Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1072 conjugacy classes of subgroups.
The subgroup lattice has 400 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617749 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10614240 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610238 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10605160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#1759 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601152 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10600669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10600234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10599551 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | C4×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 11 | #66164 | C22 | 1 | 2 | yes | — |
| 12 | #65919 | — | 2 | 2 | no | — |
| 13 | #65887 | — | 2 | 2 | no | — |
| 14 | #65884 | — | 2 | 4 | no | — |
| 15 | #65869 | — | 2 | 2 | no | — |
| 16 | #65855 | C22 | 1 | 2 | yes | — |
| 17 | #65811 | — | 2 | 2 | no | — |
| 18 | C2×#4020 | C22 | 1 | 1 | yes | characteristic |
| 19 | #65804 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#4016 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C5×#104 | C22 | 1 | 2 | yes | — |
| 22 | C4×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 23 | C5×#376 | C22 | 1 | 1 | yes | characteristic |
| 24 | #65521 | C22 | 1 | 2 | yes | — |
| 25 | C2×#3955 | C22 | 1 | 4 | yes | — |
| 26 | #65410 | C22 | 1 | 4 | yes | — |
| 27 | #65311 | — | 2 | 2 | no | — |
| 28 | #65298 | — | 2 | 2 | no | — |
| 29 | #65284 | C22 | 1 | 2 | yes | — |
| 30 | #65228 | C22 | 1 | 4 | yes | — |
| 31 | #65213 | C22 | 1 | 1 | yes | characteristic |
| 32 | #64991 | — | 2 | 2 | no | — |
| 33 | #64972 | — | 2 | 2 | no | — |
| 34 | #64961 | — | 2 | 4 | no | — |
| 35 | C5×#339 | C22 | 1 | 2 | yes | — |
| 36 | #64743 | C22 | 1 | 4 | yes | — |
| 37 | #25690 | — | 5 | 1 | no | maximal, Sylow |
| 38 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 39 | C2×#709 | — | 2 | 4 | no | — |
| 40 | C22×D20 | D4 | 1 | 4 | yes | — |
| 41 | C22×D20 | C23 | 1 | 2 | yes | — |
| 42 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 43 | C4×C5×Q8 | D4 | 1 | 2 | yes | — |
| 44 | C4×C5×D4 | — | 2 | 2 | no | — |
| 45 | C4×C5×D4 | D4 | 1 | 2 | yes | — |
| 46 | C5×#117 | — | 2 | 1 | no | — |
| 47 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 48 | C2×C42×C5 | — | 2 | 1 | no | — |
| 49 | C2×C42×C5 | C23 | 1 | 2 | yes | — |
| 50 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 51 | #4093 | — | 2 | 2 | no | — |
| 52 | #4086 | — | 2 | 2 | no | — |
| 53 | #4083 | — | 2 | 4 | no | — |
| 54 | #4076 | — | 2 | 4 | no | — |
| 55 | #4076 | — | 2 | 4 | no | — |
| 56 | C2×#685 | — | 2 | 8 | no | — |
| 57 | #4072 | C23 | 1 | 2 | yes | — |
| 58 | C2×C4⋊Dic5 | C23 | 1 | 2 | yes | — |
| 59 | #4070 | — | 2 | 2 | no | — |
| 60 | C2×#683 | — | 2 | 2 | no | — |
| 61 | C2×#681 | C23 | 1 | 2 | yes | — |
| 62 | #4040 | — | 2 | 8 | no | — |
| 63 | #4039 | — | 2 | 4 | no | — |
| 64 | #4030 | — | 2 | 8 | no | — |
| 65 | D5×C22⋊C4 | — | 2 | 4 | no | — |
| 66 | #4021 | — | 2 | 4 | no | — |
| 67 | #4020 | — | 2 | 1 | no | — |
| 68 | #4020 | — | 2 | 1 | no | — |
| 69 | #4020 | — | 2 | 2 | no | — |
| 70 | C4×D20 | — | 2 | 4 | no | — |
| 71 | C4×D20 | — | 2 | 4 | no | — |
| 72 | #4016 | — | 2 | 2 | no | — |
| 73 | #4016 | — | 2 | 1 | no | — |
| 74 | #4016 | — | 2 | 1 | no | — |
| 75 | #4016 | D4 | 1 | 2 | yes | — |
| 76 | #4015 | D4 | 1 | 2 | yes | — |
| 77 | C4×Dic10 | — | 2 | 2 | no | — |
| 78 | C5×#104 | — | 2 | 4 | no | — |
| 79 | C5×#97 | — | 2 | 1 | no | — |
| 80 | C4×C5×C8 | — | 2 | 1 | no | — |
| 81 | C5×#95 | — | 2 | 2 | no | — |
| 82 | #3967 | — | 2 | 2 | no | — |
| 83 | #3964 | — | 2 | 2 | no | — |
| 84 | #3955 | — | 2 | 8 | no | — |
| 85 | #3950 | — | 2 | 4 | no | — |
| 86 | #3949 | — | 2 | 4 | no | — |
| 87 | #3940 | — | 2 | 2 | no | — |
| 88 | #3939 | — | 2 | 2 | no | — |
| 89 | C4⋊#168 | — | 2 | 2 | no | — |
| 90 | #3508 | — | 5 | 1 | no | — |
| 91 | #3166 | — | 5 | 1 | no | — |
| 92 | #3080 | — | 5 | 1 | no | — |
| 93 | #2641 | — | 5 | 1 | no | — |
| 94 | #2037 | — | 5 | 4 | no | — |
| 95 | #1995 | — | 5 | 1 | no | — |
| 96 | #1965 | — | 5 | 1 | no | — |
| 97 | #1856 | — | 5 | 4 | no | — |
| 98 | #1759 | D5 | 1 | 1 | yes | characteristic, complemented |
| 99 | C23×D5 | C2×D4 | 1 | 4 | yes | — |
| 100 | C5×#41 | — | 2 | 2 | no | — |
| 101 | C5×#41 | — | 2 | 2 | no | — |
| 102 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C2×C5×D4 | — | 2 | 1 | no | — |
| 104 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C22×C4×C5 | — | 2 | 2 | no | — |
| 106 | C22×C4×C5 | — | 2 | 1 | no | — |
| 107 | C22×C4×C5 | — | 2 | 2 | no | — |
| 108 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 109 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 110 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 111 | C22×Dic5 | — | 2 | 2 | no | — |
| 112 | #709 | — | 8 | 8 | no | — |
| 113 | C2×D20 | — | 2 | 4 | no | — |
| 114 | C2×D20 | — | 2 | 2 | no | — |
| 115 | C2×D20 | — | 2 | 2 | no | — |
| 116 | C2×D20 | — | 2 | 4 | no | — |
| 117 | C2×D20 | — | 2 | 4 | no | — |
| 118 | C2×D20 | — | 2 | 4 | no | — |
| 119 | C2×D20 | — | 8 | 4 | no | — |
| 120 | C2×C4×D5 | — | 2 | 8 | no | — |
| 121 | C2×Dic10 | — | 2 | 2 | no | — |
| 122 | C5×M16 | — | 2 | 2 | no | — |
| 123 | C5×M16 | #41 | 1 | 4 | yes | complemented |
| 124 | C2×C5×C8 | — | 2 | 2 | no | — |
| 125 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 126 | C5×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 127 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 128 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 129 | C42×C5 | — | 2 | 2 | no | — |
| 130 | C42×C5 | — | 2 | 1 | no | — |
| 131 | C42×C5 | — | 2 | 2 | no | — |
| 132 | C42×C5 | — | 2 | 2 | no | — |
| 133 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 134 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 137 | #685 | — | 2 | 8 | no | — |
| 138 | #685 | — | 2 | 8 | no | — |
| 139 | #685 | — | 8 | 8 | no | — |
| 140 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 141 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 142 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 143 | C4⋊Dic5 | C2×D4 | 1 | 4 | yes | — |
| 144 | #683 | — | 2 | 4 | no | — |
| 145 | #683 | — | 4 | 2 | no | — |
| 146 | #683 | — | 4 | 2 | no | — |
| 147 | C4×Dic5 | — | 2 | 2 | no | — |
| 148 | #681 | — | 2 | 4 | no | — |
| 149 | C2×#168 | — | 2 | 2 | no | — |
| 150 | #559 | — | 10 | 2 | no | — |
| 151 | #550 | — | 10 | 2 | no | — |
| 152 | #546 | — | 10 | 4 | no | — |
| 153 | #540 | — | 10 | 2 | no | — |
| 154 | #535 | — | 5 | 2 | no | — |
| 155 | #533 | — | 5 | 1 | no | — |
| 156 | #532 | — | 10 | 2 | no | — |
| 157 | C2×#127 | — | 5 | 1 | no | — |
| 158 | C2×#125 | — | 5 | 1 | no | — |
| 159 | #518 | — | 5 | 2 | no | — |
| 160 | C4×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 161 | #501 | — | 10 | 2 | no | — |
| 162 | #499 | — | 10 | 2 | no | — |
| 163 | #479 | — | 10 | 2 | no | — |
| 164 | #478 | — | 10 | 2 | no | — |
| 165 | #428 | — | 5 | 4 | no | — |
| 166 | #428 | — | 5 | 2 | no | — |
| 167 | #423 | — | 5 | 1 | no | — |
| 168 | C2×#104 | C2×D5 | 1 | 2 | yes | — |
| 169 | #417 | — | 5 | 2 | no | — |
| 170 | C2×#100 | — | 5 | 4 | no | — |
| 171 | C4×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 172 | #394 | — | 10 | 4 | no | — |
| 173 | #390 | — | 5 | 4 | no | — |
| 174 | #376 | C2×D5 | 1 | 1 | yes | characteristic |
| 175 | #339 | — | 5 | 4 | no | — |
| 176 | #339 | C2×D5 | 1 | 2 | yes | — |
| 177 | C23×C5 | — | 2 | 1 | no | — |
| 178 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 179 | C22×D5 | — | 2 | 4 | no | — |
| 180 | C22×D5 | — | 2 | 8 | no | — |
| 181 | C22×D5 | — | 4 | 8 | no | — |
| 182 | C5×Q8 | — | 2 | 1 | no | — |
| 183 | C5×Q8 | — | 2 | 1 | no | — |
| 184 | C5×D4 | — | 2 | 1 | no | — |
| 185 | C5×D4 | — | 2 | 1 | no | — |
| 186 | C5×D4 | — | 4 | 2 | no | — |
| 187 | C2×C4×C5 | — | 2 | 1 | no | — |
| 188 | C2×C4×C5 | — | 2 | 2 | no | — |
| 189 | C2×C4×C5 | — | 4 | 2 | no | — |
| 190 | C2×C4×C5 | — | 4 | 4 | no | — |
| 191 | C2×C4×C5 | — | 4 | 2 | no | — |
| 192 | C2×C4×C5 | — | 4 | 4 | no | — |
| 193 | C2×C4×C5 | — | 4 | 2 | no | — |
| 194 | C2×C4×C5 | #120 | 1 | 2 | yes | — |
| 195 | C2×C4×C5 | #120 | 1 | 2 | yes | — |
| 196 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×C4×C5 | C2×#41 | 1 | 2 | yes | — |
| 199 | C2×C4×C5 | 2−1+4 | 1 | 2 | yes | — |
| 200 | C22⋊D5 | — | 8 | 8 | no | — |
| 201 | C2×Dic5 | — | 2 | 4 | no | — |
| 202 | C2×Dic5 | — | 4 | 4 | no | — |
| 203 | C2×Dic5 | — | 4 | 2 | no | — |
| 204 | D20 | — | 4 | 8 | no | — |
| 205 | D20 | — | 4 | 2 | no | — |
| 206 | D20 | — | 4 | 2 | no | — |
| 207 | D20 | — | 4 | 4 | no | — |
| 208 | D20 | — | 8 | 4 | no | — |
| 209 | C4×D5 | — | 8 | 8 | no | — |
| 210 | Dic10 | — | 4 | 4 | no | — |
| 211 | C5×C8 | — | 2 | 4 | no | — |
| 212 | #168 | — | 4 | 2 | no | — |
| 213 | C2×#41 | — | 10 | 4 | no | — |
| 214 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 215 | C22×D4 | — | 5 | 4 | no | — |
| 216 | C22×D4 | — | 5 | 2 | no | — |
| 217 | C2×M16 | — | 5 | 2 | no | — |
| 218 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 219 | C4⋊Q8 | — | 5 | 2 | no | — |
| 220 | #127 | — | 10 | 2 | no | — |
| 221 | #127 | — | 10 | 2 | no | — |
| 222 | #127 | — | 10 | 1 | no | — |
| 223 | #127 | — | 10 | 1 | no | — |
| 224 | #125 | — | 5 | 2 | no | — |
| 225 | #125 | — | 10 | 2 | no | — |
| 226 | #125 | — | 10 | 1 | no | — |
| 227 | #125 | — | 10 | 1 | no | — |
| 228 | #124 | — | 10 | 4 | no | — |
| 229 | #124 | — | 10 | 2 | no | — |
| 230 | #123 | — | 10 | 8 | no | — |
| 231 | C22⋊Q8 | — | 10 | 2 | no | — |
| 232 | #121 | — | 10 | 8 | no | — |
| 233 | #121 | — | 10 | 4 | no | — |
| 234 | #121 | — | 10 | 4 | no | — |
| 235 | #120 | — | 10 | 4 | no | — |
| 236 | C4×Q8 | — | 10 | 2 | no | — |
| 237 | C4×Q8 | D20 | 1 | 2 | yes | — |
| 238 | C4×D4 | — | 2 | 2 | no | — |
| 239 | C4×D4 | — | 10 | 4 | no | — |
| 240 | C4×D4 | — | 10 | 4 | no | — |
| 241 | C4×D4 | — | 10 | 4 | no | — |
| 242 | C4×D4 | D20 | 1 | 2 | yes | — |
| 243 | #117 | — | 2 | 1 | no | — |
| 244 | #117 | — | 5 | 2 | no | — |
| 245 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 246 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 247 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 248 | C2×C22⋊C4 | — | 10 | 4 | no | — |
| 249 | C2×C22⋊C4 | — | 10 | 8 | no | — |
| 250 | C2×C42 | — | 2 | 1 | no | — |
| 251 | C2×C42 | C22×D5 | 1 | 2 | yes | — |
| 252 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 253 | #107 | — | 10 | 4 | no | — |
| 254 | #107 | — | 10 | 2 | no | — |
| 255 | #106 | — | 10 | 4 | no | — |
| 256 | #106 | — | 10 | 2 | no | — |
| 257 | C4⋊C8 | — | 10 | 2 | no | — |
| 258 | #104 | — | 2 | 4 | no | — |
| 259 | #103 | — | 10 | 2 | no | — |
| 260 | #102 | — | 10 | 2 | no | — |
| 261 | #100 | — | 10 | 8 | no | — |
| 262 | #97 | — | 2 | 1 | no | — |
| 263 | C4×C8 | — | 2 | 1 | no | — |
| 264 | #95 | — | 2 | 2 | no | — |
| 265 | C22×C5 | — | 2 | 2 | no | — |
| 266 | C22×C5 | — | 4 | 1 | no | — |
| 267 | C22×C5 | — | 4 | 2 | no | — |
| 268 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 269 | C22×C5 | #547 | 1 | 2 | yes | — |
| 270 | C2×D5 | — | 4 | 4 | no | — |
| 271 | C2×D5 | — | 4 | 8 | no | — |
| 272 | C2×D5 | — | 8 | 8 | no | — |
| 273 | C4×C5 | — | 2 | 2 | no | — |
| 274 | C4×C5 | — | 2 | 2 | no | — |
| 275 | C4×C5 | — | 4 | 1 | no | — |
| 276 | C4×C5 | — | 4 | 2 | no | — |
| 277 | C4×C5 | — | 8 | 2 | no | — |
| 278 | C4×C5 | #532 | 1 | 1 | yes | characteristic |
| 279 | C4×C5 | #536 | 1 | 1 | yes | characteristic |
| 280 | C4×C5 | #548 | 1 | 2 | yes | — |
| 281 | Dic5 | — | 4 | 4 | no | — |
| 282 | Dic5 | — | 8 | 2 | no | — |
| 283 | C24 | — | 5 | 4 | no | — |
| 284 | #41 | — | 2 | 2 | no | — |
| 285 | #41 | — | 2 | 2 | no | — |
| 286 | #41 | — | 40 | 8 | no | — |
| 287 | C2×Q8 | — | 10 | 2 | no | — |
| 288 | C2×Q8 | C2×D20 | 1 | 1 | yes | characteristic |
| 289 | C2×D4 | — | 2 | 1 | no | — |
| 290 | C2×D4 | — | 10 | 8 | no | — |
| 291 | C2×D4 | — | 10 | 2 | no | — |
| 292 | C2×D4 | — | 10 | 4 | no | — |
| 293 | C2×D4 | — | 10 | 2 | no | — |
| 294 | C2×D4 | — | 10 | 4 | no | — |
| 295 | C2×D4 | — | 10 | 4 | no | — |
| 296 | C2×D4 | — | 10 | 4 | no | — |
| 297 | C2×D4 | — | 40 | 4 | no | — |
| 298 | C2×D4 | C2×D20 | 1 | 1 | yes | characteristic |
| 299 | C22×C4 | — | 2 | 1 | no | — |
| 300 | C22×C4 | — | 2 | 2 | no | — |
| 301 | C22×C4 | — | 2 | 2 | no | — |
| 302 | C22×C4 | — | 10 | 8 | no | — |
| 303 | C22×C4 | — | 10 | 2 | no | — |
| 304 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 305 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 306 | M16 | — | 2 | 2 | no | — |
| 307 | M16 | — | 10 | 4 | no | — |
| 308 | M16 | #709 | 1 | 4 | yes | complemented |
| 309 | C2×C8 | — | 2 | 2 | no | — |
| 310 | C2×C8 | — | 10 | 2 | no | — |
| 311 | C4⋊C4 | — | 2 | 2 | no | — |
| 312 | C4⋊C4 | — | 5 | 4 | no | — |
| 313 | C4⋊C4 | — | 10 | 2 | no | — |
| 314 | C4⋊C4 | — | 10 | 4 | no | — |
| 315 | C4⋊C4 | — | 10 | 2 | no | — |
| 316 | C4⋊C4 | — | 10 | 2 | no | — |
| 317 | C4⋊C4 | — | 20 | 2 | no | — |
| 318 | C4⋊C4 | — | 20 | 2 | no | — |
| 319 | C4⋊C4 | C2×D20 | 1 | 2 | yes | — |
| 320 | C22⋊C4 | — | 2 | 1 | no | — |
| 321 | C22⋊C4 | — | 2 | 2 | no | — |
| 322 | C22⋊C4 | — | 10 | 8 | no | — |
| 323 | C22⋊C4 | — | 10 | 8 | no | — |
| 324 | C22⋊C4 | — | 10 | 2 | no | — |
| 325 | C22⋊C4 | — | 40 | 8 | no | — |
| 326 | C42 | — | 2 | 1 | no | — |
| 327 | C42 | — | 2 | 2 | no | — |
| 328 | C42 | — | 2 | 2 | no | — |
| 329 | C42 | — | 2 | 2 | no | — |
| 330 | C42 | — | 10 | 2 | no | — |
| 331 | C42 | C2×D20 | 1 | 2 | yes | — |
| 332 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 333 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 334 | C2×C5 | — | 2 | 2 | no | — |
| 335 | C2×C5 | — | 8 | 1 | no | — |
| 336 | C2×C5 | #2432 | 1 | 1 | yes | characteristic |
| 337 | C2×C5 | #3019 | 1 | 2 | yes | — |
| 338 | D5 | — | 8 | 4 | no | — |
| 339 | C23 | — | 2 | 1 | no | — |
| 340 | C23 | — | 10 | 4 | no | — |
| 341 | C23 | — | 10 | 8 | no | — |
| 342 | C23 | — | 20 | 8 | no | — |
| 343 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 344 | Q8 | — | 2 | 1 | no | — |
| 345 | Q8 | — | 2 | 1 | no | — |
| 346 | Q8 | — | 20 | 4 | no | — |
| 347 | D4 | — | 2 | 1 | no | — |
| 348 | D4 | — | 2 | 1 | no | — |
| 349 | D4 | — | 4 | 2 | no | — |
| 350 | D4 | — | 20 | 8 | no | — |
| 351 | D4 | — | 20 | 2 | no | — |
| 352 | D4 | — | 20 | 2 | no | — |
| 353 | D4 | — | 20 | 4 | no | — |
| 354 | D4 | — | 40 | 4 | no | — |
| 355 | D4 | — | 40 | 8 | no | — |
| 356 | C2×C4 | — | 2 | 2 | no | — |
| 357 | C2×C4 | — | 2 | 1 | no | — |
| 358 | C2×C4 | — | 4 | 2 | no | — |
| 359 | C2×C4 | — | 4 | 4 | no | — |
| 360 | C2×C4 | — | 4 | 2 | no | — |
| 361 | C2×C4 | — | 4 | 4 | no | — |
| 362 | C2×C4 | — | 4 | 2 | no | — |
| 363 | C2×C4 | — | 10 | 4 | no | — |
| 364 | C2×C4 | — | 20 | 4 | no | — |
| 365 | C2×C4 | — | 20 | 2 | no | — |
| 366 | C2×C4 | — | 40 | 8 | no | — |
| 367 | C2×C4 | #4028 | 1 | 2 | yes | — |
| 368 | C2×C4 | #4028 | 1 | 2 | yes | — |
| 369 | C2×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 370 | C2×C4 | C2×#709 | 1 | 2 | yes | — |
| 371 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 372 | C2×C4 | #4150 | 1 | 2 | yes | — |
| 373 | C8 | — | 2 | 4 | no | — |
| 374 | C8 | — | 20 | 2 | no | — |
| 375 | C5 | #25690 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 376 | C22 | — | 2 | 2 | no | — |
| 377 | C22 | — | 4 | 2 | no | — |
| 378 | C22 | — | 4 | 1 | no | — |
| 379 | C22 | — | 20 | 8 | no | — |
| 380 | C22 | — | 20 | 4 | no | — |
| 381 | C22 | — | 40 | 8 | no | — |
| 382 | C22 | C2×#4028 | 1 | 1 | yes | characteristic |
| 383 | C22 | #65885 | 1 | 2 | yes | — |
| 384 | C4 | — | 2 | 2 | no | — |
| 385 | C4 | — | 2 | 2 | no | — |
| 386 | C4 | — | 4 | 2 | no | — |
| 387 | C4 | — | 4 | 1 | no | — |
| 388 | C4 | — | 8 | 2 | no | — |
| 389 | C4 | — | 20 | 4 | no | — |
| 390 | C4 | — | 40 | 2 | no | — |
| 391 | C4 | #65811 | 1 | 1 | yes | characteristic |
| 392 | C4 | #65860 | 1 | 1 | yes | characteristic |
| 393 | C4 | #65886 | 1 | 2 | yes | — |
| 394 | C2 | — | 2 | 2 | no | — |
| 395 | C2 | — | 8 | 1 | no | — |
| 396 | C2 | — | 40 | 4 | no | — |
| 397 | C2 | #10605220 | 1 | 1 | yes | characteristic |
| 398 | C2 | #10610724 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10614240 | C2 | semidirect |
| 3. #10610238 | C2 | semidirect |
| 4. #10605160 | C2 | semidirect |
| 5. C5×#1759 | C2 | semidirect |
| 6. #10601152 | C2 | semidirect |
| 7. #10600669 | C2 | semidirect |
| 8. #10600234 | C2 | semidirect |
| 9. #10599551 | C2 | semidirect |
| 98. #1759 | D5 | semidirect |
| 123. C5×M16 | #41 | semidirect |
| 308. M16 | #709 | semidirect |
| 375. C5 | #25690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617749 | 2 |
| #10614240 | 2 |
| #10610238 | 2 |
| #10605160 | 2 |
| C5×#1759 | 2 |
| #10601152 | 2 |
| #10600669 | 2 |
| #10600234 | 2 |
| #10599551 | 2 |
| #25690 | 5 |