Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
772 conjugacy classes of subgroups.
The subgroup lattice has 750 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | Q8×GO+(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596518 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10594742 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D32×SD16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10593782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10593474 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10593472 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10593471 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10593465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10593460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10593459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10593291 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10593288 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10593286 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10593282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | D32×Q8 | C22 | 1 | 1 | yes | characteristic |
| 17 | D32×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #64312 | C22 | 1 | 1 | yes | characteristic |
| 19 | D32×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | D4×#157 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64242 | — | 2 | 1 | no | — |
| 23 | #64241 | — | 2 | 1 | no | — |
| 24 | #64233 | — | 2 | 1 | no | — |
| 25 | C2×D32⋊C4 | — | 2 | 1 | no | — |
| 26 | #64230 | C22 | 1 | 1 | yes | characteristic |
| 27 | C4×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 28 | C4×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 29 | #64228 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #64227 | C22 | 1 | 1 | yes | characteristic |
| 31 | #64222 | — | 2 | 1 | no | — |
| 32 | #64222 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #64221 | C22 | 1 | 1 | yes | characteristic |
| 34 | D32⋊Q8 | — | 2 | 1 | no | — |
| 35 | D32⋊Q8 | — | 2 | 1 | no | — |
| 36 | D32⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 37 | D32⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 38 | D32⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | SD16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×#915 | — | 2 | 1 | no | — |
| 41 | C3×D3×SD16 | — | 2 | 1 | no | — |
| 42 | #63948 | — | 2 | 1 | no | — |
| 43 | #63944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #63940 | C22 | 1 | 1 | yes | characteristic |
| 45 | D3×#215 | — | 2 | 1 | no | — |
| 46 | #63930 | C22 | 1 | 1 | yes | characteristic |
| 47 | #63930 | C22 | 1 | 1 | yes | characteristic |
| 48 | #63929 | — | 2 | 1 | no | — |
| 49 | D3×#214 | — | 2 | 1 | no | — |
| 50 | #63802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #63801 | — | 2 | 1 | no | — |
| 52 | #63796 | C22 | 1 | 1 | yes | characteristic |
| 53 | D3×#204 | — | 2 | 1 | no | — |
| 54 | #63791 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | D32×C8 | C22 | 1 | 1 | yes | characteristic |
| 56 | #63784 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #63782 | C22 | 1 | 1 | yes | characteristic |
| 58 | #63769 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #63767 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #63732 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #63730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #63730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #63730 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63729 | C22 | 1 | 1 | yes | characteristic |
| 65 | D32⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 66 | D32⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | D3×#137 | — | 6 | 1 | no | — |
| 68 | C2×D3×SD16 | — | 6 | 1 | no | — |
| 69 | C22×D32 | — | 2 | 1 | no | — |
| 70 | C22×#157 | — | 2 | 1 | no | — |
| 71 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 72 | C2×GO+(4,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 73 | Q8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 74 | D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 75 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 76 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 77 | C3×#237 | — | 2 | 1 | no | — |
| 78 | C3×D3×D4 | — | 2 | 1 | no | — |
| 79 | #3811 | — | 2 | 1 | no | — |
| 80 | #3811 | — | 2 | 1 | no | — |
| 81 | D3×#67 | — | 4 | 1 | no | — |
| 82 | C2×#624 | — | 2 | 1 | no | — |
| 83 | #3804 | — | 4 | 1 | no | — |
| 84 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 85 | D3×D12 | — | 2 | 1 | no | — |
| 86 | C4×D32 | — | 2 | 1 | no | — |
| 87 | C4×D32 | — | 2 | 1 | no | — |
| 88 | C4×D32 | C23 | 1 | 1 | yes | characteristic |
| 89 | C4×D32 | C23 | 1 | 1 | yes | characteristic |
| 90 | #3799 | — | 2 | 1 | no | — |
| 91 | #3797 | — | 2 | 1 | no | — |
| 92 | #3797 | — | 2 | 1 | no | — |
| 93 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 94 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 95 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 96 | D3×Dic6 | — | 2 | 1 | no | — |
| 97 | D3×Dic6 | — | 2 | 1 | no | — |
| 98 | D3×Dic6 | — | 4 | 1 | no | — |
| 99 | D3×Dic6 | — | 4 | 1 | no | — |
| 100 | C22⋊#157 | — | 2 | 1 | no | — |
| 101 | C4⋊#157 | — | 2 | 1 | no | — |
| 102 | C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 104 | C4×#157 | — | 2 | 1 | no | — |
| 105 | C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 106 | #3787 | C23 | 1 | 1 | yes | characteristic |
| 107 | #3776 | — | 4 | 1 | no | — |
| 108 | #3775 | — | 4 | 1 | no | — |
| 109 | #3773 | — | 2 | 1 | no | — |
| 110 | #3773 | — | 2 | 1 | no | — |
| 111 | #3773 | — | 2 | 1 | no | — |
| 112 | #3773 | — | 2 | 1 | no | — |
| 113 | #3773 | — | 2 | 1 | no | — |
| 114 | #3773 | D4 | 1 | 1 | yes | characteristic |
| 115 | D32⋊C4 | — | 2 | 1 | no | — |
| 116 | D32⋊C4 | — | 2 | 1 | no | — |
| 117 | D32⋊C4 | — | 2 | 1 | no | — |
| 118 | D32⋊C4 | — | 2 | 1 | no | — |
| 119 | D32⋊C4 | — | 2 | 1 | no | — |
| 120 | D32⋊C4 | — | 2 | 1 | no | — |
| 121 | D32⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 122 | D32⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 123 | C32×SD16 | D4 | 1 | 1 | yes | characteristic, complemented |
| 124 | #3755 | D4 | 1 | 1 | yes | characteristic, complemented |
| 125 | #3754 | D4 | 1 | 1 | yes | characteristic, complemented |
| 126 | #3744 | D4 | 1 | 1 | yes | characteristic, complemented |
| 127 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 128 | C3×#216 | — | 2 | 1 | no | — |
| 129 | C3×#215 | — | 2 | 1 | no | — |
| 130 | C3×#214 | — | 2 | 1 | no | — |
| 131 | C3×#214 | — | 2 | 1 | no | — |
| 132 | C3×Dic12 | — | 2 | 1 | no | — |
| 133 | C3×#204 | — | 2 | 1 | no | — |
| 134 | C3×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 135 | C3×D3×C8 | — | 2 | 1 | no | — |
| 136 | #3719 | — | 2 | 1 | no | — |
| 137 | #3718 | — | 2 | 1 | no | — |
| 138 | #3717 | — | 2 | 1 | no | — |
| 139 | #3717 | — | 2 | 1 | no | — |
| 140 | #3716 | — | 2 | 1 | no | — |
| 141 | #3715 | — | 2 | 1 | no | — |
| 142 | #3711 | — | 2 | 1 | no | — |
| 143 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 144 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 145 | D3×C3⋊C8 | — | 2 | 1 | no | — |
| 146 | #3266 | — | 9 | 1 | no | maximal, Sylow |
| 147 | D3×#41 | — | 6 | 1 | no | — |
| 148 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 149 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 150 | C2×D3×D4 | — | 6 | 1 | no | — |
| 151 | C3×#137 | — | 6 | 1 | no | — |
| 152 | C2×C3×SD16 | — | 6 | 1 | no | — |
| 153 | #951 | — | 6 | 1 | no | — |
| 154 | #942 | — | 6 | 1 | no | — |
| 155 | C2×#215 | — | 6 | 1 | no | — |
| 156 | C2×#214 | — | 6 | 1 | no | — |
| 157 | #918 | — | 6 | 1 | no | — |
| 158 | #918 | — | 6 | 1 | no | — |
| 159 | D3×Q16 | — | 6 | 1 | no | — |
| 160 | D3×Q16 | — | 6 | 1 | no | — |
| 161 | #915 | — | 2 | 1 | no | — |
| 162 | #915 | — | 6 | 1 | no | — |
| 163 | D3×SD16 | — | 2 | 1 | no | — |
| 164 | D3×SD16 | — | 6 | 1 | no | — |
| 165 | D3×SD16 | — | 6 | 1 | no | — |
| 166 | D3×SD16 | — | 6 | 1 | no | — |
| 167 | D3×SD16 | — | 6 | 1 | no | — |
| 168 | D3×SD16 | — | 6 | 1 | no | — |
| 169 | D3×SD16 | — | 6 | 1 | no | — |
| 170 | D3×SD16 | — | 6 | 1 | no | — |
| 171 | D3×SD16 | — | 6 | 1 | no | — |
| 172 | D3×SD16 | — | 6 | 1 | no | — |
| 173 | #909 | — | 6 | 1 | no | — |
| 174 | D3×M16 | — | 6 | 1 | no | — |
| 175 | C2×#204 | — | 6 | 1 | no | — |
| 176 | C2×D3×C8 | — | 6 | 1 | no | — |
| 177 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 178 | C22×C3×D3 | — | 4 | 1 | no | — |
| 179 | C2×D32 | — | 2 | 1 | no | — |
| 180 | C2×D32 | — | 4 | 1 | no | — |
| 181 | C2×D32 | — | 4 | 2 | no | — |
| 182 | C2×D32 | — | 8 | 1 | no | — |
| 183 | C2×D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×#157 | — | 2 | 1 | no | — |
| 186 | C2×#157 | — | 2 | 1 | no | — |
| 187 | C2×#157 | — | 8 | 1 | no | — |
| 188 | C2×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 191 | GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 192 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | #638 | — | 2 | 1 | no | — |
| 195 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 197 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 198 | #634 | — | 2 | 1 | no | — |
| 199 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C3×#67 | — | 4 | 1 | no | — |
| 201 | C3×#67 | — | 4 | 1 | no | — |
| 202 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 203 | C3×D12 | — | 2 | 1 | no | — |
| 204 | C3×C4×D3 | — | 2 | 1 | no | — |
| 205 | C3×C4×D3 | — | 2 | 1 | no | — |
| 206 | C3×C4×D3 | — | 4 | 1 | no | — |
| 207 | C3×C4×D3 | — | 4 | 1 | no | — |
| 208 | C3×Dic6 | — | 2 | 1 | no | — |
| 209 | C3×Dic6 | — | 2 | 1 | no | — |
| 210 | C3×Dic6 | — | 2 | 1 | no | — |
| 211 | C3×Dic6 | — | 4 | 1 | no | — |
| 212 | C3×Dic6 | — | 4 | 1 | no | — |
| 213 | #627 | — | 2 | 1 | no | — |
| 214 | #627 | — | 2 | 1 | no | — |
| 215 | #627 | — | 2 | 1 | no | — |
| 216 | #627 | — | 4 | 1 | no | — |
| 217 | #627 | — | 4 | 1 | no | — |
| 218 | #626 | — | 4 | 1 | no | — |
| 219 | #626 | — | 4 | 1 | no | — |
| 220 | #625 | — | 2 | 1 | no | — |
| 221 | #624 | — | 2 | 1 | no | — |
| 222 | #624 | — | 2 | 1 | no | — |
| 223 | #624 | — | 2 | 1 | no | — |
| 224 | #624 | — | 4 | 1 | no | — |
| 225 | #624 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | #624 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | D3×Dic3 | — | 2 | 1 | no | — |
| 228 | D3×Dic3 | — | 2 | 1 | no | — |
| 229 | D3×Dic3 | — | 4 | 1 | no | — |
| 230 | D3×Dic3 | — | 4 | 1 | no | — |
| 231 | #622 | — | 2 | 1 | no | — |
| 232 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 235 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 236 | C2×#137 | — | 9 | 1 | no | — |
| 237 | C22×SD16 | — | 9 | 1 | no | — |
| 238 | D4×Q8 | — | 9 | 1 | no | — |
| 239 | #546 | — | 9 | 1 | no | — |
| 240 | #497 | — | 9 | 1 | no | — |
| 241 | #468 | — | 9 | 1 | no | — |
| 242 | #467 | — | 9 | 1 | no | — |
| 243 | #464 | — | 9 | 1 | no | — |
| 244 | #461 | — | 9 | 1 | no | — |
| 245 | #452 | — | 9 | 1 | no | — |
| 246 | #451 | — | 9 | 1 | no | — |
| 247 | #450 | — | 9 | 1 | no | — |
| 248 | #448 | — | 9 | 1 | no | — |
| 249 | #440 | — | 9 | 1 | no | — |
| 250 | #435 | — | 9 | 1 | no | — |
| 251 | C23×D3 | — | 12 | 1 | no | — |
| 252 | C3×#41 | — | 6 | 1 | no | — |
| 253 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 254 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 255 | C2×C3×D4 | — | 6 | 1 | no | — |
| 256 | C2×#67 | — | 12 | 1 | no | — |
| 257 | #239 | — | 6 | 1 | no | — |
| 258 | D3×Q8 | — | 2 | 1 | no | — |
| 259 | D3×Q8 | — | 2 | 1 | no | — |
| 260 | D3×Q8 | — | 6 | 1 | no | — |
| 261 | D3×Q8 | — | 6 | 1 | no | — |
| 262 | D3×Q8 | — | 6 | 1 | no | — |
| 263 | D3×Q8 | — | 6 | 1 | no | — |
| 264 | D3×Q8 | — | 6 | 1 | no | — |
| 265 | D3×Q8 | — | 6 | 1 | no | — |
| 266 | D3×Q8 | — | 6 | 1 | no | — |
| 267 | D3×Q8 | — | 12 | 1 | no | — |
| 268 | D3×Q8 | — | 12 | 1 | no | — |
| 269 | D3×Q8 | — | 12 | 1 | no | — |
| 270 | D3×Q8 | — | 12 | 1 | no | — |
| 271 | #237 | — | 2 | 1 | no | — |
| 272 | #237 | — | 12 | 1 | no | — |
| 273 | D3×D4 | — | 2 | 1 | no | — |
| 274 | D3×D4 | — | 6 | 1 | no | — |
| 275 | D3×D4 | — | 6 | 1 | no | — |
| 276 | D3×D4 | — | 6 | 1 | no | — |
| 277 | D3×D4 | — | 6 | 1 | no | — |
| 278 | D3×D4 | — | 12 | 1 | no | — |
| 279 | D3×D4 | — | 12 | 1 | no | — |
| 280 | D3×D4 | — | 12 | 1 | no | — |
| 281 | #235 | — | 6 | 1 | no | — |
| 282 | #235 | — | 12 | 1 | no | — |
| 283 | C2×D12 | — | 6 | 1 | no | — |
| 284 | C2×C4×D3 | — | 6 | 1 | no | — |
| 285 | C2×C4×D3 | — | 6 | 1 | no | — |
| 286 | C2×C4×D3 | — | 12 | 1 | no | — |
| 287 | C2×C4×D3 | — | 12 | 1 | no | — |
| 288 | C2×C4×D3 | — | 12 | 1 | no | — |
| 289 | C2×Dic6 | — | 6 | 1 | no | — |
| 290 | C2×Dic6 | — | 6 | 1 | no | — |
| 291 | C2×Dic6 | — | 12 | 1 | no | — |
| 292 | C2×Dic6 | — | 12 | 1 | no | — |
| 293 | C3×Q16 | — | 6 | 1 | no | — |
| 294 | C3×Q16 | — | 6 | 1 | no | — |
| 295 | C3×SD16 | — | 2 | 1 | no | — |
| 296 | C3×SD16 | — | 2 | 1 | no | — |
| 297 | C3×SD16 | — | 6 | 1 | no | — |
| 298 | C3×SD16 | — | 6 | 1 | no | — |
| 299 | C3×SD16 | — | 6 | 1 | no | — |
| 300 | C3×SD16 | — | 6 | 1 | no | — |
| 301 | C3×M16 | — | 6 | 1 | no | — |
| 302 | C2×C3×C8 | — | 6 | 1 | no | — |
| 303 | #216 | — | 2 | 1 | no | — |
| 304 | #216 | — | 6 | 1 | no | — |
| 305 | #216 | — | 6 | 1 | no | — |
| 306 | #216 | — | 6 | 1 | no | — |
| 307 | #215 | — | 2 | 1 | no | — |
| 308 | #215 | — | 6 | 1 | no | — |
| 309 | #215 | — | 6 | 1 | no | — |
| 310 | #215 | — | 6 | 1 | no | — |
| 311 | #215 | — | 6 | 1 | no | — |
| 312 | #215 | — | 6 | 1 | no | — |
| 313 | #214 | — | 2 | 1 | no | — |
| 314 | #214 | — | 2 | 1 | no | — |
| 315 | #214 | — | 6 | 1 | no | — |
| 316 | #214 | — | 6 | 1 | no | — |
| 317 | #214 | — | 6 | 1 | no | — |
| 318 | #214 | — | 6 | 1 | no | — |
| 319 | #208 | — | 6 | 1 | no | — |
| 320 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 321 | Dic12 | — | 2 | 1 | no | — |
| 322 | Dic12 | — | 6 | 1 | no | — |
| 323 | #204 | — | 2 | 1 | no | — |
| 324 | #204 | — | 6 | 1 | no | — |
| 325 | #204 | — | 6 | 1 | no | — |
| 326 | #204 | — | 6 | 1 | no | — |
| 327 | #204 | — | 6 | 1 | no | — |
| 328 | #204 | — | 6 | 1 | no | — |
| 329 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 330 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 331 | D3×C8 | — | 2 | 1 | no | — |
| 332 | D3×C8 | — | 6 | 1 | no | — |
| 333 | D3×C8 | — | 6 | 1 | no | — |
| 334 | D3×C8 | — | 6 | 1 | no | — |
| 335 | D3×C8 | — | 6 | 1 | no | — |
| 336 | D3×C8 | — | 6 | 1 | no | — |
| 337 | C22×C32 | — | 2 | 1 | no | — |
| 338 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 339 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 340 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 341 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C2×C3×D3 | — | 2 | 1 | no | — |
| 343 | C2×C3×D3 | — | 2 | 1 | no | — |
| 344 | C2×C3×D3 | — | 4 | 1 | no | — |
| 345 | C2×C3×D3 | — | 8 | 2 | no | — |
| 346 | D32 | — | 2 | 1 | no | — |
| 347 | D32 | — | 2 | 1 | no | — |
| 348 | D32 | — | 2 | 1 | no | — |
| 349 | D32 | — | 4 | 1 | no | — |
| 350 | D32 | — | 4 | 1 | no | — |
| 351 | D32 | — | 8 | 2 | no | — |
| 352 | D32 | #137 | 1 | 2 | yes | complemented |
| 353 | #157 | — | 2 | 1 | no | — |
| 354 | #157 | — | 2 | 1 | no | — |
| 355 | #157 | — | 4 | 1 | no | — |
| 356 | #157 | — | 4 | 1 | no | — |
| 357 | C32×C4 | — | 2 | 1 | no | — |
| 358 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 359 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 360 | C3⋊Dic3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 361 | C3×Dic3 | — | 2 | 1 | no | — |
| 362 | C3×Dic3 | — | 2 | 1 | no | — |
| 363 | C3×Dic3 | — | 4 | 1 | no | — |
| 364 | C3×Dic3 | — | 4 | 1 | no | — |
| 365 | C3×Dic3 | — | 4 | 1 | no | — |
| 366 | C2×#41 | — | 9 | 1 | no | — |
| 367 | C22×Q8 | — | 9 | 1 | no | — |
| 368 | C22×Q8 | — | 9 | 1 | no | — |
| 369 | C22×D4 | — | 9 | 1 | no | — |
| 370 | #137 | — | 6 | 1 | no | — |
| 371 | #137 | — | 18 | 1 | no | — |
| 372 | #137 | — | 18 | 1 | no | — |
| 373 | #137 | — | 18 | 1 | no | — |
| 374 | C2×Q16 | — | 9 | 1 | no | — |
| 375 | C2×Q16 | — | 9 | 1 | no | — |
| 376 | C2×Q16 | — | 9 | 1 | no | — |
| 377 | C2×SD16 | — | 6 | 1 | no | — |
| 378 | C2×SD16 | — | 9 | 1 | no | — |
| 379 | C2×SD16 | — | 9 | 1 | no | — |
| 380 | C2×SD16 | — | 9 | 1 | no | — |
| 381 | C2×SD16 | — | 9 | 1 | no | — |
| 382 | C2×SD16 | — | 9 | 1 | no | — |
| 383 | C2×SD16 | — | 9 | 1 | no | — |
| 384 | C2×SD16 | — | 18 | 1 | no | — |
| 385 | C2×SD16 | — | 18 | 1 | no | — |
| 386 | C2×SD16 | — | 18 | 1 | no | — |
| 387 | C2×M16 | — | 9 | 1 | no | — |
| 388 | C22×C8 | — | 9 | 1 | no | — |
| 389 | C4⋊Q8 | — | 9 | 1 | no | — |
| 390 | C4⋊Q8 | — | 18 | 1 | no | — |
| 391 | #124 | — | 9 | 1 | no | — |
| 392 | #123 | — | 18 | 1 | no | — |
| 393 | C22⋊Q8 | — | 9 | 1 | no | — |
| 394 | C22⋊Q8 | — | 9 | 1 | no | — |
| 395 | C22⋊Q8 | — | 9 | 1 | no | — |
| 396 | C22⋊Q8 | — | 18 | 1 | no | — |
| 397 | C22⋊Q8 | — | 18 | 1 | no | — |
| 398 | #121 | — | 9 | 1 | no | — |
| 399 | #121 | — | 18 | 1 | no | — |
| 400 | #120 | — | 18 | 1 | no | — |
| 401 | C4×Q8 | — | 9 | 1 | no | — |
| 402 | C4×D4 | — | 9 | 1 | no | — |
| 403 | C4×D4 | — | 9 | 1 | no | — |
| 404 | C4×D4 | — | 18 | 1 | no | — |
| 405 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 406 | #107 | — | 9 | 1 | no | — |
| 407 | C4⋊C8 | — | 9 | 1 | no | — |
| 408 | #103 | — | 9 | 1 | no | — |
| 409 | #103 | — | 9 | 1 | no | — |
| 410 | #103 | — | 9 | 1 | no | — |
| 411 | #103 | — | 9 | 1 | no | — |
| 412 | #102 | — | 9 | 1 | no | — |
| 413 | #102 | — | 9 | 1 | no | — |
| 414 | C22⋊C8 | — | 9 | 1 | no | — |
| 415 | C22⋊C8 | — | 9 | 1 | no | — |
| 416 | #97 | — | 9 | 1 | no | — |
| 417 | C23×C3 | — | 12 | 1 | no | — |
| 418 | C22×D3 | — | 4 | 1 | no | — |
| 419 | C22×D3 | — | 6 | 1 | no | — |
| 420 | C22×D3 | — | 6 | 1 | no | — |
| 421 | C22×D3 | — | 12 | 1 | no | — |
| 422 | C22×D3 | — | 12 | 1 | no | — |
| 423 | C22×D3 | — | 12 | 1 | no | — |
| 424 | C22×D3 | — | 12 | 1 | no | — |
| 425 | C22×D3 | — | 12 | 1 | no | — |
| 426 | C22×D3 | — | 24 | 2 | no | — |
| 427 | C22×D3 | — | 24 | 2 | no | — |
| 428 | C3×Q8 | — | 2 | 1 | no | — |
| 429 | C3×Q8 | — | 2 | 1 | no | — |
| 430 | C3×Q8 | — | 6 | 1 | no | — |
| 431 | C3×Q8 | — | 6 | 1 | no | — |
| 432 | C3×Q8 | — | 6 | 1 | no | — |
| 433 | C3×Q8 | — | 12 | 1 | no | — |
| 434 | C3×Q8 | — | 12 | 1 | no | — |
| 435 | C3×D4 | — | 2 | 1 | no | — |
| 436 | C3×D4 | — | 2 | 1 | no | — |
| 437 | C3×D4 | — | 6 | 1 | no | — |
| 438 | C3×D4 | — | 12 | 1 | no | — |
| 439 | C3×D4 | — | 12 | 1 | no | — |
| 440 | C2×C3×C4 | — | 6 | 1 | no | — |
| 441 | C2×C3×C4 | — | 6 | 1 | no | — |
| 442 | C2×C3×C4 | — | 12 | 1 | no | — |
| 443 | C2×C3×C4 | — | 12 | 1 | no | — |
| 444 | C2×C3×C4 | — | 12 | 1 | no | — |
| 445 | #67 | — | 4 | 1 | no | — |
| 446 | #67 | — | 4 | 1 | no | — |
| 447 | #67 | — | 12 | 1 | no | — |
| 448 | #67 | — | 12 | 1 | no | — |
| 449 | #67 | — | 12 | 1 | no | — |
| 450 | #67 | — | 12 | 1 | no | — |
| 451 | #67 | — | 12 | 1 | no | — |
| 452 | C2×Dic3 | — | 4 | 1 | no | — |
| 453 | C2×Dic3 | — | 6 | 1 | no | — |
| 454 | C2×Dic3 | — | 6 | 1 | no | — |
| 455 | C2×Dic3 | — | 12 | 1 | no | — |
| 456 | C2×Dic3 | — | 12 | 1 | no | — |
| 457 | D12 | — | 2 | 1 | no | — |
| 458 | D12 | — | 6 | 1 | no | — |
| 459 | D12 | — | 6 | 1 | no | — |
| 460 | D12 | — | 12 | 1 | no | — |
| 461 | D12 | — | 12 | 1 | no | — |
| 462 | C4×D3 | — | 2 | 1 | no | — |
| 463 | C4×D3 | — | 2 | 1 | no | — |
| 464 | C4×D3 | — | 4 | 1 | no | — |
| 465 | C4×D3 | — | 4 | 1 | no | — |
| 466 | C4×D3 | — | 6 | 1 | no | — |
| 467 | C4×D3 | — | 6 | 1 | no | — |
| 468 | C4×D3 | — | 6 | 1 | no | — |
| 469 | C4×D3 | — | 6 | 1 | no | — |
| 470 | C4×D3 | — | 6 | 1 | no | — |
| 471 | C4×D3 | — | 6 | 1 | no | — |
| 472 | C4×D3 | — | 12 | 1 | no | — |
| 473 | C4×D3 | — | 12 | 1 | no | — |
| 474 | C4×D3 | — | 12 | 1 | no | — |
| 475 | C4×D3 | — | 12 | 1 | no | — |
| 476 | C4×D3 | — | 12 | 1 | no | — |
| 477 | C4×D3 | — | 12 | 1 | no | — |
| 478 | C4×D3 | — | 12 | 1 | no | — |
| 479 | C4×D3 | — | 12 | 1 | no | — |
| 480 | C4×D3 | — | 12 | 1 | no | — |
| 481 | Dic6 | — | 2 | 1 | no | — |
| 482 | Dic6 | — | 2 | 1 | no | — |
| 483 | Dic6 | — | 2 | 1 | no | — |
| 484 | Dic6 | — | 4 | 1 | no | — |
| 485 | Dic6 | — | 4 | 1 | no | — |
| 486 | Dic6 | — | 6 | 1 | no | — |
| 487 | Dic6 | — | 6 | 1 | no | — |
| 488 | Dic6 | — | 12 | 1 | no | — |
| 489 | Dic6 | — | 12 | 1 | no | — |
| 490 | Dic6 | — | 12 | 1 | no | — |
| 491 | Dic6 | — | 12 | 1 | no | — |
| 492 | Dic6 | — | 12 | 1 | no | — |
| 493 | Dic6 | — | 12 | 1 | no | — |
| 494 | Dic6 | — | 12 | 1 | no | — |
| 495 | Dic6 | — | 12 | 1 | no | — |
| 496 | Dic6 | — | 12 | 1 | no | — |
| 497 | C3×C8 | — | 2 | 1 | no | — |
| 498 | C3×C8 | — | 2 | 1 | no | — |
| 499 | C3×C8 | — | 6 | 1 | no | — |
| 500 | C3×C8 | — | 6 | 1 | no | — |
| 501 | C3⋊C8 | — | 2 | 1 | no | — |
| 502 | C3⋊C8 | — | 2 | 1 | no | — |
| 503 | C3⋊C8 | — | 6 | 1 | no | — |
| 504 | C3⋊C8 | — | 6 | 1 | no | — |
| 505 | C2×C32 | — | 4 | 1 | no | — |
| 506 | C2×C32 | D42 | 1 | 1 | yes | characteristic |
| 507 | C3⋊D3 | — | 4 | 1 | no | — |
| 508 | C3⋊D3 | C2×#137 | 1 | 1 | yes | characteristic |
| 509 | C3⋊D3 | #577 | 1 | 1 | yes | characteristic |
| 510 | C3×D3 | — | 2 | 2 | no | — |
| 511 | C3×D3 | — | 4 | 1 | no | — |
| 512 | C3×D3 | — | 8 | 1 | no | — |
| 513 | C24 | — | 18 | 1 | no | — |
| 514 | #41 | — | 6 | 1 | no | — |
| 515 | #41 | — | 18 | 1 | no | — |
| 516 | #41 | — | 36 | 1 | no | — |
| 517 | C2×Q8 | — | 6 | 1 | no | — |
| 518 | C2×Q8 | — | 6 | 1 | no | — |
| 519 | C2×Q8 | — | 9 | 1 | no | — |
| 520 | C2×Q8 | — | 9 | 1 | no | — |
| 521 | C2×Q8 | — | 9 | 1 | no | — |
| 522 | C2×Q8 | — | 9 | 1 | no | — |
| 523 | C2×Q8 | — | 18 | 1 | no | — |
| 524 | C2×Q8 | — | 18 | 1 | no | — |
| 525 | C2×Q8 | — | 18 | 1 | no | — |
| 526 | C2×Q8 | — | 18 | 1 | no | — |
| 527 | C2×Q8 | — | 36 | 1 | no | — |
| 528 | C2×Q8 | — | 36 | 1 | no | — |
| 529 | C2×D4 | — | 6 | 1 | no | — |
| 530 | C2×D4 | — | 9 | 1 | no | — |
| 531 | C2×D4 | — | 9 | 1 | no | — |
| 532 | C2×D4 | — | 9 | 1 | no | — |
| 533 | C2×D4 | — | 18 | 1 | no | — |
| 534 | C2×D4 | — | 18 | 1 | no | — |
| 535 | C2×D4 | — | 18 | 1 | no | — |
| 536 | C2×D4 | — | 18 | 1 | no | — |
| 537 | C2×D4 | — | 36 | 1 | no | — |
| 538 | C22×C4 | — | 9 | 1 | no | — |
| 539 | C22×C4 | — | 9 | 1 | no | — |
| 540 | C22×C4 | — | 18 | 1 | no | — |
| 541 | C22×C4 | — | 18 | 1 | no | — |
| 542 | C22×C4 | — | 18 | 1 | no | — |
| 543 | C22×C4 | — | 18 | 1 | no | — |
| 544 | Q16 | — | 6 | 1 | no | — |
| 545 | Q16 | — | 6 | 1 | no | — |
| 546 | Q16 | — | 18 | 1 | no | — |
| 547 | Q16 | — | 18 | 1 | no | — |
| 548 | Q16 | — | 36 | 1 | no | — |
| 549 | SD16 | — | 6 | 1 | no | — |
| 550 | SD16 | — | 6 | 1 | no | — |
| 551 | SD16 | — | 6 | 1 | no | — |
| 552 | SD16 | — | 6 | 1 | no | — |
| 553 | SD16 | — | 9 | 1 | no | — |
| 554 | SD16 | — | 9 | 1 | no | — |
| 555 | SD16 | — | 9 | 1 | no | — |
| 556 | SD16 | — | 18 | 1 | no | — |
| 557 | SD16 | — | 18 | 1 | no | — |
| 558 | SD16 | — | 18 | 1 | no | — |
| 559 | SD16 | — | 18 | 1 | no | — |
| 560 | SD16 | — | 36 | 1 | no | — |
| 561 | SD16 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 562 | M16 | — | 6 | 1 | no | — |
| 563 | M16 | — | 18 | 1 | no | — |
| 564 | C2×C8 | — | 6 | 1 | no | — |
| 565 | C2×C8 | — | 9 | 1 | no | — |
| 566 | C2×C8 | — | 9 | 1 | no | — |
| 567 | C2×C8 | — | 9 | 1 | no | — |
| 568 | C2×C8 | — | 9 | 1 | no | — |
| 569 | C2×C8 | — | 18 | 1 | no | — |
| 570 | C4⋊C4 | — | 9 | 1 | no | — |
| 571 | C4⋊C4 | — | 9 | 1 | no | — |
| 572 | C4⋊C4 | — | 9 | 1 | no | — |
| 573 | C4⋊C4 | — | 18 | 1 | no | — |
| 574 | C4⋊C4 | — | 18 | 1 | no | — |
| 575 | C4⋊C4 | — | 18 | 1 | no | — |
| 576 | C4⋊C4 | — | 18 | 1 | no | — |
| 577 | C4⋊C4 | — | 18 | 1 | no | — |
| 578 | C4⋊C4 | — | 18 | 1 | no | — |
| 579 | C22⋊C4 | — | 9 | 1 | no | — |
| 580 | C22⋊C4 | — | 9 | 1 | no | — |
| 581 | C22⋊C4 | — | 18 | 1 | no | — |
| 582 | C22⋊C4 | — | 18 | 1 | no | — |
| 583 | C22⋊C4 | — | 18 | 1 | no | — |
| 584 | C22⋊C4 | — | 18 | 1 | no | — |
| 585 | C22⋊C4 | — | 18 | 1 | no | — |
| 586 | C22⋊C4 | — | 18 | 1 | no | — |
| 587 | C22⋊C4 | — | 18 | 1 | no | — |
| 588 | C42 | — | 9 | 1 | no | — |
| 589 | C42 | — | 18 | 1 | no | — |
| 590 | C22×C3 | — | 4 | 1 | no | — |
| 591 | C22×C3 | — | 4 | 1 | no | — |
| 592 | C22×C3 | — | 6 | 1 | no | — |
| 593 | C22×C3 | — | 6 | 1 | no | — |
| 594 | C22×C3 | — | 12 | 1 | no | — |
| 595 | C22×C3 | — | 24 | 2 | no | — |
| 596 | C2×D3 | — | 2 | 1 | no | — |
| 597 | C2×D3 | — | 2 | 1 | no | — |
| 598 | C2×D3 | — | 4 | 1 | no | — |
| 599 | C2×D3 | — | 6 | 2 | no | — |
| 600 | C2×D3 | — | 6 | 1 | no | — |
| 601 | C2×D3 | — | 6 | 1 | no | — |
| 602 | C2×D3 | — | 6 | 2 | no | — |
| 603 | C2×D3 | — | 8 | 2 | no | — |
| 604 | C2×D3 | — | 12 | 1 | no | — |
| 605 | C2×D3 | — | 12 | 1 | no | — |
| 606 | C2×D3 | — | 12 | 1 | no | — |
| 607 | C2×D3 | — | 12 | 1 | no | — |
| 608 | C2×D3 | — | 24 | 1 | no | — |
| 609 | C2×D3 | — | 24 | 1 | no | — |
| 610 | C2×D3 | — | 24 | 1 | no | — |
| 611 | C2×D3 | — | 24 | 1 | no | — |
| 612 | C2×D3 | — | 24 | 1 | no | — |
| 613 | C2×D3 | — | 24 | 1 | no | — |
| 614 | C2×D3 | — | 24 | 2 | no | — |
| 615 | C2×D3 | — | 24 | 2 | no | — |
| 616 | C3×C4 | — | 2 | 1 | no | — |
| 617 | C3×C4 | — | 2 | 1 | no | — |
| 618 | C3×C4 | — | 4 | 1 | no | — |
| 619 | C3×C4 | — | 4 | 1 | no | — |
| 620 | C3×C4 | — | 6 | 1 | no | — |
| 621 | C3×C4 | — | 6 | 1 | no | — |
| 622 | C3×C4 | — | 12 | 1 | no | — |
| 623 | C3×C4 | — | 12 | 1 | no | — |
| 624 | C3×C4 | — | 12 | 1 | no | — |
| 625 | Dic3 | — | 2 | 1 | no | — |
| 626 | Dic3 | — | 2 | 1 | no | — |
| 627 | Dic3 | — | 4 | 1 | no | — |
| 628 | Dic3 | — | 4 | 1 | no | — |
| 629 | Dic3 | — | 4 | 1 | no | — |
| 630 | Dic3 | — | 6 | 1 | no | — |
| 631 | Dic3 | — | 6 | 1 | no | — |
| 632 | Dic3 | — | 12 | 1 | no | — |
| 633 | Dic3 | — | 12 | 1 | no | — |
| 634 | C32 | #3266 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 635 | C23 | — | 9 | 1 | no | — |
| 636 | C23 | — | 9 | 1 | no | — |
| 637 | C23 | — | 12 | 1 | no | — |
| 638 | C23 | — | 18 | 1 | no | — |
| 639 | C23 | — | 18 | 1 | no | — |
| 640 | C23 | — | 36 | 1 | no | — |
| 641 | C23 | — | 36 | 2 | no | — |
| 642 | C23 | — | 72 | 1 | no | — |
| 643 | Q8 | — | 6 | 1 | no | — |
| 644 | Q8 | — | 6 | 1 | no | — |
| 645 | Q8 | — | 6 | 1 | no | — |
| 646 | Q8 | — | 9 | 1 | no | — |
| 647 | Q8 | — | 12 | 1 | no | — |
| 648 | Q8 | — | 12 | 1 | no | — |
| 649 | Q8 | — | 18 | 1 | no | — |
| 650 | Q8 | — | 18 | 1 | no | — |
| 651 | Q8 | — | 18 | 1 | no | — |
| 652 | Q8 | — | 18 | 1 | no | — |
| 653 | Q8 | — | 36 | 1 | no | — |
| 654 | Q8 | — | 36 | 1 | no | — |
| 655 | Q8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 656 | D4 | — | 6 | 1 | no | — |
| 657 | D4 | — | 9 | 1 | no | — |
| 658 | D4 | — | 12 | 1 | no | — |
| 659 | D4 | — | 12 | 1 | no | — |
| 660 | D4 | — | 18 | 1 | no | — |
| 661 | D4 | — | 18 | 1 | no | — |
| 662 | D4 | — | 18 | 2 | no | — |
| 663 | D4 | — | 36 | 1 | no | — |
| 664 | D4 | — | 36 | 1 | no | — |
| 665 | D4 | — | 72 | 1 | no | — |
| 666 | D4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 667 | C2×C4 | — | 6 | 1 | no | — |
| 668 | C2×C4 | — | 6 | 1 | no | — |
| 669 | C2×C4 | — | 9 | 1 | no | — |
| 670 | C2×C4 | — | 9 | 1 | no | — |
| 671 | C2×C4 | — | 9 | 1 | no | — |
| 672 | C2×C4 | — | 9 | 1 | no | — |
| 673 | C2×C4 | — | 9 | 1 | no | — |
| 674 | C2×C4 | — | 12 | 1 | no | — |
| 675 | C2×C4 | — | 12 | 1 | no | — |
| 676 | C2×C4 | — | 12 | 1 | no | — |
| 677 | C2×C4 | — | 18 | 1 | no | — |
| 678 | C2×C4 | — | 18 | 1 | no | — |
| 679 | C2×C4 | — | 18 | 1 | no | — |
| 680 | C2×C4 | — | 18 | 1 | no | — |
| 681 | C2×C4 | — | 18 | 1 | no | — |
| 682 | C2×C4 | — | 18 | 1 | no | — |
| 683 | C2×C4 | — | 18 | 1 | no | — |
| 684 | C2×C4 | — | 18 | 1 | no | — |
| 685 | C2×C4 | — | 36 | 1 | no | — |
| 686 | C2×C4 | — | 36 | 1 | no | — |
| 687 | C2×C4 | — | 36 | 1 | no | — |
| 688 | C2×C4 | — | 72 | 1 | no | — |
| 689 | C8 | — | 6 | 1 | no | — |
| 690 | C8 | — | 6 | 1 | no | — |
| 691 | C8 | — | 9 | 1 | no | — |
| 692 | C8 | — | 18 | 1 | no | — |
| 693 | C8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 694 | C2×C3 | — | 2 | 1 | no | — |
| 695 | C2×C3 | — | 2 | 1 | no | — |
| 696 | C2×C3 | — | 6 | 2 | no | — |
| 697 | C2×C3 | — | 8 | 1 | no | — |
| 698 | C2×C3 | — | 8 | 1 | no | — |
| 699 | C2×C3 | — | 12 | 1 | no | — |
| 700 | C2×C3 | — | 24 | 1 | no | — |
| 701 | D3 | — | 2 | 2 | no | — |
| 702 | D3 | — | 4 | 1 | no | — |
| 703 | D3 | — | 6 | 1 | no | — |
| 704 | D3 | — | 6 | 1 | no | — |
| 705 | D3 | — | 6 | 1 | no | — |
| 706 | D3 | — | 6 | 1 | no | — |
| 707 | D3 | — | 8 | 1 | no | — |
| 708 | D3 | — | 24 | 1 | no | — |
| 709 | D3 | — | 24 | 1 | no | — |
| 710 | C22 | — | 2 | 1 | no | — |
| 711 | C22 | — | 6 | 1 | no | — |
| 712 | C22 | — | 6 | 1 | no | — |
| 713 | C22 | — | 9 | 2 | no | — |
| 714 | C22 | — | 9 | 1 | no | — |
| 715 | C22 | — | 12 | 1 | no | — |
| 716 | C22 | — | 18 | 1 | no | — |
| 717 | C22 | — | 18 | 1 | no | — |
| 718 | C22 | — | 18 | 1 | no | — |
| 719 | C22 | — | 18 | 1 | no | — |
| 720 | C22 | — | 24 | 2 | no | — |
| 721 | C22 | — | 36 | 1 | no | — |
| 722 | C22 | — | 36 | 1 | no | — |
| 723 | C22 | — | 36 | 1 | no | — |
| 724 | C22 | — | 36 | 1 | no | — |
| 725 | C22 | — | 72 | 2 | no | — |
| 726 | C4 | — | 2 | 1 | no | — |
| 727 | C4 | — | 6 | 1 | no | — |
| 728 | C4 | — | 6 | 1 | no | — |
| 729 | C4 | — | 9 | 1 | no | — |
| 730 | C4 | — | 12 | 1 | no | — |
| 731 | C4 | — | 12 | 1 | no | — |
| 732 | C4 | — | 12 | 1 | no | — |
| 733 | C4 | — | 18 | 1 | no | — |
| 734 | C4 | — | 18 | 1 | no | — |
| 735 | C4 | — | 18 | 1 | no | — |
| 736 | C4 | — | 36 | 1 | no | — |
| 737 | C4 | — | 36 | 1 | no | — |
| 738 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 739 | C3 | — | 2 | 1 | no | — |
| 740 | C3 | — | 2 | 1 | no | — |
| 741 | C2 | — | 4 | 1 | no | — |
| 742 | C2 | — | 6 | 2 | no | — |
| 743 | C2 | — | 9 | 1 | no | — |
| 744 | C2 | — | 9 | 1 | no | — |
| 745 | C2 | — | 12 | 1 | no | — |
| 746 | C2 | — | 24 | 1 | no | — |
| 747 | C2 | — | 36 | 1 | no | — |
| 748 | C2 | D4×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. Q8×GO+(4,𝔽2) | C2 | semidirect |
| 3. #10594742 | C2 | semidirect |
| 4. D32×SD16 | C2 | semidirect |
| 5. #10593782 | C2 | semidirect |
| 6. #10593474 | C2 | semidirect |
| 7. #10593472 | C2 | semidirect |
| 8. #10593471 | C2 | semidirect |
| 9. #10593465 | C2 | semidirect |
| 10. #10593460 | C2 | semidirect |
| 11. #10593459 | C2 | semidirect |
| 12. #10593291 | C2 | semidirect |
| 13. #10593288 | C2 | semidirect |
| 14. #10593286 | C2 | semidirect |
| 15. #10593282 | C2 | semidirect |
| 17. D32×Q8 | C22 | semidirect |
| 20. Q8×#157 | C22 | semidirect |
| 29. #64228 | C22 | semidirect |
| 32. #64222 | C22 | semidirect |
| 38. D32⋊Q8 | C22 | semidirect |
| 43. #63944 | C22 | semidirect |
| 50. #63802 | C22 | semidirect |
| 54. #63791 | C22 | semidirect |
| 56. #63784 | C22 | semidirect |
| 58. #63769 | C22 | semidirect |
| 59. #63767 | C22 | semidirect |
| 60. #63732 | C22 | semidirect |
| 61. #63730 | C22 | semidirect |
| 62. #63730 | C22 | semidirect |
| 63. #63730 | C22 | semidirect |
| 66. D32⋊C8 | C22 | semidirect |
| 123. C32×SD16 | D4 | semidirect |
| 124. #3755 | D4 | semidirect |
| 125. #3754 | D4 | semidirect |
| 126. #3744 | D4 | semidirect |
| 352. D32 | #137 | semidirect |
| 561. SD16 | GO+(4,𝔽2) | semidirect |
| 634. C32 | #3266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×GO+(4,𝔽2) | 2 |
| #10596518 | 2 |
| #10594742 | 2 |
| D32×SD16 | 2 |
| #10593782 | 2 |
| #10593474 | 2 |
| #10593472 | 2 |
| #10593471 | 2 |
| #10593465 | 2 |
| #10593460 | 2 |
| #10593459 | 2 |
| #10593291 | 2 |
| #10593288 | 2 |
| #10593286 | 2 |
| #10593282 | 2 |
| #3266 | 9 |