Finite Group DatabasebetaFinite Group DatabasebetaOrder 24448.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 4. #27132949 | C2 | semidirect |
| 5. #27132874 | C2 | semidirect |
| 7. #27132771 | C2 | semidirect |
| 103. C191 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27133220 | 2 |
| C2×C4×Dic382 | 2 |
| #27132994 | 2 |
| #27132949 | 2 |
| #27132874 | 2 |
| #27132821 | 2 |
| #27132771 | 2 |
| #432×C191 | 2 |
| #3113 | 191 |