Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 157 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×#10597316 | C2 | semidirect |
| 2. #11926482 | C2 | semidirect |
| 4. #11926438 | C2 | semidirect |
| 5. #11926404 | C2 | semidirect |
| 6. #11926404 | C2 | semidirect |
| 7. C4×C4⋊Dic19 | C2 | semidirect |
| 131. C19 | #2562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597316 | 2 |
| #11926482 | 2 |
| #11926458 | 2 |
| #11926438 | 2 |
| #11926404 | 2 |
| C4×C4⋊Dic19 | 2 |
| C2×C4×D4×C19 | 2 |
| #2562 | 19 |