Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
568 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10613740 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#65197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610296 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10602243 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10602233 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10600690 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#1378 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#4054 | — | 2 | 1 | no | — |
| 9 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 11 | C22×D40 | C22 | 1 | 1 | yes | characteristic |
| 12 | #65859 | — | 2 | 1 | no | — |
| 13 | C2×C5×M32 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C5×M32 | C22 | 1 | 1 | yes | characteristic |
| 15 | C5×#405 | C22 | 1 | 1 | yes | characteristic |
| 16 | #65428 | — | 2 | 1 | no | — |
| 17 | #65395 | C22 | 1 | 1 | yes | characteristic |
| 18 | #65295 | — | 2 | 1 | no | — |
| 19 | #65198 | — | 2 | 1 | no | — |
| 20 | #65198 | — | 2 | 1 | no | — |
| 21 | #65197 | — | 2 | 2 | no | — |
| 22 | #65197 | — | 2 | 1 | no | — |
| 23 | #65197 | — | 2 | 1 | no | — |
| 24 | #65197 | — | 2 | 2 | no | — |
| 25 | #65193 | — | 2 | 2 | no | — |
| 26 | C2×#3932 | — | 2 | 1 | no | — |
| 27 | C2×D80 | — | 2 | 1 | no | — |
| 28 | #65001 | — | 2 | 2 | no | — |
| 29 | #64985 | — | 2 | 1 | no | — |
| 30 | #64984 | — | 2 | 1 | no | — |
| 31 | #64738 | — | 2 | 2 | no | — |
| 32 | #64729 | — | 2 | 2 | no | — |
| 33 | #13334 | — | 5 | 1 | no | maximal, Sylow |
| 34 | C2×#709 | — | 2 | 1 | no | — |
| 35 | C2×#709 | — | 2 | 1 | no | — |
| 36 | C22×D20 | — | 2 | 1 | no | — |
| 37 | C2×C5×M16 | D4 | 1 | 1 | yes | characteristic |
| 38 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 39 | C5×#117 | D4 | 1 | 1 | yes | characteristic |
| 40 | #4072 | — | 2 | 1 | no | — |
| 41 | #4054 | — | 4 | 2 | no | — |
| 42 | #4054 | — | 4 | 2 | no | — |
| 43 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 44 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic, complemented |
| 45 | #4050 | — | 2 | 1 | no | — |
| 46 | #4050 | — | 2 | 1 | no | — |
| 47 | #4050 | — | 2 | 1 | no | — |
| 48 | #4050 | — | 2 | 1 | no | — |
| 49 | #4050 | — | 2 | 1 | no | — |
| 50 | #4050 | — | 2 | 1 | no | — |
| 51 | #4050 | — | 2 | 1 | no | — |
| 52 | #4050 | — | 2 | 1 | no | — |
| 53 | C2×D40 | — | 2 | 1 | no | — |
| 54 | C2×D40 | — | 2 | 1 | no | — |
| 55 | C2×D40 | — | 2 | 1 | no | — |
| 56 | C2×D40 | — | 2 | 1 | no | — |
| 57 | C2×D40 | — | 2 | 2 | no | — |
| 58 | C2×D40 | — | 2 | 1 | no | — |
| 59 | C2×D40 | D4 | 1 | 2 | yes | — |
| 60 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 61 | C2×D40 | D4 | 1 | 1 | yes | characteristic, complemented |
| 62 | C2×#677 | — | 2 | 2 | no | — |
| 63 | C2×#677 | — | 2 | 1 | no | — |
| 64 | C2×#677 | — | 2 | 1 | no | — |
| 65 | #4041 | — | 4 | 2 | no | — |
| 66 | #4028 | — | 4 | 2 | no | — |
| 67 | #4021 | — | 2 | 2 | no | — |
| 68 | #4020 | — | 2 | 2 | no | — |
| 69 | C5×M32 | — | 2 | 1 | no | — |
| 70 | C5×M32 | — | 2 | 1 | no | — |
| 71 | C5×M32 | — | 2 | 1 | no | — |
| 72 | C5×M32 | D4 | 1 | 2 | yes | complemented |
| 73 | C2×C5×C16 | — | 2 | 1 | no | — |
| 74 | C2×C5×C16 | D4 | 1 | 2 | yes | complemented |
| 75 | C5×#97 | — | 2 | 1 | no | — |
| 76 | C4×C5×C8 | — | 2 | 1 | no | — |
| 77 | #3957 | — | 4 | 2 | no | — |
| 78 | #3950 | — | 2 | 1 | no | — |
| 79 | #3949 | — | 2 | 1 | no | — |
| 80 | #3938 | — | 4 | 2 | no | — |
| 81 | Dic40 | — | 2 | 2 | no | — |
| 82 | #3932 | — | 2 | 4 | no | — |
| 83 | #3932 | — | 2 | 2 | no | — |
| 84 | #3932 | — | 2 | 2 | no | — |
| 85 | D80 | — | 2 | 4 | no | — |
| 86 | D80 | — | 2 | 2 | no | — |
| 87 | #3414 | — | 5 | 1 | no | — |
| 88 | C2×#509 | — | 5 | 1 | no | — |
| 89 | #3155 | — | 5 | 1 | no | — |
| 90 | #2145 | — | 5 | 1 | no | — |
| 91 | #2140 | — | 5 | 1 | no | — |
| 92 | #1976 | — | 5 | 1 | no | — |
| 93 | #1378 | D5 | 1 | 1 | yes | characteristic, complemented |
| 94 | C23×D5 | — | 4 | 1 | no | — |
| 95 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 97 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 98 | #709 | — | 4 | 1 | no | — |
| 99 | #709 | — | 4 | 1 | no | — |
| 100 | #709 | — | 4 | 1 | no | — |
| 101 | #709 | — | 4 | 1 | no | — |
| 102 | #709 | — | 4 | 1 | no | — |
| 103 | #709 | — | 4 | 1 | no | — |
| 104 | #709 | — | 4 | 1 | no | — |
| 105 | #709 | — | 4 | 1 | no | — |
| 106 | C2×D20 | — | 2 | 2 | no | — |
| 107 | C2×D20 | — | 2 | 1 | no | — |
| 108 | C2×D20 | — | 2 | 1 | no | — |
| 109 | C2×D20 | — | 4 | 1 | no | — |
| 110 | C2×D20 | — | 4 | 1 | no | — |
| 111 | C2×D20 | — | 4 | 1 | no | — |
| 112 | C2×D20 | — | 4 | 1 | no | — |
| 113 | C2×D20 | — | 4 | 1 | no | — |
| 114 | C2×D20 | — | 4 | 4 | no | — |
| 115 | C2×C4×D5 | — | 4 | 1 | no | — |
| 116 | C2×C4×D5 | — | 4 | 1 | no | — |
| 117 | C2×Dic10 | — | 2 | 1 | no | — |
| 118 | C2×Dic10 | — | 2 | 1 | no | — |
| 119 | C5×M16 | — | 2 | 1 | no | — |
| 120 | C5×M16 | D8 | 1 | 2 | yes | — |
| 121 | C2×C5×C8 | — | 2 | 1 | no | — |
| 122 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C5×C8 | #41 | 1 | 1 | yes | characteristic |
| 128 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 129 | C5×C22⋊C4 | D8 | 1 | 2 | yes | — |
| 130 | C42×C5 | — | 2 | 1 | no | — |
| 131 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 132 | #685 | — | 4 | 4 | no | — |
| 133 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 134 | C4×Dic5 | — | 4 | 1 | no | — |
| 135 | Dic20 | — | 2 | 1 | no | — |
| 136 | Dic20 | — | 2 | 1 | no | — |
| 137 | Dic20 | — | 2 | 1 | no | — |
| 138 | Dic20 | — | 2 | 1 | no | — |
| 139 | D40 | — | 2 | 1 | no | — |
| 140 | D40 | — | 2 | 2 | no | — |
| 141 | D40 | — | 2 | 1 | no | — |
| 142 | D40 | — | 2 | 1 | no | — |
| 143 | D40 | — | 2 | 2 | no | — |
| 144 | D40 | — | 2 | 1 | no | — |
| 145 | D40 | — | 4 | 4 | no | — |
| 146 | D40 | — | 4 | 1 | no | — |
| 147 | D40 | — | 4 | 1 | no | — |
| 148 | #677 | — | 4 | 4 | no | — |
| 149 | #677 | — | 4 | 1 | no | — |
| 150 | #677 | — | 4 | 1 | no | — |
| 151 | #677 | — | 4 | 1 | no | — |
| 152 | #677 | — | 4 | 1 | no | — |
| 153 | C5×C16 | — | 2 | 2 | no | — |
| 154 | C5×C16 | — | 2 | 2 | no | — |
| 155 | C2×AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 156 | C2×#135 | — | 5 | 1 | no | — |
| 157 | C2×#135 | — | 5 | 1 | no | — |
| 158 | C22×D8 | — | 5 | 1 | no | — |
| 159 | #535 | — | 10 | 1 | no | — |
| 160 | #510 | — | 10 | 1 | no | — |
| 161 | #510 | — | 10 | 1 | no | — |
| 162 | #509 | — | 10 | 2 | no | — |
| 163 | #509 | — | 10 | 1 | no | — |
| 164 | #509 | — | 10 | 1 | no | — |
| 165 | #509 | — | 10 | 2 | no | — |
| 166 | #508 | — | 10 | 2 | no | — |
| 167 | C2×SD32 | — | 10 | 1 | no | — |
| 168 | C2×D16 | — | 10 | 1 | no | — |
| 169 | C2×M32 | C2×D5 | 1 | 1 | yes | characteristic |
| 170 | C2×M32 | C2×D5 | 1 | 1 | yes | characteristic |
| 171 | #496 | — | 10 | 2 | no | — |
| 172 | #495 | — | 10 | 1 | no | — |
| 173 | #493 | — | 10 | 1 | no | — |
| 174 | #427 | — | 5 | 1 | no | — |
| 175 | #421 | — | 10 | 1 | no | — |
| 176 | #410 | — | 10 | 1 | no | — |
| 177 | #405 | C2×D5 | 1 | 1 | yes | characteristic |
| 178 | #360 | — | 10 | 2 | no | — |
| 179 | #357 | — | 10 | 2 | no | — |
| 180 | C23×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 181 | C22×D5 | — | 4 | 2 | no | — |
| 182 | C22×D5 | — | 4 | 1 | no | — |
| 183 | C22×D5 | — | 4 | 1 | no | — |
| 184 | C22×D5 | — | 8 | 1 | no | — |
| 185 | C22×D5 | — | 8 | 1 | no | — |
| 186 | C22×D5 | — | 16 | 2 | no | — |
| 187 | C2×C4×C5 | — | 2 | 2 | no | — |
| 188 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 189 | C2×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×C5 | #127 | 1 | 1 | yes | characteristic |
| 191 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 192 | C2×C4×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 193 | C2×C4×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 194 | C22⋊D5 | — | 8 | 1 | no | — |
| 195 | C22⋊D5 | — | 8 | 1 | no | — |
| 196 | C22⋊D5 | — | 8 | 1 | no | — |
| 197 | C22⋊D5 | — | 8 | 1 | no | — |
| 198 | C2×Dic5 | — | 4 | 1 | no | — |
| 199 | C2×Dic5 | — | 4 | 1 | no | — |
| 200 | C2×Dic5 | — | 8 | 1 | no | — |
| 201 | D20 | — | 4 | 1 | no | — |
| 202 | D20 | — | 4 | 1 | no | — |
| 203 | D20 | — | 4 | 2 | no | — |
| 204 | D20 | — | 4 | 2 | no | — |
| 205 | D20 | — | 4 | 1 | no | — |
| 206 | D20 | — | 4 | 1 | no | — |
| 207 | D20 | — | 8 | 1 | no | — |
| 208 | D20 | — | 8 | 1 | no | — |
| 209 | D20 | — | 16 | 4 | no | — |
| 210 | C4×D5 | — | 8 | 1 | no | — |
| 211 | C4×D5 | — | 8 | 1 | no | — |
| 212 | C4×D5 | — | 8 | 1 | no | — |
| 213 | C4×D5 | — | 8 | 1 | no | — |
| 214 | Dic10 | — | 4 | 1 | no | — |
| 215 | Dic10 | — | 4 | 1 | no | — |
| 216 | Dic10 | — | 4 | 1 | no | — |
| 217 | Dic10 | — | 4 | 1 | no | — |
| 218 | C5×C8 | — | 2 | 2 | no | — |
| 219 | C5×C8 | #120 | 1 | 1 | yes | characteristic |
| 220 | C5×C8 | #120 | 1 | 1 | yes | characteristic |
| 221 | C5×C8 | #121 | 1 | 1 | yes | characteristic |
| 222 | C5×C8 | #121 | 1 | 1 | yes | characteristic |
| 223 | C2×#41 | — | 10 | 1 | no | — |
| 224 | C2×#41 | — | 10 | 1 | no | — |
| 225 | C22×D4 | — | 10 | 1 | no | — |
| 226 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 227 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 228 | #135 | — | 10 | 1 | no | — |
| 229 | #135 | — | 10 | 1 | no | — |
| 230 | #135 | — | 10 | 1 | no | — |
| 231 | #135 | — | 10 | 1 | no | — |
| 232 | #135 | — | 10 | 1 | no | — |
| 233 | #135 | — | 10 | 1 | no | — |
| 234 | #135 | — | 10 | 1 | no | — |
| 235 | #135 | — | 10 | 1 | no | — |
| 236 | C2×Q16 | — | 5 | 1 | no | — |
| 237 | C2×Q16 | — | 5 | 1 | no | — |
| 238 | C2×SD16 | — | 10 | 2 | no | — |
| 239 | C2×SD16 | — | 10 | 1 | no | — |
| 240 | C2×SD16 | — | 10 | 1 | no | — |
| 241 | C2×D8 | — | 5 | 2 | no | — |
| 242 | C2×D8 | — | 5 | 1 | no | — |
| 243 | C2×D8 | — | 5 | 1 | no | — |
| 244 | C2×D8 | — | 10 | 2 | no | — |
| 245 | C2×D8 | — | 10 | 1 | no | — |
| 246 | C2×D8 | — | 10 | 1 | no | — |
| 247 | C2×D8 | — | 10 | 1 | no | — |
| 248 | C2×D8 | — | 10 | 1 | no | — |
| 249 | C2×D8 | — | 10 | 1 | no | — |
| 250 | C2×M16 | D20 | 1 | 1 | yes | characteristic |
| 251 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 252 | #127 | — | 10 | 2 | no | — |
| 253 | #124 | — | 10 | 2 | no | — |
| 254 | #121 | — | 20 | 2 | no | — |
| 255 | #120 | — | 20 | 2 | no | — |
| 256 | #117 | — | 10 | 1 | no | — |
| 257 | #117 | D20 | 1 | 1 | yes | characteristic |
| 258 | Q32 | — | 10 | 2 | no | — |
| 259 | SD32 | — | 10 | 4 | no | — |
| 260 | SD32 | — | 10 | 2 | no | — |
| 261 | SD32 | — | 10 | 2 | no | — |
| 262 | D16 | — | 10 | 4 | no | — |
| 263 | D16 | — | 10 | 2 | no | — |
| 264 | M32 | — | 2 | 1 | no | — |
| 265 | M32 | — | 2 | 1 | no | — |
| 266 | M32 | — | 2 | 1 | no | — |
| 267 | M32 | D20 | 1 | 2 | yes | complemented |
| 268 | C2×C16 | — | 2 | 1 | no | — |
| 269 | C2×C16 | D20 | 1 | 2 | yes | complemented |
| 270 | #107 | — | 10 | 1 | no | — |
| 271 | #106 | — | 10 | 1 | no | — |
| 272 | #104 | — | 20 | 2 | no | — |
| 273 | #99 | — | 20 | 2 | no | — |
| 274 | #97 | — | 2 | 1 | no | — |
| 275 | C4×C8 | — | 2 | 1 | no | — |
| 276 | C22×C5 | — | 4 | 1 | no | — |
| 277 | C22×C5 | #447 | 1 | 1 | yes | characteristic |
| 278 | C22×C5 | #459 | 1 | 1 | yes | characteristic |
| 279 | C22×C5 | #493 | 1 | 1 | yes | characteristic |
| 280 | C2×D5 | — | 8 | 2 | no | — |
| 281 | C2×D5 | — | 8 | 4 | no | — |
| 282 | C2×D5 | — | 8 | 1 | no | — |
| 283 | C2×D5 | — | 8 | 1 | no | — |
| 284 | C2×D5 | — | 8 | 2 | no | — |
| 285 | C2×D5 | — | 16 | 2 | no | — |
| 286 | C2×D5 | — | 16 | 2 | no | — |
| 287 | C2×D5 | — | 16 | 1 | no | — |
| 288 | C4×C5 | — | 4 | 2 | no | — |
| 289 | C4×C5 | #392 | 1 | 1 | yes | characteristic |
| 290 | C4×C5 | #447 | 1 | 1 | yes | characteristic |
| 291 | C4×C5 | #459 | 1 | 1 | yes | characteristic |
| 292 | C4×C5 | #496 | 1 | 1 | yes | characteristic |
| 293 | Dic5 | — | 8 | 1 | no | — |
| 294 | Dic5 | — | 8 | 1 | no | — |
| 295 | Dic5 | — | 16 | 1 | no | — |
| 296 | C24 | — | 20 | 1 | no | — |
| 297 | #41 | — | 20 | 1 | no | — |
| 298 | #41 | — | 20 | 1 | no | — |
| 299 | #41 | — | 20 | 1 | no | — |
| 300 | #41 | — | 20 | 1 | no | — |
| 301 | #41 | — | 20 | 1 | no | — |
| 302 | #41 | — | 20 | 1 | no | — |
| 303 | #41 | — | 20 | 1 | no | — |
| 304 | #41 | — | 20 | 1 | no | — |
| 305 | C2×Q8 | — | 10 | 1 | no | — |
| 306 | C2×Q8 | — | 10 | 1 | no | — |
| 307 | C2×D4 | — | 10 | 2 | no | — |
| 308 | C2×D4 | — | 10 | 1 | no | — |
| 309 | C2×D4 | — | 10 | 1 | no | — |
| 310 | C2×D4 | — | 20 | 4 | no | — |
| 311 | C2×D4 | — | 20 | 1 | no | — |
| 312 | C2×D4 | — | 20 | 1 | no | — |
| 313 | C2×D4 | — | 20 | 1 | no | — |
| 314 | C2×D4 | — | 20 | 1 | no | — |
| 315 | C2×D4 | — | 20 | 1 | no | — |
| 316 | C2×D4 | — | 20 | 1 | no | — |
| 317 | C2×D4 | — | 20 | 1 | no | — |
| 318 | C22×C4 | — | 20 | 1 | no | — |
| 319 | C22×C4 | — | 20 | 1 | no | — |
| 320 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 321 | Q16 | — | 10 | 1 | no | — |
| 322 | Q16 | — | 10 | 1 | no | — |
| 323 | Q16 | — | 10 | 1 | no | — |
| 324 | Q16 | — | 10 | 1 | no | — |
| 325 | SD16 | — | 20 | 4 | no | — |
| 326 | SD16 | — | 20 | 1 | no | — |
| 327 | SD16 | — | 20 | 1 | no | — |
| 328 | SD16 | — | 20 | 1 | no | — |
| 329 | SD16 | — | 20 | 1 | no | — |
| 330 | D8 | — | 10 | 1 | no | — |
| 331 | D8 | — | 10 | 2 | no | — |
| 332 | D8 | — | 10 | 1 | no | — |
| 333 | D8 | — | 10 | 1 | no | — |
| 334 | D8 | — | 10 | 2 | no | — |
| 335 | D8 | — | 10 | 1 | no | — |
| 336 | D8 | — | 20 | 4 | no | — |
| 337 | D8 | — | 20 | 1 | no | — |
| 338 | D8 | — | 20 | 1 | no | — |
| 339 | M16 | — | 2 | 1 | no | — |
| 340 | M16 | D40 | 1 | 2 | yes | — |
| 341 | C2×C8 | — | 2 | 1 | no | — |
| 342 | C2×C8 | C2×D20 | 1 | 1 | yes | characteristic |
| 343 | C2×C8 | C2×D20 | 1 | 1 | yes | characteristic |
| 344 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 345 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 346 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 347 | C2×C8 | #713 | 1 | 1 | yes | characteristic |
| 348 | C4⋊C4 | — | 2 | 1 | no | — |
| 349 | C4⋊C4 | — | 20 | 1 | no | — |
| 350 | C22⋊C4 | — | 20 | 4 | no | — |
| 351 | C22⋊C4 | — | 20 | 1 | no | — |
| 352 | C22⋊C4 | D40 | 1 | 2 | yes | — |
| 353 | C42 | — | 2 | 1 | no | — |
| 354 | C42 | — | 20 | 1 | no | — |
| 355 | C16 | — | 2 | 2 | no | — |
| 356 | C16 | — | 2 | 2 | no | — |
| 357 | C2×C5 | — | 2 | 1 | no | — |
| 358 | C2×C5 | — | 2 | 1 | no | — |
| 359 | C2×C5 | — | 2 | 1 | no | — |
| 360 | C2×C5 | #2011 | 1 | 1 | yes | characteristic |
| 361 | D5 | — | 16 | 1 | no | — |
| 362 | D5 | — | 16 | 2 | no | — |
| 363 | D5 | — | 16 | 1 | no | — |
| 364 | C23 | — | 20 | 2 | no | — |
| 365 | C23 | — | 20 | 1 | no | — |
| 366 | C23 | — | 20 | 1 | no | — |
| 367 | C23 | — | 40 | 1 | no | — |
| 368 | C23 | — | 40 | 1 | no | — |
| 369 | C23 | — | 80 | 2 | no | — |
| 370 | C23 | C2×D40 | 1 | 1 | yes | characteristic |
| 371 | Q8 | — | 20 | 1 | no | — |
| 372 | Q8 | — | 20 | 1 | no | — |
| 373 | Q8 | — | 20 | 1 | no | — |
| 374 | Q8 | — | 20 | 1 | no | — |
| 375 | D4 | — | 20 | 1 | no | — |
| 376 | D4 | — | 20 | 2 | no | — |
| 377 | D4 | — | 20 | 1 | no | — |
| 378 | D4 | — | 20 | 1 | no | — |
| 379 | D4 | — | 20 | 1 | no | — |
| 380 | D4 | — | 20 | 2 | no | — |
| 381 | D4 | — | 40 | 1 | no | — |
| 382 | D4 | — | 40 | 1 | no | — |
| 383 | D4 | — | 40 | 1 | no | — |
| 384 | D4 | — | 40 | 1 | no | — |
| 385 | D4 | — | 40 | 1 | no | — |
| 386 | D4 | — | 40 | 1 | no | — |
| 387 | D4 | — | 80 | 4 | no | — |
| 388 | C2×C4 | — | 2 | 2 | no | — |
| 389 | C2×C4 | — | 20 | 1 | no | — |
| 390 | C2×C4 | — | 20 | 1 | no | — |
| 391 | C2×C4 | — | 40 | 1 | no | — |
| 392 | C2×C4 | — | 40 | 1 | no | — |
| 393 | C2×C4 | — | 40 | 1 | no | — |
| 394 | C2×C4 | — | 40 | 1 | no | — |
| 395 | C2×C4 | — | 40 | 1 | no | — |
| 396 | C2×C4 | #4020 | 1 | 1 | yes | characteristic |
| 397 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 398 | C2×C4 | #4041 | 1 | 1 | yes | characteristic |
| 399 | C2×C4 | C2×D40 | 1 | 1 | yes | characteristic |
| 400 | C2×C4 | #4054 | 1 | 1 | yes | characteristic |
| 401 | C2×C4 | #4054 | 1 | 1 | yes | characteristic |
| 402 | C8 | — | 2 | 2 | no | — |
| 403 | C8 | #4028 | 1 | 1 | yes | characteristic |
| 404 | C8 | #4028 | 1 | 1 | yes | characteristic |
| 405 | C8 | #4041 | 1 | 1 | yes | characteristic |
| 406 | C8 | #4041 | 1 | 1 | yes | characteristic |
| 407 | C5 | #13334 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 408 | C22 | — | 4 | 1 | no | — |
| 409 | C22 | — | 40 | 2 | no | — |
| 410 | C22 | — | 40 | 4 | no | — |
| 411 | C22 | — | 40 | 1 | no | — |
| 412 | C22 | — | 40 | 1 | no | — |
| 413 | C22 | — | 40 | 2 | no | — |
| 414 | C22 | — | 80 | 1 | no | — |
| 415 | C22 | — | 80 | 2 | no | — |
| 416 | C22 | — | 80 | 2 | no | — |
| 417 | C22 | #64984 | 1 | 1 | yes | characteristic |
| 418 | C22 | #65021 | 1 | 1 | yes | characteristic |
| 419 | C22 | #65132 | 1 | 1 | yes | characteristic |
| 420 | C4 | — | 4 | 2 | no | — |
| 421 | C4 | — | 40 | 1 | no | — |
| 422 | C4 | — | 40 | 1 | no | — |
| 423 | C4 | — | 80 | 1 | no | — |
| 424 | C4 | #64960 | 1 | 1 | yes | characteristic |
| 425 | C4 | #65001 | 1 | 1 | yes | characteristic |
| 426 | C4 | #65021 | 1 | 1 | yes | characteristic |
| 427 | C4 | #65132 | 1 | 1 | yes | characteristic |
| 428 | C2 | — | 2 | 1 | no | — |
| 429 | C2 | — | 2 | 1 | no | — |
| 430 | C2 | — | 2 | 1 | no | — |
| 431 | C2 | — | 80 | 2 | no | — |
| 432 | C2 | — | 80 | 1 | no | — |
| 433 | C2 | — | 80 | 1 | no | — |
| 434 | C2 | #10599467 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10613740 | C2 | semidirect |
| 2. C2×#65197 | C2 | semidirect |
| 3. #10610296 | C2 | semidirect |
| 4. #10602243 | C2 | semidirect |
| 5. #10602233 | C2 | semidirect |
| 6. #10600690 | C2 | semidirect |
| 7. C5×#1378 | C2 | semidirect |
| 44. C2×Dic20 | D4 | semidirect |
| 61. C2×D40 | D4 | semidirect |
| 72. C5×M32 | D4 | semidirect |
| 74. C2×C5×C16 | D4 | semidirect |
| 93. #1378 | D5 | semidirect |
| 267. M32 | D20 | semidirect |
| 269. C2×C16 | D20 | semidirect |
| 407. C5 | #13334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10613740 | 2 |
| C2×#65197 | 2 |
| #10610296 | 2 |
| #10602243 | 2 |
| #10602233 | 2 |
| #10600690 | 2 |
| C5×#1378 | 2 |
| #13334 | 5 |