Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #23752919 | C2 | semidirect |
| 2. #23752883 | C2 | semidirect |
| 3. #23752575 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752515 | C2 | semidirect |
| 6. #23752502 | C2 | semidirect |
| 7. #23752407 | C2 | semidirect |
| 8. #23752405 | C2 | semidirect |
| 9. #23752342 | C2 | semidirect |
| 10. #23752321 | C2 | semidirect |
| 11. C4×D8×C151 | C2 | semidirect |
| 94. D4×C151 | #41 | semidirect |
| 129. C151 | #3366 | semidirect |
| 141. C4×D8 | D151 | semidirect |
| 218. D4 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752919 | 2 |
| #23752883 | 2 |
| #23752575 | 2 |
| #23752559 | 2 |
| #23752515 | 2 |
| #23752502 | 2 |
| #23752407 | 2 |
| #23752405 | 2 |
| #23752342 | 2 |
| #23752321 | 2 |
| C4×D8×C151 | 2 |
| #3366 | 151 |