Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
4770 conjugacy classes of subgroups.
The subgroup lattice has 692 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #21460630 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21460607 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21460605 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #21459612 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #21455199 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #21455178 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #21455170 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C2×#16839941 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #21454367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21454297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C61×#2901 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #16840599 | — | 2 | 4 | no | — |
| 13 | #16840599 | — | 2 | 2 | no | — |
| 14 | #16840598 | — | 2 | 4 | no | — |
| 15 | #16840598 | C22 | 1 | 6 | yes | — |
| 16 | #16840598 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14519824 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×#14519823 | — | 2 | 4 | no | — |
| 19 | C2×#14519823 | C22 | 1 | 6 | yes | — |
| 20 | C2×#14519823 | C22 | 1 | 1 | yes | characteristic |
| 21 | H(5,𝔽2)×D61 | — | 2 | 4 | no | — |
| 22 | H(5,𝔽2)×D61 | — | 2 | 6 | no | — |
| 23 | #16840579 | — | 2 | 4 | no | — |
| 24 | #16840577 | — | 2 | 4 | no | — |
| 25 | #16840574 | — | 2 | 4 | no | — |
| 26 | #16840573 | — | 2 | 4 | no | — |
| 27 | #16840562 | C22 | 1 | 6 | yes | complemented |
| 28 | #16840560 | C22 | 1 | 6 | yes | complemented |
| 29 | C2×#14519810 | C22 | 1 | 6 | yes | complemented |
| 30 | C2×#14519807 | C22 | 1 | 6 | yes | complemented |
| 31 | #16840529 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #16840424 | — | 2 | 2 | no | — |
| 33 | #16840407 | — | 2 | 6 | no | — |
| 34 | #16840338 | C22 | 1 | 3 | yes | complemented |
| 35 | #16840331 | C22 | 1 | 3 | yes | complemented |
| 36 | #16840312 | C22 | 1 | 3 | yes | complemented |
| 37 | C2×#14519765 | C22 | 1 | 3 | yes | complemented |
| 38 | #16839946 | C22 | 1 | 12 | yes | complemented |
| 39 | #16839941 | C22 | 1 | 12 | yes | complemented |
| 40 | #16839941 | C22 | 1 | 24 | yes | complemented |
| 41 | #16839936 | C22 | 1 | 4 | yes | complemented |
| 42 | #16839931 | C22 | 1 | 12 | yes | complemented |
| 43 | #16839780 | C22 | 1 | 6 | yes | complemented |
| 44 | C2×#14519705 | C22 | 1 | 6 | yes | complemented |
| 45 | #16839744 | C22 | 1 | 6 | yes | complemented |
| 46 | C2×#14519693 | C22 | 1 | 6 | yes | complemented |
| 47 | C61×#585 | C22 | 1 | 1 | yes | characteristic |
| 48 | C61×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C4×#41×C61 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C61×#421 | C22 | 1 | 6 | yes | complemented |
| 51 | C2×#104×C61 | C22 | 1 | 6 | yes | complemented |
| 52 | #14519825 | — | 2 | 8 | no | — |
| 53 | #14519825 | — | 2 | 6 | no | — |
| 54 | #14519825 | — | 2 | 1 | no | — |
| 55 | #14519824 | — | 2 | 4 | no | — |
| 56 | #14519824 | — | 2 | 4 | no | — |
| 57 | #14519824 | — | 2 | 6 | no | — |
| 58 | #14519824 | D4 | 1 | 4 | yes | complemented |
| 59 | #14519824 | C23 | 1 | 4 | yes | — |
| 60 | #14519823 | — | 2 | 8 | no | — |
| 61 | #14519823 | — | 2 | 24 | no | — |
| 62 | #14519823 | — | 2 | 12 | no | — |
| 63 | #14519823 | — | 2 | 4 | no | — |
| 64 | #14519823 | — | 2 | 4 | no | — |
| 65 | #14519823 | — | 2 | 12 | no | — |
| 66 | #14519823 | — | 2 | 12 | no | — |
| 67 | #14519823 | — | 2 | 6 | no | — |
| 68 | #14519823 | D4 | 1 | 4 | yes | complemented |
| 69 | #14519823 | C23 | 1 | 12 | yes | — |
| 70 | #14519822 | — | 2 | 24 | no | — |
| 71 | #14519822 | — | 2 | 6 | no | — |
| 72 | #14519822 | — | 2 | 3 | no | — |
| 73 | #14519822 | — | 2 | 12 | no | — |
| 74 | C2×#11758226 | — | 2 | 8 | no | — |
| 75 | C2×#11758226 | — | 2 | 6 | no | — |
| 76 | C2×#11758226 | D4 | 1 | 2 | yes | — |
| 77 | C2×#11758222 | — | 2 | 12 | no | — |
| 78 | C2×#11758222 | — | 2 | 6 | no | — |
| 79 | C2×#11758222 | C23 | 1 | 6 | yes | — |
| 80 | C2×#11758222 | C23 | 1 | 3 | yes | — |
| 81 | C2×#11758222 | C23 | 1 | 3 | yes | complemented |
| 82 | C2×#11758224 | — | 2 | 3 | no | — |
| 83 | #41×D61 | — | 2 | 8 | no | — |
| 84 | #41×D61 | — | 2 | 24 | no | — |
| 85 | #41×D61 | — | 2 | 12 | no | — |
| 86 | #41×D61 | — | 2 | 4 | no | — |
| 87 | #41×D61 | — | 2 | 12 | no | — |
| 88 | C22×Dic122 | C23 | 1 | 3 | yes | complemented |
| 89 | C2×Q8×D61 | — | 2 | 1 | no | — |
| 90 | C22×D244 | — | 2 | 6 | no | — |
| 91 | C22×D244 | C23 | 1 | 3 | yes | — |
| 92 | C2×D4×D61 | — | 2 | 24 | no | — |
| 93 | C2×D4×D61 | — | 2 | 12 | no | — |
| 94 | C2×D4×D61 | — | 2 | 6 | no | — |
| 95 | C2×D4×D61 | D4 | 1 | 6 | yes | — |
| 96 | #14519810 | — | 2 | 12 | no | — |
| 97 | #14519810 | — | 2 | 6 | no | — |
| 98 | #14519810 | C23 | 1 | 12 | yes | complemented |
| 99 | #14519808 | — | 2 | 6 | no | — |
| 100 | #14519807 | — | 2 | 12 | no | — |
| 101 | #14519807 | C23 | 1 | 12 | yes | complemented |
| 102 | #14519805 | — | 2 | 6 | no | — |
| 103 | #14519805 | C23 | 1 | 4 | yes | complemented |
| 104 | #14519803 | — | 2 | 6 | no | — |
| 105 | #14519802 | C23 | 1 | 4 | yes | complemented |
| 106 | #14519799 | — | 2 | 12 | no | — |
| 107 | #14519797 | — | 2 | 12 | no | — |
| 108 | C2×Dic244 | — | 2 | 6 | no | — |
| 109 | C2×#11758202 | — | 2 | 6 | no | — |
| 110 | C2×#11758190 | — | 2 | 6 | no | — |
| 111 | C2×#11758200 | — | 2 | 6 | no | — |
| 112 | #14519784 | — | 2 | 4 | no | — |
| 113 | C2×#11758194 | C23 | 1 | 6 | yes | complemented |
| 114 | #14519777 | C23 | 1 | 3 | yes | complemented |
| 115 | #14519774 | C23 | 1 | 3 | yes | complemented |
| 116 | #14519765 | — | 2 | 6 | no | — |
| 117 | #14519765 | C23 | 1 | 1 | yes | characteristic, complemented |
| 118 | #14519765 | C23 | 1 | 3 | yes | complemented |
| 119 | #14519765 | C23 | 1 | 6 | yes | complemented |
| 120 | #14519761 | — | 2 | 6 | no | — |
| 121 | #14519757 | — | 2 | 6 | no | — |
| 122 | #14519752 | — | 2 | 6 | no | — |
| 123 | #14519751 | — | 2 | 6 | no | — |
| 124 | #14519747 | — | 2 | 6 | no | — |
| 125 | C4×D244 | — | 2 | 6 | no | — |
| 126 | C2×#11758198 | — | 2 | 6 | no | — |
| 127 | #14519705 | C23 | 1 | 4 | yes | complemented |
| 128 | #14519705 | C23 | 1 | 12 | yes | complemented |
| 129 | #14519695 | C23 | 1 | 4 | yes | complemented |
| 130 | #14519693 | C23 | 1 | 12 | yes | complemented |
| 131 | 2−1+4×C61 | — | 2 | 1 | no | — |
| 132 | 2−1+4×C61 | D4 | 1 | 4 | yes | complemented |
| 133 | H(5,𝔽2)×C61 | — | 2 | 3 | no | — |
| 134 | H(5,𝔽2)×C61 | D4 | 1 | 4 | yes | complemented |
| 135 | C2×#41×C61 | — | 2 | 4 | no | — |
| 136 | C2×#41×C61 | C23 | 1 | 6 | yes | — |
| 137 | C2×#41×C61 | C23 | 1 | 1 | yes | characteristic |
| 138 | #131×C61 | — | 2 | 4 | no | — |
| 139 | C2×M16×C61 | C23 | 1 | 6 | yes | complemented |
| 140 | C4×Q8×C61 | — | 2 | 1 | no | — |
| 141 | C4×D4×C61 | — | 2 | 3 | no | — |
| 142 | #117×C61 | C23 | 1 | 3 | yes | complemented |
| 143 | C2×C42×C61 | C23 | 1 | 3 | yes | complemented |
| 144 | #104×C61 | C23 | 1 | 4 | yes | complemented |
| 145 | #104×C61 | C23 | 1 | 12 | yes | complemented |
| 146 | C23×D61 | — | 2 | 12 | no | — |
| 147 | C23×D61 | C2×D4 | 1 | 6 | yes | — |
| 148 | #41×C61 | — | 2 | 4 | no | — |
| 149 | #41×C61 | — | 2 | 12 | no | — |
| 150 | #41×C61 | — | 2 | 6 | no | — |
| 151 | #41×C61 | — | 2 | 6 | no | — |
| 152 | #41×C61 | C2×D4 | 1 | 12 | yes | — |
| 153 | #41×C61 | C2×D4 | 1 | 4 | yes | — |
| 154 | #41×C61 | C2×D4 | 1 | 4 | yes | — |
| 155 | #41×C61 | C24 | 1 | 4 | yes | — |
| 156 | C2×Q8×C61 | — | 2 | 4 | no | — |
| 157 | C2×Q8×C61 | C2×D4 | 1 | 6 | yes | — |
| 158 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×D4×C61 | — | 2 | 6 | no | — |
| 160 | C2×D4×C61 | — | 2 | 12 | no | — |
| 161 | C2×D4×C61 | C2×D4 | 1 | 6 | yes | — |
| 162 | C2×D4×C61 | C2×D4 | 1 | 3 | yes | — |
| 163 | C22×C4×C61 | — | 2 | 6 | no | — |
| 164 | C22×C4×C61 | — | 2 | 3 | no | — |
| 165 | C22×C4×C61 | C24 | 1 | 3 | yes | — |
| 166 | C2×C22⋊D61 | — | 2 | 24 | no | — |
| 167 | C2×C22⋊D61 | — | 2 | 12 | no | — |
| 168 | C2×C22⋊D61 | — | 2 | 6 | no | — |
| 169 | C2×C22⋊D61 | — | 2 | 3 | no | — |
| 170 | C2×C22⋊D61 | C2×D4 | 1 | 6 | yes | — |
| 171 | C22×Dic61 | — | 2 | 3 | no | — |
| 172 | #11758226 | — | 2 | 24 | no | — |
| 173 | #11758226 | — | 2 | 12 | no | — |
| 174 | #11758226 | — | 2 | 4 | no | — |
| 175 | #11758226 | — | 2 | 8 | no | — |
| 176 | #11758226 | — | 2 | 12 | no | — |
| 177 | Q8×D61 | — | 2 | 12 | no | — |
| 178 | Q8×D61 | — | 2 | 4 | no | — |
| 179 | Q8×D61 | — | 2 | 4 | no | — |
| 180 | Q8×D61 | — | 4 | 4 | no | — |
| 181 | #11758224 | — | 2 | 24 | no | — |
| 182 | #11758224 | — | 2 | 12 | no | — |
| 183 | #11758224 | — | 2 | 12 | no | — |
| 184 | #11758224 | — | 2 | 4 | no | — |
| 185 | #11758224 | — | 2 | 8 | no | — |
| 186 | #11758224 | — | 4 | 12 | no | — |
| 187 | D4×D61 | — | 2 | 24 | no | — |
| 188 | D4×D61 | — | 2 | 48 | no | — |
| 189 | D4×D61 | — | 2 | 24 | no | — |
| 190 | D4×D61 | — | 2 | 12 | no | — |
| 191 | D4×D61 | — | 2 | 24 | no | — |
| 192 | D4×D61 | — | 2 | 12 | no | — |
| 193 | D4×D61 | — | 2 | 24 | no | — |
| 194 | D4×D61 | — | 2 | 12 | no | — |
| 195 | #11758222 | — | 2 | 24 | no | — |
| 196 | #11758222 | — | 2 | 24 | no | — |
| 197 | #11758222 | — | 2 | 24 | no | — |
| 198 | #11758222 | — | 2 | 6 | no | — |
| 199 | #11758222 | — | 2 | 6 | no | — |
| 200 | #11758222 | — | 2 | 6 | no | — |
| 201 | #11758222 | — | 2 | 6 | no | — |
| 202 | #11758222 | — | 2 | 4 | no | — |
| 203 | #11758222 | — | 2 | 6 | no | — |
| 204 | #11758222 | — | 2 | 6 | no | — |
| 205 | #11758222 | — | 2 | 12 | no | — |
| 206 | #11758222 | C2×D4 | 1 | 12 | yes | — |
| 207 | #11758222 | C24 | 1 | 4 | yes | — |
| 208 | C2×D244 | — | 2 | 12 | no | — |
| 209 | C2×D244 | — | 2 | 24 | no | — |
| 210 | C2×D244 | — | 2 | 6 | no | — |
| 211 | C2×D244 | — | 2 | 6 | no | — |
| 212 | C2×D244 | — | 2 | 12 | no | — |
| 213 | C2×D244 | — | 2 | 6 | no | — |
| 214 | C2×D244 | C2×D4 | 1 | 6 | yes | — |
| 215 | C2×D244 | C2×D4 | 1 | 6 | yes | — |
| 216 | C2×D244 | C24 | 1 | 1 | yes | characteristic |
| 217 | C2×D244 | C24 | 1 | 3 | yes | — |
| 218 | C2×C4×D61 | — | 2 | 12 | no | — |
| 219 | C2×C4×D61 | — | 2 | 24 | no | — |
| 220 | C2×C4×D61 | — | 2 | 6 | no | — |
| 221 | C2×C4×D61 | — | 2 | 3 | no | — |
| 222 | C2×C4×D61 | C2×D4 | 1 | 6 | yes | — |
| 223 | C2×Dic122 | — | 2 | 4 | no | — |
| 224 | C2×Dic122 | — | 2 | 6 | no | — |
| 225 | C2×Dic122 | — | 2 | 6 | no | — |
| 226 | C2×Dic122 | — | 2 | 3 | no | — |
| 227 | C2×Dic122 | C2×D4 | 1 | 6 | yes | — |
| 228 | C2×Dic122 | C24 | 1 | 3 | yes | — |
| 229 | C2×Dic122 | C24 | 1 | 1 | yes | characteristic |
| 230 | M16×C61 | — | 2 | 6 | no | — |
| 231 | M16×C61 | C24 | 1 | 4 | yes | — |
| 232 | C2×C8×C61 | — | 2 | 6 | no | — |
| 233 | C4⋊C4×C61 | — | 2 | 3 | no | — |
| 234 | C22⋊C4×C61 | — | 2 | 3 | no | — |
| 235 | C42×C61 | — | 2 | 3 | no | — |
| 236 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 237 | C42×C61 | C24 | 1 | 3 | yes | — |
| 238 | #11758202 | — | 2 | 12 | no | — |
| 239 | #11758201 | — | 2 | 4 | no | — |
| 240 | #11758200 | — | 2 | 12 | no | — |
| 241 | #11758199 | — | 2 | 4 | no | — |
| 242 | #11758198 | — | 2 | 6 | no | — |
| 243 | #11758198 | — | 2 | 12 | no | — |
| 244 | #11758198 | — | 2 | 2 | no | — |
| 245 | C4⋊Dic61 | — | 2 | 6 | no | — |
| 246 | #11758194 | — | 2 | 6 | no | — |
| 247 | #11758194 | C24 | 1 | 4 | yes | — |
| 248 | C2×#92418 | — | 2 | 6 | no | — |
| 249 | Dic244 | — | 2 | 12 | no | — |
| 250 | D488 | — | 2 | 4 | no | — |
| 251 | #11758190 | — | 2 | 12 | no | — |
| 252 | #11758190 | — | 2 | 4 | no | — |
| 253 | C23×C61 | — | 2 | 6 | no | — |
| 254 | C23×C61 | C22×D4 | 1 | 3 | yes | — |
| 255 | C22×D61 | — | 2 | 24 | no | — |
| 256 | C22×D61 | — | 2 | 12 | no | — |
| 257 | C22×D61 | — | 2 | 6 | no | — |
| 258 | C22×D61 | — | 2 | 1 | no | — |
| 259 | C22×D61 | — | 8 | 6 | no | — |
| 260 | C22×D61 | — | 16 | 12 | no | — |
| 261 | C22×D61 | C22×D4 | 1 | 6 | yes | — |
| 262 | Q8×C61 | — | 2 | 6 | no | — |
| 263 | Q8×C61 | #120 | 1 | 4 | yes | — |
| 264 | Q8×C61 | C22×D4 | 1 | 4 | yes | — |
| 265 | D4×C61 | — | 2 | 12 | no | — |
| 266 | D4×C61 | — | 2 | 4 | no | — |
| 267 | D4×C61 | — | 2 | 6 | no | — |
| 268 | D4×C61 | #120 | 1 | 12 | yes | — |
| 269 | D4×C61 | C22×D4 | 1 | 4 | yes | — |
| 270 | C2×C4×C61 | — | 2 | 6 | no | — |
| 271 | C2×C4×C61 | — | 2 | 12 | no | — |
| 272 | C2×C4×C61 | — | 2 | 4 | no | — |
| 273 | C2×C4×C61 | — | 2 | 3 | no | — |
| 274 | C2×C4×C61 | — | 2 | 1 | no | — |
| 275 | C2×C4×C61 | — | 8 | 3 | no | — |
| 276 | C2×C4×C61 | C22×D4 | 1 | 3 | yes | — |
| 277 | C2×C4×C61 | C22×D4 | 1 | 6 | yes | — |
| 278 | C2×C4×C61 | C22×D4 | 1 | 6 | yes | — |
| 279 | C2×C4×C61 | C25 | 1 | 1 | yes | characteristic |
| 280 | C22⋊D61 | — | 2 | 8 | no | — |
| 281 | C22⋊D61 | — | 2 | 24 | no | — |
| 282 | C22⋊D61 | — | 2 | 12 | no | — |
| 283 | C22⋊D61 | — | 2 | 12 | no | — |
| 284 | C22⋊D61 | — | 2 | 4 | no | — |
| 285 | C22⋊D61 | — | 4 | 6 | no | — |
| 286 | C2×Dic61 | — | 2 | 8 | no | — |
| 287 | C2×Dic61 | — | 2 | 6 | no | — |
| 288 | C2×Dic61 | — | 2 | 3 | no | — |
| 289 | C2×Dic61 | — | 4 | 6 | no | — |
| 290 | C2×Dic61 | C22×D4 | 1 | 2 | yes | — |
| 291 | D244 | — | 2 | 24 | no | — |
| 292 | D244 | — | 2 | 12 | no | — |
| 293 | D244 | — | 2 | 6 | no | — |
| 294 | D244 | — | 2 | 3 | no | — |
| 295 | D244 | — | 2 | 3 | no | — |
| 296 | D244 | — | 2 | 1 | no | — |
| 297 | D244 | — | 2 | 1 | no | — |
| 298 | D244 | — | 8 | 6 | no | — |
| 299 | D244 | C22×D4 | 1 | 4 | yes | — |
| 300 | C4×D61 | — | 2 | 8 | no | — |
| 301 | C4×D61 | — | 2 | 24 | no | — |
| 302 | C4×D61 | — | 2 | 12 | no | — |
| 303 | C4×D61 | — | 2 | 12 | no | — |
| 304 | C4×D61 | — | 2 | 4 | no | — |
| 305 | C4×D61 | — | 4 | 6 | no | — |
| 306 | Dic122 | — | 2 | 8 | no | — |
| 307 | Dic122 | — | 2 | 6 | no | — |
| 308 | Dic122 | — | 2 | 1 | no | — |
| 309 | Dic122 | — | 2 | 1 | no | — |
| 310 | Dic122 | — | 2 | 3 | no | — |
| 311 | Dic122 | — | 2 | 3 | no | — |
| 312 | Dic122 | — | 4 | 6 | no | — |
| 313 | Dic122 | C22×D4 | 1 | 4 | yes | — |
| 314 | C8×C61 | — | 2 | 4 | no | — |
| 315 | #92418 | — | 2 | 4 | no | — |
| 316 | #60389 | — | 61 | 1 | no | maximal, Sylow |
| 317 | C22×C61 | — | 2 | 4 | no | — |
| 318 | C22×C61 | — | 4 | 3 | no | — |
| 319 | C22×C61 | — | 8 | 6 | no | — |
| 320 | C22×C61 | C2×#120 | 1 | 6 | yes | — |
| 321 | C22×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 322 | C2×D61 | — | 2 | 6 | no | — |
| 323 | C2×D61 | — | 2 | 4 | no | — |
| 324 | C2×D61 | — | 4 | 6 | no | — |
| 325 | C2×D61 | — | 4 | 2 | no | — |
| 326 | C2×D61 | — | 4 | 1 | no | — |
| 327 | C2×D61 | — | 8 | 12 | no | — |
| 328 | C2×D61 | — | 8 | 6 | no | — |
| 329 | C2×D61 | — | 8 | 24 | no | — |
| 330 | C4×C61 | — | 2 | 4 | no | — |
| 331 | C4×C61 | — | 4 | 3 | no | — |
| 332 | C4×C61 | — | 4 | 1 | no | — |
| 333 | C4×C61 | C2×#120 | 1 | 6 | yes | — |
| 334 | C4×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 335 | C4×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 336 | Dic61 | — | 2 | 2 | no | — |
| 337 | Dic61 | — | 2 | 4 | no | — |
| 338 | Dic61 | — | 4 | 3 | no | — |
| 339 | H(7,𝔽2) | — | 61 | 1 | no | — |
| 340 | #3586 | — | 61 | 1 | no | — |
| 341 | #3586 | — | 61 | 1 | no | — |
| 342 | #3500 | — | 61 | 1 | no | — |
| 343 | #3022 | — | 61 | 6 | no | — |
| 344 | #3019 | — | 61 | 6 | no | — |
| 345 | #3018 | — | 61 | 6 | no | — |
| 346 | C2×#455 | — | 61 | 6 | no | — |
| 347 | #2901 | — | 61 | 1 | no | — |
| 348 | #2901 | D61 | 1 | 1 | yes | characteristic, complemented |
| 349 | #2888 | — | 61 | 1 | no | — |
| 350 | C2×C61 | — | 2 | 1 | no | — |
| 351 | C2×C61 | — | 2 | 6 | no | — |
| 352 | C2×C61 | — | 4 | 4 | no | — |
| 353 | C2×C61 | C22×#120 | 1 | 1 | yes | characteristic |
| 354 | D61 | — | 4 | 6 | no | — |
| 355 | D61 | — | 4 | 4 | no | — |
| 356 | D61 | — | 8 | 1 | no | — |
| 357 | #585 | — | 61 | 1 | no | — |
| 358 | #585 | — | 61 | 6 | no | — |
| 359 | #585 | — | 122 | 4 | no | — |
| 360 | #585 | — | 122 | 2 | no | — |
| 361 | #585 | — | 122 | 4 | no | — |
| 362 | #585 | C2×D61 | 1 | 1 | yes | characteristic |
| 363 | C2×2−1+4 | — | 61 | 1 | no | — |
| 364 | C2×H(5,𝔽2) | — | 61 | 1 | no | — |
| 365 | C2×H(5,𝔽2) | — | 61 | 6 | no | — |
| 366 | C2×H(5,𝔽2) | — | 122 | 6 | no | — |
| 367 | C2×H(5,𝔽2) | — | 122 | 4 | no | — |
| 368 | C2×H(5,𝔽2) | — | 122 | 4 | no | — |
| 369 | #578 | — | 122 | 4 | no | — |
| 370 | #578 | — | 122 | 4 | no | — |
| 371 | #577 | — | 122 | 4 | no | — |
| 372 | #577 | — | 122 | 4 | no | — |
| 373 | #575 | — | 61 | 6 | no | — |
| 374 | #575 | — | 61 | 6 | no | — |
| 375 | C2×#137 | — | 61 | 6 | no | — |
| 376 | C2×#137 | — | 61 | 6 | no | — |
| 377 | #568 | — | 61 | 1 | no | — |
| 378 | #568 | C2×D61 | 1 | 1 | yes | characteristic, complemented |
| 379 | #548 | — | 122 | 2 | no | — |
| 380 | #546 | — | 122 | 6 | no | — |
| 381 | #536 | — | 61 | 3 | no | — |
| 382 | #535 | — | 61 | 3 | no | — |
| 383 | #532 | — | 61 | 3 | no | — |
| 384 | C2×#124 | — | 61 | 3 | no | — |
| 385 | C4×#41 | C2×D61 | 1 | 1 | yes | characteristic, complemented |
| 386 | #456 | — | 61 | 12 | no | — |
| 387 | #455 | — | 61 | 12 | no | — |
| 388 | #455 | — | 61 | 24 | no | — |
| 389 | #454 | — | 61 | 4 | no | — |
| 390 | #453 | — | 61 | 12 | no | — |
| 391 | #421 | — | 61 | 6 | no | — |
| 392 | #421 | C2×D61 | 1 | 6 | yes | complemented |
| 393 | C2×#104 | — | 61 | 6 | no | — |
| 394 | C2×#104 | C2×D61 | 1 | 6 | yes | complemented |
| 395 | #413 | — | 61 | 6 | no | — |
| 396 | C2×#100 | — | 61 | 6 | no | — |
| 397 | C61 | #60389 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 398 | 2−1+4 | — | 2 | 1 | no | — |
| 399 | 2−1+4 | — | 61 | 4 | no | — |
| 400 | 2−1+4 | — | 61 | 4 | no | — |
| 401 | 2−1+4 | — | 122 | 8 | no | — |
| 402 | 2−1+4 | — | 122 | 6 | no | — |
| 403 | 2−1+4 | — | 122 | 6 | no | — |
| 404 | 2−1+4 | — | 122 | 1 | no | — |
| 405 | 2−1+4 | — | 122 | 4 | no | — |
| 406 | 2−1+4 | — | 122 | 4 | no | — |
| 407 | 2−1+4 | D244 | 1 | 4 | yes | complemented |
| 408 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 409 | H(5,𝔽2) | — | 61 | 4 | no | — |
| 410 | H(5,𝔽2) | — | 61 | 12 | no | — |
| 411 | H(5,𝔽2) | — | 122 | 12 | no | — |
| 412 | H(5,𝔽2) | — | 122 | 24 | no | — |
| 413 | H(5,𝔽2) | — | 122 | 12 | no | — |
| 414 | H(5,𝔽2) | — | 122 | 6 | no | — |
| 415 | H(5,𝔽2) | — | 122 | 12 | no | — |
| 416 | H(5,𝔽2) | — | 122 | 8 | no | — |
| 417 | H(5,𝔽2) | — | 122 | 24 | no | — |
| 418 | H(5,𝔽2) | — | 122 | 12 | no | — |
| 419 | H(5,𝔽2) | — | 122 | 4 | no | — |
| 420 | H(5,𝔽2) | — | 122 | 4 | no | — |
| 421 | H(5,𝔽2) | — | 122 | 6 | no | — |
| 422 | H(5,𝔽2) | — | 122 | 3 | no | — |
| 423 | H(5,𝔽2) | D244 | 1 | 4 | yes | complemented |
| 424 | C2×#41 | — | 2 | 4 | no | — |
| 425 | C2×#41 | — | 61 | 2 | no | — |
| 426 | C2×#41 | — | 61 | 3 | no | — |
| 427 | C2×#41 | — | 61 | 6 | no | — |
| 428 | C2×#41 | — | 61 | 3 | no | — |
| 429 | C2×#41 | — | 122 | 6 | no | — |
| 430 | C2×#41 | — | 122 | 12 | no | — |
| 431 | C2×#41 | — | 122 | 12 | no | — |
| 432 | C2×#41 | — | 122 | 8 | no | — |
| 433 | C2×#41 | — | 122 | 8 | no | — |
| 434 | C2×#41 | — | 122 | 24 | no | — |
| 435 | C2×#41 | — | 122 | 12 | no | — |
| 436 | C2×#41 | — | 122 | 4 | no | — |
| 437 | C2×#41 | — | 122 | 6 | no | — |
| 438 | C2×#41 | — | 122 | 3 | no | — |
| 439 | C2×#41 | C22×D61 | 1 | 6 | yes | — |
| 440 | C2×#41 | C22×D61 | 1 | 1 | yes | characteristic |
| 441 | C22×Q8 | — | 61 | 3 | no | — |
| 442 | C22×Q8 | — | 122 | 1 | no | — |
| 443 | C22×D4 | — | 61 | 6 | no | — |
| 444 | C22×D4 | — | 61 | 3 | no | — |
| 445 | C22×D4 | — | 122 | 6 | no | — |
| 446 | C22×D4 | — | 122 | 12 | no | — |
| 447 | C22×D4 | — | 122 | 24 | no | — |
| 448 | C22×D4 | — | 122 | 6 | no | — |
| 449 | #137 | — | 61 | 12 | no | — |
| 450 | #137 | — | 61 | 12 | no | — |
| 451 | #137 | — | 122 | 6 | no | — |
| 452 | #137 | — | 122 | 12 | no | — |
| 453 | #137 | — | 122 | 12 | no | — |
| 454 | #137 | — | 122 | 6 | no | — |
| 455 | AGL(1,ℤ/8) | — | 61 | 4 | no | — |
| 456 | AGL(1,ℤ/8) | — | 61 | 4 | no | — |
| 457 | AGL(1,ℤ/8) | — | 122 | 6 | no | — |
| 458 | AGL(1,ℤ/8) | — | 122 | 6 | no | — |
| 459 | #135 | — | 122 | 12 | no | — |
| 460 | #135 | — | 122 | 12 | no | — |
| 461 | C2×Q16 | — | 122 | 6 | no | — |
| 462 | C2×Q16 | — | 122 | 6 | no | — |
| 463 | C2×SD16 | — | 122 | 6 | no | — |
| 464 | C2×SD16 | — | 122 | 6 | no | — |
| 465 | #131 | — | 2 | 4 | no | — |
| 466 | #131 | — | 122 | 4 | no | — |
| 467 | C2×M16 | — | 61 | 6 | no | — |
| 468 | C2×M16 | C22×D61 | 1 | 6 | yes | complemented |
| 469 | C4⋊Q8 | — | 61 | 3 | no | — |
| 470 | #127 | — | 61 | 3 | no | — |
| 471 | #124 | — | 61 | 3 | no | — |
| 472 | #124 | — | 61 | 6 | no | — |
| 473 | #124 | — | 61 | 1 | no | — |
| 474 | #124 | — | 122 | 6 | no | — |
| 475 | #123 | — | 122 | 6 | no | — |
| 476 | C22⋊Q8 | — | 122 | 6 | no | — |
| 477 | #121 | — | 122 | 6 | no | — |
| 478 | #121 | — | 122 | 6 | no | — |
| 479 | #120 | — | 122 | 6 | no | — |
| 480 | C4×Q8 | — | 2 | 1 | no | — |
| 481 | C4×D4 | — | 2 | 3 | no | — |
| 482 | C4×D4 | — | 122 | 6 | no | — |
| 483 | #117 | C22×D61 | 1 | 3 | yes | complemented |
| 484 | C2×C22⋊C4 | — | 122 | 6 | no | — |
| 485 | C2×C42 | C22×D61 | 1 | 3 | yes | complemented |
| 486 | #104 | — | 61 | 4 | no | — |
| 487 | #104 | — | 61 | 12 | no | — |
| 488 | #104 | C22×D61 | 1 | 4 | yes | complemented |
| 489 | #104 | C22×D61 | 1 | 12 | yes | complemented |
| 490 | #101 | — | 61 | 4 | no | — |
| 491 | #100 | — | 61 | 12 | no | — |
| 492 | C24 | — | 61 | 6 | no | — |
| 493 | C24 | — | 122 | 12 | no | — |
| 494 | #41 | — | 2 | 4 | no | — |
| 495 | #41 | — | 2 | 12 | no | — |
| 496 | #41 | — | 2 | 6 | no | — |
| 497 | #41 | — | 2 | 6 | no | — |
| 498 | #41 | — | 61 | 12 | no | — |
| 499 | #41 | — | 61 | 4 | no | — |
| 500 | #41 | — | 122 | 4 | no | — |
| 501 | #41 | — | 122 | 12 | no | — |
| 502 | #41 | — | 122 | 24 | no | — |
| 503 | #41 | — | 122 | 24 | no | — |
| 504 | #41 | — | 122 | 24 | no | — |
| 505 | #41 | — | 122 | 8 | no | — |
| 506 | #41 | — | 122 | 24 | no | — |
| 507 | #41 | — | 122 | 12 | no | — |
| 508 | #41 | — | 122 | 12 | no | — |
| 509 | #41 | — | 122 | 24 | no | — |
| 510 | #41 | — | 122 | 12 | no | — |
| 511 | #41 | — | 122 | 8 | no | — |
| 512 | #41 | — | 122 | 4 | no | — |
| 513 | #41 | — | 122 | 4 | no | — |
| 514 | #41 | — | 122 | 12 | no | — |
| 515 | #41 | — | 122 | 6 | no | — |
| 516 | #41 | — | 122 | 6 | no | — |
| 517 | #41 | — | 122 | 6 | no | — |
| 518 | #41 | — | 122 | 6 | no | — |
| 519 | #41 | — | 122 | 6 | no | — |
| 520 | #41 | — | 122 | 6 | no | — |
| 521 | #41 | — | 244 | 12 | no | — |
| 522 | #41 | C2×D244 | 1 | 12 | yes | — |
| 523 | #41 | C2×D244 | 1 | 4 | yes | — |
| 524 | #41 | D4×D61 | 1 | 4 | yes | — |
| 525 | #41 | C23×D61 | 1 | 4 | yes | — |
| 526 | C2×Q8 | — | 2 | 4 | no | — |
| 527 | C2×Q8 | — | 61 | 1 | no | — |
| 528 | C2×Q8 | — | 61 | 6 | no | — |
| 529 | C2×Q8 | — | 61 | 3 | no | — |
| 530 | C2×Q8 | — | 122 | 4 | no | — |
| 531 | C2×Q8 | — | 122 | 12 | no | — |
| 532 | C2×Q8 | — | 122 | 4 | no | — |
| 533 | C2×Q8 | — | 122 | 4 | no | — |
| 534 | C2×Q8 | — | 122 | 3 | no | — |
| 535 | C2×Q8 | — | 122 | 6 | no | — |
| 536 | C2×Q8 | — | 122 | 6 | no | — |
| 537 | C2×Q8 | — | 244 | 4 | no | — |
| 538 | C2×Q8 | C2×D244 | 1 | 6 | yes | — |
| 539 | C2×Q8 | D4×D61 | 1 | 1 | yes | characteristic |
| 540 | C2×D4 | — | 2 | 6 | no | — |
| 541 | C2×D4 | — | 2 | 12 | no | — |
| 542 | C2×D4 | — | 61 | 6 | no | — |
| 543 | C2×D4 | — | 61 | 6 | no | — |
| 544 | C2×D4 | — | 61 | 6 | no | — |
| 545 | C2×D4 | — | 61 | 3 | no | — |
| 546 | C2×D4 | — | 61 | 1 | no | — |
| 547 | C2×D4 | — | 122 | 12 | no | — |
| 548 | C2×D4 | — | 122 | 12 | no | — |
| 549 | C2×D4 | — | 122 | 24 | no | — |
| 550 | C2×D4 | — | 122 | 6 | no | — |
| 551 | C2×D4 | — | 122 | 24 | no | — |
| 552 | C2×D4 | — | 122 | 24 | no | — |
| 553 | C2×D4 | — | 122 | 48 | no | — |
| 554 | C2×D4 | — | 122 | 12 | no | — |
| 555 | C2×D4 | — | 122 | 24 | no | — |
| 556 | C2×D4 | — | 122 | 24 | no | — |
| 557 | C2×D4 | — | 122 | 12 | no | — |
| 558 | C2×D4 | — | 122 | 6 | no | — |
| 559 | C2×D4 | — | 122 | 12 | no | — |
| 560 | C2×D4 | — | 122 | 24 | no | — |
| 561 | C2×D4 | — | 122 | 12 | no | — |
| 562 | C2×D4 | — | 122 | 3 | no | — |
| 563 | C2×D4 | — | 122 | 6 | no | — |
| 564 | C2×D4 | — | 122 | 6 | no | — |
| 565 | C2×D4 | C2×D244 | 1 | 6 | yes | — |
| 566 | C2×D4 | D4×D61 | 1 | 3 | yes | — |
| 567 | C22×C4 | — | 2 | 6 | no | — |
| 568 | C22×C4 | — | 2 | 3 | no | — |
| 569 | C22×C4 | — | 61 | 6 | no | — |
| 570 | C22×C4 | — | 122 | 12 | no | — |
| 571 | C22×C4 | — | 122 | 24 | no | — |
| 572 | C22×C4 | — | 122 | 6 | no | — |
| 573 | C22×C4 | — | 122 | 3 | no | — |
| 574 | C22×C4 | — | 122 | 3 | no | — |
| 575 | C22×C4 | C23×D61 | 1 | 3 | yes | — |
| 576 | Q16 | — | 122 | 12 | no | — |
| 577 | Q16 | — | 122 | 12 | no | — |
| 578 | SD16 | — | 122 | 12 | no | — |
| 579 | SD16 | — | 122 | 4 | no | — |
| 580 | SD16 | — | 122 | 4 | no | — |
| 581 | SD16 | — | 122 | 12 | no | — |
| 582 | D8 | — | 122 | 4 | no | — |
| 583 | D8 | — | 122 | 4 | no | — |
| 584 | M16 | — | 2 | 6 | no | — |
| 585 | M16 | — | 61 | 4 | no | — |
| 586 | M16 | — | 122 | 6 | no | — |
| 587 | M16 | C23×D61 | 1 | 4 | yes | — |
| 588 | C2×C8 | — | 2 | 6 | no | — |
| 589 | C2×C8 | — | 122 | 6 | no | — |
| 590 | C4⋊C4 | — | 2 | 3 | no | — |
| 591 | C4⋊C4 | — | 122 | 6 | no | — |
| 592 | C22⋊C4 | — | 2 | 3 | no | — |
| 593 | C22⋊C4 | — | 122 | 2 | no | — |
| 594 | C22⋊C4 | — | 122 | 6 | no | — |
| 595 | C22⋊C4 | — | 122 | 12 | no | — |
| 596 | C42 | — | 2 | 3 | no | — |
| 597 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 598 | C42 | C23×D61 | 1 | 3 | yes | — |
| 599 | C23 | — | 2 | 6 | no | — |
| 600 | C23 | — | 61 | 6 | no | — |
| 601 | C23 | — | 122 | 24 | no | — |
| 602 | C23 | — | 122 | 6 | no | — |
| 603 | C23 | — | 122 | 12 | no | — |
| 604 | C23 | — | 122 | 1 | no | — |
| 605 | C23 | — | 976 | 12 | no | — |
| 606 | C23 | — | 488 | 6 | no | — |
| 607 | C23 | C2×D4×D61 | 1 | 3 | yes | — |
| 608 | Q8 | — | 2 | 6 | no | — |
| 609 | Q8 | — | 61 | 4 | no | — |
| 610 | Q8 | — | 122 | 8 | no | — |
| 611 | Q8 | — | 122 | 6 | no | — |
| 612 | Q8 | — | 122 | 1 | no | — |
| 613 | Q8 | — | 122 | 1 | no | — |
| 614 | Q8 | — | 122 | 3 | no | — |
| 615 | Q8 | — | 122 | 3 | no | — |
| 616 | Q8 | — | 244 | 6 | no | — |
| 617 | Q8 | #14519747 | 1 | 4 | yes | — |
| 618 | Q8 | C22×D244 | 1 | 4 | yes | — |
| 619 | D4 | — | 2 | 12 | no | — |
| 620 | D4 | — | 2 | 4 | no | — |
| 621 | D4 | — | 2 | 6 | no | — |
| 622 | D4 | — | 61 | 4 | no | — |
| 623 | D4 | — | 122 | 24 | no | — |
| 624 | D4 | — | 122 | 8 | no | — |
| 625 | D4 | — | 122 | 24 | no | — |
| 626 | D4 | — | 122 | 12 | no | — |
| 627 | D4 | — | 122 | 12 | no | — |
| 628 | D4 | — | 122 | 4 | no | — |
| 629 | D4 | — | 122 | 6 | no | — |
| 630 | D4 | — | 122 | 12 | no | — |
| 631 | D4 | — | 122 | 3 | no | — |
| 632 | D4 | — | 122 | 1 | no | — |
| 633 | D4 | — | 122 | 3 | no | — |
| 634 | D4 | — | 122 | 1 | no | — |
| 635 | D4 | — | 488 | 6 | no | — |
| 636 | D4 | — | 244 | 6 | no | — |
| 637 | D4 | #14519747 | 1 | 12 | yes | — |
| 638 | D4 | C22×D244 | 1 | 4 | yes | — |
| 639 | C2×C4 | — | 2 | 6 | no | — |
| 640 | C2×C4 | — | 2 | 12 | no | — |
| 641 | C2×C4 | — | 2 | 4 | no | — |
| 642 | C2×C4 | — | 2 | 1 | no | — |
| 643 | C2×C4 | — | 2 | 3 | no | — |
| 644 | C2×C4 | — | 8 | 3 | no | — |
| 645 | C2×C4 | — | 61 | 2 | no | — |
| 646 | C2×C4 | — | 122 | 8 | no | — |
| 647 | C2×C4 | — | 122 | 24 | no | — |
| 648 | C2×C4 | — | 122 | 8 | no | — |
| 649 | C2×C4 | — | 122 | 6 | no | — |
| 650 | C2×C4 | — | 122 | 12 | no | — |
| 651 | C2×C4 | — | 122 | 12 | no | — |
| 652 | C2×C4 | — | 122 | 4 | no | — |
| 653 | C2×C4 | — | 122 | 3 | no | — |
| 654 | C2×C4 | — | 244 | 6 | no | — |
| 655 | C2×C4 | — | 244 | 6 | no | — |
| 656 | C2×C4 | C2×D4×D61 | 1 | 3 | yes | — |
| 657 | C2×C4 | C2×D4×D61 | 1 | 6 | yes | — |
| 658 | C2×C4 | C22×D244 | 1 | 6 | yes | — |
| 659 | C2×C4 | C24×D61 | 1 | 1 | yes | characteristic |
| 660 | C8 | — | 2 | 4 | no | — |
| 661 | C8 | — | 122 | 4 | no | — |
| 662 | C22 | — | 2 | 4 | no | — |
| 663 | C22 | — | 4 | 3 | no | — |
| 664 | C22 | — | 8 | 6 | no | — |
| 665 | C22 | — | 122 | 4 | no | — |
| 666 | C22 | — | 122 | 6 | no | — |
| 667 | C22 | — | 488 | 6 | no | — |
| 668 | C22 | — | 488 | 12 | no | — |
| 669 | C22 | — | 488 | 24 | no | — |
| 670 | C22 | — | 244 | 2 | no | — |
| 671 | C22 | — | 244 | 6 | no | — |
| 672 | C22 | — | 244 | 1 | no | — |
| 673 | C22 | C2×#14519747 | 1 | 6 | yes | — |
| 674 | C22 | C22×D4×D61 | 1 | 1 | yes | characteristic |
| 675 | C4 | — | 2 | 4 | no | — |
| 676 | C4 | — | 4 | 1 | no | — |
| 677 | C4 | — | 4 | 3 | no | — |
| 678 | C4 | — | 122 | 2 | no | — |
| 679 | C4 | — | 122 | 4 | no | — |
| 680 | C4 | — | 244 | 3 | no | — |
| 681 | C4 | C2×#14519747 | 1 | 6 | yes | — |
| 682 | C4 | C22×D4×D61 | 1 | 1 | yes | characteristic |
| 683 | C4 | C23×D244 | 1 | 1 | yes | characteristic |
| 684 | C2 | — | 2 | 1 | no | — |
| 685 | C2 | — | 2 | 6 | no | — |
| 686 | C2 | — | 4 | 4 | no | — |
| 687 | C2 | — | 488 | 1 | no | — |
| 688 | C2 | — | 244 | 4 | no | — |
| 689 | C2 | — | 244 | 6 | no | — |
| 690 | C2 | C22×#14519747 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #21460630 | C2 | semidirect |
| 2. #21460607 | C2 | semidirect |
| 3. #21460605 | C2 | semidirect |
| 4. #21459612 | C2 | semidirect |
| 5. #21455199 | C2 | semidirect |
| 6. #21455178 | C2 | semidirect |
| 7. #21455170 | C2 | semidirect |
| 8. C2×#16839941 | C2 | semidirect |
| 9. #21454367 | C2 | semidirect |
| 10. #21454297 | C2 | semidirect |
| 11. C61×#2901 | C2 | semidirect |
| 17. C2×#14519824 | C22 | semidirect |
| 27. #16840562 | C22 | semidirect |
| 28. #16840560 | C22 | semidirect |
| 29. C2×#14519810 | C22 | semidirect |
| 30. C2×#14519807 | C22 | semidirect |
| 31. #16840529 | C22 | semidirect |
| 34. #16840338 | C22 | semidirect |
| 35. #16840331 | C22 | semidirect |
| 36. #16840312 | C22 | semidirect |
| 37. C2×#14519765 | C22 | semidirect |
| 38. #16839946 | C22 | semidirect |
| 39. #16839941 | C22 | semidirect |
| 40. #16839941 | C22 | semidirect |
| 41. #16839936 | C22 | semidirect |
| 42. #16839931 | C22 | semidirect |
| 43. #16839780 | C22 | semidirect |
| 44. C2×#14519705 | C22 | semidirect |
| 45. #16839744 | C22 | semidirect |
| 46. C2×#14519693 | C22 | semidirect |
| 48. C61×#568 | C22 | semidirect |
| 49. C4×#41×C61 | C22 | semidirect |
| 50. C61×#421 | C22 | semidirect |
| 51. C2×#104×C61 | C22 | semidirect |
| 58. #14519824 | D4 | semidirect |
| 68. #14519823 | D4 | semidirect |
| 81. C2×#11758222 | C23 | semidirect |
| 88. C22×Dic122 | C23 | semidirect |
| 98. #14519810 | C23 | semidirect |
| 101. #14519807 | C23 | semidirect |
| 103. #14519805 | C23 | semidirect |
| 105. #14519802 | C23 | semidirect |
| 113. C2×#11758194 | C23 | semidirect |
| 114. #14519777 | C23 | semidirect |
| 115. #14519774 | C23 | semidirect |
| 117. #14519765 | C23 | semidirect |
| 118. #14519765 | C23 | semidirect |
| 119. #14519765 | C23 | semidirect |
| 127. #14519705 | C23 | semidirect |
| 128. #14519705 | C23 | semidirect |
| 129. #14519695 | C23 | semidirect |
| 130. #14519693 | C23 | semidirect |
| 132. 2−1+4×C61 | D4 | semidirect |
| 134. H(5,𝔽2)×C61 | D4 | semidirect |
| 139. C2×M16×C61 | C23 | semidirect |
| 142. #117×C61 | C23 | semidirect |
| 143. C2×C42×C61 | C23 | semidirect |
| 144. #104×C61 | C23 | semidirect |
| 145. #104×C61 | C23 | semidirect |
| 348. #2901 | D61 | semidirect |
| 378. #568 | C2×D61 | semidirect |
| 385. C4×#41 | C2×D61 | semidirect |
| 392. #421 | C2×D61 | semidirect |
| 394. C2×#104 | C2×D61 | semidirect |
| 397. C61 | #60389 | semidirect |
| 407. 2−1+4 | D244 | semidirect |
| 423. H(5,𝔽2) | D244 | semidirect |
| 468. C2×M16 | C22×D61 | semidirect |
| 483. #117 | C22×D61 | semidirect |
| 485. C2×C42 | C22×D61 | semidirect |
| 488. #104 | C22×D61 | semidirect |
| 489. #104 | C22×D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460630 | 2 |
| #21460607 | 2 |
| #21460605 | 2 |
| #21459612 | 2 |
| #21455199 | 2 |
| #21455178 | 2 |
| #21455170 | 2 |
| C2×#16839941 | 2 |
| #21454367 | 2 |
| #21454297 | 2 |
| C61×#2901 | 2 |
| #60389 | 61 |