← C89×#63038 #36440886
Subgroups — C89×#63038 #36440886
Order 22784.
6418 conjugacy classes of subgroups.
The subgroup lattice has 402 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C89×#3555 | C2 | 1 | 18 | yes | maximal, complemented |
| 2 | C89×#3544 | C2 | 1 | 9 | yes | maximal, complemented |
| 3 | C89×#3523 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | C89×#3518 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C89×#3509 | C2 | 1 | 9 | yes | maximal, complemented |
| 6 | C89×#3502 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | C89×#3482 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | Q8×#41×C89 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×Q82×C89 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #563×C89 | C22 | 1 | 36 | yes | — |
| 11 | Q82×C89 | C22 | 1 | 1 | yes | characteristic |
| 12 | Q82×C89 | C22 | 1 | 6 | yes | — |
| 13 | Q82×C89 | C22 | 1 | 9 | yes | — |
| 14 | Q82×C89 | C22 | 1 | 9 | yes | — |
| 15 | #557×C89 | C22 | 1 | 6 | yes | — |
| 16 | #557×C89 | C22 | 1 | 6 | yes | — |
| 17 | #557×C89 | C22 | 1 | 36 | yes | — |
| 18 | #557×C89 | C22 | 1 | 18 | yes | — |
| 19 | #556×C89 | C22 | 1 | 18 | yes | — |
| 20 | #556×C89 | C22 | 1 | 36 | yes | — |
| 21 | #556×C89 | C22 | 1 | 18 | yes | — |
| 22 | #555×C89 | C22 | 1 | 9 | yes | — |
| 23 | #554×C89 | C22 | 1 | 18 | yes | — |
| 24 | #552×C89 | C22 | 1 | 18 | yes | — |
| 25 | #552×C89 | C22 | 1 | 18 | yes | — |
| 26 | #552×C89 | C22 | 1 | 36 | yes | — |
| 27 | D4×Q8×C89 | C22 | 1 | 6 | yes | — |
| 28 | D4×Q8×C89 | C22 | 1 | 6 | yes | — |
| 29 | #548×C89 | C22 | 1 | 2 | yes | — |
| 30 | #548×C89 | C22 | 1 | 6 | yes | — |
| 31 | #547×C89 | C22 | 1 | 18 | yes | — |
| 32 | #544×C89 | C22 | 1 | 36 | yes | — |
| 33 | #542×C89 | C22 | 1 | 36 | yes | — |
| 34 | #541×C89 | C22 | 1 | 36 | yes | — |
| 35 | #541×C89 | C22 | 1 | 36 | yes | — |
| 36 | #536×C89 | C22 | 1 | 18 | yes | — |
| 37 | #533×C89 | C22 | 1 | 18 | yes | — |
| 38 | #533×C89 | C22 | 1 | 18 | yes | — |
| 39 | #533×C89 | C22 | 1 | 18 | yes | — |
| 40 | #533×C89 | C22 | 1 | 9 | yes | — |
| 41 | C2×C4⋊Q8×C89 | C22 | 1 | 9 | yes | — |
| 42 | #529×C89 | C22 | 1 | 18 | yes | — |
| 43 | #529×C89 | C22 | 1 | 18 | yes | — |
| 44 | #519×C89 | C22 | 1 | 12 | yes | — |
| 45 | #519×C89 | C22 | 1 | 6 | yes | — |
| 46 | C4×#41×C89 | C22 | 1 | 6 | yes | — |
| 47 | C4×#41×C89 | C22 | 1 | 9 | yes | — |
| 48 | C2×C4×Q8×C89 | C22 | 1 | 6 | yes | — |
| 49 | C2×C4×Q8×C89 | C22 | 1 | 6 | yes | — |
| 50 | C2×#41×C89 | C23 | 1 | 2 | yes | — |
| 51 | C2×#41×C89 | C23 | 1 | 9 | yes | — |
| 52 | C22×Q8×C89 | C23 | 1 | 2 | yes | — |
| 53 | C22×Q8×C89 | C23 | 1 | 6 | yes | — |
| 54 | C22×Q8×C89 | C23 | 1 | 6 | yes | — |
| 55 | C4⋊Q8×C89 | C23 | 1 | 9 | yes | — |
| 56 | C4⋊Q8×C89 | C23 | 1 | 9 | yes | — |
| 57 | C4⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 58 | C4⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 59 | C4⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 60 | C4⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 61 | C4⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 62 | C4⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 63 | #126×C89 | C23 | 1 | 36 | yes | — |
| 64 | #126×C89 | C23 | 1 | 36 | yes | — |
| 65 | #126×C89 | C23 | 1 | 72 | yes | — |
| 66 | #125×C89 | C23 | 1 | 18 | yes | — |
| 67 | #125×C89 | C23 | 1 | 18 | yes | — |
| 68 | #125×C89 | C23 | 1 | 18 | yes | — |
| 69 | #125×C89 | C23 | 1 | 36 | yes | — |
| 70 | #125×C89 | C23 | 1 | 36 | yes | — |
| 71 | #125×C89 | C23 | 1 | 72 | yes | — |
| 72 | #124×C89 | C23 | 1 | 6 | yes | — |
| 73 | #124×C89 | C23 | 1 | 18 | yes | — |
| 74 | #124×C89 | C23 | 1 | 36 | yes | — |
| 75 | #123×C89 | C23 | 1 | 36 | yes | — |
| 76 | #123×C89 | C23 | 1 | 36 | yes | — |
| 77 | C22⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 78 | C22⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 79 | C22⋊Q8×C89 | C23 | 1 | 6 | yes | — |
| 80 | C22⋊Q8×C89 | C23 | 1 | 18 | yes | — |
| 81 | C22⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 82 | C22⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 83 | C22⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 84 | C22⋊Q8×C89 | C23 | 1 | 36 | yes | — |
| 85 | #121×C89 | C23 | 1 | 6 | yes | — |
| 86 | #121×C89 | C23 | 1 | 18 | yes | — |
| 87 | C4×Q8×C89 | C23 | 1 | 2 | yes | — |
| 88 | C4×Q8×C89 | C23 | 1 | 6 | yes | — |
| 89 | C4×Q8×C89 | C23 | 1 | 6 | yes | — |
| 90 | C4×Q8×C89 | C23 | 1 | 18 | yes | — |
| 91 | C4×Q8×C89 | C23 | 1 | 18 | yes | — |
| 92 | C4×Q8×C89 | C23 | 1 | 18 | yes | — |
| 93 | C4×Q8×C89 | C23 | 1 | 18 | yes | — |
| 94 | C4×Q8×C89 | C23 | 1 | 6 | yes | — |
| 95 | C4×Q8×C89 | C23 | 1 | 18 | yes | — |
| 96 | C4×Q8×C89 | C23 | 1 | 12 | yes | — |
| 97 | C4×Q8×C89 | C23 | 1 | 36 | yes | — |
| 98 | C4×Q8×C89 | C23 | 1 | 36 | yes | — |
| 99 | C4×Q8×C89 | C23 | 1 | 36 | yes | — |
| 100 | C4×D4×C89 | C23 | 1 | 6 | yes | — |
| 101 | C4×D4×C89 | C23 | 1 | 18 | yes | — |
| 102 | C4×D4×C89 | C23 | 1 | 18 | yes | — |
| 103 | C4×D4×C89 | C23 | 1 | 18 | yes | — |
| 104 | C4×D4×C89 | C23 | 1 | 18 | yes | — |
| 105 | #117×C89 | C23 | 1 | 9 | yes | — |
| 106 | #117×C89 | C23 | 1 | 18 | yes | — |
| 107 | #117×C89 | C23 | 1 | 18 | yes | — |
| 108 | #117×C89 | C23 | 1 | 36 | yes | — |
| 109 | #117×C89 | C23 | 1 | 18 | yes | — |
| 110 | #117×C89 | C23 | 1 | 36 | yes | — |
| 111 | C2×C4⋊C4×C89 | C23 | 1 | 18 | yes | — |
| 112 | C2×C4⋊C4×C89 | C23 | 1 | 18 | yes | — |
| 113 | C2×C42×C89 | C23 | 1 | 9 | yes | — |
| 114 | C2×C42×C89 | C23 | 1 | 18 | yes | — |
| 115 | #41×C89 | — | 2 | 8 | no | — |
| 116 | #41×C89 | — | 4 | 18 | no | — |
| 117 | C2×Q8×C89 | — | 2 | 8 | no | — |
| 118 | C2×Q8×C89 | — | 2 | 24 | no | — |
| 119 | C2×Q8×C89 | — | 4 | 12 | no | — |
| 120 | C2×Q8×C89 | C24 | 1 | 18 | yes | — |
| 121 | C2×Q8×C89 | C24 | 1 | 6 | yes | — |
| 122 | C2×Q8×C89 | C24 | 1 | 6 | yes | — |
| 123 | C2×Q8×C89 | C24 | 1 | 9 | yes | — |
| 124 | C2×Q8×C89 | C24 | 1 | 18 | yes | — |
| 125 | C2×Q8×C89 | C24 | 1 | 2 | yes | — |
| 126 | C2×D4×C89 | C24 | 1 | 6 | yes | — |
| 127 | C2×D4×C89 | C24 | 1 | 6 | yes | — |
| 128 | C2×D4×C89 | C24 | 1 | 9 | yes | — |
| 129 | C22×C4×C89 | C24 | 1 | 6 | yes | — |
| 130 | C22×C4×C89 | C24 | 1 | 6 | yes | — |
| 131 | C22×C4×C89 | C24 | 1 | 9 | yes | — |
| 132 | C22×C4×C89 | C24 | 1 | 18 | yes | — |
| 133 | C22×C4×C89 | C24 | 1 | 18 | yes | — |
| 134 | C4⋊C4×C89 | C24 | 1 | 6 | yes | — |
| 135 | C4⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 136 | C4⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 137 | C4⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 138 | C4⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 139 | C4⋊C4×C89 | C24 | 1 | 6 | yes | — |
| 140 | C4⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 141 | C4⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 142 | C4⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 143 | C4⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 144 | C4⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 145 | C4⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 146 | C22⋊C4×C89 | C24 | 1 | 1 | yes | characteristic |
| 147 | C22⋊C4×C89 | C24 | 1 | 9 | yes | — |
| 148 | C22⋊C4×C89 | C24 | 1 | 6 | yes | — |
| 149 | C22⋊C4×C89 | C24 | 1 | 12 | yes | — |
| 150 | C22⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 151 | C22⋊C4×C89 | C24 | 1 | 36 | yes | — |
| 152 | C22⋊C4×C89 | C24 | 1 | 18 | yes | — |
| 153 | C42×C89 | C24 | 1 | 9 | yes | — |
| 154 | C42×C89 | C24 | 1 | 6 | yes | — |
| 155 | C42×C89 | C24 | 1 | 18 | yes | — |
| 156 | C42×C89 | C24 | 1 | 18 | yes | — |
| 157 | C42×C89 | C24 | 1 | 18 | yes | — |
| 158 | C42×C89 | C24 | 1 | 9 | yes | — |
| 159 | C42×C89 | C24 | 1 | 36 | yes | — |
| 160 | C23×C89 | C25 | 1 | 6 | yes | — |
| 161 | C23×C89 | C25 | 1 | 1 | yes | characteristic |
| 162 | Q8×C89 | — | 2 | 12 | no | — |
| 163 | Q8×C89 | — | 2 | 36 | no | — |
| 164 | Q8×C89 | — | 4 | 6 | no | — |
| 165 | Q8×C89 | — | 4 | 18 | no | — |
| 166 | Q8×C89 | — | 4 | 9 | no | — |
| 167 | Q8×C89 | 2−1+4 | 1 | 8 | yes | — |
| 168 | D4×C89 | — | 2 | 12 | no | — |
| 169 | D4×C89 | — | 2 | 12 | no | — |
| 170 | D4×C89 | — | 4 | 9 | no | — |
| 171 | C2×C4×C89 | — | 2 | 18 | no | — |
| 172 | C2×C4×C89 | — | 2 | 12 | no | — |
| 173 | C2×C4×C89 | — | 2 | 36 | no | — |
| 174 | C2×C4×C89 | — | 2 | 12 | no | — |
| 175 | C2×C4×C89 | — | 4 | 18 | no | — |
| 176 | C2×C4×C89 | C25 | 1 | 2 | yes | — |
| 177 | C2×C4×C89 | C25 | 1 | 18 | yes | — |
| 178 | C2×C4×C89 | C25 | 1 | 6 | yes | — |
| 179 | C2×C4×C89 | C25 | 1 | 9 | yes | — |
| 180 | C2×C4×C89 | C25 | 1 | 9 | yes | — |
| 181 | C2×C4×C89 | C25 | 1 | 6 | yes | — |
| 182 | C2×C4×C89 | C25 | 1 | 6 | yes | — |
| 183 | C22×C89 | — | 2 | 2 | no | — |
| 184 | C22×C89 | — | 2 | 6 | no | — |
| 185 | C22×C89 | — | 2 | 6 | no | — |
| 186 | C22×C89 | — | 2 | 6 | no | — |
| 187 | C22×C89 | #585 | 1 | 2 | yes | — |
| 188 | C22×C89 | C26 | 1 | 1 | yes | characteristic |
| 189 | C4×C89 | — | 2 | 2 | no | — |
| 190 | C4×C89 | — | 2 | 6 | no | — |
| 191 | C4×C89 | — | 2 | 18 | no | — |
| 192 | C4×C89 | — | 2 | 9 | no | — |
| 193 | C4×C89 | — | 2 | 9 | no | — |
| 194 | C4×C89 | — | 2 | 6 | no | — |
| 195 | C4×C89 | C2×2−1+4 | 1 | 12 | yes | — |
| 196 | #63038 | C89 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 197 | C2×C89 | — | 2 | 2 | no | — |
| 198 | C2×C89 | — | 4 | 6 | no | — |
| 199 | C2×C89 | C22×2−1+4 | 1 | 2 | yes | — |
| 200 | C2×C89 | C2×#585 | 1 | 1 | yes | characteristic |
| 201 | #3555 | C2×C89 | 1 | 18 | yes | complemented |
| 202 | #3544 | C2×C89 | 1 | 9 | yes | complemented |
| 203 | #3523 | C2×C89 | 1 | 6 | yes | complemented |
| 204 | #3518 | C2×C89 | 1 | 6 | yes | complemented |
| 205 | #3509 | C2×C89 | 1 | 9 | yes | complemented |
| 206 | #3502 | C2×C89 | 1 | 6 | yes | complemented |
| 207 | #3482 | C2×C89 | 1 | 6 | yes | complemented |
| 208 | Q8×#41 | C2×C89 | 1 | 2 | yes | complemented |
| 209 | C2×Q82 | C2×C89 | 1 | 1 | yes | characteristic, complemented |
| 210 | C89 | #63038 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 211 | #563 | C22×C89 | 1 | 36 | yes | — |
| 212 | Q82 | C22×C89 | 1 | 1 | yes | characteristic |
| 213 | Q82 | C22×C89 | 1 | 6 | yes | — |
| 214 | Q82 | C22×C89 | 1 | 9 | yes | — |
| 215 | Q82 | C22×C89 | 1 | 9 | yes | — |
| 216 | #557 | C22×C89 | 1 | 6 | yes | — |
| 217 | #557 | C22×C89 | 1 | 6 | yes | — |
| 218 | #557 | C22×C89 | 1 | 36 | yes | — |
| 219 | #557 | C22×C89 | 1 | 18 | yes | — |
| 220 | #556 | C22×C89 | 1 | 18 | yes | — |
| 221 | #556 | C22×C89 | 1 | 36 | yes | — |
| 222 | #556 | C22×C89 | 1 | 18 | yes | — |
| 223 | #555 | C22×C89 | 1 | 9 | yes | — |
| 224 | #554 | C22×C89 | 1 | 18 | yes | — |
| 225 | #552 | C22×C89 | 1 | 18 | yes | — |
| 226 | #552 | C22×C89 | 1 | 18 | yes | — |
| 227 | #552 | C22×C89 | 1 | 36 | yes | — |
| 228 | D4×Q8 | C22×C89 | 1 | 6 | yes | — |
| 229 | D4×Q8 | C22×C89 | 1 | 6 | yes | — |
| 230 | #548 | C22×C89 | 1 | 2 | yes | — |
| 231 | #548 | C22×C89 | 1 | 6 | yes | — |
| 232 | #547 | C22×C89 | 1 | 18 | yes | — |
| 233 | #544 | C22×C89 | 1 | 36 | yes | — |
| 234 | #542 | C22×C89 | 1 | 36 | yes | — |
| 235 | #541 | C22×C89 | 1 | 36 | yes | — |
| 236 | #541 | C22×C89 | 1 | 36 | yes | — |
| 237 | #536 | C22×C89 | 1 | 18 | yes | — |
| 238 | #533 | C22×C89 | 1 | 18 | yes | — |
| 239 | #533 | C22×C89 | 1 | 18 | yes | — |
| 240 | #533 | C22×C89 | 1 | 18 | yes | — |
| 241 | #533 | C22×C89 | 1 | 9 | yes | — |
| 242 | C2×C4⋊Q8 | C22×C89 | 1 | 9 | yes | — |
| 243 | #529 | C22×C89 | 1 | 18 | yes | — |
| 244 | #529 | C22×C89 | 1 | 18 | yes | — |
| 245 | #519 | C22×C89 | 1 | 12 | yes | — |
| 246 | #519 | C22×C89 | 1 | 6 | yes | — |
| 247 | C4×#41 | C22×C89 | 1 | 6 | yes | — |
| 248 | C4×#41 | C22×C89 | 1 | 9 | yes | — |
| 249 | C2×C4×Q8 | C22×C89 | 1 | 6 | yes | — |
| 250 | C2×C4×Q8 | C22×C89 | 1 | 6 | yes | — |
| 251 | C2×#41 | C23×C89 | 1 | 2 | yes | — |
| 252 | C2×#41 | C23×C89 | 1 | 9 | yes | — |
| 253 | C22×Q8 | C23×C89 | 1 | 2 | yes | — |
| 254 | C22×Q8 | C23×C89 | 1 | 6 | yes | — |
| 255 | C22×Q8 | C23×C89 | 1 | 6 | yes | — |
| 256 | C4⋊Q8 | C23×C89 | 1 | 9 | yes | — |
| 257 | C4⋊Q8 | C23×C89 | 1 | 9 | yes | — |
| 258 | C4⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 259 | C4⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 260 | C4⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 261 | C4⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 262 | C4⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 263 | C4⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 264 | #126 | C23×C89 | 1 | 36 | yes | — |
| 265 | #126 | C23×C89 | 1 | 36 | yes | — |
| 266 | #126 | C23×C89 | 1 | 72 | yes | — |
| 267 | #125 | C23×C89 | 1 | 18 | yes | — |
| 268 | #125 | C23×C89 | 1 | 18 | yes | — |
| 269 | #125 | C23×C89 | 1 | 18 | yes | — |
| 270 | #125 | C23×C89 | 1 | 36 | yes | — |
| 271 | #125 | C23×C89 | 1 | 36 | yes | — |
| 272 | #125 | C23×C89 | 1 | 72 | yes | — |
| 273 | #124 | C23×C89 | 1 | 6 | yes | — |
| 274 | #124 | C23×C89 | 1 | 18 | yes | — |
| 275 | #124 | C23×C89 | 1 | 36 | yes | — |
| 276 | #123 | C23×C89 | 1 | 36 | yes | — |
| 277 | #123 | C23×C89 | 1 | 36 | yes | — |
| 278 | C22⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 279 | C22⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 280 | C22⋊Q8 | C23×C89 | 1 | 6 | yes | — |
| 281 | C22⋊Q8 | C23×C89 | 1 | 18 | yes | — |
| 282 | C22⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 283 | C22⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 284 | C22⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 285 | C22⋊Q8 | C23×C89 | 1 | 36 | yes | — |
| 286 | #121 | C23×C89 | 1 | 6 | yes | — |
| 287 | #121 | C23×C89 | 1 | 18 | yes | — |
| 288 | C4×Q8 | C23×C89 | 1 | 2 | yes | — |
| 289 | C4×Q8 | C23×C89 | 1 | 6 | yes | — |
| 290 | C4×Q8 | C23×C89 | 1 | 6 | yes | — |
| 291 | C4×Q8 | C23×C89 | 1 | 18 | yes | — |
| 292 | C4×Q8 | C23×C89 | 1 | 18 | yes | — |
| 293 | C4×Q8 | C23×C89 | 1 | 18 | yes | — |
| 294 | C4×Q8 | C23×C89 | 1 | 18 | yes | — |
| 295 | C4×Q8 | C23×C89 | 1 | 6 | yes | — |
| 296 | C4×Q8 | C23×C89 | 1 | 18 | yes | — |
| 297 | C4×Q8 | C23×C89 | 1 | 12 | yes | — |
| 298 | C4×Q8 | C23×C89 | 1 | 36 | yes | — |
| 299 | C4×Q8 | C23×C89 | 1 | 36 | yes | — |
| 300 | C4×Q8 | C23×C89 | 1 | 36 | yes | — |
| 301 | C4×D4 | C23×C89 | 1 | 6 | yes | — |
| 302 | C4×D4 | C23×C89 | 1 | 18 | yes | — |
| 303 | C4×D4 | C23×C89 | 1 | 18 | yes | — |
| 304 | C4×D4 | C23×C89 | 1 | 18 | yes | — |
| 305 | C4×D4 | C23×C89 | 1 | 18 | yes | — |
| 306 | #117 | C23×C89 | 1 | 9 | yes | — |
| 307 | #117 | C23×C89 | 1 | 18 | yes | — |
| 308 | #117 | C23×C89 | 1 | 18 | yes | — |
| 309 | #117 | C23×C89 | 1 | 36 | yes | — |
| 310 | #117 | C23×C89 | 1 | 18 | yes | — |
| 311 | #117 | C23×C89 | 1 | 36 | yes | — |
| 312 | C2×C4⋊C4 | C23×C89 | 1 | 18 | yes | — |
| 313 | C2×C4⋊C4 | C23×C89 | 1 | 18 | yes | — |
| 314 | C2×C42 | C23×C89 | 1 | 9 | yes | — |
| 315 | C2×C42 | C23×C89 | 1 | 18 | yes | — |
| 316 | #41 | — | 2 | 8 | no | — |
| 317 | #41 | — | 4 | 18 | no | — |
| 318 | C2×Q8 | — | 2 | 8 | no | — |
| 319 | C2×Q8 | — | 2 | 24 | no | — |
| 320 | C2×Q8 | — | 4 | 12 | no | — |
| 321 | C2×Q8 | C24×C89 | 1 | 18 | yes | — |
| 322 | C2×Q8 | C24×C89 | 1 | 6 | yes | — |
| 323 | C2×Q8 | C24×C89 | 1 | 6 | yes | — |
| 324 | C2×Q8 | C24×C89 | 1 | 9 | yes | — |
| 325 | C2×Q8 | C24×C89 | 1 | 18 | yes | — |
| 326 | C2×Q8 | C24×C89 | 1 | 2 | yes | — |
| 327 | C2×D4 | C24×C89 | 1 | 6 | yes | — |
| 328 | C2×D4 | C24×C89 | 1 | 6 | yes | — |
| 329 | C2×D4 | C24×C89 | 1 | 9 | yes | — |
| 330 | C22×C4 | C24×C89 | 1 | 6 | yes | — |
| 331 | C22×C4 | C24×C89 | 1 | 6 | yes | — |
| 332 | C22×C4 | C24×C89 | 1 | 9 | yes | — |
| 333 | C22×C4 | C24×C89 | 1 | 18 | yes | — |
| 334 | C22×C4 | C24×C89 | 1 | 18 | yes | — |
| 335 | C4⋊C4 | C24×C89 | 1 | 6 | yes | — |
| 336 | C4⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 337 | C4⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 338 | C4⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 339 | C4⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 340 | C4⋊C4 | C24×C89 | 1 | 6 | yes | — |
| 341 | C4⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 342 | C4⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 343 | C4⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 344 | C4⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 345 | C4⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 346 | C4⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 347 | C22⋊C4 | C24×C89 | 1 | 1 | yes | characteristic |
| 348 | C22⋊C4 | C24×C89 | 1 | 9 | yes | — |
| 349 | C22⋊C4 | C24×C89 | 1 | 6 | yes | — |
| 350 | C22⋊C4 | C24×C89 | 1 | 12 | yes | — |
| 351 | C22⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 352 | C22⋊C4 | C24×C89 | 1 | 36 | yes | — |
| 353 | C22⋊C4 | C24×C89 | 1 | 18 | yes | — |
| 354 | C42 | C24×C89 | 1 | 9 | yes | — |
| 355 | C42 | C24×C89 | 1 | 6 | yes | — |
| 356 | C42 | C24×C89 | 1 | 18 | yes | — |
| 357 | C42 | C24×C89 | 1 | 18 | yes | — |
| 358 | C42 | C24×C89 | 1 | 18 | yes | — |
| 359 | C42 | C24×C89 | 1 | 9 | yes | — |
| 360 | C42 | C24×C89 | 1 | 36 | yes | — |
| 361 | C23 | C25×C89 | 1 | 6 | yes | — |
| 362 | C23 | C25×C89 | 1 | 1 | yes | characteristic |
| 363 | Q8 | — | 2 | 12 | no | — |
| 364 | Q8 | — | 2 | 36 | no | — |
| 365 | Q8 | — | 4 | 6 | no | — |
| 366 | Q8 | — | 4 | 18 | no | — |
| 367 | Q8 | — | 4 | 9 | no | — |
| 368 | Q8 | 2−1+4×C89 | 1 | 8 | yes | — |
| 369 | D4 | — | 2 | 12 | no | — |
| 370 | D4 | — | 2 | 12 | no | — |
| 371 | D4 | — | 4 | 9 | no | — |
| 372 | C2×C4 | — | 2 | 18 | no | — |
| 373 | C2×C4 | — | 2 | 12 | no | — |
| 374 | C2×C4 | — | 2 | 36 | no | — |
| 375 | C2×C4 | — | 2 | 12 | no | — |
| 376 | C2×C4 | — | 4 | 18 | no | — |
| 377 | C2×C4 | C25×C89 | 1 | 2 | yes | — |
| 378 | C2×C4 | C25×C89 | 1 | 18 | yes | — |
| 379 | C2×C4 | C25×C89 | 1 | 6 | yes | — |
| 380 | C2×C4 | C25×C89 | 1 | 9 | yes | — |
| 381 | C2×C4 | C25×C89 | 1 | 9 | yes | — |
| 382 | C2×C4 | C25×C89 | 1 | 6 | yes | — |
| 383 | C2×C4 | C25×C89 | 1 | 6 | yes | — |
| 384 | C22 | — | 2 | 2 | no | — |
| 385 | C22 | — | 2 | 6 | no | — |
| 386 | C22 | — | 2 | 6 | no | — |
| 387 | C22 | — | 2 | 6 | no | — |
| 388 | C22 | #585×C89 | 1 | 2 | yes | — |
| 389 | C22 | C26×C89 | 1 | 1 | yes | characteristic |
| 390 | C4 | — | 2 | 2 | no | — |
| 391 | C4 | — | 2 | 6 | no | — |
| 392 | C4 | — | 2 | 18 | no | — |
| 393 | C4 | — | 2 | 9 | no | — |
| 394 | C4 | — | 2 | 9 | no | — |
| 395 | C4 | — | 2 | 6 | no | — |
| 396 | C4 | C2×2−1+4×C89 | 1 | 12 | yes | — |
| 397 | C2 | — | 2 | 2 | no | — |
| 398 | C2 | — | 4 | 6 | no | — |
| 399 | C2 | C22×2−1+4×C89 | 1 | 2 | yes | — |
| 400 | C2 | C2×#585×C89 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta