Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1434 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 1434 conjugacy classes of subgroups — too many to draw. Only its 207 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 | D5×#543 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×D5×#99 | C2 | 1 | 3 | yes | maximal |
| 3 | C5×#2032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10602689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10600818 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | D5×#342 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #10599760 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C22×D4×D5 | C22 | 1 | 1 | yes | characteristic |
| 9 | C5×#543 | C22 | 1 | 1 | yes | characteristic, complemented |
| 10 | #65968 | — | 2 | 6 | no | — |
| 11 | D5×C22⋊Q8 | — | 2 | 6 | no | — |
| 12 | C2×D5×C22⋊C4 | C22 | 1 | 3 | yes | — |
| 13 | C2×D5×C22⋊C4 | C22 | 1 | 3 | yes | — |
| 14 | #65817 | C22 | 1 | 3 | yes | complemented |
| 15 | C2×C5×#99 | C22 | 1 | 3 | yes | — |
| 16 | C2×#3966 | C22 | 1 | 3 | yes | — |
| 17 | C2×#3938 | C22 | 1 | 3 | yes | — |
| 18 | C2×#3938 | C22 | 1 | 3 | yes | — |
| 19 | D5×#99 | — | 2 | 6 | no | — |
| 20 | D5×#99 | — | 2 | 6 | no | — |
| 21 | C5×#342 | C22 | 1 | 3 | yes | complemented |
| 22 | #64747 | C22 | 1 | 3 | yes | complemented |
| 23 | #64747 | C22 | 1 | 3 | yes | complemented |
| 24 | #64746 | C22 | 1 | 3 | yes | complemented |
| 25 | C2×#2032 | — | 5 | 1 | no | maximal, Sylow |
| 26 | C24×D5 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 27 | C24×D5 | C23 | 1 | 1 | yes | characteristic |
| 28 | C22×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 29 | C22×C22⋊D5 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 30 | C22×C22⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 31 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 32 | C2×D4×D5 | — | 2 | 3 | no | — |
| 33 | C2×D4×D5 | — | 2 | 3 | no | — |
| 34 | C2×D4×D5 | — | 2 | 3 | no | — |
| 35 | C2×D4×D5 | — | 2 | 3 | no | — |
| 36 | C22×D20 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 37 | C22×C4×D5 | — | 2 | 3 | no | — |
| 38 | C22×C4×D5 | — | 2 | 3 | no | — |
| 39 | C22×C4×D5 | Q8 | 1 | 1 | yes | characteristic, complemented |
| 40 | C5×C22⋊Q8 | — | 2 | 6 | no | — |
| 41 | C2×C5×C22⋊C4 | C23 | 1 | 3 | yes | — |
| 42 | C2×C5×C22⋊C4 | C23 | 1 | 3 | yes | — |
| 43 | C2×C22⋊Dic5 | C23 | 1 | 3 | yes | — |
| 44 | C2×C22⋊Dic5 | C23 | 1 | 3 | yes | — |
| 45 | #4092 | — | 2 | 6 | no | — |
| 46 | C2×#685 | — | 2 | 3 | no | — |
| 47 | C2×#685 | — | 2 | 3 | no | — |
| 48 | #4070 | — | 2 | 6 | no | — |
| 49 | #4043 | — | 2 | 6 | no | — |
| 50 | #4042 | — | 2 | 12 | no | — |
| 51 | D5×C4⋊C4 | — | 2 | 6 | no | — |
| 52 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 53 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 54 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 55 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 56 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 57 | D5×C22⋊C4 | — | 2 | 3 | no | — |
| 58 | D5×C22⋊C4 | D4 | 1 | 6 | yes | — |
| 59 | D5×C22⋊C4 | D4 | 1 | 6 | yes | — |
| 60 | #4024 | — | 2 | 6 | no | — |
| 61 | #4024 | — | 2 | 6 | no | — |
| 62 | C5×#99 | — | 2 | 6 | no | — |
| 63 | #3966 | — | 2 | 6 | no | — |
| 64 | #3938 | — | 2 | 6 | no | — |
| 65 | #3938 | — | 2 | 6 | no | — |
| 66 | C2×#543 | — | 5 | 1 | no | — |
| 67 | C22×#99 | — | 5 | 3 | no | — |
| 68 | #2032 | — | 5 | 3 | no | — |
| 69 | #2032 | — | 5 | 3 | no | — |
| 70 | #2032 | — | 5 | 1 | no | — |
| 71 | #2032 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 72 | C2×#342 | — | 5 | 3 | no | — |
| 73 | C24×C5 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 74 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 75 | C23×D5 | — | 2 | 3 | no | — |
| 76 | C23×D5 | — | 2 | 3 | no | — |
| 77 | C23×D5 | — | 8 | 2 | no | — |
| 78 | C23×D5 | — | 8 | 2 | no | — |
| 79 | C23×D5 | C2×D4 | 1 | 3 | yes | — |
| 80 | C23×D5 | C2×D4 | 1 | 3 | yes | — |
| 81 | C23×D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 82 | C23×D5 | C2×Q8 | 1 | 1 | yes | characteristic |
| 83 | C23×D5 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 84 | C23×D5 | #41 | 1 | 3 | yes | — |
| 85 | C23×D5 | #41 | 1 | 3 | yes | — |
| 86 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 87 | C2×C5×D4 | — | 2 | 3 | no | — |
| 88 | C2×C5×D4 | — | 2 | 3 | no | — |
| 89 | C22×C4×C5 | — | 2 | 3 | no | — |
| 90 | C22×C4×C5 | — | 2 | 3 | no | — |
| 91 | C22×C4×C5 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 92 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 93 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 94 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 95 | C2×C22⋊D5 | — | 2 | 3 | no | — |
| 96 | C22×Dic5 | — | 2 | 3 | no | — |
| 97 | C22×Dic5 | — | 2 | 3 | no | — |
| 98 | C22×Dic5 | C2×Q8 | 1 | 1 | yes | characteristic, complemented |
| 99 | Q8×D5 | — | 8 | 4 | no | — |
| 100 | D4×D5 | — | 4 | 1 | no | — |
| 101 | D4×D5 | — | 4 | 3 | no | — |
| 102 | D4×D5 | — | 4 | 3 | no | — |
| 103 | D4×D5 | — | 4 | 3 | no | — |
| 104 | D4×D5 | — | 4 | 3 | no | — |
| 105 | D4×D5 | — | 4 | 3 | no | — |
| 106 | C2×D20 | — | 2 | 3 | no | — |
| 107 | C2×D20 | — | 2 | 3 | no | — |
| 108 | C2×C4×D5 | — | 2 | 6 | no | — |
| 109 | C2×C4×D5 | — | 2 | 3 | no | — |
| 110 | C2×C4×D5 | — | 2 | 3 | no | — |
| 111 | C2×C4×D5 | — | 2 | 6 | no | — |
| 112 | C2×C4×D5 | — | 4 | 3 | no | — |
| 113 | C2×C4×D5 | — | 4 | 3 | no | — |
| 114 | C2×C4×D5 | — | 8 | 6 | no | — |
| 115 | C2×C4×D5 | — | 8 | 6 | no | — |
| 116 | C2×Dic10 | — | 2 | 6 | no | — |
| 117 | C5×C4⋊C4 | — | 2 | 6 | no | — |
| 118 | C5×C22⋊C4 | — | 2 | 3 | no | — |
| 119 | C5×C22⋊C4 | — | 2 | 3 | no | — |
| 120 | C5×C22⋊C4 | — | 2 | 3 | no | — |
| 121 | C5×C22⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 122 | C22⋊Dic5 | — | 2 | 3 | no | — |
| 123 | C22⋊Dic5 | — | 2 | 3 | no | — |
| 124 | C22⋊Dic5 | — | 2 | 3 | no | — |
| 125 | C22⋊Dic5 | C2×D4 | 1 | 6 | yes | — |
| 126 | #685 | — | 2 | 6 | no | — |
| 127 | #685 | — | 2 | 6 | no | — |
| 128 | #685 | — | 4 | 3 | no | — |
| 129 | #685 | — | 4 | 3 | no | — |
| 130 | C4⋊Dic5 | — | 2 | 6 | no | — |
| 131 | #683 | — | 2 | 12 | no | — |
| 132 | C23×D4 | — | 5 | 1 | no | — |
| 133 | #543 | — | 5 | 3 | no | — |
| 134 | #543 | — | 10 | 6 | no | — |
| 135 | #543 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 136 | C2×C22⋊Q8 | — | 10 | 6 | no | — |
| 137 | C22×C22⋊C4 | — | 5 | 3 | no | — |
| 138 | C22×C22⋊C4 | — | 5 | 3 | no | — |
| 139 | C2×#99 | — | 5 | 3 | no | — |
| 140 | C2×#99 | — | 5 | 3 | no | — |
| 141 | C2×#99 | — | 5 | 3 | no | — |
| 142 | C2×#99 | — | 10 | 6 | no | — |
| 143 | C2×#99 | — | 10 | 6 | no | — |
| 144 | C2×#99 | C2×D5 | 1 | 3 | yes | — |
| 145 | #342 | — | 5 | 3 | no | — |
| 146 | #342 | — | 5 | 3 | no | — |
| 147 | #342 | — | 5 | 3 | no | — |
| 148 | #342 | C2×D5 | 1 | 3 | yes | complemented |
| 149 | C23×C5 | — | 2 | 3 | no | — |
| 150 | C23×C5 | — | 8 | 1 | no | — |
| 151 | C23×C5 | — | 8 | 1 | no | — |
| 152 | C23×C5 | C22×D4 | 1 | 3 | yes | — |
| 153 | C23×C5 | C22×Q8 | 1 | 1 | yes | characteristic |
| 154 | C23×C5 | C2×#41 | 1 | 3 | yes | — |
| 155 | C22×D5 | — | 2 | 3 | no | — |
| 156 | C22×D5 | — | 4 | 6 | no | — |
| 157 | C22×D5 | — | 4 | 6 | no | — |
| 158 | C22×D5 | — | 4 | 2 | no | — |
| 159 | C22×D5 | — | 4 | 3 | no | — |
| 160 | C22×D5 | — | 4 | 1 | no | — |
| 161 | C22×D5 | — | 8 | 6 | no | — |
| 162 | C22×D5 | — | 8 | 3 | no | — |
| 163 | C22×D5 | — | 8 | 1 | no | — |
| 164 | C22×D5 | — | 8 | 3 | no | — |
| 165 | C22×D5 | — | 8 | 6 | no | — |
| 166 | C22×D5 | — | 8 | 1 | no | — |
| 167 | C22×D5 | #120 | 1 | 1 | yes | characteristic |
| 168 | C22×D5 | #120 | 1 | 3 | yes | — |
| 169 | C22×D5 | C22⋊Q8 | 1 | 3 | yes | — |
| 170 | C22×D5 | C22⋊Q8 | 1 | 3 | yes | — |
| 171 | C22×D5 | C22⋊Q8 | 1 | 3 | yes | — |
| 172 | C22×D5 | C22⋊Q8 | 1 | 3 | yes | — |
| 173 | C22×D5 | #124 | 1 | 3 | yes | — |
| 174 | C22×D5 | #124 | 1 | 3 | yes | — |
| 175 | C22×D5 | #124 | 1 | 3 | yes | — |
| 176 | C22×D5 | #124 | 1 | 3 | yes | — |
| 177 | C5×Q8 | — | 8 | 2 | no | — |
| 178 | C5×D4 | — | 4 | 1 | no | — |
| 179 | C5×D4 | — | 4 | 3 | no | — |
| 180 | C2×C4×C5 | — | 2 | 6 | no | — |
| 181 | C2×C4×C5 | — | 2 | 3 | no | — |
| 182 | C2×C4×C5 | — | 4 | 3 | no | — |
| 183 | C2×C4×C5 | — | 8 | 3 | no | — |
| 184 | C2×C4×C5 | — | 8 | 3 | no | — |
| 185 | C22⋊D5 | — | 4 | 1 | no | — |
| 186 | C22⋊D5 | — | 4 | 3 | no | — |
| 187 | C22⋊D5 | — | 4 | 1 | no | — |
| 188 | C22⋊D5 | — | 4 | 3 | no | — |
| 189 | C2×Dic5 | — | 2 | 6 | no | — |
| 190 | C2×Dic5 | — | 2 | 3 | no | — |
| 191 | C2×Dic5 | — | 4 | 3 | no | — |
| 192 | C2×Dic5 | — | 8 | 3 | no | — |
| 193 | C2×Dic5 | — | 8 | 3 | no | — |
| 194 | D20 | — | 4 | 1 | no | — |
| 195 | D20 | — | 4 | 3 | no | — |
| 196 | C4×D5 | — | 4 | 12 | no | — |
| 197 | C4×D5 | — | 4 | 3 | no | — |
| 198 | C4×D5 | — | 4 | 1 | no | — |
| 199 | C4×D5 | — | 8 | 6 | no | — |
| 200 | C4×D5 | — | 8 | 6 | no | — |
| 201 | C4×D5 | — | 8 | 6 | no | — |
| 202 | Dic10 | — | 8 | 6 | no | — |
| 203 | C25 | — | 5 | 1 | no | — |
| 204 | C25 | — | 5 | 1 | no | — |
| 205 | C22×Q8 | — | 10 | 2 | no | — |
| 206 | C22×D4 | — | 5 | 1 | no | — |
| 207 | C22×D4 | — | 5 | 1 | no | — |
| 208 | C22×D4 | — | 5 | 1 | no | — |
| 209 | C22×D4 | — | 10 | 3 | no | — |
| 210 | C22×D4 | — | 10 | 3 | no | — |
| 211 | C22×D4 | — | 10 | 3 | no | — |
| 212 | C22×D4 | — | 10 | 3 | no | — |
| 213 | C22×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 214 | C23×C4 | — | 5 | 1 | no | — |
| 215 | C23×C4 | — | 10 | 3 | no | — |
| 216 | C23×C4 | — | 10 | 3 | no | — |
| 217 | C22⋊Q8 | — | 2 | 6 | no | — |
| 218 | C22⋊Q8 | — | 10 | 6 | no | — |
| 219 | C22⋊Q8 | — | 10 | 6 | no | — |
| 220 | C22⋊Q8 | — | 10 | 12 | no | — |
| 221 | C22⋊Q8 | — | 10 | 6 | no | — |
| 222 | C22⋊Q8 | — | 10 | 6 | no | — |
| 223 | C22⋊Q8 | — | 10 | 6 | no | — |
| 224 | C2×C4⋊C4 | — | 10 | 6 | no | — |
| 225 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 226 | C2×C22⋊C4 | — | 5 | 6 | no | — |
| 227 | C2×C22⋊C4 | — | 5 | 6 | no | — |
| 228 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 229 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 230 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 231 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 232 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 233 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 234 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 235 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 236 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 237 | C2×C22⋊C4 | C22×D5 | 1 | 3 | yes | — |
| 238 | C2×C22⋊C4 | C22×D5 | 1 | 3 | yes | — |
| 239 | #99 | — | 2 | 6 | no | — |
| 240 | #99 | — | 10 | 6 | no | — |
| 241 | #99 | — | 10 | 6 | no | — |
| 242 | #99 | — | 10 | 6 | no | — |
| 243 | C22×C5 | — | 4 | 3 | no | — |
| 244 | C22×C5 | — | 4 | 3 | no | — |
| 245 | C22×C5 | — | 4 | 1 | no | — |
| 246 | C22×C5 | — | 4 | 1 | no | — |
| 247 | C22×C5 | — | 8 | 3 | no | — |
| 248 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 249 | C22×C5 | C2×C22⋊Q8 | 1 | 3 | yes | — |
| 250 | C22×C5 | C2×#124 | 1 | 3 | yes | — |
| 251 | C2×D5 | — | 2 | 2 | no | — |
| 252 | C2×D5 | — | 2 | 6 | no | — |
| 253 | C2×D5 | — | 2 | 6 | no | — |
| 254 | C2×D5 | — | 4 | 3 | no | — |
| 255 | C2×D5 | — | 4 | 3 | no | — |
| 256 | C2×D5 | — | 4 | 3 | no | — |
| 257 | C2×D5 | — | 4 | 3 | no | — |
| 258 | C2×D5 | — | 4 | 3 | no | — |
| 259 | C2×D5 | — | 4 | 3 | no | — |
| 260 | C2×D5 | — | 4 | 3 | no | — |
| 261 | C2×D5 | — | 4 | 1 | no | — |
| 262 | C2×D5 | — | 8 | 6 | no | — |
| 263 | C2×D5 | — | 8 | 2 | no | — |
| 264 | C2×D5 | — | 8 | 3 | no | — |
| 265 | C2×D5 | #393 | 1 | 3 | yes | — |
| 266 | C2×D5 | #393 | 1 | 1 | yes | characteristic |
| 267 | C2×D5 | #393 | 1 | 3 | yes | — |
| 268 | C2×D5 | #393 | 1 | 1 | yes | characteristic |
| 269 | C4×C5 | — | 4 | 6 | no | — |
| 270 | C4×C5 | — | 4 | 1 | no | — |
| 271 | C4×C5 | — | 8 | 3 | no | — |
| 272 | Dic5 | — | 4 | 6 | no | — |
| 273 | Dic5 | — | 4 | 1 | no | — |
| 274 | Dic5 | — | 8 | 3 | no | — |
| 275 | C24 | — | 5 | 3 | no | — |
| 276 | C24 | — | 5 | 1 | no | — |
| 277 | C24 | — | 5 | 3 | no | — |
| 278 | C24 | — | 5 | 3 | no | — |
| 279 | C24 | — | 5 | 1 | no | — |
| 280 | C24 | — | 5 | 3 | no | — |
| 281 | C24 | — | 5 | 1 | no | — |
| 282 | C24 | — | 10 | 3 | no | — |
| 283 | C24 | — | 10 | 3 | no | — |
| 284 | C24 | — | 40 | 2 | no | — |
| 285 | C24 | — | 40 | 2 | no | — |
| 286 | C24 | Q8×D5 | 1 | 1 | yes | characteristic, complemented |
| 287 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 288 | C2×Q8 | — | 2 | 2 | no | — |
| 289 | C2×Q8 | — | 10 | 6 | no | — |
| 290 | C2×Q8 | — | 40 | 4 | no | — |
| 291 | C2×D4 | — | 2 | 3 | no | — |
| 292 | C2×D4 | — | 2 | 3 | no | — |
| 293 | C2×D4 | — | 10 | 3 | no | — |
| 294 | C2×D4 | — | 10 | 3 | no | — |
| 295 | C2×D4 | — | 10 | 3 | no | — |
| 296 | C2×D4 | — | 10 | 3 | no | — |
| 297 | C2×D4 | — | 10 | 3 | no | — |
| 298 | C2×D4 | — | 10 | 3 | no | — |
| 299 | C2×D4 | — | 20 | 1 | no | — |
| 300 | C2×D4 | — | 20 | 3 | no | — |
| 301 | C2×D4 | — | 20 | 3 | no | — |
| 302 | C2×D4 | — | 20 | 3 | no | — |
| 303 | C2×D4 | — | 20 | 3 | no | — |
| 304 | C2×D4 | — | 20 | 3 | no | — |
| 305 | C22×C4 | — | 2 | 3 | no | — |
| 306 | C22×C4 | — | 2 | 3 | no | — |
| 307 | C22×C4 | — | 5 | 1 | no | — |
| 308 | C22×C4 | — | 10 | 6 | no | — |
| 309 | C22×C4 | — | 10 | 3 | no | — |
| 310 | C22×C4 | — | 10 | 3 | no | — |
| 311 | C22×C4 | — | 10 | 6 | no | — |
| 312 | C22×C4 | — | 10 | 3 | no | — |
| 313 | C22×C4 | — | 10 | 3 | no | — |
| 314 | C22×C4 | — | 20 | 3 | no | — |
| 315 | C22×C4 | — | 20 | 3 | no | — |
| 316 | C22×C4 | — | 40 | 6 | no | — |
| 317 | C22×C4 | — | 40 | 6 | no | — |
| 318 | C22×C4 | Q8×D5 | 1 | 1 | yes | characteristic, complemented |
| 319 | C4⋊C4 | — | 2 | 6 | no | — |
| 320 | C4⋊C4 | — | 10 | 12 | no | — |
| 321 | C4⋊C4 | — | 10 | 6 | no | — |
| 322 | C22⋊C4 | — | 2 | 3 | no | — |
| 323 | C22⋊C4 | — | 2 | 3 | no | — |
| 324 | C22⋊C4 | — | 2 | 3 | no | — |
| 325 | C22⋊C4 | — | 5 | 6 | no | — |
| 326 | C22⋊C4 | — | 10 | 6 | no | — |
| 327 | C22⋊C4 | — | 10 | 6 | no | — |
| 328 | C22⋊C4 | — | 10 | 3 | no | — |
| 329 | C22⋊C4 | — | 10 | 3 | no | — |
| 330 | C22⋊C4 | — | 10 | 3 | no | — |
| 331 | C22⋊C4 | — | 20 | 3 | no | — |
| 332 | C22⋊C4 | — | 20 | 3 | no | — |
| 333 | C22⋊C4 | D4×D5 | 1 | 6 | yes | — |
| 334 | C2×C5 | — | 2 | 1 | no | — |
| 335 | C2×C5 | — | 2 | 3 | no | — |
| 336 | C2×C5 | — | 2 | 3 | no | — |
| 337 | C2×C5 | — | 8 | 1 | no | — |
| 338 | C2×C5 | C2×#393 | 1 | 1 | yes | characteristic |
| 339 | D5 | — | 2 | 3 | no | — |
| 340 | D5 | — | 2 | 1 | no | — |
| 341 | D5 | — | 2 | 3 | no | — |
| 342 | D5 | — | 8 | 1 | no | — |
| 343 | D5 | #2032 | 1 | 2 | yes | direct product factor |
| 344 | C23 | — | 2 | 3 | no | — |
| 345 | C23 | — | 5 | 1 | no | — |
| 346 | C23 | — | 5 | 3 | no | — |
| 347 | C23 | — | 5 | 3 | no | — |
| 348 | C23 | — | 5 | 3 | no | — |
| 349 | C23 | — | 5 | 3 | no | — |
| 350 | C23 | — | 5 | 3 | no | — |
| 351 | C23 | — | 5 | 3 | no | — |
| 352 | C23 | — | 5 | 3 | no | — |
| 353 | C23 | — | 5 | 3 | no | — |
| 354 | C23 | — | 5 | 3 | no | — |
| 355 | C23 | — | 8 | 1 | no | — |
| 356 | C23 | — | 8 | 1 | no | — |
| 357 | C23 | — | 10 | 3 | no | — |
| 358 | C23 | — | 20 | 1 | no | — |
| 359 | C23 | — | 20 | 3 | no | — |
| 360 | C23 | — | 20 | 6 | no | — |
| 361 | C23 | — | 20 | 6 | no | — |
| 362 | C23 | — | 20 | 2 | no | — |
| 363 | C23 | — | 40 | 3 | no | — |
| 364 | C23 | — | 40 | 3 | no | — |
| 365 | C23 | — | 40 | 1 | no | — |
| 366 | C23 | — | 40 | 1 | no | — |
| 367 | C23 | — | 40 | 6 | no | — |
| 368 | C23 | — | 40 | 6 | no | — |
| 369 | C23 | C2×D4×D5 | 1 | 3 | yes | — |
| 370 | C23 | C2×Q8×D5 | 1 | 1 | yes | characteristic |
| 371 | C23 | D5×#41 | 1 | 3 | yes | — |
| 372 | Q8 | — | 8 | 2 | no | — |
| 373 | Q8 | — | 40 | 6 | no | — |
| 374 | D4 | — | 4 | 1 | no | — |
| 375 | D4 | — | 4 | 3 | no | — |
| 376 | D4 | — | 20 | 1 | no | — |
| 377 | D4 | — | 20 | 3 | no | — |
| 378 | D4 | — | 20 | 1 | no | — |
| 379 | D4 | — | 20 | 3 | no | — |
| 380 | D4 | — | 20 | 1 | no | — |
| 381 | D4 | — | 20 | 3 | no | — |
| 382 | C2×C4 | — | 2 | 6 | no | — |
| 383 | C2×C4 | — | 2 | 3 | no | — |
| 384 | C2×C4 | — | 4 | 3 | no | — |
| 385 | C2×C4 | — | 8 | 3 | no | — |
| 386 | C2×C4 | — | 8 | 3 | no | — |
| 387 | C2×C4 | — | 10 | 6 | no | — |
| 388 | C2×C4 | — | 10 | 3 | no | — |
| 389 | C2×C4 | — | 20 | 1 | no | — |
| 390 | C2×C4 | — | 20 | 3 | no | — |
| 391 | C2×C4 | — | 20 | 12 | no | — |
| 392 | C2×C4 | — | 20 | 3 | no | — |
| 393 | C2×C4 | — | 40 | 6 | no | — |
| 394 | C2×C4 | — | 40 | 6 | no | — |
| 395 | C2×C4 | — | 40 | 6 | no | — |
| 396 | C2×C4 | — | 40 | 3 | no | — |
| 397 | C2×C4 | — | 40 | 3 | no | — |
| 398 | C5 | C2×#2032 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 399 | C22 | — | 4 | 3 | no | — |
| 400 | C22 | — | 4 | 3 | no | — |
| 401 | C22 | — | 4 | 1 | no | — |
| 402 | C22 | — | 4 | 1 | no | — |
| 403 | C22 | — | 5 | 1 | no | — |
| 404 | C22 | — | 5 | 3 | no | — |
| 405 | C22 | — | 5 | 1 | no | — |
| 406 | C22 | — | 5 | 3 | no | — |
| 407 | C22 | — | 8 | 3 | no | — |
| 408 | C22 | — | 10 | 2 | no | — |
| 409 | C22 | — | 10 | 6 | no | — |
| 410 | C22 | — | 10 | 6 | no | — |
| 411 | C22 | — | 20 | 3 | no | — |
| 412 | C22 | — | 20 | 3 | no | — |
| 413 | C22 | — | 20 | 3 | no | — |
| 414 | C22 | — | 20 | 3 | no | — |
| 415 | C22 | — | 20 | 3 | no | — |
| 416 | C22 | — | 20 | 3 | no | — |
| 417 | C22 | — | 20 | 3 | no | — |
| 418 | C22 | — | 20 | 1 | no | — |
| 419 | C22 | — | 40 | 3 | no | — |
| 420 | C22 | — | 40 | 2 | no | — |
| 421 | C22 | — | 40 | 6 | no | — |
| 422 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 423 | C22 | D5×C22⋊Q8 | 1 | 3 | yes | — |
| 424 | C22 | D5×#124 | 1 | 3 | yes | — |
| 425 | C4 | — | 4 | 6 | no | — |
| 426 | C4 | — | 4 | 1 | no | — |
| 427 | C4 | — | 8 | 3 | no | — |
| 428 | C4 | — | 20 | 6 | no | — |
| 429 | C4 | — | 20 | 1 | no | — |
| 430 | C4 | — | 40 | 3 | no | — |
| 431 | C2 | — | 2 | 1 | no | — |
| 432 | C2 | — | 2 | 3 | no | — |
| 433 | C2 | — | 2 | 3 | no | — |
| 434 | C2 | — | 5 | 2 | no | — |
| 435 | C2 | — | 8 | 1 | no | — |
| 436 | C2 | — | 10 | 3 | no | — |
| 437 | C2 | — | 10 | 1 | no | — |
| 438 | C2 | — | 10 | 3 | no | — |
| 439 | C2 | — | 40 | 1 | no | — |
| 440 | C2 | D5×#393 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D5×#543 | C2 | semidirect |
| 3. C5×#2032 | C2 | semidirect |
| 4. #10602689 | C2 | semidirect |
| 5. #10600818 | C2 | semidirect |
| 6. D5×#342 | C2 | semidirect |
| 7. #10599760 | C2 | semidirect |
| 9. C5×#543 | C22 | semidirect |
| 14. #65817 | C22 | semidirect |
| 21. C5×#342 | C22 | semidirect |
| 22. #64747 | C22 | semidirect |
| 23. #64747 | C22 | semidirect |
| 24. #64746 | C22 | semidirect |
| 26. C24×D5 | Q8 | semidirect |
| 29. C22×C22⋊D5 | Q8 | semidirect |
| 36. C22×D20 | Q8 | semidirect |
| 39. C22×C4×D5 | Q8 | semidirect |
| 71. #2032 | D5 | direct (N × H) |
| 73. C24×C5 | C2×Q8 | semidirect |
| 83. C23×D5 | C2×Q8 | semidirect |
| 91. C22×C4×C5 | C2×Q8 | semidirect |
| 98. C22×Dic5 | C2×Q8 | semidirect |
| 135. #543 | C2×D5 | semidirect |
| 148. #342 | C2×D5 | semidirect |
| 286. C24 | Q8×D5 | semidirect |
| 318. C22×C4 | Q8×D5 | semidirect |
| 343. D5 | #2032 | direct (N × H) |
| 398. C5 | C2×#2032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#543 | 2 |
| C2×D5×#99 | 2 |
| C5×#2032 | 2 |
| #10602689 | 2 |
| #10600818 | 2 |
| D5×#342 | 2 |
| #10599760 | 2 |
| C2×#2032 | 5 |