Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1086 conjugacy classes of subgroups.
The subgroup lattice has 426 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66105 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×C5×#510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615618 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C22×#3961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10602870 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10602295 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10602279 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10602238 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10602225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#4150 | — | 2 | 1 | no | — |
| 11 | C2×C5×#135 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#4097 | — | 2 | 1 | no | — |
| 14 | #66150 | — | 2 | 1 | no | — |
| 15 | #66105 | — | 2 | 4 | no | — |
| 16 | #66105 | — | 2 | 4 | no | — |
| 17 | C2×D5×Q16 | C22 | 1 | 2 | yes | — |
| 18 | C2×#4061 | — | 2 | 2 | no | — |
| 19 | C2×#4058 | C22 | 1 | 2 | yes | — |
| 20 | C22×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 22 | C5×#510 | — | 2 | 4 | no | — |
| 23 | C2×C5×Q32 | C22 | 1 | 2 | yes | — |
| 24 | C2×C5×SD32 | C22 | 1 | 2 | yes | — |
| 25 | C2×C5×M32 | C22 | 1 | 1 | yes | characteristic |
| 26 | #65514 | — | 2 | 1 | no | — |
| 27 | #65478 | — | 2 | 2 | no | — |
| 28 | #65477 | C22 | 1 | 4 | yes | — |
| 29 | C2×#3961 | — | 2 | 4 | no | — |
| 30 | C2×#3961 | C22 | 1 | 4 | yes | — |
| 31 | #65395 | C22 | 1 | 1 | yes | characteristic |
| 32 | C22×#672 | C22 | 1 | 1 | yes | characteristic |
| 33 | #64784 | C22 | 1 | 2 | yes | — |
| 34 | #64782 | C22 | 1 | 2 | yes | — |
| 35 | #64727 | C22 | 1 | 4 | yes | — |
| 36 | #64723 | C22 | 1 | 4 | yes | — |
| 37 | #33525 | — | 5 | 1 | no | maximal, Sylow |
| 38 | C2×C5×#41 | — | 2 | 1 | no | — |
| 39 | C22×C5×Q8 | — | 2 | 1 | no | — |
| 40 | #4150 | — | 2 | 8 | no | — |
| 41 | #4150 | — | 4 | 4 | no | — |
| 42 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 43 | C2×#711 | — | 2 | 2 | no | — |
| 44 | C2×#711 | — | 4 | 2 | no | — |
| 45 | C2×#709 | — | 4 | 1 | no | — |
| 46 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 47 | C22×Dic10 | — | 2 | 1 | no | — |
| 48 | C22×Dic10 | — | 4 | 1 | no | — |
| 49 | C5×#135 | — | 2 | 2 | no | — |
| 50 | C5×#135 | D4 | 1 | 4 | yes | — |
| 51 | C2×C5×Q16 | — | 2 | 2 | no | — |
| 52 | C2×C5×Q16 | — | 2 | 2 | no | — |
| 53 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 54 | C2×C5×Q16 | C23 | 1 | 2 | yes | — |
| 55 | C2×C5×Q16 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×C5×SD16 | — | 2 | 1 | no | — |
| 57 | C2×C5×D8 | C23 | 1 | 1 | yes | characteristic |
| 58 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 59 | #4097 | — | 2 | 8 | no | — |
| 60 | #4093 | — | 4 | 1 | no | — |
| 61 | #4092 | — | 2 | 4 | no | — |
| 62 | #4090 | — | 4 | 1 | no | — |
| 63 | C2×#689 | — | 2 | 2 | no | — |
| 64 | C2×#687 | — | 2 | 2 | no | — |
| 65 | #4075 | — | 4 | 2 | no | — |
| 66 | #4072 | — | 2 | 1 | no | — |
| 67 | C2×#681 | D4 | 1 | 1 | yes | characteristic |
| 68 | D5×Q16 | — | 2 | 4 | no | — |
| 69 | D5×Q16 | — | 2 | 4 | no | — |
| 70 | #4061 | — | 2 | 16 | no | — |
| 71 | #4058 | — | 2 | 4 | no | — |
| 72 | #4058 | — | 2 | 4 | no | — |
| 73 | C2×Dic20 | — | 2 | 1 | no | — |
| 74 | C2×Dic20 | — | 2 | 2 | no | — |
| 75 | C2×Dic20 | D4 | 1 | 4 | yes | — |
| 76 | C2×Dic20 | C23 | 1 | 2 | yes | — |
| 77 | #4047 | — | 2 | 2 | no | — |
| 78 | #4047 | — | 2 | 2 | no | — |
| 79 | C2×#676 | D4 | 1 | 2 | yes | — |
| 80 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 81 | C5×Q32 | — | 2 | 4 | no | — |
| 82 | C5×SD32 | — | 2 | 4 | no | — |
| 83 | C5×M32 | — | 2 | 2 | no | — |
| 84 | C2×C5×C16 | C23 | 1 | 2 | yes | — |
| 85 | #3967 | — | 2 | 4 | no | — |
| 86 | #3961 | — | 2 | 8 | no | — |
| 87 | #3950 | C23 | 1 | 2 | yes | — |
| 88 | #3949 | — | 2 | 1 | no | — |
| 89 | C2×#672 | — | 2 | 2 | no | — |
| 90 | C2×#672 | C23 | 1 | 2 | yes | — |
| 91 | C2×#578 | — | 5 | 1 | no | — |
| 92 | C2×#510 | D5 | 1 | 1 | yes | characteristic, complemented |
| 93 | C22×Q32 | — | 5 | 1 | no | — |
| 94 | #3059 | — | 5 | 1 | no | — |
| 95 | #2189 | — | 5 | 4 | no | — |
| 96 | #2188 | — | 5 | 4 | no | — |
| 97 | #2141 | — | 5 | 1 | no | — |
| 98 | #2138 | — | 5 | 1 | no | — |
| 99 | #2113 | — | 5 | 1 | no | — |
| 100 | C5×#41 | — | 2 | 4 | no | — |
| 101 | C5×#41 | — | 4 | 2 | no | — |
| 102 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 103 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 104 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 105 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 106 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 107 | C2×C5×D4 | — | 2 | 1 | no | — |
| 108 | C2×C5×D4 | — | 4 | 1 | no | — |
| 109 | C22×C4×C5 | — | 4 | 1 | no | — |
| 110 | C22×C4×C5 | — | 4 | 1 | no | — |
| 111 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 113 | C2×C22⋊D5 | D8 | 1 | 2 | yes | — |
| 114 | C22×Dic5 | — | 4 | 1 | no | — |
| 115 | C22×Dic5 | — | 4 | 2 | no | — |
| 116 | Q8×D5 | — | 2 | 8 | no | — |
| 117 | Q8×D5 | — | 4 | 4 | no | — |
| 118 | #711 | — | 2 | 8 | no | — |
| 119 | #711 | — | 4 | 4 | no | — |
| 120 | #711 | — | 4 | 16 | no | — |
| 121 | #709 | — | 2 | 2 | no | — |
| 122 | #709 | — | 2 | 2 | no | — |
| 123 | #709 | — | 4 | 8 | no | — |
| 124 | C2×D20 | D8 | 1 | 1 | yes | characteristic |
| 125 | C2×C4×D5 | — | 4 | 2 | no | — |
| 126 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 127 | C2×Dic10 | — | 2 | 4 | no | — |
| 128 | C2×Dic10 | — | 2 | 2 | no | — |
| 129 | C2×Dic10 | — | 4 | 8 | no | — |
| 130 | C2×Dic10 | — | 4 | 1 | no | — |
| 131 | C2×Dic10 | — | 4 | 2 | no | — |
| 132 | C2×Dic10 | — | 4 | 2 | no | — |
| 133 | C2×Dic10 | D8 | 1 | 1 | yes | characteristic |
| 134 | C5×Q16 | — | 2 | 1 | no | — |
| 135 | C5×Q16 | — | 2 | 2 | no | — |
| 136 | C5×Q16 | — | 2 | 2 | no | — |
| 137 | C5×Q16 | — | 4 | 2 | no | — |
| 138 | C5×Q16 | C2×D4 | 1 | 2 | yes | — |
| 139 | C5×SD16 | — | 2 | 4 | no | — |
| 140 | C5×D8 | — | 2 | 1 | no | — |
| 141 | C5×D8 | C2×D4 | 1 | 2 | yes | — |
| 142 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 144 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 145 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 146 | C22⋊Dic5 | — | 4 | 1 | no | — |
| 147 | #689 | — | 2 | 8 | no | — |
| 148 | #687 | — | 2 | 8 | no | — |
| 149 | #685 | — | 4 | 4 | no | — |
| 150 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 151 | #683 | — | 4 | 4 | no | — |
| 152 | C4×Dic5 | — | 4 | 1 | no | — |
| 153 | #681 | — | 2 | 2 | no | — |
| 154 | C2×#168 | C2×D4 | 1 | 2 | yes | — |
| 155 | Dic20 | — | 2 | 4 | no | — |
| 156 | Dic20 | — | 2 | 2 | no | — |
| 157 | Dic20 | C2×D4 | 1 | 4 | yes | — |
| 158 | #676 | — | 2 | 4 | no | — |
| 159 | C8×D5 | — | 2 | 2 | no | — |
| 160 | C8×D5 | — | 2 | 2 | no | — |
| 161 | C5×C16 | — | 2 | 2 | no | — |
| 162 | #672 | — | 2 | 2 | no | — |
| 163 | C2×2−1+4 | — | 10 | 1 | no | — |
| 164 | #578 | — | 10 | 4 | no | — |
| 165 | #578 | — | 10 | 4 | no | — |
| 166 | C2×#137 | — | 10 | 2 | no | — |
| 167 | C2×#137 | — | 10 | 1 | no | — |
| 168 | C2×#135 | — | 5 | 2 | no | — |
| 169 | C2×#135 | C2×D5 | 1 | 1 | yes | characteristic |
| 170 | C22×Q16 | — | 5 | 2 | no | — |
| 171 | C22×Q16 | — | 5 | 1 | no | — |
| 172 | C22×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 173 | C2×#131 | — | 5 | 1 | no | — |
| 174 | #536 | — | 10 | 1 | no | — |
| 175 | #510 | — | 2 | 4 | no | — |
| 176 | C2×Q32 | — | 5 | 4 | no | — |
| 177 | C2×Q32 | — | 10 | 4 | no | — |
| 178 | C2×Q32 | C2×D5 | 1 | 2 | yes | — |
| 179 | C2×SD32 | C2×D5 | 1 | 2 | yes | — |
| 180 | C2×M32 | C2×D5 | 1 | 1 | yes | characteristic |
| 181 | C22×C16 | — | 5 | 1 | no | — |
| 182 | #470 | — | 10 | 2 | no | — |
| 183 | #467 | — | 5 | 4 | no | — |
| 184 | #427 | — | 5 | 1 | no | — |
| 185 | #419 | — | 10 | 1 | no | — |
| 186 | #358 | — | 5 | 2 | no | — |
| 187 | #358 | — | 5 | 4 | no | — |
| 188 | #357 | — | 5 | 2 | no | — |
| 189 | C22⋊C16 | — | 5 | 4 | no | — |
| 190 | C23×C5 | — | 4 | 1 | no | — |
| 191 | C23×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 192 | C22×D5 | C2×D8 | 1 | 2 | yes | — |
| 193 | C5×Q8 | — | 2 | 2 | no | — |
| 194 | C5×Q8 | — | 4 | 1 | no | — |
| 195 | C5×Q8 | — | 4 | 2 | no | — |
| 196 | C5×Q8 | — | 4 | 2 | no | — |
| 197 | C5×Q8 | — | 8 | 2 | no | — |
| 198 | C5×D4 | — | 2 | 2 | no | — |
| 199 | C5×D4 | — | 4 | 4 | no | — |
| 200 | C5×D4 | — | 4 | 1 | no | — |
| 201 | C2×C4×C5 | — | 4 | 1 | no | — |
| 202 | C2×C4×C5 | — | 4 | 4 | no | — |
| 203 | C2×C4×C5 | — | 4 | 2 | no | — |
| 204 | C2×C4×C5 | — | 8 | 2 | no | — |
| 205 | C2×C4×C5 | #120 | 1 | 2 | yes | — |
| 206 | C2×C4×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 207 | C2×C4×C5 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 208 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 209 | C22⋊D5 | — | 2 | 4 | no | — |
| 210 | C22⋊D5 | — | 4 | 8 | no | — |
| 211 | C2×Dic5 | — | 4 | 8 | no | — |
| 212 | C2×Dic5 | — | 4 | 2 | no | — |
| 213 | C2×Dic5 | — | 4 | 4 | no | — |
| 214 | C2×Dic5 | — | 4 | 2 | no | — |
| 215 | C2×Dic5 | C2×D8 | 1 | 2 | yes | — |
| 216 | D20 | — | 2 | 2 | no | — |
| 217 | C4×D5 | — | 2 | 2 | no | — |
| 218 | C4×D5 | — | 2 | 2 | no | — |
| 219 | C4×D5 | — | 4 | 8 | no | — |
| 220 | Dic10 | — | 2 | 2 | no | — |
| 221 | Dic10 | — | 2 | 4 | no | — |
| 222 | Dic10 | — | 4 | 8 | no | — |
| 223 | Dic10 | — | 4 | 2 | no | — |
| 224 | Dic10 | — | 4 | 4 | no | — |
| 225 | C5×C8 | #120 | 1 | 2 | yes | — |
| 226 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 227 | C5×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 228 | #168 | — | 2 | 2 | no | — |
| 229 | 2−1+4 | — | 10 | 8 | no | — |
| 230 | 2−1+4 | — | 20 | 4 | no | — |
| 231 | C2×#41 | — | 2 | 1 | no | — |
| 232 | C2×#41 | — | 5 | 1 | no | — |
| 233 | C2×#41 | — | 10 | 2 | no | — |
| 234 | C2×#41 | — | 20 | 1 | no | — |
| 235 | C2×#41 | — | 20 | 2 | no | — |
| 236 | C22×Q8 | — | 2 | 1 | no | — |
| 237 | C22×Q8 | — | 10 | 2 | no | — |
| 238 | C22×Q8 | — | 10 | 1 | no | — |
| 239 | C22×Q8 | — | 20 | 1 | no | — |
| 240 | #137 | — | 10 | 16 | no | — |
| 241 | #137 | — | 10 | 8 | no | — |
| 242 | #135 | — | 2 | 2 | no | — |
| 243 | #135 | — | 10 | 4 | no | — |
| 244 | #135 | — | 10 | 4 | no | — |
| 245 | #135 | C22⋊D5 | 1 | 4 | yes | — |
| 246 | C2×Q16 | — | 2 | 2 | no | — |
| 247 | C2×Q16 | — | 2 | 1 | no | — |
| 248 | C2×Q16 | — | 2 | 2 | no | — |
| 249 | C2×Q16 | — | 5 | 4 | no | — |
| 250 | C2×Q16 | — | 5 | 2 | no | — |
| 251 | C2×Q16 | — | 10 | 2 | no | — |
| 252 | C2×Q16 | — | 10 | 4 | no | — |
| 253 | C2×Q16 | — | 10 | 4 | no | — |
| 254 | C2×Q16 | — | 10 | 1 | no | — |
| 255 | C2×Q16 | — | 10 | 2 | no | — |
| 256 | C2×Q16 | C22×D5 | 1 | 2 | yes | — |
| 257 | C2×Q16 | C22×D5 | 1 | 1 | yes | characteristic |
| 258 | C2×SD16 | — | 2 | 1 | no | — |
| 259 | C2×SD16 | — | 10 | 2 | no | — |
| 260 | C2×D8 | C22×D5 | 1 | 1 | yes | characteristic |
| 261 | #131 | — | 10 | 2 | no | — |
| 262 | #131 | — | 10 | 2 | no | — |
| 263 | C2×M16 | — | 5 | 1 | no | — |
| 264 | C2×M16 | — | 5 | 2 | no | — |
| 265 | C22×C8 | — | 5 | 2 | no | — |
| 266 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 267 | C4⋊Q8 | — | 20 | 1 | no | — |
| 268 | #124 | — | 20 | 1 | no | — |
| 269 | #123 | — | 20 | 2 | no | — |
| 270 | C22⋊Q8 | — | 10 | 4 | no | — |
| 271 | #117 | — | 10 | 1 | no | — |
| 272 | Q32 | — | 2 | 4 | no | — |
| 273 | Q32 | — | 10 | 8 | no | — |
| 274 | SD32 | — | 2 | 4 | no | — |
| 275 | M32 | — | 2 | 2 | no | — |
| 276 | C2×C16 | — | 5 | 2 | no | — |
| 277 | C2×C16 | — | 10 | 2 | no | — |
| 278 | C2×C16 | C22×D5 | 1 | 2 | yes | — |
| 279 | #107 | — | 5 | 2 | no | — |
| 280 | #106 | — | 10 | 1 | no | — |
| 281 | #103 | — | 10 | 4 | no | — |
| 282 | C22×C5 | — | 2 | 2 | no | — |
| 283 | C22×C5 | — | 4 | 2 | no | — |
| 284 | C22×C5 | — | 8 | 2 | no | — |
| 285 | C22×C5 | #447 | 1 | 2 | yes | — |
| 286 | C22×C5 | C22×D8 | 1 | 1 | yes | characteristic |
| 287 | C2×D5 | — | 2 | 4 | no | — |
| 288 | C2×D5 | — | 2 | 2 | no | — |
| 289 | C4×C5 | — | 4 | 2 | no | — |
| 290 | C4×C5 | — | 8 | 2 | no | — |
| 291 | C4×C5 | #447 | 1 | 2 | yes | — |
| 292 | C4×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 293 | C4×C5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 294 | Dic5 | — | 2 | 2 | no | — |
| 295 | Dic5 | — | 4 | 4 | no | — |
| 296 | Dic5 | — | 8 | 2 | no | — |
| 297 | #41 | — | 2 | 4 | no | — |
| 298 | #41 | — | 4 | 2 | no | — |
| 299 | #41 | — | 10 | 2 | no | — |
| 300 | #41 | — | 10 | 2 | no | — |
| 301 | #41 | — | 10 | 8 | no | — |
| 302 | #41 | — | 20 | 8 | no | — |
| 303 | #41 | — | 20 | 4 | no | — |
| 304 | #41 | — | 20 | 16 | no | — |
| 305 | C2×Q8 | — | 2 | 1 | no | — |
| 306 | C2×Q8 | — | 2 | 2 | no | — |
| 307 | C2×Q8 | — | 4 | 1 | no | — |
| 308 | C2×Q8 | — | 4 | 2 | no | — |
| 309 | C2×Q8 | — | 4 | 2 | no | — |
| 310 | C2×Q8 | — | 5 | 1 | no | — |
| 311 | C2×Q8 | — | 10 | 8 | no | — |
| 312 | C2×Q8 | — | 10 | 2 | no | — |
| 313 | C2×Q8 | — | 10 | 4 | no | — |
| 314 | C2×Q8 | — | 20 | 2 | no | — |
| 315 | C2×Q8 | — | 20 | 8 | no | — |
| 316 | C2×Q8 | — | 20 | 4 | no | — |
| 317 | C2×Q8 | — | 20 | 1 | no | — |
| 318 | C2×Q8 | — | 20 | 2 | no | — |
| 319 | C2×D4 | — | 2 | 1 | no | — |
| 320 | C2×D4 | — | 4 | 1 | no | — |
| 321 | C2×D4 | — | 5 | 2 | no | — |
| 322 | C2×D4 | — | 5 | 1 | no | — |
| 323 | C2×D4 | — | 20 | 2 | no | — |
| 324 | C22×C4 | — | 4 | 1 | no | — |
| 325 | C22×C4 | — | 4 | 1 | no | — |
| 326 | C22×C4 | — | 5 | 2 | no | — |
| 327 | C22×C4 | — | 20 | 2 | no | — |
| 328 | C22×C4 | — | 20 | 2 | no | — |
| 329 | C22×C4 | — | 20 | 1 | no | — |
| 330 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 331 | Q16 | — | 2 | 1 | no | — |
| 332 | Q16 | — | 2 | 2 | no | — |
| 333 | Q16 | — | 2 | 2 | no | — |
| 334 | Q16 | — | 4 | 2 | no | — |
| 335 | Q16 | — | 5 | 4 | no | — |
| 336 | Q16 | — | 10 | 8 | no | — |
| 337 | Q16 | — | 10 | 2 | no | — |
| 338 | Q16 | — | 10 | 4 | no | — |
| 339 | Q16 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 340 | SD16 | — | 2 | 4 | no | — |
| 341 | SD16 | — | 10 | 8 | no | — |
| 342 | D8 | — | 2 | 1 | no | — |
| 343 | D8 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 344 | M16 | — | 10 | 2 | no | — |
| 345 | M16 | — | 10 | 4 | no | — |
| 346 | C2×C8 | — | 5 | 2 | no | — |
| 347 | C2×C8 | — | 10 | 2 | no | — |
| 348 | C2×C8 | — | 10 | 2 | no | — |
| 349 | C2×C8 | D4×D5 | 1 | 2 | yes | — |
| 350 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 351 | C2×C8 | C2×C22⋊D5 | 1 | 2 | yes | — |
| 352 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 353 | C4⋊C4 | — | 10 | 2 | no | — |
| 354 | C4⋊C4 | — | 20 | 4 | no | — |
| 355 | C22⋊C4 | — | 20 | 4 | no | — |
| 356 | C22⋊C4 | — | 20 | 1 | no | — |
| 357 | C42 | — | 20 | 1 | no | — |
| 358 | C16 | — | 2 | 2 | no | — |
| 359 | C16 | — | 10 | 2 | no | — |
| 360 | C2×C5 | — | 2 | 2 | no | — |
| 361 | C2×C5 | — | 8 | 2 | no | — |
| 362 | C2×C5 | C2×#447 | 1 | 1 | yes | characteristic |
| 363 | C2×C5 | #3417 | 1 | 2 | yes | — |
| 364 | D5 | — | 4 | 2 | no | — |
| 365 | C23 | — | 4 | 1 | no | — |
| 366 | C23 | — | 5 | 2 | no | — |
| 367 | C23 | D5×D8 | 1 | 1 | yes | characteristic |
| 368 | Q8 | — | 2 | 2 | no | — |
| 369 | Q8 | — | 4 | 1 | no | — |
| 370 | Q8 | — | 4 | 2 | no | — |
| 371 | Q8 | — | 4 | 2 | no | — |
| 372 | Q8 | — | 8 | 2 | no | — |
| 373 | Q8 | — | 10 | 2 | no | — |
| 374 | Q8 | — | 10 | 4 | no | — |
| 375 | Q8 | — | 20 | 8 | no | — |
| 376 | Q8 | — | 20 | 2 | no | — |
| 377 | Q8 | — | 20 | 4 | no | — |
| 378 | D4 | — | 2 | 2 | no | — |
| 379 | D4 | — | 4 | 4 | no | — |
| 380 | D4 | — | 4 | 1 | no | — |
| 381 | D4 | — | 10 | 4 | no | — |
| 382 | D4 | — | 10 | 2 | no | — |
| 383 | D4 | — | 20 | 8 | no | — |
| 384 | C2×C4 | — | 4 | 1 | no | — |
| 385 | C2×C4 | — | 4 | 4 | no | — |
| 386 | C2×C4 | — | 4 | 2 | no | — |
| 387 | C2×C4 | — | 5 | 2 | no | — |
| 388 | C2×C4 | — | 8 | 2 | no | — |
| 389 | C2×C4 | — | 10 | 2 | no | — |
| 390 | C2×C4 | — | 10 | 2 | no | — |
| 391 | C2×C4 | — | 20 | 8 | no | — |
| 392 | C2×C4 | — | 20 | 8 | no | — |
| 393 | C2×C4 | — | 20 | 2 | no | — |
| 394 | C2×C4 | — | 20 | 4 | no | — |
| 395 | C2×C4 | — | 20 | 2 | no | — |
| 396 | C2×C4 | D5×D8 | 1 | 1 | yes | characteristic |
| 397 | C2×C4 | #4057 | 1 | 2 | yes | — |
| 398 | C2×C4 | #4083 | 1 | 2 | yes | — |
| 399 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 400 | C8 | — | 10 | 2 | no | — |
| 401 | C8 | #4083 | 1 | 2 | yes | — |
| 402 | C8 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 403 | C8 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 404 | C5 | #33525 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 405 | C22 | — | 2 | 2 | no | — |
| 406 | C22 | — | 4 | 2 | no | — |
| 407 | C22 | — | 8 | 2 | no | — |
| 408 | C22 | — | 10 | 2 | no | — |
| 409 | C22 | — | 10 | 4 | no | — |
| 410 | C22 | #65445 | 1 | 2 | yes | — |
| 411 | C22 | C2×D5×D8 | 1 | 1 | yes | characteristic |
| 412 | C4 | — | 4 | 2 | no | — |
| 413 | C4 | — | 8 | 2 | no | — |
| 414 | C4 | — | 10 | 2 | no | — |
| 415 | C4 | — | 20 | 4 | no | — |
| 416 | C4 | — | 40 | 2 | no | — |
| 417 | C4 | #65445 | 1 | 2 | yes | — |
| 418 | C4 | C2×#4057 | 1 | 1 | yes | characteristic |
| 419 | C4 | C2×#4083 | 1 | 1 | yes | characteristic |
| 420 | C2 | — | 2 | 2 | no | — |
| 421 | C2 | — | 8 | 2 | no | — |
| 422 | C2 | — | 20 | 2 | no | — |
| 423 | C2 | #10613772 | 1 | 2 | yes | — |
| 424 | C2 | C2×#65445 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×C5×#510 | C2 | semidirect |
| 3. #10615618 | C2 | semidirect |
| 4. C22×#3961 | C2 | semidirect |
| 5. #10602870 | C2 | semidirect |
| 6. #10602295 | C2 | semidirect |
| 7. #10602279 | C2 | semidirect |
| 8. #10602238 | C2 | semidirect |
| 9. #10602225 | C2 | semidirect |
| 92. C2×#510 | D5 | semidirect |
| 404. C5 | #33525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66105 | 2 |
| C2×C5×#510 | 2 |
| #10615618 | 2 |
| C22×#3961 | 2 |
| #10602870 | 2 |
| #10602295 | 2 |
| #10602279 | 2 |
| #10602238 | 2 |
| #10602225 | 2 |
| #33525 | 5 |