Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
324 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #23752622 | C2 | semidirect |
| 4. #23752621 | C2 | semidirect |
| 5. #23752580 | C2 | semidirect |
| 8. #23752521 | C2 | semidirect |
| 9. #23752517 | C2 | semidirect |
| 11. #491×C151 | C2 | semidirect |
| 120. C151 | #3236 | semidirect |
| 127. #491 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #125×D151 | 2 |
| #23752622 | 2 |
| #23752621 | 2 |
| #23752580 | 2 |
| #23752546 | 2 |
| #23752541 | 2 |
| #23752521 | 2 |
| #23752517 | 2 |
| #23752267 | 2 |
| #491×C151 | 2 |
| #3236 | 151 |