Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#18012772 | C2 | semidirect |
| 2. C2×#18012769 | C2 | semidirect |
| 4. C2×#18012704 | C2 | semidirect |
| 5. #23752437 | C2 | semidirect |
| 6. #23752433 | C2 | semidirect |
| 7. #23752421 | C2 | semidirect |
| 8. #23752411 | C2 | semidirect |
| 9. #23752235 | C2 | semidirect |
| 10. #23752211 | C2 | semidirect |
| 11. #417×C151 | C2 | semidirect |
| 49. C2×Dic302 | D4 | semidirect |
| 150. Dic151 | #137 | semidirect |
| 157. C151 | #3037 | semidirect |
| 169. #417 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| C2×#18012769 | 2 |
| #23752758 | 2 |
| C2×#18012704 | 2 |
| #23752437 | 2 |
| #23752433 | 2 |
| #23752421 | 2 |
| #23752411 | 2 |
| #23752235 | 2 |
| #23752211 | 2 |
| #417×C151 | 2 |
| #3037 | 151 |