Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
390 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. C2×#18012704 | C2 | semidirect |
| 4. #23752522 | C2 | semidirect |
| 5. #23752437 | C2 | semidirect |
| 6. #23752367 | C2 | semidirect |
| 8. #23752304 | C2 | semidirect |
| 9. #23752299 | C2 | semidirect |
| 10. #23752262 | C2 | semidirect |
| 11. #483×C151 | C2 | semidirect |
| 131. C151 | #3108 | semidirect |
| 135. #483 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752748 | 2 |
| C2×#18012704 | 2 |
| #23752525 | 2 |
| #23752522 | 2 |
| #23752437 | 2 |
| #23752367 | 2 |
| #23752353 | 2 |
| #23752304 | 2 |
| #23752299 | 2 |
| #23752262 | 2 |
| #483×C151 | 2 |
| #3108 | 151 |