Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2559 conjugacy classes of subgroups.
The subgroup lattice has 1014 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C4×#3830 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5563 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5553 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595164 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10595133 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10595006 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10594961 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10594958 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10594929 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10594555 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10594358 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10594136 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #10594061 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #10593907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10593906 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C4×#3796 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #10593856 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #86959 | — | 3 | 1 | no | maximal |
| 19 | #86768 | — | 3 | 1 | no | maximal |
| 20 | C2×#3830 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×#235 | C22 | 1 | 2 | yes | — |
| 22 | C2×#3805 | C22 | 1 | 4 | yes | — |
| 23 | C2×#3796 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#3796 | C22 | 1 | 2 | yes | — |
| 25 | C2×#3795 | C22 | 1 | 2 | yes | — |
| 26 | C32×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 27 | D4×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×#638 | C22 | 1 | 2 | yes | — |
| 29 | C2×C4×C3⋊Dic3 | C22 | 1 | 2 | yes | — |
| 30 | #64101 | C22 | 1 | 1 | yes | characteristic |
| 31 | #64096 | C22 | 1 | 1 | yes | characteristic |
| 32 | #64090 | C22 | 1 | 2 | yes | — |
| 33 | #64086 | C22 | 1 | 2 | yes | — |
| 34 | C42×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 35 | C4×#634 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×#940 | C22 | 1 | 2 | yes | — |
| 37 | C3×#938 | C22 | 1 | 2 | yes | — |
| 38 | C3×#930 | C22 | 1 | 2 | yes | — |
| 39 | C3×#930 | C22 | 1 | 2 | yes | — |
| 40 | C3×#926 | C22 | 1 | 2 | yes | — |
| 41 | C3×#893 | C22 | 1 | 2 | yes | — |
| 42 | C3×#892 | C22 | 1 | 2 | yes | — |
| 43 | C3×#885 | C22 | 1 | 4 | yes | — |
| 44 | C3×#884 | C22 | 1 | 4 | yes | — |
| 45 | C3×#874 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#869 | C22 | 1 | 1 | yes | characteristic |
| 48 | C3×C4×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 49 | #63980 | C22 | 1 | 4 | yes | — |
| 50 | #63979 | C22 | 1 | 4 | yes | — |
| 51 | #67⋊Dic3 | C22 | 1 | 4 | yes | — |
| 52 | #67⋊Dic3 | C22 | 1 | 4 | yes | — |
| 53 | #63971 | C22 | 1 | 4 | yes | — |
| 54 | #63970 | C22 | 1 | 4 | yes | — |
| 55 | #63959 | C22 | 1 | 4 | yes | — |
| 56 | #63919 | C22 | 1 | 2 | yes | — |
| 57 | #63918 | C22 | 1 | 2 | yes | — |
| 58 | #63916 | C22 | 1 | 2 | yes | — |
| 59 | #63916 | C22 | 1 | 2 | yes | — |
| 60 | #63915 | C22 | 1 | 4 | yes | — |
| 61 | #63914 | C22 | 1 | 2 | yes | — |
| 62 | #63908 | C22 | 1 | 2 | yes | — |
| 63 | #63906 | C22 | 1 | 4 | yes | — |
| 64 | C4×#626 | C22 | 1 | 2 | yes | — |
| 65 | #63902 | C22 | 1 | 4 | yes | — |
| 66 | #63898 | C22 | 1 | 2 | yes | — |
| 67 | #63898 | C22 | 1 | 1 | yes | characteristic |
| 68 | #63898 | C22 | 1 | 2 | yes | — |
| 69 | #63898 | C22 | 1 | 2 | yes | — |
| 70 | #63885 | C22 | 1 | 4 | yes | — |
| 71 | #63881 | C22 | 1 | 2 | yes | — |
| 72 | #63879 | C22 | 1 | 4 | yes | — |
| 73 | #63878 | C22 | 1 | 2 | yes | — |
| 74 | #63877 | C22 | 1 | 4 | yes | — |
| 75 | C4×D3×Dic3 | C22 | 1 | 4 | yes | — |
| 76 | C4×D3×Dic3 | C22 | 1 | 2 | yes | — |
| 77 | #63863 | C22 | 1 | 2 | yes | — |
| 78 | #63855 | C22 | 1 | 4 | yes | — |
| 79 | #63852 | C22 | 1 | 4 | yes | — |
| 80 | #63849 | C22 | 1 | 1 | yes | characteristic |
| 81 | #63844 | C22 | 1 | 2 | yes | — |
| 82 | #63843 | C22 | 1 | 2 | yes | — |
| 83 | #63843 | C22 | 1 | 1 | yes | characteristic |
| 84 | #63839 | C22 | 1 | 4 | yes | — |
| 85 | C3×#555 | — | 3 | 1 | no | — |
| 86 | C3×#550 | — | 3 | 1 | no | — |
| 87 | #5834 | — | 3 | 2 | no | — |
| 88 | Dic3×#41 | — | 3 | 2 | no | — |
| 89 | #5725 | — | 3 | 1 | no | — |
| 90 | #5722 | — | 3 | 1 | no | — |
| 91 | #5718 | — | 3 | 2 | no | — |
| 92 | #5718 | — | 3 | 1 | no | — |
| 93 | #5716 | — | 3 | 2 | no | — |
| 94 | #5716 | — | 3 | 1 | no | — |
| 95 | #5670 | — | 3 | 4 | no | — |
| 96 | #5668 | — | 3 | 4 | no | — |
| 97 | #5616 | — | 3 | 2 | no | — |
| 98 | #5616 | — | 3 | 4 | no | — |
| 99 | #5599 | — | 3 | 2 | no | — |
| 100 | #5599 | — | 3 | 2 | no | — |
| 101 | #5596 | — | 3 | 2 | no | — |
| 102 | #5596 | — | 3 | 2 | no | — |
| 103 | #5596 | — | 3 | 2 | no | — |
| 104 | #5596 | — | 3 | 4 | no | — |
| 105 | C4×#239 | — | 3 | 1 | no | — |
| 106 | Q8×Dic6 | — | 3 | 1 | no | — |
| 107 | #5563 | — | 3 | 2 | no | — |
| 108 | #5563 | D3 | 1 | 1 | yes | characteristic, complemented |
| 109 | #5553 | — | 3 | 1 | no | — |
| 110 | #5553 | D3 | 1 | 1 | yes | characteristic, complemented |
| 111 | C4×#237 | — | 3 | 1 | no | — |
| 112 | C4×#237 | — | 3 | 1 | no | — |
| 113 | C4×#237 | — | 3 | 2 | no | — |
| 114 | C4×#237 | — | 3 | 1 | no | — |
| 115 | C4×#237 | — | 6 | 1 | no | — |
| 116 | #5532 | — | 3 | 2 | no | — |
| 117 | #5532 | — | 3 | 2 | no | — |
| 118 | #5522 | — | 3 | 2 | no | — |
| 119 | #5522 | — | 3 | 2 | no | — |
| 120 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 121 | C22×C32×C4 | C23 | 1 | 2 | yes | — |
| 122 | C2×#638 | C23 | 1 | 2 | yes | — |
| 123 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 124 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 125 | #3830 | — | 2 | 4 | no | — |
| 126 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×C3×#67 | C23 | 1 | 4 | yes | — |
| 131 | C2×C3×#67 | C23 | 1 | 4 | yes | — |
| 132 | C2×C3×#67 | C23 | 1 | 4 | yes | — |
| 133 | C3×#235 | — | 2 | 8 | no | — |
| 134 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 135 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 137 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 138 | C2×C3×C4×D3 | C23 | 1 | 4 | yes | — |
| 139 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 140 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 141 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×#627 | C23 | 1 | 4 | yes | — |
| 143 | C2×#626 | C23 | 1 | 2 | yes | — |
| 144 | C2×#626 | C23 | 1 | 4 | yes | — |
| 145 | C2×#625 | C23 | 1 | 4 | yes | — |
| 146 | C2×#625 | C23 | 1 | 4 | yes | — |
| 147 | #3805 | — | 4 | 8 | no | — |
| 148 | C2×D3×Dic3 | C23 | 1 | 4 | yes | — |
| 149 | C2×D3×Dic3 | C23 | 1 | 4 | yes | — |
| 150 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 151 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 152 | #3796 | — | 2 | 4 | no | — |
| 153 | #3796 | — | 4 | 4 | no | — |
| 154 | #3795 | — | 2 | 8 | no | — |
| 155 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 156 | C32×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 157 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 158 | #3757 | C23 | 1 | 2 | yes | — |
| 159 | #3752 | C23 | 1 | 2 | yes | — |
| 160 | C4⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic |
| 161 | #3750 | C23 | 1 | 2 | yes | — |
| 162 | #3750 | C23 | 1 | 2 | yes | — |
| 163 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 164 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 165 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 166 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 167 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 168 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 169 | C3×#217 | C23 | 1 | 4 | yes | — |
| 170 | C3×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 171 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 172 | C3×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 173 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 174 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 175 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 176 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 177 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 178 | C3×C4×Dic3 | C23 | 1 | 4 | yes | — |
| 179 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 180 | #3724 | C23 | 1 | 4 | yes | — |
| 181 | Dic3⋊Dic3 | C23 | 1 | 4 | yes | — |
| 182 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 183 | #3722 | C23 | 1 | 2 | yes | — |
| 184 | (C2×D3)⋊Dic3 | C23 | 1 | 4 | yes | — |
| 185 | (C2×D3)⋊Dic3 | C23 | 1 | 4 | yes | — |
| 186 | (C2×D3)⋊Dic3 | C23 | 1 | 4 | yes | — |
| 187 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 188 | Dic32 | C23 | 1 | 4 | yes | — |
| 189 | Dic32 | C23 | 1 | 2 | yes | — |
| 190 | Dic32 | C23 | 1 | 2 | yes | — |
| 191 | #3483 | — | 9 | 1 | no | Sylow |
| 192 | C2×C3×#41 | — | 3 | 2 | no | — |
| 193 | C2×#239 | — | 3 | 1 | no | — |
| 194 | C2×#239 | — | 3 | 2 | no | — |
| 195 | C2×#237 | — | 3 | 1 | no | — |
| 196 | C2×#237 | — | 3 | 1 | no | — |
| 197 | C2×#237 | — | 3 | 4 | no | — |
| 198 | C2×#237 | — | 3 | 4 | no | — |
| 199 | C2×#237 | — | 3 | 2 | no | — |
| 200 | C2×#237 | — | 3 | 1 | no | — |
| 201 | C2×#237 | — | 3 | 2 | no | — |
| 202 | C2×#237 | — | 6 | 1 | no | — |
| 203 | C2×#235 | — | 3 | 2 | no | — |
| 204 | C2×#235 | C2×D3 | 1 | 2 | yes | — |
| 205 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 206 | C3×#127 | — | 3 | 2 | no | — |
| 207 | C3×#127 | — | 3 | 1 | no | — |
| 208 | C3×#124 | — | 3 | 4 | no | — |
| 209 | C3×#121 | — | 3 | 2 | no | — |
| 210 | C3×#121 | — | 3 | 2 | no | — |
| 211 | C3×#121 | — | 3 | 2 | no | — |
| 212 | C3×#121 | — | 3 | 4 | no | — |
| 213 | C3×C4×Q8 | — | 3 | 1 | no | — |
| 214 | C3×C4×D4 | — | 2 | 1 | no | — |
| 215 | C3×C4×D4 | — | 3 | 2 | no | — |
| 216 | C3×C4×D4 | — | 3 | 1 | no | — |
| 217 | C3×C4×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 218 | C3×C4×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 219 | C3×#117 | — | 3 | 2 | no | — |
| 220 | C3×#117 | — | 3 | 2 | no | — |
| 221 | #947 | — | 3 | 2 | no | — |
| 222 | Q8×Dic3 | — | 3 | 2 | no | — |
| 223 | Q8×Dic3 | — | 3 | 1 | no | — |
| 224 | #944 | — | 3 | 4 | no | — |
| 225 | #940 | — | 3 | 4 | no | — |
| 226 | #940 | — | 3 | 4 | no | — |
| 227 | #940 | — | 3 | 2 | no | — |
| 228 | #940 | — | 3 | 2 | no | — |
| 229 | #940 | C2×D3 | 1 | 2 | yes | — |
| 230 | #939 | — | 3 | 4 | no | — |
| 231 | #939 | — | 3 | 4 | no | — |
| 232 | #939 | — | 3 | 4 | no | — |
| 233 | #939 | — | 3 | 4 | no | — |
| 234 | #939 | — | 3 | 4 | no | — |
| 235 | #938 | — | 3 | 4 | no | — |
| 236 | #938 | — | 3 | 2 | no | — |
| 237 | #938 | — | 3 | 2 | no | — |
| 238 | #938 | — | 3 | 2 | no | — |
| 239 | #938 | C2×D3 | 1 | 2 | yes | — |
| 240 | #936 | — | 3 | 2 | no | — |
| 241 | #936 | — | 3 | 4 | no | — |
| 242 | D4×Dic3 | — | 3 | 1 | no | — |
| 243 | D4×Dic3 | — | 3 | 1 | no | — |
| 244 | D4×Dic3 | — | 3 | 4 | no | — |
| 245 | D4×Dic3 | — | 3 | 4 | no | — |
| 246 | D4×Dic3 | — | 3 | 2 | no | — |
| 247 | D4×Dic3 | — | 3 | 2 | no | — |
| 248 | D4×Dic3 | — | 3 | 2 | no | — |
| 249 | D4×Dic3 | — | 3 | 1 | no | — |
| 250 | D4×Dic3 | — | 6 | 1 | no | — |
| 251 | #930 | — | 3 | 2 | no | — |
| 252 | #930 | — | 3 | 4 | no | — |
| 253 | #930 | C2×D3 | 1 | 2 | yes | — |
| 254 | #930 | C2×D3 | 1 | 2 | yes | — |
| 255 | C4×#67 | — | 3 | 2 | no | — |
| 256 | C4×#67 | — | 3 | 2 | no | — |
| 257 | C4×#67 | — | 3 | 4 | no | — |
| 258 | C4×#67 | — | 3 | 2 | no | — |
| 259 | C4×#67 | — | 6 | 2 | no | — |
| 260 | #926 | — | 3 | 4 | no | — |
| 261 | #926 | C2×D3 | 1 | 2 | yes | — |
| 262 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 263 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 264 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 265 | C2×C4×Dic3 | — | 3 | 4 | no | — |
| 266 | C2×C4×Dic3 | — | 6 | 2 | no | — |
| 267 | #895 | — | 3 | 2 | no | — |
| 268 | #895 | — | 3 | 2 | no | — |
| 269 | #893 | — | 3 | 2 | no | — |
| 270 | #893 | — | 3 | 2 | no | — |
| 271 | #893 | — | 3 | 2 | no | — |
| 272 | #893 | — | 3 | 1 | no | — |
| 273 | #893 | — | 3 | 2 | no | — |
| 274 | #893 | C2×D3 | 1 | 2 | yes | — |
| 275 | #892 | — | 3 | 1 | no | — |
| 276 | #892 | — | 3 | 1 | no | — |
| 277 | #892 | — | 3 | 2 | no | — |
| 278 | #892 | — | 3 | 1 | no | — |
| 279 | #892 | — | 3 | 1 | no | — |
| 280 | #892 | — | 6 | 1 | no | — |
| 281 | #892 | C2×D3 | 1 | 2 | yes | — |
| 282 | #888 | — | 3 | 4 | no | — |
| 283 | #888 | — | 3 | 2 | no | — |
| 284 | #888 | — | 3 | 2 | no | — |
| 285 | #888 | — | 3 | 2 | no | — |
| 286 | #887 | — | 3 | 2 | no | — |
| 287 | #887 | — | 3 | 1 | no | — |
| 288 | #887 | — | 3 | 1 | no | — |
| 289 | #887 | — | 3 | 1 | no | — |
| 290 | #887 | — | 3 | 2 | no | — |
| 291 | #887 | — | 6 | 1 | no | — |
| 292 | #885 | — | 3 | 4 | no | — |
| 293 | #885 | — | 3 | 4 | no | — |
| 294 | #885 | — | 3 | 4 | no | — |
| 295 | #885 | — | 3 | 4 | no | — |
| 296 | #885 | C2×D3 | 1 | 4 | yes | — |
| 297 | #884 | — | 3 | 4 | no | — |
| 298 | #884 | — | 3 | 4 | no | — |
| 299 | #884 | — | 3 | 4 | no | — |
| 300 | #884 | C2×D3 | 1 | 4 | yes | — |
| 301 | #67⋊C4 | — | 3 | 4 | no | — |
| 302 | #67⋊C4 | — | 3 | 4 | no | — |
| 303 | #67⋊C4 | — | 3 | 4 | no | — |
| 304 | #67⋊C4 | — | 3 | 2 | no | — |
| 305 | #67⋊C4 | — | 3 | 2 | no | — |
| 306 | #67⋊C4 | — | 3 | 4 | no | — |
| 307 | #67⋊C4 | — | 3 | 4 | no | — |
| 308 | #67⋊C4 | — | 3 | 2 | no | — |
| 309 | #67⋊C4 | — | 6 | 2 | no | — |
| 310 | #877 | — | 3 | 2 | no | — |
| 311 | #877 | — | 3 | 2 | no | — |
| 312 | #877 | — | 3 | 2 | no | — |
| 313 | #877 | — | 3 | 4 | no | — |
| 314 | #877 | — | 6 | 2 | no | — |
| 315 | #875 | — | 3 | 4 | no | — |
| 316 | #874 | C2×D3 | 1 | 1 | yes | characteristic |
| 317 | C4×D12 | — | 3 | 2 | no | — |
| 318 | C4×D12 | C2×D3 | 1 | 1 | yes | characteristic |
| 319 | #872 | — | 3 | 4 | no | — |
| 320 | #872 | — | 3 | 4 | no | — |
| 321 | C42×D3 | — | 3 | 4 | no | — |
| 322 | C42×D3 | — | 3 | 2 | no | — |
| 323 | C42×D3 | — | 3 | 1 | no | — |
| 324 | C42×D3 | — | 3 | 1 | no | — |
| 325 | C42×D3 | — | 6 | 1 | no | — |
| 326 | #869 | — | 3 | 2 | no | — |
| 327 | #869 | C2×D3 | 1 | 1 | yes | characteristic |
| 328 | C4×Dic6 | — | 3 | 1 | no | — |
| 329 | C4×Dic6 | — | 3 | 1 | no | — |
| 330 | C4×Dic6 | — | 3 | 2 | no | — |
| 331 | C4×Dic6 | — | 6 | 1 | no | — |
| 332 | C4×Dic6 | C2×D3 | 1 | 1 | yes | characteristic |
| 333 | C23×C32 | C24 | 1 | 2 | yes | — |
| 334 | C22×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 335 | C22×C3×D3 | C24 | 1 | 4 | yes | — |
| 336 | C22×C3×D3 | C24 | 1 | 2 | yes | — |
| 337 | C32×D4 | — | 2 | 2 | no | — |
| 338 | C2×C32×C4 | — | 2 | 4 | no | — |
| 339 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 340 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 341 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 342 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 343 | #638 | — | 2 | 4 | no | — |
| 344 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 345 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 346 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 347 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 348 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 349 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 350 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 351 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 352 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 353 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 354 | #634 | #41 | 1 | 4 | yes | complemented |
| 355 | C3×#67 | — | 2 | 8 | no | — |
| 356 | C3×#67 | — | 4 | 4 | no | — |
| 357 | C3×#67 | — | 4 | 4 | no | — |
| 358 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 359 | C2×C3×Dic3 | C24 | 1 | 4 | yes | — |
| 360 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 361 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 362 | C3×D12 | — | 2 | 4 | no | — |
| 363 | C3×D12 | — | 2 | 2 | no | — |
| 364 | C3×D12 | — | 2 | 4 | no | — |
| 365 | C3×D12 | — | 4 | 2 | no | — |
| 366 | C3×C4×D3 | — | 2 | 4 | no | — |
| 367 | C3×C4×D3 | — | 2 | 8 | no | — |
| 368 | C3×Dic6 | — | 4 | 2 | no | — |
| 369 | C3×Dic6 | #41 | 1 | 4 | yes | complemented |
| 370 | #627 | — | 4 | 4 | no | — |
| 371 | #626 | — | 2 | 4 | no | — |
| 372 | #626 | — | 4 | 4 | no | — |
| 373 | #625 | — | 2 | 8 | no | — |
| 374 | #625 | — | 4 | 4 | no | — |
| 375 | D3×Dic3 | — | 2 | 8 | no | — |
| 376 | D3×Dic3 | — | 2 | 8 | no | — |
| 377 | D3×Dic3 | — | 2 | 4 | no | — |
| 378 | D3×Dic3 | — | 2 | 4 | no | — |
| 379 | Q82 | — | 9 | 1 | no | — |
| 380 | #555 | — | 3 | 1 | no | — |
| 381 | #555 | — | 9 | 2 | no | — |
| 382 | #555 | — | 9 | 2 | no | — |
| 383 | #555 | — | 9 | 4 | no | — |
| 384 | #550 | — | 3 | 1 | no | — |
| 385 | #550 | — | 9 | 1 | no | — |
| 386 | #550 | — | 9 | 2 | no | — |
| 387 | #550 | — | 9 | 2 | no | — |
| 388 | #532 | — | 9 | 2 | no | — |
| 389 | #532 | — | 9 | 4 | no | — |
| 390 | #532 | — | 9 | 2 | no | — |
| 391 | #532 | — | 9 | 1 | no | — |
| 392 | C4×#41 | — | 9 | 2 | no | — |
| 393 | C4×#41 | — | 9 | 2 | no | — |
| 394 | C4×#41 | — | 9 | 1 | no | — |
| 395 | C4×#41 | — | 9 | 1 | no | — |
| 396 | C3×#41 | — | 6 | 8 | no | — |
| 397 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 398 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 399 | C2×C3×D4 | — | 2 | 1 | no | — |
| 400 | C2×C3×D4 | — | 3 | 4 | no | — |
| 401 | C2×C3×D4 | — | 3 | 4 | no | — |
| 402 | C2×C3×D4 | — | 3 | 4 | no | — |
| 403 | C2×C3×D4 | — | 3 | 2 | no | — |
| 404 | C2×C3×D4 | — | 3 | 2 | no | — |
| 405 | C2×C3×D4 | — | 3 | 1 | no | — |
| 406 | C2×C3×D4 | — | 3 | 2 | no | — |
| 407 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 408 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 409 | C22×C3×C4 | — | 2 | 2 | no | — |
| 410 | C22×C3×C4 | — | 3 | 4 | no | — |
| 411 | C22×C3×C4 | — | 3 | 2 | no | — |
| 412 | C22×C3×C4 | C22×D3 | 1 | 2 | yes | — |
| 413 | C22×C3×C4 | C22×D3 | 1 | 2 | yes | — |
| 414 | C2×#67 | — | 3 | 2 | no | — |
| 415 | C2×#67 | — | 3 | 2 | no | — |
| 416 | C2×#67 | — | 3 | 4 | no | — |
| 417 | C2×#67 | — | 3 | 4 | no | — |
| 418 | C2×#67 | — | 3 | 4 | no | — |
| 419 | C2×#67 | — | 3 | 4 | no | — |
| 420 | C2×#67 | — | 3 | 2 | no | — |
| 421 | C2×#67 | — | 3 | 4 | no | — |
| 422 | C2×#67 | — | 6 | 2 | no | — |
| 423 | C2×#67 | C22×D3 | 1 | 4 | yes | — |
| 424 | C2×#67 | C22×D3 | 1 | 4 | yes | — |
| 425 | C2×#67 | C22×D3 | 1 | 4 | yes | — |
| 426 | C22×Dic3 | — | 3 | 2 | no | — |
| 427 | C22×Dic3 | — | 3 | 2 | no | — |
| 428 | C22×Dic3 | — | 3 | 2 | no | — |
| 429 | C22×Dic3 | — | 3 | 2 | no | — |
| 430 | C22×Dic3 | — | 3 | 2 | no | — |
| 431 | C22×Dic3 | — | 3 | 4 | no | — |
| 432 | C22×Dic3 | — | 3 | 2 | no | — |
| 433 | C22×Dic3 | — | 3 | 4 | no | — |
| 434 | C22×Dic3 | — | 6 | 2 | no | — |
| 435 | C22×Dic3 | — | 6 | 2 | no | — |
| 436 | #239 | — | 6 | 4 | no | — |
| 437 | #239 | — | 12 | 4 | no | — |
| 438 | #237 | — | 6 | 8 | no | — |
| 439 | #237 | — | 6 | 4 | no | — |
| 440 | #237 | — | 6 | 4 | no | — |
| 441 | #237 | — | 6 | 8 | no | — |
| 442 | #237 | — | 6 | 4 | no | — |
| 443 | #237 | — | 12 | 4 | no | — |
| 444 | #237 | — | 12 | 8 | no | — |
| 445 | #237 | — | 12 | 8 | no | — |
| 446 | #235 | — | 2 | 8 | no | — |
| 447 | #235 | — | 6 | 8 | no | — |
| 448 | C2×D12 | — | 3 | 2 | no | — |
| 449 | C2×D12 | — | 3 | 4 | no | — |
| 450 | C2×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 452 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 453 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 454 | C2×C4×D3 | — | 3 | 4 | no | — |
| 455 | C2×C4×D3 | — | 3 | 2 | no | — |
| 456 | C2×C4×D3 | — | 3 | 4 | no | — |
| 457 | C2×C4×D3 | — | 3 | 2 | no | — |
| 458 | C2×C4×D3 | — | 3 | 1 | no | — |
| 459 | C2×C4×D3 | — | 3 | 1 | no | — |
| 460 | C2×C4×D3 | — | 3 | 1 | no | — |
| 461 | C2×C4×D3 | — | 3 | 1 | no | — |
| 462 | C2×C4×D3 | — | 3 | 1 | no | — |
| 463 | C2×C4×D3 | — | 3 | 1 | no | — |
| 464 | C2×C4×D3 | — | 6 | 1 | no | — |
| 465 | C2×C4×D3 | — | 6 | 1 | no | — |
| 466 | C2×C4×D3 | — | 6 | 1 | no | — |
| 467 | C2×C4×D3 | C22×D3 | 1 | 4 | yes | — |
| 468 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 469 | C2×Dic6 | — | 3 | 1 | no | — |
| 470 | C2×Dic6 | — | 3 | 1 | no | — |
| 471 | C2×Dic6 | — | 3 | 4 | no | — |
| 472 | C2×Dic6 | — | 3 | 4 | no | — |
| 473 | C2×Dic6 | — | 6 | 1 | no | — |
| 474 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 475 | C2×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 476 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 477 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 478 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 479 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 480 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 481 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 482 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 483 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 484 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 485 | C3×C22⋊C4 | — | 3 | 4 | no | — |
| 486 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 487 | C3×C22⋊C4 | — | 3 | 4 | no | — |
| 488 | C3×C22⋊C4 | — | 3 | 4 | no | — |
| 489 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 490 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 491 | C3×C42 | — | 2 | 1 | no | — |
| 492 | C3×C42 | — | 3 | 2 | no | — |
| 493 | C3×C42 | — | 3 | 4 | no | — |
| 494 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 495 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 496 | #217 | — | 3 | 2 | no | — |
| 497 | #217 | — | 3 | 2 | no | — |
| 498 | #217 | — | 3 | 2 | no | — |
| 499 | #217 | — | 3 | 4 | no | — |
| 500 | #217 | — | 3 | 4 | no | — |
| 501 | #217 | — | 3 | 4 | no | — |
| 502 | #217 | — | 6 | 2 | no | — |
| 503 | #217 | C22×D3 | 1 | 4 | yes | — |
| 504 | (C2×D3)⋊C4 | — | 3 | 4 | no | — |
| 505 | (C2×D3)⋊C4 | — | 3 | 4 | no | — |
| 506 | (C2×D3)⋊C4 | — | 3 | 4 | no | — |
| 507 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 508 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 509 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 510 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 511 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 512 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 513 | (C2×D3)⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 514 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 515 | (C2×D3)⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 516 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 517 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 518 | C4⋊Dic3 | — | 3 | 4 | no | — |
| 519 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 520 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 521 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 522 | C4⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 523 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 524 | C4⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 525 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 526 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 527 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 528 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 529 | Dic3⋊C4 | — | 3 | 4 | no | — |
| 530 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 531 | Dic3⋊C4 | — | 3 | 4 | no | — |
| 532 | Dic3⋊C4 | — | 3 | 4 | no | — |
| 533 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 534 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 535 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 536 | C4×Dic3 | — | 3 | 2 | no | — |
| 537 | C4×Dic3 | — | 3 | 2 | no | — |
| 538 | C4×Dic3 | — | 3 | 1 | no | — |
| 539 | C4×Dic3 | — | 3 | 2 | no | — |
| 540 | C4×Dic3 | — | 3 | 1 | no | — |
| 541 | C4×Dic3 | — | 3 | 1 | no | — |
| 542 | C4×Dic3 | — | 3 | 1 | no | — |
| 543 | C4×Dic3 | — | 3 | 1 | no | — |
| 544 | C4×Dic3 | — | 3 | 1 | no | — |
| 545 | C4×Dic3 | — | 3 | 2 | no | — |
| 546 | C4×Dic3 | — | 3 | 2 | no | — |
| 547 | C4×Dic3 | — | 3 | 2 | no | — |
| 548 | C4×Dic3 | — | 3 | 4 | no | — |
| 549 | C4×Dic3 | — | 3 | 2 | no | — |
| 550 | C4×Dic3 | — | 3 | 2 | no | — |
| 551 | C4×Dic3 | — | 3 | 4 | no | — |
| 552 | C4×Dic3 | — | 3 | 2 | no | — |
| 553 | C4×Dic3 | — | 3 | 2 | no | — |
| 554 | C4×Dic3 | — | 6 | 2 | no | — |
| 555 | C4×Dic3 | — | 6 | 1 | no | — |
| 556 | C4×Dic3 | — | 6 | 1 | no | — |
| 557 | C4×Dic3 | — | 6 | 1 | no | — |
| 558 | C4×Dic3 | — | 6 | 2 | no | — |
| 559 | C4×Dic3 | — | 6 | 2 | no | — |
| 560 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 561 | C4×Dic3 | C22×D3 | 1 | 4 | yes | — |
| 562 | C22×C32 | — | 2 | 2 | no | — |
| 563 | C22×C32 | — | 2 | 2 | no | — |
| 564 | C22×C32 | — | 2 | 2 | no | — |
| 565 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 566 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 567 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 568 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 569 | C2×C3×D3 | — | 2 | 4 | no | — |
| 570 | C2×C3×D3 | — | 2 | 2 | no | — |
| 571 | C2×C3×D3 | — | 2 | 2 | no | — |
| 572 | C2×C3×D3 | — | 2 | 4 | no | — |
| 573 | C2×C3×D3 | — | 2 | 2 | no | — |
| 574 | C2×C3×D3 | — | 2 | 4 | no | — |
| 575 | C32×C4 | — | 2 | 2 | no | — |
| 576 | C32×C4 | — | 2 | 1 | no | — |
| 577 | C32×C4 | C2×#41 | 1 | 2 | yes | — |
| 578 | C32×C4 | C2×#41 | 1 | 2 | yes | — |
| 579 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 580 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 581 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 582 | C3⋊Dic3 | C2×#41 | 1 | 4 | yes | — |
| 583 | C3⋊Dic3 | H(5,𝔽2) | 1 | 2 | yes | — |
| 584 | C3×Dic3 | — | 2 | 2 | no | — |
| 585 | C3×Dic3 | — | 2 | 4 | no | — |
| 586 | C3×Dic3 | — | 2 | 2 | no | — |
| 587 | C3×Dic3 | C2×#41 | 1 | 4 | yes | — |
| 588 | C2×#41 | — | 3 | 2 | no | — |
| 589 | C2×#41 | — | 9 | 2 | no | — |
| 590 | C2×#41 | — | 9 | 4 | no | — |
| 591 | C2×#41 | — | 9 | 1 | no | — |
| 592 | C2×#41 | — | 9 | 2 | no | — |
| 593 | C2×#41 | — | 9 | 1 | no | — |
| 594 | C4⋊Q8 | — | 3 | 1 | no | — |
| 595 | C4⋊Q8 | — | 9 | 2 | no | — |
| 596 | C4⋊Q8 | — | 9 | 2 | no | — |
| 597 | C4⋊Q8 | — | 9 | 4 | no | — |
| 598 | #127 | — | 3 | 2 | no | — |
| 599 | #127 | — | 3 | 1 | no | — |
| 600 | #127 | — | 9 | 4 | no | — |
| 601 | #127 | — | 9 | 2 | no | — |
| 602 | #124 | — | 3 | 4 | no | — |
| 603 | #124 | — | 9 | 4 | no | — |
| 604 | #124 | — | 9 | 4 | no | — |
| 605 | #124 | — | 9 | 4 | no | — |
| 606 | #124 | — | 9 | 2 | no | — |
| 607 | #121 | — | 3 | 2 | no | — |
| 608 | #121 | — | 3 | 2 | no | — |
| 609 | #121 | — | 3 | 2 | no | — |
| 610 | #121 | — | 3 | 4 | no | — |
| 611 | #121 | — | 9 | 4 | no | — |
| 612 | #121 | — | 9 | 4 | no | — |
| 613 | #121 | — | 9 | 4 | no | — |
| 614 | #121 | — | 9 | 2 | no | — |
| 615 | #121 | — | 9 | 2 | no | — |
| 616 | #121 | — | 9 | 2 | no | — |
| 617 | #121 | — | 9 | 4 | no | — |
| 618 | #121 | — | 9 | 4 | no | — |
| 619 | C4×Q8 | — | 3 | 1 | no | — |
| 620 | C4×Q8 | — | 9 | 2 | no | — |
| 621 | C4×Q8 | — | 9 | 1 | no | — |
| 622 | C4×Q8 | — | 9 | 2 | no | — |
| 623 | C4×Q8 | — | 9 | 1 | no | — |
| 624 | C4×Q8 | — | 9 | 1 | no | — |
| 625 | C4×D4 | — | 3 | 2 | no | — |
| 626 | C4×D4 | — | 3 | 1 | no | — |
| 627 | C4×D4 | — | 9 | 2 | no | — |
| 628 | C4×D4 | — | 9 | 4 | no | — |
| 629 | C4×D4 | — | 9 | 2 | no | — |
| 630 | C4×D4 | — | 9 | 4 | no | — |
| 631 | C4×D4 | — | 9 | 4 | no | — |
| 632 | C4×D4 | — | 9 | 4 | no | — |
| 633 | C4×D4 | — | 9 | 2 | no | — |
| 634 | C4×D4 | — | 9 | 2 | no | — |
| 635 | C4×D4 | — | 9 | 1 | no | — |
| 636 | C4×D4 | — | 9 | 2 | no | — |
| 637 | C4×D4 | — | 9 | 1 | no | — |
| 638 | C4×D4 | — | 9 | 2 | no | — |
| 639 | C4×D4 | — | 9 | 2 | no | — |
| 640 | C4×D4 | D32 | 1 | 1 | yes | characteristic |
| 641 | #117 | — | 3 | 2 | no | — |
| 642 | #117 | — | 3 | 2 | no | — |
| 643 | #117 | — | 9 | 4 | no | — |
| 644 | #117 | — | 9 | 4 | no | — |
| 645 | #117 | — | 9 | 2 | no | — |
| 646 | #117 | — | 9 | 1 | no | — |
| 647 | #117 | — | 9 | 1 | no | — |
| 648 | #117 | — | 9 | 2 | no | — |
| 649 | C2×C42 | — | 9 | 4 | no | — |
| 650 | C2×C42 | — | 9 | 2 | no | — |
| 651 | C2×C42 | — | 9 | 2 | no | — |
| 652 | C2×C42 | — | 9 | 1 | no | — |
| 653 | C23×C3 | — | 2 | 2 | no | — |
| 654 | C23×C3 | — | 3 | 4 | no | — |
| 655 | C23×C3 | — | 3 | 2 | no | — |
| 656 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 657 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 658 | C22×D3 | — | 3 | 1 | no | — |
| 659 | C22×D3 | — | 3 | 1 | no | — |
| 660 | C22×D3 | — | 6 | 1 | no | — |
| 661 | C22×D3 | C23×D3 | 1 | 4 | yes | — |
| 662 | C22×D3 | C23×D3 | 1 | 2 | yes | — |
| 663 | C3×Q8 | — | 3 | 4 | no | — |
| 664 | C3×Q8 | — | 12 | 2 | no | — |
| 665 | C3×D4 | — | 2 | 4 | no | — |
| 666 | C3×D4 | — | 2 | 2 | no | — |
| 667 | C3×D4 | — | 2 | 2 | no | — |
| 668 | C3×D4 | — | 6 | 8 | no | — |
| 669 | C3×D4 | — | 6 | 2 | no | — |
| 670 | C3×D4 | — | 6 | 4 | no | — |
| 671 | C3×D4 | — | 6 | 4 | no | — |
| 672 | C3×D4 | — | 12 | 2 | no | — |
| 673 | C3×D4 | — | 12 | 4 | no | — |
| 674 | C3×D4 | — | 12 | 4 | no | — |
| 675 | C2×C3×C4 | — | 2 | 4 | no | — |
| 676 | C2×C3×C4 | — | 2 | 4 | no | — |
| 677 | C2×C3×C4 | — | 2 | 1 | no | — |
| 678 | C2×C3×C4 | — | 2 | 1 | no | — |
| 679 | C2×C3×C4 | — | 2 | 2 | no | — |
| 680 | C2×C3×C4 | — | 2 | 1 | no | — |
| 681 | C2×C3×C4 | — | 3 | 2 | no | — |
| 682 | C2×C3×C4 | — | 3 | 2 | no | — |
| 683 | C2×C3×C4 | — | 3 | 2 | no | — |
| 684 | C2×C3×C4 | — | 3 | 4 | no | — |
| 685 | C2×C3×C4 | — | 4 | 4 | no | — |
| 686 | C2×C3×C4 | — | 6 | 8 | no | — |
| 687 | C2×C3×C4 | — | 6 | 4 | no | — |
| 688 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 689 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 690 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 691 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 692 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 693 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 694 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 695 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 696 | #67 | — | 2 | 8 | no | — |
| 697 | #67 | — | 4 | 4 | no | — |
| 698 | #67 | — | 4 | 4 | no | — |
| 699 | #67 | — | 6 | 8 | no | — |
| 700 | #67 | — | 6 | 8 | no | — |
| 701 | #67 | — | 6 | 4 | no | — |
| 702 | #67 | — | 6 | 4 | no | — |
| 703 | #67 | — | 6 | 8 | no | — |
| 704 | #67 | — | 6 | 4 | no | — |
| 705 | #67 | — | 12 | 4 | no | — |
| 706 | #67 | — | 12 | 4 | no | — |
| 707 | #67 | — | 12 | 4 | no | — |
| 708 | C2×Dic3 | — | 3 | 1 | no | — |
| 709 | C2×Dic3 | — | 3 | 1 | no | — |
| 710 | C2×Dic3 | — | 3 | 2 | no | — |
| 711 | C2×Dic3 | — | 3 | 2 | no | — |
| 712 | C2×Dic3 | — | 3 | 1 | no | — |
| 713 | C2×Dic3 | — | 3 | 1 | no | — |
| 714 | C2×Dic3 | — | 3 | 1 | no | — |
| 715 | C2×Dic3 | — | 3 | 1 | no | — |
| 716 | C2×Dic3 | — | 3 | 2 | no | — |
| 717 | C2×Dic3 | — | 3 | 2 | no | — |
| 718 | C2×Dic3 | — | 6 | 1 | no | — |
| 719 | C2×Dic3 | — | 6 | 1 | no | — |
| 720 | C2×Dic3 | — | 6 | 2 | no | — |
| 721 | C2×Dic3 | — | 6 | 1 | no | — |
| 722 | C2×Dic3 | — | 6 | 2 | no | — |
| 723 | C2×Dic3 | — | 6 | 8 | no | — |
| 724 | C2×Dic3 | — | 6 | 8 | no | — |
| 725 | C2×Dic3 | — | 6 | 4 | no | — |
| 726 | C2×Dic3 | — | 6 | 4 | no | — |
| 727 | C2×Dic3 | — | 6 | 4 | no | — |
| 728 | C2×Dic3 | — | 6 | 4 | no | — |
| 729 | C2×Dic3 | — | 6 | 4 | no | — |
| 730 | C2×Dic3 | — | 6 | 8 | no | — |
| 731 | C2×Dic3 | — | 6 | 4 | no | — |
| 732 | C2×Dic3 | — | 12 | 4 | no | — |
| 733 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 734 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 735 | C2×Dic3 | C23×D3 | 1 | 4 | yes | — |
| 736 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 737 | D12 | — | 2 | 4 | no | — |
| 738 | D12 | — | 2 | 4 | no | — |
| 739 | D12 | — | 2 | 2 | no | — |
| 740 | D12 | — | 4 | 2 | no | — |
| 741 | D12 | — | 6 | 4 | no | — |
| 742 | D12 | — | 12 | 4 | no | — |
| 743 | C4×D3 | — | 2 | 4 | no | — |
| 744 | C4×D3 | — | 2 | 8 | no | — |
| 745 | C4×D3 | — | 6 | 2 | no | — |
| 746 | C4×D3 | — | 6 | 2 | no | — |
| 747 | C4×D3 | — | 6 | 8 | no | — |
| 748 | C4×D3 | — | 6 | 4 | no | — |
| 749 | C4×D3 | — | 6 | 8 | no | — |
| 750 | C4×D3 | — | 6 | 4 | no | — |
| 751 | C4×D3 | — | 6 | 4 | no | — |
| 752 | C4×D3 | — | 6 | 2 | no | — |
| 753 | C4×D3 | — | 6 | 2 | no | — |
| 754 | C4×D3 | — | 6 | 2 | no | — |
| 755 | C4×D3 | — | 6 | 2 | no | — |
| 756 | C4×D3 | — | 12 | 2 | no | — |
| 757 | C4×D3 | — | 12 | 2 | no | — |
| 758 | Dic6 | — | 3 | 4 | no | — |
| 759 | Dic6 | — | 3 | 4 | no | — |
| 760 | Dic6 | — | 4 | 2 | no | — |
| 761 | Dic6 | — | 6 | 4 | no | — |
| 762 | Dic6 | — | 12 | 4 | no | — |
| 763 | Dic6 | — | 12 | 4 | no | — |
| 764 | Dic6 | #237 | 1 | 4 | yes | complemented |
| 765 | C2×C32 | — | 4 | 2 | no | — |
| 766 | C2×C32 | C22×#41 | 1 | 1 | yes | characteristic |
| 767 | C2×C32 | C22×#41 | 1 | 1 | yes | characteristic |
| 768 | C2×C32 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 769 | C3⋊D3 | — | 4 | 1 | no | — |
| 770 | C3×D3 | — | 4 | 2 | no | — |
| 771 | C3×D3 | — | 4 | 4 | no | — |
| 772 | #41 | — | 6 | 8 | no | — |
| 773 | #41 | — | 18 | 8 | no | — |
| 774 | #41 | — | 18 | 4 | no | — |
| 775 | #41 | — | 18 | 4 | no | — |
| 776 | #41 | — | 36 | 8 | no | — |
| 777 | #41 | — | 36 | 4 | no | — |
| 778 | C2×Q8 | — | 3 | 1 | no | — |
| 779 | C2×Q8 | — | 3 | 2 | no | — |
| 780 | C2×Q8 | — | 9 | 4 | no | — |
| 781 | C2×Q8 | — | 9 | 1 | no | — |
| 782 | C2×D4 | — | 3 | 4 | no | — |
| 783 | C2×D4 | — | 3 | 4 | no | — |
| 784 | C2×D4 | — | 3 | 4 | no | — |
| 785 | C2×D4 | — | 3 | 1 | no | — |
| 786 | C2×D4 | — | 3 | 2 | no | — |
| 787 | C2×D4 | — | 3 | 2 | no | — |
| 788 | C2×D4 | — | 3 | 2 | no | — |
| 789 | C2×D4 | — | 9 | 2 | no | — |
| 790 | C2×D4 | — | 9 | 4 | no | — |
| 791 | C2×D4 | — | 9 | 4 | no | — |
| 792 | C2×D4 | — | 9 | 2 | no | — |
| 793 | C2×D4 | — | 9 | 4 | no | — |
| 794 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 795 | C22×C4 | — | 3 | 2 | no | — |
| 796 | C22×C4 | — | 3 | 4 | no | — |
| 797 | C22×C4 | — | 9 | 2 | no | — |
| 798 | C22×C4 | — | 9 | 4 | no | — |
| 799 | C22×C4 | — | 9 | 2 | no | — |
| 800 | C22×C4 | — | 9 | 4 | no | — |
| 801 | C22×C4 | — | 9 | 2 | no | — |
| 802 | C22×C4 | — | 9 | 2 | no | — |
| 803 | C22×C4 | — | 9 | 1 | no | — |
| 804 | C22×C4 | — | 9 | 1 | no | — |
| 805 | C22×C4 | — | 9 | 1 | no | — |
| 806 | C22×C4 | C2×D32 | 1 | 2 | yes | — |
| 807 | C4⋊C4 | — | 3 | 1 | no | — |
| 808 | C4⋊C4 | — | 3 | 2 | no | — |
| 809 | C4⋊C4 | — | 3 | 2 | no | — |
| 810 | C4⋊C4 | — | 3 | 2 | no | — |
| 811 | C4⋊C4 | — | 3 | 1 | no | — |
| 812 | C4⋊C4 | — | 9 | 2 | no | — |
| 813 | C4⋊C4 | — | 9 | 4 | no | — |
| 814 | C4⋊C4 | — | 9 | 4 | no | — |
| 815 | C4⋊C4 | — | 9 | 2 | no | — |
| 816 | C4⋊C4 | — | 9 | 2 | no | — |
| 817 | C4⋊C4 | — | 9 | 1 | no | — |
| 818 | C4⋊C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 819 | C22⋊C4 | — | 3 | 4 | no | — |
| 820 | C22⋊C4 | — | 3 | 4 | no | — |
| 821 | C22⋊C4 | — | 3 | 4 | no | — |
| 822 | C22⋊C4 | — | 3 | 2 | no | — |
| 823 | C22⋊C4 | — | 9 | 2 | no | — |
| 824 | C22⋊C4 | — | 9 | 4 | no | — |
| 825 | C22⋊C4 | — | 9 | 2 | no | — |
| 826 | C22⋊C4 | — | 9 | 4 | no | — |
| 827 | C22⋊C4 | — | 9 | 4 | no | — |
| 828 | C22⋊C4 | — | 9 | 2 | no | — |
| 829 | C22⋊C4 | — | 9 | 2 | no | — |
| 830 | C22⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 831 | C42 | — | 3 | 4 | no | — |
| 832 | C42 | — | 3 | 2 | no | — |
| 833 | C42 | — | 9 | 2 | no | — |
| 834 | C42 | — | 9 | 2 | no | — |
| 835 | C42 | — | 9 | 4 | no | — |
| 836 | C42 | — | 9 | 2 | no | — |
| 837 | C42 | — | 9 | 1 | no | — |
| 838 | C42 | — | 9 | 1 | no | — |
| 839 | C42 | — | 9 | 1 | no | — |
| 840 | C42 | — | 9 | 2 | no | — |
| 841 | C42 | — | 9 | 2 | no | — |
| 842 | C42 | C2×D32 | 1 | 1 | yes | characteristic |
| 843 | C22×C3 | — | 2 | 4 | no | — |
| 844 | C22×C3 | — | 2 | 2 | no | — |
| 845 | C22×C3 | — | 2 | 2 | no | — |
| 846 | C22×C3 | — | 2 | 2 | no | — |
| 847 | C22×C3 | — | 2 | 2 | no | — |
| 848 | C22×C3 | — | 2 | 2 | no | — |
| 849 | C22×C3 | — | 2 | 2 | no | — |
| 850 | C22×C3 | — | 2 | 1 | no | — |
| 851 | C22×C3 | — | 4 | 2 | no | — |
| 852 | C22×C3 | — | 4 | 2 | no | — |
| 853 | C22×C3 | — | 6 | 2 | no | — |
| 854 | C22×C3 | — | 6 | 4 | no | — |
| 855 | C22×C3 | — | 6 | 2 | no | — |
| 856 | C22×C3 | — | 6 | 4 | no | — |
| 857 | C22×C3 | — | 6 | 4 | no | — |
| 858 | C22×C3 | — | 6 | 2 | no | — |
| 859 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 860 | C22×C3 | C24×D3 | 1 | 1 | yes | characteristic |
| 861 | C2×D3 | — | 2 | 4 | no | — |
| 862 | C2×D3 | — | 2 | 2 | no | — |
| 863 | C2×D3 | — | 2 | 2 | no | — |
| 864 | C2×D3 | — | 2 | 4 | no | — |
| 865 | C2×D3 | — | 2 | 4 | no | — |
| 866 | C2×D3 | — | 2 | 2 | no | — |
| 867 | C2×D3 | — | 6 | 2 | no | — |
| 868 | C2×D3 | — | 6 | 1 | no | — |
| 869 | C2×D3 | — | 6 | 1 | no | — |
| 870 | C2×D3 | — | 6 | 1 | no | — |
| 871 | C2×D3 | — | 6 | 1 | no | — |
| 872 | C2×D3 | — | 6 | 1 | no | — |
| 873 | C2×D3 | — | 6 | 1 | no | — |
| 874 | C2×D3 | — | 12 | 1 | no | — |
| 875 | C2×D3 | — | 12 | 1 | no | — |
| 876 | C3×C4 | — | 2 | 2 | no | — |
| 877 | C3×C4 | — | 2 | 2 | no | — |
| 878 | C3×C4 | — | 2 | 1 | no | — |
| 879 | C3×C4 | — | 2 | 1 | no | — |
| 880 | C3×C4 | — | 2 | 2 | no | — |
| 881 | C3×C4 | — | 2 | 2 | no | — |
| 882 | C3×C4 | — | 3 | 4 | no | — |
| 883 | C3×C4 | — | 4 | 1 | no | — |
| 884 | C3×C4 | — | 4 | 2 | no | — |
| 885 | C3×C4 | — | 6 | 2 | no | — |
| 886 | C3×C4 | — | 6 | 2 | no | — |
| 887 | C3×C4 | — | 6 | 4 | no | — |
| 888 | C3×C4 | C2×#237 | 1 | 2 | yes | — |
| 889 | C3×C4 | D3×#41 | 1 | 2 | yes | — |
| 890 | C3×C4 | D3×#41 | 1 | 2 | yes | — |
| 891 | C3×C4 | D3×#41 | 1 | 2 | yes | — |
| 892 | Dic3 | — | 2 | 2 | no | — |
| 893 | Dic3 | — | 2 | 4 | no | — |
| 894 | Dic3 | — | 2 | 2 | no | — |
| 895 | Dic3 | — | 3 | 4 | no | — |
| 896 | Dic3 | — | 3 | 4 | no | — |
| 897 | Dic3 | — | 3 | 2 | no | — |
| 898 | Dic3 | — | 3 | 2 | no | — |
| 899 | Dic3 | — | 6 | 4 | no | — |
| 900 | Dic3 | — | 6 | 2 | no | — |
| 901 | Dic3 | — | 6 | 2 | no | — |
| 902 | Dic3 | — | 6 | 1 | no | — |
| 903 | Dic3 | — | 6 | 1 | no | — |
| 904 | Dic3 | — | 6 | 1 | no | — |
| 905 | Dic3 | — | 6 | 1 | no | — |
| 906 | Dic3 | — | 6 | 2 | no | — |
| 907 | Dic3 | — | 6 | 2 | no | — |
| 908 | Dic3 | — | 12 | 1 | no | — |
| 909 | Dic3 | — | 12 | 2 | no | — |
| 910 | Dic3 | C2×#237 | 1 | 4 | yes | — |
| 911 | C32 | #3483 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 912 | C23 | — | 3 | 2 | no | — |
| 913 | C23 | — | 3 | 4 | no | — |
| 914 | C23 | — | 9 | 1 | no | — |
| 915 | C23 | C22×D32 | 1 | 2 | yes | — |
| 916 | Q8 | — | 3 | 4 | no | — |
| 917 | Q8 | — | 9 | 4 | no | — |
| 918 | Q8 | — | 12 | 2 | no | — |
| 919 | Q8 | — | 36 | 4 | no | — |
| 920 | D4 | — | 2 | 2 | no | — |
| 921 | D4 | — | 6 | 8 | no | — |
| 922 | D4 | — | 6 | 4 | no | — |
| 923 | D4 | — | 6 | 4 | no | — |
| 924 | D4 | — | 6 | 2 | no | — |
| 925 | D4 | — | 12 | 2 | no | — |
| 926 | D4 | — | 12 | 4 | no | — |
| 927 | D4 | — | 12 | 4 | no | — |
| 928 | D4 | — | 18 | 4 | no | — |
| 929 | D4 | — | 18 | 4 | no | — |
| 930 | D4 | — | 18 | 8 | no | — |
| 931 | D4 | — | 36 | 4 | no | — |
| 932 | D4 | — | 36 | 4 | no | — |
| 933 | C2×C4 | — | 2 | 4 | no | — |
| 934 | C2×C4 | — | 3 | 2 | no | — |
| 935 | C2×C4 | — | 3 | 2 | no | — |
| 936 | C2×C4 | — | 3 | 2 | no | — |
| 937 | C2×C4 | — | 3 | 4 | no | — |
| 938 | C2×C4 | — | 6 | 8 | no | — |
| 939 | C2×C4 | — | 6 | 4 | no | — |
| 940 | C2×C4 | — | 9 | 1 | no | — |
| 941 | C2×C4 | — | 9 | 2 | no | — |
| 942 | C2×C4 | — | 9 | 1 | no | — |
| 943 | C2×C4 | — | 9 | 1 | no | — |
| 944 | C2×C4 | — | 9 | 2 | no | — |
| 945 | C2×C4 | — | 18 | 2 | no | — |
| 946 | C2×C4 | — | 18 | 4 | no | — |
| 947 | C2×C4 | — | 18 | 8 | no | — |
| 948 | C2×C4 | — | 18 | 4 | no | — |
| 949 | C2×C4 | — | 18 | 8 | no | — |
| 950 | C2×C4 | — | 18 | 4 | no | — |
| 951 | C2×C4 | — | 18 | 4 | no | — |
| 952 | C2×C4 | — | 18 | 2 | no | — |
| 953 | C2×C4 | — | 18 | 2 | no | — |
| 954 | C2×C4 | C22×D32 | 1 | 2 | yes | — |
| 955 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 956 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 957 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 958 | C2×C3 | — | 2 | 1 | no | — |
| 959 | C2×C3 | — | 2 | 1 | no | — |
| 960 | C2×C3 | — | 2 | 1 | no | — |
| 961 | C2×C3 | — | 4 | 4 | no | — |
| 962 | C2×C3 | — | 4 | 2 | no | — |
| 963 | C2×C3 | — | 4 | 2 | no | — |
| 964 | C2×C3 | — | 12 | 4 | no | — |
| 965 | C2×C3 | — | 12 | 2 | no | — |
| 966 | C2×C3 | C22×#237 | 1 | 1 | yes | characteristic |
| 967 | C2×C3 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 968 | C2×C3 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 969 | C2×C3 | C2×D3×#41 | 1 | 1 | yes | characteristic |
| 970 | C2×C3 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 971 | C2×C3 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 972 | D3 | — | 4 | 2 | no | — |
| 973 | D3 | — | 4 | 4 | no | — |
| 974 | D3 | — | 12 | 2 | no | — |
| 975 | D3 | — | 12 | 1 | no | — |
| 976 | D3 | — | 12 | 1 | no | — |
| 977 | C22 | — | 2 | 2 | no | — |
| 978 | C22 | — | 2 | 2 | no | — |
| 979 | C22 | — | 2 | 2 | no | — |
| 980 | C22 | — | 6 | 2 | no | — |
| 981 | C22 | — | 6 | 4 | no | — |
| 982 | C22 | — | 6 | 4 | no | — |
| 983 | C22 | — | 6 | 2 | no | — |
| 984 | C22 | — | 6 | 4 | no | — |
| 985 | C22 | — | 6 | 2 | no | — |
| 986 | C22 | — | 18 | 1 | no | — |
| 987 | C22 | — | 18 | 1 | no | — |
| 988 | C22 | — | 18 | 1 | no | — |
| 989 | C22 | C23×D32 | 1 | 1 | yes | characteristic |
| 990 | C4 | — | 2 | 2 | no | — |
| 991 | C4 | — | 2 | 1 | no | — |
| 992 | C4 | — | 3 | 4 | no | — |
| 993 | C4 | — | 6 | 2 | no | — |
| 994 | C4 | — | 6 | 2 | no | — |
| 995 | C4 | — | 6 | 4 | no | — |
| 996 | C4 | — | 9 | 4 | no | — |
| 997 | C4 | — | 9 | 2 | no | — |
| 998 | C4 | — | 18 | 1 | no | — |
| 999 | C4 | — | 18 | 1 | no | — |
| 1000 | C4 | — | 18 | 2 | no | — |
| 1001 | C4 | #64306 | 1 | 2 | yes | — |
| 1002 | C4 | D3×#237 | 1 | 2 | yes | — |
| 1003 | C3 | — | 2 | 1 | no | — |
| 1004 | C3 | #86768 | 1 | 1 | yes | characteristic, complemented |
| 1005 | C3 | #86959 | 1 | 1 | yes | characteristic, complemented |
| 1006 | C2 | — | 4 | 2 | no | — |
| 1007 | C2 | — | 12 | 2 | no | — |
| 1008 | C2 | — | 12 | 4 | no | — |
| 1009 | C2 | — | 36 | 1 | no | — |
| 1010 | C2 | C2×#64306 | 1 | 1 | yes | characteristic |
| 1011 | C2 | C2×D3×#237 | 1 | 1 | yes | characteristic |
| 1012 | C2 | #10596692 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C23×D32 |
| commutator, socle, cosocle | C22×C32 | C25 |
| Fitting | C32×C4×D4 | C22 |
| hypercenter | C4×D4 | D32 |
| hypocenter | C32 | #3483 |
| LCS | G ▷ C22×C32 ▷ C32 | |
| UCS | C1 ◁ C22 ◁ C4×D4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C4×#3830 | C2 | semidirect |
| 2. C3×#5563 | C2 | semidirect |
| 3. C3×#5553 | C2 | semidirect |
| 4. #10595164 | C2 | semidirect |
| 5. #10595133 | C2 | semidirect |
| 6. #10595006 | C2 | semidirect |
| 7. #10594961 | C2 | semidirect |
| 8. #10594958 | C2 | semidirect |
| 9. #10594929 | C2 | semidirect |
| 10. #10594555 | C2 | semidirect |
| 11. #10594358 | C2 | semidirect |
| 12. #10594136 | C2 | semidirect |
| 13. #10594061 | C2 | semidirect |
| 14. #10593907 | C2 | semidirect |
| 15. #10593906 | C2 | semidirect |
| 16. C4×#3796 | C2 | semidirect |
| 17. #10593856 | C2 | semidirect |
| 108. #5563 | D3 | semidirect |
| 110. #5553 | D3 | semidirect |
| 354. #634 | #41 | semidirect |
| 369. C3×Dic6 | #41 | semidirect |
| 764. Dic6 | #237 | semidirect |
| 911. C32 | #3483 | semidirect |
| 1004. C3 | #86768 | semidirect |
| 1005. C3 | #86959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#3830 | 2 |
| C3×#5563 | 2 |
| C3×#5553 | 2 |
| #10595164 | 2 |
| #10595133 | 2 |
| #10595006 | 2 |
| #10594961 | 2 |
| #10594958 | 2 |
| #10594929 | 2 |
| #10594555 | 2 |
| #10594358 | 2 |
| #10594136 | 2 |
| #10594061 | 2 |
| #10593907 | 2 |
| #10593906 | 2 |
| C4×#3796 | 2 |
| #10593856 | 2 |
| #86959 | 3 |
| #86768 | 3 |