Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
520 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 95 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 | C2×#65198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10610987 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10610915 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10602231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#64716 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#1389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #66082 | — | 2 | 1 | no | — |
| 9 | C22×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 12 | #65860 | — | 2 | 1 | no | — |
| 13 | C2×C5×M32 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C5×#108 | C22 | 1 | 1 | yes | characteristic |
| 15 | C5×#427 | C22 | 1 | 1 | yes | characteristic |
| 16 | #65421 | — | 2 | 1 | no | — |
| 17 | C2×#3944 | C22 | 1 | 1 | yes | characteristic |
| 18 | #65293 | — | 2 | 1 | no | — |
| 19 | #65198 | — | 2 | 2 | no | — |
| 20 | #65198 | — | 2 | 2 | no | — |
| 21 | C2×Dic40 | — | 2 | 1 | no | — |
| 22 | C2×#3932 | — | 2 | 1 | no | — |
| 23 | #65187 | — | 2 | 2 | no | — |
| 24 | #65186 | — | 2 | 1 | no | — |
| 25 | #65185 | — | 2 | 1 | no | — |
| 26 | #65176 | — | 2 | 2 | no | — |
| 27 | #65157 | — | 2 | 2 | no | — |
| 28 | #64735 | — | 2 | 2 | no | — |
| 29 | #64716 | — | 2 | 2 | no | — |
| 30 | #64708 | — | 2 | 2 | no | — |
| 31 | #13311 | — | 5 | 1 | no | maximal, Sylow |
| 32 | C2×#709 | — | 2 | 1 | no | — |
| 33 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 34 | C22×Dic10 | — | 2 | 1 | no | — |
| 35 | C2×C5×M16 | — | 2 | 1 | no | — |
| 36 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 37 | C5×#117 | — | 2 | 1 | no | — |
| 38 | C2×#681 | D4 | 1 | 1 | yes | characteristic |
| 39 | #4055 | — | 2 | 2 | no | — |
| 40 | #4055 | — | 4 | 1 | no | — |
| 41 | #4054 | — | 2 | 2 | no | — |
| 42 | #4054 | — | 4 | 1 | no | — |
| 43 | C2×Dic20 | — | 2 | 1 | no | — |
| 44 | C2×Dic20 | — | 2 | 1 | no | — |
| 45 | C2×Dic20 | — | 2 | 1 | no | — |
| 46 | C2×Dic20 | — | 2 | 1 | no | — |
| 47 | C2×Dic20 | — | 2 | 1 | no | — |
| 48 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 49 | C2×Dic20 | D4 | 1 | 2 | yes | — |
| 50 | #4050 | — | 2 | 1 | no | — |
| 51 | #4050 | — | 2 | 1 | no | — |
| 52 | #4050 | — | 2 | 1 | no | — |
| 53 | #4050 | — | 2 | 1 | no | — |
| 54 | #4050 | — | 4 | 2 | no | — |
| 55 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 56 | C2×#677 | — | 2 | 1 | no | — |
| 57 | #4047 | — | 2 | 1 | no | — |
| 58 | #4047 | — | 2 | 1 | no | — |
| 59 | #4047 | — | 2 | 1 | no | — |
| 60 | #4047 | — | 2 | 1 | no | — |
| 61 | C2×#676 | — | 2 | 1 | no | — |
| 62 | C2×C8×D5 | — | 2 | 1 | no | — |
| 63 | #4043 | — | 2 | 4 | no | — |
| 64 | #4032 | — | 4 | 2 | no | — |
| 65 | #4021 | — | 4 | 1 | no | — |
| 66 | #4015 | — | 4 | 1 | no | — |
| 67 | C5×M32 | — | 2 | 1 | no | — |
| 68 | C5×M32 | D4 | 1 | 2 | yes | — |
| 69 | C2×C5×C16 | — | 2 | 1 | no | — |
| 70 | C5×#108 | — | 2 | 1 | no | — |
| 71 | C5×#108 | D4 | 1 | 2 | yes | — |
| 72 | C5×#107 | — | 2 | 1 | no | — |
| 73 | C5×#106 | D4 | 1 | 2 | yes | — |
| 74 | #3956 | — | 2 | 2 | no | — |
| 75 | #3955 | — | 2 | 2 | no | — |
| 76 | #3944 | — | 2 | 1 | no | — |
| 77 | #3944 | — | 2 | 1 | no | — |
| 78 | C2×#672 | — | 2 | 1 | no | — |
| 79 | #3942 | — | 2 | 4 | no | — |
| 80 | Dic40 | — | 2 | 4 | no | — |
| 81 | #3932 | — | 2 | 4 | no | — |
| 82 | C2×#510 | — | 5 | 1 | no | — |
| 83 | #3067 | — | 5 | 1 | no | — |
| 84 | #3059 | — | 5 | 1 | no | — |
| 85 | C2×#362 | — | 5 | 1 | no | — |
| 86 | #2145 | — | 5 | 1 | no | — |
| 87 | #2117 | — | 5 | 1 | no | — |
| 88 | #1389 | D5 | 1 | 1 | yes | characteristic, complemented |
| 89 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 91 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 92 | C22×Dic5 | — | 4 | 1 | no | — |
| 93 | #709 | — | 2 | 1 | no | — |
| 94 | #709 | — | 2 | 1 | no | — |
| 95 | #709 | — | 2 | 1 | no | — |
| 96 | #709 | — | 2 | 1 | no | — |
| 97 | #709 | — | 4 | 1 | no | — |
| 98 | #709 | — | 4 | 1 | no | — |
| 99 | #709 | — | 4 | 1 | no | — |
| 100 | #709 | — | 4 | 1 | no | — |
| 101 | C2×D20 | — | 2 | 1 | no | — |
| 102 | C2×D20 | D8 | 1 | 1 | yes | characteristic |
| 103 | C2×C4×D5 | — | 2 | 1 | no | — |
| 104 | C2×C4×D5 | — | 4 | 1 | no | — |
| 105 | C2×Dic10 | — | 2 | 2 | no | — |
| 106 | C2×Dic10 | — | 2 | 1 | no | — |
| 107 | C2×Dic10 | — | 4 | 1 | no | — |
| 108 | C2×Dic10 | — | 4 | 1 | no | — |
| 109 | C2×Dic10 | — | 4 | 1 | no | — |
| 110 | C2×Dic10 | — | 4 | 1 | no | — |
| 111 | C2×Dic10 | — | 4 | 1 | no | — |
| 112 | C2×Dic10 | D8 | 1 | 1 | yes | characteristic |
| 113 | C5×M16 | — | 2 | 2 | no | — |
| 114 | C5×M16 | — | 4 | 1 | no | — |
| 115 | C2×C5×C8 | — | 4 | 1 | no | — |
| 116 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×C5×C8 | #41 | 1 | 1 | yes | characteristic |
| 122 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 123 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 124 | C42×C5 | — | 4 | 1 | no | — |
| 125 | #685 | — | 4 | 4 | no | — |
| 126 | C4⋊Dic5 | — | 4 | 4 | no | — |
| 127 | #681 | — | 2 | 1 | no | — |
| 128 | #681 | — | 2 | 1 | no | — |
| 129 | C2×#168 | — | 2 | 1 | no | — |
| 130 | Dic20 | — | 2 | 2 | no | — |
| 131 | Dic20 | — | 2 | 1 | no | — |
| 132 | Dic20 | — | 2 | 1 | no | — |
| 133 | Dic20 | — | 2 | 2 | no | — |
| 134 | Dic20 | — | 4 | 2 | no | — |
| 135 | Dic20 | — | 4 | 1 | no | — |
| 136 | Dic20 | — | 4 | 1 | no | — |
| 137 | D40 | — | 2 | 1 | no | — |
| 138 | D40 | — | 2 | 1 | no | — |
| 139 | D40 | — | 4 | 2 | no | — |
| 140 | #677 | — | 4 | 2 | no | — |
| 141 | #677 | — | 4 | 2 | no | — |
| 142 | #677 | — | 4 | 1 | no | — |
| 143 | #677 | — | 4 | 1 | no | — |
| 144 | #676 | — | 4 | 1 | no | — |
| 145 | #676 | — | 4 | 1 | no | — |
| 146 | C8×D5 | — | 4 | 1 | no | — |
| 147 | C8×D5 | — | 4 | 1 | no | — |
| 148 | C5×C16 | — | 2 | 2 | no | — |
| 149 | #672 | — | 4 | 1 | no | — |
| 150 | #575 | — | 10 | 1 | no | — |
| 151 | C2×#135 | — | 5 | 1 | no | — |
| 152 | C22×Q16 | — | 5 | 1 | no | — |
| 153 | C2×#131 | — | 5 | 1 | no | — |
| 154 | #536 | — | 10 | 1 | no | — |
| 155 | #510 | — | 10 | 2 | no | — |
| 156 | #510 | — | 10 | 2 | no | — |
| 157 | C2×Q32 | — | 10 | 1 | no | — |
| 158 | C2×SD32 | — | 10 | 1 | no | — |
| 159 | C2×M32 | — | 5 | 1 | no | — |
| 160 | C2×M32 | C2×D5 | 1 | 1 | yes | characteristic |
| 161 | #473 | — | 10 | 1 | no | — |
| 162 | #472 | — | 10 | 1 | no | — |
| 163 | #471 | — | 10 | 2 | no | — |
| 164 | #470 | — | 10 | 2 | no | — |
| 165 | #467 | — | 10 | 2 | no | — |
| 166 | C2×#108 | C2×D5 | 1 | 1 | yes | characteristic |
| 167 | #427 | C2×D5 | 1 | 1 | yes | characteristic |
| 168 | #419 | — | 10 | 1 | no | — |
| 169 | #413 | — | 10 | 1 | no | — |
| 170 | #362 | — | 10 | 2 | no | — |
| 171 | #360 | — | 10 | 2 | no | — |
| 172 | #350 | — | 10 | 2 | no | — |
| 173 | C23×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 174 | C22×D5 | — | 2 | 1 | no | — |
| 175 | C22×D5 | — | 4 | 1 | no | — |
| 176 | C2×C4×C5 | — | 4 | 2 | no | — |
| 177 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 178 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 179 | C2×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 180 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×C5 | #135 | 1 | 1 | yes | characteristic |
| 182 | C2×C4×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 183 | C22⋊D5 | — | 4 | 1 | no | — |
| 184 | C22⋊D5 | — | 4 | 1 | no | — |
| 185 | C22⋊D5 | — | 8 | 1 | no | — |
| 186 | C22⋊D5 | — | 8 | 1 | no | — |
| 187 | C2×Dic5 | — | 2 | 1 | no | — |
| 188 | C2×Dic5 | — | 4 | 2 | no | — |
| 189 | C2×Dic5 | — | 4 | 1 | no | — |
| 190 | C2×Dic5 | — | 8 | 1 | no | — |
| 191 | C2×Dic5 | — | 8 | 1 | no | — |
| 192 | D20 | — | 2 | 1 | no | — |
| 193 | D20 | — | 2 | 1 | no | — |
| 194 | D20 | — | 4 | 1 | no | — |
| 195 | D20 | — | 4 | 1 | no | — |
| 196 | C4×D5 | — | 4 | 1 | no | — |
| 197 | C4×D5 | — | 4 | 1 | no | — |
| 198 | C4×D5 | — | 8 | 1 | no | — |
| 199 | C4×D5 | — | 8 | 1 | no | — |
| 200 | Dic10 | — | 2 | 1 | no | — |
| 201 | Dic10 | — | 2 | 1 | no | — |
| 202 | Dic10 | — | 4 | 1 | no | — |
| 203 | Dic10 | — | 4 | 2 | no | — |
| 204 | Dic10 | — | 4 | 1 | no | — |
| 205 | Dic10 | — | 4 | 2 | no | — |
| 206 | Dic10 | — | 8 | 1 | no | — |
| 207 | Dic10 | — | 8 | 1 | no | — |
| 208 | C5×C8 | — | 4 | 2 | no | — |
| 209 | C5×C8 | #120 | 1 | 1 | yes | characteristic |
| 210 | C5×C8 | #121 | 1 | 1 | yes | characteristic |
| 211 | C5×C8 | #121 | 1 | 1 | yes | characteristic |
| 212 | C5×C8 | #127 | 1 | 1 | yes | characteristic |
| 213 | #168 | — | 4 | 1 | no | — |
| 214 | C2×#41 | — | 5 | 1 | no | — |
| 215 | C2×#41 | — | 10 | 1 | no | — |
| 216 | C22×Q8 | — | 10 | 1 | no | — |
| 217 | #137 | — | 10 | 2 | no | — |
| 218 | #137 | — | 20 | 1 | no | — |
| 219 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 220 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 221 | #135 | — | 10 | 1 | no | — |
| 222 | #135 | — | 10 | 1 | no | — |
| 223 | #135 | — | 10 | 1 | no | — |
| 224 | #135 | — | 10 | 1 | no | — |
| 225 | #135 | — | 20 | 2 | no | — |
| 226 | C2×Q16 | — | 5 | 2 | no | — |
| 227 | C2×Q16 | — | 5 | 1 | no | — |
| 228 | C2×Q16 | — | 10 | 1 | no | — |
| 229 | C2×Q16 | — | 10 | 1 | no | — |
| 230 | C2×Q16 | — | 10 | 1 | no | — |
| 231 | C2×Q16 | — | 10 | 1 | no | — |
| 232 | C2×Q16 | — | 10 | 1 | no | — |
| 233 | C2×SD16 | — | 10 | 1 | no | — |
| 234 | C2×D8 | — | 5 | 1 | no | — |
| 235 | #131 | — | 10 | 1 | no | — |
| 236 | #131 | — | 10 | 1 | no | — |
| 237 | #131 | — | 10 | 1 | no | — |
| 238 | #131 | — | 10 | 1 | no | — |
| 239 | C2×M16 | — | 2 | 1 | no | — |
| 240 | C2×M16 | — | 5 | 1 | no | — |
| 241 | C2×M16 | — | 10 | 1 | no | — |
| 242 | C22×C8 | — | 10 | 1 | no | — |
| 243 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 244 | C4⋊Q8 | — | 20 | 1 | no | — |
| 245 | #124 | — | 20 | 1 | no | — |
| 246 | #123 | — | 20 | 2 | no | — |
| 247 | C22⋊Q8 | — | 10 | 4 | no | — |
| 248 | #117 | — | 2 | 1 | no | — |
| 249 | Q32 | — | 10 | 4 | no | — |
| 250 | SD32 | — | 10 | 4 | no | — |
| 251 | M32 | — | 2 | 1 | no | — |
| 252 | M32 | — | 10 | 1 | no | — |
| 253 | M32 | — | 10 | 1 | no | — |
| 254 | M32 | D20 | 1 | 2 | yes | — |
| 255 | C2×C16 | — | 2 | 1 | no | — |
| 256 | C2×C16 | — | 10 | 1 | no | — |
| 257 | #108 | — | 2 | 1 | no | — |
| 258 | #108 | D20 | 1 | 2 | yes | — |
| 259 | #107 | — | 2 | 1 | no | — |
| 260 | #106 | D20 | 1 | 2 | yes | — |
| 261 | #103 | — | 10 | 4 | no | — |
| 262 | #101 | — | 10 | 2 | no | — |
| 263 | #100 | — | 10 | 2 | no | — |
| 264 | C22×C5 | — | 4 | 1 | no | — |
| 265 | C22×C5 | #447 | 1 | 1 | yes | characteristic |
| 266 | C22×C5 | #449 | 1 | 1 | yes | characteristic |
| 267 | C22×C5 | #469 | 1 | 1 | yes | characteristic |
| 268 | C2×D5 | — | 4 | 2 | no | — |
| 269 | C2×D5 | — | 4 | 1 | no | — |
| 270 | C2×D5 | — | 8 | 1 | no | — |
| 271 | C2×D5 | — | 16 | 1 | no | — |
| 272 | C4×C5 | — | 8 | 2 | no | — |
| 273 | C4×C5 | #392 | 1 | 1 | yes | characteristic |
| 274 | C4×C5 | #447 | 1 | 1 | yes | characteristic |
| 275 | C4×C5 | #449 | 1 | 1 | yes | characteristic |
| 276 | C4×C5 | #466 | 1 | 1 | yes | characteristic |
| 277 | Dic5 | — | 4 | 1 | no | — |
| 278 | Dic5 | — | 8 | 2 | no | — |
| 279 | Dic5 | — | 8 | 1 | no | — |
| 280 | #41 | — | 10 | 1 | no | — |
| 281 | #41 | — | 10 | 1 | no | — |
| 282 | #41 | — | 10 | 1 | no | — |
| 283 | #41 | — | 10 | 1 | no | — |
| 284 | #41 | — | 20 | 1 | no | — |
| 285 | #41 | — | 20 | 1 | no | — |
| 286 | #41 | — | 20 | 1 | no | — |
| 287 | #41 | — | 20 | 1 | no | — |
| 288 | C2×Q8 | — | 5 | 1 | no | — |
| 289 | C2×Q8 | — | 10 | 1 | no | — |
| 290 | C2×Q8 | — | 10 | 2 | no | — |
| 291 | C2×Q8 | — | 20 | 1 | no | — |
| 292 | C2×Q8 | — | 20 | 1 | no | — |
| 293 | C2×Q8 | — | 20 | 1 | no | — |
| 294 | C2×Q8 | — | 20 | 1 | no | — |
| 295 | C2×Q8 | — | 20 | 1 | no | — |
| 296 | C2×D4 | — | 5 | 1 | no | — |
| 297 | C2×D4 | — | 10 | 1 | no | — |
| 298 | C2×D4 | — | 10 | 1 | no | — |
| 299 | C2×D4 | — | 20 | 1 | no | — |
| 300 | C22×C4 | — | 10 | 1 | no | — |
| 301 | C22×C4 | — | 20 | 1 | no | — |
| 302 | C22×C4 | — | 20 | 1 | no | — |
| 303 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 304 | Q16 | — | 10 | 2 | no | — |
| 305 | Q16 | — | 10 | 1 | no | — |
| 306 | Q16 | — | 10 | 2 | no | — |
| 307 | Q16 | — | 10 | 1 | no | — |
| 308 | Q16 | — | 20 | 2 | no | — |
| 309 | Q16 | — | 20 | 1 | no | — |
| 310 | Q16 | — | 20 | 1 | no | — |
| 311 | SD16 | — | 20 | 2 | no | — |
| 312 | SD16 | — | 20 | 2 | no | — |
| 313 | SD16 | — | 20 | 1 | no | — |
| 314 | SD16 | — | 20 | 1 | no | — |
| 315 | D8 | — | 10 | 1 | no | — |
| 316 | D8 | — | 10 | 1 | no | — |
| 317 | D8 | — | 20 | 2 | no | — |
| 318 | M16 | — | 2 | 2 | no | — |
| 319 | M16 | — | 4 | 1 | no | — |
| 320 | M16 | — | 10 | 1 | no | — |
| 321 | M16 | — | 10 | 1 | no | — |
| 322 | M16 | — | 20 | 1 | no | — |
| 323 | M16 | — | 20 | 1 | no | — |
| 324 | C2×C8 | — | 4 | 1 | no | — |
| 325 | C2×C8 | — | 10 | 1 | no | — |
| 326 | C2×C8 | — | 20 | 1 | no | — |
| 327 | C2×C8 | — | 20 | 1 | no | — |
| 328 | C2×C8 | C2×D20 | 1 | 1 | yes | characteristic |
| 329 | C2×C8 | C2×D20 | 1 | 1 | yes | characteristic |
| 330 | C2×C8 | C2×D20 | 1 | 1 | yes | characteristic |
| 331 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 332 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 333 | C2×C8 | #713 | 1 | 1 | yes | characteristic |
| 334 | C4⋊C4 | — | 2 | 2 | no | — |
| 335 | C4⋊C4 | — | 20 | 4 | no | — |
| 336 | C22⋊C4 | — | 4 | 1 | no | — |
| 337 | C22⋊C4 | — | 20 | 4 | no | — |
| 338 | C42 | — | 4 | 1 | no | — |
| 339 | C16 | — | 2 | 2 | no | — |
| 340 | C16 | — | 20 | 1 | no | — |
| 341 | C2×C5 | — | 2 | 1 | no | — |
| 342 | C2×C5 | — | 2 | 1 | no | — |
| 343 | C2×C5 | — | 2 | 1 | no | — |
| 344 | C2×C5 | #1999 | 1 | 1 | yes | characteristic |
| 345 | D5 | — | 8 | 1 | no | — |
| 346 | D5 | — | 16 | 1 | no | — |
| 347 | C23 | — | 10 | 1 | no | — |
| 348 | C23 | — | 20 | 1 | no | — |
| 349 | C23 | #4060 | 1 | 1 | yes | characteristic |
| 350 | Q8 | — | 10 | 1 | no | — |
| 351 | Q8 | — | 10 | 1 | no | — |
| 352 | Q8 | — | 20 | 1 | no | — |
| 353 | Q8 | — | 20 | 2 | no | — |
| 354 | Q8 | — | 20 | 1 | no | — |
| 355 | Q8 | — | 20 | 2 | no | — |
| 356 | Q8 | — | 40 | 1 | no | — |
| 357 | Q8 | — | 40 | 1 | no | — |
| 358 | D4 | — | 10 | 1 | no | — |
| 359 | D4 | — | 10 | 1 | no | — |
| 360 | D4 | — | 20 | 1 | no | — |
| 361 | D4 | — | 20 | 1 | no | — |
| 362 | D4 | — | 20 | 1 | no | — |
| 363 | D4 | — | 20 | 1 | no | — |
| 364 | D4 | — | 40 | 1 | no | — |
| 365 | D4 | — | 40 | 1 | no | — |
| 366 | C2×C4 | — | 4 | 2 | no | — |
| 367 | C2×C4 | — | 10 | 1 | no | — |
| 368 | C2×C4 | — | 20 | 1 | no | — |
| 369 | C2×C4 | — | 20 | 1 | no | — |
| 370 | C2×C4 | — | 20 | 2 | no | — |
| 371 | C2×C4 | — | 20 | 1 | no | — |
| 372 | C2×C4 | — | 40 | 1 | no | — |
| 373 | C2×C4 | — | 40 | 1 | no | — |
| 374 | C2×C4 | — | 40 | 1 | no | — |
| 375 | C2×C4 | — | 40 | 1 | no | — |
| 376 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 378 | C2×C4 | #4041 | 1 | 1 | yes | characteristic |
| 379 | C2×C4 | D5×D8 | 1 | 1 | yes | characteristic |
| 380 | C2×C4 | #4060 | 1 | 1 | yes | characteristic |
| 381 | C2×C4 | #4065 | 1 | 1 | yes | characteristic |
| 382 | C8 | — | 4 | 2 | no | — |
| 383 | C8 | — | 20 | 1 | no | — |
| 384 | C8 | #4020 | 1 | 1 | yes | characteristic |
| 385 | C8 | #4028 | 1 | 1 | yes | characteristic |
| 386 | C8 | #4041 | 1 | 1 | yes | characteristic |
| 387 | C8 | #4041 | 1 | 1 | yes | characteristic |
| 388 | C5 | #13311 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 389 | C22 | — | 4 | 1 | no | — |
| 390 | C22 | — | 20 | 2 | no | — |
| 391 | C22 | — | 20 | 1 | no | — |
| 392 | C22 | — | 40 | 1 | no | — |
| 393 | C22 | — | 80 | 1 | no | — |
| 394 | C22 | #65062 | 1 | 1 | yes | characteristic |
| 395 | C22 | #65100 | 1 | 1 | yes | characteristic |
| 396 | C22 | #65154 | 1 | 1 | yes | characteristic |
| 397 | C4 | — | 8 | 2 | no | — |
| 398 | C4 | — | 20 | 1 | no | — |
| 399 | C4 | — | 40 | 1 | no | — |
| 400 | C4 | — | 40 | 2 | no | — |
| 401 | C4 | #64960 | 1 | 1 | yes | characteristic |
| 402 | C4 | #65062 | 1 | 1 | yes | characteristic |
| 403 | C4 | #65100 | 1 | 1 | yes | characteristic |
| 404 | C4 | #65172 | 1 | 1 | yes | characteristic |
| 405 | C2 | — | 2 | 1 | no | — |
| 406 | C2 | — | 2 | 1 | no | — |
| 407 | C2 | — | 2 | 1 | no | — |
| 408 | C2 | — | 40 | 1 | no | — |
| 409 | C2 | — | 80 | 1 | no | — |
| 410 | C2 | #10599679 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#65198 | C2 | semidirect |
| 3. #10610915 | C2 | semidirect |
| 4. #10602231 | C2 | semidirect |
| 5. C2×#64716 | C2 | semidirect |
| 6. #10601449 | C2 | semidirect |
| 7. C5×#1389 | C2 | semidirect |
| 88. #1389 | D5 | semidirect |
| 388. C5 | #13311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65198 | 2 |
| #10610987 | 2 |
| #10610915 | 2 |
| #10602231 | 2 |
| C2×#64716 | 2 |
| #10601449 | 2 |
| C5×#1389 | 2 |
| #13311 | 5 |