Finite Group DatabasebetaFinite Group DatabasebetaOrder 3072.
1702 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 1702 conjugacy classes of subgroups — too many to draw. Only its 68 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 | #72215706 | — | 3 | 1 | no | maximal, Sylow |
| 2 | #72215118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72214578 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72213885 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C4×#1842⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72209724 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11712861 | — | 4 | 1 | no | maximal |
| 8 | #11712792 | C22 | 1 | 2 | yes | — |
| 9 | #11711280 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | #11711279 | C4 | 1 | 2 | yes | complemented |
| 11 | #11711278 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #11711085 | — | 2 | 2 | no | — |
| 13 | #857⋊C8 | — | 2 | 2 | no | — |
| 14 | #11710976 | C22 | 1 | 2 | yes | — |
| 15 | C2×#1842⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#1842⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 17 | C42×C42⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 18 | #6396313 | — | 3 | 1 | no | — |
| 19 | C4×#1842 | D3 | 1 | 1 | yes | characteristic, complemented |
| 20 | #238866 | — | 3 | 1 | no | — |
| 21 | #203002 | — | 3 | 2 | no | — |
| 22 | #191846 | — | 3 | 2 | no | — |
| 23 | #121583 | — | 3 | 1 | no | — |
| 24 | #120306 | — | 3 | 1 | no | — |
| 25 | #111511 | — | 3 | 1 | no | — |
| 26 | #110273 | — | 3 | 2 | no | — |
| 27 | #108578 | — | 3 | 1 | no | — |
| 28 | #108093 | — | 3 | 2 | no | — |
| 29 | #85440 | — | 4 | 1 | no | — |
| 30 | #85437 | — | 4 | 2 | no | — |
| 31 | C4×C8×A4 | — | 4 | 1 | no | — |
| 32 | C2×C4×C42⋊C3 | — | 2 | 1 | no | — |
| 33 | C2×C4×C42⋊C3 | C23 | 1 | 1 | yes | characteristic |
| 34 | #73105 | — | 4 | 1 | no | — |
| 35 | #73048 | — | 2 | 2 | no | — |
| 36 | #73046 | — | 4 | 2 | no | — |
| 37 | C4⋊#857 | C2×C4 | 1 | 2 | yes | — |
| 38 | C4×#857 | — | 2 | 2 | no | — |
| 39 | #72980 | C2×C4 | 1 | 2 | yes | — |
| 40 | #1842⋊C3 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | #1842⋊C3 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | #1842⋊C3 | D4 | 1 | 1 | yes | characteristic |
| 43 | #1842⋊C3 | D4 | 1 | 1 | yes | characteristic |
| 44 | #67995 | — | 2 | 2 | no | — |
| 45 | #60900 | — | 3 | 1 | no | — |
| 46 | #60265 | — | 3 | 2 | no | — |
| 47 | #23113 | — | 6 | 2 | no | — |
| 48 | #23080 | — | 6 | 2 | no | — |
| 49 | #23015 | — | 6 | 2 | no | — |
| 50 | #22982 | — | 6 | 2 | no | — |
| 51 | #22204 | — | 6 | 1 | no | — |
| 52 | #22204 | — | 6 | 1 | no | — |
| 53 | #21969 | — | 3 | 1 | no | — |
| 54 | #21544 | — | 6 | 1 | no | — |
| 55 | #21544 | — | 6 | 1 | no | — |
| 56 | #21415 | — | 3 | 2 | no | — |
| 57 | #21415 | — | 3 | 2 | no | — |
| 58 | #21415 | — | 3 | 2 | no | — |
| 59 | C2×#1842 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | C2×#1842 | C2×D3 | 1 | 1 | yes | characteristic |
| 61 | C2×C4×C4⋊C8 | — | 3 | 1 | no | — |
| 62 | C2×C4×C4⋊C8 | — | 3 | 1 | no | — |
| 63 | #17807 | — | 3 | 2 | no | — |
| 64 | #17719 | — | 3 | 2 | no | — |
| 65 | #17466 | — | 3 | 2 | no | — |
| 66 | C44 | C2×D3 | 1 | 1 | yes | characteristic |
| 67 | #10832 | — | 3 | 1 | no | — |
| 68 | #10832 | — | 3 | 1 | no | — |
| 69 | #10522 | — | 3 | 1 | no | — |
| 70 | #10522 | — | 3 | 1 | no | — |
| 71 | #10520 | — | 3 | 2 | no | — |
| 72 | #10520 | — | 3 | 2 | no | — |
| 73 | #10518 | — | 3 | 1 | no | — |
| 74 | #10518 | — | 3 | 1 | no | — |
| 75 | #9580 | — | 6 | 2 | no | — |
| 76 | #9579 | — | 6 | 2 | no | — |
| 77 | #9578 | — | 6 | 2 | no | — |
| 78 | #9577 | — | 6 | 2 | no | — |
| 79 | #8841 | — | 6 | 2 | no | — |
| 80 | #8841 | — | 6 | 2 | no | — |
| 81 | #8839 | — | 6 | 2 | no | — |
| 82 | #8839 | — | 6 | 2 | no | — |
| 83 | #8082 | — | 3 | 2 | no | — |
| 84 | #8002 | — | 3 | 1 | no | — |
| 85 | #7988 | — | 3 | 1 | no | — |
| 86 | #7935 | — | 3 | 2 | no | — |
| 87 | #7867 | — | 3 | 2 | no | — |
| 88 | #7867 | — | 3 | 2 | no | — |
| 89 | #7867 | — | 3 | 2 | no | — |
| 90 | #5912 | — | 4 | 2 | no | — |
| 91 | C2×C8×A4 | — | 4 | 1 | no | — |
| 92 | C2×C8×A4 | — | 4 | 1 | no | — |
| 93 | C42×A4 | — | 4 | 1 | no | — |
| 94 | C22×C42⋊C3 | #41 | 1 | 1 | yes | characteristic |
| 95 | #5409 | — | 4 | 2 | no | — |
| 96 | #5402 | — | 4 | 1 | no | — |
| 97 | #5401 | — | 4 | 2 | no | — |
| 98 | #5400 | — | 8 | 2 | no | — |
| 99 | C8×S4 | — | 8 | 2 | no | — |
| 100 | #5398 | — | 4 | 1 | no | — |
| 101 | C2×#857 | — | 2 | 2 | no | — |
| 102 | #4700 | — | 16 | 1 | no | — |
| 103 | C4×C42⋊C3 | — | 2 | 2 | no | — |
| 104 | C4×C42⋊C3 | C22×C4 | 1 | 1 | yes | characteristic |
| 105 | C4×C42⋊C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | #4623 | — | 2 | 2 | no | — |
| 107 | #3444 | — | 3 | 2 | no | — |
| 108 | #3250 | — | 6 | 1 | no | — |
| 109 | #3250 | — | 6 | 1 | no | — |
| 110 | #3249 | — | 3 | 1 | no | — |
| 111 | #3248 | — | 6 | 2 | no | — |
| 112 | #3247 | — | 6 | 2 | no | — |
| 113 | #3246 | — | 3 | 2 | no | — |
| 114 | #3245 | — | 3 | 1 | no | — |
| 115 | #3076 | — | 6 | 2 | no | — |
| 116 | #3050 | — | 6 | 1 | no | — |
| 117 | #3050 | — | 6 | 1 | no | — |
| 118 | #3035 | — | 6 | 2 | no | — |
| 119 | #2994 | — | 12 | 2 | no | — |
| 120 | #2992 | — | 6 | 2 | no | — |
| 121 | #2992 | — | 6 | 2 | no | — |
| 122 | #2990 | — | 12 | 2 | no | — |
| 123 | #2989 | — | 6 | 2 | no | — |
| 124 | #2988 | — | 6 | 2 | no | — |
| 125 | #2962 | — | 6 | 2 | no | — |
| 126 | C2×#443 | — | 6 | 1 | no | — |
| 127 | C2×#443 | — | 6 | 1 | no | — |
| 128 | #2935 | — | 6 | 2 | no | — |
| 129 | #2929 | — | 6 | 2 | no | — |
| 130 | #2929 | — | 6 | 2 | no | — |
| 131 | #2925 | — | 6 | 2 | no | — |
| 132 | #2920 | — | 3 | 2 | no | — |
| 133 | #2920 | — | 3 | 2 | no | — |
| 134 | #2920 | — | 3 | 2 | no | — |
| 135 | #2906 | — | 6 | 2 | no | — |
| 136 | C22×C4⋊C8 | — | 3 | 1 | no | — |
| 137 | C22×C4⋊C8 | — | 3 | 1 | no | — |
| 138 | C22×C4⋊C8 | — | 3 | 1 | no | — |
| 139 | C22×C4⋊C8 | — | 3 | 1 | no | — |
| 140 | C22×C4×C8 | — | 3 | 1 | no | — |
| 141 | C22×C4×C8 | S4 | 1 | 1 | yes | characteristic |
| 142 | C2×C43 | — | 2 | 1 | no | — |
| 143 | C2×C43 | — | 3 | 1 | no | — |
| 144 | C2×C43 | — | 3 | 1 | no | — |
| 145 | C2×C43 | — | 6 | 1 | no | — |
| 146 | C2×C43 | C22×D3 | 1 | 1 | yes | characteristic |
| 147 | #1994 | — | 3 | 2 | no | — |
| 148 | #1994 | — | 3 | 2 | no | — |
| 149 | #1994 | — | 3 | 2 | no | — |
| 150 | #1994 | — | 3 | 2 | no | — |
| 151 | #1994 | — | 6 | 2 | no | — |
| 152 | #1974 | — | 6 | 1 | no | — |
| 153 | #1974 | — | 6 | 1 | no | — |
| 154 | #1962 | — | 3 | 2 | no | — |
| 155 | #1962 | — | 3 | 2 | no | — |
| 156 | #1962 | — | 3 | 2 | no | — |
| 157 | #1962 | — | 3 | 2 | no | — |
| 158 | #1962 | — | 6 | 2 | no | — |
| 159 | #1950 | — | 6 | 2 | no | — |
| 160 | #1950 | — | 6 | 2 | no | — |
| 161 | #1945 | — | 6 | 1 | no | — |
| 162 | #1945 | — | 6 | 1 | no | — |
| 163 | #1937 | — | 6 | 2 | no | — |
| 164 | #1937 | — | 6 | 2 | no | — |
| 165 | #1929 | — | 6 | 2 | no | — |
| 166 | #1929 | — | 6 | 2 | no | — |
| 167 | #1922 | — | 6 | 2 | no | — |
| 168 | #1922 | — | 6 | 2 | no | — |
| 169 | #1896 | — | 6 | 2 | no | — |
| 170 | #1896 | — | 6 | 2 | no | — |
| 171 | #1896 | — | 6 | 2 | no | — |
| 172 | #1896 | — | 6 | 2 | no | — |
| 173 | #1896 | — | 6 | 4 | no | — |
| 174 | #1876 | — | 6 | 2 | no | — |
| 175 | #1876 | — | 6 | 2 | no | — |
| 176 | #1866 | — | 6 | 2 | no | — |
| 177 | #1866 | — | 6 | 2 | no | — |
| 178 | #1842 | — | 3 | 1 | no | — |
| 179 | #1842 | — | 3 | 1 | no | — |
| 180 | #1842 | — | 3 | 1 | no | — |
| 181 | #1842 | — | 3 | 1 | no | — |
| 182 | #1842 | C4×D3 | 1 | 1 | yes | characteristic |
| 183 | #1842 | C4×D3 | 1 | 1 | yes | characteristic |
| 184 | #1842 | D12 | 1 | 1 | yes | characteristic |
| 185 | #1842 | D12 | 1 | 1 | yes | characteristic |
| 186 | #1810 | — | 6 | 1 | no | — |
| 187 | #1810 | — | 6 | 1 | no | — |
| 188 | #1772 | — | 6 | 1 | no | — |
| 189 | #1772 | — | 6 | 1 | no | — |
| 190 | C4×C4⋊C8 | — | 6 | 2 | no | — |
| 191 | C4×C4⋊C8 | — | 6 | 2 | no | — |
| 192 | C4×C4⋊C8 | — | 6 | 2 | no | — |
| 193 | C4×C4⋊C8 | — | 6 | 2 | no | — |
| 194 | #1764 | — | 6 | 2 | no | — |
| 195 | #1764 | — | 6 | 2 | no | — |
| 196 | C4×#104 | — | 6 | 2 | no | — |
| 197 | C4×#104 | — | 6 | 2 | no | — |
| 198 | C4×#104 | — | 6 | 2 | no | — |
| 199 | C4×#104 | — | 6 | 2 | no | — |
| 200 | C4×#104 | — | 12 | 2 | no | — |
| 201 | C2×#336 | — | 3 | 1 | no | — |
| 202 | C2×#336 | — | 3 | 1 | no | — |
| 203 | C2×#336 | — | 6 | 1 | no | — |
| 204 | #1573 | — | 12 | 2 | no | — |
| 205 | #1571 | — | 6 | 2 | no | — |
| 206 | #1570 | — | 6 | 2 | no | — |
| 207 | #1565 | — | 6 | 2 | no | — |
| 208 | #1565 | — | 6 | 2 | no | — |
| 209 | #1552 | — | 6 | 2 | no | — |
| 210 | #1551 | — | 6 | 2 | no | — |
| 211 | #1550 | — | 3 | 2 | no | — |
| 212 | #1550 | — | 3 | 2 | no | — |
| 213 | #1547 | — | 3 | 2 | no | — |
| 214 | #1547 | — | 3 | 2 | no | — |
| 215 | #1542 | — | 6 | 2 | no | — |
| 216 | #1540 | — | 6 | 2 | no | — |
| 217 | #1483 | — | 12 | 2 | no | — |
| 218 | #1481 | — | 6 | 2 | no | — |
| 219 | #1480 | — | 6 | 2 | no | — |
| 220 | #1477 | — | 6 | 2 | no | — |
| 221 | #1477 | — | 6 | 2 | no | — |
| 222 | #1301 | — | 6 | 2 | no | — |
| 223 | #1301 | — | 6 | 2 | no | — |
| 224 | #1292 | — | 3 | 1 | no | — |
| 225 | #1292 | — | 3 | 1 | no | — |
| 226 | #1292 | — | 3 | 2 | no | — |
| 227 | #1290 | — | 6 | 1 | no | — |
| 228 | #1290 | — | 6 | 1 | no | — |
| 229 | #1283 | — | 6 | 2 | no | — |
| 230 | #1283 | — | 6 | 2 | no | — |
| 231 | #1276 | — | 6 | 2 | no | — |
| 232 | #1276 | — | 6 | 2 | no | — |
| 233 | #1276 | — | 6 | 2 | no | — |
| 234 | #1276 | — | 6 | 2 | no | — |
| 235 | #1276 | — | 12 | 2 | no | — |
| 236 | C2×C4×A4 | — | 4 | 1 | no | — |
| 237 | C2×C4×A4 | — | 8 | 1 | no | — |
| 238 | GL(2,ℤ/4) | — | 8 | 2 | no | — |
| 239 | C4⋊S4 | — | 4 | 2 | no | — |
| 240 | C4×S4 | — | 8 | 2 | no | — |
| 241 | A4⋊Q8 | — | 4 | 2 | no | — |
| 242 | #904 | — | 16 | 1 | no | — |
| 243 | #901 | — | 16 | 2 | no | — |
| 244 | C8×A4 | — | 4 | 1 | no | — |
| 245 | C8×A4 | — | 4 | 1 | no | — |
| 246 | C8×A4 | — | 4 | 1 | no | — |
| 247 | C8×A4 | — | 4 | 1 | no | — |
| 248 | C2×C42⋊C3 | — | 2 | 1 | no | — |
| 249 | C2×C42⋊C3 | C4×D4 | 1 | 1 | yes | characteristic |
| 250 | A4⋊C8 | — | 8 | 2 | no | — |
| 251 | #857 | — | 4 | 2 | no | — |
| 252 | C3×C4×C8 | — | 16 | 1 | no | — |
| 253 | #819 | — | 16 | 1 | no | — |
| 254 | #805 | — | 16 | 2 | no | — |
| 255 | C2×#135 | — | 6 | 1 | no | — |
| 256 | C2×#135 | — | 6 | 1 | no | — |
| 257 | C2×#131 | — | 6 | 2 | no | — |
| 258 | C2×#131 | — | 6 | 2 | no | — |
| 259 | C23×C8 | — | 3 | 1 | no | — |
| 260 | C23×C8 | — | 3 | 1 | no | — |
| 261 | C23×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 262 | C23×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 263 | #533 | — | 3 | 2 | no | — |
| 264 | #533 | — | 3 | 2 | no | — |
| 265 | #533 | — | 3 | 2 | no | — |
| 266 | #532 | — | 3 | 2 | no | — |
| 267 | #532 | — | 3 | 2 | no | — |
| 268 | #532 | — | 3 | 2 | no | — |
| 269 | #529 | — | 6 | 2 | no | — |
| 270 | #529 | — | 6 | 2 | no | — |
| 271 | #529 | — | 6 | 2 | no | — |
| 272 | #529 | — | 6 | 2 | no | — |
| 273 | #529 | — | 6 | 2 | no | — |
| 274 | #529 | — | 6 | 2 | no | — |
| 275 | #525 | — | 6 | 2 | no | — |
| 276 | #525 | — | 6 | 2 | no | — |
| 277 | #525 | — | 6 | 2 | no | — |
| 278 | C4×#41 | — | 6 | 2 | no | — |
| 279 | C4×#41 | — | 6 | 2 | no | — |
| 280 | C4×#41 | — | 6 | 2 | no | — |
| 281 | C22×C42 | — | 3 | 1 | no | — |
| 282 | C22×C42 | — | 3 | 1 | no | — |
| 283 | C22×C42 | — | 3 | 1 | no | — |
| 284 | C22×C42 | — | 3 | 2 | no | — |
| 285 | C22×C42 | — | 6 | 1 | no | — |
| 286 | C22×C42 | — | 6 | 1 | no | — |
| 287 | C22×C42 | — | 6 | 1 | no | — |
| 288 | C22×C42 | #235 | 1 | 1 | yes | characteristic |
| 289 | C22×C42 | C2×S4 | 1 | 1 | yes | characteristic |
| 290 | #479 | — | 6 | 2 | no | — |
| 291 | #479 | — | 6 | 2 | no | — |
| 292 | #478 | — | 6 | 2 | no | — |
| 293 | #478 | — | 6 | 2 | no | — |
| 294 | #477 | — | 6 | 2 | no | — |
| 295 | #476 | — | 6 | 2 | no | — |
| 296 | #475 | — | 6 | 2 | no | — |
| 297 | #474 | — | 6 | 2 | no | — |
| 298 | #467 | — | 6 | 1 | no | — |
| 299 | #467 | — | 6 | 1 | no | — |
| 300 | #467 | — | 6 | 1 | no | — |
| 301 | #467 | — | 6 | 1 | no | — |
| 302 | #466 | — | 6 | 1 | no | — |
| 303 | #466 | — | 6 | 1 | no | — |
| 304 | #466 | — | 6 | 1 | no | — |
| 305 | #466 | — | 6 | 1 | no | — |
| 306 | #465 | — | 6 | 2 | no | — |
| 307 | #465 | — | 6 | 2 | no | — |
| 308 | #465 | — | 6 | 2 | no | — |
| 309 | #465 | — | 6 | 2 | no | — |
| 310 | #464 | — | 6 | 2 | no | — |
| 311 | #464 | — | 6 | 2 | no | — |
| 312 | #463 | — | 6 | 2 | no | — |
| 313 | #463 | — | 6 | 2 | no | — |
| 314 | #462 | — | 6 | 2 | no | — |
| 315 | #461 | — | 6 | 2 | no | — |
| 316 | #460 | — | 6 | 2 | no | — |
| 317 | #459 | — | 6 | 2 | no | — |
| 318 | #446 | — | 12 | 2 | no | — |
| 319 | #446 | — | 12 | 2 | no | — |
| 320 | #446 | — | 12 | 2 | no | — |
| 321 | C8×Q8 | — | 12 | 2 | no | — |
| 322 | #443 | — | 24 | 1 | no | — |
| 323 | #443 | — | 24 | 1 | no | — |
| 324 | #443 | — | 24 | 1 | no | — |
| 325 | #443 | — | 24 | 1 | no | — |
| 326 | #436 | — | 12 | 2 | no | — |
| 327 | #435 | — | 12 | 2 | no | — |
| 328 | #435 | — | 12 | 2 | no | — |
| 329 | #435 | — | 12 | 2 | no | — |
| 330 | #435 | — | 12 | 2 | no | — |
| 331 | #435 | — | 12 | 2 | no | — |
| 332 | #435 | — | 12 | 2 | no | — |
| 333 | C8×D4 | — | 12 | 2 | no | — |
| 334 | C8×D4 | — | 12 | 2 | no | — |
| 335 | C8×D4 | — | 12 | 2 | no | — |
| 336 | C8×D4 | — | 12 | 2 | no | — |
| 337 | C8×D4 | — | 12 | 2 | no | — |
| 338 | #433 | — | 12 | 2 | no | — |
| 339 | #433 | — | 12 | 2 | no | — |
| 340 | #432 | — | 6 | 2 | no | — |
| 341 | #432 | — | 6 | 2 | no | — |
| 342 | #432 | — | 6 | 2 | no | — |
| 343 | #432 | — | 6 | 2 | no | — |
| 344 | #432 | — | 6 | 2 | no | — |
| 345 | #432 | — | 6 | 2 | no | — |
| 346 | #432 | — | 12 | 2 | no | — |
| 347 | #431 | — | 6 | 2 | no | — |
| 348 | #431 | — | 6 | 2 | no | — |
| 349 | #431 | — | 6 | 2 | no | — |
| 350 | #431 | — | 6 | 2 | no | — |
| 351 | #431 | — | 6 | 2 | no | — |
| 352 | #431 | — | 6 | 2 | no | — |
| 353 | #431 | — | 12 | 2 | no | — |
| 354 | C2×#108 | — | 6 | 1 | no | — |
| 355 | C2×#108 | — | 6 | 1 | no | — |
| 356 | C2×#108 | — | 6 | 1 | no | — |
| 357 | C2×#108 | — | 6 | 1 | no | — |
| 358 | #427 | — | 6 | 1 | no | — |
| 359 | #427 | — | 6 | 1 | no | — |
| 360 | #424 | — | 6 | 2 | no | — |
| 361 | #424 | — | 6 | 2 | no | — |
| 362 | #424 | — | 12 | 2 | no | — |
| 363 | #424 | — | 12 | 2 | no | — |
| 364 | #423 | — | 3 | 2 | no | — |
| 365 | #423 | — | 3 | 2 | no | — |
| 366 | #423 | — | 3 | 2 | no | — |
| 367 | #423 | — | 3 | 2 | no | — |
| 368 | #423 | — | 6 | 2 | no | — |
| 369 | #423 | — | 12 | 2 | no | — |
| 370 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 371 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 372 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 373 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 374 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 375 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 376 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 377 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 378 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 379 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 380 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 381 | C2×C4⋊C8 | — | 3 | 1 | no | — |
| 382 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 383 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 384 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 385 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 386 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 387 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 388 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 389 | C2×C4⋊C8 | — | 6 | 2 | no | — |
| 390 | C2×C4⋊C8 | — | 6 | 1 | no | — |
| 391 | C2×C4⋊C8 | — | 6 | 1 | no | — |
| 392 | C2×C4⋊C8 | — | 12 | 2 | no | — |
| 393 | C2×#104 | — | 6 | 2 | no | — |
| 394 | C2×#104 | — | 6 | 2 | no | — |
| 395 | C2×#104 | — | 6 | 2 | no | — |
| 396 | C2×#104 | — | 6 | 2 | no | — |
| 397 | C2×#104 | — | 6 | 2 | no | — |
| 398 | C2×#104 | — | 6 | 2 | no | — |
| 399 | C2×#104 | — | 6 | 2 | no | — |
| 400 | C2×#104 | — | 6 | 2 | no | — |
| 401 | C2×#104 | — | 12 | 4 | no | — |
| 402 | #416 | — | 6 | 2 | no | — |
| 403 | #416 | — | 6 | 2 | no | — |
| 404 | #408 | — | 6 | 2 | no | — |
| 405 | #408 | — | 6 | 2 | no | — |
| 406 | #407 | — | 6 | 2 | no | — |
| 407 | #407 | — | 6 | 2 | no | — |
| 408 | #407 | — | 6 | 2 | no | — |
| 409 | #405 | — | 6 | 2 | no | — |
| 410 | #405 | — | 6 | 2 | no | — |
| 411 | C4×M16 | — | 6 | 2 | no | — |
| 412 | C4×M16 | — | 6 | 2 | no | — |
| 413 | C4×M16 | — | 6 | 2 | no | — |
| 414 | C2×C4×C8 | — | 6 | 1 | no | — |
| 415 | C2×C4×C8 | — | 6 | 1 | no | — |
| 416 | C2×C4×C8 | — | 6 | 1 | no | — |
| 417 | C2×C4×C8 | — | 6 | 1 | no | — |
| 418 | C2×C4×C8 | — | 12 | 1 | no | — |
| 419 | C2×C4×C8 | — | 12 | 1 | no | — |
| 420 | C43 | — | 2 | 2 | no | — |
| 421 | C43 | — | 3 | 1 | no | — |
| 422 | C43 | — | 3 | 1 | no | — |
| 423 | C43 | — | 3 | 2 | no | — |
| 424 | C43 | — | 3 | 2 | no | — |
| 425 | C43 | — | 6 | 2 | no | — |
| 426 | C43 | — | 6 | 2 | no | — |
| 427 | C43 | — | 6 | 2 | no | — |
| 428 | C43 | — | 6 | 2 | no | — |
| 429 | C43 | — | 12 | 4 | no | — |
| 430 | C43 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 431 | C43 | C2×D12 | 1 | 1 | yes | characteristic |
| 432 | #341 | — | 6 | 2 | no | — |
| 433 | #341 | — | 6 | 2 | no | — |
| 434 | #339 | — | 6 | 2 | no | — |
| 435 | #339 | — | 6 | 2 | no | — |
| 436 | #339 | — | 6 | 2 | no | — |
| 437 | #339 | — | 6 | 2 | no | — |
| 438 | #339 | — | 6 | 2 | no | — |
| 439 | #339 | — | 6 | 2 | no | — |
| 440 | #339 | — | 6 | 2 | no | — |
| 441 | #339 | — | 6 | 2 | no | — |
| 442 | #339 | — | 12 | 4 | no | — |
| 443 | #336 | — | 6 | 2 | no | — |
| 444 | #336 | — | 6 | 2 | no | — |
| 445 | #336 | — | 12 | 2 | no | — |
| 446 | #335 | — | 12 | 2 | no | — |
| 447 | #335 | — | 12 | 2 | no | — |
| 448 | #334 | — | 12 | 2 | no | — |
| 449 | #334 | — | 12 | 2 | no | — |
| 450 | #333 | — | 6 | 2 | no | — |
| 451 | #333 | — | 6 | 2 | no | — |
| 452 | #332 | — | 6 | 2 | no | — |
| 453 | #332 | — | 6 | 2 | no | — |
| 454 | #332 | — | 6 | 2 | no | — |
| 455 | #332 | — | 6 | 2 | no | — |
| 456 | #331 | — | 6 | 2 | no | — |
| 457 | #331 | — | 6 | 2 | no | — |
| 458 | Q8⋊C8 | — | 12 | 2 | no | — |
| 459 | Q8⋊C8 | — | 12 | 2 | no | — |
| 460 | D4⋊C8 | — | 12 | 2 | no | — |
| 461 | D4⋊C8 | — | 12 | 2 | no | — |
| 462 | C22×A4 | — | 4 | 1 | no | — |
| 463 | C2×S4 | — | 8 | 2 | no | — |
| 464 | #235 | — | 16 | 2 | no | — |
| 465 | C4×A4 | — | 4 | 1 | no | — |
| 466 | C4×A4 | — | 4 | 1 | no | — |
| 467 | C4×A4 | — | 8 | 2 | no | — |
| 468 | SL(2,ℤ/4) | — | 8 | 2 | no | — |
| 469 | C2×C3×C8 | — | 16 | 1 | no | — |
| 470 | C2×C3×C8 | — | 16 | 1 | no | — |
| 471 | C3×C42 | — | 16 | 1 | no | — |
| 472 | #208 | — | 16 | 2 | no | — |
| 473 | Dic12 | — | 16 | 1 | no | — |
| 474 | D24 | — | 16 | 1 | no | — |
| 475 | #204 | — | 16 | 2 | no | — |
| 476 | ΓL(1,𝔽25) | — | 32 | 2 | no | — |
| 477 | D3×C8 | — | 32 | 2 | no | — |
| 478 | C42⋊C3 | #443 | 1 | 1 | yes | characteristic, complemented |
| 479 | C2×#41 | — | 6 | 2 | no | — |
| 480 | C2×#41 | — | 6 | 2 | no | — |
| 481 | C2×#41 | — | 6 | 2 | no | — |
| 482 | C23×C4 | — | 2 | 1 | no | — |
| 483 | C23×C4 | — | 3 | 1 | no | — |
| 484 | C23×C4 | — | 3 | 1 | no | — |
| 485 | C23×C4 | — | 6 | 1 | no | — |
| 486 | C23×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 487 | #135 | — | 24 | 1 | no | — |
| 488 | #135 | — | 24 | 1 | no | — |
| 489 | #135 | — | 24 | 1 | no | — |
| 490 | #135 | — | 24 | 1 | no | — |
| 491 | C2×Q16 | — | 6 | 1 | no | — |
| 492 | C2×Q16 | — | 6 | 1 | no | — |
| 493 | C2×SD16 | — | 6 | 2 | no | — |
| 494 | C2×SD16 | — | 6 | 2 | no | — |
| 495 | C2×D8 | — | 6 | 1 | no | — |
| 496 | C2×D8 | — | 6 | 1 | no | — |
| 497 | #131 | — | 24 | 2 | no | — |
| 498 | #131 | — | 24 | 2 | no | — |
| 499 | #131 | — | 24 | 2 | no | — |
| 500 | #131 | — | 24 | 2 | no | — |
| 501 | C2×M16 | — | 6 | 2 | no | — |
| 502 | C2×M16 | — | 6 | 2 | no | — |
| 503 | C2×M16 | — | 6 | 2 | no | — |
| 504 | C2×M16 | — | 6 | 2 | no | — |
| 505 | C2×M16 | — | 12 | 2 | no | — |
| 506 | C2×M16 | — | 12 | 2 | no | — |
| 507 | C2×M16 | — | 12 | 2 | no | — |
| 508 | C22×C8 | — | 3 | 1 | no | — |
| 509 | C22×C8 | — | 3 | 1 | no | — |
| 510 | C22×C8 | — | 3 | 1 | no | — |
| 511 | C22×C8 | — | 3 | 1 | no | — |
| 512 | C22×C8 | — | 6 | 1 | no | — |
| 513 | C22×C8 | — | 6 | 1 | no | — |
| 514 | C22×C8 | — | 6 | 1 | no | — |
| 515 | C22×C8 | — | 6 | 1 | no | — |
| 516 | C22×C8 | — | 6 | 1 | no | — |
| 517 | C22×C8 | — | 6 | 1 | no | — |
| 518 | C22×C8 | — | 6 | 1 | no | — |
| 519 | C22×C8 | — | 6 | 1 | no | — |
| 520 | C22×C8 | — | 12 | 2 | no | — |
| 521 | C22×C8 | — | 12 | 2 | no | — |
| 522 | C22×C8 | — | 12 | 1 | no | — |
| 523 | C22×C8 | — | 12 | 1 | no | — |
| 524 | C22×C8 | — | 12 | 1 | no | — |
| 525 | C22×C8 | — | 12 | 1 | no | — |
| 526 | C22×C8 | C4×S4 | 1 | 1 | yes | characteristic |
| 527 | C22×C8 | C4×S4 | 1 | 1 | yes | characteristic |
| 528 | C22×C8 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 529 | C22×C8 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 530 | C4⋊Q8 | — | 3 | 2 | no | — |
| 531 | C4⋊Q8 | — | 3 | 2 | no | — |
| 532 | C4⋊Q8 | — | 3 | 2 | no | — |
| 533 | #127 | — | 3 | 2 | no | — |
| 534 | #126 | — | 12 | 2 | no | — |
| 535 | #126 | — | 12 | 2 | no | — |
| 536 | #125 | — | 6 | 2 | no | — |
| 537 | #125 | — | 6 | 2 | no | — |
| 538 | #125 | — | 6 | 2 | no | — |
| 539 | #124 | — | 6 | 2 | no | — |
| 540 | #124 | — | 6 | 2 | no | — |
| 541 | #124 | — | 6 | 2 | no | — |
| 542 | #123 | — | 12 | 2 | no | — |
| 543 | #123 | — | 12 | 2 | no | — |
| 544 | #123 | — | 12 | 2 | no | — |
| 545 | C22⋊Q8 | — | 6 | 2 | no | — |
| 546 | C22⋊Q8 | — | 6 | 2 | no | — |
| 547 | C22⋊Q8 | — | 6 | 2 | no | — |
| 548 | C22⋊Q8 | — | 6 | 2 | no | — |
| 549 | C22⋊Q8 | — | 6 | 2 | no | — |
| 550 | C22⋊Q8 | — | 6 | 2 | no | — |
| 551 | #121 | — | 6 | 2 | no | — |
| 552 | #121 | — | 6 | 2 | no | — |
| 553 | #121 | — | 6 | 2 | no | — |
| 554 | #121 | — | 6 | 2 | no | — |
| 555 | #121 | — | 6 | 2 | no | — |
| 556 | #121 | — | 6 | 2 | no | — |
| 557 | #120 | — | 12 | 2 | no | — |
| 558 | C4×Q8 | — | 6 | 2 | no | — |
| 559 | C4×Q8 | — | 6 | 2 | no | — |
| 560 | C4×Q8 | — | 6 | 2 | no | — |
| 561 | C4×Q8 | — | 6 | 2 | no | — |
| 562 | C4×Q8 | — | 6 | 2 | no | — |
| 563 | C4×Q8 | — | 6 | 2 | no | — |
| 564 | C4×D4 | — | 6 | 2 | no | — |
| 565 | C4×D4 | — | 6 | 2 | no | — |
| 566 | C4×D4 | — | 6 | 2 | no | — |
| 567 | C4×D4 | — | 6 | 2 | no | — |
| 568 | C4×D4 | — | 6 | 2 | no | — |
| 569 | C4×D4 | — | 6 | 2 | no | — |
| 570 | C4×D4 | — | 12 | 2 | no | — |
| 571 | C4×D4 | — | 12 | 2 | no | — |
| 572 | C4×D4 | — | 12 | 2 | no | — |
| 573 | C4×D4 | — | 12 | 2 | no | — |
| 574 | C4×D4 | — | 12 | 2 | no | — |
| 575 | C4×D4 | — | 12 | 2 | no | — |
| 576 | #117 | — | 6 | 2 | no | — |
| 577 | #117 | — | 6 | 2 | no | — |
| 578 | #117 | — | 6 | 2 | no | — |
| 579 | #117 | — | 12 | 2 | no | — |
| 580 | #117 | — | 12 | 2 | no | — |
| 581 | #117 | — | 12 | 2 | no | — |
| 582 | C2×C42 | — | 2 | 1 | no | — |
| 583 | C2×C42 | — | 3 | 2 | no | — |
| 584 | C2×C42 | — | 3 | 2 | no | — |
| 585 | C2×C42 | — | 3 | 2 | no | — |
| 586 | C2×C42 | — | 3 | 2 | no | — |
| 587 | C2×C42 | — | 3 | 1 | no | — |
| 588 | C2×C42 | — | 3 | 1 | no | — |
| 589 | C2×C42 | — | 3 | 1 | no | — |
| 590 | C2×C42 | — | 3 | 1 | no | — |
| 591 | C2×C42 | — | 3 | 1 | no | — |
| 592 | C2×C42 | — | 3 | 1 | no | — |
| 593 | C2×C42 | — | 3 | 1 | no | — |
| 594 | C2×C42 | — | 3 | 1 | no | — |
| 595 | C2×C42 | — | 3 | 1 | no | — |
| 596 | C2×C42 | — | 3 | 2 | no | — |
| 597 | C2×C42 | — | 6 | 1 | no | — |
| 598 | C2×C42 | — | 6 | 1 | no | — |
| 599 | C2×C42 | — | 6 | 2 | no | — |
| 600 | C2×C42 | — | 6 | 2 | no | — |
| 601 | C2×C42 | — | 6 | 2 | no | — |
| 602 | C2×C42 | — | 6 | 2 | no | — |
| 603 | C2×C42 | — | 6 | 4 | no | — |
| 604 | C2×C42 | — | 6 | 4 | no | — |
| 605 | C2×C42 | — | 6 | 1 | no | — |
| 606 | C2×C42 | — | 6 | 2 | no | — |
| 607 | C2×C42 | — | 6 | 2 | no | — |
| 608 | C2×C42 | — | 6 | 1 | no | — |
| 609 | C2×C42 | — | 6 | 2 | no | — |
| 610 | C2×C42 | — | 6 | 2 | no | — |
| 611 | C2×C42 | — | 12 | 2 | no | — |
| 612 | C2×C42 | — | 12 | 1 | no | — |
| 613 | C2×C42 | — | 12 | 1 | no | — |
| 614 | C2×C42 | — | 12 | 2 | no | — |
| 615 | C2×C42 | — | 12 | 4 | no | — |
| 616 | C2×C42 | — | 12 | 2 | no | — |
| 617 | C2×C42 | — | 12 | 2 | no | — |
| 618 | C2×C42 | — | 12 | 4 | no | — |
| 619 | C2×C42 | C4×D12 | 1 | 1 | yes | characteristic |
| 620 | #108 | — | 24 | 1 | no | — |
| 621 | #108 | — | 24 | 1 | no | — |
| 622 | #108 | — | 24 | 1 | no | — |
| 623 | #108 | — | 24 | 1 | no | — |
| 624 | #107 | — | 6 | 1 | no | — |
| 625 | #107 | — | 6 | 1 | no | — |
| 626 | #107 | — | 6 | 1 | no | — |
| 627 | #107 | — | 6 | 1 | no | — |
| 628 | #106 | — | 6 | 2 | no | — |
| 629 | #106 | — | 6 | 2 | no | — |
| 630 | C4⋊C8 | — | 6 | 2 | no | — |
| 631 | C4⋊C8 | — | 6 | 2 | no | — |
| 632 | C4⋊C8 | — | 6 | 2 | no | — |
| 633 | C4⋊C8 | — | 6 | 2 | no | — |
| 634 | C4⋊C8 | — | 6 | 2 | no | — |
| 635 | C4⋊C8 | — | 6 | 2 | no | — |
| 636 | C4⋊C8 | — | 6 | 2 | no | — |
| 637 | C4⋊C8 | — | 6 | 2 | no | — |
| 638 | C4⋊C8 | — | 6 | 2 | no | — |
| 639 | C4⋊C8 | — | 6 | 2 | no | — |
| 640 | C4⋊C8 | — | 6 | 2 | no | — |
| 641 | C4⋊C8 | — | 6 | 2 | no | — |
| 642 | C4⋊C8 | — | 6 | 2 | no | — |
| 643 | C4⋊C8 | — | 6 | 2 | no | — |
| 644 | C4⋊C8 | — | 6 | 2 | no | — |
| 645 | C4⋊C8 | — | 6 | 2 | no | — |
| 646 | C4⋊C8 | — | 6 | 2 | no | — |
| 647 | C4⋊C8 | — | 6 | 2 | no | — |
| 648 | C4⋊C8 | — | 6 | 2 | no | — |
| 649 | C4⋊C8 | — | 6 | 2 | no | — |
| 650 | C4⋊C8 | — | 12 | 2 | no | — |
| 651 | C4⋊C8 | — | 12 | 2 | no | — |
| 652 | C4⋊C8 | — | 12 | 2 | no | — |
| 653 | C4⋊C8 | — | 12 | 2 | no | — |
| 654 | C4⋊C8 | — | 12 | 2 | no | — |
| 655 | C4⋊C8 | — | 12 | 2 | no | — |
| 656 | C4⋊C8 | — | 12 | 2 | no | — |
| 657 | C4⋊C8 | — | 12 | 2 | no | — |
| 658 | #104 | — | 12 | 2 | no | — |
| 659 | #104 | — | 12 | 4 | no | — |
| 660 | #104 | — | 12 | 4 | no | — |
| 661 | #104 | — | 12 | 2 | no | — |
| 662 | #104 | — | 12 | 2 | no | — |
| 663 | #104 | — | 12 | 2 | no | — |
| 664 | #104 | — | 24 | 2 | no | — |
| 665 | #104 | — | 24 | 2 | no | — |
| 666 | #104 | — | 24 | 2 | no | — |
| 667 | #104 | — | 24 | 2 | no | — |
| 668 | #104 | — | 24 | 8 | no | — |
| 669 | #103 | — | 6 | 2 | no | — |
| 670 | #103 | — | 6 | 2 | no | — |
| 671 | #103 | — | 6 | 2 | no | — |
| 672 | #103 | — | 6 | 2 | no | — |
| 673 | #102 | — | 6 | 2 | no | — |
| 674 | #102 | — | 6 | 2 | no | — |
| 675 | #102 | — | 6 | 2 | no | — |
| 676 | #102 | — | 6 | 2 | no | — |
| 677 | C22⋊C8 | — | 12 | 2 | no | — |
| 678 | C22⋊C8 | — | 12 | 2 | no | — |
| 679 | C22⋊C8 | — | 12 | 2 | no | — |
| 680 | C22⋊C8 | — | 12 | 2 | no | — |
| 681 | C22⋊C8 | — | 12 | 2 | no | — |
| 682 | C22⋊C8 | — | 12 | 2 | no | — |
| 683 | C22⋊C8 | — | 12 | 2 | no | — |
| 684 | C22⋊C8 | — | 12 | 2 | no | — |
| 685 | C22⋊C8 | — | 12 | 2 | no | — |
| 686 | C22⋊C8 | — | 12 | 2 | no | — |
| 687 | #97 | — | 12 | 2 | no | — |
| 688 | #97 | — | 12 | 2 | no | — |
| 689 | #97 | — | 12 | 2 | no | — |
| 690 | #97 | — | 12 | 2 | no | — |
| 691 | #97 | — | 12 | 2 | no | — |
| 692 | C4×C8 | — | 4 | 1 | no | — |
| 693 | C4×C8 | — | 12 | 1 | no | — |
| 694 | C4×C8 | — | 12 | 2 | no | — |
| 695 | C4×C8 | — | 12 | 1 | no | — |
| 696 | C4×C8 | — | 12 | 2 | no | — |
| 697 | C4×C8 | — | 12 | 2 | no | — |
| 698 | C4×C8 | — | 12 | 2 | no | — |
| 699 | C4×C8 | — | 12 | 2 | no | — |
| 700 | C4×C8 | — | 12 | 1 | no | — |
| 701 | C4×C8 | — | 24 | 1 | no | — |
| 702 | C2×A4 | — | 4 | 1 | no | — |
| 703 | C2×A4 | — | 8 | 1 | no | — |
| 704 | S4 | — | 16 | 2 | no | — |
| 705 | C2×C3×C4 | — | 16 | 1 | no | — |
| 706 | C2×C3×C4 | — | 32 | 1 | no | — |
| 707 | #67 | — | 32 | 2 | no | — |
| 708 | D12 | — | 16 | 2 | no | — |
| 709 | C4×D3 | — | 32 | 2 | no | — |
| 710 | Dic6 | — | 16 | 2 | no | — |
| 711 | C3×C8 | — | 16 | 1 | no | — |
| 712 | C3×C8 | — | 16 | 1 | no | — |
| 713 | C3×C8 | — | 16 | 1 | no | — |
| 714 | C3×C8 | — | 16 | 1 | no | — |
| 715 | C3⋊C8 | — | 32 | 2 | no | — |
| 716 | C24 | #5912 | 1 | 1 | yes | characteristic |
| 717 | #41 | — | 12 | 2 | no | — |
| 718 | #41 | — | 12 | 2 | no | — |
| 719 | #41 | — | 12 | 2 | no | — |
| 720 | #41 | — | 12 | 2 | no | — |
| 721 | #41 | — | 12 | 2 | no | — |
| 722 | #41 | — | 12 | 2 | no | — |
| 723 | #41 | — | 12 | 2 | no | — |
| 724 | #41 | — | 12 | 2 | no | — |
| 725 | #41 | — | 24 | 4 | no | — |
| 726 | C2×Q8 | — | 6 | 2 | no | — |
| 727 | C2×Q8 | — | 6 | 2 | no | — |
| 728 | C2×Q8 | — | 6 | 2 | no | — |
| 729 | C2×D4 | — | 6 | 2 | no | — |
| 730 | C2×D4 | — | 6 | 2 | no | — |
| 731 | C2×D4 | — | 6 | 2 | no | — |
| 732 | C2×D4 | — | 12 | 2 | no | — |
| 733 | C2×D4 | — | 12 | 2 | no | — |
| 734 | C2×D4 | — | 12 | 2 | no | — |
| 735 | C22×C4 | — | 2 | 2 | no | — |
| 736 | C22×C4 | — | 3 | 1 | no | — |
| 737 | C22×C4 | — | 3 | 1 | no | — |
| 738 | C22×C4 | — | 3 | 1 | no | — |
| 739 | C22×C4 | — | 3 | 1 | no | — |
| 740 | C22×C4 | — | 3 | 1 | no | — |
| 741 | C22×C4 | — | 3 | 2 | no | — |
| 742 | C22×C4 | — | 3 | 2 | no | — |
| 743 | C22×C4 | — | 3 | 2 | no | — |
| 744 | C22×C4 | — | 3 | 1 | no | — |
| 745 | C22×C4 | — | 3 | 2 | no | — |
| 746 | C22×C4 | — | 3 | 1 | no | — |
| 747 | C22×C4 | — | 3 | 1 | no | — |
| 748 | C22×C4 | — | 6 | 1 | no | — |
| 749 | C22×C4 | — | 6 | 1 | no | — |
| 750 | C22×C4 | — | 6 | 1 | no | — |
| 751 | C22×C4 | — | 6 | 2 | no | — |
| 752 | C22×C4 | — | 6 | 1 | no | — |
| 753 | C22×C4 | — | 6 | 2 | no | — |
| 754 | C22×C4 | — | 6 | 2 | no | — |
| 755 | C22×C4 | — | 6 | 2 | no | — |
| 756 | C22×C4 | — | 6 | 2 | no | — |
| 757 | C22×C4 | — | 12 | 2 | no | — |
| 758 | C22×C4 | — | 12 | 2 | no | — |
| 759 | C22×C4 | — | 12 | 2 | no | — |
| 760 | C22×C4 | — | 12 | 2 | no | — |
| 761 | C22×C4 | — | 12 | 2 | no | — |
| 762 | C22×C4 | — | 12 | 2 | no | — |
| 763 | C22×C4 | C2×C4×S4 | 1 | 1 | yes | characteristic |
| 764 | C22×C4 | C2×C4⋊S4 | 1 | 1 | yes | characteristic |
| 765 | Q16 | — | 24 | 1 | no | — |
| 766 | Q16 | — | 24 | 1 | no | — |
| 767 | SD16 | — | 24 | 2 | no | — |
| 768 | SD16 | — | 24 | 2 | no | — |
| 769 | D8 | — | 24 | 1 | no | — |
| 770 | D8 | — | 24 | 1 | no | — |
| 771 | M16 | — | 12 | 2 | no | — |
| 772 | M16 | — | 12 | 2 | no | — |
| 773 | M16 | — | 12 | 2 | no | — |
| 774 | M16 | — | 12 | 2 | no | — |
| 775 | M16 | — | 12 | 2 | no | — |
| 776 | M16 | — | 12 | 2 | no | — |
| 777 | M16 | — | 12 | 2 | no | — |
| 778 | M16 | — | 12 | 2 | no | — |
| 779 | M16 | — | 24 | 4 | no | — |
| 780 | M16 | — | 48 | 2 | no | — |
| 781 | M16 | — | 48 | 2 | no | — |
| 782 | C2×C8 | — | 4 | 1 | no | — |
| 783 | C2×C8 | — | 4 | 1 | no | — |
| 784 | C2×C8 | — | 6 | 1 | no | — |
| 785 | C2×C8 | — | 6 | 1 | no | — |
| 786 | C2×C8 | — | 6 | 1 | no | — |
| 787 | C2×C8 | — | 6 | 1 | no | — |
| 788 | C2×C8 | — | 6 | 1 | no | — |
| 789 | C2×C8 | — | 6 | 1 | no | — |
| 790 | C2×C8 | — | 6 | 1 | no | — |
| 791 | C2×C8 | — | 6 | 1 | no | — |
| 792 | C2×C8 | — | 12 | 1 | no | — |
| 793 | C2×C8 | — | 12 | 1 | no | — |
| 794 | C2×C8 | — | 12 | 1 | no | — |
| 795 | C2×C8 | — | 12 | 1 | no | — |
| 796 | C2×C8 | — | 12 | 1 | no | — |
| 797 | C2×C8 | — | 12 | 1 | no | — |
| 798 | C2×C8 | — | 12 | 1 | no | — |
| 799 | C2×C8 | — | 12 | 1 | no | — |
| 800 | C2×C8 | — | 12 | 1 | no | — |
| 801 | C2×C8 | — | 12 | 1 | no | — |
| 802 | C2×C8 | — | 12 | 2 | no | — |
| 803 | C2×C8 | — | 12 | 2 | no | — |
| 804 | C2×C8 | — | 12 | 2 | no | — |
| 805 | C2×C8 | — | 12 | 2 | no | — |
| 806 | C2×C8 | — | 24 | 1 | no | — |
| 807 | C2×C8 | — | 24 | 1 | no | — |
| 808 | C2×C8 | — | 24 | 2 | no | — |
| 809 | C2×C8 | — | 48 | 2 | no | — |
| 810 | C2×C8 | — | 48 | 2 | no | — |
| 811 | C4⋊C4 | — | 6 | 2 | no | — |
| 812 | C4⋊C4 | — | 6 | 2 | no | — |
| 813 | C4⋊C4 | — | 6 | 2 | no | — |
| 814 | C4⋊C4 | — | 6 | 2 | no | — |
| 815 | C4⋊C4 | — | 6 | 2 | no | — |
| 816 | C4⋊C4 | — | 6 | 2 | no | — |
| 817 | C4⋊C4 | — | 12 | 2 | no | — |
| 818 | C4⋊C4 | — | 12 | 2 | no | — |
| 819 | C4⋊C4 | — | 12 | 2 | no | — |
| 820 | C4⋊C4 | — | 12 | 2 | no | — |
| 821 | C4⋊C4 | — | 12 | 2 | no | — |
| 822 | C4⋊C4 | — | 12 | 2 | no | — |
| 823 | C22⋊C4 | — | 12 | 2 | no | — |
| 824 | C22⋊C4 | — | 12 | 2 | no | — |
| 825 | C22⋊C4 | — | 12 | 2 | no | — |
| 826 | C22⋊C4 | — | 12 | 2 | no | — |
| 827 | C22⋊C4 | — | 12 | 2 | no | — |
| 828 | C22⋊C4 | — | 12 | 2 | no | — |
| 829 | C22⋊C4 | — | 12 | 2 | no | — |
| 830 | C22⋊C4 | — | 12 | 2 | no | — |
| 831 | C22⋊C4 | — | 12 | 2 | no | — |
| 832 | C42 | — | 3 | 1 | no | — |
| 833 | C42 | — | 3 | 2 | no | — |
| 834 | C42 | — | 3 | 2 | no | — |
| 835 | C42 | — | 3 | 2 | no | — |
| 836 | C42 | — | 3 | 2 | no | — |
| 837 | C42 | — | 3 | 2 | no | — |
| 838 | C42 | — | 3 | 2 | no | — |
| 839 | C42 | — | 3 | 2 | no | — |
| 840 | C42 | — | 3 | 2 | no | — |
| 841 | C42 | — | 3 | 2 | no | — |
| 842 | C42 | — | 3 | 2 | no | — |
| 843 | C42 | — | 3 | 1 | no | — |
| 844 | C42 | — | 6 | 1 | no | — |
| 845 | C42 | — | 6 | 1 | no | — |
| 846 | C42 | — | 6 | 2 | no | — |
| 847 | C42 | — | 6 | 2 | no | — |
| 848 | C42 | — | 6 | 2 | no | — |
| 849 | C42 | — | 6 | 2 | no | — |
| 850 | C42 | — | 6 | 4 | no | — |
| 851 | C42 | — | 6 | 4 | no | — |
| 852 | C42 | — | 6 | 4 | no | — |
| 853 | C42 | — | 6 | 4 | no | — |
| 854 | C42 | — | 6 | 8 | no | — |
| 855 | C42 | — | 12 | 2 | no | — |
| 856 | C42 | — | 12 | 2 | no | — |
| 857 | C42 | — | 12 | 2 | no | — |
| 858 | C42 | — | 12 | 4 | no | — |
| 859 | C42 | — | 12 | 2 | no | — |
| 860 | C42 | — | 12 | 4 | no | — |
| 861 | C42 | — | 12 | 4 | no | — |
| 862 | C42 | — | 12 | 4 | no | — |
| 863 | C42 | — | 12 | 2 | no | — |
| 864 | C42 | — | 12 | 4 | no | — |
| 865 | C42 | #4700 | 1 | 1 | yes | characteristic, complemented |
| 866 | C42 | #857⋊C2 | 1 | 1 | yes | characteristic |
| 867 | C22×C3 | — | 16 | 1 | no | — |
| 868 | C2×D3 | — | 32 | 2 | no | — |
| 869 | A4 | — | 4 | 1 | no | — |
| 870 | C3×C4 | — | 16 | 1 | no | — |
| 871 | C3×C4 | — | 16 | 1 | no | — |
| 872 | C3×C4 | — | 32 | 2 | no | — |
| 873 | Dic3 | — | 32 | 2 | no | — |
| 874 | C23 | — | 2 | 1 | no | — |
| 875 | C23 | — | 3 | 1 | no | — |
| 876 | C23 | — | 3 | 1 | no | — |
| 877 | C23 | — | 6 | 1 | no | — |
| 878 | C23 | — | 12 | 2 | no | — |
| 879 | C23 | C4×C4⋊S4 | 1 | 1 | yes | characteristic |
| 880 | Q8 | — | 12 | 2 | no | — |
| 881 | Q8 | — | 12 | 2 | no | — |
| 882 | Q8 | — | 12 | 2 | no | — |
| 883 | Q8 | — | 12 | 2 | no | — |
| 884 | Q8 | — | 24 | 2 | no | — |
| 885 | D4 | — | 12 | 2 | no | — |
| 886 | D4 | — | 12 | 2 | no | — |
| 887 | D4 | — | 12 | 2 | no | — |
| 888 | D4 | — | 12 | 2 | no | — |
| 889 | D4 | — | 24 | 2 | no | — |
| 890 | D4 | — | 24 | 2 | no | — |
| 891 | D4 | — | 24 | 2 | no | — |
| 892 | D4 | — | 24 | 4 | no | — |
| 893 | D4 | — | 24 | 2 | no | — |
| 894 | D4 | — | 24 | 2 | no | — |
| 895 | C2×C4 | — | 2 | 1 | no | — |
| 896 | C2×C4 | — | 3 | 2 | no | — |
| 897 | C2×C4 | — | 3 | 2 | no | — |
| 898 | C2×C4 | — | 3 | 1 | no | — |
| 899 | C2×C4 | — | 3 | 1 | no | — |
| 900 | C2×C4 | — | 3 | 1 | no | — |
| 901 | C2×C4 | — | 3 | 1 | no | — |
| 902 | C2×C4 | — | 3 | 1 | no | — |
| 903 | C2×C4 | — | 3 | 1 | no | — |
| 904 | C2×C4 | — | 3 | 1 | no | — |
| 905 | C2×C4 | — | 3 | 1 | no | — |
| 906 | C2×C4 | — | 3 | 1 | no | — |
| 907 | C2×C4 | — | 3 | 2 | no | — |
| 908 | C2×C4 | — | 3 | 2 | no | — |
| 909 | C2×C4 | — | 3 | 2 | no | — |
| 910 | C2×C4 | — | 6 | 2 | no | — |
| 911 | C2×C4 | — | 6 | 2 | no | — |
| 912 | C2×C4 | — | 6 | 1 | no | — |
| 913 | C2×C4 | — | 6 | 2 | no | — |
| 914 | C2×C4 | — | 6 | 2 | no | — |
| 915 | C2×C4 | — | 6 | 2 | no | — |
| 916 | C2×C4 | — | 6 | 2 | no | — |
| 917 | C2×C4 | — | 6 | 4 | no | — |
| 918 | C2×C4 | — | 6 | 1 | no | — |
| 919 | C2×C4 | — | 6 | 2 | no | — |
| 920 | C2×C4 | — | 6 | 1 | no | — |
| 921 | C2×C4 | — | 6 | 1 | no | — |
| 922 | C2×C4 | — | 6 | 2 | no | — |
| 923 | C2×C4 | — | 6 | 4 | no | — |
| 924 | C2×C4 | — | 12 | 1 | no | — |
| 925 | C2×C4 | — | 12 | 1 | no | — |
| 926 | C2×C4 | — | 12 | 2 | no | — |
| 927 | C2×C4 | — | 12 | 4 | no | — |
| 928 | C2×C4 | — | 12 | 2 | no | — |
| 929 | C2×C4 | — | 12 | 2 | no | — |
| 930 | C2×C4 | — | 12 | 4 | no | — |
| 931 | C2×C4 | — | 12 | 2 | no | — |
| 932 | C2×C4 | — | 12 | 2 | no | — |
| 933 | C2×C4 | — | 12 | 2 | no | — |
| 934 | C2×C4 | — | 24 | 2 | no | — |
| 935 | C2×C4 | — | 24 | 2 | no | — |
| 936 | C2×C4 | — | 24 | 2 | no | — |
| 937 | C2×C4 | — | 24 | 2 | no | — |
| 938 | C2×C4 | — | 48 | 2 | no | — |
| 939 | C2×C4 | C2×#857⋊C2 | 1 | 1 | yes | characteristic |
| 940 | C8 | — | 4 | 1 | no | — |
| 941 | C8 | — | 4 | 1 | no | — |
| 942 | C8 | — | 4 | 1 | no | — |
| 943 | C8 | — | 4 | 1 | no | — |
| 944 | C8 | — | 12 | 1 | no | — |
| 945 | C8 | — | 12 | 1 | no | — |
| 946 | C8 | — | 12 | 1 | no | — |
| 947 | C8 | — | 12 | 1 | no | — |
| 948 | C8 | — | 24 | 2 | no | — |
| 949 | C8 | — | 24 | 2 | no | — |
| 950 | C8 | — | 24 | 2 | no | — |
| 951 | C8 | — | 24 | 2 | no | — |
| 952 | C8 | — | 48 | 2 | no | — |
| 953 | C2×C3 | — | 16 | 1 | no | — |
| 954 | C2×C3 | — | 32 | 1 | no | — |
| 955 | D3 | — | 64 | 2 | no | — |
| 956 | C22 | — | 3 | 1 | no | — |
| 957 | C22 | — | 3 | 1 | no | — |
| 958 | C22 | — | 3 | 2 | no | — |
| 959 | C22 | — | 3 | 1 | no | — |
| 960 | C22 | — | 6 | 1 | no | — |
| 961 | C22 | — | 6 | 1 | no | — |
| 962 | C22 | — | 6 | 1 | no | — |
| 963 | C22 | — | 24 | 2 | no | — |
| 964 | C22 | — | 24 | 2 | no | — |
| 965 | C22 | — | 24 | 2 | no | — |
| 966 | C22 | #11712861 | 1 | 1 | yes | characteristic |
| 967 | C22 | #11713241 | 1 | 1 | yes | characteristic |
| 968 | C4 | — | 2 | 2 | no | — |
| 969 | C4 | — | 3 | 2 | no | — |
| 970 | C4 | — | 3 | 2 | no | — |
| 971 | C4 | — | 3 | 1 | no | — |
| 972 | C4 | — | 3 | 1 | no | — |
| 973 | C4 | — | 6 | 2 | no | — |
| 974 | C4 | — | 6 | 2 | no | — |
| 975 | C4 | — | 6 | 2 | no | — |
| 976 | C4 | — | 6 | 2 | no | — |
| 977 | C4 | — | 12 | 4 | no | — |
| 978 | C4 | — | 24 | 2 | no | — |
| 979 | C4 | — | 24 | 2 | no | — |
| 980 | C4 | — | 24 | 2 | no | — |
| 981 | C4 | C4×#857⋊C2 | 1 | 1 | yes | characteristic |
| 982 | C4 | #11713252 | 1 | 1 | yes | characteristic |
| 983 | C3 | — | 16 | 1 | no | Sylow |
| 984 | C2 | — | 2 | 1 | no | — |
| 985 | C2 | — | 3 | 1 | no | — |
| 986 | C2 | — | 3 | 1 | no | — |
| 987 | C2 | — | 6 | 1 | no | — |
| 988 | C2 | — | 48 | 2 | no | — |
| 989 | C2 | #72218204 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #72215118 | C2 | semidirect |
| 3. #72214578 | C2 | semidirect |
| 5. C4×#1842⋊C3 | C2 | semidirect |
| 6. #72209724 | C2 | semidirect |
| 9. #11711280 | C4 | semidirect |
| 10. #11711279 | C4 | semidirect |
| 11. #11711278 | C4 | semidirect |
| 19. C4×#1842 | D3 | semidirect |
| 478. C42⋊C3 | #443 | semidirect |
| 865. C42 | #4700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72215706 | 3 |
| #72215118 | 2 |
| #72214578 | 2 |
| #72213885 | 2 |
| C4×#1842⋊C3 | 2 |
| #72209724 | 2 |
| #11712861 | 4 |