Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 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. #23752790 | C2 | semidirect |
| 2. #23752543 | C2 | semidirect |
| 3. #23752531 | C2 | semidirect |
| 4. #23752470 | C2 | semidirect |
| 5. #23752465 | C2 | semidirect |
| 6. #23752441 | C2 | semidirect |
| 7. #23752376 | C2 | semidirect |
| 8. #23752359 | C2 | semidirect |
| 9. #408×C151 | C2 | semidirect |
| 117. C151 | #3204 | semidirect |
| 127. #408 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752790 | 2 |
| #23752543 | 2 |
| #23752531 | 2 |
| #23752470 | 2 |
| #23752465 | 2 |
| #23752441 | 2 |
| #23752376 | 2 |
| #23752359 | 2 |
| #408×C151 | 2 |
| #3204 | 151 |