Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752934 | C2 | semidirect |
| 2. #23752605 | C2 | semidirect |
| 4. #23752434 | C2 | semidirect |
| 6. #23752421 | C2 | semidirect |
| 7. #23752342 | C2 | semidirect |
| 8. #23752311 | C2 | semidirect |
| 9. C4×Q16×C151 | C2 | semidirect |
| 102. C151 | #3402 | semidirect |
| 112. C4×Q16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752934 | 2 |
| #23752605 | 2 |
| #23752596 | 2 |
| #23752434 | 2 |
| #23752430 | 2 |
| #23752421 | 2 |
| #23752342 | 2 |
| #23752311 | 2 |
| C4×Q16×C151 | 2 |
| #3402 | 151 |