Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#18012768 | C2 | semidirect |
| 3. C4×Q8×D151 | C2 | semidirect |
| 4. #23752433 | C2 | semidirect |
| 5. #23752432 | C2 | semidirect |
| 6. #23752423 | C2 | semidirect |
| 7. #23752422 | C2 | semidirect |
| 8. #23752409 | C2 | semidirect |
| 9. #23752234 | C2 | semidirect |
| 10. #23752210 | C2 | semidirect |
| 11. #460×C151 | C2 | semidirect |
| 50. Q8×D151 | D4 | semidirect |
| 132. C4×C151 | #137 | semidirect |
| 146. C151 | #3037 | semidirect |
| 156. #460 | D151 | semidirect |
| 285. C4 | #18012768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012768 | 2 |
| #23752760 | 2 |
| C4×Q8×D151 | 2 |
| #23752433 | 2 |
| #23752432 | 2 |
| #23752423 | 2 |
| #23752422 | 2 |
| #23752409 | 2 |
| #23752234 | 2 |
| #23752210 | 2 |
| #460×C151 | 2 |
| #3037 | 151 |