Finite Group DatabasebetaFinite Group DatabasebetaOrder 24512.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. C2×#20259445 | C2 | semidirect |
| 2. C2×C8×D383 | C2 | semidirect |
| 3. #27133821 | C2 | semidirect |
| 5. #27133772 | C2 | semidirect |
| 6. #27133766 | C2 | semidirect |
| 7. #102×C383 | C2 | semidirect |
| 30. C383⋊C8 | D4 | semidirect |
| 43. C2×D383 | SD16 | semidirect |
| 55. C383 | #465 | semidirect |
| 63. #102 | D383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20259445 | 2 |
| C2×C8×D383 | 2 |
| #27133821 | 2 |
| #27133812 | 2 |
| #27133772 | 2 |
| #27133766 | 2 |
| #102×C383 | 2 |
| #465 | 383 |