Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1130 conjugacy classes of subgroups.
The subgroup lattice has 578 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66091 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C5×#509 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615659 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10615625 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#64783 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10602283 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10602264 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10602241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10602230 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#4144 | — | 2 | 1 | no | — |
| 11 | C2×C5×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C22×C5×D8 | C22 | 1 | 1 | yes | characteristic |
| 13 | #66156 | — | 2 | 1 | no | — |
| 14 | C2×#4078 | — | 2 | 1 | no | — |
| 15 | #66091 | — | 2 | 2 | no | — |
| 16 | #66091 | — | 2 | 2 | no | — |
| 17 | #66091 | — | 2 | 2 | no | — |
| 18 | #66091 | C22 | 1 | 4 | yes | — |
| 19 | C2×#4058 | — | 2 | 1 | no | — |
| 20 | C2×#4057 | — | 2 | 2 | no | — |
| 21 | C2×D5×D8 | — | 2 | 1 | no | — |
| 22 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 24 | C5×#509 | — | 2 | 2 | no | — |
| 25 | C5×#509 | — | 2 | 2 | no | — |
| 26 | C2×C5×SD32 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×C5×D16 | C22 | 1 | 2 | yes | complemented |
| 28 | C2×C5×M32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #65526 | — | 2 | 1 | no | — |
| 30 | #65484 | — | 2 | 1 | no | — |
| 31 | #65483 | — | 2 | 2 | no | — |
| 32 | #65482 | — | 2 | 1 | no | — |
| 33 | #65481 | C22 | 1 | 2 | yes | complemented |
| 34 | #65468 | C22 | 1 | 2 | yes | complemented |
| 35 | #65466 | — | 2 | 2 | no | — |
| 36 | #65449 | C22 | 1 | 2 | yes | complemented |
| 37 | #65436 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#3951 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#3944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #64783 | C22 | 1 | 4 | yes | complemented |
| 41 | #64730 | C22 | 1 | 4 | yes | complemented |
| 42 | #64728 | C22 | 1 | 4 | yes | complemented |
| 43 | #33539 | — | 5 | 1 | no | maximal, Sylow |
| 44 | C2×C5×#41 | — | 2 | 1 | no | — |
| 45 | C22×C5×D4 | — | 2 | 1 | no | — |
| 46 | C22×C22⋊D5 | — | 4 | 2 | no | — |
| 47 | #4144 | — | 2 | 4 | no | — |
| 48 | #4144 | — | 2 | 4 | no | — |
| 49 | #4144 | — | 4 | 2 | no | — |
| 50 | #4144 | — | 4 | 2 | no | — |
| 51 | C2×#711 | — | 2 | 2 | no | — |
| 52 | C2×#711 | — | 4 | 1 | no | — |
| 53 | C2×D4×D5 | — | 2 | 2 | no | — |
| 54 | C2×D4×D5 | — | 4 | 1 | no | — |
| 55 | C2×#709 | — | 2 | 1 | no | — |
| 56 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 57 | C5×#135 | — | 2 | 1 | no | — |
| 58 | C5×#135 | — | 2 | 1 | no | — |
| 59 | C5×#135 | — | 2 | 1 | no | — |
| 60 | C5×#135 | — | 2 | 1 | no | — |
| 61 | C2×C5×Q16 | C23 | 1 | 1 | yes | characteristic, complemented |
| 62 | C2×C5×SD16 | — | 2 | 1 | no | — |
| 63 | C2×C5×D8 | — | 2 | 1 | no | — |
| 64 | C2×C5×D8 | — | 2 | 1 | no | — |
| 65 | C2×C5×D8 | — | 2 | 1 | no | — |
| 66 | C2×C5×D8 | D4 | 1 | 2 | yes | — |
| 67 | C2×C5×D8 | D4 | 1 | 2 | yes | — |
| 68 | C2×C5×D8 | C23 | 1 | 2 | yes | — |
| 69 | C2×C5×D8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 70 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 71 | #4097 | — | 4 | 1 | no | — |
| 72 | #4096 | — | 4 | 2 | no | — |
| 73 | #4095 | — | 4 | 1 | no | — |
| 74 | #4088 | — | 2 | 2 | no | — |
| 75 | C2×#687 | — | 2 | 2 | no | — |
| 76 | #4078 | — | 2 | 4 | no | — |
| 77 | #4078 | — | 2 | 2 | no | — |
| 78 | #4078 | — | 2 | 4 | no | — |
| 79 | C2×#686 | — | 2 | 2 | no | — |
| 80 | C2×#681 | — | 2 | 1 | no | — |
| 81 | C2×#681 | D4 | 1 | 1 | yes | characteristic |
| 82 | #4058 | — | 2 | 4 | no | — |
| 83 | #4058 | — | 2 | 4 | no | — |
| 84 | #4057 | — | 2 | 8 | no | — |
| 85 | #4057 | — | 2 | 8 | no | — |
| 86 | D5×D8 | — | 2 | 4 | no | — |
| 87 | D5×D8 | — | 2 | 4 | no | — |
| 88 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 89 | #4050 | — | 2 | 1 | no | — |
| 90 | #4050 | — | 2 | 1 | no | — |
| 91 | #4050 | D4 | 1 | 2 | yes | — |
| 92 | #4050 | C23 | 1 | 2 | yes | — |
| 93 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 94 | C2×#677 | — | 2 | 1 | no | — |
| 95 | #4047 | — | 2 | 1 | no | — |
| 96 | #4047 | — | 2 | 1 | no | — |
| 97 | #4047 | D4 | 1 | 2 | yes | — |
| 98 | #4047 | C23 | 1 | 2 | yes | — |
| 99 | C2×#676 | — | 2 | 1 | no | — |
| 100 | C2×C8×D5 | — | 2 | 1 | no | — |
| 101 | C5×SD32 | — | 2 | 4 | no | — |
| 102 | C5×D16 | — | 2 | 4 | no | — |
| 103 | C5×M32 | — | 2 | 1 | no | — |
| 104 | C5×M32 | — | 2 | 1 | no | — |
| 105 | C2×C5×C16 | C23 | 1 | 2 | yes | complemented |
| 106 | #3968 | — | 2 | 2 | no | — |
| 107 | #3965 | — | 2 | 2 | no | — |
| 108 | #3961 | — | 2 | 2 | no | — |
| 109 | #3960 | — | 2 | 2 | no | — |
| 110 | #3959 | — | 2 | 2 | no | — |
| 111 | #3958 | — | 2 | 2 | no | — |
| 112 | #3951 | — | 2 | 1 | no | — |
| 113 | #3951 | C23 | 1 | 2 | yes | complemented |
| 114 | #3944 | — | 2 | 1 | no | — |
| 115 | #3944 | C23 | 1 | 2 | yes | complemented |
| 116 | C2×#672 | — | 2 | 1 | no | — |
| 117 | C2×#576 | — | 5 | 1 | no | — |
| 118 | #3414 | — | 5 | 1 | no | — |
| 119 | C2×#509 | D5 | 1 | 1 | yes | characteristic, complemented |
| 120 | #3067 | — | 5 | 1 | no | — |
| 121 | #2194 | — | 5 | 4 | no | — |
| 122 | #2192 | — | 5 | 4 | no | — |
| 123 | C2×#361 | — | 5 | 1 | no | — |
| 124 | #2143 | — | 5 | 1 | no | — |
| 125 | #2117 | — | 5 | 1 | no | — |
| 126 | C24×C5 | — | 4 | 1 | no | — |
| 127 | C23×D5 | — | 4 | 2 | no | — |
| 128 | C5×#41 | — | 4 | 1 | no | — |
| 129 | C5×#41 | — | 4 | 1 | no | — |
| 130 | C5×#41 | — | 4 | 1 | no | — |
| 131 | C5×#41 | — | 4 | 1 | no | — |
| 132 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 133 | C2×C5×D4 | — | 2 | 2 | no | — |
| 134 | C2×C5×D4 | — | 2 | 2 | no | — |
| 135 | C2×C5×D4 | — | 2 | 2 | no | — |
| 136 | C2×C5×D4 | — | 2 | 1 | no | — |
| 137 | C2×C5×D4 | — | 4 | 1 | no | — |
| 138 | C2×C5×D4 | — | 4 | 1 | no | — |
| 139 | C2×C5×D4 | — | 4 | 1 | no | — |
| 140 | C2×C5×D4 | — | 4 | 1 | no | — |
| 141 | C22×C4×C5 | — | 4 | 1 | no | — |
| 142 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 144 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 145 | C2×C22⋊D5 | — | 4 | 8 | no | — |
| 146 | C2×C22⋊D5 | — | 4 | 8 | no | — |
| 147 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 148 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 149 | C22×Dic5 | — | 4 | 2 | no | — |
| 150 | #711 | — | 2 | 8 | no | — |
| 151 | #711 | — | 4 | 4 | no | — |
| 152 | #711 | — | 4 | 4 | no | — |
| 153 | #711 | — | 4 | 4 | no | — |
| 154 | D4×D5 | — | 2 | 8 | no | — |
| 155 | D4×D5 | — | 4 | 4 | no | — |
| 156 | D4×D5 | — | 4 | 4 | no | — |
| 157 | D4×D5 | — | 4 | 4 | no | — |
| 158 | #709 | — | 2 | 1 | no | — |
| 159 | #709 | — | 2 | 1 | no | — |
| 160 | #709 | — | 2 | 2 | no | — |
| 161 | #709 | — | 2 | 2 | no | — |
| 162 | #709 | — | 4 | 1 | no | — |
| 163 | #709 | — | 4 | 1 | no | — |
| 164 | #709 | D8 | 1 | 2 | yes | — |
| 165 | #709 | C2×D4 | 1 | 2 | yes | — |
| 166 | C2×D20 | — | 2 | 1 | no | — |
| 167 | C2×D20 | D8 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×D5 | — | 2 | 1 | no | — |
| 169 | C2×C4×D5 | — | 4 | 1 | no | — |
| 170 | C2×Dic10 | — | 2 | 1 | no | — |
| 171 | C2×Dic10 | D8 | 1 | 1 | yes | characteristic |
| 172 | C5×Q16 | — | 2 | 1 | no | — |
| 173 | C5×Q16 | — | 2 | 1 | no | — |
| 174 | C5×SD16 | — | 4 | 1 | no | — |
| 175 | C5×SD16 | — | 4 | 1 | no | — |
| 176 | C5×D8 | — | 2 | 2 | no | — |
| 177 | C5×D8 | — | 2 | 2 | no | — |
| 178 | C5×D8 | — | 2 | 2 | no | — |
| 179 | C5×D8 | — | 2 | 1 | no | — |
| 180 | C5×D8 | — | 2 | 1 | no | — |
| 181 | C5×D8 | C2×D4 | 1 | 4 | yes | — |
| 182 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 188 | #689 | — | 4 | 2 | no | — |
| 189 | #688 | — | 4 | 2 | no | — |
| 190 | #687 | — | 2 | 8 | no | — |
| 191 | #687 | — | 4 | 2 | no | — |
| 192 | #686 | — | 2 | 8 | no | — |
| 193 | #686 | — | 4 | 2 | no | — |
| 194 | #681 | — | 2 | 1 | no | — |
| 195 | #681 | — | 2 | 2 | no | — |
| 196 | #681 | — | 4 | 1 | no | — |
| 197 | #681 | C2×D4 | 1 | 2 | yes | — |
| 198 | C2×#168 | — | 2 | 1 | no | — |
| 199 | C2×#168 | — | 4 | 1 | no | — |
| 200 | Dic20 | — | 2 | 1 | no | — |
| 201 | Dic20 | C2×D4 | 1 | 2 | yes | — |
| 202 | D40 | — | 2 | 1 | no | — |
| 203 | D40 | C2×D4 | 1 | 2 | yes | — |
| 204 | #677 | — | 2 | 2 | no | — |
| 205 | #677 | — | 2 | 2 | no | — |
| 206 | #676 | — | 2 | 2 | no | — |
| 207 | #676 | — | 2 | 2 | no | — |
| 208 | C8×D5 | — | 2 | 2 | no | — |
| 209 | C8×D5 | — | 2 | 2 | no | — |
| 210 | C5×C16 | — | 2 | 2 | no | — |
| 211 | #672 | — | 2 | 2 | no | — |
| 212 | C2×H(5,𝔽2) | — | 10 | 1 | no | — |
| 213 | #576 | — | 5 | 4 | no | — |
| 214 | #576 | — | 10 | 2 | no | — |
| 215 | #576 | — | 10 | 2 | no | — |
| 216 | #576 | — | 10 | 2 | no | — |
| 217 | #575 | — | 10 | 1 | no | — |
| 218 | C2×AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 219 | C2×AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 220 | C2×#135 | — | 5 | 1 | no | — |
| 221 | C2×#135 | — | 10 | 1 | no | — |
| 222 | C2×#135 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 223 | C22×D8 | — | 10 | 1 | no | — |
| 224 | C22×D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 225 | C2×#131 | — | 5 | 1 | no | — |
| 226 | #510 | — | 5 | 2 | no | — |
| 227 | #510 | — | 10 | 1 | no | — |
| 228 | #509 | — | 2 | 2 | no | — |
| 229 | #509 | — | 2 | 2 | no | — |
| 230 | #509 | — | 5 | 2 | no | — |
| 231 | #509 | — | 10 | 1 | no | — |
| 232 | #508 | — | 10 | 2 | no | — |
| 233 | C2×SD32 | C2×D5 | 1 | 2 | yes | complemented |
| 234 | C2×D16 | C2×D5 | 1 | 2 | yes | complemented |
| 235 | C2×M32 | — | 5 | 1 | no | — |
| 236 | C2×M32 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 237 | #473 | — | 5 | 2 | no | — |
| 238 | #472 | — | 5 | 2 | no | — |
| 239 | #471 | — | 10 | 2 | no | — |
| 240 | C2×#108 | — | 5 | 1 | no | — |
| 241 | #413 | — | 10 | 1 | no | — |
| 242 | #361 | — | 5 | 4 | no | — |
| 243 | #359 | — | 5 | 4 | no | — |
| 244 | #350 | — | 5 | 4 | no | — |
| 245 | C23×C5 | — | 4 | 2 | no | — |
| 246 | C23×C5 | — | 4 | 2 | no | — |
| 247 | C23×C5 | — | 4 | 2 | no | — |
| 248 | C23×C5 | — | 4 | 1 | no | — |
| 249 | C23×C5 | — | 16 | 2 | no | — |
| 250 | C23×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 251 | C22×D5 | — | 2 | 1 | no | — |
| 252 | C22×D5 | — | 4 | 8 | no | — |
| 253 | C22×D5 | — | 4 | 1 | no | — |
| 254 | C22×D5 | — | 16 | 4 | no | — |
| 255 | C5×Q8 | — | 4 | 1 | no | — |
| 256 | C5×Q8 | — | 4 | 1 | no | — |
| 257 | C5×D4 | — | 2 | 4 | no | — |
| 258 | C5×D4 | — | 4 | 1 | no | — |
| 259 | C5×D4 | — | 4 | 2 | no | — |
| 260 | C5×D4 | — | 4 | 1 | no | — |
| 261 | C5×D4 | — | 4 | 2 | no | — |
| 262 | C5×D4 | — | 4 | 2 | no | — |
| 263 | C5×D4 | — | 8 | 1 | no | — |
| 264 | C5×D4 | — | 8 | 1 | no | — |
| 265 | C2×C4×C5 | — | 4 | 1 | no | — |
| 266 | C2×C4×C5 | — | 8 | 1 | no | — |
| 267 | C2×C4×C5 | — | 8 | 1 | no | — |
| 268 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 269 | C2×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 270 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 271 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 272 | C2×C4×C5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 273 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 274 | C22⋊D5 | — | 2 | 2 | no | — |
| 275 | C22⋊D5 | — | 2 | 2 | no | — |
| 276 | C22⋊D5 | — | 4 | 8 | no | — |
| 277 | C22⋊D5 | — | 4 | 8 | no | — |
| 278 | C22⋊D5 | — | 4 | 2 | no | — |
| 279 | C22⋊D5 | — | 4 | 2 | no | — |
| 280 | C2×Dic5 | — | 2 | 1 | no | — |
| 281 | C2×Dic5 | — | 4 | 8 | no | — |
| 282 | C2×Dic5 | — | 4 | 1 | no | — |
| 283 | D20 | — | 2 | 2 | no | — |
| 284 | D20 | — | 2 | 1 | no | — |
| 285 | D20 | — | 4 | 1 | no | — |
| 286 | D20 | C2×D8 | 1 | 2 | yes | — |
| 287 | C4×D5 | — | 2 | 2 | no | — |
| 288 | C4×D5 | — | 2 | 2 | no | — |
| 289 | C4×D5 | — | 4 | 2 | no | — |
| 290 | C4×D5 | — | 4 | 2 | no | — |
| 291 | Dic10 | — | 2 | 1 | no | — |
| 292 | Dic10 | — | 2 | 2 | no | — |
| 293 | Dic10 | — | 4 | 1 | no | — |
| 294 | Dic10 | C2×D8 | 1 | 2 | yes | — |
| 295 | C5×C8 | #120 | 1 | 1 | yes | characteristic |
| 296 | C5×C8 | #120 | 1 | 1 | yes | characteristic |
| 297 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 298 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 299 | #168 | — | 2 | 2 | no | — |
| 300 | #168 | — | 4 | 2 | no | — |
| 301 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 302 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 303 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 304 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 305 | C2×#41 | — | 2 | 1 | no | — |
| 306 | C2×#41 | — | 5 | 1 | no | — |
| 307 | C2×#41 | — | 10 | 2 | no | — |
| 308 | C2×#41 | — | 10 | 1 | no | — |
| 309 | C2×#41 | — | 20 | 1 | no | — |
| 310 | C22×D4 | — | 2 | 1 | no | — |
| 311 | C22×D4 | — | 10 | 2 | no | — |
| 312 | C22×D4 | — | 20 | 1 | no | — |
| 313 | C22×D4 | — | 20 | 2 | no | — |
| 314 | #137 | — | 10 | 2 | no | — |
| 315 | #137 | — | 20 | 1 | no | — |
| 316 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 317 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 318 | AGL(1,ℤ/8) | — | 10 | 4 | no | — |
| 319 | AGL(1,ℤ/8) | — | 10 | 8 | no | — |
| 320 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 321 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 322 | #135 | — | 2 | 1 | no | — |
| 323 | #135 | — | 2 | 1 | no | — |
| 324 | #135 | — | 2 | 1 | no | — |
| 325 | #135 | — | 2 | 1 | no | — |
| 326 | #135 | — | 5 | 2 | no | — |
| 327 | #135 | — | 5 | 2 | no | — |
| 328 | #135 | — | 10 | 4 | no | — |
| 329 | #135 | — | 10 | 4 | no | — |
| 330 | #135 | — | 10 | 1 | no | — |
| 331 | #135 | — | 10 | 1 | no | — |
| 332 | #135 | — | 20 | 2 | no | — |
| 333 | C2×Q16 | — | 5 | 1 | no | — |
| 334 | C2×Q16 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 335 | C2×SD16 | — | 2 | 1 | no | — |
| 336 | C2×SD16 | — | 10 | 2 | no | — |
| 337 | C2×SD16 | — | 10 | 1 | no | — |
| 338 | C2×D8 | — | 2 | 1 | no | — |
| 339 | C2×D8 | — | 2 | 1 | no | — |
| 340 | C2×D8 | — | 2 | 1 | no | — |
| 341 | C2×D8 | — | 5 | 1 | no | — |
| 342 | C2×D8 | — | 10 | 4 | no | — |
| 343 | C2×D8 | — | 10 | 4 | no | — |
| 344 | C2×D8 | — | 10 | 2 | no | — |
| 345 | C2×D8 | C22⋊D5 | 1 | 2 | yes | — |
| 346 | C2×D8 | C22⋊D5 | 1 | 2 | yes | — |
| 347 | C2×D8 | C22×D5 | 1 | 2 | yes | — |
| 348 | C2×D8 | C22×D5 | 1 | 1 | yes | characteristic, complemented |
| 349 | #131 | — | 5 | 2 | no | — |
| 350 | #131 | — | 5 | 2 | no | — |
| 351 | #131 | — | 10 | 1 | no | — |
| 352 | #131 | — | 10 | 1 | no | — |
| 353 | C2×M16 | — | 5 | 1 | no | — |
| 354 | C2×M16 | — | 10 | 1 | no | — |
| 355 | C2×M16 | — | 10 | 1 | no | — |
| 356 | C22×C8 | — | 10 | 1 | no | — |
| 357 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 358 | Q32 | — | 10 | 2 | no | — |
| 359 | SD32 | — | 2 | 4 | no | — |
| 360 | SD32 | — | 10 | 2 | no | — |
| 361 | SD32 | — | 10 | 2 | no | — |
| 362 | D16 | — | 2 | 4 | no | — |
| 363 | D16 | — | 10 | 2 | no | — |
| 364 | M32 | — | 2 | 1 | no | — |
| 365 | M32 | — | 2 | 1 | no | — |
| 366 | M32 | — | 5 | 2 | no | — |
| 367 | M32 | — | 10 | 1 | no | — |
| 368 | C2×C16 | — | 10 | 1 | no | — |
| 369 | C2×C16 | C22×D5 | 1 | 2 | yes | complemented |
| 370 | #108 | — | 5 | 2 | no | — |
| 371 | #108 | — | 10 | 1 | no | — |
| 372 | #101 | — | 10 | 2 | no | — |
| 373 | #100 | — | 10 | 2 | no | — |
| 374 | C22×C5 | — | 4 | 1 | no | — |
| 375 | C22×C5 | — | 4 | 4 | no | — |
| 376 | C22×C5 | — | 8 | 4 | no | — |
| 377 | C22×C5 | — | 8 | 1 | no | — |
| 378 | C22×C5 | — | 16 | 2 | no | — |
| 379 | C22×C5 | — | 16 | 2 | no | — |
| 380 | C22×C5 | — | 16 | 1 | no | — |
| 381 | C22×C5 | #447 | 1 | 1 | yes | characteristic |
| 382 | C22×C5 | #447 | 1 | 1 | yes | characteristic |
| 383 | C22×C5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 384 | C2×D5 | — | 2 | 2 | no | — |
| 385 | C2×D5 | — | 4 | 2 | no | — |
| 386 | C2×D5 | — | 4 | 2 | no | — |
| 387 | C2×D5 | — | 8 | 2 | no | — |
| 388 | C2×D5 | — | 16 | 8 | no | — |
| 389 | C4×C5 | — | 8 | 1 | no | — |
| 390 | C4×C5 | #447 | 1 | 1 | yes | characteristic |
| 391 | C4×C5 | #447 | 1 | 1 | yes | characteristic |
| 392 | C4×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 393 | C4×C5 | C22×D8 | 1 | 1 | yes | characteristic |
| 394 | Dic5 | — | 2 | 2 | no | — |
| 395 | Dic5 | — | 4 | 2 | no | — |
| 396 | C24 | — | 4 | 1 | no | — |
| 397 | C24 | — | 20 | 2 | no | — |
| 398 | #41 | — | 4 | 1 | no | — |
| 399 | #41 | — | 4 | 1 | no | — |
| 400 | #41 | — | 4 | 1 | no | — |
| 401 | #41 | — | 4 | 1 | no | — |
| 402 | #41 | — | 5 | 2 | no | — |
| 403 | #41 | — | 5 | 2 | no | — |
| 404 | #41 | — | 10 | 1 | no | — |
| 405 | #41 | — | 10 | 1 | no | — |
| 406 | #41 | — | 10 | 8 | no | — |
| 407 | #41 | — | 10 | 2 | no | — |
| 408 | #41 | — | 10 | 2 | no | — |
| 409 | #41 | — | 20 | 4 | no | — |
| 410 | #41 | — | 20 | 4 | no | — |
| 411 | #41 | — | 20 | 4 | no | — |
| 412 | #41 | — | 20 | 1 | no | — |
| 413 | #41 | — | 20 | 1 | no | — |
| 414 | C2×Q8 | — | 2 | 1 | no | — |
| 415 | C2×Q8 | — | 5 | 1 | no | — |
| 416 | C2×Q8 | — | 10 | 1 | no | — |
| 417 | C2×D4 | — | 2 | 2 | no | — |
| 418 | C2×D4 | — | 2 | 1 | no | — |
| 419 | C2×D4 | — | 2 | 2 | no | — |
| 420 | C2×D4 | — | 2 | 2 | no | — |
| 421 | C2×D4 | — | 4 | 1 | no | — |
| 422 | C2×D4 | — | 4 | 1 | no | — |
| 423 | C2×D4 | — | 4 | 1 | no | — |
| 424 | C2×D4 | — | 4 | 1 | no | — |
| 425 | C2×D4 | — | 5 | 1 | no | — |
| 426 | C2×D4 | — | 10 | 8 | no | — |
| 427 | C2×D4 | — | 10 | 1 | no | — |
| 428 | C2×D4 | — | 10 | 1 | no | — |
| 429 | C2×D4 | — | 20 | 4 | no | — |
| 430 | C2×D4 | — | 20 | 2 | no | — |
| 431 | C2×D4 | — | 20 | 4 | no | — |
| 432 | C2×D4 | — | 20 | 4 | no | — |
| 433 | C2×D4 | — | 20 | 8 | no | — |
| 434 | C2×D4 | — | 20 | 8 | no | — |
| 435 | C2×D4 | — | 20 | 2 | no | — |
| 436 | C2×D4 | — | 20 | 1 | no | — |
| 437 | C22×C4 | — | 4 | 1 | no | — |
| 438 | C22×C4 | — | 10 | 1 | no | — |
| 439 | C22×C4 | — | 20 | 2 | no | — |
| 440 | C22×C4 | — | 20 | 1 | no | — |
| 441 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 442 | Q16 | — | 2 | 1 | no | — |
| 443 | Q16 | — | 2 | 1 | no | — |
| 444 | Q16 | — | 5 | 2 | no | — |
| 445 | Q16 | — | 10 | 1 | no | — |
| 446 | Q16 | — | 20 | 2 | no | — |
| 447 | SD16 | — | 4 | 1 | no | — |
| 448 | SD16 | — | 4 | 1 | no | — |
| 449 | SD16 | — | 10 | 8 | no | — |
| 450 | SD16 | — | 10 | 2 | no | — |
| 451 | SD16 | — | 10 | 2 | no | — |
| 452 | SD16 | — | 20 | 2 | no | — |
| 453 | SD16 | — | 20 | 2 | no | — |
| 454 | D8 | — | 2 | 2 | no | — |
| 455 | D8 | — | 2 | 1 | no | — |
| 456 | D8 | — | 2 | 1 | no | — |
| 457 | D8 | — | 2 | 2 | no | — |
| 458 | D8 | — | 2 | 2 | no | — |
| 459 | D8 | — | 5 | 2 | no | — |
| 460 | D8 | — | 10 | 8 | no | — |
| 461 | D8 | — | 10 | 1 | no | — |
| 462 | D8 | — | 20 | 2 | no | — |
| 463 | D8 | C2×C22⋊D5 | 1 | 4 | yes | — |
| 464 | M16 | — | 5 | 2 | no | — |
| 465 | M16 | — | 10 | 1 | no | — |
| 466 | M16 | — | 10 | 2 | no | — |
| 467 | M16 | — | 10 | 2 | no | — |
| 468 | M16 | — | 10 | 2 | no | — |
| 469 | M16 | — | 20 | 1 | no | — |
| 470 | C2×C8 | — | 10 | 1 | no | — |
| 471 | C2×C8 | — | 10 | 2 | no | — |
| 472 | C2×C8 | — | 10 | 2 | no | — |
| 473 | C2×C8 | — | 20 | 1 | no | — |
| 474 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 475 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 476 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 477 | C2×C8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 478 | C2×C8 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 479 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 480 | C16 | — | 2 | 2 | no | — |
| 481 | C16 | — | 10 | 2 | no | — |
| 482 | C2×C5 | — | 2 | 1 | no | — |
| 483 | C2×C5 | — | 2 | 1 | no | — |
| 484 | C2×C5 | — | 2 | 1 | no | — |
| 485 | C2×C5 | — | 8 | 4 | no | — |
| 486 | C2×C5 | — | 16 | 1 | no | — |
| 487 | C2×C5 | C2×#447 | 1 | 1 | yes | characteristic |
| 488 | D5 | — | 4 | 2 | no | — |
| 489 | D5 | — | 8 | 2 | no | — |
| 490 | C23 | — | 4 | 2 | no | — |
| 491 | C23 | — | 4 | 2 | no | — |
| 492 | C23 | — | 4 | 2 | no | — |
| 493 | C23 | — | 4 | 1 | no | — |
| 494 | C23 | — | 10 | 1 | no | — |
| 495 | C23 | — | 16 | 2 | no | — |
| 496 | C23 | — | 20 | 8 | no | — |
| 497 | C23 | — | 20 | 1 | no | — |
| 498 | C23 | — | 80 | 4 | no | — |
| 499 | C23 | #4057 | 1 | 1 | yes | characteristic |
| 500 | Q8 | — | 4 | 1 | no | — |
| 501 | Q8 | — | 4 | 1 | no | — |
| 502 | Q8 | — | 5 | 2 | no | — |
| 503 | Q8 | — | 10 | 1 | no | — |
| 504 | Q8 | — | 10 | 2 | no | — |
| 505 | Q8 | — | 20 | 1 | no | — |
| 506 | D4 | — | 2 | 4 | no | — |
| 507 | D4 | — | 4 | 2 | no | — |
| 508 | D4 | — | 4 | 1 | no | — |
| 509 | D4 | — | 4 | 1 | no | — |
| 510 | D4 | — | 4 | 2 | no | — |
| 511 | D4 | — | 4 | 2 | no | — |
| 512 | D4 | — | 5 | 2 | no | — |
| 513 | D4 | — | 8 | 1 | no | — |
| 514 | D4 | — | 8 | 1 | no | — |
| 515 | D4 | — | 10 | 2 | no | — |
| 516 | D4 | — | 10 | 2 | no | — |
| 517 | D4 | — | 10 | 2 | no | — |
| 518 | D4 | — | 10 | 1 | no | — |
| 519 | D4 | — | 20 | 8 | no | — |
| 520 | D4 | — | 20 | 8 | no | — |
| 521 | D4 | — | 20 | 2 | no | — |
| 522 | D4 | — | 20 | 2 | no | — |
| 523 | D4 | — | 20 | 1 | no | — |
| 524 | C2×C4 | — | 4 | 1 | no | — |
| 525 | C2×C4 | — | 8 | 1 | no | — |
| 526 | C2×C4 | — | 8 | 1 | no | — |
| 527 | C2×C4 | — | 10 | 1 | no | — |
| 528 | C2×C4 | — | 10 | 2 | no | — |
| 529 | C2×C4 | — | 10 | 2 | no | — |
| 530 | C2×C4 | — | 20 | 8 | no | — |
| 531 | C2×C4 | — | 20 | 1 | no | — |
| 532 | C2×C4 | — | 20 | 2 | no | — |
| 533 | C2×C4 | — | 20 | 2 | no | — |
| 534 | C2×C4 | D5×D8 | 1 | 1 | yes | characteristic |
| 535 | C2×C4 | D5×D8 | 1 | 1 | yes | characteristic |
| 536 | C2×C4 | #4057 | 1 | 1 | yes | characteristic |
| 537 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 538 | C2×C4 | #4083 | 1 | 1 | yes | characteristic |
| 539 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 540 | C8 | — | 10 | 2 | no | — |
| 541 | C8 | — | 20 | 2 | no | — |
| 542 | C8 | #4083 | 1 | 1 | yes | characteristic |
| 543 | C8 | #4083 | 1 | 1 | yes | characteristic |
| 544 | C8 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 545 | C8 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 546 | C5 | #33539 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 547 | C22 | — | 4 | 1 | no | — |
| 548 | C22 | — | 4 | 4 | no | — |
| 549 | C22 | — | 8 | 4 | no | — |
| 550 | C22 | — | 8 | 1 | no | — |
| 551 | C22 | — | 10 | 2 | no | — |
| 552 | C22 | — | 16 | 2 | no | — |
| 553 | C22 | — | 16 | 2 | no | — |
| 554 | C22 | — | 16 | 1 | no | — |
| 555 | C22 | — | 20 | 2 | no | — |
| 556 | C22 | — | 20 | 2 | no | — |
| 557 | C22 | — | 40 | 2 | no | — |
| 558 | C22 | — | 80 | 8 | no | — |
| 559 | C22 | #65445 | 1 | 1 | yes | characteristic |
| 560 | C22 | #65445 | 1 | 1 | yes | characteristic |
| 561 | C22 | C2×#4057 | 1 | 1 | yes | characteristic |
| 562 | C4 | — | 8 | 1 | no | — |
| 563 | C4 | — | 10 | 2 | no | — |
| 564 | C4 | — | 20 | 2 | no | — |
| 565 | C4 | #65445 | 1 | 1 | yes | characteristic |
| 566 | C4 | #65445 | 1 | 1 | yes | characteristic |
| 567 | C4 | C2×D5×D8 | 1 | 1 | yes | characteristic |
| 568 | C4 | C2×#4083 | 1 | 1 | yes | characteristic |
| 569 | C2 | — | 2 | 1 | no | — |
| 570 | C2 | — | 2 | 1 | no | — |
| 571 | C2 | — | 2 | 1 | no | — |
| 572 | C2 | — | 8 | 4 | no | — |
| 573 | C2 | — | 16 | 1 | no | — |
| 574 | C2 | — | 20 | 2 | no | — |
| 575 | C2 | — | 40 | 2 | no | — |
| 576 | C2 | C2×#65445 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#66091 | C2 | semidirect |
| 2. C2×C5×#509 | C2 | semidirect |
| 3. #10615659 | C2 | semidirect |
| 4. #10615625 | C2 | semidirect |
| 5. C2×#64783 | C2 | semidirect |
| 6. #10602283 | C2 | semidirect |
| 7. #10602264 | C2 | semidirect |
| 8. #10602241 | C2 | semidirect |
| 9. #10602230 | C2 | semidirect |
| 11. C2×C5×#135 | C22 | semidirect |
| 26. C2×C5×SD32 | C22 | semidirect |
| 27. C2×C5×D16 | C22 | semidirect |
| 28. C2×C5×M32 | C22 | semidirect |
| 33. #65481 | C22 | semidirect |
| 34. #65468 | C22 | semidirect |
| 36. #65449 | C22 | semidirect |
| 37. #65436 | C22 | semidirect |
| 38. C2×#3951 | C22 | semidirect |
| 39. C2×#3944 | C22 | semidirect |
| 40. #64783 | C22 | semidirect |
| 41. #64730 | C22 | semidirect |
| 42. #64728 | C22 | semidirect |
| 61. C2×C5×Q16 | C23 | semidirect |
| 69. C2×C5×D8 | C23 | semidirect |
| 105. C2×C5×C16 | C23 | semidirect |
| 113. #3951 | C23 | semidirect |
| 115. #3944 | C23 | semidirect |
| 119. C2×#509 | D5 | semidirect |
| 222. C2×#135 | C2×D5 | semidirect |
| 233. C2×SD32 | C2×D5 | semidirect |
| 234. C2×D16 | C2×D5 | semidirect |
| 236. C2×M32 | C2×D5 | semidirect |
| 334. C2×Q16 | C22×D5 | semidirect |
| 348. C2×D8 | C22×D5 | semidirect |
| 369. C2×C16 | C22×D5 | semidirect |
| 546. C5 | #33539 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66091 | 2 |
| C2×C5×#509 | 2 |
| #10615659 | 2 |
| #10615625 | 2 |
| C2×#64783 | 2 |
| #10602283 | 2 |
| #10602264 | 2 |
| #10602241 | 2 |
| #10602230 | 2 |
| #33539 | 5 |