Bilbao Crystallographic Server List of subgroups for a given k-index Help

### List of subgroups of space group Fm-3m(225) for a given k-index = 4

NOTE: The program uses the default choice for the group settings.

In the following table a list of t-subgroups, k-subgroups and general subgroups is given for a given k-index.
Click over "show..." to obtain the classification in conjugate classes of subgroups.

k-index ik = 4

### k-subgroups of space group Fm-3m (225)

1 Pn-3m 224 4 1 4 show...
2 Pm-3m 221 4 1 4 show...

### General type subgroups of space group Fm-3m (225)

1 P-43m 215 8 2 4 show...
2 P4232 208 8 2 4 show...
3 P432 207 8 2 4 show...
4 Pa-3 205 8 2 4 show...
5 Pn-3 201 8 2 4 show...
6 Pm-3 200 8 2 4 show...
7 P213 198 16 4 4 show...
8 P23 195 16 4 4 show...
9 R-3c 167 16 4 4 show...
10 R-3m 166 16 4 4 show...
11 R3c 161 32 8 4 show...
12 R3m 160 32 8 4 show...
13 R32 155 32 8 4 show...
14 R-3 148 32 8 4 show...
15 R3 146 64 16 4 show...
16 I41/acd 142 12 3 4 show...
17 I41/amd 141 12 3 4 show...
18 I4/mcm 140 12 3 4 show...
19 I4/mmm 139 12 3 4 show...
20 P42/ncm 138 12 3 4 show...
21 P42/nmc 137 12 3 4 show...
22 P42/mnm 136 12 3 4 show...
23 P42/nnm 134 12 3 4 show...
24 P42/mcm 132 12 3 4 show...
25 P42/mmc 131 12 3 4 show...
26 P4/ncc 130 12 3 4 show...
27 P4/nmm 129 12 3 4 show...
28 P4/mbm 127 12 3 4 show...
29 P4/nbm 125 12 3 4 show...
30 P4/mcc 124 12 3 4 show...
31 P4/mmm 123 12 3 4 show...
32 I-42d 122 24 6 4 show...
33 I-42m 121 24 6 4 show...
34 I-4c2 120 24 6 4 show...
35 I-4m2 119 24 6 4 show...
36 P-4n2 118 24 6 4 show...
37 P-4b2 117 24 6 4 show...
38 P-4c2 116 24 6 4 show...
39 P-4m2 115 24 6 4 show...
40 P-421c 114 24 6 4 show...
41 P-421m 113 24 6 4 show...
42 P-42c 112 24 6 4 show...
43 P-42m 111 24 6 4 show...
44 I41cd 110 24 6 4 show...
45 I41md 109 24 6 4 show...
46 I4cm 108 24 6 4 show...
47 I4mm 107 24 6 4 show...
48 P42mc 105 24 6 4 show...
49 P4cc 103 24 6 4 show...
50 P42nm 102 24 6 4 show...
51 P42cm 101 24 6 4 show...
52 P4bm 100 24 6 4 show...
53 P4mm 099 24 6 4 show...
54 I4122 098 24 6 4 show...
55 I422 097 24 6 4 show...
56 P43212 096 24 6 4 show...
57 P4322 095 24 6 4 show...
58 P42212 094 24 6 4 show...
59 P4222 093 24 6 4 show...
60 P41212 092 24 6 4 show...
61 P4122 091 24 6 4 show...
62 P4212 090 24 6 4 show...
63 P422 089 24 6 4 show...
64 I41/a 088 24 6 4 show...
65 I4/m 087 24 6 4 show...
66 P42/n 086 24 6 4 show...
67 P4/n 085 24 6 4 show...
68 P42/m 084 24 6 4 show...
69 P4/m 083 24 6 4 show...
70 I-4 082 48 12 4 show...
71 P-4 081 48 12 4 show...
72 I41 080 48 12 4 show...
73 I4 079 48 12 4 show...
74 P43 078 48 12 4 show...
75 P42 077 48 12 4 show...
76 P41 076 48 12 4 show...
77 P4 075 48 12 4 show...
78 Imma 074 24 6 4 show...
79 Ibca 073 24 6 4 show...
80 Ibam 072 24 6 4 show...
81 Immm 071 24 6 4 show...
82 Fddd 070 24 6 4 show...
83 Fmmm 069 24 6 4 show...
84 Ccce 068 24 6 4 show...
85 Cmme 067 24 6 4 show...
86 Cccm 066 24 6 4 show...
87 Cmmm 065 24 6 4 show...
88 Cmce 064 24 6 4 show...
89 Cmcm 063 24 6 4 show...
90 Pnma 062 24 6 4 show...
91 Pbca 061 24 6 4 show...
92 Pbcn 060 24 6 4 show...
93 Pmmn 059 24 6 4 show...
94 Pnnm 058 24 6 4 show...
95 Pbcm 057 24 6 4 show...
96 Pccn 056 24 6 4 show...
97 Pbam 055 24 6 4 show...
98 Pcca 054 24 6 4 show...
99 Pmna 053 24 6 4 show...
100 Pnna 052 24 6 4 show...
101 Pmma 051 24 6 4 show...
102 Pban 050 24 6 4 show...
103 Pccm 049 24 6 4 show...
104 Pnnn 048 24 6 4 show...
105 Pmmm 047 24 6 4 show...
106 Ima2 046 48 12 4 show...
107 Iba2 045 48 12 4 show...
108 Imm2 044 48 12 4 show...
109 Fdd2 043 48 12 4 show...
110 Fmm2 042 48 12 4 show...
111 Aea2 041 48 12 4 show...
112 Ama2 040 48 12 4 show...
113 Aem2 039 48 12 4 show...
114 Amm2 038 48 12 4 show...
115 Ccc2 037 48 12 4 show...
116 Cmc21 036 48 12 4 show...
117 Cmm2 035 48 12 4 show...
118 Pnn2 034 48 12 4 show...
119 Pna21 033 48 12 4 show...
120 Pba2 032 48 12 4 show...
121 Pmn21 031 48 12 4 show...
122 Pnc2 030 48 12 4 show...
123 Pca21 029 48 12 4 show...
124 Pma2 028 48 12 4 show...
125 Pcc2 027 48 12 4 show...
126 Pmc21 026 48 12 4 show...
127 Pmm2 025 48 12 4 show...
128 I212121 024 48 12 4 show...
129 I222 023 48 12 4 show...
130 F222 022 48 12 4 show...
131 C222 021 48 12 4 show...
132 C2221 020 48 12 4 show...
133 P212121 019 48 12 4 show...
134 P21212 018 48 12 4 show...
135 P2221 017 48 12 4 show...
136 P222 016 48 12 4 show...
137 C2/c 015 48 12 4 show...
138 P21/c 014 48 12 4 show...
139 P2/c 013 48 12 4 show...
140 C2/m 012 48 12 4 show...
141 P21/m 011 48 12 4 show...
142 P2/m 010 48 12 4 show...
143 Cc 009 96 24 4 show...
144 Cm 008 96 24 4 show...
145 Pc 007 96 24 4 show...
146 Pm 006 96 24 4 show...
147 C2 005 96 24 4 show...
148 P21 004 96 24 4 show...
149 P2 003 96 24 4 show...
150 P-1 002 96 24 4 show...
151 P1 001 192 48 4 show...