Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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. #23752871 | C2 | semidirect |
| 3. #23752596 | C2 | semidirect |
| 4. #23752458 | C2 | semidirect |
| 5. #23752435 | C2 | semidirect |
| 6. #23752370 | C2 | semidirect |
| 7. #23752359 | C2 | semidirect |
| 8. C4×Dic604 | C2 | semidirect |
| 9. #436×C151 | C2 | semidirect |
| 50. Dic604 | D4 | semidirect |
| 117. C151 | #3277 | semidirect |
| 127. #436 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| #23752871 | 2 |
| #23752596 | 2 |
| #23752458 | 2 |
| #23752435 | 2 |
| #23752370 | 2 |
| #23752359 | 2 |
| C4×Dic604 | 2 |
| #436×C151 | 2 |
| #3277 | 151 |