Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
6240 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 6240 conjugacy classes of subgroups — too many to draw. Only its 67 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 | #72267609 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Sylow |
| 2 | C2×C22⋊(C22⋊SL(2,𝔽3)) | — | 4 | 1 | no | maximal |
| 3 | C22×#5464 | — | 4 | 1 | no | maximal |
| 4 | C22⋊(#543⋊C3) | — | 4 | 1 | no | maximal |
| 5 | C2×#73292 | — | 4 | 1 | no | maximal |
| 6 | C2×#73292 | — | 4 | 2 | no | maximal |
| 7 | #17072⋊C3 | — | 4 | 3 | no | maximal |
| 8 | #17053⋊C3 | — | 4 | 6 | no | maximal |
| 9 | #16297⋊C3 | — | 4 | 3 | no | maximal |
| 10 | #13793⋊C3 | — | 4 | 3 | no | maximal |
| 11 | #5024525 | — | 3 | 2 | no | — |
| 12 | #4414197 | — | 3 | 1 | no | — |
| 13 | #3495067 | — | 3 | 6 | no | — |
| 14 | #3481515 | — | 3 | 3 | no | — |
| 15 | #3480457 | — | 3 | 3 | no | — |
| 16 | #1194187 | — | 3 | 3 | no | — |
| 17 | #1085799 | — | 3 | 1 | no | — |
| 18 | #613007 | — | 3 | 1 | no | — |
| 19 | #560163 | — | 3 | 1 | no | — |
| 20 | C22⋊(C22⋊SL(2,𝔽3)) | — | 4 | 1 | no | — |
| 21 | C2×#5464 | — | 4 | 1 | no | — |
| 22 | C2×#5464 | — | 4 | 1 | no | — |
| 23 | C2×#5464 | — | 4 | 1 | no | — |
| 24 | #73292 | — | 4 | 2 | no | — |
| 25 | #73292 | — | 4 | 1 | no | — |
| 26 | C25×Q8 | A4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C22×H(3,𝔽4) | A4 | 1 | 1 | yes | characteristic |
| 28 | C22×#543 | A4 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×#2811 | — | 3 | 1 | no | — |
| 30 | C2×#2811 | — | 3 | 1 | no | — |
| 31 | C2×#2840 | — | 3 | 1 | no | — |
| 32 | C2×#2840 | A4 | 1 | 2 | yes | complemented |
| 33 | C2×#2840 | A4 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#2409 | — | 3 | 3 | no | — |
| 35 | C2×#2409 | — | 3 | 3 | no | — |
| 36 | C2×#2375 | — | 3 | 1 | no | — |
| 37 | C2×C4×#120 | — | 3 | 1 | no | — |
| 38 | #17309 | — | 3 | 2 | no | — |
| 39 | #17217 | — | 3 | 6 | no | — |
| 40 | #17072 | A4 | 1 | 3 | yes | complemented |
| 41 | #17053 | A4 | 1 | 6 | yes | complemented |
| 42 | #16891 | — | 3 | 3 | no | — |
| 43 | #16823 | — | 3 | 3 | no | — |
| 44 | #16630 | — | 3 | 3 | no | — |
| 45 | #16481 | — | 3 | 3 | no | — |
| 46 | #16375 | — | 3 | 6 | no | — |
| 47 | #16375 | — | 3 | 6 | no | — |
| 48 | #16320 | — | 3 | 6 | no | — |
| 49 | #16318 | — | 3 | 3 | no | — |
| 50 | #16297 | A4 | 1 | 3 | yes | complemented |
| 51 | #16254 | — | 3 | 3 | no | — |
| 52 | #15824 | — | 3 | 6 | no | — |
| 53 | #15770 | — | 3 | 6 | no | — |
| 54 | #15671 | — | 3 | 6 | no | — |
| 55 | #15671 | — | 3 | 6 | no | — |
| 56 | #15636 | — | 3 | 6 | no | — |
| 57 | #15586 | — | 3 | 6 | no | — |
| 58 | #15506 | — | 3 | 6 | no | — |
| 59 | #15476 | — | 3 | 6 | no | — |
| 60 | #15426 | — | 3 | 6 | no | — |
| 61 | #15332 | — | 3 | 6 | no | — |
| 62 | #15331 | — | 3 | 6 | no | — |
| 63 | #15323 | — | 3 | 6 | no | — |
| 64 | #15253 | — | 3 | 3 | no | — |
| 65 | #15011 | — | 3 | 6 | no | — |
| 66 | #14874 | — | 3 | 6 | no | — |
| 67 | #14873 | — | 3 | 6 | no | — |
| 68 | #14865 | — | 3 | 3 | no | — |
| 69 | #14797 | — | 3 | 6 | no | — |
| 70 | #14723 | — | 3 | 3 | no | — |
| 71 | #14717 | — | 3 | 3 | no | — |
| 72 | #14694 | — | 3 | 2 | no | — |
| 73 | #14693 | — | 3 | 2 | no | — |
| 74 | #14680 | — | 3 | 1 | no | — |
| 75 | #14673 | — | 3 | 1 | no | — |
| 76 | #14657 | — | 3 | 2 | no | — |
| 77 | #14638 | — | 3 | 3 | no | — |
| 78 | #14596 | — | 3 | 3 | no | — |
| 79 | #14473 | — | 3 | 3 | no | — |
| 80 | #14449 | — | 3 | 3 | no | — |
| 81 | #14421 | — | 3 | 6 | no | — |
| 82 | #14357 | — | 3 | 3 | no | — |
| 83 | #14098 | — | 3 | 6 | no | — |
| 84 | #14027 | — | 3 | 3 | no | — |
| 85 | #13967 | — | 3 | 3 | no | — |
| 86 | #13922 | — | 3 | 3 | no | — |
| 87 | #13922 | — | 3 | 3 | no | — |
| 88 | #13793 | A4 | 1 | 3 | yes | complemented |
| 89 | C22×C22⋊A4 | — | 16 | 1 | no | — |
| 90 | C22×C22⋊A4 | — | 16 | 1 | no | — |
| 91 | C2×C22⋊SL(2,𝔽3) | — | 16 | 16 | no | — |
| 92 | C2×C22⋊SL(2,𝔽3) | — | 16 | 1 | no | — |
| 93 | C2×C22⋊SL(2,𝔽3) | — | 16 | 2 | no | — |
| 94 | C2×C22⋊SL(2,𝔽3) | — | 16 | 1 | no | — |
| 95 | C2×C22⋊SL(2,𝔽3) | — | 16 | 3 | no | — |
| 96 | #5464 | — | 4 | 1 | no | — |
| 97 | #543⋊C3 | — | 16 | 16 | no | — |
| 98 | C22×C42⋊C3 | — | 16 | 3 | no | — |
| 99 | C2×#95⋊C3 | — | 16 | 3 | no | — |
| 100 | C2×#95⋊C3 | — | 16 | 6 | no | — |
| 101 | C24×Q8 | — | 3 | 1 | no | — |
| 102 | C24×Q8 | — | 3 | 3 | no | — |
| 103 | C24×Q8 | — | 4 | 1 | no | — |
| 104 | C24×Q8 | — | 12 | 1 | no | — |
| 105 | C24×Q8 | — | 12 | 4 | no | — |
| 106 | C24×Q8 | — | 12 | 4 | no | — |
| 107 | C25×C4 | — | 3 | 1 | no | — |
| 108 | C2×H(3,𝔽4) | — | 3 | 3 | no | — |
| 109 | C2×H(3,𝔽4) | — | 3 | 1 | no | — |
| 110 | C2×H(3,𝔽4) | — | 3 | 1 | no | — |
| 111 | C2×H(3,𝔽4) | — | 4 | 1 | no | — |
| 112 | C2×H(3,𝔽4) | — | 4 | 1 | no | — |
| 113 | C2×H(3,𝔽4) | — | 12 | 1 | no | — |
| 114 | C2×H(3,𝔽4) | — | 12 | 1 | no | — |
| 115 | C2×H(3,𝔽4) | SL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 116 | C2×#543 | — | 12 | 4 | no | — |
| 117 | C22×#124 | — | 3 | 3 | no | — |
| 118 | C22×C22⋊Q8 | — | 3 | 1 | no | — |
| 119 | C22×C22⋊Q8 | — | 3 | 3 | no | — |
| 120 | C22×C22⋊Q8 | — | 3 | 2 | no | — |
| 121 | C22×C22⋊Q8 | — | 3 | 1 | no | — |
| 122 | C22×#120 | — | 3 | 1 | no | — |
| 123 | C22×#120 | — | 3 | 1 | no | — |
| 124 | C22×C4×D4 | — | 3 | 3 | no | — |
| 125 | C23×C22⋊C4 | — | 3 | 1 | no | — |
| 126 | #2840 | — | 4 | 2 | no | — |
| 127 | #2840 | — | 4 | 1 | no | — |
| 128 | #2840 | — | 12 | 2 | no | — |
| 129 | #2840 | — | 12 | 1 | no | — |
| 130 | #2840 | — | 12 | 4 | no | — |
| 131 | #2811 | — | 12 | 4 | no | — |
| 132 | #2811 | — | 12 | 4 | no | — |
| 133 | #2409 | — | 12 | 12 | no | — |
| 134 | #2409 | — | 12 | 12 | no | — |
| 135 | C2×#395 | — | 3 | 3 | no | — |
| 136 | C2×#395 | — | 3 | 6 | no | — |
| 137 | C2×#395 | — | 3 | 6 | no | — |
| 138 | C2×#395 | — | 3 | 3 | no | — |
| 139 | C2×#395 | — | 3 | 3 | no | — |
| 140 | C2×#393 | — | 3 | 3 | no | — |
| 141 | C2×#393 | — | 3 | 3 | no | — |
| 142 | C2×#393 | — | 3 | 6 | no | — |
| 143 | C2×#393 | — | 3 | 6 | no | — |
| 144 | C2×#393 | — | 3 | 3 | no | — |
| 145 | C2×#393 | — | 3 | 6 | no | — |
| 146 | C2×#393 | — | 3 | 3 | no | — |
| 147 | C2×#393 | — | 3 | 1 | no | — |
| 148 | C2×#393 | — | 3 | 2 | no | — |
| 149 | #2375 | — | 12 | 3 | no | — |
| 150 | #2375 | — | 12 | 1 | no | — |
| 151 | C4×#120 | — | 12 | 3 | no | — |
| 152 | C4×#120 | — | 12 | 1 | no | — |
| 153 | C2×#391 | — | 3 | 3 | no | — |
| 154 | C2×#391 | — | 3 | 3 | no | — |
| 155 | C2×#391 | — | 3 | 6 | no | — |
| 156 | C2×#391 | — | 3 | 3 | no | — |
| 157 | C2×#391 | — | 3 | 6 | no | — |
| 158 | C2×#391 | — | 3 | 3 | no | — |
| 159 | C2×#391 | — | 3 | 3 | no | — |
| 160 | C2×#390 | — | 3 | 3 | no | — |
| 161 | C2×#388 | — | 3 | 6 | no | — |
| 162 | C2×#386 | — | 3 | 6 | no | — |
| 163 | C2×#386 | — | 3 | 3 | no | — |
| 164 | C2×#386 | — | 3 | 6 | no | — |
| 165 | C2×#386 | — | 3 | 3 | no | — |
| 166 | C2×#385 | — | 3 | 3 | no | — |
| 167 | C2×#385 | — | 3 | 6 | no | — |
| 168 | C2×#385 | — | 3 | 6 | no | — |
| 169 | C2×#380 | — | 3 | 3 | no | — |
| 170 | C2×#380 | — | 3 | 3 | no | — |
| 171 | C2×#379 | — | 3 | 2 | no | — |
| 172 | C2×#379 | — | 3 | 1 | no | — |
| 173 | C2×#379 | — | 3 | 3 | no | — |
| 174 | C2×C4×C22⋊C4 | — | 3 | 3 | no | — |
| 175 | #1446 | — | 3 | 6 | no | — |
| 176 | #1446 | — | 3 | 6 | no | — |
| 177 | #1446 | — | 3 | 6 | no | — |
| 178 | #1446 | — | 3 | 6 | no | — |
| 179 | #1446 | — | 3 | 6 | no | — |
| 180 | #1446 | — | 3 | 6 | no | — |
| 181 | #1446 | — | 3 | 6 | no | — |
| 182 | #1446 | — | 3 | 6 | no | — |
| 183 | #1445 | — | 3 | 6 | no | — |
| 184 | #1445 | — | 3 | 6 | no | — |
| 185 | #1445 | — | 3 | 6 | no | — |
| 186 | #1443 | — | 3 | 6 | no | — |
| 187 | #1443 | — | 3 | 6 | no | — |
| 188 | #1443 | — | 3 | 6 | no | — |
| 189 | #1442 | — | 3 | 6 | no | — |
| 190 | #1442 | — | 3 | 6 | no | — |
| 191 | #1442 | — | 3 | 6 | no | — |
| 192 | #1441 | — | 3 | 3 | no | — |
| 193 | #1441 | — | 3 | 6 | no | — |
| 194 | #1441 | — | 3 | 6 | no | — |
| 195 | #1441 | — | 3 | 6 | no | — |
| 196 | #1441 | — | 3 | 6 | no | — |
| 197 | #1440 | — | 3 | 6 | no | — |
| 198 | #1440 | — | 3 | 6 | no | — |
| 199 | #1440 | — | 3 | 6 | no | — |
| 200 | #1439 | — | 3 | 3 | no | — |
| 201 | #1439 | — | 3 | 6 | no | — |
| 202 | #1439 | — | 3 | 6 | no | — |
| 203 | #1439 | — | 3 | 6 | no | — |
| 204 | #1439 | — | 3 | 6 | no | — |
| 205 | #1439 | — | 3 | 6 | no | — |
| 206 | #1439 | — | 3 | 3 | no | — |
| 207 | #1439 | — | 3 | 6 | no | — |
| 208 | #1439 | — | 3 | 3 | no | — |
| 209 | #1439 | — | 3 | 6 | no | — |
| 210 | #1438 | — | 3 | 6 | no | — |
| 211 | #1438 | — | 3 | 6 | no | — |
| 212 | #1437 | — | 3 | 6 | no | — |
| 213 | #1437 | — | 3 | 6 | no | — |
| 214 | #1436 | — | 3 | 6 | no | — |
| 215 | #1436 | — | 3 | 6 | no | — |
| 216 | #1436 | — | 3 | 6 | no | — |
| 217 | C4⋊#95 | — | 3 | 3 | no | — |
| 218 | #1434 | — | 3 | 6 | no | — |
| 219 | #1434 | — | 3 | 6 | no | — |
| 220 | #1434 | — | 3 | 3 | no | — |
| 221 | C22⋊#95 | — | 3 | 3 | no | — |
| 222 | C22⋊#95 | — | 3 | 6 | no | — |
| 223 | C22⋊#95 | — | 3 | 3 | no | — |
| 224 | C22⋊#95 | — | 3 | 6 | no | — |
| 225 | C22⋊#95 | — | 3 | 6 | no | — |
| 226 | C22⋊#95 | — | 3 | 6 | no | — |
| 227 | C22⋊#95 | — | 3 | 6 | no | — |
| 228 | C22⋊#95 | — | 3 | 6 | no | — |
| 229 | C22⋊#95 | — | 3 | 3 | no | — |
| 230 | C4×#95 | — | 3 | 3 | no | — |
| 231 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 232 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 233 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 234 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 235 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 236 | C2×C22⋊A4 | — | 16 | 1 | no | — |
| 237 | C22⋊SL(2,𝔽3) | — | 16 | 2 | no | — |
| 238 | C22⋊SL(2,𝔽3) | — | 16 | 1 | no | — |
| 239 | C22⋊SL(2,𝔽3) | — | 16 | 16 | no | — |
| 240 | C22⋊SL(2,𝔽3) | — | 16 | 1 | no | — |
| 241 | C22⋊SL(2,𝔽3) | — | 16 | 3 | no | — |
| 242 | C2×C42⋊C3 | — | 16 | 3 | no | — |
| 243 | C2×C42⋊C3 | — | 16 | 3 | no | — |
| 244 | C2×C42⋊C3 | — | 16 | 3 | no | — |
| 245 | #95⋊C3 | — | 16 | 6 | no | — |
| 246 | #95⋊C3 | — | 16 | 3 | no | — |
| 247 | C26 | C22⋊A4 | 1 | 1 | yes | characteristic |
| 248 | C26 | C22⋊A4 | 1 | 1 | yes | characteristic |
| 249 | C23×Q8 | — | 3 | 1 | no | — |
| 250 | C23×Q8 | — | 3 | 1 | no | — |
| 251 | C23×Q8 | — | 3 | 3 | no | — |
| 252 | C23×Q8 | — | 3 | 2 | no | — |
| 253 | C23×Q8 | — | 3 | 1 | no | — |
| 254 | C23×Q8 | — | 4 | 16 | no | — |
| 255 | C23×Q8 | — | 6 | 12 | no | — |
| 256 | C23×Q8 | — | 6 | 12 | no | — |
| 257 | C23×Q8 | — | 12 | 1 | no | — |
| 258 | C23×Q8 | — | 12 | 3 | no | — |
| 259 | C23×Q8 | — | 12 | 1 | no | — |
| 260 | C23×Q8 | — | 12 | 3 | no | — |
| 261 | C23×Q8 | — | 12 | 6 | no | — |
| 262 | C23×Q8 | — | 12 | 6 | no | — |
| 263 | C23×Q8 | — | 12 | 12 | no | — |
| 264 | C23×Q8 | — | 12 | 12 | no | — |
| 265 | C23×Q8 | — | 12 | 16 | no | — |
| 266 | C23×Q8 | — | 12 | 16 | no | — |
| 267 | C23×Q8 | — | 12 | 48 | no | — |
| 268 | C23×Q8 | — | 12 | 16 | no | — |
| 269 | C23×Q8 | — | 12 | 48 | no | — |
| 270 | C23×Q8 | C22⋊A4 | 1 | 1 | yes | characteristic |
| 271 | C23×Q8 | C22⋊A4 | 1 | 3 | yes | — |
| 272 | C23×Q8 | C22⋊A4 | 1 | 1 | yes | characteristic |
| 273 | C23×Q8 | C22⋊A4 | 1 | 2 | yes | — |
| 274 | C23×D4 | — | 3 | 3 | no | — |
| 275 | C24×C4 | — | 3 | 3 | no | — |
| 276 | C24×C4 | — | 3 | 3 | no | — |
| 277 | C24×C4 | — | 3 | 1 | no | — |
| 278 | C24×C4 | — | 3 | 1 | no | — |
| 279 | C24×C4 | — | 6 | 3 | no | — |
| 280 | C24×C4 | — | 6 | 1 | no | — |
| 281 | C24×C4 | — | 12 | 6 | no | — |
| 282 | C24×C4 | — | 12 | 6 | no | — |
| 283 | H(3,𝔽4) | — | 4 | 1 | no | — |
| 284 | H(3,𝔽4) | — | 12 | 3 | no | — |
| 285 | H(3,𝔽4) | — | 12 | 3 | no | — |
| 286 | H(3,𝔽4) | — | 12 | 2 | no | — |
| 287 | H(3,𝔽4) | — | 12 | 6 | no | — |
| 288 | H(3,𝔽4) | — | 12 | 3 | no | — |
| 289 | H(3,𝔽4) | — | 12 | 1 | no | — |
| 290 | H(3,𝔽4) | — | 12 | 1 | no | — |
| 291 | H(3,𝔽4) | — | 12 | 1 | no | — |
| 292 | H(3,𝔽4) | — | 12 | 1 | no | — |
| 293 | #543 | — | 4 | 16 | no | — |
| 294 | #543 | — | 12 | 16 | no | — |
| 295 | C2×#124 | — | 3 | 3 | no | — |
| 296 | C2×#124 | — | 3 | 6 | no | — |
| 297 | C2×#124 | — | 3 | 6 | no | — |
| 298 | C2×#124 | — | 3 | 3 | no | — |
| 299 | C2×#124 | — | 3 | 3 | no | — |
| 300 | C2×#124 | — | 3 | 3 | no | — |
| 301 | C2×#124 | — | 12 | 3 | no | — |
| 302 | C2×#124 | — | 12 | 3 | no | — |
| 303 | C2×#124 | — | 12 | 3 | no | — |
| 304 | C2×#124 | — | 12 | 3 | no | — |
| 305 | C2×C22⋊Q8 | — | 6 | 12 | no | — |
| 306 | C2×C22⋊Q8 | — | 12 | 12 | no | — |
| 307 | C2×C22⋊Q8 | — | 12 | 12 | no | — |
| 308 | C2×C22⋊Q8 | — | 12 | 6 | no | — |
| 309 | C2×C22⋊Q8 | — | 12 | 6 | no | — |
| 310 | C2×#120 | — | 3 | 3 | no | — |
| 311 | C2×#120 | — | 3 | 3 | no | — |
| 312 | C2×#120 | — | 3 | 1 | no | — |
| 313 | C2×#120 | — | 3 | 1 | no | — |
| 314 | C2×#120 | — | 3 | 3 | no | — |
| 315 | C2×#120 | — | 3 | 3 | no | — |
| 316 | C2×#120 | — | 3 | 1 | no | — |
| 317 | C2×#120 | — | 3 | 1 | no | — |
| 318 | C2×#120 | — | 6 | 3 | no | — |
| 319 | C2×#120 | — | 6 | 3 | no | — |
| 320 | C2×#120 | — | 6 | 1 | no | — |
| 321 | C2×#120 | — | 6 | 1 | no | — |
| 322 | C2×#120 | — | 12 | 1 | no | — |
| 323 | C2×#120 | — | 12 | 1 | no | — |
| 324 | C2×#120 | — | 12 | 1 | no | — |
| 325 | C2×#120 | — | 12 | 1 | no | — |
| 326 | C2×C4×D4 | — | 12 | 6 | no | — |
| 327 | C2×C4×D4 | — | 12 | 6 | no | — |
| 328 | C2×C4×D4 | — | 12 | 3 | no | — |
| 329 | C2×C4×D4 | — | 12 | 3 | no | — |
| 330 | C22×C4⋊C4 | — | 3 | 2 | no | — |
| 331 | C22×C4⋊C4 | — | 3 | 1 | no | — |
| 332 | C22×C4⋊C4 | — | 3 | 3 | no | — |
| 333 | C22×C4⋊C4 | — | 3 | 6 | no | — |
| 334 | C22×C4⋊C4 | — | 3 | 3 | no | — |
| 335 | C22×C4⋊C4 | — | 3 | 3 | no | — |
| 336 | C22×C4⋊C4 | — | 3 | 3 | no | — |
| 337 | C22×C4⋊C4 | — | 3 | 1 | no | — |
| 338 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 339 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 340 | C22×C22⋊C4 | — | 3 | 2 | no | — |
| 341 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 342 | C22×C22⋊C4 | — | 3 | 6 | no | — |
| 343 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 344 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 345 | C22×C22⋊C4 | — | 3 | 6 | no | — |
| 346 | C22×C22⋊C4 | — | 3 | 6 | no | — |
| 347 | C22×C22⋊C4 | — | 3 | 6 | no | — |
| 348 | C22×C22⋊C4 | — | 3 | 3 | no | — |
| 349 | C22×C22⋊C4 | — | 3 | 2 | no | — |
| 350 | C22×C22⋊C4 | — | 12 | 6 | no | — |
| 351 | C22×C42 | — | 3 | 3 | no | — |
| 352 | C22×C42 | — | 3 | 3 | no | — |
| 353 | C22×C42 | C22⋊A4 | 1 | 3 | yes | — |
| 354 | #395 | — | 6 | 12 | no | — |
| 355 | #395 | — | 12 | 12 | no | — |
| 356 | #395 | — | 12 | 6 | no | — |
| 357 | #395 | — | 12 | 12 | no | — |
| 358 | #395 | — | 12 | 6 | no | — |
| 359 | #393 | — | 6 | 12 | no | — |
| 360 | #393 | — | 12 | 3 | no | — |
| 361 | #393 | — | 12 | 6 | no | — |
| 362 | #393 | — | 12 | 3 | no | — |
| 363 | #393 | — | 12 | 6 | no | — |
| 364 | #393 | — | 12 | 12 | no | — |
| 365 | #393 | — | 12 | 6 | no | — |
| 366 | #393 | — | 12 | 6 | no | — |
| 367 | #393 | — | 12 | 12 | no | — |
| 368 | #393 | — | 12 | 1 | no | — |
| 369 | #393 | — | 12 | 2 | no | — |
| 370 | #393 | — | 12 | 1 | no | — |
| 371 | #393 | — | 12 | 2 | no | — |
| 372 | #391 | — | 6 | 12 | no | — |
| 373 | #391 | — | 12 | 6 | no | — |
| 374 | #391 | — | 12 | 6 | no | — |
| 375 | #391 | — | 12 | 12 | no | — |
| 376 | #391 | — | 12 | 6 | no | — |
| 377 | #391 | — | 12 | 12 | no | — |
| 378 | #391 | — | 12 | 6 | no | — |
| 379 | #390 | — | 12 | 3 | no | — |
| 380 | #390 | — | 12 | 3 | no | — |
| 381 | #388 | — | 12 | 6 | no | — |
| 382 | #388 | — | 12 | 6 | no | — |
| 383 | #386 | — | 12 | 12 | no | — |
| 384 | #386 | — | 12 | 12 | no | — |
| 385 | #386 | — | 12 | 3 | no | — |
| 386 | #386 | — | 12 | 3 | no | — |
| 387 | #386 | — | 12 | 3 | no | — |
| 388 | #386 | — | 12 | 3 | no | — |
| 389 | #385 | — | 12 | 12 | no | — |
| 390 | #385 | — | 12 | 12 | no | — |
| 391 | #385 | — | 12 | 3 | no | — |
| 392 | #385 | — | 12 | 3 | no | — |
| 393 | #380 | — | 12 | 6 | no | — |
| 394 | #380 | — | 12 | 6 | no | — |
| 395 | #379 | — | 6 | 6 | no | — |
| 396 | #379 | — | 6 | 3 | no | — |
| 397 | #379 | — | 6 | 2 | no | — |
| 398 | #379 | — | 6 | 1 | no | — |
| 399 | #379 | — | 12 | 6 | no | — |
| 400 | C4×C22⋊C4 | — | 12 | 3 | no | — |
| 401 | C4×C22⋊C4 | — | 12 | 3 | no | — |
| 402 | C2×#95 | — | 3 | 3 | no | — |
| 403 | C2×#95 | — | 3 | 6 | no | — |
| 404 | C2×#95 | — | 3 | 6 | no | — |
| 405 | C2×#95 | — | 3 | 3 | no | — |
| 406 | C2×#95 | — | 3 | 6 | no | — |
| 407 | C2×#95 | — | 3 | 6 | no | — |
| 408 | C2×#95 | — | 3 | 6 | no | — |
| 409 | C2×#95 | — | 3 | 3 | no | — |
| 410 | C2×#95 | — | 3 | 3 | no | — |
| 411 | C2×#95 | — | 3 | 6 | no | — |
| 412 | C2×#95 | — | 3 | 6 | no | — |
| 413 | C2×#95 | — | 3 | 6 | no | — |
| 414 | C2×#95 | — | 3 | 6 | no | — |
| 415 | C2×#95 | — | 3 | 6 | no | — |
| 416 | C2×#95 | — | 3 | 6 | no | — |
| 417 | C2×#95 | — | 3 | 3 | no | — |
| 418 | C2×#95 | — | 3 | 6 | no | — |
| 419 | C2×#95 | — | 3 | 6 | no | — |
| 420 | C2×#95 | — | 3 | 6 | no | — |
| 421 | C2×#95 | — | 3 | 6 | no | — |
| 422 | C2×#95 | — | 3 | 6 | no | — |
| 423 | C2×#95 | — | 3 | 6 | no | — |
| 424 | C2×#95 | C22⋊A4 | 1 | 3 | yes | — |
| 425 | C2×#95 | C22⋊A4 | 1 | 6 | yes | — |
| 426 | C22⋊A4 | — | 16 | 1 | no | — |
| 427 | C22⋊A4 | — | 16 | 1 | no | — |
| 428 | C22×A4 | — | 64 | 4 | no | — |
| 429 | C22×A4 | — | 64 | 4 | no | — |
| 430 | C22×A4 | — | 64 | 1 | no | — |
| 431 | C2×SL(2,𝔽3) | — | 64 | 12 | no | — |
| 432 | C2×SL(2,𝔽3) | — | 64 | 8 | no | — |
| 433 | C2×SL(2,𝔽3) | — | 64 | 4 | no | — |
| 434 | C2×SL(2,𝔽3) | — | 64 | 4 | no | — |
| 435 | C42⋊C3 | — | 16 | 3 | no | — |
| 436 | C25 | — | 3 | 1 | no | — |
| 437 | C25 | — | 3 | 1 | no | — |
| 438 | C25 | — | 3 | 1 | no | — |
| 439 | C25 | — | 3 | 1 | no | — |
| 440 | C25 | — | 3 | 1 | no | — |
| 441 | C25 | — | 3 | 1 | no | — |
| 442 | C25 | — | 4 | 1 | no | — |
| 443 | C25 | — | 4 | 1 | no | — |
| 444 | C25 | — | 12 | 1 | no | — |
| 445 | C25 | — | 12 | 1 | no | — |
| 446 | C25 | — | 12 | 1 | no | — |
| 447 | C25 | — | 12 | 1 | no | — |
| 448 | C25 | — | 12 | 1 | no | — |
| 449 | C25 | — | 12 | 1 | no | — |
| 450 | C25 | — | 12 | 1 | no | — |
| 451 | C25 | — | 12 | 1 | no | — |
| 452 | C25 | C22⋊SL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 453 | C25 | C22⋊SL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 454 | C25 | #997 | 1 | 1 | yes | characteristic |
| 455 | C25 | #997 | 1 | 1 | yes | characteristic |
| 456 | C22×Q8 | — | 3 | 4 | no | — |
| 457 | C22×Q8 | — | 3 | 1 | no | — |
| 458 | C22×Q8 | — | 3 | 3 | no | — |
| 459 | C22×Q8 | — | 3 | 4 | no | — |
| 460 | C22×Q8 | — | 4 | 1 | no | — |
| 461 | C22×Q8 | — | 4 | 3 | no | — |
| 462 | C22×Q8 | — | 4 | 2 | no | — |
| 463 | C22×Q8 | — | 4 | 1 | no | — |
| 464 | C22×Q8 | — | 4 | 16 | no | — |
| 465 | C22×Q8 | — | 6 | 6 | no | — |
| 466 | C22×Q8 | — | 6 | 12 | no | — |
| 467 | C22×Q8 | — | 6 | 6 | no | — |
| 468 | C22×Q8 | — | 6 | 12 | no | — |
| 469 | C22×Q8 | — | 12 | 3 | no | — |
| 470 | C22×Q8 | — | 12 | 2 | no | — |
| 471 | C22×Q8 | — | 12 | 1 | no | — |
| 472 | C22×Q8 | — | 12 | 1 | no | — |
| 473 | C22×Q8 | — | 12 | 3 | no | — |
| 474 | C22×Q8 | — | 12 | 3 | no | — |
| 475 | C22×Q8 | — | 12 | 1 | no | — |
| 476 | C22×Q8 | — | 12 | 2 | no | — |
| 477 | C22×Q8 | — | 12 | 2 | no | — |
| 478 | C22×Q8 | — | 12 | 1 | no | — |
| 479 | C22×Q8 | — | 12 | 1 | no | — |
| 480 | C22×Q8 | — | 12 | 1 | no | — |
| 481 | C22×Q8 | — | 12 | 1 | no | — |
| 482 | C22×Q8 | — | 12 | 1 | no | — |
| 483 | C22×Q8 | — | 12 | 2 | no | — |
| 484 | C22×Q8 | — | 12 | 2 | no | — |
| 485 | C22×Q8 | — | 12 | 2 | no | — |
| 486 | C22×Q8 | — | 12 | 1 | no | — |
| 487 | C22×Q8 | — | 12 | 1 | no | — |
| 488 | C22×Q8 | — | 12 | 1 | no | — |
| 489 | C22×Q8 | — | 12 | 2 | no | — |
| 490 | C22×Q8 | — | 12 | 2 | no | — |
| 491 | C22×Q8 | — | 12 | 1 | no | — |
| 492 | C22×Q8 | — | 12 | 2 | no | — |
| 493 | C22×Q8 | — | 12 | 2 | no | — |
| 494 | C22×Q8 | — | 12 | 1 | no | — |
| 495 | C22×Q8 | — | 12 | 2 | no | — |
| 496 | C22×Q8 | — | 12 | 1 | no | — |
| 497 | C22×Q8 | — | 12 | 2 | no | — |
| 498 | C22×Q8 | — | 12 | 2 | no | — |
| 499 | C22×Q8 | — | 12 | 24 | no | — |
| 500 | C22×Q8 | — | 12 | 24 | no | — |
| 501 | C22×Q8 | — | 12 | 24 | no | — |
| 502 | C22×Q8 | — | 12 | 24 | no | — |
| 503 | C22×Q8 | — | 12 | 4 | no | — |
| 504 | C22×Q8 | — | 12 | 8 | no | — |
| 505 | C22×Q8 | — | 12 | 48 | no | — |
| 506 | C22×Q8 | — | 12 | 48 | no | — |
| 507 | C22×Q8 | — | 12 | 48 | no | — |
| 508 | C22×Q8 | — | 12 | 48 | no | — |
| 509 | C22×Q8 | — | 12 | 48 | no | — |
| 510 | C22×Q8 | — | 12 | 16 | no | — |
| 511 | C22×Q8 | — | 12 | 48 | no | — |
| 512 | C22×Q8 | — | 12 | 48 | no | — |
| 513 | C22×Q8 | — | 12 | 24 | no | — |
| 514 | C22×Q8 | — | 12 | 24 | no | — |
| 515 | C22×Q8 | — | 12 | 16 | no | — |
| 516 | C22×Q8 | — | 12 | 48 | no | — |
| 517 | C22×Q8 | — | 12 | 16 | no | — |
| 518 | C22×Q8 | — | 12 | 96 | no | — |
| 519 | C22×Q8 | — | 12 | 48 | no | — |
| 520 | C22×Q8 | — | 12 | 32 | no | — |
| 521 | C22×Q8 | — | 12 | 4 | no | — |
| 522 | C22×Q8 | — | 12 | 16 | no | — |
| 523 | C22×D4 | — | 3 | 3 | no | — |
| 524 | C22×D4 | — | 3 | 3 | no | — |
| 525 | C22×D4 | — | 3 | 3 | no | — |
| 526 | C22×D4 | — | 3 | 3 | no | — |
| 527 | C22×D4 | — | 6 | 3 | no | — |
| 528 | C22×D4 | — | 6 | 3 | no | — |
| 529 | C22×D4 | — | 6 | 3 | no | — |
| 530 | C22×D4 | — | 6 | 3 | no | — |
| 531 | C22×D4 | — | 12 | 3 | no | — |
| 532 | C22×D4 | — | 12 | 3 | no | — |
| 533 | C22×D4 | — | 12 | 3 | no | — |
| 534 | C22×D4 | — | 12 | 3 | no | — |
| 535 | C23×C4 | — | 3 | 1 | no | — |
| 536 | C23×C4 | — | 3 | 3 | no | — |
| 537 | C23×C4 | — | 3 | 3 | no | — |
| 538 | C23×C4 | — | 3 | 6 | no | — |
| 539 | C23×C4 | — | 3 | 3 | no | — |
| 540 | C23×C4 | — | 3 | 1 | no | — |
| 541 | C23×C4 | — | 3 | 2 | no | — |
| 542 | C23×C4 | — | 6 | 6 | no | — |
| 543 | C23×C4 | — | 6 | 6 | no | — |
| 544 | C23×C4 | — | 6 | 12 | no | — |
| 545 | C23×C4 | — | 6 | 12 | no | — |
| 546 | C23×C4 | — | 6 | 6 | no | — |
| 547 | C23×C4 | — | 6 | 3 | no | — |
| 548 | C23×C4 | — | 6 | 3 | no | — |
| 549 | C23×C4 | — | 6 | 3 | no | — |
| 550 | C23×C4 | — | 6 | 3 | no | — |
| 551 | C23×C4 | — | 12 | 6 | no | — |
| 552 | C23×C4 | — | 12 | 3 | no | — |
| 553 | C23×C4 | — | 12 | 6 | no | — |
| 554 | C23×C4 | — | 12 | 3 | no | — |
| 555 | C23×C4 | — | 12 | 3 | no | — |
| 556 | C23×C4 | — | 12 | 1 | no | — |
| 557 | C23×C4 | — | 12 | 3 | no | — |
| 558 | C23×C4 | — | 12 | 3 | no | — |
| 559 | C23×C4 | — | 12 | 1 | no | — |
| 560 | C23×C4 | — | 12 | 12 | no | — |
| 561 | C23×C4 | — | 12 | 12 | no | — |
| 562 | C23×C4 | — | 12 | 24 | no | — |
| 563 | C23×C4 | — | 12 | 16 | no | — |
| 564 | C23×C4 | — | 12 | 48 | no | — |
| 565 | #124 | — | 12 | 3 | no | — |
| 566 | #124 | — | 12 | 3 | no | — |
| 567 | #124 | — | 12 | 3 | no | — |
| 568 | #124 | — | 12 | 3 | no | — |
| 569 | #124 | — | 12 | 6 | no | — |
| 570 | #124 | — | 12 | 3 | no | — |
| 571 | #124 | — | 12 | 3 | no | — |
| 572 | #124 | — | 12 | 3 | no | — |
| 573 | #124 | — | 12 | 6 | no | — |
| 574 | #124 | — | 12 | 6 | no | — |
| 575 | #124 | — | 12 | 6 | no | — |
| 576 | #124 | — | 12 | 3 | no | — |
| 577 | C22⋊Q8 | — | 12 | 12 | no | — |
| 578 | C22⋊Q8 | — | 12 | 32 | no | — |
| 579 | C22⋊Q8 | — | 12 | 16 | no | — |
| 580 | C22⋊Q8 | — | 12 | 4 | no | — |
| 581 | C22⋊Q8 | — | 24 | 24 | no | — |
| 582 | #120 | — | 6 | 6 | no | — |
| 583 | #120 | — | 6 | 6 | no | — |
| 584 | #120 | — | 6 | 3 | no | — |
| 585 | #120 | — | 6 | 3 | no | — |
| 586 | #120 | — | 6 | 3 | no | — |
| 587 | #120 | — | 6 | 3 | no | — |
| 588 | #120 | — | 6 | 3 | no | — |
| 589 | #120 | — | 6 | 3 | no | — |
| 590 | #120 | — | 6 | 1 | no | — |
| 591 | #120 | — | 6 | 1 | no | — |
| 592 | #120 | — | 12 | 1 | no | — |
| 593 | #120 | — | 12 | 1 | no | — |
| 594 | #120 | — | 12 | 1 | no | — |
| 595 | #120 | — | 12 | 1 | no | — |
| 596 | #120 | — | 12 | 3 | no | — |
| 597 | #120 | — | 12 | 3 | no | — |
| 598 | #120 | — | 12 | 3 | no | — |
| 599 | #120 | — | 12 | 3 | no | — |
| 600 | C4×D4 | — | 24 | 12 | no | — |
| 601 | C4×D4 | — | 24 | 12 | no | — |
| 602 | C2×C4⋊C4 | — | 6 | 6 | no | — |
| 603 | C2×C4⋊C4 | — | 6 | 12 | no | — |
| 604 | C2×C4⋊C4 | — | 6 | 6 | no | — |
| 605 | C2×C4⋊C4 | — | 6 | 6 | no | — |
| 606 | C2×C4⋊C4 | — | 6 | 12 | no | — |
| 607 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 608 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 609 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 610 | C2×C4⋊C4 | — | 12 | 6 | no | — |
| 611 | C2×C4⋊C4 | — | 12 | 6 | no | — |
| 612 | C2×C4⋊C4 | — | 12 | 6 | no | — |
| 613 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 614 | C2×C4⋊C4 | — | 12 | 6 | no | — |
| 615 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 616 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 617 | C2×C4⋊C4 | — | 12 | 3 | no | — |
| 618 | C2×C22⋊C4 | — | 3 | 3 | no | — |
| 619 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 620 | C2×C22⋊C4 | — | 3 | 3 | no | — |
| 621 | C2×C22⋊C4 | — | 3 | 3 | no | — |
| 622 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 623 | C2×C22⋊C4 | — | 3 | 3 | no | — |
| 624 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 625 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 626 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 627 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 628 | C2×C22⋊C4 | — | 6 | 12 | no | — |
| 629 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 630 | C2×C22⋊C4 | — | 6 | 12 | no | — |
| 631 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 632 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 633 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 634 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 635 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 636 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 637 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 638 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 639 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 640 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 641 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 642 | C2×C22⋊C4 | — | 12 | 16 | no | — |
| 643 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 644 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 645 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 646 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 647 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 648 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 649 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 650 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 651 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 652 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 653 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 654 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 655 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 656 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 657 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 658 | C2×C22⋊C4 | — | 12 | 6 | no | — |
| 659 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 660 | C2×C22⋊C4 | — | 12 | 3 | no | — |
| 661 | C2×C42 | — | 3 | 3 | no | — |
| 662 | C2×C42 | — | 4 | 3 | no | — |
| 663 | C2×C42 | — | 4 | 3 | no | — |
| 664 | C2×C42 | — | 6 | 6 | no | — |
| 665 | C2×C42 | — | 12 | 3 | no | — |
| 666 | C2×C42 | — | 12 | 3 | no | — |
| 667 | C2×C42 | — | 12 | 3 | no | — |
| 668 | C2×C42 | — | 12 | 3 | no | — |
| 669 | C2×C42 | — | 12 | 3 | no | — |
| 670 | C2×C42 | C22⋊SL(2,𝔽3) | 1 | 3 | yes | complemented |
| 671 | #95 | — | 4 | 3 | no | — |
| 672 | #95 | — | 4 | 6 | no | — |
| 673 | #95 | — | 6 | 6 | no | — |
| 674 | #95 | — | 6 | 6 | no | — |
| 675 | #95 | — | 6 | 12 | no | — |
| 676 | #95 | — | 6 | 12 | no | — |
| 677 | #95 | — | 6 | 12 | no | — |
| 678 | #95 | — | 6 | 12 | no | — |
| 679 | #95 | — | 12 | 6 | no | — |
| 680 | #95 | — | 12 | 6 | no | — |
| 681 | #95 | — | 12 | 6 | no | — |
| 682 | #95 | — | 12 | 6 | no | — |
| 683 | #95 | — | 12 | 6 | no | — |
| 684 | #95 | — | 12 | 6 | no | — |
| 685 | #95 | — | 12 | 6 | no | — |
| 686 | #95 | — | 12 | 6 | no | — |
| 687 | #95 | — | 12 | 6 | no | — |
| 688 | #95 | — | 12 | 6 | no | — |
| 689 | #95 | — | 12 | 6 | no | — |
| 690 | #95 | — | 12 | 6 | no | — |
| 691 | #95 | — | 12 | 3 | no | — |
| 692 | #95 | — | 12 | 3 | no | — |
| 693 | #95 | — | 12 | 3 | no | — |
| 694 | #95 | — | 12 | 6 | no | — |
| 695 | C2×A4 | — | 64 | 4 | no | — |
| 696 | C2×A4 | — | 64 | 4 | no | — |
| 697 | C2×A4 | — | 64 | 4 | no | — |
| 698 | C2×A4 | — | 64 | 4 | no | — |
| 699 | C2×A4 | — | 64 | 4 | no | — |
| 700 | C2×A4 | — | 64 | 4 | no | — |
| 701 | C2×A4 | — | 64 | 1 | no | — |
| 702 | C2×A4 | — | 64 | 1 | no | — |
| 703 | C2×A4 | — | 64 | 1 | no | — |
| 704 | SL(2,𝔽3) | — | 64 | 4 | no | — |
| 705 | SL(2,𝔽3) | — | 64 | 12 | no | — |
| 706 | SL(2,𝔽3) | — | 64 | 4 | no | — |
| 707 | SL(2,𝔽3) | — | 64 | 8 | no | — |
| 708 | C24 | — | 3 | 2 | no | — |
| 709 | C24 | — | 3 | 1 | no | — |
| 710 | C24 | — | 3 | 1 | no | — |
| 711 | C24 | — | 3 | 1 | no | — |
| 712 | C24 | — | 3 | 1 | no | — |
| 713 | C24 | — | 3 | 1 | no | — |
| 714 | C24 | — | 3 | 1 | no | — |
| 715 | C24 | — | 3 | 1 | no | — |
| 716 | C24 | — | 3 | 1 | no | — |
| 717 | C24 | — | 3 | 1 | no | — |
| 718 | C24 | — | 3 | 1 | no | — |
| 719 | C24 | — | 3 | 1 | no | — |
| 720 | C24 | — | 4 | 4 | no | — |
| 721 | C24 | — | 4 | 4 | no | — |
| 722 | C24 | — | 4 | 1 | no | — |
| 723 | C24 | — | 6 | 3 | no | — |
| 724 | C24 | — | 6 | 3 | no | — |
| 725 | C24 | — | 6 | 3 | no | — |
| 726 | C24 | — | 6 | 3 | no | — |
| 727 | C24 | — | 6 | 3 | no | — |
| 728 | C24 | — | 6 | 3 | no | — |
| 729 | C24 | — | 6 | 3 | no | — |
| 730 | C24 | — | 6 | 3 | no | — |
| 731 | C24 | — | 6 | 1 | no | — |
| 732 | C24 | — | 6 | 1 | no | — |
| 733 | C24 | — | 12 | 1 | no | — |
| 734 | C24 | — | 12 | 1 | no | — |
| 735 | C24 | — | 12 | 1 | no | — |
| 736 | C24 | — | 12 | 1 | no | — |
| 737 | C24 | — | 12 | 4 | no | — |
| 738 | C24 | — | 12 | 4 | no | — |
| 739 | C24 | — | 12 | 4 | no | — |
| 740 | C24 | — | 12 | 4 | no | — |
| 741 | C24 | — | 12 | 1 | no | — |
| 742 | C24 | — | 12 | 1 | no | — |
| 743 | C24 | — | 12 | 1 | no | — |
| 744 | C24 | — | 12 | 3 | no | — |
| 745 | C24 | — | 12 | 3 | no | — |
| 746 | C24 | — | 12 | 3 | no | — |
| 747 | C24 | — | 12 | 3 | no | — |
| 748 | C24 | — | 12 | 3 | no | — |
| 749 | C24 | — | 12 | 3 | no | — |
| 750 | C24 | — | 12 | 3 | no | — |
| 751 | C24 | — | 12 | 1 | no | — |
| 752 | C24 | — | 12 | 3 | no | — |
| 753 | C24 | — | 12 | 1 | no | — |
| 754 | C24 | — | 12 | 8 | no | — |
| 755 | C24 | — | 48 | 1 | no | — |
| 756 | C24 | — | 48 | 1 | no | — |
| 757 | C24 | — | 48 | 1 | no | — |
| 758 | C24 | — | 48 | 1 | no | — |
| 759 | C24 | — | 48 | 1 | no | — |
| 760 | C24 | — | 48 | 1 | no | — |
| 761 | C24 | — | 48 | 2 | no | — |
| 762 | C24 | #543⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 763 | C24 | C22⋊(C22⋊A4) | 1 | 1 | yes | characteristic |
| 764 | C2×Q8 | — | 3 | 4 | no | — |
| 765 | C2×Q8 | — | 4 | 12 | no | — |
| 766 | C2×Q8 | — | 4 | 4 | no | — |
| 767 | C2×Q8 | — | 4 | 8 | no | — |
| 768 | C2×Q8 | — | 6 | 24 | no | — |
| 769 | C2×Q8 | — | 12 | 12 | no | — |
| 770 | C2×Q8 | — | 12 | 4 | no | — |
| 771 | C2×Q8 | — | 12 | 4 | no | — |
| 772 | C2×Q8 | — | 12 | 4 | no | — |
| 773 | C2×Q8 | — | 12 | 8 | no | — |
| 774 | C2×Q8 | — | 12 | 1 | no | — |
| 775 | C2×Q8 | — | 12 | 3 | no | — |
| 776 | C2×Q8 | — | 12 | 1 | no | — |
| 777 | C2×Q8 | — | 12 | 3 | no | — |
| 778 | C2×Q8 | — | 12 | 1 | no | — |
| 779 | C2×Q8 | — | 12 | 3 | no | — |
| 780 | C2×Q8 | — | 12 | 6 | no | — |
| 781 | C2×Q8 | — | 12 | 24 | no | — |
| 782 | C2×Q8 | — | 12 | 24 | no | — |
| 783 | C2×Q8 | — | 12 | 6 | no | — |
| 784 | C2×Q8 | — | 12 | 12 | no | — |
| 785 | C2×Q8 | — | 12 | 12 | no | — |
| 786 | C2×Q8 | — | 12 | 16 | no | — |
| 787 | C2×Q8 | — | 12 | 48 | no | — |
| 788 | C2×Q8 | — | 12 | 16 | no | — |
| 789 | C2×Q8 | — | 12 | 48 | no | — |
| 790 | C2×Q8 | — | 12 | 16 | no | — |
| 791 | C2×Q8 | — | 12 | 32 | no | — |
| 792 | C2×Q8 | — | 12 | 32 | no | — |
| 793 | C2×Q8 | — | 12 | 16 | no | — |
| 794 | C2×Q8 | — | 12 | 96 | no | — |
| 795 | C2×Q8 | — | 12 | 48 | no | — |
| 796 | C2×Q8 | — | 12 | 96 | no | — |
| 797 | C2×Q8 | — | 12 | 48 | no | — |
| 798 | C2×Q8 | — | 12 | 4 | no | — |
| 799 | C2×Q8 | — | 12 | 8 | no | — |
| 800 | C2×Q8 | — | 12 | 4 | no | — |
| 801 | C2×Q8 | — | 12 | 8 | no | — |
| 802 | C2×Q8 | — | 12 | 4 | no | — |
| 803 | C2×Q8 | — | 48 | 1 | no | — |
| 804 | C2×Q8 | — | 48 | 2 | no | — |
| 805 | C2×Q8 | — | 48 | 1 | no | — |
| 806 | C2×Q8 | — | 48 | 2 | no | — |
| 807 | C2×Q8 | — | 48 | 1 | no | — |
| 808 | C2×Q8 | — | 48 | 1 | no | — |
| 809 | C2×Q8 | — | 48 | 1 | no | — |
| 810 | C2×Q8 | — | 48 | 1 | no | — |
| 811 | C2×Q8 | — | 48 | 1 | no | — |
| 812 | C2×Q8 | — | 48 | 2 | no | — |
| 813 | C2×Q8 | — | 48 | 2 | no | — |
| 814 | C2×Q8 | — | 48 | 2 | no | — |
| 815 | C2×Q8 | — | 48 | 2 | no | — |
| 816 | C2×Q8 | — | 48 | 2 | no | — |
| 817 | C2×Q8 | — | 48 | 2 | no | — |
| 818 | C2×Q8 | — | 48 | 2 | no | — |
| 819 | C2×Q8 | — | 48 | 2 | no | — |
| 820 | C2×Q8 | — | 48 | 1 | no | — |
| 821 | C2×Q8 | #5464 | 1 | 4 | yes | complemented |
| 822 | C2×D4 | — | 6 | 3 | no | — |
| 823 | C2×D4 | — | 6 | 3 | no | — |
| 824 | C2×D4 | — | 6 | 3 | no | — |
| 825 | C2×D4 | — | 6 | 3 | no | — |
| 826 | C2×D4 | — | 6 | 3 | no | — |
| 827 | C2×D4 | — | 6 | 3 | no | — |
| 828 | C2×D4 | — | 6 | 3 | no | — |
| 829 | C2×D4 | — | 6 | 3 | no | — |
| 830 | C2×D4 | — | 12 | 3 | no | — |
| 831 | C2×D4 | — | 12 | 3 | no | — |
| 832 | C2×D4 | — | 12 | 3 | no | — |
| 833 | C2×D4 | — | 12 | 3 | no | — |
| 834 | C2×D4 | — | 12 | 3 | no | — |
| 835 | C2×D4 | — | 12 | 3 | no | — |
| 836 | C2×D4 | — | 12 | 3 | no | — |
| 837 | C2×D4 | — | 12 | 3 | no | — |
| 838 | C2×D4 | — | 24 | 3 | no | — |
| 839 | C2×D4 | — | 24 | 3 | no | — |
| 840 | C2×D4 | — | 24 | 3 | no | — |
| 841 | C2×D4 | — | 24 | 3 | no | — |
| 842 | C2×D4 | — | 24 | 3 | no | — |
| 843 | C2×D4 | — | 24 | 3 | no | — |
| 844 | C2×D4 | — | 24 | 3 | no | — |
| 845 | C2×D4 | — | 24 | 3 | no | — |
| 846 | C22×C4 | — | 3 | 6 | no | — |
| 847 | C22×C4 | — | 3 | 6 | no | — |
| 848 | C22×C4 | — | 3 | 3 | no | — |
| 849 | C22×C4 | — | 3 | 3 | no | — |
| 850 | C22×C4 | — | 6 | 3 | no | — |
| 851 | C22×C4 | — | 6 | 1 | no | — |
| 852 | C22×C4 | — | 6 | 3 | no | — |
| 853 | C22×C4 | — | 6 | 3 | no | — |
| 854 | C22×C4 | — | 6 | 3 | no | — |
| 855 | C22×C4 | — | 6 | 3 | no | — |
| 856 | C22×C4 | — | 6 | 6 | no | — |
| 857 | C22×C4 | — | 6 | 6 | no | — |
| 858 | C22×C4 | — | 6 | 3 | no | — |
| 859 | C22×C4 | — | 6 | 12 | no | — |
| 860 | C22×C4 | — | 6 | 12 | no | — |
| 861 | C22×C4 | — | 6 | 3 | no | — |
| 862 | C22×C4 | — | 6 | 3 | no | — |
| 863 | C22×C4 | — | 6 | 3 | no | — |
| 864 | C22×C4 | — | 6 | 3 | no | — |
| 865 | C22×C4 | — | 6 | 3 | no | — |
| 866 | C22×C4 | — | 6 | 6 | no | — |
| 867 | C22×C4 | — | 6 | 6 | no | — |
| 868 | C22×C4 | — | 6 | 6 | no | — |
| 869 | C22×C4 | — | 6 | 6 | no | — |
| 870 | C22×C4 | — | 6 | 3 | no | — |
| 871 | C22×C4 | — | 6 | 6 | no | — |
| 872 | C22×C4 | — | 6 | 6 | no | — |
| 873 | C22×C4 | — | 6 | 6 | no | — |
| 874 | C22×C4 | — | 6 | 6 | no | — |
| 875 | C22×C4 | — | 6 | 6 | no | — |
| 876 | C22×C4 | — | 6 | 6 | no | — |
| 877 | C22×C4 | — | 6 | 3 | no | — |
| 878 | C22×C4 | — | 6 | 3 | no | — |
| 879 | C22×C4 | — | 6 | 6 | no | — |
| 880 | C22×C4 | — | 6 | 2 | no | — |
| 881 | C22×C4 | — | 6 | 1 | no | — |
| 882 | C22×C4 | — | 12 | 12 | no | — |
| 883 | C22×C4 | — | 12 | 4 | no | — |
| 884 | C22×C4 | — | 12 | 24 | no | — |
| 885 | C22×C4 | — | 12 | 12 | no | — |
| 886 | C22×C4 | — | 12 | 12 | no | — |
| 887 | C22×C4 | — | 12 | 12 | no | — |
| 888 | C22×C4 | — | 12 | 12 | no | — |
| 889 | C22×C4 | — | 12 | 12 | no | — |
| 890 | C22×C4 | — | 12 | 12 | no | — |
| 891 | C22×C4 | — | 12 | 24 | no | — |
| 892 | C22×C4 | — | 12 | 16 | no | — |
| 893 | C22×C4 | — | 12 | 16 | no | — |
| 894 | C22×C4 | — | 12 | 6 | no | — |
| 895 | C22×C4 | — | 12 | 6 | no | — |
| 896 | C22×C4 | — | 12 | 48 | no | — |
| 897 | C22×C4 | — | 12 | 48 | no | — |
| 898 | C22×C4 | — | 12 | 12 | no | — |
| 899 | C22×C4 | — | 12 | 4 | no | — |
| 900 | C22×C4 | — | 24 | 6 | no | — |
| 901 | C22×C4 | — | 24 | 6 | no | — |
| 902 | C22×C4 | — | 48 | 3 | no | — |
| 903 | C22×C4 | — | 48 | 3 | no | — |
| 904 | C4⋊C4 | — | 12 | 4 | no | — |
| 905 | C4⋊C4 | — | 12 | 8 | no | — |
| 906 | C4⋊C4 | — | 12 | 4 | no | — |
| 907 | C4⋊C4 | — | 24 | 6 | no | — |
| 908 | C4⋊C4 | — | 24 | 6 | no | — |
| 909 | C4⋊C4 | — | 24 | 12 | no | — |
| 910 | C4⋊C4 | — | 48 | 3 | no | — |
| 911 | C4⋊C4 | — | 48 | 3 | no | — |
| 912 | C22⋊C4 | — | 6 | 3 | no | — |
| 913 | C22⋊C4 | — | 6 | 3 | no | — |
| 914 | C22⋊C4 | — | 6 | 6 | no | — |
| 915 | C22⋊C4 | — | 6 | 6 | no | — |
| 916 | C22⋊C4 | — | 6 | 3 | no | — |
| 917 | C22⋊C4 | — | 6 | 3 | no | — |
| 918 | C22⋊C4 | — | 12 | 8 | no | — |
| 919 | C22⋊C4 | — | 12 | 3 | no | — |
| 920 | C22⋊C4 | — | 12 | 6 | no | — |
| 921 | C22⋊C4 | — | 12 | 3 | no | — |
| 922 | C22⋊C4 | — | 12 | 8 | no | — |
| 923 | C22⋊C4 | — | 24 | 6 | no | — |
| 924 | C22⋊C4 | — | 24 | 12 | no | — |
| 925 | C22⋊C4 | — | 24 | 6 | no | — |
| 926 | C22⋊C4 | — | 24 | 6 | no | — |
| 927 | C22⋊C4 | — | 24 | 6 | no | — |
| 928 | C22⋊C4 | — | 24 | 6 | no | — |
| 929 | C22⋊C4 | — | 24 | 3 | no | — |
| 930 | C22⋊C4 | — | 24 | 3 | no | — |
| 931 | C22⋊C4 | — | 24 | 3 | no | — |
| 932 | C22⋊C4 | — | 24 | 3 | no | — |
| 933 | C22⋊C4 | — | 48 | 3 | no | — |
| 934 | C22⋊C4 | — | 48 | 6 | no | — |
| 935 | C42 | — | 4 | 3 | no | — |
| 936 | C42 | — | 12 | 3 | no | — |
| 937 | C42 | — | 24 | 6 | no | — |
| 938 | C42 | — | 48 | 3 | no | — |
| 939 | C22×C3 | — | 256 | 1 | no | — |
| 940 | A4 | — | 64 | 4 | no | — |
| 941 | A4 | — | 64 | 4 | no | — |
| 942 | A4 | — | 64 | 1 | no | — |
| 943 | C23 | — | 3 | 1 | no | — |
| 944 | C23 | — | 3 | 1 | no | — |
| 945 | C23 | — | 3 | 1 | no | — |
| 946 | C23 | — | 3 | 1 | no | — |
| 947 | C23 | — | 3 | 1 | no | — |
| 948 | C23 | — | 3 | 1 | no | — |
| 949 | C23 | — | 3 | 1 | no | — |
| 950 | C23 | — | 3 | 1 | no | — |
| 951 | C23 | — | 4 | 4 | no | — |
| 952 | C23 | — | 4 | 4 | no | — |
| 953 | C23 | — | 4 | 4 | no | — |
| 954 | C23 | — | 4 | 4 | no | — |
| 955 | C23 | — | 6 | 3 | no | — |
| 956 | C23 | — | 6 | 3 | no | — |
| 957 | C23 | — | 6 | 3 | no | — |
| 958 | C23 | — | 6 | 3 | no | — |
| 959 | C23 | — | 6 | 3 | no | — |
| 960 | C23 | — | 6 | 3 | no | — |
| 961 | C23 | — | 6 | 3 | no | — |
| 962 | C23 | — | 6 | 3 | no | — |
| 963 | C23 | — | 6 | 3 | no | — |
| 964 | C23 | — | 6 | 3 | no | — |
| 965 | C23 | — | 6 | 3 | no | — |
| 966 | C23 | — | 6 | 3 | no | — |
| 967 | C23 | — | 6 | 3 | no | — |
| 968 | C23 | — | 6 | 3 | no | — |
| 969 | C23 | — | 6 | 3 | no | — |
| 970 | C23 | — | 6 | 3 | no | — |
| 971 | C23 | — | 6 | 1 | no | — |
| 972 | C23 | — | 6 | 1 | no | — |
| 973 | C23 | — | 12 | 3 | no | — |
| 974 | C23 | — | 12 | 6 | no | — |
| 975 | C23 | — | 12 | 3 | no | — |
| 976 | C23 | — | 12 | 3 | no | — |
| 977 | C23 | — | 12 | 3 | no | — |
| 978 | C23 | — | 12 | 3 | no | — |
| 979 | C23 | — | 12 | 3 | no | — |
| 980 | C23 | — | 12 | 6 | no | — |
| 981 | C23 | — | 12 | 3 | no | — |
| 982 | C23 | — | 12 | 3 | no | — |
| 983 | C23 | — | 12 | 3 | no | — |
| 984 | C23 | — | 12 | 3 | no | — |
| 985 | C23 | — | 12 | 1 | no | — |
| 986 | C23 | — | 12 | 4 | no | — |
| 987 | C23 | — | 12 | 4 | no | — |
| 988 | C23 | — | 12 | 4 | no | — |
| 989 | C23 | — | 12 | 3 | no | — |
| 990 | C23 | — | 12 | 3 | no | — |
| 991 | C23 | — | 12 | 3 | no | — |
| 992 | C23 | — | 12 | 6 | no | — |
| 993 | C23 | — | 12 | 4 | no | — |
| 994 | C23 | — | 12 | 4 | no | — |
| 995 | C23 | — | 12 | 4 | no | — |
| 996 | C23 | — | 12 | 12 | no | — |
| 997 | C23 | — | 12 | 12 | no | — |
| 998 | C23 | — | 12 | 12 | no | — |
| 999 | C23 | — | 12 | 1 | no | — |
| 1000 | C23 | — | 12 | 1 | no | — |
| 1001 | C23 | — | 12 | 4 | no | — |
| 1002 | C23 | — | 16 | 4 | no | — |
| 1003 | C23 | — | 16 | 4 | no | — |
| 1004 | C23 | — | 48 | 1 | no | — |
| 1005 | C23 | — | 48 | 1 | no | — |
| 1006 | C23 | — | 48 | 3 | no | — |
| 1007 | C23 | — | 48 | 3 | no | — |
| 1008 | C23 | — | 48 | 4 | no | — |
| 1009 | C23 | — | 48 | 4 | no | — |
| 1010 | C23 | C22⋊(C22⋊SL(2,𝔽3)) | 1 | 1 | yes | characteristic |
| 1011 | C23 | C22⋊#997 | 1 | 1 | yes | characteristic |
| 1012 | C23 | C22⋊#997 | 1 | 1 | yes | characteristic |
| 1013 | Q8 | — | 4 | 4 | no | — |
| 1014 | Q8 | — | 4 | 12 | no | — |
| 1015 | Q8 | — | 12 | 4 | no | — |
| 1016 | Q8 | — | 12 | 48 | no | — |
| 1017 | Q8 | — | 12 | 12 | no | — |
| 1018 | Q8 | — | 12 | 16 | no | — |
| 1019 | Q8 | — | 16 | 4 | no | — |
| 1020 | Q8 | — | 16 | 8 | no | — |
| 1021 | Q8 | — | 48 | 1 | no | — |
| 1022 | Q8 | — | 48 | 3 | no | — |
| 1023 | Q8 | — | 48 | 8 | no | — |
| 1024 | Q8 | — | 48 | 4 | no | — |
| 1025 | D4 | — | 24 | 3 | no | — |
| 1026 | D4 | — | 24 | 3 | no | — |
| 1027 | D4 | — | 24 | 3 | no | — |
| 1028 | D4 | — | 24 | 3 | no | — |
| 1029 | D4 | — | 24 | 3 | no | — |
| 1030 | D4 | — | 24 | 3 | no | — |
| 1031 | D4 | — | 24 | 3 | no | — |
| 1032 | D4 | — | 24 | 3 | no | — |
| 1033 | C2×C4 | — | 3 | 4 | no | — |
| 1034 | C2×C4 | — | 6 | 6 | no | — |
| 1035 | C2×C4 | — | 6 | 6 | no | — |
| 1036 | C2×C4 | — | 6 | 6 | no | — |
| 1037 | C2×C4 | — | 6 | 12 | no | — |
| 1038 | C2×C4 | — | 6 | 3 | no | — |
| 1039 | C2×C4 | — | 6 | 3 | no | — |
| 1040 | C2×C4 | — | 6 | 3 | no | — |
| 1041 | C2×C4 | — | 6 | 3 | no | — |
| 1042 | C2×C4 | — | 6 | 3 | no | — |
| 1043 | C2×C4 | — | 6 | 3 | no | — |
| 1044 | C2×C4 | — | 12 | 24 | no | — |
| 1045 | C2×C4 | — | 12 | 24 | no | — |
| 1046 | C2×C4 | — | 12 | 3 | no | — |
| 1047 | C2×C4 | — | 12 | 3 | no | — |
| 1048 | C2×C4 | — | 12 | 3 | no | — |
| 1049 | C2×C4 | — | 12 | 3 | no | — |
| 1050 | C2×C4 | — | 12 | 6 | no | — |
| 1051 | C2×C4 | — | 12 | 3 | no | — |
| 1052 | C2×C4 | — | 12 | 24 | no | — |
| 1053 | C2×C4 | — | 12 | 24 | no | — |
| 1054 | C2×C4 | — | 12 | 3 | no | — |
| 1055 | C2×C4 | — | 12 | 3 | no | — |
| 1056 | C2×C4 | — | 12 | 6 | no | — |
| 1057 | C2×C4 | — | 12 | 6 | no | — |
| 1058 | C2×C4 | — | 12 | 6 | no | — |
| 1059 | C2×C4 | — | 12 | 3 | no | — |
| 1060 | C2×C4 | — | 12 | 6 | no | — |
| 1061 | C2×C4 | — | 12 | 6 | no | — |
| 1062 | C2×C4 | — | 12 | 6 | no | — |
| 1063 | C2×C4 | — | 12 | 6 | no | — |
| 1064 | C2×C4 | — | 12 | 6 | no | — |
| 1065 | C2×C4 | — | 12 | 3 | no | — |
| 1066 | C2×C4 | — | 12 | 3 | no | — |
| 1067 | C2×C4 | — | 12 | 6 | no | — |
| 1068 | C2×C4 | — | 12 | 6 | no | — |
| 1069 | C2×C4 | — | 12 | 6 | no | — |
| 1070 | C2×C4 | — | 12 | 3 | no | — |
| 1071 | C2×C4 | — | 12 | 1 | no | — |
| 1072 | C2×C4 | — | 12 | 2 | no | — |
| 1073 | C2×C4 | — | 48 | 4 | no | — |
| 1074 | C2×C4 | — | 48 | 4 | no | — |
| 1075 | C2×C3 | — | 256 | 1 | no | — |
| 1076 | C2×C3 | — | 256 | 1 | no | — |
| 1077 | C2×C3 | — | 256 | 1 | no | — |
| 1078 | C22 | — | 3 | 1 | no | — |
| 1079 | C22 | — | 3 | 1 | no | — |
| 1080 | C22 | — | 3 | 1 | no | — |
| 1081 | C22 | — | 3 | 2 | no | — |
| 1082 | C22 | — | 3 | 1 | no | — |
| 1083 | C22 | — | 3 | 1 | no | — |
| 1084 | C22 | — | 3 | 1 | no | — |
| 1085 | C22 | — | 3 | 1 | no | — |
| 1086 | C22 | — | 3 | 1 | no | — |
| 1087 | C22 | — | 3 | 1 | no | — |
| 1088 | C22 | — | 4 | 4 | no | — |
| 1089 | C22 | — | 6 | 3 | no | — |
| 1090 | C22 | — | 6 | 3 | no | — |
| 1091 | C22 | — | 6 | 3 | no | — |
| 1092 | C22 | — | 6 | 3 | no | — |
| 1093 | C22 | — | 12 | 3 | no | — |
| 1094 | C22 | — | 12 | 3 | no | — |
| 1095 | C22 | — | 12 | 3 | no | — |
| 1096 | C22 | — | 12 | 3 | no | — |
| 1097 | C22 | — | 12 | 3 | no | — |
| 1098 | C22 | — | 12 | 3 | no | — |
| 1099 | C22 | — | 12 | 3 | no | — |
| 1100 | C22 | — | 12 | 3 | no | — |
| 1101 | C22 | — | 12 | 3 | no | — |
| 1102 | C22 | — | 12 | 3 | no | — |
| 1103 | C22 | — | 12 | 4 | no | — |
| 1104 | C22 | — | 12 | 4 | no | — |
| 1105 | C22 | — | 12 | 4 | no | — |
| 1106 | C22 | — | 12 | 8 | no | — |
| 1107 | C22 | — | 12 | 1 | no | — |
| 1108 | C22 | — | 12 | 1 | no | — |
| 1109 | C22 | — | 12 | 1 | no | — |
| 1110 | C22 | — | 12 | 1 | no | — |
| 1111 | C22 | — | 12 | 1 | no | — |
| 1112 | C22 | — | 12 | 1 | no | — |
| 1113 | C22 | — | 12 | 1 | no | — |
| 1114 | C22 | — | 12 | 1 | no | — |
| 1115 | C22 | — | 16 | 4 | no | — |
| 1116 | C22 | — | 24 | 3 | no | — |
| 1117 | C22 | — | 24 | 3 | no | — |
| 1118 | C22 | — | 24 | 1 | no | — |
| 1119 | C22 | — | 24 | 1 | no | — |
| 1120 | C22 | — | 48 | 4 | no | — |
| 1121 | C22 | C22⋊(#543⋊C3) | 1 | 1 | yes | characteristic |
| 1122 | C22 | C22⋊#5464 | 1 | 1 | yes | characteristic |
| 1123 | C4 | — | 6 | 4 | no | — |
| 1124 | C4 | — | 12 | 3 | no | — |
| 1125 | C4 | — | 12 | 3 | no | — |
| 1126 | C4 | — | 12 | 6 | no | — |
| 1127 | C4 | — | 24 | 6 | no | — |
| 1128 | C4 | — | 24 | 3 | no | — |
| 1129 | C4 | — | 24 | 1 | no | — |
| 1130 | C4 | — | 24 | 2 | no | — |
| 1131 | C3 | — | 256 | 1 | no | Sylow |
| 1132 | C2 | — | 3 | 1 | no | — |
| 1133 | C2 | — | 3 | 1 | no | — |
| 1134 | C2 | — | 3 | 1 | no | — |
| 1135 | C2 | — | 3 | 1 | no | — |
| 1136 | C2 | — | 12 | 1 | no | — |
| 1137 | C2 | — | 12 | 1 | no | — |
| 1138 | C2 | — | 12 | 1 | no | — |
| 1139 | C2 | — | 12 | 1 | no | — |
| 1140 | C2 | — | 24 | 1 | no | — |
| 1141 | C2 | — | 24 | 1 | no | — |
| 1142 | C2 | #72209711 | 1 | 1 | yes | characteristic |
| 1143 | C2 | #72213091 | 1 | 1 | yes | characteristic |
| 1144 | C2 | #72213471 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | C22⋊#5464 |
| commutator, Fitting, cosocle, hypocenter | #72267609 | C3 |
| Frattini, socle | C24 | C22⋊(C22⋊A4) |
| LCS | G ▷ #72267609 | |
| UCS | C1 ◁ C22 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72267609 | C3 | semidirect |
| 26. C25×Q8 | A4 | semidirect |
| 28. C22×#543 | A4 | semidirect |
| 32. C2×#2840 | A4 | semidirect |
| 33. C2×#2840 | A4 | semidirect |
| 40. #17072 | A4 | semidirect |
| 41. #17053 | A4 | semidirect |
| 50. #16297 | A4 | semidirect |
| 88. #13793 | A4 | semidirect |
| 115. C2×H(3,𝔽4) | SL(2,𝔽3) | semidirect |
| 453. C25 | C22⋊SL(2,𝔽3) | semidirect |
| 670. C2×C42 | C22⋊SL(2,𝔽3) | semidirect |
| 762. C24 | #543⋊C3 | semidirect |
| 821. C2×Q8 | #5464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72267609 | 3 |
| C2×C22⋊(C22⋊SL(2,𝔽3)) | 4 |
| C22×#5464 | 4 |
| C22⋊(#543⋊C3) | 4 |
| C2×#73292 | 4 |
| #17072⋊C3 | 4 |
| #17053⋊C3 | 4 |
| #16297⋊C3 | 4 |
| #13793⋊C3 | 4 |