Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1084 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 1084 conjugacy classes of subgroups — too many to draw. Only its 151 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 | #10618132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10615053 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10610449 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C5×#2132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10600943 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10599962 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10599955 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #66283 | C22 | 1 | 1 | yes | characteristic |
| 9 | C5×#532 | C22 | 1 | 1 | yes | characteristic |
| 10 | #66159 | — | 2 | 1 | no | — |
| 11 | #66159 | C22 | 1 | 2 | yes | — |
| 12 | #66156 | — | 2 | 1 | no | — |
| 13 | C2×#4055 | — | 2 | 2 | no | — |
| 14 | #66056 | C22 | 1 | 2 | yes | complemented |
| 15 | #66047 | — | 2 | 1 | no | — |
| 16 | #66006 | — | 2 | 1 | no | — |
| 17 | #66006 | C22 | 1 | 2 | yes | complemented |
| 18 | #65937 | — | 2 | 4 | no | — |
| 19 | #65876 | — | 2 | 2 | no | — |
| 20 | D4×Dic10 | — | 2 | 2 | no | — |
| 21 | #65804 | — | 2 | 1 | no | — |
| 22 | C5×#413 | C22 | 1 | 2 | yes | — |
| 23 | #65526 | C22 | 1 | 1 | yes | characteristic |
| 24 | #65428 | — | 2 | 2 | no | — |
| 25 | #65384 | C22 | 1 | 2 | yes | — |
| 26 | #65366 | — | 2 | 1 | no | — |
| 27 | #65351 | C22 | 1 | 2 | yes | — |
| 28 | #65350 | — | 2 | 1 | no | — |
| 29 | C2×#3937 | — | 2 | 1 | no | — |
| 30 | #65041 | C22 | 1 | 8 | yes | — |
| 31 | #65035 | — | 2 | 4 | no | — |
| 32 | C5×#356 | C22 | 1 | 2 | yes | complemented |
| 33 | C5×#355 | C22 | 1 | 2 | yes | complemented |
| 34 | #64698 | C22 | 1 | 8 | yes | complemented |
| 35 | #33571 | — | 5 | 1 | no | maximal, Sylow |
| 36 | C2×C5×#41 | D4 | 1 | 1 | yes | characteristic |
| 37 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 38 | #4150 | — | 4 | 1 | no | — |
| 39 | #4149 | — | 4 | 1 | no | — |
| 40 | D5×#41 | — | 4 | 2 | no | — |
| 41 | #4147 | C23 | 1 | 2 | yes | — |
| 42 | #4144 | — | 2 | 2 | no | — |
| 43 | #4144 | — | 2 | 1 | no | — |
| 44 | C2×#709 | — | 2 | 2 | no | — |
| 45 | C2×#709 | — | 2 | 1 | no | — |
| 46 | C22×Dic10 | — | 2 | 1 | no | — |
| 47 | C22×Dic10 | D4 | 1 | 2 | yes | — |
| 48 | C2×C5×M16 | — | 2 | 2 | no | — |
| 49 | C5×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 50 | C5×#127 | D4 | 1 | 1 | yes | characteristic |
| 51 | C5×#124 | D4 | 1 | 1 | yes | characteristic |
| 52 | C5×#124 | C23 | 1 | 1 | yes | characteristic |
| 53 | C5×#121 | — | 2 | 2 | no | — |
| 54 | C4×C5×D4 | — | 2 | 2 | no | — |
| 55 | C2×C42×C5 | D4 | 1 | 1 | yes | characteristic |
| 56 | #4097 | — | 4 | 1 | no | — |
| 57 | #4096 | — | 4 | 2 | no | — |
| 58 | #4095 | — | 4 | 1 | no | — |
| 59 | #4090 | — | 2 | 2 | no | — |
| 60 | #4090 | C23 | 1 | 4 | yes | — |
| 61 | #4088 | — | 2 | 2 | no | — |
| 62 | #4082 | — | 2 | 4 | no | — |
| 63 | #4082 | — | 2 | 2 | no | — |
| 64 | #4082 | D4 | 1 | 4 | yes | — |
| 65 | #4081 | — | 2 | 2 | no | — |
| 66 | #4081 | — | 2 | 2 | no | — |
| 67 | #4081 | — | 2 | 2 | no | — |
| 68 | #4081 | — | 2 | 2 | no | — |
| 69 | D4×Dic5 | — | 2 | 4 | no | — |
| 70 | #4078 | — | 2 | 2 | no | — |
| 71 | #4072 | — | 2 | 2 | no | — |
| 72 | #4072 | — | 2 | 1 | no | — |
| 73 | #4072 | D4 | 1 | 2 | yes | — |
| 74 | #4070 | — | 2 | 2 | no | — |
| 75 | #4070 | — | 2 | 2 | no | — |
| 76 | #4070 | — | 2 | 2 | no | — |
| 77 | #4070 | — | 2 | 2 | no | — |
| 78 | C2×#681 | — | 2 | 1 | no | — |
| 79 | #4055 | — | 2 | 8 | no | — |
| 80 | #4055 | — | 4 | 4 | no | — |
| 81 | C2×Dic20 | — | 4 | 2 | no | — |
| 82 | C2×#677 | — | 4 | 2 | no | — |
| 83 | #4034 | — | 2 | 4 | no | — |
| 84 | #4033 | — | 2 | 4 | no | — |
| 85 | #4025 | — | 2 | 4 | no | — |
| 86 | #4025 | — | 2 | 4 | no | — |
| 87 | #4024 | — | 2 | 4 | no | — |
| 88 | #4024 | — | 2 | 4 | no | — |
| 89 | #4016 | — | 2 | 2 | no | — |
| 90 | #4015 | — | 2 | 1 | no | — |
| 91 | #4015 | — | 2 | 1 | no | — |
| 92 | C4×Dic10 | — | 2 | 2 | no | — |
| 93 | C4×Dic10 | — | 2 | 2 | no | — |
| 94 | C5×#101 | C23 | 1 | 4 | yes | — |
| 95 | C5×#100 | — | 2 | 2 | no | — |
| 96 | #3968 | C23 | 1 | 2 | yes | — |
| 97 | #3965 | — | 2 | 1 | no | — |
| 98 | #3957 | — | 2 | 8 | no | — |
| 99 | #3937 | — | 2 | 2 | no | — |
| 100 | #3937 | — | 2 | 2 | no | — |
| 101 | #3550 | — | 5 | 1 | no | — |
| 102 | #3022 | — | 5 | 2 | no | — |
| 103 | #3018 | — | 5 | 1 | no | — |
| 104 | #2205 | — | 5 | 4 | no | — |
| 105 | #2203 | — | 5 | 4 | no | — |
| 106 | #2135 | — | 5 | 2 | no | — |
| 107 | #2132 | D5 | 1 | 1 | yes | characteristic, complemented |
| 108 | C5×#41 | — | 4 | 1 | no | — |
| 109 | C5×#41 | — | 4 | 1 | no | — |
| 110 | C5×#41 | — | 4 | 1 | no | — |
| 111 | C5×#41 | — | 4 | 1 | no | — |
| 112 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 114 | C2×C5×D4 | — | 2 | 2 | no | — |
| 115 | C2×C5×D4 | — | 2 | 1 | no | — |
| 116 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 119 | C22×C4×C5 | — | 2 | 1 | no | — |
| 120 | C22×C4×C5 | — | 2 | 1 | no | — |
| 121 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 123 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 124 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 125 | C22×Dic5 | — | 2 | 2 | no | — |
| 126 | C22×Dic5 | — | 2 | 2 | no | — |
| 127 | #713 | — | 4 | 2 | no | — |
| 128 | Q8×D5 | — | 4 | 2 | no | — |
| 129 | #711 | — | 4 | 4 | no | — |
| 130 | #711 | — | 4 | 2 | no | — |
| 131 | D4×D5 | — | 4 | 4 | no | — |
| 132 | D4×D5 | — | 4 | 2 | no | — |
| 133 | #709 | — | 2 | 2 | no | — |
| 134 | #709 | — | 2 | 4 | no | — |
| 135 | #709 | — | 2 | 2 | no | — |
| 136 | #709 | — | 2 | 4 | no | — |
| 137 | #709 | — | 4 | 1 | no | — |
| 138 | #709 | — | 4 | 2 | no | — |
| 139 | #709 | — | 4 | 1 | no | — |
| 140 | C2×D20 | — | 2 | 2 | no | — |
| 141 | C2×D20 | — | 2 | 1 | no | — |
| 142 | C2×C4×D5 | — | 4 | 1 | no | — |
| 143 | C2×C4×D5 | — | 4 | 2 | no | — |
| 144 | C2×Dic10 | — | 2 | 1 | no | — |
| 145 | C2×Dic10 | — | 2 | 2 | no | — |
| 146 | C2×Dic10 | — | 2 | 2 | no | — |
| 147 | C2×Dic10 | — | 2 | 2 | no | — |
| 148 | C2×Dic10 | — | 2 | 2 | no | — |
| 149 | C2×Dic10 | — | 4 | 2 | no | — |
| 150 | C2×Dic10 | — | 4 | 2 | no | — |
| 151 | C2×Dic10 | — | 8 | 1 | no | — |
| 152 | C2×Dic10 | — | 8 | 1 | no | — |
| 153 | C2×Dic10 | C2×D4 | 1 | 4 | yes | — |
| 154 | C5×M16 | — | 2 | 4 | no | — |
| 155 | C5×M16 | — | 4 | 2 | no | — |
| 156 | C2×C5×C8 | — | 4 | 2 | no | — |
| 157 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 158 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 159 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 160 | C42×C5 | — | 2 | 1 | no | — |
| 161 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 164 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 165 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 166 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 167 | C22⋊Dic5 | — | 2 | 4 | no | — |
| 168 | #689 | — | 4 | 2 | no | — |
| 169 | #688 | — | 4 | 2 | no | — |
| 170 | #687 | — | 4 | 2 | no | — |
| 171 | #686 | — | 4 | 2 | no | — |
| 172 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 173 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 174 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 175 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 176 | #683 | — | 2 | 4 | no | — |
| 177 | #683 | — | 2 | 4 | no | — |
| 178 | #683 | — | 2 | 4 | no | — |
| 179 | #683 | — | 2 | 4 | no | — |
| 180 | C4×Dic5 | — | 2 | 4 | no | — |
| 181 | C4×Dic5 | — | 2 | 2 | no | — |
| 182 | C4×Dic5 | C2×D4 | 1 | 4 | yes | — |
| 183 | #681 | — | 2 | 2 | no | — |
| 184 | #681 | — | 4 | 1 | no | — |
| 185 | C2×#168 | — | 4 | 1 | no | — |
| 186 | Dic20 | — | 4 | 8 | no | — |
| 187 | #677 | — | 4 | 8 | no | — |
| 188 | #585 | — | 5 | 1 | no | — |
| 189 | #575 | — | 10 | 1 | no | — |
| 190 | C2×#137 | — | 10 | 2 | no | — |
| 191 | #563 | — | 5 | 2 | no | — |
| 192 | #563 | — | 10 | 1 | no | — |
| 193 | #559 | — | 10 | 1 | no | — |
| 194 | Q82 | — | 5 | 2 | no | — |
| 195 | #556 | — | 10 | 2 | no | — |
| 196 | D4×Q8 | — | 10 | 2 | no | — |
| 197 | #542 | — | 10 | 4 | no | — |
| 198 | #536 | — | 5 | 2 | no | — |
| 199 | #536 | — | 10 | 1 | no | — |
| 200 | #533 | — | 10 | 1 | no | — |
| 201 | #532 | C2×D5 | 1 | 1 | yes | characteristic |
| 202 | #456 | — | 5 | 2 | no | — |
| 203 | #456 | — | 5 | 8 | no | — |
| 204 | #455 | — | 10 | 4 | no | — |
| 205 | #455 | — | 10 | 1 | no | — |
| 206 | #454 | — | 5 | 2 | no | — |
| 207 | #453 | — | 10 | 1 | no | — |
| 208 | #421 | — | 10 | 2 | no | — |
| 209 | C2×#104 | — | 10 | 1 | no | — |
| 210 | #413 | — | 5 | 1 | no | — |
| 211 | #413 | C2×D5 | 1 | 2 | yes | — |
| 212 | #356 | — | 5 | 8 | no | — |
| 213 | #356 | C2×D5 | 1 | 2 | yes | complemented |
| 214 | #355 | C2×D5 | 1 | 2 | yes | complemented |
| 215 | C23×C5 | — | 2 | 1 | no | — |
| 216 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 217 | C23×C5 | #120 | 1 | 2 | yes | — |
| 218 | C22×D5 | — | 4 | 2 | no | — |
| 219 | C22×D5 | — | 4 | 1 | no | — |
| 220 | C5×Q8 | — | 4 | 1 | no | — |
| 221 | C5×Q8 | — | 4 | 1 | no | — |
| 222 | C5×D4 | — | 4 | 1 | no | — |
| 223 | C5×D4 | — | 4 | 2 | no | — |
| 224 | C5×D4 | — | 4 | 1 | no | — |
| 225 | C5×D4 | — | 4 | 4 | no | — |
| 226 | C5×D4 | — | 8 | 1 | no | — |
| 227 | C2×C4×C5 | — | 2 | 1 | no | — |
| 228 | C2×C4×C5 | — | 2 | 1 | no | — |
| 229 | C2×C4×C5 | — | 2 | 1 | no | — |
| 230 | C2×C4×C5 | — | 2 | 2 | no | — |
| 231 | C2×C4×C5 | — | 2 | 2 | no | — |
| 232 | C2×C4×C5 | — | 2 | 1 | no | — |
| 233 | C2×C4×C5 | — | 2 | 1 | no | — |
| 234 | C2×C4×C5 | — | 4 | 2 | no | — |
| 235 | C2×C4×C5 | — | 4 | 1 | no | — |
| 236 | C2×C4×C5 | — | 4 | 1 | no | — |
| 237 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 238 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 240 | C22⋊D5 | — | 4 | 4 | no | — |
| 241 | C22⋊D5 | — | 4 | 2 | no | — |
| 242 | C22⋊D5 | — | 4 | 2 | no | — |
| 243 | C2×Dic5 | — | 2 | 4 | no | — |
| 244 | C2×Dic5 | — | 2 | 4 | no | — |
| 245 | C2×Dic5 | — | 4 | 2 | no | — |
| 246 | C2×Dic5 | — | 4 | 1 | no | — |
| 247 | C2×Dic5 | — | 8 | 2 | no | — |
| 248 | C2×Dic5 | — | 8 | 2 | no | — |
| 249 | D20 | — | 2 | 4 | no | — |
| 250 | D20 | — | 2 | 2 | no | — |
| 251 | D20 | — | 4 | 1 | no | — |
| 252 | C4×D5 | — | 4 | 2 | no | — |
| 253 | C4×D5 | — | 4 | 4 | no | — |
| 254 | C4×D5 | — | 4 | 2 | no | — |
| 255 | Dic10 | — | 2 | 4 | no | — |
| 256 | Dic10 | — | 2 | 2 | no | — |
| 257 | Dic10 | — | 4 | 4 | no | — |
| 258 | Dic10 | — | 4 | 1 | no | — |
| 259 | Dic10 | — | 4 | 2 | no | — |
| 260 | Dic10 | — | 4 | 2 | no | — |
| 261 | Dic10 | — | 4 | 4 | no | — |
| 262 | Dic10 | — | 8 | 2 | no | — |
| 263 | C5×C8 | — | 4 | 4 | no | — |
| 264 | #168 | — | 4 | 2 | no | — |
| 265 | 2−1+4 | — | 5 | 2 | no | — |
| 266 | 2−1+4 | — | 20 | 1 | no | — |
| 267 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 268 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 269 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 270 | C2×#41 | — | 10 | 1 | no | — |
| 271 | C2×#41 | — | 10 | 2 | no | — |
| 272 | C2×#41 | — | 20 | 2 | no | — |
| 273 | C2×#41 | D20 | 1 | 1 | yes | characteristic |
| 274 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 275 | C22×Q8 | — | 5 | 2 | no | — |
| 276 | C22×Q8 | — | 10 | 1 | no | — |
| 277 | #137 | — | 10 | 8 | no | — |
| 278 | #137 | — | 10 | 2 | no | — |
| 279 | #137 | — | 20 | 4 | no | — |
| 280 | #137 | — | 20 | 1 | no | — |
| 281 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 282 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 283 | #135 | — | 20 | 2 | no | — |
| 284 | C2×Q16 | — | 20 | 2 | no | — |
| 285 | C2×SD16 | — | 20 | 2 | no | — |
| 286 | C2×M16 | — | 2 | 2 | no | — |
| 287 | C2×M16 | — | 10 | 1 | no | — |
| 288 | C4⋊Q8 | — | 5 | 4 | no | — |
| 289 | C4⋊Q8 | — | 10 | 1 | no | — |
| 290 | C4⋊Q8 | — | 10 | 1 | no | — |
| 291 | C4⋊Q8 | — | 10 | 4 | no | — |
| 292 | C4⋊Q8 | — | 10 | 2 | no | — |
| 293 | C4⋊Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 294 | #127 | D20 | 1 | 1 | yes | characteristic |
| 295 | #126 | — | 10 | 4 | no | — |
| 296 | #126 | — | 10 | 4 | no | — |
| 297 | #125 | — | 10 | 2 | no | — |
| 298 | #124 | — | 5 | 4 | no | — |
| 299 | #124 | — | 10 | 2 | no | — |
| 300 | #124 | — | 10 | 4 | no | — |
| 301 | #124 | D20 | 1 | 1 | yes | characteristic |
| 302 | #124 | C22×D5 | 1 | 1 | yes | characteristic |
| 303 | #123 | — | 10 | 2 | no | — |
| 304 | #123 | — | 10 | 2 | no | — |
| 305 | #123 | — | 10 | 2 | no | — |
| 306 | #123 | — | 10 | 2 | no | — |
| 307 | C22⋊Q8 | — | 10 | 4 | no | — |
| 308 | C22⋊Q8 | — | 10 | 4 | no | — |
| 309 | C22⋊Q8 | — | 10 | 2 | no | — |
| 310 | C22⋊Q8 | — | 10 | 2 | no | — |
| 311 | C22⋊Q8 | — | 10 | 2 | no | — |
| 312 | C22⋊Q8 | — | 10 | 2 | no | — |
| 313 | #121 | — | 2 | 2 | no | — |
| 314 | C4×Q8 | — | 10 | 2 | no | — |
| 315 | C4×Q8 | — | 10 | 4 | no | — |
| 316 | C4×Q8 | — | 10 | 2 | no | — |
| 317 | C4×D4 | — | 2 | 2 | no | — |
| 318 | C4×D4 | — | 10 | 4 | no | — |
| 319 | #117 | — | 5 | 2 | no | — |
| 320 | #117 | — | 10 | 2 | no | — |
| 321 | #117 | — | 10 | 1 | no | — |
| 322 | C2×C42 | D20 | 1 | 1 | yes | characteristic |
| 323 | #104 | — | 10 | 8 | no | — |
| 324 | #104 | — | 10 | 2 | no | — |
| 325 | #104 | — | 10 | 2 | no | — |
| 326 | #101 | — | 5 | 2 | no | — |
| 327 | #101 | C22×D5 | 1 | 4 | yes | — |
| 328 | #100 | — | 2 | 2 | no | — |
| 329 | #100 | — | 10 | 1 | no | — |
| 330 | C22×C5 | — | 2 | 2 | no | — |
| 331 | C22×C5 | — | 2 | 1 | no | — |
| 332 | C22×C5 | — | 4 | 1 | no | — |
| 333 | C22×C5 | — | 4 | 2 | no | — |
| 334 | C22×C5 | — | 4 | 2 | no | — |
| 335 | C22×C5 | — | 4 | 1 | no | — |
| 336 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 337 | C2×D5 | — | 4 | 2 | no | — |
| 338 | C2×D5 | — | 16 | 2 | no | — |
| 339 | C2×D5 | — | 16 | 1 | no | — |
| 340 | C4×C5 | — | 2 | 2 | no | — |
| 341 | C4×C5 | — | 2 | 1 | no | — |
| 342 | C4×C5 | — | 2 | 2 | no | — |
| 343 | C4×C5 | — | 4 | 1 | no | — |
| 344 | C4×C5 | — | 4 | 1 | no | — |
| 345 | C4×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 346 | C4×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 347 | Dic5 | — | 4 | 4 | no | — |
| 348 | Dic5 | — | 4 | 2 | no | — |
| 349 | Dic5 | — | 4 | 4 | no | — |
| 350 | #41 | — | 4 | 1 | no | — |
| 351 | #41 | — | 4 | 1 | no | — |
| 352 | #41 | — | 4 | 1 | no | — |
| 353 | #41 | — | 4 | 1 | no | — |
| 354 | #41 | — | 10 | 2 | no | — |
| 355 | #41 | — | 10 | 4 | no | — |
| 356 | #41 | — | 10 | 2 | no | — |
| 357 | #41 | — | 10 | 4 | no | — |
| 358 | #41 | — | 20 | 2 | no | — |
| 359 | #41 | — | 20 | 1 | no | — |
| 360 | #41 | — | 20 | 2 | no | — |
| 361 | #41 | — | 20 | 4 | no | — |
| 362 | #41 | — | 20 | 2 | no | — |
| 363 | #41 | — | 20 | 1 | no | — |
| 364 | C2×Q8 | — | 5 | 4 | no | — |
| 365 | C2×Q8 | — | 10 | 2 | no | — |
| 366 | C2×Q8 | — | 10 | 2 | no | — |
| 367 | C2×Q8 | — | 10 | 2 | no | — |
| 368 | C2×Q8 | — | 10 | 1 | no | — |
| 369 | C2×Q8 | — | 10 | 2 | no | — |
| 370 | C2×Q8 | — | 20 | 2 | no | — |
| 371 | C2×Q8 | — | 20 | 2 | no | — |
| 372 | C2×Q8 | — | 20 | 2 | no | — |
| 373 | C2×Q8 | — | 40 | 1 | no | — |
| 374 | C2×Q8 | — | 40 | 1 | no | — |
| 375 | C2×Q8 | C2×D20 | 1 | 1 | yes | characteristic |
| 376 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 377 | C2×D4 | — | 2 | 2 | no | — |
| 378 | C2×D4 | — | 2 | 1 | no | — |
| 379 | C2×D4 | — | 10 | 2 | no | — |
| 380 | C2×D4 | — | 10 | 1 | no | — |
| 381 | C2×D4 | — | 20 | 2 | no | — |
| 382 | C2×D4 | — | 20 | 4 | no | — |
| 383 | C2×D4 | — | 20 | 2 | no | — |
| 384 | C2×D4 | — | 20 | 1 | no | — |
| 385 | C2×D4 | C2×D20 | 1 | 1 | yes | characteristic |
| 386 | C2×D4 | C2×D20 | 1 | 1 | yes | characteristic |
| 387 | C2×D4 | D4×D5 | 1 | 2 | yes | — |
| 388 | C22×C4 | — | 2 | 1 | no | — |
| 389 | C22×C4 | — | 2 | 1 | no | — |
| 390 | C22×C4 | — | 10 | 2 | no | — |
| 391 | C22×C4 | — | 10 | 2 | no | — |
| 392 | C22×C4 | — | 20 | 1 | no | — |
| 393 | C22×C4 | — | 20 | 2 | no | — |
| 394 | C22×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 395 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 396 | Q16 | — | 20 | 8 | no | — |
| 397 | Q16 | — | 20 | 2 | no | — |
| 398 | SD16 | — | 20 | 8 | no | — |
| 399 | SD16 | — | 20 | 2 | no | — |
| 400 | SD16 | — | 20 | 2 | no | — |
| 401 | D8 | — | 20 | 2 | no | — |
| 402 | M16 | — | 2 | 4 | no | — |
| 403 | M16 | — | 4 | 2 | no | — |
| 404 | M16 | — | 10 | 2 | no | — |
| 405 | M16 | — | 20 | 1 | no | — |
| 406 | C2×C8 | — | 4 | 2 | no | — |
| 407 | C2×C8 | — | 20 | 1 | no | — |
| 408 | C4⋊C4 | — | 2 | 2 | no | — |
| 409 | C4⋊C4 | — | 10 | 2 | no | — |
| 410 | C4⋊C4 | — | 10 | 2 | no | — |
| 411 | C4⋊C4 | — | 10 | 2 | no | — |
| 412 | C4⋊C4 | — | 10 | 4 | no | — |
| 413 | C4⋊C4 | — | 10 | 4 | no | — |
| 414 | C4⋊C4 | — | 10 | 4 | no | — |
| 415 | C4⋊C4 | — | 10 | 4 | no | — |
| 416 | C4⋊C4 | — | 10 | 2 | no | — |
| 417 | C22⋊C4 | — | 2 | 2 | no | — |
| 418 | C22⋊C4 | — | 2 | 2 | no | — |
| 419 | C22⋊C4 | — | 10 | 2 | no | — |
| 420 | C22⋊C4 | — | 10 | 4 | no | — |
| 421 | C22⋊C4 | — | 10 | 2 | no | — |
| 422 | C22⋊C4 | — | 10 | 4 | no | — |
| 423 | C22⋊C4 | — | 10 | 4 | no | — |
| 424 | C42 | — | 2 | 1 | no | — |
| 425 | C42 | — | 5 | 4 | no | — |
| 426 | C42 | — | 10 | 4 | no | — |
| 427 | C42 | — | 10 | 2 | no | — |
| 428 | C42 | C2×D20 | 1 | 1 | yes | characteristic |
| 429 | C42 | C2×D20 | 1 | 1 | yes | characteristic |
| 430 | C2×C5 | — | 2 | 1 | no | — |
| 431 | C2×C5 | — | 4 | 2 | no | — |
| 432 | C2×C5 | — | 4 | 1 | no | — |
| 433 | C2×C5 | — | 8 | 1 | no | — |
| 434 | C2×C5 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 435 | D5 | — | 8 | 2 | no | — |
| 436 | C23 | — | 2 | 1 | no | — |
| 437 | C23 | — | 20 | 2 | no | — |
| 438 | C23 | — | 20 | 1 | no | — |
| 439 | C23 | #4028 | 1 | 2 | yes | — |
| 440 | C23 | #4028 | 1 | 1 | yes | characteristic |
| 441 | Q8 | — | 4 | 1 | no | — |
| 442 | Q8 | — | 4 | 1 | no | — |
| 443 | Q8 | — | 10 | 2 | no | — |
| 444 | Q8 | — | 10 | 4 | no | — |
| 445 | Q8 | — | 20 | 4 | no | — |
| 446 | Q8 | — | 20 | 4 | no | — |
| 447 | Q8 | — | 20 | 1 | no | — |
| 448 | Q8 | — | 20 | 2 | no | — |
| 449 | Q8 | — | 20 | 2 | no | — |
| 450 | Q8 | — | 40 | 2 | no | — |
| 451 | D4 | — | 4 | 1 | no | — |
| 452 | D4 | — | 4 | 2 | no | — |
| 453 | D4 | — | 4 | 1 | no | — |
| 454 | D4 | — | 4 | 4 | no | — |
| 455 | D4 | — | 8 | 1 | no | — |
| 456 | D4 | — | 10 | 2 | no | — |
| 457 | D4 | — | 10 | 4 | no | — |
| 458 | D4 | — | 20 | 4 | no | — |
| 459 | D4 | — | 20 | 2 | no | — |
| 460 | D4 | — | 20 | 2 | no | — |
| 461 | D4 | — | 20 | 1 | no | — |
| 462 | C2×C4 | — | 2 | 1 | no | — |
| 463 | C2×C4 | — | 2 | 2 | no | — |
| 464 | C2×C4 | — | 2 | 1 | no | — |
| 465 | C2×C4 | — | 2 | 2 | no | — |
| 466 | C2×C4 | — | 2 | 1 | no | — |
| 467 | C2×C4 | — | 2 | 1 | no | — |
| 468 | C2×C4 | — | 2 | 1 | no | — |
| 469 | C2×C4 | — | 4 | 2 | no | — |
| 470 | C2×C4 | — | 4 | 1 | no | — |
| 471 | C2×C4 | — | 4 | 1 | no | — |
| 472 | C2×C4 | — | 10 | 4 | no | — |
| 473 | C2×C4 | — | 10 | 4 | no | — |
| 474 | C2×C4 | — | 20 | 4 | no | — |
| 475 | C2×C4 | — | 20 | 2 | no | — |
| 476 | C2×C4 | — | 20 | 2 | no | — |
| 477 | C2×C4 | — | 20 | 1 | no | — |
| 478 | C2×C4 | — | 20 | 2 | no | — |
| 479 | C2×C4 | — | 40 | 2 | no | — |
| 480 | C2×C4 | — | 40 | 2 | no | — |
| 481 | C2×C4 | #4028 | 1 | 1 | yes | characteristic |
| 482 | C2×C4 | C22×D20 | 1 | 1 | yes | characteristic |
| 483 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 484 | C8 | — | 4 | 4 | no | — |
| 485 | C8 | — | 20 | 2 | no | — |
| 486 | C5 | #33571 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 487 | C22 | — | 2 | 2 | no | — |
| 488 | C22 | — | 2 | 1 | no | — |
| 489 | C22 | — | 4 | 1 | no | — |
| 490 | C22 | — | 4 | 2 | no | — |
| 491 | C22 | — | 4 | 2 | no | — |
| 492 | C22 | — | 4 | 1 | no | — |
| 493 | C22 | — | 20 | 2 | no | — |
| 494 | C22 | — | 80 | 2 | no | — |
| 495 | C22 | — | 80 | 1 | no | — |
| 496 | C22 | C2×#4028 | 1 | 1 | yes | characteristic |
| 497 | C4 | — | 2 | 2 | no | — |
| 498 | C4 | — | 2 | 2 | no | — |
| 499 | C4 | — | 2 | 1 | no | — |
| 500 | C4 | — | 4 | 1 | no | — |
| 501 | C4 | — | 4 | 1 | no | — |
| 502 | C4 | — | 20 | 4 | no | — |
| 503 | C4 | — | 20 | 4 | no | — |
| 504 | C4 | — | 20 | 2 | no | — |
| 505 | C4 | #65030 | 1 | 1 | yes | characteristic |
| 506 | C4 | #65030 | 1 | 1 | yes | characteristic |
| 507 | C2 | — | 2 | 1 | no | — |
| 508 | C2 | — | 4 | 2 | no | — |
| 509 | C2 | — | 4 | 1 | no | — |
| 510 | C2 | — | 8 | 1 | no | — |
| 511 | C2 | — | 40 | 2 | no | — |
| 512 | C2 | C2×#65030 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618132 | C2 | semidirect |
| 3. #10610449 | C2 | semidirect |
| 4. C5×#2132 | C2 | semidirect |
| 5. #10600943 | C2 | semidirect |
| 6. #10599962 | C2 | semidirect |
| 7. #10599955 | C2 | semidirect |
| 14. #66056 | C22 | semidirect |
| 17. #66006 | C22 | semidirect |
| 32. C5×#356 | C22 | semidirect |
| 33. C5×#355 | C22 | semidirect |
| 34. #64698 | C22 | semidirect |
| 107. #2132 | D5 | semidirect |
| 213. #356 | C2×D5 | semidirect |
| 214. #355 | C2×D5 | semidirect |
| 486. C5 | #33571 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618132 | 2 |
| #10615053 | 2 |
| #10610449 | 2 |
| C5×#2132 | 2 |
| #10600943 | 2 |
| #10599962 | 2 |
| #10599955 | 2 |
| #33571 | 5 |