Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4⋊Q8×D151 | C2 | semidirect |
| 3. #23752583 | C2 | semidirect |
| 4. #23752561 | C2 | semidirect |
| 5. #23752418 | C2 | semidirect |
| 6. #23752417 | C2 | semidirect |
| 7. #23752414 | C2 | semidirect |
| 8. #23752352 | C2 | semidirect |
| 9. #23752349 | C2 | semidirect |
| 10. #23752264 | C2 | semidirect |
| 11. #461×C151 | C2 | semidirect |
| 107. C4×D151 | SD16 | semidirect |
| 148. C151 | #3206 | semidirect |
| 157. #461 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752759 | 2 |
| C4⋊Q8×D151 | 2 |
| #23752583 | 2 |
| #23752561 | 2 |
| #23752418 | 2 |
| #23752417 | 2 |
| #23752414 | 2 |
| #23752352 | 2 |
| #23752349 | 2 |
| #23752264 | 2 |
| #461×C151 | 2 |
| #3206 | 151 |