Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
1030 conjugacy classes of subgroups.
The subgroup lattice has 830 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21438642 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21435014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21432137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21423041 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21423029 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21423024 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21423012 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21422673 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21422644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21422466 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C59×#3217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #16838154 | — | 2 | 1 | no | — |
| 13 | #16838143 | — | 2 | 1 | no | — |
| 14 | #16838101 | — | 2 | 1 | no | — |
| 15 | #16838096 | — | 2 | 1 | no | — |
| 16 | #16838076 | — | 2 | 1 | no | — |
| 17 | #16838050 | — | 2 | 1 | no | — |
| 18 | #16838047 | — | 2 | 1 | no | — |
| 19 | #16838044 | — | 2 | 1 | no | — |
| 20 | #16838024 | — | 2 | 1 | no | — |
| 21 | #16838001 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16838000 | — | 2 | 1 | no | — |
| 23 | #16837992 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16837986 | — | 2 | 1 | no | — |
| 25 | #16837985 | — | 2 | 1 | no | — |
| 26 | #16837979 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16837960 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16837952 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#14273721 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16837778 | — | 2 | 1 | no | — |
| 31 | #16837748 | — | 2 | 1 | no | — |
| 32 | #16837594 | — | 2 | 1 | no | — |
| 33 | #16837594 | — | 2 | 1 | no | — |
| 34 | #16837536 | C22 | 1 | 2 | yes | — |
| 35 | #16837536 | C22 | 1 | 2 | yes | complemented |
| 36 | #16837455 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16837316 | — | 2 | 1 | no | — |
| 38 | #16837316 | — | 2 | 1 | no | — |
| 39 | #16837316 | C22 | 1 | 2 | yes | complemented |
| 40 | #16837310 | — | 2 | 1 | no | — |
| 41 | #16837310 | — | 2 | 1 | no | — |
| 42 | #16837310 | C22 | 1 | 2 | yes | — |
| 43 | #16837270 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #16837139 | C22 | 1 | 2 | yes | complemented |
| 45 | #16837137 | C22 | 1 | 2 | yes | — |
| 46 | #16837137 | C22 | 1 | 2 | yes | complemented |
| 47 | #16837136 | C22 | 1 | 2 | yes | — |
| 48 | #16837127 | C22 | 1 | 2 | yes | complemented |
| 49 | #16837125 | C22 | 1 | 2 | yes | — |
| 50 | C2×#127×C59 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C59×#529 | C22 | 1 | 1 | yes | characteristic |
| 52 | C59×#496 | — | 2 | 1 | no | — |
| 53 | C59×#490 | — | 2 | 1 | no | — |
| 54 | C59×#460 | — | 2 | 1 | no | — |
| 55 | C59×#459 | — | 2 | 1 | no | — |
| 56 | C59×#450 | C22 | 1 | 2 | yes | complemented |
| 57 | C59×#447 | C22 | 1 | 2 | yes | — |
| 58 | C59×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#11745685 | — | 2 | 1 | no | — |
| 60 | C2×#11745687 | — | 2 | 1 | no | — |
| 61 | C22×C22⋊D59 | — | 2 | 2 | no | — |
| 62 | C2×D4×D59 | — | 2 | 1 | no | — |
| 63 | C2×#11745669 | — | 2 | 2 | no | — |
| 64 | C2×#11745669 | — | 2 | 2 | no | — |
| 65 | #14273727 | D4 | 1 | 1 | yes | characteristic, complemented |
| 66 | #14273726 | — | 2 | 1 | no | — |
| 67 | #14273724 | D4 | 1 | 1 | yes | characteristic, complemented |
| 68 | #14273722 | — | 2 | 1 | no | — |
| 69 | #14273722 | — | 2 | 1 | no | — |
| 70 | #14273721 | — | 2 | 1 | no | — |
| 71 | #14273721 | — | 2 | 1 | no | — |
| 72 | #14273721 | — | 2 | 1 | no | — |
| 73 | #14273721 | — | 2 | 1 | no | — |
| 74 | #14273721 | — | 2 | 1 | no | — |
| 75 | #14273720 | — | 2 | 1 | no | — |
| 76 | #14273718 | — | 2 | 1 | no | — |
| 77 | #14273717 | — | 2 | 1 | no | — |
| 78 | #14273716 | — | 2 | 1 | no | — |
| 79 | #14273715 | — | 2 | 1 | no | — |
| 80 | #14273715 | — | 2 | 1 | no | — |
| 81 | #14273713 | — | 2 | 1 | no | — |
| 82 | #14273712 | — | 2 | 1 | no | — |
| 83 | #14273712 | — | 2 | 1 | no | — |
| 84 | #14273712 | — | 2 | 1 | no | — |
| 85 | #14273712 | — | 2 | 1 | no | — |
| 86 | #14273712 | — | 2 | 1 | no | — |
| 87 | #14273712 | — | 2 | 1 | no | — |
| 88 | #14273711 | — | 2 | 1 | no | — |
| 89 | #14273711 | — | 2 | 1 | no | — |
| 90 | #14273710 | — | 2 | 1 | no | — |
| 91 | #14273709 | — | 2 | 1 | no | — |
| 92 | #14273709 | — | 2 | 1 | no | — |
| 93 | #14273707 | — | 2 | 1 | no | — |
| 94 | #14273705 | — | 2 | 1 | no | — |
| 95 | #14273705 | — | 2 | 1 | no | — |
| 96 | #14273705 | — | 2 | 1 | no | — |
| 97 | #14273704 | — | 2 | 1 | no | — |
| 98 | #14273704 | — | 2 | 1 | no | — |
| 99 | #14273703 | — | 2 | 1 | no | — |
| 100 | #14273702 | — | 2 | 1 | no | — |
| 101 | #14273702 | — | 2 | 1 | no | — |
| 102 | #14273702 | — | 2 | 1 | no | — |
| 103 | #14273701 | — | 2 | 1 | no | — |
| 104 | #14273701 | — | 2 | 1 | no | — |
| 105 | #14273701 | C23 | 1 | 1 | yes | characteristic |
| 106 | #14273701 | C23 | 1 | 1 | yes | characteristic |
| 107 | #14273700 | — | 2 | 1 | no | — |
| 108 | #14273700 | — | 2 | 1 | no | — |
| 109 | #14273700 | — | 2 | 1 | no | — |
| 110 | #14273700 | — | 2 | 1 | no | — |
| 111 | #14273699 | — | 2 | 1 | no | — |
| 112 | #14273699 | — | 2 | 1 | no | — |
| 113 | #14273699 | — | 2 | 1 | no | — |
| 114 | #14273697 | — | 2 | 1 | no | — |
| 115 | #14273697 | — | 2 | 1 | no | — |
| 116 | #14273697 | — | 2 | 1 | no | — |
| 117 | #14273697 | — | 2 | 1 | no | — |
| 118 | #14273695 | — | 2 | 1 | no | — |
| 119 | C4×D236 | — | 2 | 1 | no | — |
| 120 | C4×D236 | — | 2 | 1 | no | — |
| 121 | C4×D236 | D4 | 1 | 1 | yes | characteristic, complemented |
| 122 | C4×D236 | D4 | 1 | 1 | yes | characteristic, complemented |
| 123 | #14273689 | — | 2 | 1 | no | — |
| 124 | C4×C22⋊D59 | — | 2 | 1 | no | — |
| 125 | (C22⋊D59)⋊C4 | — | 2 | 1 | no | — |
| 126 | (C22⋊D59)⋊C4 | — | 2 | 1 | no | — |
| 127 | (C22⋊D59)⋊C4 | — | 2 | 1 | no | — |
| 128 | #14273684 | — | 2 | 1 | no | — |
| 129 | C2×Dic59⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 130 | C2×Dic59⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 131 | C2×Dic59⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 132 | C4⋊C4×D59 | — | 2 | 1 | no | — |
| 133 | C2×C22⋊Dic59 | — | 2 | 2 | no | — |
| 134 | C2×C22⋊Dic59 | — | 2 | 2 | no | — |
| 135 | C2×C22⋊Dic59 | — | 2 | 2 | no | — |
| 136 | C2×(C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 137 | C2×(C2×D59)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 138 | C2×(C2×D59)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 139 | C2×(C2×D59)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 140 | C22⋊C4×D59 | — | 2 | 1 | no | — |
| 141 | C4⋊(C59⋊C8) | — | 2 | 1 | no | — |
| 142 | #14273648 | — | 2 | 2 | no | — |
| 143 | #14273648 | — | 2 | 2 | no | — |
| 144 | C22⋊(C59⋊C8) | C23 | 1 | 2 | yes | — |
| 145 | C4×C59⋊C8 | — | 2 | 1 | no | — |
| 146 | C59⋊#95 | — | 2 | 1 | no | — |
| 147 | C59⋊#95 | — | 2 | 1 | no | — |
| 148 | C59⋊#95 | C23 | 1 | 2 | yes | — |
| 149 | C22×D4×C59 | — | 2 | 1 | no | — |
| 150 | C22×D4×C59 | — | 2 | 1 | no | — |
| 151 | C22×D4×C59 | C23 | 1 | 2 | yes | — |
| 152 | C2×SD16×C59 | — | 2 | 2 | no | — |
| 153 | C2×D8×C59 | — | 2 | 2 | no | — |
| 154 | #127×C59 | — | 2 | 1 | no | — |
| 155 | #127×C59 | — | 2 | 1 | no | — |
| 156 | #127×C59 | — | 2 | 1 | no | — |
| 157 | #127×C59 | — | 2 | 1 | no | — |
| 158 | #126×C59 | — | 2 | 1 | no | — |
| 159 | #125×C59 | D4 | 1 | 1 | yes | characteristic, complemented |
| 160 | #124×C59 | D4 | 1 | 1 | yes | characteristic, complemented |
| 161 | #123×C59 | — | 2 | 1 | no | — |
| 162 | C22⋊Q8×C59 | C23 | 1 | 1 | yes | characteristic |
| 163 | #121×C59 | C23 | 1 | 1 | yes | characteristic |
| 164 | C4×Q8×C59 | D4 | 1 | 1 | yes | characteristic, complemented |
| 165 | C4×D4×C59 | — | 2 | 1 | no | — |
| 166 | C4×D4×C59 | D4 | 1 | 1 | yes | characteristic, complemented |
| 167 | #117×C59 | — | 2 | 1 | no | — |
| 168 | C2×C42×C59 | C23 | 1 | 1 | yes | characteristic |
| 169 | C4⋊C8×C59 | — | 2 | 1 | no | — |
| 170 | #102×C59 | — | 2 | 2 | no | — |
| 171 | #102×C59 | — | 2 | 2 | no | — |
| 172 | C22⋊C8×C59 | C23 | 1 | 2 | yes | — |
| 173 | #97×C59 | — | 2 | 1 | no | — |
| 174 | C24×C59 | — | 2 | 2 | no | — |
| 175 | C23×D59 | — | 2 | 1 | no | — |
| 176 | C23×D59 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C2×Q8×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C2×D4×C59 | — | 2 | 1 | no | — |
| 179 | C2×D4×C59 | — | 2 | 2 | no | — |
| 180 | C2×D4×C59 | — | 2 | 2 | no | — |
| 181 | C2×D4×C59 | — | 4 | 1 | no | — |
| 182 | C2×D4×C59 | — | 4 | 1 | no | — |
| 183 | C2×D4×C59 | — | 4 | 1 | no | — |
| 184 | C2×D4×C59 | — | 4 | 1 | no | — |
| 185 | C2×D4×C59 | — | 8 | 2 | no | — |
| 186 | C2×D4×C59 | — | 8 | 2 | no | — |
| 187 | C2×D4×C59 | — | 8 | 2 | no | — |
| 188 | C2×D4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22×C4×C59 | — | 2 | 1 | no | — |
| 190 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C22×C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C22×C4×C59 | C24 | 1 | 1 | yes | characteristic |
| 193 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 194 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 195 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 196 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 197 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 198 | C2×C22⋊D59 | — | 2 | 1 | no | — |
| 199 | C2×C22⋊D59 | — | 8 | 2 | no | — |
| 200 | C2×C22⋊D59 | — | 8 | 2 | no | — |
| 201 | C2×C22⋊D59 | — | 8 | 2 | no | — |
| 202 | C22×Dic59 | — | 2 | 1 | no | — |
| 203 | C22×Dic59 | — | 2 | 2 | no | — |
| 204 | C22×Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C22×Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C22×Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | #11745687 | — | 8 | 2 | no | — |
| 208 | D4×D59 | — | 8 | 2 | no | — |
| 209 | #11745685 | — | 8 | 2 | no | — |
| 210 | C2×D236 | — | 2 | 1 | no | — |
| 211 | C2×D236 | — | 2 | 1 | no | — |
| 212 | C2×D236 | — | 2 | 1 | no | — |
| 213 | C2×D236 | — | 2 | 1 | no | — |
| 214 | C2×D236 | — | 2 | 1 | no | — |
| 215 | C2×D236 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×D236 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C4×D59 | — | 2 | 1 | no | — |
| 218 | C2×C4×D59 | — | 2 | 1 | no | — |
| 219 | C2×C4×D59 | — | 2 | 1 | no | — |
| 220 | C2×C4×D59 | — | 2 | 1 | no | — |
| 221 | C2×C4×D59 | — | 2 | 1 | no | — |
| 222 | C2×C4×D59 | — | 2 | 1 | no | — |
| 223 | C2×Dic118 | — | 2 | 1 | no | — |
| 224 | C2×Dic118 | — | 2 | 1 | no | — |
| 225 | SD16×C59 | — | 8 | 2 | no | — |
| 226 | D8×C59 | — | 8 | 2 | no | — |
| 227 | C2×C8×C59 | — | 2 | 2 | no | — |
| 228 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 229 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 230 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 231 | C4⋊C4×C59 | — | 2 | 1 | no | — |
| 232 | C4⋊C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C4⋊C4×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 235 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 236 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 237 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 238 | C22⋊C4×C59 | — | 2 | 1 | no | — |
| 239 | C42×C59 | — | 2 | 1 | no | — |
| 240 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C42×C59 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22⋊Dic59 | — | 2 | 1 | no | — |
| 245 | C22⋊Dic59 | — | 2 | 1 | no | — |
| 246 | C22⋊Dic59 | — | 8 | 2 | no | — |
| 247 | C22⋊Dic59 | — | 8 | 2 | no | — |
| 248 | C22⋊Dic59 | — | 8 | 2 | no | — |
| 249 | #11745669 | — | 8 | 2 | no | — |
| 250 | #11745669 | — | 8 | 2 | no | — |
| 251 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 252 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 253 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 254 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 255 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 256 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 257 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 258 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 259 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 260 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 261 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 262 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 263 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 264 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 265 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 266 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 267 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 268 | (C2×D59)⋊C4 | — | 2 | 1 | no | — |
| 269 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 270 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 271 | C4⋊Dic59 | — | 2 | 1 | no | — |
| 272 | C4⋊Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C4⋊Dic59 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 275 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 276 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 277 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 278 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 279 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 280 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 281 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 282 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 283 | Dic59⋊C4 | — | 2 | 1 | no | — |
| 284 | C4×Dic59 | — | 2 | 1 | no | — |
| 285 | C4×Dic59 | — | 2 | 1 | no | — |
| 286 | C2×C59⋊C8 | — | 2 | 2 | no | — |
| 287 | C23×C59 | — | 2 | 1 | no | — |
| 288 | C23×C59 | — | 4 | 2 | no | — |
| 289 | C23×C59 | — | 4 | 2 | no | — |
| 290 | C23×C59 | — | 4 | 2 | no | — |
| 291 | C23×C59 | — | 4 | 2 | no | — |
| 292 | C23×C59 | — | 4 | 2 | no | — |
| 293 | C23×C59 | — | 4 | 2 | no | — |
| 294 | C23×C59 | — | 4 | 2 | no | — |
| 295 | C23×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C22×D59 | — | 2 | 1 | no | — |
| 297 | C22×D59 | — | 2 | 1 | no | — |
| 298 | C22×D59 | — | 2 | 1 | no | — |
| 299 | C22×D59 | — | 2 | 2 | no | — |
| 300 | C22×D59 | — | 4 | 1 | no | — |
| 301 | C22×D59 | — | 4 | 1 | no | — |
| 302 | C22×D59 | — | 8 | 1 | no | — |
| 303 | C22×D59 | — | 8 | 1 | no | — |
| 304 | C22×D59 | — | 8 | 1 | no | — |
| 305 | Q8×C59 | — | 4 | 1 | no | — |
| 306 | D4×C59 | — | 4 | 1 | no | — |
| 307 | D4×C59 | — | 4 | 2 | no | — |
| 308 | D4×C59 | — | 4 | 2 | no | — |
| 309 | D4×C59 | — | 4 | 2 | no | — |
| 310 | D4×C59 | — | 4 | 2 | no | — |
| 311 | D4×C59 | — | 4 | 2 | no | — |
| 312 | D4×C59 | — | 8 | 2 | no | — |
| 313 | D4×C59 | — | 8 | 2 | no | — |
| 314 | D4×C59 | — | 8 | 2 | no | — |
| 315 | D4×C59 | — | 8 | 2 | no | — |
| 316 | C2×C4×C59 | — | 2 | 2 | no | — |
| 317 | C2×C4×C59 | — | 2 | 1 | no | — |
| 318 | C2×C4×C59 | — | 2 | 1 | no | — |
| 319 | C2×C4×C59 | — | 2 | 1 | no | — |
| 320 | C2×C4×C59 | — | 4 | 1 | no | — |
| 321 | C2×C4×C59 | — | 4 | 1 | no | — |
| 322 | C2×C4×C59 | — | 8 | 1 | no | — |
| 323 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 324 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 325 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 326 | C2×C4×C59 | #120 | 1 | 1 | yes | characteristic |
| 327 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 328 | C2×C4×C59 | C22×D4 | 1 | 1 | yes | characteristic |
| 329 | C22⋊D59 | — | 4 | 2 | no | — |
| 330 | C22⋊D59 | — | 4 | 2 | no | — |
| 331 | C22⋊D59 | — | 8 | 1 | no | — |
| 332 | C22⋊D59 | — | 8 | 1 | no | — |
| 333 | C22⋊D59 | — | 8 | 1 | no | — |
| 334 | C22⋊D59 | — | 8 | 1 | no | — |
| 335 | C22⋊D59 | — | 8 | 8 | no | — |
| 336 | C2×Dic59 | — | 2 | 1 | no | — |
| 337 | C2×Dic59 | — | 2 | 1 | no | — |
| 338 | C2×Dic59 | — | 2 | 1 | no | — |
| 339 | C2×Dic59 | — | 2 | 1 | no | — |
| 340 | C2×Dic59 | — | 2 | 1 | no | — |
| 341 | C2×Dic59 | — | 2 | 2 | no | — |
| 342 | C2×Dic59 | — | 4 | 1 | no | — |
| 343 | C2×Dic59 | — | 4 | 1 | no | — |
| 344 | C2×Dic59 | — | 4 | 2 | no | — |
| 345 | C2×Dic59 | — | 4 | 2 | no | — |
| 346 | C2×Dic59 | — | 4 | 2 | no | — |
| 347 | C2×Dic59 | — | 8 | 1 | no | — |
| 348 | D236 | — | 4 | 1 | no | — |
| 349 | D236 | — | 4 | 1 | no | — |
| 350 | D236 | — | 8 | 1 | no | — |
| 351 | D236 | — | 8 | 1 | no | — |
| 352 | D236 | — | 8 | 1 | no | — |
| 353 | D236 | — | 8 | 1 | no | — |
| 354 | D236 | — | 8 | 1 | no | — |
| 355 | C4×D59 | — | 8 | 1 | no | — |
| 356 | C4×D59 | — | 8 | 1 | no | — |
| 357 | C4×D59 | — | 8 | 1 | no | — |
| 358 | C4×D59 | — | 8 | 1 | no | — |
| 359 | C4×D59 | — | 8 | 1 | no | — |
| 360 | C4×D59 | — | 8 | 1 | no | — |
| 361 | Dic118 | — | 8 | 1 | no | — |
| 362 | Dic118 | — | 8 | 1 | no | — |
| 363 | C8×C59 | — | 4 | 2 | no | — |
| 364 | C59⋊C8 | — | 4 | 2 | no | — |
| 365 | #18462 | — | 59 | 1 | no | maximal, Sylow |
| 366 | C22×C59 | — | 2 | 1 | no | — |
| 367 | C22×C59 | — | 2 | 1 | no | — |
| 368 | C22×C59 | — | 4 | 1 | no | — |
| 369 | C22×C59 | — | 4 | 1 | no | — |
| 370 | C22×C59 | — | 4 | 1 | no | — |
| 371 | C22×C59 | — | 8 | 2 | no | — |
| 372 | C22×C59 | — | 8 | 2 | no | — |
| 373 | C22×C59 | — | 8 | 2 | no | — |
| 374 | C22×C59 | — | 8 | 2 | no | — |
| 375 | C22×C59 | — | 8 | 2 | no | — |
| 376 | C22×C59 | — | 8 | 2 | no | — |
| 377 | C22×C59 | — | 8 | 2 | no | — |
| 378 | C22×C59 | C2×#120 | 1 | 1 | yes | characteristic |
| 379 | C22×C59 | #576 | 1 | 2 | yes | — |
| 380 | C2×D59 | — | 4 | 1 | no | — |
| 381 | C2×D59 | — | 4 | 1 | no | — |
| 382 | C2×D59 | — | 4 | 1 | no | — |
| 383 | C2×D59 | — | 4 | 1 | no | — |
| 384 | C2×D59 | — | 4 | 1 | no | — |
| 385 | C2×D59 | — | 4 | 1 | no | — |
| 386 | C2×D59 | — | 4 | 1 | no | — |
| 387 | C2×D59 | — | 4 | 1 | no | — |
| 388 | C2×D59 | — | 4 | 1 | no | — |
| 389 | C2×D59 | — | 8 | 2 | no | — |
| 390 | C2×D59 | — | 16 | 2 | no | — |
| 391 | C4×C59 | — | 2 | 1 | no | — |
| 392 | C4×C59 | — | 2 | 1 | no | — |
| 393 | C4×C59 | — | 2 | 1 | no | — |
| 394 | C4×C59 | — | 2 | 1 | no | — |
| 395 | C4×C59 | — | 2 | 1 | no | — |
| 396 | C4×C59 | — | 2 | 1 | no | — |
| 397 | C4×C59 | — | 4 | 1 | no | — |
| 398 | C4×C59 | — | 4 | 1 | no | — |
| 399 | C4×C59 | — | 4 | 1 | no | — |
| 400 | Dic59 | — | 4 | 1 | no | — |
| 401 | Dic59 | — | 4 | 1 | no | — |
| 402 | Dic59 | — | 4 | 1 | no | — |
| 403 | Dic59 | — | 4 | 1 | no | — |
| 404 | Dic59 | — | 4 | 1 | no | — |
| 405 | Dic59 | — | 8 | 2 | no | — |
| 406 | #3560 | — | 59 | 1 | no | — |
| 407 | #3217 | D59 | 1 | 1 | yes | characteristic, complemented |
| 408 | #3205 | — | 59 | 1 | no | — |
| 409 | #2818 | — | 59 | 1 | no | — |
| 410 | #1600 | — | 59 | 2 | no | — |
| 411 | #1598 | — | 59 | 2 | no | — |
| 412 | #1597 | — | 59 | 2 | no | — |
| 413 | #1595 | — | 59 | 2 | no | — |
| 414 | #1521 | — | 59 | 1 | no | — |
| 415 | #1514 | — | 59 | 1 | no | — |
| 416 | #1473 | — | 59 | 1 | no | — |
| 417 | C2×C59 | — | 2 | 2 | no | — |
| 418 | C2×C59 | — | 8 | 1 | no | — |
| 419 | C2×C59 | — | 16 | 2 | no | — |
| 420 | C2×C59 | #3008 | 1 | 1 | yes | characteristic |
| 421 | C2×C59 | #3021 | 1 | 1 | yes | characteristic |
| 422 | C2×C59 | #3027 | 1 | 1 | yes | characteristic |
| 423 | D59 | — | 8 | 1 | no | — |
| 424 | D59 | — | 8 | 1 | no | — |
| 425 | D59 | — | 8 | 1 | no | — |
| 426 | #563 | — | 118 | 1 | no | — |
| 427 | #560 | — | 118 | 1 | no | — |
| 428 | #553 | — | 118 | 1 | no | — |
| 429 | #553 | — | 118 | 1 | no | — |
| 430 | #551 | — | 118 | 1 | no | — |
| 431 | #547 | — | 118 | 1 | no | — |
| 432 | #546 | — | 118 | 1 | no | — |
| 433 | #546 | — | 118 | 1 | no | — |
| 434 | #542 | — | 118 | 1 | no | — |
| 435 | #539 | — | 59 | 1 | no | — |
| 436 | #539 | — | 118 | 1 | no | — |
| 437 | #538 | — | 59 | 1 | no | — |
| 438 | #538 | — | 118 | 1 | no | — |
| 439 | #538 | — | 118 | 1 | no | — |
| 440 | #537 | — | 59 | 1 | no | — |
| 441 | #534 | — | 59 | 1 | no | — |
| 442 | #532 | — | 59 | 1 | no | — |
| 443 | C2×#127 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 444 | #529 | C2×D59 | 1 | 1 | yes | characteristic |
| 445 | C2×#126 | — | 59 | 1 | no | — |
| 446 | #496 | — | 2 | 1 | no | — |
| 447 | #493 | — | 118 | 1 | no | — |
| 448 | #490 | — | 2 | 1 | no | — |
| 449 | #486 | — | 118 | 1 | no | — |
| 450 | #460 | — | 2 | 1 | no | — |
| 451 | #459 | — | 2 | 1 | no | — |
| 452 | #459 | — | 118 | 1 | no | — |
| 453 | #459 | — | 118 | 1 | no | — |
| 454 | #450 | C2×D59 | 1 | 2 | yes | complemented |
| 455 | #447 | — | 59 | 2 | no | — |
| 456 | #447 | — | 59 | 2 | no | — |
| 457 | #447 | C2×D59 | 1 | 2 | yes | — |
| 458 | #432 | C2×D59 | 1 | 1 | yes | characteristic, complemented |
| 459 | #431 | — | 59 | 1 | no | — |
| 460 | #394 | — | 59 | 2 | no | — |
| 461 | #394 | — | 118 | 1 | no | — |
| 462 | #394 | — | 118 | 1 | no | — |
| 463 | #392 | — | 59 | 2 | no | — |
| 464 | #392 | — | 118 | 1 | no | — |
| 465 | #392 | — | 118 | 1 | no | — |
| 466 | #383 | — | 59 | 1 | no | — |
| 467 | #328 | — | 59 | 2 | no | — |
| 468 | #327 | — | 59 | 2 | no | — |
| 469 | #327 | — | 59 | 2 | no | — |
| 470 | #327 | — | 59 | 2 | no | — |
| 471 | #324 | — | 59 | 2 | no | — |
| 472 | #323 | — | 59 | 2 | no | — |
| 473 | C59 | #18462 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 474 | C2×#41 | — | 118 | 1 | no | — |
| 475 | C2×#41 | — | 118 | 1 | no | — |
| 476 | C22×D4 | — | 2 | 1 | no | — |
| 477 | C22×D4 | — | 2 | 1 | no | — |
| 478 | C22×D4 | — | 118 | 1 | no | — |
| 479 | C22×D4 | — | 118 | 2 | no | — |
| 480 | C22×D4 | C22×D59 | 1 | 2 | yes | — |
| 481 | C2×SD16 | — | 2 | 2 | no | — |
| 482 | C2×D8 | — | 2 | 2 | no | — |
| 483 | C2×D8 | — | 118 | 2 | no | — |
| 484 | C2×D8 | — | 118 | 2 | no | — |
| 485 | C4⋊Q8 | — | 59 | 1 | no | — |
| 486 | C4⋊Q8 | — | 118 | 1 | no | — |
| 487 | #127 | — | 2 | 1 | no | — |
| 488 | #127 | — | 2 | 1 | no | — |
| 489 | #127 | — | 2 | 1 | no | — |
| 490 | #127 | — | 2 | 1 | no | — |
| 491 | #127 | — | 59 | 1 | no | — |
| 492 | #126 | — | 2 | 1 | no | — |
| 493 | #126 | — | 118 | 1 | no | — |
| 494 | #126 | — | 118 | 1 | no | — |
| 495 | #126 | — | 118 | 1 | no | — |
| 496 | #126 | — | 118 | 1 | no | — |
| 497 | #126 | — | 118 | 1 | no | — |
| 498 | #126 | — | 118 | 1 | no | — |
| 499 | #126 | — | 118 | 1 | no | — |
| 500 | #126 | — | 118 | 1 | no | — |
| 501 | #125 | — | 118 | 1 | no | — |
| 502 | #125 | — | 118 | 1 | no | — |
| 503 | #125 | C22⋊D59 | 1 | 1 | yes | characteristic, complemented |
| 504 | #124 | — | 118 | 1 | no | — |
| 505 | #124 | — | 118 | 1 | no | — |
| 506 | #124 | — | 118 | 1 | no | — |
| 507 | #124 | — | 118 | 1 | no | — |
| 508 | #124 | C22⋊D59 | 1 | 1 | yes | characteristic, complemented |
| 509 | #123 | — | 2 | 1 | no | — |
| 510 | #123 | — | 118 | 1 | no | — |
| 511 | #123 | — | 118 | 1 | no | — |
| 512 | #123 | — | 118 | 1 | no | — |
| 513 | #123 | — | 118 | 1 | no | — |
| 514 | #123 | — | 118 | 1 | no | — |
| 515 | #123 | — | 118 | 1 | no | — |
| 516 | #123 | — | 118 | 1 | no | — |
| 517 | #123 | — | 118 | 1 | no | — |
| 518 | #123 | — | 118 | 1 | no | — |
| 519 | #123 | — | 118 | 1 | no | — |
| 520 | #123 | — | 118 | 1 | no | — |
| 521 | C22⋊Q8 | — | 118 | 1 | no | — |
| 522 | C22⋊Q8 | — | 118 | 1 | no | — |
| 523 | C22⋊Q8 | — | 118 | 1 | no | — |
| 524 | C22⋊Q8 | — | 118 | 1 | no | — |
| 525 | C22⋊Q8 | — | 118 | 1 | no | — |
| 526 | C22⋊Q8 | — | 118 | 1 | no | — |
| 527 | C22⋊Q8 | — | 118 | 1 | no | — |
| 528 | C22⋊Q8 | C22×D59 | 1 | 1 | yes | characteristic |
| 529 | #121 | — | 59 | 1 | no | — |
| 530 | #121 | — | 59 | 1 | no | — |
| 531 | #121 | — | 118 | 1 | no | — |
| 532 | #121 | — | 118 | 1 | no | — |
| 533 | #121 | — | 118 | 1 | no | — |
| 534 | #121 | — | 118 | 1 | no | — |
| 535 | #121 | — | 118 | 1 | no | — |
| 536 | #121 | — | 118 | 1 | no | — |
| 537 | #121 | — | 118 | 1 | no | — |
| 538 | #121 | — | 118 | 1 | no | — |
| 539 | #121 | — | 118 | 1 | no | — |
| 540 | #121 | — | 118 | 1 | no | — |
| 541 | #121 | — | 118 | 1 | no | — |
| 542 | #121 | — | 118 | 1 | no | — |
| 543 | #121 | C22×D59 | 1 | 1 | yes | characteristic |
| 544 | #120 | — | 118 | 1 | no | — |
| 545 | #120 | — | 118 | 1 | no | — |
| 546 | #120 | — | 118 | 1 | no | — |
| 547 | #120 | — | 118 | 1 | no | — |
| 548 | #120 | — | 118 | 1 | no | — |
| 549 | C4×Q8 | C22⋊D59 | 1 | 1 | yes | characteristic, complemented |
| 550 | C4×D4 | — | 2 | 1 | no | — |
| 551 | C4×D4 | — | 59 | 1 | no | — |
| 552 | C4×D4 | — | 59 | 1 | no | — |
| 553 | C4×D4 | — | 118 | 1 | no | — |
| 554 | C4×D4 | — | 118 | 1 | no | — |
| 555 | C4×D4 | — | 118 | 1 | no | — |
| 556 | C4×D4 | — | 118 | 1 | no | — |
| 557 | C4×D4 | — | 118 | 1 | no | — |
| 558 | C4×D4 | — | 118 | 1 | no | — |
| 559 | C4×D4 | — | 118 | 1 | no | — |
| 560 | C4×D4 | C22⋊D59 | 1 | 1 | yes | characteristic, complemented |
| 561 | #117 | — | 2 | 1 | no | — |
| 562 | #117 | — | 118 | 1 | no | — |
| 563 | C2×C4⋊C4 | — | 59 | 1 | no | — |
| 564 | C2×C4⋊C4 | — | 59 | 1 | no | — |
| 565 | C2×C4⋊C4 | — | 59 | 1 | no | — |
| 566 | C2×C4⋊C4 | — | 118 | 1 | no | — |
| 567 | C2×C22⋊C4 | — | 59 | 1 | no | — |
| 568 | C2×C22⋊C4 | — | 59 | 1 | no | — |
| 569 | C2×C22⋊C4 | — | 59 | 1 | no | — |
| 570 | C2×C22⋊C4 | — | 118 | 1 | no | — |
| 571 | C2×C22⋊C4 | — | 118 | 1 | no | — |
| 572 | C2×C22⋊C4 | — | 118 | 2 | no | — |
| 573 | C2×C22⋊C4 | — | 118 | 2 | no | — |
| 574 | C2×C22⋊C4 | — | 118 | 2 | no | — |
| 575 | C2×C42 | C22×D59 | 1 | 1 | yes | characteristic |
| 576 | C4⋊C8 | — | 2 | 1 | no | — |
| 577 | C4⋊C8 | — | 118 | 1 | no | — |
| 578 | #102 | — | 2 | 2 | no | — |
| 579 | #102 | — | 2 | 2 | no | — |
| 580 | #102 | — | 118 | 2 | no | — |
| 581 | #102 | — | 118 | 2 | no | — |
| 582 | C22⋊C8 | — | 59 | 2 | no | — |
| 583 | C22⋊C8 | C22×D59 | 1 | 2 | yes | — |
| 584 | #97 | — | 2 | 1 | no | — |
| 585 | C4×C8 | — | 118 | 1 | no | — |
| 586 | #95 | — | 59 | 2 | no | — |
| 587 | #95 | — | 118 | 1 | no | — |
| 588 | #95 | — | 118 | 1 | no | — |
| 589 | C24 | — | 2 | 2 | no | — |
| 590 | C24 | — | 59 | 1 | no | — |
| 591 | C24 | — | 118 | 1 | no | — |
| 592 | #41 | — | 472 | 2 | no | — |
| 593 | #41 | — | 472 | 2 | no | — |
| 594 | C2×Q8 | — | 118 | 1 | no | — |
| 595 | C2×Q8 | — | 118 | 1 | no | — |
| 596 | C2×Q8 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 597 | C2×D4 | — | 2 | 1 | no | — |
| 598 | C2×D4 | — | 2 | 2 | no | — |
| 599 | C2×D4 | — | 2 | 2 | no | — |
| 600 | C2×D4 | — | 4 | 1 | no | — |
| 601 | C2×D4 | — | 4 | 1 | no | — |
| 602 | C2×D4 | — | 4 | 1 | no | — |
| 603 | C2×D4 | — | 4 | 1 | no | — |
| 604 | C2×D4 | — | 8 | 2 | no | — |
| 605 | C2×D4 | — | 8 | 2 | no | — |
| 606 | C2×D4 | — | 8 | 2 | no | — |
| 607 | C2×D4 | — | 59 | 1 | no | — |
| 608 | C2×D4 | — | 59 | 1 | no | — |
| 609 | C2×D4 | — | 118 | 1 | no | — |
| 610 | C2×D4 | — | 118 | 1 | no | — |
| 611 | C2×D4 | — | 118 | 1 | no | — |
| 612 | C2×D4 | — | 118 | 1 | no | — |
| 613 | C2×D4 | — | 118 | 1 | no | — |
| 614 | C2×D4 | — | 118 | 1 | no | — |
| 615 | C2×D4 | — | 118 | 1 | no | — |
| 616 | C2×D4 | — | 118 | 1 | no | — |
| 617 | C2×D4 | — | 118 | 1 | no | — |
| 618 | C2×D4 | — | 118 | 1 | no | — |
| 619 | C2×D4 | — | 118 | 1 | no | — |
| 620 | C2×D4 | — | 472 | 2 | no | — |
| 621 | C2×D4 | — | 472 | 2 | no | — |
| 622 | C2×D4 | — | 472 | 2 | no | — |
| 623 | C2×D4 | — | 472 | 2 | no | — |
| 624 | C2×D4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 625 | C22×C4 | — | 2 | 1 | no | — |
| 626 | C22×C4 | — | 59 | 1 | no | — |
| 627 | C22×C4 | — | 59 | 1 | no | — |
| 628 | C22×C4 | — | 59 | 1 | no | — |
| 629 | C22×C4 | — | 118 | 1 | no | — |
| 630 | C22×C4 | — | 118 | 1 | no | — |
| 631 | C22×C4 | — | 118 | 1 | no | — |
| 632 | C22×C4 | — | 118 | 1 | no | — |
| 633 | C22×C4 | — | 118 | 1 | no | — |
| 634 | C22×C4 | — | 118 | 1 | no | — |
| 635 | C22×C4 | — | 118 | 1 | no | — |
| 636 | C22×C4 | — | 118 | 2 | no | — |
| 637 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 638 | C22×C4 | D4×D59 | 1 | 1 | yes | characteristic |
| 639 | C22×C4 | C23×D59 | 1 | 1 | yes | characteristic |
| 640 | SD16 | — | 8 | 2 | no | — |
| 641 | D8 | — | 8 | 2 | no | — |
| 642 | D8 | — | 472 | 2 | no | — |
| 643 | D8 | — | 472 | 2 | no | — |
| 644 | C2×C8 | — | 2 | 2 | no | — |
| 645 | C2×C8 | — | 118 | 2 | no | — |
| 646 | C4⋊C4 | — | 2 | 1 | no | — |
| 647 | C4⋊C4 | — | 2 | 1 | no | — |
| 648 | C4⋊C4 | — | 2 | 1 | no | — |
| 649 | C4⋊C4 | — | 2 | 1 | no | — |
| 650 | C4⋊C4 | — | 59 | 1 | no | — |
| 651 | C4⋊C4 | — | 59 | 1 | no | — |
| 652 | C4⋊C4 | — | 118 | 1 | no | — |
| 653 | C4⋊C4 | — | 118 | 1 | no | — |
| 654 | C4⋊C4 | — | 118 | 1 | no | — |
| 655 | C4⋊C4 | — | 118 | 1 | no | — |
| 656 | C4⋊C4 | — | 118 | 1 | no | — |
| 657 | C4⋊C4 | — | 118 | 1 | no | — |
| 658 | C4⋊C4 | — | 118 | 1 | no | — |
| 659 | C4⋊C4 | — | 118 | 1 | no | — |
| 660 | C4⋊C4 | — | 118 | 1 | no | — |
| 661 | C4⋊C4 | — | 118 | 1 | no | — |
| 662 | C4⋊C4 | — | 118 | 1 | no | — |
| 663 | C4⋊C4 | — | 118 | 1 | no | — |
| 664 | C4⋊C4 | — | 118 | 1 | no | — |
| 665 | C4⋊C4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 666 | C4⋊C4 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 667 | C22⋊C4 | — | 2 | 1 | no | — |
| 668 | C22⋊C4 | — | 2 | 1 | no | — |
| 669 | C22⋊C4 | — | 2 | 1 | no | — |
| 670 | C22⋊C4 | — | 2 | 1 | no | — |
| 671 | C22⋊C4 | — | 2 | 1 | no | — |
| 672 | C22⋊C4 | — | 118 | 1 | no | — |
| 673 | C22⋊C4 | — | 118 | 1 | no | — |
| 674 | C22⋊C4 | — | 118 | 1 | no | — |
| 675 | C22⋊C4 | — | 118 | 1 | no | — |
| 676 | C22⋊C4 | — | 118 | 1 | no | — |
| 677 | C22⋊C4 | — | 118 | 1 | no | — |
| 678 | C22⋊C4 | — | 118 | 1 | no | — |
| 679 | C22⋊C4 | — | 118 | 1 | no | — |
| 680 | C22⋊C4 | — | 118 | 1 | no | — |
| 681 | C22⋊C4 | — | 118 | 1 | no | — |
| 682 | C22⋊C4 | — | 118 | 1 | no | — |
| 683 | C22⋊C4 | — | 118 | 1 | no | — |
| 684 | C22⋊C4 | — | 118 | 1 | no | — |
| 685 | C22⋊C4 | — | 118 | 1 | no | — |
| 686 | C22⋊C4 | — | 118 | 1 | no | — |
| 687 | C22⋊C4 | — | 118 | 1 | no | — |
| 688 | C22⋊C4 | — | 118 | 1 | no | — |
| 689 | C22⋊C4 | — | 118 | 1 | no | — |
| 690 | C22⋊C4 | — | 118 | 1 | no | — |
| 691 | C22⋊C4 | — | 118 | 1 | no | — |
| 692 | C22⋊C4 | — | 472 | 2 | no | — |
| 693 | C22⋊C4 | — | 472 | 2 | no | — |
| 694 | C22⋊C4 | — | 472 | 2 | no | — |
| 695 | C42 | — | 2 | 1 | no | — |
| 696 | C42 | — | 118 | 1 | no | — |
| 697 | C42 | — | 118 | 1 | no | — |
| 698 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 699 | C42 | D4×D59 | 1 | 1 | yes | characteristic |
| 700 | C42 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 701 | C42 | C2×C22⋊D59 | 1 | 1 | yes | characteristic |
| 702 | C23 | — | 2 | 1 | no | — |
| 703 | C23 | — | 4 | 2 | no | — |
| 704 | C23 | — | 4 | 2 | no | — |
| 705 | C23 | — | 4 | 2 | no | — |
| 706 | C23 | — | 4 | 2 | no | — |
| 707 | C23 | — | 4 | 2 | no | — |
| 708 | C23 | — | 4 | 2 | no | — |
| 709 | C23 | — | 4 | 2 | no | — |
| 710 | C23 | — | 118 | 2 | no | — |
| 711 | C23 | — | 118 | 1 | no | — |
| 712 | C23 | — | 118 | 1 | no | — |
| 713 | C23 | — | 118 | 1 | no | — |
| 714 | C23 | — | 472 | 1 | no | — |
| 715 | C23 | — | 472 | 1 | no | — |
| 716 | C23 | — | 472 | 1 | no | — |
| 717 | C23 | — | 236 | 1 | no | — |
| 718 | C23 | — | 236 | 1 | no | — |
| 719 | C23 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 720 | Q8 | — | 4 | 1 | no | — |
| 721 | Q8 | — | 472 | 1 | no | — |
| 722 | Q8 | — | 472 | 1 | no | — |
| 723 | D4 | — | 4 | 1 | no | — |
| 724 | D4 | — | 4 | 2 | no | — |
| 725 | D4 | — | 4 | 2 | no | — |
| 726 | D4 | — | 4 | 2 | no | — |
| 727 | D4 | — | 4 | 2 | no | — |
| 728 | D4 | — | 4 | 2 | no | — |
| 729 | D4 | — | 8 | 2 | no | — |
| 730 | D4 | — | 8 | 2 | no | — |
| 731 | D4 | — | 8 | 2 | no | — |
| 732 | D4 | — | 8 | 2 | no | — |
| 733 | D4 | — | 472 | 1 | no | — |
| 734 | D4 | — | 472 | 1 | no | — |
| 735 | D4 | — | 472 | 1 | no | — |
| 736 | D4 | — | 472 | 1 | no | — |
| 737 | D4 | — | 472 | 1 | no | — |
| 738 | D4 | — | 472 | 8 | no | — |
| 739 | D4 | — | 472 | 1 | no | — |
| 740 | D4 | — | 472 | 1 | no | — |
| 741 | D4 | — | 472 | 1 | no | — |
| 742 | D4 | — | 472 | 1 | no | — |
| 743 | D4 | — | 236 | 1 | no | — |
| 744 | D4 | — | 236 | 1 | no | — |
| 745 | D4 | — | 236 | 2 | no | — |
| 746 | D4 | — | 236 | 2 | no | — |
| 747 | C2×C4 | — | 2 | 2 | no | — |
| 748 | C2×C4 | — | 2 | 1 | no | — |
| 749 | C2×C4 | — | 2 | 1 | no | — |
| 750 | C2×C4 | — | 2 | 1 | no | — |
| 751 | C2×C4 | — | 4 | 1 | no | — |
| 752 | C2×C4 | — | 4 | 1 | no | — |
| 753 | C2×C4 | — | 8 | 1 | no | — |
| 754 | C2×C4 | — | 118 | 2 | no | — |
| 755 | C2×C4 | — | 118 | 1 | no | — |
| 756 | C2×C4 | — | 118 | 1 | no | — |
| 757 | C2×C4 | — | 118 | 1 | no | — |
| 758 | C2×C4 | — | 118 | 1 | no | — |
| 759 | C2×C4 | — | 118 | 1 | no | — |
| 760 | C2×C4 | — | 472 | 1 | no | — |
| 761 | C2×C4 | — | 472 | 1 | no | — |
| 762 | C2×C4 | — | 472 | 1 | no | — |
| 763 | C2×C4 | — | 472 | 1 | no | — |
| 764 | C2×C4 | — | 472 | 1 | no | — |
| 765 | C2×C4 | — | 472 | 1 | no | — |
| 766 | C2×C4 | — | 472 | 1 | no | — |
| 767 | C2×C4 | — | 236 | 2 | no | — |
| 768 | C2×C4 | — | 236 | 2 | no | — |
| 769 | C2×C4 | — | 236 | 2 | no | — |
| 770 | C2×C4 | — | 236 | 1 | no | — |
| 771 | C2×C4 | — | 236 | 1 | no | — |
| 772 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 773 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 774 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 775 | C2×C4 | #14273695 | 1 | 1 | yes | characteristic |
| 776 | C2×C4 | C2×D4×D59 | 1 | 1 | yes | characteristic |
| 777 | C2×C4 | C22×C22⋊D59 | 1 | 1 | yes | characteristic |
| 778 | C8 | — | 4 | 2 | no | — |
| 779 | C8 | — | 236 | 2 | no | — |
| 780 | C22 | — | 2 | 1 | no | — |
| 781 | C22 | — | 2 | 1 | no | — |
| 782 | C22 | — | 4 | 1 | no | — |
| 783 | C22 | — | 4 | 1 | no | — |
| 784 | C22 | — | 4 | 1 | no | — |
| 785 | C22 | — | 8 | 2 | no | — |
| 786 | C22 | — | 8 | 2 | no | — |
| 787 | C22 | — | 8 | 2 | no | — |
| 788 | C22 | — | 8 | 2 | no | — |
| 789 | C22 | — | 8 | 2 | no | — |
| 790 | C22 | — | 8 | 2 | no | — |
| 791 | C22 | — | 8 | 2 | no | — |
| 792 | C22 | — | 944 | 2 | no | — |
| 793 | C22 | — | 472 | 2 | no | — |
| 794 | C22 | — | 236 | 1 | no | — |
| 795 | C22 | — | 236 | 1 | no | — |
| 796 | C22 | — | 236 | 1 | no | — |
| 797 | C22 | — | 236 | 1 | no | — |
| 798 | C22 | — | 236 | 1 | no | — |
| 799 | C22 | — | 236 | 1 | no | — |
| 800 | C22 | — | 236 | 1 | no | — |
| 801 | C22 | — | 236 | 1 | no | — |
| 802 | C22 | — | 236 | 1 | no | — |
| 803 | C22 | C2×#14273695 | 1 | 1 | yes | characteristic |
| 804 | C22 | #16838206 | 1 | 2 | yes | — |
| 805 | C4 | — | 2 | 1 | no | — |
| 806 | C4 | — | 2 | 1 | no | — |
| 807 | C4 | — | 2 | 1 | no | — |
| 808 | C4 | — | 2 | 1 | no | — |
| 809 | C4 | — | 2 | 1 | no | — |
| 810 | C4 | — | 2 | 1 | no | — |
| 811 | C4 | — | 4 | 1 | no | — |
| 812 | C4 | — | 4 | 1 | no | — |
| 813 | C4 | — | 4 | 1 | no | — |
| 814 | C4 | — | 472 | 2 | no | — |
| 815 | C4 | — | 236 | 1 | no | — |
| 816 | C4 | — | 236 | 1 | no | — |
| 817 | C4 | — | 236 | 1 | no | — |
| 818 | C4 | — | 236 | 1 | no | — |
| 819 | C4 | — | 236 | 1 | no | — |
| 820 | C2 | — | 2 | 2 | no | — |
| 821 | C2 | — | 8 | 1 | no | — |
| 822 | C2 | — | 16 | 2 | no | — |
| 823 | C2 | — | 472 | 1 | no | — |
| 824 | C2 | — | 472 | 1 | no | — |
| 825 | C2 | — | 472 | 1 | no | — |
| 826 | C2 | #21433363 | 1 | 1 | yes | characteristic |
| 827 | C2 | #21433465 | 1 | 1 | yes | characteristic |
| 828 | C2 | #21433497 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21438642 | C2 | semidirect |
| 2. #21435014 | C2 | semidirect |
| 3. #21432137 | C2 | semidirect |
| 4. #21423041 | C2 | semidirect |
| 5. #21423029 | C2 | semidirect |
| 6. #21423024 | C2 | semidirect |
| 7. #21423012 | C2 | semidirect |
| 8. #21422673 | C2 | semidirect |
| 9. #21422644 | C2 | semidirect |
| 10. #21422466 | C2 | semidirect |
| 11. C59×#3217 | C2 | semidirect |
| 35. #16837536 | C22 | semidirect |
| 36. #16837455 | C22 | semidirect |
| 39. #16837316 | C22 | semidirect |
| 43. #16837270 | C22 | semidirect |
| 44. #16837139 | C22 | semidirect |
| 46. #16837137 | C22 | semidirect |
| 48. #16837127 | C22 | semidirect |
| 50. C2×#127×C59 | C22 | semidirect |
| 56. C59×#450 | C22 | semidirect |
| 58. C59×#432 | C22 | semidirect |
| 65. #14273727 | D4 | semidirect |
| 67. #14273724 | D4 | semidirect |
| 121. C4×D236 | D4 | semidirect |
| 122. C4×D236 | D4 | semidirect |
| 159. #125×C59 | D4 | semidirect |
| 160. #124×C59 | D4 | semidirect |
| 164. C4×Q8×C59 | D4 | semidirect |
| 166. C4×D4×C59 | D4 | semidirect |
| 407. #3217 | D59 | semidirect |
| 443. C2×#127 | C2×D59 | semidirect |
| 454. #450 | C2×D59 | semidirect |
| 458. #432 | C2×D59 | semidirect |
| 473. C59 | #18462 | semidirect |
| 503. #125 | C22⋊D59 | semidirect |
| 508. #124 | C22⋊D59 | semidirect |
| 549. C4×Q8 | C22⋊D59 | semidirect |
| 560. C4×D4 | C22⋊D59 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21438642 | 2 |
| #21435014 | 2 |
| #21432137 | 2 |
| #21423041 | 2 |
| #21423029 | 2 |
| #21423024 | 2 |
| #21423012 | 2 |
| #21422673 | 2 |
| #21422644 | 2 |
| #21422466 | 2 |
| C59×#3217 | 2 |
| #18462 | 59 |