Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 73 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×#10597354 | C2 | semidirect |
| 2. #11927111 | C2 | semidirect |
| 3. C2×#10597386 | C2 | semidirect |
| 4. C2×#10597282 | C2 | semidirect |
| 5. #11926550 | C2 | semidirect |
| 6. #11926305 | C2 | semidirect |
| 7. C2×C19×#100 | C2 | semidirect |
| 52. C2×D76 | D4 | semidirect |
| 53. C2×D76 | D4 | semidirect |
| 55. C2×Dic38 | D4 | semidirect |
| 59. M16×C19 | D4 | semidirect |
| 64. C4⋊Dic19 | D4 | semidirect |
| 67. C4×Dic19 | D4 | semidirect |
| 137. C2×#100 | D19 | semidirect |
| 167. C19 | #2002 | semidirect |
| 200. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| #11927111 | 2 |
| C2×#10597386 | 2 |
| C2×#10597282 | 2 |
| #11926550 | 2 |
| #11926305 | 2 |
| C2×C19×#100 | 2 |
| #2002 | 19 |