Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
408 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 59 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 | #10608327 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#2007 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10602673 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10602668 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10598134 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10597987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10597985 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C5×#137 | — | 2 | 1 | no | — |
| 9 | C5×#537 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C5×#104 | — | 2 | 1 | no | — |
| 11 | C5×#391 | C22 | 1 | 1 | yes | characteristic |
| 12 | #65519 | — | 2 | 1 | no | — |
| 13 | #65329 | — | 2 | 1 | no | — |
| 14 | #65323 | — | 2 | 1 | no | — |
| 15 | #65275 | C22 | 1 | 1 | yes | characteristic |
| 16 | #65268 | C22 | 1 | 1 | yes | characteristic |
| 17 | #65222 | — | 2 | 1 | no | — |
| 18 | #64949 | — | 2 | 1 | no | — |
| 19 | #64946 | — | 2 | 1 | no | — |
| 20 | #64944 | — | 2 | 1 | no | — |
| 21 | #64935 | — | 2 | 1 | no | — |
| 22 | C5×#343 | C22 | 1 | 1 | yes | characteristic |
| 23 | #64757 | — | 2 | 1 | no | — |
| 24 | #64757 | — | 2 | 1 | no | — |
| 25 | #64748 | C22 | 1 | 1 | yes | characteristic |
| 26 | #64748 | C22 | 1 | 1 | yes | characteristic |
| 27 | #12128 | — | 5 | 1 | no | maximal, Sylow |
| 28 | C2×C5×#41 | — | 2 | 1 | no | — |
| 29 | C22×C5×Q8 | D4 | 1 | 1 | yes | characteristic |
| 30 | C22×Dic10 | D4 | 1 | 1 | yes | characteristic |
| 31 | C5×#137 | — | 4 | 2 | no | — |
| 32 | C5×#137 | — | 4 | 2 | no | — |
| 33 | C2×C5×Q16 | — | 4 | 1 | no | — |
| 34 | C2×C5×SD16 | — | 4 | 1 | no | — |
| 35 | C2×C5×M16 | — | 2 | 1 | no | — |
| 36 | C5×C22⋊Q8 | — | 4 | 1 | no | — |
| 37 | C5×#121 | — | 2 | 1 | no | — |
| 38 | C5×#121 | — | 2 | 1 | no | — |
| 39 | C5×#121 | — | 4 | 1 | no | — |
| 40 | C2×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×C42×C5 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#687 | — | 4 | 1 | no | — |
| 43 | C2×C4⋊Dic5 | — | 2 | 1 | no | — |
| 44 | C2×C4⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×#683 | — | 2 | 1 | no | — |
| 46 | C2×#683 | — | 2 | 1 | no | — |
| 47 | C2×#683 | — | 2 | 1 | no | — |
| 48 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 49 | C5×#104 | — | 4 | 2 | no | — |
| 50 | C5×#95 | — | 2 | 1 | no | — |
| 51 | C5×#95 | — | 2 | 1 | no | — |
| 52 | #3964 | — | 4 | 1 | no | — |
| 53 | #3963 | — | 2 | 1 | no | — |
| 54 | #3963 | — | 2 | 1 | no | — |
| 55 | #3963 | — | 2 | 1 | no | — |
| 56 | #3963 | — | 2 | 1 | no | — |
| 57 | #3963 | — | 2 | 1 | no | — |
| 58 | #3963 | — | 2 | 1 | no | — |
| 59 | #3963 | — | 2 | 1 | no | — |
| 60 | #3963 | D4 | 1 | 1 | yes | characteristic |
| 61 | #3963 | D4 | 1 | 1 | yes | characteristic |
| 62 | C22⋊#168 | — | 2 | 1 | no | — |
| 63 | C22⋊#168 | — | 2 | 1 | no | — |
| 64 | #3942 | — | 4 | 1 | no | — |
| 65 | #3940 | — | 4 | 1 | no | — |
| 66 | #2799 | — | 5 | 1 | no | — |
| 67 | #2007 | D5 | 1 | 1 | yes | characteristic |
| 68 | #1616 | — | 5 | 1 | no | — |
| 69 | #1604 | — | 5 | 1 | no | — |
| 70 | #1354 | — | 5 | 1 | no | — |
| 71 | #1353 | — | 5 | 1 | no | — |
| 72 | #1319 | — | 5 | 1 | no | — |
| 73 | C5×#41 | — | 4 | 1 | no | — |
| 74 | C5×#41 | — | 4 | 1 | no | — |
| 75 | C5×#41 | — | 4 | 1 | no | — |
| 76 | C5×#41 | — | 4 | 1 | no | — |
| 77 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 78 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 79 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 80 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 81 | C2×C5×Q8 | SD16 | 1 | 2 | yes | complemented |
| 82 | C2×C5×D4 | — | 2 | 1 | no | — |
| 83 | C2×C5×D4 | — | 2 | 1 | no | — |
| 84 | C2×C5×D4 | — | 2 | 1 | no | — |
| 85 | C2×C5×D4 | — | 4 | 1 | no | — |
| 86 | C22×C4×C5 | — | 2 | 1 | no | — |
| 87 | C22×C4×C5 | — | 2 | 1 | no | — |
| 88 | C22×C4×C5 | — | 4 | 1 | no | — |
| 89 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 92 | C22×Dic5 | — | 2 | 1 | no | — |
| 93 | C22×Dic5 | — | 2 | 1 | no | — |
| 94 | C22×Dic5 | — | 2 | 1 | no | — |
| 95 | C22×Dic5 | — | 2 | 1 | no | — |
| 96 | C2×Dic10 | — | 4 | 1 | no | — |
| 97 | C2×Dic10 | — | 4 | 2 | no | — |
| 98 | C5×Q16 | — | 4 | 4 | no | — |
| 99 | C5×SD16 | — | 4 | 4 | no | — |
| 100 | C5×M16 | — | 2 | 2 | no | — |
| 101 | C5×M16 | — | 4 | 1 | no | — |
| 102 | C2×C5×C8 | — | 4 | 1 | no | — |
| 103 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 104 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 105 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 106 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 107 | C5×C22⋊C4 | — | 4 | 1 | no | — |
| 108 | C42×C5 | — | 4 | 1 | no | — |
| 109 | #687 | — | 8 | 2 | no | — |
| 110 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 111 | C4⋊Dic5 | — | 8 | 1 | no | — |
| 112 | #683 | — | 4 | 2 | no | — |
| 113 | #683 | — | 4 | 2 | no | — |
| 114 | #683 | — | 8 | 1 | no | — |
| 115 | C4×Dic5 | — | 8 | 1 | no | — |
| 116 | C2×#168 | — | 4 | 1 | no | — |
| 117 | C2×#168 | — | 4 | 1 | no | — |
| 118 | C2×#137 | — | 2 | 1 | no | — |
| 119 | #537 | C2×D5 | 1 | 1 | yes | characteristic |
| 120 | #481 | — | 10 | 1 | no | — |
| 121 | #448 | — | 10 | 1 | no | — |
| 122 | C2×#104 | — | 2 | 1 | no | — |
| 123 | #400 | — | 5 | 1 | no | — |
| 124 | #400 | — | 10 | 1 | no | — |
| 125 | #398 | — | 10 | 1 | no | — |
| 126 | #395 | — | 5 | 1 | no | — |
| 127 | #391 | — | 10 | 1 | no | — |
| 128 | #391 | — | 10 | 1 | no | — |
| 129 | #391 | C2×D5 | 1 | 1 | yes | characteristic |
| 130 | #387 | — | 10 | 1 | no | — |
| 131 | #387 | — | 10 | 1 | no | — |
| 132 | #343 | C2×D5 | 1 | 1 | yes | characteristic |
| 133 | #327 | — | 10 | 1 | no | — |
| 134 | #327 | — | 10 | 1 | no | — |
| 135 | #324 | — | 5 | 1 | no | — |
| 136 | #324 | — | 5 | 1 | no | — |
| 137 | C23×C5 | — | 4 | 1 | no | — |
| 138 | C23×C5 | #120 | 1 | 1 | yes | characteristic |
| 139 | C5×Q8 | — | 4 | 2 | no | — |
| 140 | C5×Q8 | — | 4 | 1 | no | — |
| 141 | C5×Q8 | — | 4 | 1 | no | — |
| 142 | C5×Q8 | — | 8 | 1 | no | — |
| 143 | C5×D4 | — | 4 | 1 | no | — |
| 144 | C5×D4 | — | 4 | 1 | no | — |
| 145 | C5×D4 | — | 8 | 1 | no | — |
| 146 | C5×D4 | — | 8 | 1 | no | — |
| 147 | C5×D4 | — | 8 | 1 | no | — |
| 148 | C5×D4 | — | 8 | 1 | no | — |
| 149 | C2×C4×C5 | — | 2 | 1 | no | — |
| 150 | C2×C4×C5 | — | 2 | 1 | no | — |
| 151 | C2×C4×C5 | — | 2 | 2 | no | — |
| 152 | C2×C4×C5 | — | 2 | 1 | no | — |
| 153 | C2×C4×C5 | — | 2 | 1 | no | — |
| 154 | C2×C4×C5 | — | 4 | 1 | no | — |
| 155 | C2×C4×C5 | — | 4 | 1 | no | — |
| 156 | C2×C4×C5 | — | 4 | 1 | no | — |
| 157 | C2×C4×C5 | — | 4 | 1 | no | — |
| 158 | C2×C4×C5 | — | 4 | 1 | no | — |
| 159 | C2×C4×C5 | — | 4 | 1 | no | — |
| 160 | C2×C4×C5 | — | 4 | 1 | no | — |
| 161 | C2×C4×C5 | — | 4 | 1 | no | — |
| 162 | C2×C4×C5 | — | 8 | 1 | no | — |
| 163 | C2×C4×C5 | — | 8 | 1 | no | — |
| 164 | C2×C4×C5 | C2×SD16 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C5 | #137 | 1 | 1 | yes | characteristic |
| 166 | C2×Dic5 | — | 2 | 2 | no | — |
| 167 | C2×Dic5 | — | 4 | 1 | no | — |
| 168 | C2×Dic5 | — | 4 | 1 | no | — |
| 169 | C2×Dic5 | — | 4 | 1 | no | — |
| 170 | C2×Dic5 | — | 4 | 1 | no | — |
| 171 | C2×Dic5 | — | 4 | 1 | no | — |
| 172 | C2×Dic5 | — | 4 | 1 | no | — |
| 173 | C2×Dic5 | — | 4 | 2 | no | — |
| 174 | C2×Dic5 | — | 4 | 1 | no | — |
| 175 | C2×Dic5 | — | 4 | 1 | no | — |
| 176 | C2×Dic5 | — | 4 | 1 | no | — |
| 177 | Dic10 | — | 4 | 2 | no | — |
| 178 | Dic10 | — | 8 | 1 | no | — |
| 179 | C5×C8 | — | 4 | 2 | no | — |
| 180 | #168 | — | 8 | 1 | no | — |
| 181 | #168 | — | 8 | 1 | no | — |
| 182 | C2×#41 | — | 2 | 1 | no | — |
| 183 | C22×Q8 | — | 5 | 1 | no | — |
| 184 | C22×Q8 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 185 | #137 | — | 4 | 2 | no | — |
| 186 | #137 | — | 4 | 2 | no | — |
| 187 | C2×Q16 | — | 4 | 1 | no | — |
| 188 | C2×SD16 | — | 4 | 1 | no | — |
| 189 | C2×SD16 | — | 20 | 1 | no | — |
| 190 | C2×M16 | — | 2 | 1 | no | — |
| 191 | C22⋊Q8 | — | 4 | 1 | no | — |
| 192 | #121 | — | 2 | 1 | no | — |
| 193 | #121 | — | 2 | 1 | no | — |
| 194 | #121 | — | 4 | 1 | no | — |
| 195 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 196 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 197 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 198 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 199 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 200 | C2×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 201 | C2×C42 | — | 10 | 1 | no | — |
| 202 | C2×C42 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 203 | #106 | — | 20 | 1 | no | — |
| 204 | #104 | — | 4 | 2 | no | — |
| 205 | #103 | — | 20 | 1 | no | — |
| 206 | #102 | — | 20 | 1 | no | — |
| 207 | C22⋊C8 | — | 10 | 1 | no | — |
| 208 | C22⋊C8 | — | 10 | 1 | no | — |
| 209 | #95 | — | 2 | 1 | no | — |
| 210 | #95 | — | 2 | 1 | no | — |
| 211 | #95 | — | 5 | 1 | no | — |
| 212 | #95 | — | 5 | 1 | no | — |
| 213 | #95 | — | 10 | 1 | no | — |
| 214 | #95 | — | 10 | 1 | no | — |
| 215 | #95 | — | 10 | 1 | no | — |
| 216 | #95 | — | 10 | 1 | no | — |
| 217 | #95 | — | 10 | 1 | no | — |
| 218 | #95 | — | 10 | 1 | no | — |
| 219 | #95 | — | 10 | 1 | no | — |
| 220 | C22×C5 | — | 2 | 1 | no | — |
| 221 | C22×C5 | — | 2 | 1 | no | — |
| 222 | C22×C5 | — | 8 | 1 | no | — |
| 223 | C22×C5 | — | 8 | 1 | no | — |
| 224 | C22×C5 | — | 8 | 1 | no | — |
| 225 | C22×C5 | #448 | 1 | 1 | yes | characteristic |
| 226 | C22×C5 | #453 | 1 | 1 | yes | characteristic |
| 227 | C22×C5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 228 | C4×C5 | — | 2 | 1 | no | — |
| 229 | C4×C5 | — | 2 | 1 | no | — |
| 230 | C4×C5 | — | 4 | 2 | no | — |
| 231 | C4×C5 | — | 4 | 1 | no | — |
| 232 | C4×C5 | — | 4 | 1 | no | — |
| 233 | C4×C5 | — | 8 | 1 | no | — |
| 234 | C4×C5 | — | 8 | 1 | no | — |
| 235 | Dic5 | — | 4 | 2 | no | — |
| 236 | Dic5 | — | 8 | 1 | no | — |
| 237 | Dic5 | — | 8 | 1 | no | — |
| 238 | Dic5 | — | 8 | 1 | no | — |
| 239 | #41 | — | 4 | 1 | no | — |
| 240 | #41 | — | 4 | 1 | no | — |
| 241 | #41 | — | 4 | 1 | no | — |
| 242 | #41 | — | 4 | 1 | no | — |
| 243 | C2×Q8 | — | 2 | 1 | no | — |
| 244 | C2×Q8 | — | 2 | 1 | no | — |
| 245 | C2×Q8 | — | 4 | 1 | no | — |
| 246 | C2×Q8 | — | 4 | 1 | no | — |
| 247 | C2×Q8 | — | 20 | 1 | no | — |
| 248 | C2×Q8 | — | 20 | 2 | no | — |
| 249 | C2×Q8 | #687 | 1 | 2 | yes | complemented |
| 250 | C2×D4 | — | 2 | 1 | no | — |
| 251 | C2×D4 | — | 2 | 1 | no | — |
| 252 | C2×D4 | — | 2 | 1 | no | — |
| 253 | C2×D4 | — | 4 | 1 | no | — |
| 254 | C22×C4 | — | 2 | 1 | no | — |
| 255 | C22×C4 | — | 2 | 1 | no | — |
| 256 | C22×C4 | — | 4 | 1 | no | — |
| 257 | C22×C4 | — | 10 | 1 | no | — |
| 258 | C22×C4 | — | 10 | 1 | no | — |
| 259 | C22×C4 | — | 10 | 1 | no | — |
| 260 | C22×C4 | — | 10 | 1 | no | — |
| 261 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 262 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 263 | C22×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 264 | Q16 | — | 4 | 4 | no | — |
| 265 | SD16 | — | 4 | 4 | no | — |
| 266 | SD16 | — | 40 | 2 | no | — |
| 267 | M16 | — | 2 | 2 | no | — |
| 268 | M16 | — | 4 | 1 | no | — |
| 269 | C2×C8 | — | 4 | 1 | no | — |
| 270 | C2×C8 | — | 20 | 1 | no | — |
| 271 | C2×C8 | — | 20 | 1 | no | — |
| 272 | C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C4⋊C4 | — | 2 | 1 | no | — |
| 274 | C4⋊C4 | — | 4 | 1 | no | — |
| 275 | C4⋊C4 | — | 20 | 1 | no | — |
| 276 | C4⋊C4 | — | 20 | 2 | no | — |
| 277 | C4⋊C4 | — | 20 | 2 | no | — |
| 278 | C4⋊C4 | — | 40 | 1 | no | — |
| 279 | C4⋊C4 | — | 40 | 1 | no | — |
| 280 | C22⋊C4 | — | 4 | 1 | no | — |
| 281 | C22⋊C4 | — | 4 | 1 | no | — |
| 282 | C42 | — | 4 | 1 | no | — |
| 283 | C42 | — | 40 | 1 | no | — |
| 284 | C2×C5 | — | 2 | 1 | no | — |
| 285 | C2×C5 | — | 2 | 1 | no | — |
| 286 | C2×C5 | — | 16 | 1 | no | — |
| 287 | C2×C5 | #1596 | 1 | 1 | yes | characteristic |
| 288 | C2×C5 | #2197 | 1 | 1 | yes | characteristic |
| 289 | C2×C5 | #2203 | 1 | 1 | yes | characteristic |
| 290 | C23 | — | 4 | 1 | no | — |
| 291 | C23 | #4083 | 1 | 1 | yes | characteristic |
| 292 | Q8 | — | 4 | 2 | no | — |
| 293 | Q8 | — | 4 | 1 | no | — |
| 294 | Q8 | — | 4 | 1 | no | — |
| 295 | Q8 | — | 8 | 1 | no | — |
| 296 | Q8 | — | 20 | 2 | no | — |
| 297 | Q8 | — | 40 | 1 | no | — |
| 298 | D4 | — | 4 | 1 | no | — |
| 299 | D4 | — | 4 | 1 | no | — |
| 300 | D4 | — | 8 | 1 | no | — |
| 301 | D4 | — | 8 | 1 | no | — |
| 302 | D4 | — | 8 | 1 | no | — |
| 303 | D4 | — | 8 | 1 | no | — |
| 304 | C2×C4 | — | 2 | 1 | no | — |
| 305 | C2×C4 | — | 2 | 1 | no | — |
| 306 | C2×C4 | — | 2 | 1 | no | — |
| 307 | C2×C4 | — | 2 | 1 | no | — |
| 308 | C2×C4 | — | 2 | 2 | no | — |
| 309 | C2×C4 | — | 4 | 1 | no | — |
| 310 | C2×C4 | — | 4 | 1 | no | — |
| 311 | C2×C4 | — | 4 | 1 | no | — |
| 312 | C2×C4 | — | 4 | 1 | no | — |
| 313 | C2×C4 | — | 4 | 1 | no | — |
| 314 | C2×C4 | — | 4 | 1 | no | — |
| 315 | C2×C4 | — | 4 | 1 | no | — |
| 316 | C2×C4 | — | 4 | 1 | no | — |
| 317 | C2×C4 | — | 8 | 1 | no | — |
| 318 | C2×C4 | — | 8 | 1 | no | — |
| 319 | C2×C4 | — | 10 | 2 | no | — |
| 320 | C2×C4 | — | 20 | 1 | no | — |
| 321 | C2×C4 | — | 20 | 1 | no | — |
| 322 | C2×C4 | — | 20 | 1 | no | — |
| 323 | C2×C4 | — | 20 | 1 | no | — |
| 324 | C2×C4 | — | 20 | 1 | no | — |
| 325 | C2×C4 | — | 20 | 1 | no | — |
| 326 | C2×C4 | — | 20 | 2 | no | — |
| 327 | C2×C4 | — | 20 | 1 | no | — |
| 328 | C2×C4 | — | 20 | 1 | no | — |
| 329 | C2×C4 | — | 20 | 1 | no | — |
| 330 | C2×C4 | C2×#687 | 1 | 1 | yes | characteristic |
| 331 | C2×C4 | #4097 | 1 | 1 | yes | characteristic |
| 332 | C8 | — | 4 | 2 | no | — |
| 333 | C8 | — | 40 | 1 | no | — |
| 334 | C8 | — | 40 | 1 | no | — |
| 335 | C5 | #12128 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 336 | C22 | — | 2 | 1 | no | — |
| 337 | C22 | — | 2 | 1 | no | — |
| 338 | C22 | — | 8 | 1 | no | — |
| 339 | C22 | — | 8 | 1 | no | — |
| 340 | C22 | — | 8 | 1 | no | — |
| 341 | C22 | #65321 | 1 | 1 | yes | characteristic |
| 342 | C22 | #65329 | 1 | 1 | yes | characteristic |
| 343 | C22 | #65366 | 1 | 1 | yes | characteristic |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 2 | 1 | no | — |
| 346 | C4 | — | 4 | 2 | no | — |
| 347 | C4 | — | 4 | 1 | no | — |
| 348 | C4 | — | 4 | 1 | no | — |
| 349 | C4 | — | 8 | 1 | no | — |
| 350 | C4 | — | 8 | 1 | no | — |
| 351 | C4 | — | 20 | 2 | no | — |
| 352 | C4 | — | 40 | 1 | no | — |
| 353 | C4 | — | 40 | 1 | no | — |
| 354 | C4 | — | 40 | 1 | no | — |
| 355 | C2 | — | 2 | 1 | no | — |
| 356 | C2 | — | 2 | 1 | no | — |
| 357 | C2 | — | 16 | 1 | no | — |
| 358 | C2 | #10600491 | 1 | 1 | yes | characteristic |
| 359 | C2 | #10601783 | 1 | 1 | yes | characteristic |
| 360 | C2 | #10601786 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10608327 | C2 | semidirect |
| 5. #10598134 | C2 | semidirect |
| 6. #10597987 | C2 | semidirect |
| 7. #10597985 | C2 | semidirect |
| 81. C2×C5×Q8 | SD16 | semidirect |
| 249. C2×Q8 | #687 | semidirect |
| 335. C5 | #12128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608327 | 2 |
| C5×#2007 | 2 |
| #10602673 | 2 |
| #10602668 | 2 |
| #10598134 | 2 |
| #10597987 | 2 |
| #10597985 | 2 |
| #12128 | 5 |