Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1226 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 1226 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596502 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10593842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10593484 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10593483 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10593470 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10593469 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10593324 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×#63728 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#1010 | — | 2 | 1 | no | — |
| 14 | D32×Q8 | — | 2 | 1 | no | — |
| 15 | #64316 | C22 | 1 | 2 | yes | — |
| 16 | #64312 | — | 2 | 1 | no | — |
| 17 | #64312 | — | 2 | 2 | no | — |
| 18 | #64309 | — | 2 | 2 | no | — |
| 19 | #64309 | C22 | 1 | 2 | yes | — |
| 20 | #64306 | — | 2 | 1 | no | — |
| 21 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#3797 | — | 2 | 1 | no | — |
| 24 | C2×#3797 | C22 | 1 | 1 | yes | characteristic |
| 25 | #64297 | — | 2 | 1 | no | — |
| 26 | #64297 | — | 2 | 2 | no | — |
| 27 | #64286 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#3788 | C22 | 1 | 1 | yes | characteristic |
| 29 | #64237 | — | 2 | 2 | no | — |
| 30 | #64233 | — | 2 | 2 | no | — |
| 31 | #64226 | — | 2 | 1 | no | — |
| 32 | #64226 | C22 | 1 | 2 | yes | complemented |
| 33 | #64224 | — | 2 | 1 | no | — |
| 34 | #64224 | C22 | 1 | 2 | yes | complemented |
| 35 | #64222 | C22 | 1 | 2 | yes | complemented |
| 36 | #64221 | C22 | 1 | 2 | yes | complemented |
| 37 | D32⋊Q8 | — | 2 | 2 | no | — |
| 38 | C3×#950 | — | 2 | 1 | no | — |
| 39 | #63951 | — | 2 | 1 | no | — |
| 40 | #63945 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #63941 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #63937 | — | 2 | 1 | no | — |
| 43 | #63931 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #63927 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #63829 | — | 2 | 1 | no | — |
| 46 | C2×#3712 | C22 | 1 | 1 | yes | characteristic |
| 47 | #63785 | C22 | 1 | 2 | yes | complemented |
| 48 | #63783 | C22 | 1 | 2 | yes | complemented |
| 49 | #63731 | C22 | 1 | 2 | yes | complemented |
| 50 | #63731 | C22 | 1 | 2 | yes | complemented |
| 51 | #63728 | C22 | 1 | 2 | yes | complemented |
| 52 | #63728 | C22 | 1 | 2 | yes | complemented |
| 53 | D3×2−1+4 | — | 6 | 1 | no | — |
| 54 | #5768 | — | 6 | 1 | no | — |
| 55 | C32×#41 | D4 | 1 | 1 | yes | characteristic |
| 56 | #3832 | C23 | 1 | 1 | yes | characteristic |
| 57 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 58 | #3830 | — | 2 | 1 | no | — |
| 59 | #3830 | C23 | 1 | 1 | yes | characteristic |
| 60 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 61 | D4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 62 | #3828 | — | 2 | 1 | no | — |
| 63 | #3828 | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 65 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 66 | C3×D3×Q8 | — | 2 | 2 | no | — |
| 67 | C3×#237 | — | 2 | 4 | no | — |
| 68 | C3×#237 | — | 2 | 2 | no | — |
| 69 | C3×#235 | — | 2 | 2 | no | — |
| 70 | C3×#235 | — | 2 | 1 | no | — |
| 71 | C3×#235 | — | 2 | 1 | no | — |
| 72 | C2×C3×Dic6 | — | 2 | 2 | no | — |
| 73 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 74 | #3811 | — | 2 | 2 | no | — |
| 75 | #3811 | — | 2 | 1 | no | — |
| 76 | #3811 | — | 2 | 1 | no | — |
| 77 | C2×#627 | — | 2 | 1 | no | — |
| 78 | C2×#627 | — | 2 | 2 | no | — |
| 79 | C2×#624 | — | 2 | 2 | no | — |
| 80 | C2×#624 | D4 | 1 | 2 | yes | — |
| 81 | #3805 | — | 2 | 2 | no | — |
| 82 | #3805 | — | 2 | 1 | no | — |
| 83 | #3805 | D4 | 1 | 2 | yes | — |
| 84 | #3804 | — | 2 | 4 | no | — |
| 85 | #3804 | — | 2 | 4 | no | — |
| 86 | #3804 | — | 2 | 4 | no | — |
| 87 | #3802 | D4 | 1 | 1 | yes | characteristic |
| 88 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 89 | C4×D32 | — | 2 | 2 | no | — |
| 90 | C4×D32 | — | 2 | 1 | no | — |
| 91 | C4×D32 | — | 2 | 1 | no | — |
| 92 | #3799 | — | 2 | 2 | no | — |
| 93 | #3799 | — | 2 | 4 | no | — |
| 94 | #3798 | — | 2 | 1 | no | — |
| 95 | #3798 | — | 2 | 2 | no | — |
| 96 | #3798 | C23 | 1 | 2 | yes | — |
| 97 | #3797 | — | 2 | 2 | no | — |
| 98 | #3797 | — | 2 | 2 | no | — |
| 99 | #3797 | — | 2 | 1 | no | — |
| 100 | #3797 | — | 2 | 1 | no | — |
| 101 | #3797 | — | 2 | 2 | no | — |
| 102 | #3797 | D4 | 1 | 1 | yes | characteristic |
| 103 | #3797 | D4 | 1 | 2 | yes | — |
| 104 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 105 | #3797 | C23 | 1 | 2 | yes | — |
| 106 | #3796 | — | 2 | 2 | no | — |
| 107 | #3796 | — | 2 | 1 | no | — |
| 108 | #3796 | — | 2 | 1 | no | — |
| 109 | D3×Dic6 | — | 2 | 4 | no | — |
| 110 | D3×Dic6 | — | 2 | 2 | no | — |
| 111 | C22⋊#157 | — | 2 | 1 | no | — |
| 112 | C2×#622 | — | 2 | 1 | no | — |
| 113 | C4⋊#157 | — | 2 | 1 | no | — |
| 114 | C4×#157 | C23 | 1 | 2 | yes | — |
| 115 | #3788 | — | 2 | 1 | no | — |
| 116 | #3788 | C23 | 1 | 2 | yes | — |
| 117 | #3776 | — | 2 | 2 | no | — |
| 118 | #3775 | — | 2 | 2 | no | — |
| 119 | #3775 | — | 2 | 2 | no | — |
| 120 | #3774 | — | 2 | 2 | no | — |
| 121 | #3773 | — | 2 | 4 | no | — |
| 122 | D32⋊C4 | — | 2 | 4 | no | — |
| 123 | C3×#216 | — | 2 | 1 | no | — |
| 124 | C3×#215 | — | 2 | 1 | no | — |
| 125 | C3×#214 | — | 2 | 1 | no | — |
| 126 | C3×#213 | — | 2 | 1 | no | — |
| 127 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 128 | #3719 | — | 2 | 1 | no | — |
| 129 | #3717 | — | 2 | 1 | no | — |
| 130 | #3716 | — | 2 | 1 | no | — |
| 131 | #3714 | — | 2 | 1 | no | — |
| 132 | #3712 | — | 2 | 1 | no | — |
| 133 | #3712 | C23 | 1 | 1 | yes | characteristic |
| 134 | #3712 | C23 | 1 | 1 | yes | characteristic |
| 135 | #3020 | — | 9 | 1 | no | maximal, Sylow |
| 136 | C3×2−1+4 | — | 6 | 1 | no | — |
| 137 | #1010 | — | 2 | 1 | no | — |
| 138 | #1010 | — | 6 | 2 | no | — |
| 139 | #1010 | — | 6 | 2 | no | — |
| 140 | #1010 | — | 6 | 1 | no | — |
| 141 | #1010 | — | 6 | 4 | no | — |
| 142 | D3×#41 | — | 6 | 1 | no | — |
| 143 | D3×#41 | — | 6 | 1 | no | — |
| 144 | D3×#41 | — | 6 | 1 | no | — |
| 145 | D3×#41 | — | 6 | 1 | no | — |
| 146 | D3×#41 | — | 6 | 2 | no | — |
| 147 | D3×#41 | — | 6 | 4 | no | — |
| 148 | D3×#41 | — | 6 | 2 | no | — |
| 149 | #1007 | — | 6 | 2 | no | — |
| 150 | #1007 | — | 6 | 2 | no | — |
| 151 | #1007 | — | 6 | 1 | no | — |
| 152 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 153 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 154 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 155 | C3×#135 | — | 6 | 1 | no | — |
| 156 | #950 | — | 2 | 1 | no | — |
| 157 | #950 | — | 6 | 1 | no | — |
| 158 | #918 | — | 6 | 1 | no | — |
| 159 | #918 | — | 6 | 1 | no | — |
| 160 | #915 | — | 6 | 1 | no | — |
| 161 | #915 | — | 6 | 1 | no | — |
| 162 | #914 | — | 6 | 1 | no | — |
| 163 | #914 | — | 6 | 1 | no | — |
| 164 | #911 | — | 6 | 1 | no | — |
| 165 | #911 | — | 6 | 1 | no | — |
| 166 | #904 | — | 6 | 1 | no | — |
| 167 | C2×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 168 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 169 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×D32 | — | 2 | 1 | no | — |
| 171 | C2×D32 | — | 2 | 1 | no | — |
| 172 | C2×#157 | — | 2 | 2 | no | — |
| 173 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C32×D4 | — | 2 | 1 | no | — |
| 175 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×C32×C4 | — | 2 | 1 | no | — |
| 177 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | #638 | — | 2 | 1 | no | — |
| 179 | #638 | — | 2 | 1 | no | — |
| 180 | #638 | — | 2 | 1 | no | — |
| 181 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 182 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 184 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 186 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 187 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 188 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 192 | #634 | — | 2 | 1 | no | — |
| 193 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C3×#67 | — | 2 | 4 | no | — |
| 195 | C3×#67 | — | 2 | 2 | no | — |
| 196 | C3×#67 | — | 4 | 1 | no | — |
| 197 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 198 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 199 | C3×D12 | — | 2 | 1 | no | — |
| 200 | C3×D12 | — | 2 | 1 | no | — |
| 201 | C3×C4×D3 | — | 2 | 4 | no | — |
| 202 | C3×C4×D3 | — | 2 | 2 | no | — |
| 203 | C3×C4×D3 | — | 4 | 1 | no | — |
| 204 | C3×Dic6 | — | 2 | 4 | no | — |
| 205 | C3×Dic6 | — | 2 | 1 | no | — |
| 206 | C3×Dic6 | — | 2 | 2 | no | — |
| 207 | C3×Dic6 | — | 2 | 2 | no | — |
| 208 | C3×Dic6 | — | 2 | 1 | no | — |
| 209 | #627 | — | 2 | 4 | no | — |
| 210 | #627 | — | 2 | 2 | no | — |
| 211 | #627 | — | 2 | 2 | no | — |
| 212 | #627 | — | 2 | 1 | no | — |
| 213 | #627 | C2×D4 | 1 | 2 | yes | — |
| 214 | #626 | — | 2 | 4 | no | — |
| 215 | #626 | — | 2 | 2 | no | — |
| 216 | #626 | — | 4 | 1 | no | — |
| 217 | #625 | — | 2 | 1 | no | — |
| 218 | #625 | C2×D4 | 1 | 2 | yes | — |
| 219 | #624 | — | 2 | 4 | no | — |
| 220 | #624 | — | 2 | 2 | no | — |
| 221 | #624 | — | 2 | 1 | no | — |
| 222 | #624 | — | 2 | 1 | no | — |
| 223 | #624 | C2×D4 | 1 | 4 | yes | — |
| 224 | D3×Dic3 | — | 2 | 4 | no | — |
| 225 | D3×Dic3 | — | 2 | 2 | no | — |
| 226 | D3×Dic3 | — | 4 | 1 | no | — |
| 227 | #622 | — | 2 | 2 | no | — |
| 228 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 229 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 230 | C2×2−1+4 | — | 9 | 1 | no | — |
| 231 | #575 | — | 9 | 1 | no | — |
| 232 | #575 | — | 9 | 1 | no | — |
| 233 | #536 | — | 9 | 1 | no | — |
| 234 | #456 | — | 9 | 2 | no | — |
| 235 | #456 | — | 9 | 2 | no | — |
| 236 | #454 | — | 9 | 2 | no | — |
| 237 | #454 | — | 9 | 2 | no | — |
| 238 | #421 | — | 9 | 1 | no | — |
| 239 | #421 | — | 9 | 1 | no | — |
| 240 | C2×#101 | — | 9 | 1 | no | — |
| 241 | C3×#41 | — | 2 | 1 | no | — |
| 242 | C3×#41 | — | 2 | 1 | no | — |
| 243 | C3×#41 | — | 6 | 2 | no | — |
| 244 | C3×#41 | — | 6 | 1 | no | — |
| 245 | C3×#41 | — | 6 | 1 | no | — |
| 246 | C3×#41 | — | 6 | 4 | no | — |
| 247 | C3×#41 | — | 6 | 2 | no | — |
| 248 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 249 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 250 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 251 | #239 | — | 6 | 1 | no | — |
| 252 | #239 | — | 6 | 1 | no | — |
| 253 | #239 | — | 6 | 4 | no | — |
| 254 | #239 | — | 6 | 2 | no | — |
| 255 | #239 | — | 6 | 1 | no | — |
| 256 | #239 | — | 6 | 2 | no | — |
| 257 | #239 | — | 6 | 1 | no | — |
| 258 | D3×Q8 | — | 2 | 2 | no | — |
| 259 | D3×Q8 | — | 6 | 1 | no | — |
| 260 | D3×Q8 | — | 6 | 2 | no | — |
| 261 | D3×Q8 | — | 6 | 2 | no | — |
| 262 | D3×Q8 | — | 6 | 1 | no | — |
| 263 | D3×Q8 | — | 6 | 1 | no | — |
| 264 | D3×Q8 | — | 6 | 1 | no | — |
| 265 | D3×Q8 | — | 6 | 2 | no | — |
| 266 | D3×Q8 | — | 6 | 2 | no | — |
| 267 | D3×Q8 | — | 6 | 4 | no | — |
| 268 | D3×Q8 | — | 6 | 4 | no | — |
| 269 | D3×Q8 | — | 6 | 2 | no | — |
| 270 | D3×Q8 | — | 6 | 2 | no | — |
| 271 | D3×Q8 | — | 6 | 2 | no | — |
| 272 | D3×Q8 | — | 6 | 4 | no | — |
| 273 | #237 | — | 2 | 4 | no | — |
| 274 | #237 | — | 2 | 2 | no | — |
| 275 | #237 | — | 6 | 2 | no | — |
| 276 | #237 | — | 6 | 1 | no | — |
| 277 | #237 | — | 6 | 1 | no | — |
| 278 | #237 | — | 6 | 1 | no | — |
| 279 | #237 | — | 6 | 2 | no | — |
| 280 | #237 | — | 6 | 1 | no | — |
| 281 | #237 | — | 6 | 4 | no | — |
| 282 | #237 | — | 6 | 4 | no | — |
| 283 | #237 | — | 6 | 4 | no | — |
| 284 | #237 | — | 6 | 4 | no | — |
| 285 | #237 | — | 6 | 2 | no | — |
| 286 | #237 | — | 12 | 1 | no | — |
| 287 | #237 | — | 12 | 1 | no | — |
| 288 | D3×D4 | — | 6 | 1 | no | — |
| 289 | D3×D4 | — | 6 | 1 | no | — |
| 290 | D3×D4 | — | 6 | 1 | no | — |
| 291 | D3×D4 | — | 6 | 1 | no | — |
| 292 | D3×D4 | — | 6 | 2 | no | — |
| 293 | D3×D4 | — | 6 | 4 | no | — |
| 294 | D3×D4 | — | 6 | 2 | no | — |
| 295 | D3×D4 | — | 12 | 1 | no | — |
| 296 | D3×D4 | — | 12 | 1 | no | — |
| 297 | #235 | — | 2 | 2 | no | — |
| 298 | #235 | — | 2 | 1 | no | — |
| 299 | #235 | — | 2 | 1 | no | — |
| 300 | #235 | — | 6 | 2 | no | — |
| 301 | #235 | — | 6 | 1 | no | — |
| 302 | #235 | — | 6 | 1 | no | — |
| 303 | #235 | — | 6 | 4 | no | — |
| 304 | #235 | — | 6 | 2 | no | — |
| 305 | #235 | — | 6 | 4 | no | — |
| 306 | #235 | — | 6 | 4 | no | — |
| 307 | #235 | — | 6 | 4 | no | — |
| 308 | #235 | — | 6 | 4 | no | — |
| 309 | #235 | — | 6 | 2 | no | — |
| 310 | #235 | — | 12 | 1 | no | — |
| 311 | #235 | — | 12 | 1 | no | — |
| 312 | C2×C4×D3 | — | 6 | 2 | no | — |
| 313 | C2×C4×D3 | — | 6 | 1 | no | — |
| 314 | C2×C4×D3 | — | 6 | 1 | no | — |
| 315 | C2×C4×D3 | — | 6 | 2 | no | — |
| 316 | C2×C4×D3 | — | 6 | 4 | no | — |
| 317 | C2×C4×D3 | — | 6 | 4 | no | — |
| 318 | C2×C4×D3 | — | 6 | 2 | no | — |
| 319 | C2×C4×D3 | — | 12 | 1 | no | — |
| 320 | C2×C4×D3 | — | 12 | 1 | no | — |
| 321 | C2×Dic6 | — | 2 | 2 | no | — |
| 322 | C2×Dic6 | — | 2 | 1 | no | — |
| 323 | C2×Dic6 | — | 6 | 2 | no | — |
| 324 | C2×Dic6 | — | 6 | 4 | no | — |
| 325 | C2×Dic6 | — | 6 | 2 | no | — |
| 326 | C2×Dic6 | — | 6 | 4 | no | — |
| 327 | C3×Q16 | — | 6 | 1 | no | — |
| 328 | C3×SD16 | — | 6 | 1 | no | — |
| 329 | C3×SD16 | — | 6 | 1 | no | — |
| 330 | C3×D8 | — | 6 | 1 | no | — |
| 331 | C2×C3×C8 | — | 6 | 1 | no | — |
| 332 | #216 | — | 2 | 1 | no | — |
| 333 | #216 | — | 6 | 1 | no | — |
| 334 | #215 | — | 2 | 1 | no | — |
| 335 | #215 | — | 6 | 1 | no | — |
| 336 | #214 | — | 2 | 1 | no | — |
| 337 | #214 | — | 6 | 1 | no | — |
| 338 | #213 | — | 2 | 1 | no | — |
| 339 | #213 | — | 6 | 1 | no | — |
| 340 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 341 | Dic12 | — | 6 | 1 | no | — |
| 342 | D24 | — | 6 | 1 | no | — |
| 343 | #204 | — | 6 | 1 | no | — |
| 344 | #204 | — | 6 | 1 | no | — |
| 345 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 346 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 347 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 348 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 349 | C22×C32 | — | 2 | 1 | no | — |
| 350 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 351 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 352 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 353 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 354 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 355 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 356 | C2×C3×D3 | — | 2 | 2 | no | — |
| 357 | C2×C3×D3 | — | 4 | 1 | no | — |
| 358 | D32 | — | 4 | 2 | no | — |
| 359 | D32 | — | 4 | 2 | no | — |
| 360 | #157 | — | 4 | 2 | no | — |
| 361 | C32×C4 | — | 2 | 1 | no | — |
| 362 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 363 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 364 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 365 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 366 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 367 | C3×Dic3 | — | 2 | 2 | no | — |
| 368 | C3×Dic3 | — | 2 | 4 | no | — |
| 369 | C3×Dic3 | — | 4 | 1 | no | — |
| 370 | 2−1+4 | — | 6 | 1 | no | — |
| 371 | 2−1+4 | — | 9 | 2 | no | — |
| 372 | 2−1+4 | — | 9 | 2 | no | — |
| 373 | 2−1+4 | — | 18 | 2 | no | — |
| 374 | 2−1+4 | — | 18 | 1 | no | — |
| 375 | 2−1+4 | — | 18 | 2 | no | — |
| 376 | C2×#41 | — | 9 | 1 | no | — |
| 377 | C2×#41 | — | 9 | 1 | no | — |
| 378 | C2×#41 | — | 9 | 1 | no | — |
| 379 | C2×#41 | — | 18 | 2 | no | — |
| 380 | C2×#41 | — | 18 | 1 | no | — |
| 381 | C2×#41 | — | 18 | 1 | no | — |
| 382 | C22×Q8 | — | 9 | 1 | no | — |
| 383 | C22×Q8 | — | 18 | 1 | no | — |
| 384 | C22×Q8 | — | 18 | 1 | no | — |
| 385 | #137 | — | 9 | 1 | no | — |
| 386 | #137 | — | 9 | 1 | no | — |
| 387 | #137 | — | 9 | 2 | no | — |
| 388 | #137 | — | 18 | 1 | no | — |
| 389 | #137 | — | 18 | 1 | no | — |
| 390 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 391 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 392 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 393 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 394 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 395 | #135 | — | 6 | 1 | no | — |
| 396 | #135 | — | 18 | 1 | no | — |
| 397 | #135 | — | 18 | 2 | no | — |
| 398 | C2×M16 | — | 9 | 1 | no | — |
| 399 | C2×M16 | — | 9 | 1 | no | — |
| 400 | C4⋊Q8 | — | 9 | 2 | no | — |
| 401 | #124 | — | 9 | 2 | no | — |
| 402 | #123 | — | 18 | 2 | no | — |
| 403 | C22⋊Q8 | — | 18 | 2 | no | — |
| 404 | #117 | — | 9 | 1 | no | — |
| 405 | #104 | — | 9 | 2 | no | — |
| 406 | #104 | — | 9 | 2 | no | — |
| 407 | #104 | — | 9 | 2 | no | — |
| 408 | #104 | — | 9 | 2 | no | — |
| 409 | #101 | — | 9 | 2 | no | — |
| 410 | #101 | — | 9 | 2 | no | — |
| 411 | C22×D3 | — | 6 | 1 | no | — |
| 412 | C22×D3 | — | 6 | 1 | no | — |
| 413 | C22×D3 | — | 6 | 2 | no | — |
| 414 | C22×D3 | — | 6 | 2 | no | — |
| 415 | C22×D3 | — | 12 | 1 | no | — |
| 416 | C22×D3 | — | 12 | 1 | no | — |
| 417 | C3×Q8 | — | 2 | 1 | no | — |
| 418 | C3×Q8 | — | 2 | 1 | no | — |
| 419 | C3×Q8 | — | 6 | 4 | no | — |
| 420 | C3×Q8 | — | 6 | 2 | no | — |
| 421 | C3×Q8 | — | 6 | 1 | no | — |
| 422 | C3×Q8 | — | 6 | 2 | no | — |
| 423 | C3×Q8 | — | 6 | 1 | no | — |
| 424 | C3×D4 | — | 2 | 2 | no | — |
| 425 | C3×D4 | — | 2 | 1 | no | — |
| 426 | C3×D4 | — | 2 | 1 | no | — |
| 427 | C3×D4 | — | 4 | 1 | no | — |
| 428 | C3×D4 | — | 6 | 1 | no | — |
| 429 | C3×D4 | — | 6 | 1 | no | — |
| 430 | C3×D4 | — | 6 | 4 | no | — |
| 431 | C3×D4 | — | 6 | 2 | no | — |
| 432 | C3×D4 | — | 12 | 1 | no | — |
| 433 | C2×C3×C4 | — | 2 | 2 | no | — |
| 434 | C2×C3×C4 | — | 2 | 1 | no | — |
| 435 | C2×C3×C4 | — | 2 | 1 | no | — |
| 436 | C2×C3×C4 | — | 4 | 1 | no | — |
| 437 | C2×C3×C4 | — | 6 | 4 | no | — |
| 438 | C2×C3×C4 | — | 6 | 2 | no | — |
| 439 | C2×C3×C4 | — | 6 | 4 | no | — |
| 440 | C2×C3×C4 | — | 6 | 2 | no | — |
| 441 | C2×C3×C4 | — | 12 | 1 | no | — |
| 442 | #67 | — | 2 | 4 | no | — |
| 443 | #67 | — | 2 | 2 | no | — |
| 444 | #67 | — | 4 | 1 | no | — |
| 445 | #67 | — | 6 | 2 | no | — |
| 446 | #67 | — | 6 | 2 | no | — |
| 447 | #67 | — | 6 | 4 | no | — |
| 448 | #67 | — | 6 | 2 | no | — |
| 449 | #67 | — | 6 | 2 | no | — |
| 450 | #67 | — | 6 | 2 | no | — |
| 451 | #67 | — | 12 | 1 | no | — |
| 452 | #67 | — | 12 | 1 | no | — |
| 453 | #67 | — | 12 | 1 | no | — |
| 454 | #67 | — | 12 | 1 | no | — |
| 455 | #67 | — | 12 | 1 | no | — |
| 456 | C2×Dic3 | — | 2 | 4 | no | — |
| 457 | C2×Dic3 | — | 2 | 2 | no | — |
| 458 | C2×Dic3 | — | 6 | 1 | no | — |
| 459 | C2×Dic3 | — | 6 | 1 | no | — |
| 460 | C2×Dic3 | — | 6 | 2 | no | — |
| 461 | C2×Dic3 | — | 6 | 4 | no | — |
| 462 | C2×Dic3 | — | 6 | 2 | no | — |
| 463 | C2×Dic3 | — | 12 | 1 | no | — |
| 464 | C2×Dic3 | — | 12 | 1 | no | — |
| 465 | D12 | — | 2 | 1 | no | — |
| 466 | D12 | — | 2 | 1 | no | — |
| 467 | D12 | — | 6 | 1 | no | — |
| 468 | D12 | — | 6 | 1 | no | — |
| 469 | D12 | — | 6 | 2 | no | — |
| 470 | D12 | — | 6 | 2 | no | — |
| 471 | D12 | — | 6 | 4 | no | — |
| 472 | D12 | — | 12 | 1 | no | — |
| 473 | D12 | — | 12 | 1 | no | — |
| 474 | C4×D3 | — | 2 | 4 | no | — |
| 475 | C4×D3 | — | 2 | 2 | no | — |
| 476 | C4×D3 | — | 4 | 1 | no | — |
| 477 | C4×D3 | — | 6 | 4 | no | — |
| 478 | C4×D3 | — | 6 | 1 | no | — |
| 479 | C4×D3 | — | 6 | 1 | no | — |
| 480 | C4×D3 | — | 6 | 1 | no | — |
| 481 | C4×D3 | — | 6 | 1 | no | — |
| 482 | C4×D3 | — | 6 | 1 | no | — |
| 483 | C4×D3 | — | 6 | 1 | no | — |
| 484 | C4×D3 | — | 6 | 1 | no | — |
| 485 | C4×D3 | — | 6 | 1 | no | — |
| 486 | C4×D3 | — | 6 | 4 | no | — |
| 487 | C4×D3 | — | 6 | 2 | no | — |
| 488 | C4×D3 | — | 6 | 4 | no | — |
| 489 | C4×D3 | — | 6 | 4 | no | — |
| 490 | C4×D3 | — | 6 | 2 | no | — |
| 491 | C4×D3 | — | 6 | 2 | no | — |
| 492 | C4×D3 | — | 6 | 2 | no | — |
| 493 | C4×D3 | — | 6 | 2 | no | — |
| 494 | C4×D3 | — | 6 | 4 | no | — |
| 495 | C4×D3 | — | 12 | 1 | no | — |
| 496 | C4×D3 | — | 12 | 1 | no | — |
| 497 | C4×D3 | — | 12 | 1 | no | — |
| 498 | C4×D3 | — | 12 | 1 | no | — |
| 499 | C4×D3 | — | 12 | 1 | no | — |
| 500 | Dic6 | — | 2 | 1 | no | — |
| 501 | Dic6 | — | 2 | 2 | no | — |
| 502 | Dic6 | — | 2 | 4 | no | — |
| 503 | Dic6 | — | 2 | 2 | no | — |
| 504 | Dic6 | — | 2 | 1 | no | — |
| 505 | Dic6 | — | 6 | 2 | no | — |
| 506 | Dic6 | — | 6 | 1 | no | — |
| 507 | Dic6 | — | 6 | 1 | no | — |
| 508 | Dic6 | — | 6 | 4 | no | — |
| 509 | Dic6 | — | 6 | 4 | no | — |
| 510 | Dic6 | — | 6 | 4 | no | — |
| 511 | Dic6 | — | 6 | 4 | no | — |
| 512 | Dic6 | — | 6 | 2 | no | — |
| 513 | Dic6 | — | 12 | 1 | no | — |
| 514 | Dic6 | — | 12 | 1 | no | — |
| 515 | C3×C8 | — | 6 | 1 | no | — |
| 516 | C3×C8 | — | 6 | 1 | no | — |
| 517 | C3⋊C8 | — | 2 | 1 | no | — |
| 518 | C3⋊C8 | — | 2 | 1 | no | — |
| 519 | C2×C32 | — | 2 | 1 | no | — |
| 520 | C2×C32 | — | 4 | 1 | no | — |
| 521 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 522 | C3⋊D3 | — | 2 | 1 | no | — |
| 523 | C3⋊D3 | — | 2 | 1 | no | — |
| 524 | C3⋊D3 | — | 4 | 1 | no | — |
| 525 | C3×D3 | — | 4 | 2 | no | — |
| 526 | C3×D3 | — | 8 | 1 | no | — |
| 527 | #41 | — | 6 | 2 | no | — |
| 528 | #41 | — | 6 | 4 | no | — |
| 529 | #41 | — | 6 | 2 | no | — |
| 530 | #41 | — | 6 | 1 | no | — |
| 531 | #41 | — | 6 | 1 | no | — |
| 532 | #41 | — | 9 | 2 | no | — |
| 533 | #41 | — | 9 | 2 | no | — |
| 534 | #41 | — | 9 | 1 | no | — |
| 535 | #41 | — | 9 | 1 | no | — |
| 536 | #41 | — | 9 | 1 | no | — |
| 537 | #41 | — | 18 | 1 | no | — |
| 538 | #41 | — | 18 | 2 | no | — |
| 539 | #41 | — | 18 | 4 | no | — |
| 540 | #41 | — | 18 | 4 | no | — |
| 541 | #41 | — | 18 | 4 | no | — |
| 542 | #41 | — | 18 | 4 | no | — |
| 543 | #41 | — | 18 | 2 | no | — |
| 544 | #41 | — | 18 | 1 | no | — |
| 545 | #41 | — | 18 | 1 | no | — |
| 546 | #41 | — | 18 | 1 | no | — |
| 547 | #41 | — | 18 | 1 | no | — |
| 548 | #41 | — | 18 | 1 | no | — |
| 549 | #41 | — | 18 | 2 | no | — |
| 550 | #41 | — | 18 | 2 | no | — |
| 551 | #41 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 552 | C2×Q8 | — | 6 | 2 | no | — |
| 553 | C2×Q8 | — | 6 | 2 | no | — |
| 554 | C2×Q8 | — | 6 | 1 | no | — |
| 555 | C2×Q8 | — | 9 | 2 | no | — |
| 556 | C2×Q8 | — | 9 | 2 | no | — |
| 557 | C2×Q8 | — | 9 | 1 | no | — |
| 558 | C2×Q8 | — | 9 | 1 | no | — |
| 559 | C2×Q8 | — | 9 | 1 | no | — |
| 560 | C2×Q8 | — | 18 | 1 | no | — |
| 561 | C2×Q8 | — | 18 | 2 | no | — |
| 562 | C2×Q8 | — | 18 | 2 | no | — |
| 563 | C2×Q8 | — | 18 | 4 | no | — |
| 564 | C2×Q8 | — | 18 | 1 | no | — |
| 565 | C2×Q8 | — | 18 | 1 | no | — |
| 566 | C2×Q8 | — | 18 | 2 | no | — |
| 567 | C2×Q8 | — | 18 | 2 | no | — |
| 568 | C2×Q8 | — | 18 | 2 | no | — |
| 569 | C2×D4 | — | 9 | 1 | no | — |
| 570 | C2×D4 | — | 9 | 1 | no | — |
| 571 | C2×D4 | — | 9 | 1 | no | — |
| 572 | C2×D4 | — | 18 | 1 | no | — |
| 573 | C2×D4 | — | 18 | 1 | no | — |
| 574 | C2×D4 | — | 18 | 2 | no | — |
| 575 | C2×D4 | — | 18 | 1 | no | — |
| 576 | C22×C4 | — | 9 | 2 | no | — |
| 577 | C22×C4 | — | 9 | 1 | no | — |
| 578 | C22×C4 | — | 18 | 1 | no | — |
| 579 | C22×C4 | — | 18 | 1 | no | — |
| 580 | C22×C4 | — | 18 | 2 | no | — |
| 581 | C22×C4 | — | 18 | 2 | no | — |
| 582 | C22×C4 | — | 18 | 1 | no | — |
| 583 | Q16 | — | 6 | 1 | no | — |
| 584 | Q16 | — | 18 | 1 | no | — |
| 585 | Q16 | — | 18 | 2 | no | — |
| 586 | SD16 | — | 6 | 1 | no | — |
| 587 | SD16 | — | 6 | 1 | no | — |
| 588 | SD16 | — | 18 | 1 | no | — |
| 589 | SD16 | — | 18 | 1 | no | — |
| 590 | SD16 | — | 18 | 2 | no | — |
| 591 | SD16 | — | 18 | 2 | no | — |
| 592 | D8 | — | 6 | 1 | no | — |
| 593 | D8 | — | 18 | 1 | no | — |
| 594 | D8 | — | 18 | 2 | no | — |
| 595 | M16 | — | 9 | 1 | no | — |
| 596 | M16 | — | 9 | 1 | no | — |
| 597 | M16 | — | 9 | 2 | no | — |
| 598 | M16 | — | 18 | 1 | no | — |
| 599 | M16 | — | 18 | 1 | no | — |
| 600 | C2×C8 | — | 6 | 1 | no | — |
| 601 | C2×C8 | — | 18 | 1 | no | — |
| 602 | C4⋊C4 | — | 18 | 1 | no | — |
| 603 | C4⋊C4 | — | 18 | 4 | no | — |
| 604 | C22⋊C4 | — | 18 | 4 | no | — |
| 605 | C22⋊C4 | — | 18 | 1 | no | — |
| 606 | C42 | — | 9 | 2 | no | — |
| 607 | C22×C3 | — | 2 | 2 | no | — |
| 608 | C22×C3 | — | 2 | 1 | no | — |
| 609 | C22×C3 | — | 2 | 1 | no | — |
| 610 | C22×C3 | — | 4 | 1 | no | — |
| 611 | C22×C3 | — | 6 | 2 | no | — |
| 612 | C22×C3 | — | 12 | 1 | no | — |
| 613 | C2×D3 | — | 2 | 2 | no | — |
| 614 | C2×D3 | — | 4 | 1 | no | — |
| 615 | C2×D3 | — | 6 | 1 | no | — |
| 616 | C2×D3 | — | 6 | 1 | no | — |
| 617 | C2×D3 | — | 6 | 1 | no | — |
| 618 | C2×D3 | — | 6 | 1 | no | — |
| 619 | C2×D3 | — | 6 | 2 | no | — |
| 620 | C2×D3 | — | 12 | 1 | no | — |
| 621 | C2×D3 | — | 12 | 4 | no | — |
| 622 | C2×D3 | — | 12 | 2 | no | — |
| 623 | C2×D3 | — | 12 | 4 | no | — |
| 624 | C2×D3 | — | 24 | 2 | no | — |
| 625 | C2×D3 | — | 24 | 1 | no | — |
| 626 | C2×D3 | — | 24 | 2 | no | — |
| 627 | C3×C4 | — | 2 | 2 | no | — |
| 628 | C3×C4 | — | 2 | 1 | no | — |
| 629 | C3×C4 | — | 2 | 1 | no | — |
| 630 | C3×C4 | — | 2 | 1 | no | — |
| 631 | C3×C4 | — | 2 | 1 | no | — |
| 632 | C3×C4 | — | 4 | 1 | no | — |
| 633 | C3×C4 | — | 6 | 4 | no | — |
| 634 | C3×C4 | — | 6 | 2 | no | — |
| 635 | C3×C4 | — | 12 | 1 | no | — |
| 636 | Dic3 | — | 2 | 4 | no | — |
| 637 | Dic3 | — | 2 | 2 | no | — |
| 638 | Dic3 | — | 4 | 1 | no | — |
| 639 | Dic3 | — | 6 | 1 | no | — |
| 640 | Dic3 | — | 6 | 1 | no | — |
| 641 | Dic3 | — | 6 | 1 | no | — |
| 642 | Dic3 | — | 6 | 1 | no | — |
| 643 | Dic3 | — | 6 | 2 | no | — |
| 644 | Dic3 | — | 12 | 1 | no | — |
| 645 | C32 | #3020 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 646 | C23 | — | 9 | 1 | no | — |
| 647 | C23 | — | 18 | 1 | no | — |
| 648 | C23 | — | 18 | 1 | no | — |
| 649 | C23 | — | 18 | 1 | no | — |
| 650 | Q8 | — | 6 | 4 | no | — |
| 651 | Q8 | — | 6 | 2 | no | — |
| 652 | Q8 | — | 6 | 2 | no | — |
| 653 | Q8 | — | 6 | 1 | no | — |
| 654 | Q8 | — | 6 | 1 | no | — |
| 655 | Q8 | — | 9 | 2 | no | — |
| 656 | Q8 | — | 9 | 1 | no | — |
| 657 | Q8 | — | 18 | 1 | no | — |
| 658 | Q8 | — | 18 | 2 | no | — |
| 659 | Q8 | — | 18 | 2 | no | — |
| 660 | Q8 | — | 18 | 4 | no | — |
| 661 | Q8 | — | 18 | 1 | no | — |
| 662 | Q8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 663 | D4 | — | 2 | 1 | no | — |
| 664 | D4 | — | 6 | 4 | no | — |
| 665 | D4 | — | 6 | 2 | no | — |
| 666 | D4 | — | 6 | 1 | no | — |
| 667 | D4 | — | 6 | 1 | no | — |
| 668 | D4 | — | 9 | 2 | no | — |
| 669 | D4 | — | 9 | 1 | no | — |
| 670 | D4 | — | 12 | 1 | no | — |
| 671 | D4 | — | 18 | 1 | no | — |
| 672 | D4 | — | 18 | 2 | no | — |
| 673 | D4 | — | 18 | 4 | no | — |
| 674 | D4 | — | 18 | 1 | no | — |
| 675 | D4 | — | 18 | 1 | no | — |
| 676 | D4 | — | 18 | 1 | no | — |
| 677 | D4 | — | 18 | 1 | no | — |
| 678 | D4 | — | 36 | 1 | no | — |
| 679 | D4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 680 | C2×C4 | — | 2 | 1 | no | — |
| 681 | C2×C4 | — | 6 | 4 | no | — |
| 682 | C2×C4 | — | 6 | 4 | no | — |
| 683 | C2×C4 | — | 6 | 2 | no | — |
| 684 | C2×C4 | — | 6 | 2 | no | — |
| 685 | C2×C4 | — | 9 | 4 | no | — |
| 686 | C2×C4 | — | 9 | 1 | no | — |
| 687 | C2×C4 | — | 9 | 1 | no | — |
| 688 | C2×C4 | — | 9 | 1 | no | — |
| 689 | C2×C4 | — | 9 | 1 | no | — |
| 690 | C2×C4 | — | 9 | 1 | no | — |
| 691 | C2×C4 | — | 12 | 1 | no | — |
| 692 | C2×C4 | — | 18 | 1 | no | — |
| 693 | C2×C4 | — | 18 | 1 | no | — |
| 694 | C2×C4 | — | 18 | 2 | no | — |
| 695 | C2×C4 | — | 18 | 1 | no | — |
| 696 | C2×C4 | — | 18 | 4 | no | — |
| 697 | C2×C4 | — | 18 | 2 | no | — |
| 698 | C2×C4 | — | 18 | 4 | no | — |
| 699 | C2×C4 | — | 18 | 1 | no | — |
| 700 | C2×C4 | — | 18 | 1 | no | — |
| 701 | C2×C4 | — | 18 | 1 | no | — |
| 702 | C2×C4 | — | 18 | 2 | no | — |
| 703 | C2×C4 | — | 36 | 1 | no | — |
| 704 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 705 | C8 | — | 6 | 1 | no | — |
| 706 | C8 | — | 6 | 1 | no | — |
| 707 | C8 | — | 18 | 2 | no | — |
| 708 | C2×C3 | — | 2 | 1 | no | — |
| 709 | C2×C3 | — | 2 | 1 | no | — |
| 710 | C2×C3 | — | 4 | 1 | no | — |
| 711 | C2×C3 | — | 4 | 1 | no | — |
| 712 | C2×C3 | — | 4 | 2 | no | — |
| 713 | C2×C3 | — | 8 | 1 | no | — |
| 714 | C2×C3 | — | 12 | 2 | no | — |
| 715 | C2×C3 | — | 24 | 1 | no | — |
| 716 | D3 | — | 4 | 2 | no | — |
| 717 | D3 | — | 6 | 2 | no | — |
| 718 | D3 | — | 8 | 1 | no | — |
| 719 | D3 | — | 12 | 1 | no | — |
| 720 | D3 | — | 12 | 1 | no | — |
| 721 | D3 | — | 12 | 1 | no | — |
| 722 | D3 | — | 12 | 2 | no | — |
| 723 | D3 | — | 24 | 1 | no | — |
| 724 | C22 | — | 2 | 1 | no | — |
| 725 | C22 | — | 6 | 2 | no | — |
| 726 | C22 | — | 9 | 1 | no | — |
| 727 | C22 | — | 9 | 1 | no | — |
| 728 | C22 | — | 12 | 1 | no | — |
| 729 | C22 | — | 18 | 1 | no | — |
| 730 | C22 | — | 36 | 1 | no | — |
| 731 | C22 | — | 36 | 2 | no | — |
| 732 | C22 | — | 36 | 2 | no | — |
| 733 | C22 | — | 36 | 2 | no | — |
| 734 | C22 | #64241 | 1 | 1 | yes | characteristic |
| 735 | C4 | — | 2 | 1 | no | — |
| 736 | C4 | — | 6 | 4 | no | — |
| 737 | C4 | — | 6 | 2 | no | — |
| 738 | C4 | — | 9 | 1 | no | — |
| 739 | C4 | — | 9 | 1 | no | — |
| 740 | C4 | — | 12 | 1 | no | — |
| 741 | C4 | — | 18 | 1 | no | — |
| 742 | C4 | — | 36 | 2 | no | — |
| 743 | C4 | #64241 | 1 | 1 | yes | characteristic |
| 744 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 745 | C3 | — | 2 | 1 | no | — |
| 746 | C3 | — | 2 | 1 | no | — |
| 747 | C2 | — | 2 | 1 | no | — |
| 748 | C2 | — | 4 | 1 | no | — |
| 749 | C2 | — | 12 | 2 | no | — |
| 750 | C2 | — | 18 | 1 | no | — |
| 751 | C2 | — | 18 | 1 | no | — |
| 752 | C2 | — | 24 | 1 | no | — |
| 753 | C2 | — | 36 | 1 | no | — |
| 754 | C2 | C2×#64241 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596694 | C2 | semidirect |
| 2. #10596502 | C2 | semidirect |
| 3. #10596494 | C2 | semidirect |
| 4. #10595460 | C2 | semidirect |
| 5. #10593842 | C2 | semidirect |
| 6. #10593484 | C2 | semidirect |
| 7. #10593483 | C2 | semidirect |
| 8. #10593470 | C2 | semidirect |
| 9. #10593469 | C2 | semidirect |
| 10. #10593324 | C2 | semidirect |
| 11. C2×#63728 | C2 | semidirect |
| 32. #64226 | C22 | semidirect |
| 34. #64224 | C22 | semidirect |
| 35. #64222 | C22 | semidirect |
| 36. #64221 | C22 | semidirect |
| 40. #63945 | C22 | semidirect |
| 41. #63941 | C22 | semidirect |
| 43. #63931 | C22 | semidirect |
| 44. #63927 | C22 | semidirect |
| 47. #63785 | C22 | semidirect |
| 48. #63783 | C22 | semidirect |
| 49. #63731 | C22 | semidirect |
| 50. #63731 | C22 | semidirect |
| 51. #63728 | C22 | semidirect |
| 52. #63728 | C22 | semidirect |
| 645. C32 | #3020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596694 | 2 |
| #10596502 | 2 |
| #10596494 | 2 |
| #10595460 | 2 |
| #10593842 | 2 |
| #10593484 | 2 |
| #10593483 | 2 |
| #10593470 | 2 |
| #10593469 | 2 |
| #10593324 | 2 |
| C2×#63728 | 2 |
| #3020 | 9 |