Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
210 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 55 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. #11927272 | C2 | semidirect |
| 5. #11926289 | C2 | semidirect |
| 6. #11926276 | C2 | semidirect |
| 7. C19×Q8⋊C8 | C2 | semidirect |
| 68. Dic38 | SD16 | semidirect |
| 93. Q8⋊C8 | D19 | semidirect |
| 115. C19 | #1626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927272 | 2 |
| #11926891 | 2 |
| #11926745 | 2 |
| #11926744 | 2 |
| #11926289 | 2 |
| #11926276 | 2 |
| C19×Q8⋊C8 | 2 |
| #1626 | 19 |