Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23752941 | C2 | semidirect |
| 3. #23752575 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752511 | C2 | semidirect |
| 6. #23752492 | C2 | semidirect |
| 7. #23752412 | C2 | semidirect |
| 8. #23752410 | C2 | semidirect |
| 9. #23752342 | C2 | semidirect |
| 10. #23752315 | C2 | semidirect |
| 11. C4×SD16×C151 | C2 | semidirect |
| 90. Q8×C151 | #41 | semidirect |
| 124. C151 | #3368 | semidirect |
| 136. C4×SD16 | D151 | semidirect |
| 204. Q8 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752941 | 2 |
| #23752883 | 2 |
| #23752575 | 2 |
| #23752559 | 2 |
| #23752511 | 2 |
| #23752492 | 2 |
| #23752412 | 2 |
| #23752410 | 2 |
| #23752342 | 2 |
| #23752315 | 2 |
| C4×SD16×C151 | 2 |
| #3368 | 151 |