Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1290 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 1290 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 | #10596695 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596512 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#64224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595458 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10593842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10593483 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10593475 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10593469 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10593463 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10593323 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10593313 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×D3×#41 | — | 2 | 1 | no | — |
| 14 | #64320 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #64316 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #64315 | — | 2 | 1 | no | — |
| 17 | #64314 | — | 2 | 1 | no | — |
| 18 | #64314 | — | 2 | 2 | no | — |
| 19 | #64313 | — | 2 | 1 | no | — |
| 20 | #64313 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #64309 | — | 2 | 1 | no | — |
| 22 | #64309 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #64306 | — | 2 | 1 | no | — |
| 24 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 25 | D3×#235 | — | 2 | 1 | no | — |
| 26 | D3×#235 | — | 2 | 2 | no | — |
| 27 | C2×#3802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#3798 | — | 2 | 1 | no | — |
| 29 | C2×#3798 | C22 | 1 | 1 | yes | characteristic |
| 30 | #64286 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#3788 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #64241 | — | 2 | 2 | no | — |
| 33 | C2×#3775 | — | 2 | 1 | no | — |
| 34 | C2×#3774 | — | 2 | 1 | no | — |
| 35 | #64231 | C22 | 1 | 2 | yes | complemented |
| 36 | #64230 | — | 2 | 2 | no | — |
| 37 | #64224 | — | 2 | 1 | no | — |
| 38 | #64224 | — | 2 | 1 | no | — |
| 39 | #64224 | C22 | 1 | 2 | yes | complemented |
| 40 | #64224 | C22 | 1 | 2 | yes | complemented |
| 41 | #64221 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#949 | — | 2 | 1 | no | — |
| 43 | #63941 | C22 | 1 | 2 | yes | complemented |
| 44 | #63940 | — | 2 | 1 | no | — |
| 45 | #63927 | C22 | 1 | 2 | yes | complemented |
| 46 | #63926 | — | 2 | 1 | no | — |
| 47 | #63830 | — | 2 | 1 | no | — |
| 48 | #63818 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #63785 | C22 | 1 | 2 | yes | complemented |
| 50 | #63783 | C22 | 1 | 2 | yes | complemented |
| 51 | #63731 | C22 | 1 | 2 | yes | complemented |
| 52 | #63731 | C22 | 1 | 2 | yes | complemented |
| 53 | #63728 | C22 | 1 | 2 | yes | complemented |
| 54 | #63727 | C22 | 1 | 2 | yes | complemented |
| 55 | #5964 | — | 6 | 1 | no | — |
| 56 | D3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 57 | C22×D32 | — | 2 | 1 | no | — |
| 58 | C2×GO+(4,𝔽2) | — | 2 | 4 | no | — |
| 59 | C32×#41 | D4 | 1 | 1 | yes | characteristic, complemented |
| 60 | #3832 | C23 | 1 | 1 | yes | characteristic |
| 61 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 62 | #3830 | — | 2 | 1 | no | — |
| 63 | #3830 | C23 | 1 | 1 | yes | characteristic |
| 64 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 65 | D4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 66 | #3828 | — | 2 | 1 | no | — |
| 67 | #3828 | D4 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 69 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 70 | C3×#239 | — | 2 | 1 | no | — |
| 71 | C3×D3×Q8 | — | 2 | 1 | no | — |
| 72 | C3×#237 | — | 2 | 2 | no | — |
| 73 | C3×#237 | — | 2 | 1 | no | — |
| 74 | C3×D3×D4 | — | 2 | 2 | no | — |
| 75 | C3×D3×D4 | — | 2 | 1 | no | — |
| 76 | C3×#235 | — | 2 | 2 | no | — |
| 77 | C3×#235 | — | 2 | 1 | no | — |
| 78 | C2×C3×D12 | — | 2 | 1 | no | — |
| 79 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 80 | C2×C3×C4×D3 | — | 2 | 1 | no | — |
| 81 | #3811 | — | 2 | 2 | no | — |
| 82 | #3811 | D4 | 1 | 2 | yes | — |
| 83 | D3×#67 | — | 2 | 2 | no | — |
| 84 | D3×#67 | — | 2 | 2 | no | — |
| 85 | D3×#67 | — | 2 | 2 | no | — |
| 86 | C2×#627 | — | 2 | 1 | no | — |
| 87 | C2×#627 | D4 | 1 | 1 | yes | characteristic, complemented |
| 88 | C2×#626 | — | 2 | 2 | no | — |
| 89 | C2×#626 | — | 2 | 1 | no | — |
| 90 | C2×#625 | — | 2 | 1 | no | — |
| 91 | C2×#625 | — | 2 | 1 | no | — |
| 92 | C2×#625 | D4 | 1 | 1 | yes | characteristic, complemented |
| 93 | #3805 | — | 2 | 1 | no | — |
| 94 | #3805 | — | 2 | 1 | no | — |
| 95 | #3805 | — | 2 | 1 | no | — |
| 96 | #3804 | — | 2 | 2 | no | — |
| 97 | #3804 | — | 2 | 2 | no | — |
| 98 | #3804 | — | 2 | 2 | no | — |
| 99 | #3802 | — | 2 | 1 | no | — |
| 100 | #3802 | — | 2 | 1 | no | — |
| 101 | #3802 | — | 2 | 1 | no | — |
| 102 | #3802 | — | 2 | 1 | no | — |
| 103 | #3802 | C23 | 1 | 2 | yes | — |
| 104 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 105 | D3×D12 | — | 2 | 2 | no | — |
| 106 | D3×D12 | — | 2 | 1 | no | — |
| 107 | C4×D32 | — | 2 | 2 | no | — |
| 108 | C4×D32 | D4 | 1 | 2 | yes | — |
| 109 | #3799 | — | 2 | 1 | no | — |
| 110 | #3799 | — | 2 | 2 | no | — |
| 111 | #3798 | — | 2 | 2 | no | — |
| 112 | #3798 | — | 2 | 2 | no | — |
| 113 | #3798 | — | 2 | 1 | no | — |
| 114 | #3798 | — | 2 | 1 | no | — |
| 115 | #3798 | — | 2 | 1 | no | — |
| 116 | #3798 | — | 2 | 1 | no | — |
| 117 | #3798 | — | 2 | 1 | no | — |
| 118 | #3798 | D4 | 1 | 1 | yes | characteristic, complemented |
| 119 | #3798 | D4 | 1 | 1 | yes | characteristic, complemented |
| 120 | #3798 | C23 | 1 | 1 | yes | characteristic |
| 121 | #3798 | C23 | 1 | 1 | yes | characteristic |
| 122 | #3797 | — | 2 | 1 | no | — |
| 123 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 124 | #3796 | — | 2 | 2 | no | — |
| 125 | #3796 | — | 2 | 1 | no | — |
| 126 | #3795 | — | 2 | 2 | no | — |
| 127 | #3795 | — | 2 | 1 | no | — |
| 128 | D3×Dic6 | — | 2 | 2 | no | — |
| 129 | D3×Dic6 | — | 2 | 1 | no | — |
| 130 | C22⋊#157 | — | 2 | 1 | no | — |
| 131 | C2×#622 | — | 2 | 1 | no | — |
| 132 | C4⋊#157 | — | 2 | 1 | no | — |
| 133 | C4×#157 | C23 | 1 | 2 | yes | — |
| 134 | #3788 | — | 2 | 1 | no | — |
| 135 | #3788 | C23 | 1 | 2 | yes | — |
| 136 | #3775 | — | 2 | 2 | no | — |
| 137 | #3775 | — | 2 | 2 | no | — |
| 138 | #3774 | — | 2 | 2 | no | — |
| 139 | #3774 | — | 2 | 2 | no | — |
| 140 | D32⋊C4 | — | 2 | 4 | no | — |
| 141 | C3×#215 | — | 2 | 2 | no | — |
| 142 | C3×#213 | — | 2 | 2 | no | — |
| 143 | C3×#208 | — | 2 | 1 | no | — |
| 144 | #3716 | — | 2 | 2 | no | — |
| 145 | #3714 | — | 2 | 2 | no | — |
| 146 | #3712 | C23 | 1 | 2 | yes | — |
| 147 | #3710 | — | 2 | 1 | no | — |
| 148 | #3021 | — | 9 | 1 | no | maximal, Sylow |
| 149 | C2×C3×#41 | — | 6 | 1 | no | — |
| 150 | #1010 | — | 6 | 1 | no | — |
| 151 | #1010 | — | 6 | 2 | no | — |
| 152 | #1010 | — | 6 | 1 | no | — |
| 153 | #1009 | — | 6 | 1 | no | — |
| 154 | #1009 | — | 6 | 2 | no | — |
| 155 | #1009 | — | 6 | 1 | no | — |
| 156 | D3×#41 | — | 2 | 1 | no | — |
| 157 | D3×#41 | — | 6 | 1 | no | — |
| 158 | D3×#41 | — | 6 | 1 | no | — |
| 159 | D3×#41 | — | 6 | 1 | no | — |
| 160 | D3×#41 | — | 6 | 2 | no | — |
| 161 | D3×#41 | — | 6 | 1 | no | — |
| 162 | D3×#41 | — | 6 | 2 | no | — |
| 163 | #1007 | — | 6 | 1 | no | — |
| 164 | #1007 | — | 6 | 1 | no | — |
| 165 | #1004 | — | 6 | 1 | no | — |
| 166 | #1004 | — | 6 | 2 | no | — |
| 167 | #1004 | — | 6 | 2 | no | — |
| 168 | #1004 | — | 6 | 1 | no | — |
| 169 | C2×D3×D4 | — | 6 | 1 | no | — |
| 170 | C2×#235 | — | 6 | 1 | no | — |
| 171 | C2×#235 | — | 6 | 2 | no | — |
| 172 | C2×#235 | — | 6 | 2 | no | — |
| 173 | C2×#235 | — | 6 | 1 | no | — |
| 174 | C3×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 175 | #949 | — | 2 | 1 | no | — |
| 176 | #932 | — | 6 | 1 | no | — |
| 177 | #914 | — | 6 | 2 | no | — |
| 178 | D3×SD16 | — | 6 | 2 | no | — |
| 179 | #911 | — | 6 | 2 | no | — |
| 180 | D3×D8 | — | 6 | 2 | no | — |
| 181 | #908 | — | 6 | 1 | no | — |
| 182 | D3×M16 | — | 6 | 1 | no | — |
| 183 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 184 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C22×C3×D3 | — | 2 | 2 | no | — |
| 186 | C22×C3×D3 | — | 2 | 1 | no | — |
| 187 | C22×C3×D3 | — | 4 | 1 | no | — |
| 188 | C2×D32 | — | 2 | 2 | no | — |
| 189 | C2×D32 | — | 2 | 2 | no | — |
| 190 | C2×D32 | — | 4 | 1 | no | — |
| 191 | C2×D32 | — | 8 | 2 | no | — |
| 192 | C2×D32 | C2×D4 | 1 | 2 | yes | — |
| 193 | C2×#157 | — | 2 | 2 | no | — |
| 194 | GO+(4,𝔽2) | — | 8 | 4 | no | — |
| 195 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C32×D4 | — | 2 | 1 | no | — |
| 197 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×C32×C4 | — | 2 | 1 | no | — |
| 199 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | #638 | — | 2 | 1 | no | — |
| 201 | #638 | — | 2 | 1 | no | — |
| 202 | #638 | — | 2 | 1 | no | — |
| 203 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 204 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 206 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 208 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 209 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 210 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 214 | #634 | — | 2 | 1 | no | — |
| 215 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C3×#67 | — | 2 | 2 | no | — |
| 217 | C3×#67 | — | 2 | 2 | no | — |
| 218 | C3×#67 | — | 2 | 2 | no | — |
| 219 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 220 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 221 | C3×D12 | — | 2 | 2 | no | — |
| 222 | C3×D12 | — | 2 | 1 | no | — |
| 223 | C3×D12 | — | 2 | 2 | no | — |
| 224 | C3×D12 | — | 4 | 1 | no | — |
| 225 | C3×C4×D3 | — | 2 | 2 | no | — |
| 226 | C3×C4×D3 | — | 2 | 2 | no | — |
| 227 | C3×C4×D3 | — | 2 | 1 | no | — |
| 228 | C3×C4×D3 | — | 2 | 2 | no | — |
| 229 | C3×C4×D3 | — | 2 | 1 | no | — |
| 230 | C3×C4×D3 | — | 2 | 1 | no | — |
| 231 | C3×C4×D3 | — | 2 | 1 | no | — |
| 232 | C3×Dic6 | — | 2 | 2 | no | — |
| 233 | C3×Dic6 | — | 2 | 1 | no | — |
| 234 | #627 | — | 2 | 2 | no | — |
| 235 | #627 | — | 2 | 1 | no | — |
| 236 | #627 | — | 2 | 1 | no | — |
| 237 | #627 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | #627 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | #626 | — | 2 | 2 | no | — |
| 240 | #626 | — | 2 | 2 | no | — |
| 241 | #626 | — | 2 | 2 | no | — |
| 242 | #626 | — | 2 | 1 | no | — |
| 243 | #626 | — | 2 | 1 | no | — |
| 244 | #626 | — | 2 | 1 | no | — |
| 245 | #626 | — | 2 | 1 | no | — |
| 246 | #625 | — | 2 | 2 | no | — |
| 247 | #625 | — | 2 | 1 | no | — |
| 248 | #625 | — | 2 | 1 | no | — |
| 249 | #625 | — | 2 | 2 | no | — |
| 250 | #625 | — | 4 | 1 | no | — |
| 251 | #625 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | #625 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | #624 | — | 2 | 2 | no | — |
| 254 | #624 | C2×D4 | 1 | 2 | yes | — |
| 255 | D3×Dic3 | — | 2 | 2 | no | — |
| 256 | D3×Dic3 | — | 2 | 2 | no | — |
| 257 | D3×Dic3 | — | 2 | 2 | no | — |
| 258 | #622 | — | 2 | 2 | no | — |
| 259 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 260 | #585 | — | 9 | 1 | no | — |
| 261 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 262 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 263 | #535 | — | 9 | 1 | no | — |
| 264 | #454 | — | 9 | 2 | no | — |
| 265 | #454 | — | 9 | 2 | no | — |
| 266 | #453 | — | 9 | 2 | no | — |
| 267 | #453 | — | 9 | 2 | no | — |
| 268 | #421 | — | 9 | 1 | no | — |
| 269 | #421 | — | 9 | 1 | no | — |
| 270 | #413 | — | 9 | 1 | no | — |
| 271 | C23×D3 | — | 12 | 1 | no | — |
| 272 | C3×#41 | — | 2 | 1 | no | — |
| 273 | C3×#41 | — | 2 | 1 | no | — |
| 274 | C3×#41 | — | 6 | 2 | no | — |
| 275 | C3×#41 | — | 6 | 1 | no | — |
| 276 | C3×#41 | — | 6 | 2 | no | — |
| 277 | C3×#41 | — | 6 | 1 | no | — |
| 278 | C3×#41 | — | 6 | 1 | no | — |
| 279 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 280 | C2×C3×D4 | — | 6 | 1 | no | — |
| 281 | C2×C3×D4 | — | 6 | 2 | no | — |
| 282 | C2×C3×D4 | — | 6 | 1 | no | — |
| 283 | C22×C3×C4 | — | 6 | 2 | no | — |
| 284 | C22×C3×C4 | — | 6 | 1 | no | — |
| 285 | C2×#67 | — | 6 | 1 | no | — |
| 286 | C2×#67 | — | 6 | 1 | no | — |
| 287 | C2×#67 | — | 6 | 2 | no | — |
| 288 | C2×#67 | — | 6 | 2 | no | — |
| 289 | C2×#67 | — | 6 | 2 | no | — |
| 290 | C2×#67 | — | 6 | 2 | no | — |
| 291 | C2×#67 | — | 6 | 2 | no | — |
| 292 | C2×#67 | — | 12 | 1 | no | — |
| 293 | #239 | — | 2 | 1 | no | — |
| 294 | #239 | — | 6 | 1 | no | — |
| 295 | #239 | — | 6 | 1 | no | — |
| 296 | #239 | — | 6 | 2 | no | — |
| 297 | #239 | — | 6 | 1 | no | — |
| 298 | #239 | — | 6 | 1 | no | — |
| 299 | #239 | — | 6 | 2 | no | — |
| 300 | D3×Q8 | — | 2 | 1 | no | — |
| 301 | D3×Q8 | — | 6 | 1 | no | — |
| 302 | D3×Q8 | — | 6 | 1 | no | — |
| 303 | D3×Q8 | — | 6 | 1 | no | — |
| 304 | D3×Q8 | — | 6 | 2 | no | — |
| 305 | D3×Q8 | — | 6 | 1 | no | — |
| 306 | D3×Q8 | — | 6 | 2 | no | — |
| 307 | #237 | — | 2 | 2 | no | — |
| 308 | #237 | — | 2 | 1 | no | — |
| 309 | #237 | — | 6 | 1 | no | — |
| 310 | #237 | — | 6 | 1 | no | — |
| 311 | #237 | — | 6 | 1 | no | — |
| 312 | #237 | — | 6 | 2 | no | — |
| 313 | #237 | — | 6 | 1 | no | — |
| 314 | #237 | — | 6 | 2 | no | — |
| 315 | #237 | — | 6 | 2 | no | — |
| 316 | #237 | — | 6 | 2 | no | — |
| 317 | #237 | — | 6 | 2 | no | — |
| 318 | #237 | — | 6 | 2 | no | — |
| 319 | #237 | — | 6 | 2 | no | — |
| 320 | #237 | — | 6 | 2 | no | — |
| 321 | #237 | — | 6 | 2 | no | — |
| 322 | #237 | — | 12 | 1 | no | — |
| 323 | D3×D4 | — | 2 | 2 | no | — |
| 324 | D3×D4 | — | 2 | 1 | no | — |
| 325 | D3×D4 | — | 6 | 1 | no | — |
| 326 | D3×D4 | — | 6 | 2 | no | — |
| 327 | D3×D4 | — | 6 | 2 | no | — |
| 328 | D3×D4 | — | 6 | 1 | no | — |
| 329 | D3×D4 | — | 6 | 1 | no | — |
| 330 | D3×D4 | — | 6 | 1 | no | — |
| 331 | D3×D4 | — | 6 | 2 | no | — |
| 332 | D3×D4 | — | 6 | 2 | no | — |
| 333 | D3×D4 | — | 6 | 2 | no | — |
| 334 | D3×D4 | — | 6 | 2 | no | — |
| 335 | D3×D4 | — | 6 | 2 | no | — |
| 336 | D3×D4 | — | 6 | 2 | no | — |
| 337 | D3×D4 | — | 6 | 2 | no | — |
| 338 | D3×D4 | — | 6 | 2 | no | — |
| 339 | D3×D4 | — | 6 | 2 | no | — |
| 340 | D3×D4 | — | 12 | 1 | no | — |
| 341 | D3×D4 | — | 12 | 1 | no | — |
| 342 | D3×D4 | — | 12 | 1 | no | — |
| 343 | #235 | — | 2 | 2 | no | — |
| 344 | #235 | — | 2 | 1 | no | — |
| 345 | #235 | — | 6 | 1 | no | — |
| 346 | #235 | — | 6 | 1 | no | — |
| 347 | #235 | — | 6 | 1 | no | — |
| 348 | #235 | — | 6 | 1 | no | — |
| 349 | #235 | — | 6 | 1 | no | — |
| 350 | #235 | — | 6 | 1 | no | — |
| 351 | #235 | — | 6 | 2 | no | — |
| 352 | #235 | — | 6 | 1 | no | — |
| 353 | #235 | — | 6 | 1 | no | — |
| 354 | #235 | — | 6 | 2 | no | — |
| 355 | #235 | — | 6 | 1 | no | — |
| 356 | #235 | — | 6 | 2 | no | — |
| 357 | #235 | — | 6 | 2 | no | — |
| 358 | #235 | — | 6 | 1 | no | — |
| 359 | #235 | — | 6 | 2 | no | — |
| 360 | #235 | — | 6 | 2 | no | — |
| 361 | #235 | — | 6 | 1 | no | — |
| 362 | #235 | — | 6 | 2 | no | — |
| 363 | #235 | — | 6 | 2 | no | — |
| 364 | #235 | — | 6 | 1 | no | — |
| 365 | #235 | — | 6 | 2 | no | — |
| 366 | #235 | — | 6 | 2 | no | — |
| 367 | #235 | — | 6 | 2 | no | — |
| 368 | #235 | — | 6 | 2 | no | — |
| 369 | #235 | — | 6 | 2 | no | — |
| 370 | #235 | — | 12 | 1 | no | — |
| 371 | C2×D12 | — | 2 | 1 | no | — |
| 372 | C2×D12 | — | 6 | 1 | no | — |
| 373 | C2×D12 | — | 6 | 2 | no | — |
| 374 | C2×D12 | — | 6 | 1 | no | — |
| 375 | C2×D12 | — | 6 | 2 | no | — |
| 376 | C2×C4×D3 | — | 2 | 2 | no | — |
| 377 | C2×C4×D3 | — | 2 | 1 | no | — |
| 378 | C2×C4×D3 | — | 6 | 2 | no | — |
| 379 | C2×C4×D3 | — | 6 | 1 | no | — |
| 380 | C2×C4×D3 | — | 6 | 1 | no | — |
| 381 | C2×C4×D3 | — | 6 | 2 | no | — |
| 382 | C2×C4×D3 | — | 6 | 2 | no | — |
| 383 | C2×C4×D3 | — | 6 | 2 | no | — |
| 384 | C2×C4×D3 | — | 12 | 1 | no | — |
| 385 | C2×Dic6 | — | 6 | 1 | no | — |
| 386 | C2×Dic6 | — | 6 | 1 | no | — |
| 387 | C2×Dic6 | — | 6 | 2 | no | — |
| 388 | C2×Dic6 | — | 6 | 2 | no | — |
| 389 | C3×SD16 | — | 6 | 2 | no | — |
| 390 | C3×D8 | — | 6 | 2 | no | — |
| 391 | C3×M16 | — | 6 | 1 | no | — |
| 392 | #215 | — | 2 | 2 | no | — |
| 393 | #214 | — | 6 | 2 | no | — |
| 394 | #213 | — | 2 | 2 | no | — |
| 395 | #213 | — | 6 | 2 | no | — |
| 396 | #208 | — | 2 | 1 | no | — |
| 397 | D24 | — | 6 | 2 | no | — |
| 398 | #204 | — | 6 | 2 | no | — |
| 399 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 400 | D3×C8 | — | 6 | 2 | no | — |
| 401 | C22×C32 | — | 2 | 1 | no | — |
| 402 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 403 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 404 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 405 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 406 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 407 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 408 | C2×C3×D3 | — | 2 | 2 | no | — |
| 409 | C2×C3×D3 | — | 2 | 1 | no | — |
| 410 | C2×C3×D3 | — | 2 | 1 | no | — |
| 411 | C2×C3×D3 | — | 4 | 2 | no | — |
| 412 | C2×C3×D3 | — | 8 | 1 | no | — |
| 413 | C2×C3×D3 | — | 8 | 2 | no | — |
| 414 | C2×C3×D3 | — | 8 | 2 | no | — |
| 415 | D32 | — | 4 | 2 | no | — |
| 416 | D32 | — | 4 | 4 | no | — |
| 417 | D32 | — | 8 | 2 | no | — |
| 418 | D32 | — | 8 | 2 | no | — |
| 419 | #157 | — | 4 | 2 | no | — |
| 420 | C32×C4 | — | 2 | 1 | no | — |
| 421 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 422 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 423 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 424 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 425 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 426 | C3×Dic3 | — | 2 | 1 | no | — |
| 427 | C3×Dic3 | — | 2 | 2 | no | — |
| 428 | C3×Dic3 | — | 2 | 1 | no | — |
| 429 | 2−1+4 | — | 9 | 1 | no | — |
| 430 | 2−1+4 | — | 9 | 1 | no | — |
| 431 | 2−1+4 | — | 18 | 1 | no | — |
| 432 | 2−1+4 | — | 18 | 1 | no | — |
| 433 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 434 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 435 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 436 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 437 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 438 | C2×#41 | — | 6 | 1 | no | — |
| 439 | C2×#41 | — | 9 | 1 | no | — |
| 440 | C2×#41 | — | 9 | 1 | no | — |
| 441 | C2×#41 | — | 9 | 1 | no | — |
| 442 | C2×#41 | — | 18 | 1 | no | — |
| 443 | C2×#41 | — | 18 | 2 | no | — |
| 444 | C2×#41 | — | 18 | 1 | no | — |
| 445 | C2×#41 | — | 18 | 1 | no | — |
| 446 | C22×D4 | — | 9 | 1 | no | — |
| 447 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 448 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 449 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 450 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 451 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 452 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 453 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 454 | AGL(1,ℤ/8) | — | 18 | 1 | no | — |
| 455 | C2×SD16 | — | 18 | 1 | no | — |
| 456 | C2×SD16 | — | 18 | 1 | no | — |
| 457 | C2×D8 | — | 18 | 1 | no | — |
| 458 | C2×D8 | — | 18 | 1 | no | — |
| 459 | C2×M16 | — | 9 | 1 | no | — |
| 460 | C2×M16 | — | 9 | 1 | no | — |
| 461 | #127 | — | 9 | 2 | no | — |
| 462 | #124 | — | 9 | 2 | no | — |
| 463 | #121 | — | 18 | 2 | no | — |
| 464 | #120 | — | 18 | 2 | no | — |
| 465 | #117 | — | 9 | 1 | no | — |
| 466 | #104 | — | 9 | 2 | no | — |
| 467 | #104 | — | 9 | 2 | no | — |
| 468 | #104 | — | 9 | 2 | no | — |
| 469 | #104 | — | 9 | 2 | no | — |
| 470 | #101 | — | 9 | 2 | no | — |
| 471 | #100 | — | 9 | 2 | no | — |
| 472 | C23×C3 | — | 6 | 2 | no | — |
| 473 | C23×C3 | — | 6 | 1 | no | — |
| 474 | C23×C3 | — | 12 | 1 | no | — |
| 475 | C22×D3 | — | 2 | 2 | no | — |
| 476 | C22×D3 | — | 2 | 1 | no | — |
| 477 | C22×D3 | — | 4 | 1 | no | — |
| 478 | C22×D3 | — | 6 | 2 | no | — |
| 479 | C22×D3 | — | 6 | 1 | no | — |
| 480 | C22×D3 | — | 6 | 1 | no | — |
| 481 | C22×D3 | — | 6 | 2 | no | — |
| 482 | C22×D3 | — | 6 | 2 | no | — |
| 483 | C22×D3 | — | 6 | 2 | no | — |
| 484 | C22×D3 | — | 12 | 2 | no | — |
| 485 | C22×D3 | — | 12 | 1 | no | — |
| 486 | C22×D3 | — | 12 | 2 | no | — |
| 487 | C22×D3 | — | 24 | 4 | no | — |
| 488 | C3×Q8 | — | 2 | 1 | no | — |
| 489 | C3×Q8 | — | 2 | 1 | no | — |
| 490 | C3×Q8 | — | 6 | 2 | no | — |
| 491 | C3×Q8 | — | 6 | 1 | no | — |
| 492 | C3×D4 | — | 2 | 2 | no | — |
| 493 | C3×D4 | — | 2 | 1 | no | — |
| 494 | C3×D4 | — | 2 | 1 | no | — |
| 495 | C3×D4 | — | 4 | 1 | no | — |
| 496 | C3×D4 | — | 6 | 2 | no | — |
| 497 | C3×D4 | — | 6 | 1 | no | — |
| 498 | C3×D4 | — | 6 | 2 | no | — |
| 499 | C3×D4 | — | 6 | 2 | no | — |
| 500 | C3×D4 | — | 6 | 2 | no | — |
| 501 | C3×D4 | — | 6 | 2 | no | — |
| 502 | C3×D4 | — | 12 | 1 | no | — |
| 503 | C2×C3×C4 | — | 2 | 2 | no | — |
| 504 | C2×C3×C4 | — | 2 | 1 | no | — |
| 505 | C2×C3×C4 | — | 2 | 1 | no | — |
| 506 | C2×C3×C4 | — | 4 | 1 | no | — |
| 507 | C2×C3×C4 | — | 6 | 2 | no | — |
| 508 | C2×C3×C4 | — | 6 | 1 | no | — |
| 509 | C2×C3×C4 | — | 6 | 2 | no | — |
| 510 | C2×C3×C4 | — | 6 | 1 | no | — |
| 511 | C2×C3×C4 | — | 6 | 1 | no | — |
| 512 | C2×C3×C4 | — | 6 | 2 | no | — |
| 513 | C2×C3×C4 | — | 6 | 1 | no | — |
| 514 | C2×C3×C4 | — | 6 | 2 | no | — |
| 515 | C2×C3×C4 | — | 6 | 1 | no | — |
| 516 | #67 | — | 2 | 2 | no | — |
| 517 | #67 | — | 2 | 2 | no | — |
| 518 | #67 | — | 2 | 2 | no | — |
| 519 | #67 | — | 6 | 1 | no | — |
| 520 | #67 | — | 6 | 1 | no | — |
| 521 | #67 | — | 6 | 1 | no | — |
| 522 | #67 | — | 6 | 1 | no | — |
| 523 | #67 | — | 6 | 2 | no | — |
| 524 | #67 | — | 6 | 2 | no | — |
| 525 | #67 | — | 6 | 1 | no | — |
| 526 | #67 | — | 6 | 1 | no | — |
| 527 | #67 | — | 6 | 2 | no | — |
| 528 | #67 | — | 6 | 1 | no | — |
| 529 | #67 | — | 6 | 2 | no | — |
| 530 | #67 | — | 6 | 1 | no | — |
| 531 | #67 | — | 6 | 2 | no | — |
| 532 | #67 | — | 6 | 2 | no | — |
| 533 | #67 | — | 6 | 2 | no | — |
| 534 | #67 | — | 6 | 2 | no | — |
| 535 | #67 | — | 6 | 2 | no | — |
| 536 | #67 | — | 12 | 2 | no | — |
| 537 | #67 | — | 12 | 1 | no | — |
| 538 | #67 | — | 12 | 1 | no | — |
| 539 | #67 | — | 12 | 1 | no | — |
| 540 | #67 | — | 12 | 2 | no | — |
| 541 | C2×Dic3 | — | 2 | 2 | no | — |
| 542 | C2×Dic3 | — | 2 | 1 | no | — |
| 543 | C2×Dic3 | — | 6 | 1 | no | — |
| 544 | C2×Dic3 | — | 6 | 1 | no | — |
| 545 | C2×Dic3 | — | 6 | 2 | no | — |
| 546 | C2×Dic3 | — | 6 | 2 | no | — |
| 547 | C2×Dic3 | — | 6 | 2 | no | — |
| 548 | C2×Dic3 | — | 6 | 2 | no | — |
| 549 | C2×Dic3 | — | 12 | 1 | no | — |
| 550 | D12 | — | 2 | 2 | no | — |
| 551 | D12 | — | 2 | 1 | no | — |
| 552 | D12 | — | 2 | 2 | no | — |
| 553 | D12 | — | 4 | 1 | no | — |
| 554 | D12 | — | 6 | 1 | no | — |
| 555 | D12 | — | 6 | 1 | no | — |
| 556 | D12 | — | 6 | 2 | no | — |
| 557 | D12 | — | 6 | 1 | no | — |
| 558 | D12 | — | 6 | 1 | no | — |
| 559 | D12 | — | 6 | 2 | no | — |
| 560 | D12 | — | 6 | 2 | no | — |
| 561 | D12 | — | 6 | 1 | no | — |
| 562 | D12 | — | 6 | 1 | no | — |
| 563 | D12 | — | 6 | 2 | no | — |
| 564 | D12 | — | 12 | 1 | no | — |
| 565 | C4×D3 | — | 2 | 1 | no | — |
| 566 | C4×D3 | — | 2 | 2 | no | — |
| 567 | C4×D3 | — | 2 | 1 | no | — |
| 568 | C4×D3 | — | 2 | 2 | no | — |
| 569 | C4×D3 | — | 2 | 1 | no | — |
| 570 | C4×D3 | — | 2 | 2 | no | — |
| 571 | C4×D3 | — | 2 | 1 | no | — |
| 572 | C4×D3 | — | 6 | 2 | no | — |
| 573 | C4×D3 | — | 6 | 1 | no | — |
| 574 | C4×D3 | — | 6 | 1 | no | — |
| 575 | C4×D3 | — | 6 | 1 | no | — |
| 576 | C4×D3 | — | 6 | 1 | no | — |
| 577 | C4×D3 | — | 6 | 1 | no | — |
| 578 | C4×D3 | — | 6 | 1 | no | — |
| 579 | C4×D3 | — | 6 | 1 | no | — |
| 580 | C4×D3 | — | 6 | 1 | no | — |
| 581 | C4×D3 | — | 6 | 2 | no | — |
| 582 | C4×D3 | — | 6 | 2 | no | — |
| 583 | C4×D3 | — | 6 | 2 | no | — |
| 584 | C4×D3 | — | 6 | 2 | no | — |
| 585 | C4×D3 | — | 6 | 2 | no | — |
| 586 | C4×D3 | — | 6 | 2 | no | — |
| 587 | C4×D3 | — | 6 | 2 | no | — |
| 588 | C4×D3 | — | 6 | 2 | no | — |
| 589 | C4×D3 | — | 12 | 1 | no | — |
| 590 | C4×D3 | — | 12 | 1 | no | — |
| 591 | C4×D3 | — | 12 | 1 | no | — |
| 592 | Dic6 | — | 2 | 2 | no | — |
| 593 | Dic6 | — | 2 | 1 | no | — |
| 594 | Dic6 | — | 6 | 1 | no | — |
| 595 | Dic6 | — | 6 | 1 | no | — |
| 596 | Dic6 | — | 6 | 1 | no | — |
| 597 | Dic6 | — | 6 | 1 | no | — |
| 598 | Dic6 | — | 6 | 1 | no | — |
| 599 | Dic6 | — | 6 | 2 | no | — |
| 600 | Dic6 | — | 6 | 2 | no | — |
| 601 | Dic6 | — | 6 | 1 | no | — |
| 602 | Dic6 | — | 6 | 2 | no | — |
| 603 | Dic6 | — | 6 | 2 | no | — |
| 604 | Dic6 | — | 12 | 1 | no | — |
| 605 | C3×C8 | — | 6 | 2 | no | — |
| 606 | C3⋊C8 | — | 2 | 2 | no | — |
| 607 | C2×C32 | — | 2 | 1 | no | — |
| 608 | C2×C32 | — | 4 | 1 | no | — |
| 609 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 610 | C3⋊D3 | — | 2 | 1 | no | — |
| 611 | C3⋊D3 | — | 2 | 1 | no | — |
| 612 | C3⋊D3 | — | 4 | 1 | no | — |
| 613 | C3×D3 | — | 4 | 2 | no | — |
| 614 | C3×D3 | — | 4 | 1 | no | — |
| 615 | C3×D3 | — | 4 | 1 | no | — |
| 616 | C3×D3 | — | 8 | 2 | no | — |
| 617 | C24 | — | 18 | 1 | no | — |
| 618 | #41 | — | 6 | 2 | no | — |
| 619 | #41 | — | 6 | 2 | no | — |
| 620 | #41 | — | 6 | 1 | no | — |
| 621 | #41 | — | 6 | 1 | no | — |
| 622 | #41 | — | 6 | 1 | no | — |
| 623 | #41 | — | 9 | 1 | no | — |
| 624 | #41 | — | 9 | 1 | no | — |
| 625 | #41 | — | 9 | 1 | no | — |
| 626 | #41 | — | 9 | 1 | no | — |
| 627 | #41 | — | 9 | 1 | no | — |
| 628 | #41 | — | 9 | 1 | no | — |
| 629 | #41 | — | 9 | 1 | no | — |
| 630 | #41 | — | 18 | 1 | no | — |
| 631 | #41 | — | 18 | 1 | no | — |
| 632 | #41 | — | 18 | 1 | no | — |
| 633 | #41 | — | 18 | 1 | no | — |
| 634 | #41 | — | 18 | 1 | no | — |
| 635 | #41 | — | 18 | 1 | no | — |
| 636 | #41 | — | 18 | 2 | no | — |
| 637 | #41 | — | 18 | 2 | no | — |
| 638 | #41 | — | 18 | 2 | no | — |
| 639 | #41 | — | 18 | 2 | no | — |
| 640 | #41 | — | 18 | 1 | no | — |
| 641 | #41 | — | 18 | 2 | no | — |
| 642 | #41 | — | 18 | 2 | no | — |
| 643 | #41 | — | 18 | 2 | no | — |
| 644 | #41 | — | 18 | 1 | no | — |
| 645 | #41 | — | 18 | 1 | no | — |
| 646 | #41 | — | 18 | 1 | no | — |
| 647 | #41 | — | 18 | 1 | no | — |
| 648 | #41 | — | 18 | 1 | no | — |
| 649 | #41 | — | 18 | 1 | no | — |
| 650 | #41 | — | 18 | 2 | no | — |
| 651 | #41 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 652 | C2×Q8 | — | 6 | 1 | no | — |
| 653 | C2×Q8 | — | 9 | 1 | no | — |
| 654 | C2×Q8 | — | 9 | 1 | no | — |
| 655 | C2×Q8 | — | 9 | 1 | no | — |
| 656 | C2×Q8 | — | 18 | 1 | no | — |
| 657 | C2×Q8 | — | 18 | 1 | no | — |
| 658 | C2×Q8 | — | 18 | 2 | no | — |
| 659 | C2×Q8 | — | 18 | 1 | no | — |
| 660 | C2×D4 | — | 6 | 2 | no | — |
| 661 | C2×D4 | — | 6 | 1 | no | — |
| 662 | C2×D4 | — | 6 | 1 | no | — |
| 663 | C2×D4 | — | 9 | 1 | no | — |
| 664 | C2×D4 | — | 9 | 2 | no | — |
| 665 | C2×D4 | — | 9 | 2 | no | — |
| 666 | C2×D4 | — | 9 | 1 | no | — |
| 667 | C2×D4 | — | 9 | 1 | no | — |
| 668 | C2×D4 | — | 18 | 1 | no | — |
| 669 | C2×D4 | — | 18 | 2 | no | — |
| 670 | C2×D4 | — | 18 | 1 | no | — |
| 671 | C2×D4 | — | 18 | 2 | no | — |
| 672 | C2×D4 | — | 18 | 1 | no | — |
| 673 | C2×D4 | — | 18 | 1 | no | — |
| 674 | C2×D4 | — | 18 | 1 | no | — |
| 675 | C2×D4 | — | 18 | 1 | no | — |
| 676 | C2×D4 | — | 18 | 1 | no | — |
| 677 | C2×D4 | — | 18 | 1 | no | — |
| 678 | C2×D4 | — | 18 | 2 | no | — |
| 679 | C2×D4 | — | 18 | 2 | no | — |
| 680 | C2×D4 | — | 18 | 2 | no | — |
| 681 | C2×D4 | — | 18 | 2 | no | — |
| 682 | C2×D4 | — | 18 | 1 | no | — |
| 683 | C2×D4 | — | 18 | 4 | no | — |
| 684 | C22×C4 | — | 6 | 2 | no | — |
| 685 | C22×C4 | — | 6 | 1 | no | — |
| 686 | C22×C4 | — | 9 | 2 | no | — |
| 687 | C22×C4 | — | 9 | 1 | no | — |
| 688 | C22×C4 | — | 18 | 1 | no | — |
| 689 | C22×C4 | — | 18 | 2 | no | — |
| 690 | SD16 | — | 6 | 2 | no | — |
| 691 | SD16 | — | 18 | 2 | no | — |
| 692 | SD16 | — | 18 | 2 | no | — |
| 693 | SD16 | — | 18 | 2 | no | — |
| 694 | D8 | — | 6 | 2 | no | — |
| 695 | D8 | — | 18 | 2 | no | — |
| 696 | D8 | — | 18 | 2 | no | — |
| 697 | D8 | — | 18 | 2 | no | — |
| 698 | M16 | — | 6 | 1 | no | — |
| 699 | M16 | — | 9 | 2 | no | — |
| 700 | M16 | — | 9 | 2 | no | — |
| 701 | M16 | — | 18 | 1 | no | — |
| 702 | C2×C8 | — | 18 | 1 | no | — |
| 703 | C2×C8 | — | 18 | 1 | no | — |
| 704 | C4⋊C4 | — | 18 | 1 | no | — |
| 705 | C22⋊C4 | — | 18 | 4 | no | — |
| 706 | C22⋊C4 | — | 18 | 1 | no | — |
| 707 | C42 | — | 9 | 2 | no | — |
| 708 | C22×C3 | — | 2 | 2 | no | — |
| 709 | C22×C3 | — | 2 | 1 | no | — |
| 710 | C22×C3 | — | 2 | 1 | no | — |
| 711 | C22×C3 | — | 4 | 1 | no | — |
| 712 | C22×C3 | — | 6 | 1 | no | — |
| 713 | C22×C3 | — | 6 | 2 | no | — |
| 714 | C22×C3 | — | 6 | 1 | no | — |
| 715 | C22×C3 | — | 12 | 2 | no | — |
| 716 | C22×C3 | — | 24 | 1 | no | — |
| 717 | C22×C3 | — | 24 | 2 | no | — |
| 718 | C22×C3 | — | 24 | 2 | no | — |
| 719 | C2×D3 | — | 2 | 1 | no | — |
| 720 | C2×D3 | — | 2 | 1 | no | — |
| 721 | C2×D3 | — | 2 | 2 | no | — |
| 722 | C2×D3 | — | 4 | 2 | no | — |
| 723 | C2×D3 | — | 6 | 1 | no | — |
| 724 | C2×D3 | — | 6 | 1 | no | — |
| 725 | C2×D3 | — | 6 | 1 | no | — |
| 726 | C2×D3 | — | 6 | 1 | no | — |
| 727 | C2×D3 | — | 6 | 2 | no | — |
| 728 | C2×D3 | — | 8 | 1 | no | — |
| 729 | C2×D3 | — | 8 | 2 | no | — |
| 730 | C2×D3 | — | 8 | 2 | no | — |
| 731 | C2×D3 | — | 12 | 1 | no | — |
| 732 | C2×D3 | — | 12 | 2 | no | — |
| 733 | C2×D3 | — | 24 | 2 | no | — |
| 734 | C2×D3 | — | 24 | 4 | no | — |
| 735 | C2×D3 | — | 24 | 1 | no | — |
| 736 | C2×D3 | — | 24 | 2 | no | — |
| 737 | C2×D3 | — | 24 | 2 | no | — |
| 738 | C2×D3 | — | 24 | 4 | no | — |
| 739 | C2×D3 | — | 24 | 2 | no | — |
| 740 | C2×D3 | — | 24 | 2 | no | — |
| 741 | C3×C4 | — | 2 | 2 | no | — |
| 742 | C3×C4 | — | 2 | 1 | no | — |
| 743 | C3×C4 | — | 2 | 1 | no | — |
| 744 | C3×C4 | — | 2 | 1 | no | — |
| 745 | C3×C4 | — | 2 | 1 | no | — |
| 746 | C3×C4 | — | 4 | 1 | no | — |
| 747 | C3×C4 | — | 6 | 1 | no | — |
| 748 | C3×C4 | — | 6 | 2 | no | — |
| 749 | C3×C4 | — | 6 | 1 | no | — |
| 750 | Dic3 | — | 2 | 2 | no | — |
| 751 | Dic3 | — | 2 | 1 | no | — |
| 752 | Dic3 | — | 2 | 1 | no | — |
| 753 | Dic3 | — | 6 | 1 | no | — |
| 754 | Dic3 | — | 6 | 1 | no | — |
| 755 | Dic3 | — | 6 | 1 | no | — |
| 756 | Dic3 | — | 6 | 1 | no | — |
| 757 | Dic3 | — | 6 | 2 | no | — |
| 758 | Dic3 | — | 12 | 1 | no | — |
| 759 | C32 | #3021 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 760 | C23 | — | 6 | 2 | no | — |
| 761 | C23 | — | 6 | 1 | no | — |
| 762 | C23 | — | 9 | 2 | no | — |
| 763 | C23 | — | 9 | 1 | no | — |
| 764 | C23 | — | 12 | 1 | no | — |
| 765 | C23 | — | 18 | 1 | no | — |
| 766 | C23 | — | 18 | 2 | no | — |
| 767 | C23 | — | 18 | 2 | no | — |
| 768 | C23 | — | 36 | 1 | no | — |
| 769 | C23 | — | 72 | 2 | no | — |
| 770 | Q8 | — | 6 | 2 | no | — |
| 771 | Q8 | — | 6 | 1 | no | — |
| 772 | Q8 | — | 9 | 1 | no | — |
| 773 | Q8 | — | 9 | 1 | no | — |
| 774 | Q8 | — | 9 | 1 | no | — |
| 775 | Q8 | — | 18 | 1 | no | — |
| 776 | Q8 | — | 18 | 1 | no | — |
| 777 | Q8 | — | 18 | 1 | no | — |
| 778 | Q8 | — | 18 | 2 | no | — |
| 779 | Q8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 780 | D4 | — | 2 | 1 | no | — |
| 781 | D4 | — | 6 | 2 | no | — |
| 782 | D4 | — | 6 | 2 | no | — |
| 783 | D4 | — | 6 | 2 | no | — |
| 784 | D4 | — | 6 | 2 | no | — |
| 785 | D4 | — | 6 | 1 | no | — |
| 786 | D4 | — | 6 | 2 | no | — |
| 787 | D4 | — | 9 | 1 | no | — |
| 788 | D4 | — | 9 | 1 | no | — |
| 789 | D4 | — | 9 | 1 | no | — |
| 790 | D4 | — | 12 | 1 | no | — |
| 791 | D4 | — | 18 | 1 | no | — |
| 792 | D4 | — | 18 | 2 | no | — |
| 793 | D4 | — | 18 | 1 | no | — |
| 794 | D4 | — | 18 | 1 | no | — |
| 795 | D4 | — | 18 | 1 | no | — |
| 796 | D4 | — | 18 | 1 | no | — |
| 797 | D4 | — | 18 | 2 | no | — |
| 798 | D4 | — | 18 | 2 | no | — |
| 799 | D4 | — | 18 | 1 | no | — |
| 800 | D4 | — | 18 | 1 | no | — |
| 801 | D4 | — | 18 | 1 | no | — |
| 802 | D4 | — | 18 | 2 | no | — |
| 803 | D4 | — | 18 | 1 | no | — |
| 804 | D4 | — | 18 | 2 | no | — |
| 805 | D4 | — | 18 | 1 | no | — |
| 806 | D4 | — | 36 | 1 | no | — |
| 807 | D4 | — | 72 | 4 | no | — |
| 808 | D4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 809 | C2×C4 | — | 2 | 1 | no | — |
| 810 | C2×C4 | — | 6 | 2 | no | — |
| 811 | C2×C4 | — | 6 | 2 | no | — |
| 812 | C2×C4 | — | 6 | 2 | no | — |
| 813 | C2×C4 | — | 6 | 1 | no | — |
| 814 | C2×C4 | — | 6 | 1 | no | — |
| 815 | C2×C4 | — | 6 | 1 | no | — |
| 816 | C2×C4 | — | 6 | 1 | no | — |
| 817 | C2×C4 | — | 6 | 2 | no | — |
| 818 | C2×C4 | — | 6 | 1 | no | — |
| 819 | C2×C4 | — | 9 | 2 | no | — |
| 820 | C2×C4 | — | 9 | 1 | no | — |
| 821 | C2×C4 | — | 9 | 1 | no | — |
| 822 | C2×C4 | — | 9 | 1 | no | — |
| 823 | C2×C4 | — | 9 | 1 | no | — |
| 824 | C2×C4 | — | 9 | 1 | no | — |
| 825 | C2×C4 | — | 18 | 1 | no | — |
| 826 | C2×C4 | — | 18 | 1 | no | — |
| 827 | C2×C4 | — | 18 | 2 | no | — |
| 828 | C2×C4 | — | 18 | 2 | no | — |
| 829 | C2×C4 | — | 18 | 2 | no | — |
| 830 | C2×C4 | — | 18 | 2 | no | — |
| 831 | C2×C4 | — | 18 | 1 | no | — |
| 832 | C2×C4 | — | 18 | 1 | no | — |
| 833 | C2×C4 | — | 18 | 2 | no | — |
| 834 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 835 | C8 | — | 6 | 2 | no | — |
| 836 | C8 | — | 18 | 2 | no | — |
| 837 | C2×C3 | — | 2 | 1 | no | — |
| 838 | C2×C3 | — | 2 | 1 | no | — |
| 839 | C2×C3 | — | 4 | 1 | no | — |
| 840 | C2×C3 | — | 4 | 1 | no | — |
| 841 | C2×C3 | — | 4 | 2 | no | — |
| 842 | C2×C3 | — | 8 | 1 | no | — |
| 843 | C2×C3 | — | 12 | 2 | no | — |
| 844 | C2×C3 | — | 12 | 1 | no | — |
| 845 | C2×C3 | — | 12 | 1 | no | — |
| 846 | C2×C3 | — | 24 | 2 | no | — |
| 847 | D3 | — | 4 | 1 | no | — |
| 848 | D3 | — | 4 | 2 | no | — |
| 849 | D3 | — | 4 | 1 | no | — |
| 850 | D3 | — | 6 | 2 | no | — |
| 851 | D3 | — | 8 | 2 | no | — |
| 852 | D3 | — | 12 | 1 | no | — |
| 853 | D3 | — | 12 | 1 | no | — |
| 854 | D3 | — | 12 | 1 | no | — |
| 855 | D3 | — | 12 | 2 | no | — |
| 856 | D3 | — | 24 | 1 | no | — |
| 857 | C22 | — | 2 | 1 | no | — |
| 858 | C22 | — | 6 | 1 | no | — |
| 859 | C22 | — | 6 | 1 | no | — |
| 860 | C22 | — | 6 | 2 | no | — |
| 861 | C22 | — | 9 | 1 | no | — |
| 862 | C22 | — | 9 | 1 | no | — |
| 863 | C22 | — | 12 | 2 | no | — |
| 864 | C22 | — | 18 | 1 | no | — |
| 865 | C22 | — | 24 | 1 | no | — |
| 866 | C22 | — | 24 | 2 | no | — |
| 867 | C22 | — | 24 | 2 | no | — |
| 868 | C22 | — | 36 | 1 | no | — |
| 869 | C22 | — | 36 | 2 | no | — |
| 870 | C22 | — | 36 | 4 | no | — |
| 871 | C22 | — | 72 | 1 | no | — |
| 872 | C22 | — | 72 | 2 | no | — |
| 873 | C22 | — | 72 | 2 | no | — |
| 874 | C22 | #64241 | 1 | 1 | yes | characteristic |
| 875 | C4 | — | 2 | 1 | no | — |
| 876 | C4 | — | 6 | 1 | no | — |
| 877 | C4 | — | 6 | 2 | no | — |
| 878 | C4 | — | 6 | 1 | no | — |
| 879 | C4 | — | 9 | 1 | no | — |
| 880 | C4 | — | 9 | 1 | no | — |
| 881 | C4 | — | 18 | 1 | no | — |
| 882 | C4 | — | 36 | 2 | no | — |
| 883 | C4 | #64241 | 1 | 1 | yes | characteristic |
| 884 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 885 | C3 | — | 2 | 1 | no | — |
| 886 | C3 | — | 2 | 1 | no | — |
| 887 | C2 | — | 2 | 1 | no | — |
| 888 | C2 | — | 4 | 1 | no | — |
| 889 | C2 | — | 12 | 1 | no | — |
| 890 | C2 | — | 12 | 2 | no | — |
| 891 | C2 | — | 12 | 1 | no | — |
| 892 | C2 | — | 18 | 1 | no | — |
| 893 | C2 | — | 18 | 1 | no | — |
| 894 | C2 | — | 24 | 2 | no | — |
| 895 | C2 | — | 36 | 1 | no | — |
| 896 | C2 | C2×#64241 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596695 | C2 | semidirect |
| 2. #10596512 | C2 | semidirect |
| 3. C2×#64224 | C2 | semidirect |
| 4. #10595458 | C2 | semidirect |
| 5. #10593842 | C2 | semidirect |
| 6. #10593483 | C2 | semidirect |
| 7. #10593475 | C2 | semidirect |
| 8. #10593469 | C2 | semidirect |
| 9. #10593463 | C2 | semidirect |
| 10. #10593323 | C2 | semidirect |
| 11. #10593313 | C2 | semidirect |
| 14. #64320 | C22 | semidirect |
| 15. #64316 | C22 | semidirect |
| 20. #64313 | C22 | semidirect |
| 22. #64309 | C22 | semidirect |
| 27. C2×#3802 | C22 | semidirect |
| 30. #64286 | C22 | semidirect |
| 31. C2×#3788 | C22 | semidirect |
| 35. #64231 | C22 | semidirect |
| 39. #64224 | C22 | semidirect |
| 40. #64224 | C22 | semidirect |
| 41. #64221 | C22 | semidirect |
| 43. #63941 | C22 | semidirect |
| 45. #63927 | C22 | semidirect |
| 48. #63818 | C22 | semidirect |
| 49. #63785 | C22 | semidirect |
| 50. #63783 | C22 | semidirect |
| 51. #63731 | C22 | semidirect |
| 52. #63731 | C22 | semidirect |
| 53. #63728 | C22 | semidirect |
| 54. #63727 | C22 | semidirect |
| 59. C32×#41 | D4 | semidirect |
| 61. Q8×C3⋊D3 | D4 | semidirect |
| 65. D4×C3⋊D3 | D4 | semidirect |
| 67. #3828 | D4 | semidirect |
| 87. C2×#627 | D4 | semidirect |
| 92. C2×#625 | D4 | semidirect |
| 118. #3798 | D4 | semidirect |
| 119. #3798 | D4 | semidirect |
| 651. #41 | GO+(4,𝔽2) | semidirect |
| 759. C32 | #3021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596695 | 2 |
| #10596512 | 2 |
| C2×#64224 | 2 |
| #10595458 | 2 |
| #10593842 | 2 |
| #10593483 | 2 |
| #10593475 | 2 |
| #10593469 | 2 |
| #10593463 | 2 |
| #10593323 | 2 |
| #10593313 | 2 |
| #3021 | 9 |