Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
284 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 93 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. #11926582 | C2 | semidirect |
| 2. #11926561 | C2 | semidirect |
| 3. #11926518 | C2 | semidirect |
| 4. #11926499 | C2 | semidirect |
| 11. C2×Q16×C19 | C4 | semidirect |
| 12. C2×SD16×C19 | C4 | semidirect |
| 13. C2×D8×C19 | C4 | semidirect |
| 107. C2×Q16 | Dic19 | semidirect |
| 108. C2×SD16 | Dic19 | semidirect |
| 109. C2×D8 | Dic19 | semidirect |
| 120. C19 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926582 | 2 |
| #11926561 | 2 |
| #11926518 | 2 |
| #11926499 | 2 |
| C2×C19×#135 | 2 |
| #1976 | 19 |