Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #23752978 | C2 | semidirect |
| 3. #23752230 | C2 | semidirect |
| 4. #23752228 | C2 | semidirect |
| 5. #23752185 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. #339×C151 | C2 | semidirect |
| 14. #18012739 | C4 | semidirect |
| 15. #18012736 | C4 | semidirect |
| 16. #18012727 | C4 | semidirect |
| 17. #18012727 | C4 | semidirect |
| 45. #14558988 | D4 | semidirect |
| 58. M16×C151 | D4 | semidirect |
| 125. C151 | #1884 | semidirect |
| 133. #339 | D151 | semidirect |
| 176. M16 | D604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752978 | 2 |
| #23752762 | 2 |
| #23752230 | 2 |
| #23752228 | 2 |
| #23752185 | 2 |
| #23751972 | 2 |
| #339×C151 | 2 |
| #1884 | 151 |