Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #27132711 | C2 | semidirect |
| 5. #27132434 | C2 | semidirect |
| 6. #27132423 | C2 | semidirect |
| 7. #423×C191 | C2 | semidirect |
| 16. #20259250 | C4 | semidirect |
| 17. #20259250 | C4 | semidirect |
| 97. C191 | #1861 | semidirect |
| 101. #423 | D191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133429 | 2 |
| #27132711 | 2 |
| #27132679 | 2 |
| C2×#20259250 | 2 |
| #27132434 | 2 |
| #27132423 | 2 |
| #423×C191 | 2 |
| #1861 | 191 |