Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752937 | C2 | semidirect |
| 3. #23752561 | C2 | semidirect |
| 4. #23752495 | C2 | semidirect |
| 5. #23752494 | C2 | semidirect |
| 8. C8×Dic302 | C2 | semidirect |
| 11. #487×C151 | C2 | semidirect |
| 78. Dic302 | SD16 | semidirect |
| 118. C151 | #3359 | semidirect |
| 123. #487 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752937 | 2 |
| #23752877 | 2 |
| #23752561 | 2 |
| #23752495 | 2 |
| #23752494 | 2 |
| #23752416 | 2 |
| #23752414 | 2 |
| C8×Dic302 | 2 |
| C4×#14558993 | 2 |
| #23752297 | 2 |
| #487×C151 | 2 |
| #3359 | 151 |