Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #27132972 | C2 | semidirect |
| 4. #27132968 | C2 | semidirect |
| 5. #27132956 | C2 | semidirect |
| 6. #27132946 | C2 | semidirect |
| 65. C2×Q8×C191 | Q8 | semidirect |
| 116. C191 | #3082 | semidirect |
| 161. C2×Q8 | Dic382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133291 | 2 |
| #27133141 | 2 |
| #27132972 | 2 |
| #27132968 | 2 |
| #27132956 | 2 |
| #27132946 | 2 |
| #27132705 | 2 |
| #27132699 | 2 |
| #27132691 | 2 |
| C2×#20259246 | 2 |
| #419×C191 | 2 |
| #3082 | 191 |