Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
844 conjugacy classes of subgroups.
The subgroup lattice has 794 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596524 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D4×GO+(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10594740 | 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 | #10593478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10593476 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10593471 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10593462 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10593459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10593457 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10593294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10593286 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10593285 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10593282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 17 | #64319 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | D32×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | D32×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | D32×D4 | C22 | 1 | 1 | yes | characteristic |
| 21 | Q8×#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | D4×#157 | C22 | 1 | 1 | yes | characteristic |
| 23 | #64242 | — | 2 | 1 | no | — |
| 24 | #64241 | — | 2 | 1 | no | — |
| 25 | #64241 | — | 2 | 1 | no | — |
| 26 | #64231 | C22 | 1 | 1 | yes | characteristic |
| 27 | #64230 | — | 2 | 1 | no | — |
| 28 | #64230 | C22 | 1 | 1 | yes | characteristic |
| 29 | #64230 | C22 | 1 | 1 | yes | characteristic |
| 30 | #64230 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C4×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 32 | C4×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 33 | #64227 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #64225 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #64221 | — | 2 | 1 | no | — |
| 36 | #64221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | D32⋊Q8 | — | 2 | 1 | no | — |
| 38 | D32⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | SD16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×#914 | — | 2 | 1 | no | — |
| 41 | C3×D3×SD16 | — | 2 | 1 | no | — |
| 42 | #63940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #63940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #63939 | — | 2 | 1 | no | — |
| 45 | D3×#215 | — | 2 | 1 | no | — |
| 46 | #63932 | — | 2 | 1 | no | — |
| 47 | #63930 | C22 | 1 | 1 | yes | characteristic |
| 48 | D3×#214 | — | 2 | 1 | no | — |
| 49 | #63926 | C22 | 1 | 1 | yes | characteristic |
| 50 | #63797 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #63796 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #63795 | — | 2 | 1 | no | — |
| 53 | D3×#204 | — | 2 | 1 | no | — |
| 54 | #63791 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | D32×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 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 | #63729 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #63729 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63729 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | D32⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | D32⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | D3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 68 | C2×D3×SD16 | — | 6 | 1 | no | — |
| 69 | C22×D32 | — | 2 | 1 | no | — |
| 70 | C22×D32 | — | 2 | 1 | no | — |
| 71 | C22×#157 | — | 2 | 1 | no | — |
| 72 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 73 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 74 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 75 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 76 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 77 | C2×GO+(4,𝔽2) | — | 4 | 4 | no | — |
| 78 | C2×GO+(4,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 79 | Q8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 80 | D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×#239 | — | 2 | 1 | no | — |
| 82 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 83 | C3×D3×D4 | — | 2 | 1 | no | — |
| 84 | C3×D3×D4 | — | 2 | 1 | no | — |
| 85 | #3811 | — | 2 | 1 | no | — |
| 86 | #3811 | — | 2 | 1 | no | — |
| 87 | D3×#67 | — | 4 | 1 | no | — |
| 88 | D3×#67 | — | 4 | 1 | no | — |
| 89 | #3802 | — | 2 | 1 | no | — |
| 90 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 91 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 92 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 93 | D3×D12 | — | 2 | 1 | no | — |
| 94 | D3×D12 | — | 2 | 1 | no | — |
| 95 | C4×D32 | — | 2 | 1 | no | — |
| 96 | C4×D32 | — | 2 | 1 | no | — |
| 97 | C4×D32 | C23 | 1 | 1 | yes | characteristic |
| 98 | C4×D32 | C23 | 1 | 1 | yes | characteristic |
| 99 | #3797 | — | 2 | 1 | no | — |
| 100 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 101 | #3795 | — | 2 | 1 | no | — |
| 102 | #3795 | — | 4 | 1 | no | — |
| 103 | D3×Dic6 | — | 2 | 1 | no | — |
| 104 | D3×Dic6 | — | 4 | 1 | no | — |
| 105 | C22⋊#157 | — | 2 | 1 | no | — |
| 106 | C4⋊#157 | — | 2 | 1 | no | — |
| 107 | C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 108 | C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 109 | C4×#157 | — | 2 | 1 | no | — |
| 110 | C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 111 | #3787 | C23 | 1 | 1 | yes | characteristic |
| 112 | #3775 | — | 4 | 1 | no | — |
| 113 | #3774 | — | 4 | 1 | no | — |
| 114 | #3773 | — | 2 | 1 | no | — |
| 115 | #3773 | D4 | 1 | 1 | yes | characteristic |
| 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 | — | 2 | 1 | no | — |
| 122 | D32⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 123 | D32⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 124 | C32×SD16 | D4 | 1 | 1 | yes | characteristic, complemented |
| 125 | #3755 | D4 | 1 | 1 | yes | characteristic, complemented |
| 126 | #3754 | D4 | 1 | 1 | yes | characteristic, complemented |
| 127 | #3744 | D4 | 1 | 1 | yes | characteristic, complemented |
| 128 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 129 | C3×#215 | — | 2 | 1 | no | — |
| 130 | C3×#215 | — | 2 | 1 | no | — |
| 131 | C3×#214 | — | 2 | 1 | no | — |
| 132 | C3×#213 | — | 2 | 1 | no | — |
| 133 | C3×D24 | — | 2 | 1 | no | — |
| 134 | C3×#204 | — | 2 | 1 | no | — |
| 135 | C3×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 136 | C3×D3×C8 | — | 2 | 1 | no | — |
| 137 | #3717 | — | 2 | 1 | no | — |
| 138 | #3716 | — | 2 | 1 | no | — |
| 139 | #3716 | — | 2 | 1 | no | — |
| 140 | #3715 | — | 2 | 1 | no | — |
| 141 | #3714 | — | 2 | 1 | no | — |
| 142 | #3713 | — | 2 | 1 | no | — |
| 143 | #3711 | — | 2 | 1 | no | — |
| 144 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 145 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 146 | D3×C3⋊C8 | — | 2 | 1 | no | — |
| 147 | #3265 | — | 9 | 1 | no | maximal, Sylow |
| 148 | D3×#41 | — | 6 | 1 | no | — |
| 149 | C2×D3×Q8 | — | 6 | 1 | no | — |
| 150 | C2×D3×D4 | — | 6 | 1 | no | — |
| 151 | C2×D3×D4 | — | 6 | 1 | no | — |
| 152 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 153 | C2×C3×SD16 | — | 6 | 1 | no | — |
| 154 | #949 | — | 6 | 1 | no | — |
| 155 | C2×#215 | — | 6 | 1 | no | — |
| 156 | C2×#214 | — | 6 | 1 | no | — |
| 157 | #932 | — | 6 | 1 | no | — |
| 158 | #914 | — | 2 | 1 | no | — |
| 159 | #914 | — | 6 | 1 | no | — |
| 160 | D3×SD16 | — | 2 | 1 | no | — |
| 161 | D3×SD16 | — | 6 | 1 | no | — |
| 162 | D3×SD16 | — | 6 | 1 | no | — |
| 163 | D3×SD16 | — | 6 | 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 | #911 | — | 6 | 1 | no | — |
| 171 | #911 | — | 6 | 1 | no | — |
| 172 | D3×D8 | — | 6 | 1 | no | — |
| 173 | D3×D8 | — | 6 | 1 | no | — |
| 174 | #908 | — | 6 | 1 | no | — |
| 175 | D3×M16 | — | 6 | 1 | no | — |
| 176 | C2×#204 | — | 6 | 1 | no | — |
| 177 | C2×D3×C8 | — | 6 | 1 | no | — |
| 178 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 179 | C22×C3×D3 | — | 4 | 1 | no | — |
| 180 | C22×C3×D3 | — | 4 | 1 | no | — |
| 181 | C2×D32 | — | 2 | 1 | no | — |
| 182 | C2×D32 | — | 2 | 1 | no | — |
| 183 | C2×D32 | — | 2 | 1 | no | — |
| 184 | C2×D32 | — | 4 | 1 | no | — |
| 185 | C2×D32 | — | 4 | 1 | no | — |
| 186 | C2×D32 | — | 4 | 2 | no | — |
| 187 | C2×D32 | — | 4 | 2 | no | — |
| 188 | C2×D32 | — | 8 | 1 | no | — |
| 189 | C2×D32 | — | 8 | 1 | no | — |
| 190 | C2×D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×#157 | — | 2 | 1 | no | — |
| 193 | C2×#157 | — | 2 | 1 | no | — |
| 194 | C2×#157 | — | 4 | 2 | no | — |
| 195 | C2×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 198 | GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 199 | GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 200 | GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 201 | GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 202 | GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 203 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 204 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | #638 | — | 2 | 1 | no | — |
| 206 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 208 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 209 | #634 | — | 2 | 1 | no | — |
| 210 | #634 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 211 | C3×#67 | — | 4 | 1 | no | — |
| 212 | C3×#67 | — | 4 | 1 | no | — |
| 213 | C3×D12 | — | 2 | 1 | no | — |
| 214 | C3×D12 | — | 2 | 1 | no | — |
| 215 | C3×D12 | — | 2 | 1 | no | — |
| 216 | C3×D12 | — | 4 | 1 | no | — |
| 217 | C3×C4×D3 | — | 2 | 1 | no | — |
| 218 | C3×C4×D3 | — | 2 | 1 | no | — |
| 219 | C3×C4×D3 | — | 4 | 1 | no | — |
| 220 | C3×C4×D3 | — | 4 | 1 | no | — |
| 221 | C3×Dic6 | — | 2 | 1 | no | — |
| 222 | C3×Dic6 | — | 4 | 1 | no | — |
| 223 | #627 | — | 2 | 1 | no | — |
| 224 | #627 | — | 4 | 1 | no | — |
| 225 | #626 | — | 4 | 1 | no | — |
| 226 | #626 | — | 4 | 1 | no | — |
| 227 | #625 | — | 2 | 1 | no | — |
| 228 | #625 | — | 2 | 1 | no | — |
| 229 | #625 | — | 2 | 1 | no | — |
| 230 | #625 | — | 4 | 1 | no | — |
| 231 | #624 | — | 2 | 1 | no | — |
| 232 | #624 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | #624 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | D3×Dic3 | — | 2 | 1 | no | — |
| 235 | D3×Dic3 | — | 2 | 1 | no | — |
| 236 | D3×Dic3 | — | 4 | 1 | no | — |
| 237 | D3×Dic3 | — | 4 | 1 | no | — |
| 238 | #622 | — | 2 | 1 | no | — |
| 239 | C32×C8 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 240 | C3⋊(C3⋊C8) | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 241 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 242 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 243 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 244 | C22×SD16 | — | 9 | 1 | no | — |
| 245 | #548 | — | 9 | 1 | no | — |
| 246 | D42 | — | 9 | 1 | no | — |
| 247 | #496 | — | 9 | 1 | no | — |
| 248 | #468 | — | 9 | 1 | no | — |
| 249 | #466 | — | 9 | 1 | no | — |
| 250 | #463 | — | 9 | 1 | no | — |
| 251 | #460 | — | 9 | 1 | no | — |
| 252 | #450 | — | 9 | 1 | no | — |
| 253 | #449 | — | 9 | 1 | no | — |
| 254 | #448 | — | 9 | 1 | no | — |
| 255 | #447 | — | 9 | 1 | no | — |
| 256 | #440 | — | 9 | 1 | no | — |
| 257 | #435 | — | 9 | 1 | no | — |
| 258 | C23×D3 | — | 12 | 1 | no | — |
| 259 | C23×D3 | — | 12 | 1 | no | — |
| 260 | C3×#41 | — | 6 | 1 | no | — |
| 261 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 262 | C2×C3×D4 | — | 6 | 1 | no | — |
| 263 | C2×C3×D4 | — | 6 | 1 | no | — |
| 264 | C2×#67 | — | 12 | 1 | no | — |
| 265 | C2×#67 | — | 12 | 1 | no | — |
| 266 | #239 | — | 2 | 1 | no | — |
| 267 | D3×Q8 | — | 2 | 1 | no | — |
| 268 | D3×Q8 | — | 6 | 1 | no | — |
| 269 | D3×Q8 | — | 6 | 1 | no | — |
| 270 | D3×Q8 | — | 6 | 1 | no | — |
| 271 | D3×Q8 | — | 6 | 1 | no | — |
| 272 | D3×Q8 | — | 12 | 1 | no | — |
| 273 | D3×Q8 | — | 12 | 1 | no | — |
| 274 | #237 | — | 6 | 1 | no | — |
| 275 | #237 | — | 12 | 1 | no | — |
| 276 | D3×D4 | — | 2 | 1 | no | — |
| 277 | D3×D4 | — | 2 | 1 | no | — |
| 278 | D3×D4 | — | 6 | 1 | no | — |
| 279 | D3×D4 | — | 6 | 1 | no | — |
| 280 | D3×D4 | — | 6 | 1 | no | — |
| 281 | D3×D4 | — | 6 | 1 | no | — |
| 282 | D3×D4 | — | 6 | 1 | no | — |
| 283 | D3×D4 | — | 6 | 1 | no | — |
| 284 | D3×D4 | — | 6 | 1 | no | — |
| 285 | D3×D4 | — | 12 | 1 | no | — |
| 286 | D3×D4 | — | 12 | 1 | no | — |
| 287 | D3×D4 | — | 12 | 1 | no | — |
| 288 | D3×D4 | — | 12 | 1 | no | — |
| 289 | D3×D4 | — | 12 | 1 | no | — |
| 290 | #235 | — | 6 | 1 | no | — |
| 291 | #235 | — | 12 | 1 | no | — |
| 292 | C2×D12 | — | 6 | 1 | no | — |
| 293 | C2×D12 | — | 6 | 1 | no | — |
| 294 | C2×C4×D3 | — | 6 | 1 | no | — |
| 295 | C2×C4×D3 | — | 6 | 1 | no | — |
| 296 | C2×C4×D3 | — | 12 | 1 | no | — |
| 297 | C2×C4×D3 | — | 12 | 1 | no | — |
| 298 | C2×Dic6 | — | 6 | 1 | no | — |
| 299 | C2×Dic6 | — | 12 | 1 | no | — |
| 300 | C3×SD16 | — | 2 | 1 | no | — |
| 301 | C3×SD16 | — | 2 | 1 | no | — |
| 302 | C3×SD16 | — | 6 | 1 | no | — |
| 303 | C3×SD16 | — | 6 | 1 | no | — |
| 304 | C3×SD16 | — | 6 | 1 | no | — |
| 305 | C3×SD16 | — | 6 | 1 | no | — |
| 306 | C3×D8 | — | 6 | 1 | no | — |
| 307 | C3×D8 | — | 6 | 1 | no | — |
| 308 | C3×M16 | — | 6 | 1 | no | — |
| 309 | C2×C3×C8 | — | 6 | 1 | no | — |
| 310 | #215 | — | 2 | 1 | no | — |
| 311 | #215 | — | 2 | 1 | no | — |
| 312 | #215 | — | 6 | 1 | no | — |
| 313 | #215 | — | 6 | 1 | no | — |
| 314 | #215 | — | 6 | 1 | no | — |
| 315 | #215 | — | 6 | 1 | no | — |
| 316 | #214 | — | 2 | 1 | no | — |
| 317 | #214 | — | 6 | 1 | no | — |
| 318 | #214 | — | 6 | 1 | no | — |
| 319 | #214 | — | 6 | 1 | no | — |
| 320 | #214 | — | 6 | 1 | no | — |
| 321 | #214 | — | 6 | 1 | no | — |
| 322 | #213 | — | 2 | 1 | no | — |
| 323 | #213 | — | 6 | 1 | no | — |
| 324 | #213 | — | 6 | 1 | no | — |
| 325 | #213 | — | 6 | 1 | no | — |
| 326 | #208 | — | 6 | 1 | no | — |
| 327 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 328 | D24 | — | 2 | 1 | no | — |
| 329 | D24 | — | 6 | 1 | no | — |
| 330 | #204 | — | 2 | 1 | no | — |
| 331 | #204 | — | 6 | 1 | no | — |
| 332 | #204 | — | 6 | 1 | no | — |
| 333 | #204 | — | 6 | 1 | no | — |
| 334 | #204 | — | 6 | 1 | no | — |
| 335 | #204 | — | 6 | 1 | no | — |
| 336 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 337 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 338 | D3×C8 | — | 2 | 1 | no | — |
| 339 | D3×C8 | — | 6 | 1 | no | — |
| 340 | D3×C8 | — | 6 | 1 | no | — |
| 341 | D3×C8 | — | 6 | 1 | no | — |
| 342 | D3×C8 | — | 6 | 1 | no | — |
| 343 | D3×C8 | — | 6 | 1 | no | — |
| 344 | C22×C32 | — | 2 | 1 | no | — |
| 345 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 346 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 347 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 348 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C3×D3 | — | 2 | 1 | no | — |
| 350 | C2×C3×D3 | — | 2 | 1 | no | — |
| 351 | C2×C3×D3 | — | 4 | 1 | no | — |
| 352 | C2×C3×D3 | — | 4 | 1 | no | — |
| 353 | C2×C3×D3 | — | 4 | 1 | no | — |
| 354 | C2×C3×D3 | — | 8 | 2 | no | — |
| 355 | C2×C3×D3 | — | 8 | 2 | no | — |
| 356 | D32 | — | 2 | 1 | no | — |
| 357 | D32 | — | 2 | 1 | no | — |
| 358 | D32 | — | 2 | 1 | no | — |
| 359 | D32 | — | 4 | 1 | no | — |
| 360 | D32 | — | 4 | 1 | no | — |
| 361 | D32 | — | 4 | 1 | no | — |
| 362 | D32 | — | 4 | 1 | no | — |
| 363 | D32 | — | 4 | 1 | no | — |
| 364 | D32 | — | 4 | 1 | no | — |
| 365 | D32 | — | 8 | 2 | no | — |
| 366 | D32 | — | 8 | 2 | no | — |
| 367 | D32 | AGL(1,ℤ/8) | 1 | 2 | yes | complemented |
| 368 | #157 | — | 2 | 1 | no | — |
| 369 | #157 | — | 2 | 1 | no | — |
| 370 | #157 | — | 4 | 1 | no | — |
| 371 | #157 | — | 4 | 1 | no | — |
| 372 | C32×C4 | — | 2 | 1 | no | — |
| 373 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 374 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 375 | C3⋊Dic3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 376 | C3×Dic3 | — | 2 | 1 | no | — |
| 377 | C3×Dic3 | — | 2 | 1 | no | — |
| 378 | C3×Dic3 | — | 4 | 1 | no | — |
| 379 | C2×#41 | — | 9 | 1 | no | — |
| 380 | C22×Q8 | — | 9 | 1 | no | — |
| 381 | C22×D4 | — | 9 | 1 | no | — |
| 382 | C22×D4 | — | 9 | 1 | no | — |
| 383 | C22×D4 | — | 18 | 1 | no | — |
| 384 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 385 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 386 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 387 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 388 | C2×SD16 | — | 6 | 1 | no | — |
| 389 | C2×SD16 | — | 9 | 1 | no | — |
| 390 | C2×SD16 | — | 9 | 1 | no | — |
| 391 | C2×SD16 | — | 9 | 1 | no | — |
| 392 | C2×SD16 | — | 9 | 1 | no | — |
| 393 | C2×SD16 | — | 9 | 1 | no | — |
| 394 | C2×SD16 | — | 9 | 1 | no | — |
| 395 | C2×SD16 | — | 18 | 1 | no | — |
| 396 | C2×SD16 | — | 18 | 1 | no | — |
| 397 | C2×SD16 | — | 18 | 1 | no | — |
| 398 | C2×D8 | — | 9 | 1 | no | — |
| 399 | C2×D8 | — | 9 | 1 | no | — |
| 400 | C2×D8 | — | 9 | 1 | no | — |
| 401 | C2×M16 | — | 9 | 1 | no | — |
| 402 | C22×C8 | — | 9 | 1 | no | — |
| 403 | #127 | — | 9 | 1 | no | — |
| 404 | #124 | — | 9 | 1 | no | — |
| 405 | #124 | — | 18 | 1 | no | — |
| 406 | C22⋊Q8 | — | 9 | 1 | no | — |
| 407 | C22⋊Q8 | — | 18 | 1 | no | — |
| 408 | #121 | — | 9 | 1 | no | — |
| 409 | #121 | — | 9 | 1 | no | — |
| 410 | #121 | — | 9 | 1 | no | — |
| 411 | #121 | — | 18 | 1 | no | — |
| 412 | #121 | — | 18 | 1 | no | — |
| 413 | #120 | — | 18 | 1 | no | — |
| 414 | #120 | — | 18 | 1 | no | — |
| 415 | C4×Q8 | — | 9 | 1 | no | — |
| 416 | C4×D4 | — | 9 | 1 | no | — |
| 417 | C4×D4 | — | 9 | 1 | no | — |
| 418 | C4×D4 | — | 18 | 1 | no | — |
| 419 | #107 | — | 9 | 1 | no | — |
| 420 | C4⋊C8 | — | 9 | 1 | no | — |
| 421 | #103 | — | 9 | 1 | no | — |
| 422 | #103 | — | 9 | 1 | no | — |
| 423 | #102 | — | 9 | 1 | no | — |
| 424 | #102 | — | 9 | 1 | no | — |
| 425 | #102 | — | 9 | 1 | no | — |
| 426 | #102 | — | 9 | 1 | no | — |
| 427 | C22⋊C8 | — | 9 | 1 | no | — |
| 428 | C22⋊C8 | — | 9 | 1 | no | — |
| 429 | #97 | — | 9 | 1 | no | — |
| 430 | C23×C3 | — | 12 | 1 | no | — |
| 431 | C23×C3 | — | 12 | 1 | no | — |
| 432 | C22×D3 | — | 4 | 1 | no | — |
| 433 | C22×D3 | — | 4 | 1 | no | — |
| 434 | C22×D3 | — | 6 | 1 | no | — |
| 435 | C22×D3 | — | 6 | 1 | no | — |
| 436 | C22×D3 | — | 12 | 1 | no | — |
| 437 | C22×D3 | — | 12 | 1 | no | — |
| 438 | C22×D3 | — | 12 | 1 | no | — |
| 439 | C22×D3 | — | 12 | 1 | no | — |
| 440 | C22×D3 | — | 12 | 1 | no | — |
| 441 | C22×D3 | — | 12 | 1 | no | — |
| 442 | C22×D3 | — | 12 | 1 | no | — |
| 443 | C22×D3 | — | 12 | 1 | no | — |
| 444 | C22×D3 | — | 12 | 1 | no | — |
| 445 | C22×D3 | — | 24 | 2 | no | — |
| 446 | C22×D3 | — | 24 | 2 | no | — |
| 447 | C22×D3 | — | 24 | 2 | no | — |
| 448 | C22×D3 | — | 24 | 2 | no | — |
| 449 | C3×Q8 | — | 2 | 1 | no | — |
| 450 | C3×Q8 | — | 2 | 1 | no | — |
| 451 | C3×Q8 | — | 6 | 1 | no | — |
| 452 | C3×Q8 | — | 12 | 1 | no | — |
| 453 | C3×D4 | — | 2 | 1 | no | — |
| 454 | C3×D4 | — | 2 | 1 | no | — |
| 455 | C3×D4 | — | 6 | 1 | no | — |
| 456 | C3×D4 | — | 6 | 1 | no | — |
| 457 | C3×D4 | — | 6 | 1 | no | — |
| 458 | C3×D4 | — | 12 | 1 | no | — |
| 459 | C3×D4 | — | 12 | 1 | no | — |
| 460 | C3×D4 | — | 12 | 1 | no | — |
| 461 | C2×C3×C4 | — | 6 | 1 | no | — |
| 462 | C2×C3×C4 | — | 6 | 1 | no | — |
| 463 | C2×C3×C4 | — | 12 | 1 | no | — |
| 464 | C2×C3×C4 | — | 12 | 1 | no | — |
| 465 | #67 | — | 4 | 1 | no | — |
| 466 | #67 | — | 4 | 1 | no | — |
| 467 | #67 | — | 12 | 1 | no | — |
| 468 | #67 | — | 12 | 1 | no | — |
| 469 | #67 | — | 12 | 1 | no | — |
| 470 | #67 | — | 12 | 1 | no | — |
| 471 | #67 | — | 12 | 1 | no | — |
| 472 | #67 | — | 12 | 1 | no | — |
| 473 | #67 | — | 12 | 1 | no | — |
| 474 | #67 | — | 12 | 1 | no | — |
| 475 | #67 | — | 12 | 1 | no | — |
| 476 | C2×Dic3 | — | 6 | 1 | no | — |
| 477 | C2×Dic3 | — | 6 | 1 | no | — |
| 478 | C2×Dic3 | — | 12 | 1 | no | — |
| 479 | C2×Dic3 | — | 12 | 1 | no | — |
| 480 | D12 | — | 2 | 1 | no | — |
| 481 | D12 | — | 2 | 1 | no | — |
| 482 | D12 | — | 2 | 1 | no | — |
| 483 | D12 | — | 4 | 1 | no | — |
| 484 | D12 | — | 6 | 1 | no | — |
| 485 | D12 | — | 6 | 1 | no | — |
| 486 | D12 | — | 12 | 1 | no | — |
| 487 | D12 | — | 12 | 1 | no | — |
| 488 | C4×D3 | — | 2 | 1 | no | — |
| 489 | C4×D3 | — | 2 | 1 | no | — |
| 490 | C4×D3 | — | 4 | 1 | no | — |
| 491 | C4×D3 | — | 4 | 1 | no | — |
| 492 | C4×D3 | — | 6 | 1 | no | — |
| 493 | C4×D3 | — | 6 | 1 | no | — |
| 494 | C4×D3 | — | 6 | 1 | no | — |
| 495 | C4×D3 | — | 6 | 1 | no | — |
| 496 | C4×D3 | — | 6 | 1 | no | — |
| 497 | C4×D3 | — | 6 | 1 | no | — |
| 498 | C4×D3 | — | 12 | 1 | no | — |
| 499 | C4×D3 | — | 12 | 1 | no | — |
| 500 | C4×D3 | — | 12 | 1 | no | — |
| 501 | C4×D3 | — | 12 | 1 | no | — |
| 502 | C4×D3 | — | 12 | 1 | no | — |
| 503 | Dic6 | — | 2 | 1 | no | — |
| 504 | Dic6 | — | 4 | 1 | no | — |
| 505 | Dic6 | — | 6 | 1 | no | — |
| 506 | Dic6 | — | 6 | 1 | no | — |
| 507 | Dic6 | — | 12 | 1 | no | — |
| 508 | Dic6 | — | 12 | 1 | no | — |
| 509 | Dic6 | — | 12 | 1 | no | — |
| 510 | Dic6 | — | 12 | 1 | no | — |
| 511 | Dic6 | — | 12 | 1 | no | — |
| 512 | C3×C8 | — | 2 | 1 | no | — |
| 513 | C3×C8 | — | 2 | 1 | no | — |
| 514 | C3×C8 | — | 6 | 1 | no | — |
| 515 | C3×C8 | — | 6 | 1 | no | — |
| 516 | C3⋊C8 | — | 2 | 1 | no | — |
| 517 | C3⋊C8 | — | 2 | 1 | no | — |
| 518 | C3⋊C8 | — | 6 | 1 | no | — |
| 519 | C3⋊C8 | — | 6 | 1 | no | — |
| 520 | C2×C32 | — | 4 | 1 | no | — |
| 521 | C2×C32 | D42 | 1 | 1 | yes | characteristic |
| 522 | C3⋊D3 | — | 4 | 1 | no | — |
| 523 | C3⋊D3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 524 | C3⋊D3 | #577 | 1 | 1 | yes | characteristic |
| 525 | C3×D3 | — | 2 | 2 | no | — |
| 526 | C3×D3 | — | 4 | 1 | no | — |
| 527 | C3×D3 | — | 8 | 1 | no | — |
| 528 | C3×D3 | — | 8 | 1 | no | — |
| 529 | C3×D3 | — | 8 | 1 | no | — |
| 530 | C24 | — | 18 | 1 | no | — |
| 531 | C24 | — | 18 | 1 | no | — |
| 532 | #41 | — | 6 | 1 | no | — |
| 533 | #41 | — | 18 | 1 | no | — |
| 534 | #41 | — | 36 | 1 | no | — |
| 535 | C2×Q8 | — | 6 | 1 | no | — |
| 536 | C2×Q8 | — | 9 | 1 | no | — |
| 537 | C2×Q8 | — | 9 | 1 | no | — |
| 538 | C2×Q8 | — | 18 | 1 | no | — |
| 539 | C2×Q8 | — | 18 | 1 | no | — |
| 540 | C2×Q8 | — | 36 | 1 | no | — |
| 541 | C2×D4 | — | 6 | 1 | no | — |
| 542 | C2×D4 | — | 6 | 1 | no | — |
| 543 | C2×D4 | — | 9 | 1 | no | — |
| 544 | C2×D4 | — | 9 | 1 | no | — |
| 545 | C2×D4 | — | 9 | 1 | no | — |
| 546 | C2×D4 | — | 9 | 1 | no | — |
| 547 | C2×D4 | — | 9 | 1 | no | — |
| 548 | C2×D4 | — | 18 | 1 | no | — |
| 549 | C2×D4 | — | 18 | 1 | no | — |
| 550 | C2×D4 | — | 18 | 1 | no | — |
| 551 | C2×D4 | — | 18 | 1 | no | — |
| 552 | C2×D4 | — | 18 | 1 | no | — |
| 553 | C2×D4 | — | 18 | 1 | no | — |
| 554 | C2×D4 | — | 18 | 1 | no | — |
| 555 | C2×D4 | — | 18 | 1 | no | — |
| 556 | C2×D4 | — | 18 | 1 | no | — |
| 557 | C2×D4 | — | 18 | 1 | no | — |
| 558 | C2×D4 | — | 36 | 1 | no | — |
| 559 | C2×D4 | — | 36 | 1 | no | — |
| 560 | C2×D4 | — | 36 | 4 | no | — |
| 561 | C22×C4 | — | 9 | 1 | no | — |
| 562 | C22×C4 | — | 9 | 1 | no | — |
| 563 | C22×C4 | — | 18 | 1 | no | — |
| 564 | C22×C4 | — | 18 | 1 | no | — |
| 565 | C22×C4 | — | 18 | 1 | no | — |
| 566 | SD16 | — | 6 | 1 | no | — |
| 567 | SD16 | — | 6 | 1 | no | — |
| 568 | SD16 | — | 6 | 1 | no | — |
| 569 | SD16 | — | 6 | 1 | no | — |
| 570 | SD16 | — | 9 | 1 | no | — |
| 571 | SD16 | — | 9 | 1 | no | — |
| 572 | SD16 | — | 9 | 1 | no | — |
| 573 | SD16 | — | 18 | 1 | no | — |
| 574 | SD16 | — | 18 | 1 | no | — |
| 575 | SD16 | — | 18 | 1 | no | — |
| 576 | SD16 | — | 18 | 1 | no | — |
| 577 | SD16 | — | 36 | 1 | no | — |
| 578 | SD16 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 579 | D8 | — | 6 | 1 | no | — |
| 580 | D8 | — | 6 | 1 | no | — |
| 581 | D8 | — | 18 | 1 | no | — |
| 582 | D8 | — | 18 | 1 | no | — |
| 583 | D8 | — | 36 | 1 | no | — |
| 584 | M16 | — | 6 | 1 | no | — |
| 585 | M16 | — | 18 | 1 | no | — |
| 586 | C2×C8 | — | 6 | 1 | no | — |
| 587 | C2×C8 | — | 9 | 1 | no | — |
| 588 | C2×C8 | — | 9 | 1 | no | — |
| 589 | C2×C8 | — | 9 | 1 | no | — |
| 590 | C2×C8 | — | 9 | 1 | no | — |
| 591 | C2×C8 | — | 18 | 1 | no | — |
| 592 | C4⋊C4 | — | 9 | 1 | no | — |
| 593 | C4⋊C4 | — | 9 | 1 | no | — |
| 594 | C4⋊C4 | — | 9 | 1 | no | — |
| 595 | C4⋊C4 | — | 18 | 1 | no | — |
| 596 | C4⋊C4 | — | 18 | 1 | no | — |
| 597 | C22⋊C4 | — | 9 | 1 | no | — |
| 598 | C22⋊C4 | — | 9 | 1 | no | — |
| 599 | C22⋊C4 | — | 18 | 1 | no | — |
| 600 | C22⋊C4 | — | 18 | 1 | no | — |
| 601 | C22⋊C4 | — | 18 | 1 | no | — |
| 602 | C22⋊C4 | — | 18 | 1 | no | — |
| 603 | C22⋊C4 | — | 18 | 1 | no | — |
| 604 | C22⋊C4 | — | 18 | 1 | no | — |
| 605 | C22⋊C4 | — | 18 | 1 | no | — |
| 606 | C42 | — | 9 | 1 | no | — |
| 607 | C42 | — | 18 | 1 | no | — |
| 608 | C22×C3 | — | 4 | 1 | no | — |
| 609 | C22×C3 | — | 4 | 1 | no | — |
| 610 | C22×C3 | — | 6 | 1 | no | — |
| 611 | C22×C3 | — | 6 | 1 | no | — |
| 612 | C22×C3 | — | 12 | 1 | no | — |
| 613 | C22×C3 | — | 12 | 1 | no | — |
| 614 | C22×C3 | — | 12 | 1 | no | — |
| 615 | C22×C3 | — | 24 | 2 | no | — |
| 616 | C22×C3 | — | 24 | 2 | no | — |
| 617 | C2×D3 | — | 2 | 1 | no | — |
| 618 | C2×D3 | — | 2 | 1 | no | — |
| 619 | C2×D3 | — | 4 | 1 | no | — |
| 620 | C2×D3 | — | 4 | 1 | no | — |
| 621 | C2×D3 | — | 4 | 1 | no | — |
| 622 | C2×D3 | — | 6 | 2 | no | — |
| 623 | C2×D3 | — | 6 | 1 | no | — |
| 624 | C2×D3 | — | 6 | 1 | no | — |
| 625 | C2×D3 | — | 6 | 2 | no | — |
| 626 | C2×D3 | — | 8 | 2 | no | — |
| 627 | C2×D3 | — | 8 | 2 | no | — |
| 628 | C2×D3 | — | 12 | 1 | no | — |
| 629 | C2×D3 | — | 12 | 1 | no | — |
| 630 | C2×D3 | — | 12 | 1 | no | — |
| 631 | C2×D3 | — | 12 | 1 | no | — |
| 632 | C2×D3 | — | 24 | 1 | no | — |
| 633 | C2×D3 | — | 24 | 1 | no | — |
| 634 | C2×D3 | — | 24 | 1 | no | — |
| 635 | C2×D3 | — | 24 | 1 | no | — |
| 636 | C2×D3 | — | 24 | 1 | no | — |
| 637 | C2×D3 | — | 24 | 1 | no | — |
| 638 | C2×D3 | — | 24 | 1 | no | — |
| 639 | C2×D3 | — | 24 | 1 | no | — |
| 640 | C2×D3 | — | 24 | 1 | no | — |
| 641 | C2×D3 | — | 24 | 1 | no | — |
| 642 | C2×D3 | — | 24 | 2 | no | — |
| 643 | C2×D3 | — | 24 | 2 | no | — |
| 644 | C2×D3 | — | 24 | 2 | no | — |
| 645 | C2×D3 | — | 24 | 2 | no | — |
| 646 | C3×C4 | — | 2 | 1 | no | — |
| 647 | C3×C4 | — | 2 | 1 | no | — |
| 648 | C3×C4 | — | 4 | 1 | no | — |
| 649 | C3×C4 | — | 4 | 1 | no | — |
| 650 | C3×C4 | — | 6 | 1 | no | — |
| 651 | C3×C4 | — | 6 | 1 | no | — |
| 652 | C3×C4 | — | 12 | 1 | no | — |
| 653 | Dic3 | — | 2 | 1 | no | — |
| 654 | Dic3 | — | 2 | 1 | no | — |
| 655 | Dic3 | — | 4 | 1 | no | — |
| 656 | Dic3 | — | 6 | 1 | no | — |
| 657 | Dic3 | — | 6 | 1 | no | — |
| 658 | Dic3 | — | 12 | 1 | no | — |
| 659 | Dic3 | — | 12 | 1 | no | — |
| 660 | C32 | #3265 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 661 | C23 | — | 9 | 1 | no | — |
| 662 | C23 | — | 9 | 1 | no | — |
| 663 | C23 | — | 12 | 1 | no | — |
| 664 | C23 | — | 12 | 1 | no | — |
| 665 | C23 | — | 18 | 1 | no | — |
| 666 | C23 | — | 18 | 1 | no | — |
| 667 | C23 | — | 18 | 1 | no | — |
| 668 | C23 | — | 18 | 1 | no | — |
| 669 | C23 | — | 36 | 1 | no | — |
| 670 | C23 | — | 36 | 1 | no | — |
| 671 | C23 | — | 36 | 2 | no | — |
| 672 | C23 | — | 36 | 2 | no | — |
| 673 | C23 | — | 72 | 1 | no | — |
| 674 | C23 | — | 72 | 1 | no | — |
| 675 | Q8 | — | 6 | 1 | no | — |
| 676 | Q8 | — | 9 | 1 | no | — |
| 677 | Q8 | — | 12 | 1 | no | — |
| 678 | Q8 | — | 18 | 1 | no | — |
| 679 | Q8 | — | 18 | 1 | no | — |
| 680 | Q8 | — | 36 | 1 | no | — |
| 681 | Q8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 682 | D4 | — | 6 | 1 | no | — |
| 683 | D4 | — | 6 | 1 | no | — |
| 684 | D4 | — | 6 | 1 | no | — |
| 685 | D4 | — | 9 | 1 | no | — |
| 686 | D4 | — | 12 | 1 | no | — |
| 687 | D4 | — | 12 | 1 | no | — |
| 688 | D4 | — | 12 | 1 | no | — |
| 689 | D4 | — | 18 | 1 | no | — |
| 690 | D4 | — | 18 | 1 | no | — |
| 691 | D4 | — | 18 | 1 | no | — |
| 692 | D4 | — | 18 | 1 | no | — |
| 693 | D4 | — | 18 | 2 | no | — |
| 694 | D4 | — | 36 | 1 | no | — |
| 695 | D4 | — | 36 | 1 | no | — |
| 696 | D4 | — | 36 | 1 | no | — |
| 697 | D4 | — | 36 | 2 | no | — |
| 698 | D4 | — | 36 | 2 | no | — |
| 699 | D4 | — | 36 | 2 | no | — |
| 700 | D4 | — | 36 | 2 | no | — |
| 701 | D4 | — | 72 | 1 | no | — |
| 702 | D4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 703 | C2×C4 | — | 6 | 1 | no | — |
| 704 | C2×C4 | — | 6 | 1 | no | — |
| 705 | C2×C4 | — | 9 | 1 | no | — |
| 706 | C2×C4 | — | 9 | 1 | no | — |
| 707 | C2×C4 | — | 9 | 1 | no | — |
| 708 | C2×C4 | — | 9 | 1 | no | — |
| 709 | C2×C4 | — | 9 | 1 | no | — |
| 710 | C2×C4 | — | 12 | 1 | no | — |
| 711 | C2×C4 | — | 12 | 1 | no | — |
| 712 | C2×C4 | — | 18 | 1 | no | — |
| 713 | C2×C4 | — | 18 | 1 | no | — |
| 714 | C2×C4 | — | 18 | 1 | no | — |
| 715 | C2×C4 | — | 18 | 1 | no | — |
| 716 | C2×C4 | — | 18 | 1 | no | — |
| 717 | C2×C4 | — | 18 | 1 | no | — |
| 718 | C2×C4 | — | 36 | 1 | no | — |
| 719 | C2×C4 | — | 36 | 1 | no | — |
| 720 | C2×C4 | — | 36 | 2 | no | — |
| 721 | C8 | — | 6 | 1 | no | — |
| 722 | C8 | — | 6 | 1 | no | — |
| 723 | C8 | — | 9 | 1 | no | — |
| 724 | C8 | — | 18 | 1 | no | — |
| 725 | C8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 726 | C2×C3 | — | 2 | 1 | no | — |
| 727 | C2×C3 | — | 2 | 1 | no | — |
| 728 | C2×C3 | — | 6 | 2 | no | — |
| 729 | C2×C3 | — | 8 | 1 | no | — |
| 730 | C2×C3 | — | 8 | 1 | no | — |
| 731 | C2×C3 | — | 12 | 1 | no | — |
| 732 | C2×C3 | — | 24 | 1 | no | — |
| 733 | C2×C3 | — | 24 | 1 | no | — |
| 734 | C2×C3 | — | 24 | 1 | no | — |
| 735 | D3 | — | 2 | 2 | no | — |
| 736 | D3 | — | 4 | 1 | no | — |
| 737 | D3 | — | 6 | 1 | no | — |
| 738 | D3 | — | 6 | 1 | no | — |
| 739 | D3 | — | 6 | 1 | no | — |
| 740 | D3 | — | 6 | 1 | no | — |
| 741 | D3 | — | 8 | 1 | no | — |
| 742 | D3 | — | 8 | 1 | no | — |
| 743 | D3 | — | 8 | 1 | no | — |
| 744 | D3 | — | 24 | 1 | no | — |
| 745 | D3 | — | 24 | 1 | no | — |
| 746 | C22 | — | 2 | 1 | no | — |
| 747 | C22 | — | 6 | 1 | no | — |
| 748 | C22 | — | 6 | 1 | no | — |
| 749 | C22 | — | 9 | 2 | no | — |
| 750 | C22 | — | 9 | 1 | no | — |
| 751 | C22 | — | 12 | 1 | no | — |
| 752 | C22 | — | 12 | 1 | no | — |
| 753 | C22 | — | 12 | 1 | no | — |
| 754 | C22 | — | 18 | 1 | no | — |
| 755 | C22 | — | 18 | 1 | no | — |
| 756 | C22 | — | 18 | 1 | no | — |
| 757 | C22 | — | 18 | 1 | no | — |
| 758 | C22 | — | 24 | 2 | no | — |
| 759 | C22 | — | 24 | 2 | no | — |
| 760 | C22 | — | 36 | 1 | no | — |
| 761 | C22 | — | 36 | 1 | no | — |
| 762 | C22 | — | 36 | 1 | no | — |
| 763 | C22 | — | 36 | 1 | no | — |
| 764 | C22 | — | 36 | 1 | no | — |
| 765 | C22 | — | 36 | 1 | no | — |
| 766 | C22 | — | 36 | 1 | no | — |
| 767 | C22 | — | 36 | 1 | no | — |
| 768 | C22 | — | 72 | 2 | no | — |
| 769 | C22 | — | 72 | 2 | no | — |
| 770 | C4 | — | 2 | 1 | no | — |
| 771 | C4 | — | 6 | 1 | no | — |
| 772 | C4 | — | 6 | 1 | no | — |
| 773 | C4 | — | 9 | 1 | no | — |
| 774 | C4 | — | 12 | 1 | no | — |
| 775 | C4 | — | 18 | 1 | no | — |
| 776 | C4 | — | 18 | 1 | no | — |
| 777 | C4 | — | 18 | 1 | no | — |
| 778 | C4 | — | 36 | 1 | no | — |
| 779 | C4 | — | 36 | 1 | no | — |
| 780 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 781 | C3 | — | 2 | 1 | no | — |
| 782 | C3 | — | 2 | 1 | no | — |
| 783 | C2 | — | 4 | 1 | no | — |
| 784 | C2 | — | 6 | 2 | no | — |
| 785 | C2 | — | 9 | 1 | no | — |
| 786 | C2 | — | 9 | 1 | no | — |
| 787 | C2 | — | 12 | 1 | no | — |
| 788 | C2 | — | 24 | 1 | no | — |
| 789 | C2 | — | 24 | 1 | no | — |
| 790 | C2 | — | 24 | 1 | no | — |
| 791 | C2 | — | 36 | 1 | no | — |
| 792 | 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. #10596524 | C2 | semidirect |
| 2. D4×GO+(4,𝔽2) | C2 | semidirect |
| 3. #10594740 | C2 | semidirect |
| 4. D32×SD16 | C2 | semidirect |
| 5. #10593782 | C2 | semidirect |
| 6. #10593478 | C2 | semidirect |
| 7. #10593476 | C2 | semidirect |
| 8. #10593471 | C2 | semidirect |
| 9. #10593462 | C2 | semidirect |
| 10. #10593459 | C2 | semidirect |
| 11. #10593457 | C2 | semidirect |
| 12. #10593294 | C2 | semidirect |
| 13. #10593286 | C2 | semidirect |
| 14. #10593285 | C2 | semidirect |
| 15. #10593282 | C2 | semidirect |
| 17. #64319 | C22 | semidirect |
| 18. D32×Q8 | C22 | semidirect |
| 21. Q8×#157 | C22 | semidirect |
| 30. #64230 | C22 | semidirect |
| 33. #64227 | C22 | semidirect |
| 34. #64225 | C22 | semidirect |
| 36. #64221 | C22 | semidirect |
| 38. D32⋊Q8 | C22 | semidirect |
| 42. #63940 | C22 | semidirect |
| 43. #63940 | C22 | semidirect |
| 50. #63797 | C22 | semidirect |
| 51. #63796 | C22 | semidirect |
| 54. #63791 | C22 | semidirect |
| 55. D32×C8 | C22 | semidirect |
| 56. #63784 | C22 | semidirect |
| 58. #63769 | C22 | semidirect |
| 59. #63767 | C22 | semidirect |
| 60. #63732 | C22 | semidirect |
| 61. #63730 | C22 | semidirect |
| 62. #63729 | C22 | semidirect |
| 63. #63729 | C22 | semidirect |
| 64. #63729 | C22 | semidirect |
| 65. D32⋊C8 | C22 | semidirect |
| 66. D32⋊C8 | C22 | semidirect |
| 124. C32×SD16 | D4 | semidirect |
| 125. #3755 | D4 | semidirect |
| 126. #3754 | D4 | semidirect |
| 127. #3744 | D4 | semidirect |
| 203. C32×Q8 | C2×D4 | semidirect |
| 210. #634 | C2×D4 | semidirect |
| 239. C32×C8 | C2×D4 | semidirect |
| 240. C3⋊(C3⋊C8) | C2×D4 | semidirect |
| 367. D32 | AGL(1,ℤ/8) | semidirect |
| 578. SD16 | GO+(4,𝔽2) | semidirect |
| 660. C32 | #3265 | semidirect |
| 681. Q8 | C2×GO+(4,𝔽2) | semidirect |
| 725. C8 | C2×GO+(4,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596524 | 2 |
| D4×GO+(4,𝔽2) | 2 |
| #10594740 | 2 |
| D32×SD16 | 2 |
| #10593782 | 2 |
| #10593478 | 2 |
| #10593476 | 2 |
| #10593471 | 2 |
| #10593462 | 2 |
| #10593459 | 2 |
| #10593457 | 2 |
| #10593294 | 2 |
| #10593286 | 2 |
| #10593285 | 2 |
| #10593282 | 2 |
| #3265 | 9 |