Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 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×#18012762 | C2 | semidirect |
| 2. C2×Q16×D151 | C2 | semidirect |
| 3. #23752874 | C2 | semidirect |
| 4. #23752596 | C2 | semidirect |
| 5. #23752454 | C2 | semidirect |
| 6. #23752449 | C2 | semidirect |
| 7. #23752434 | C2 | semidirect |
| 8. #23752377 | C2 | semidirect |
| 9. #23752352 | C2 | semidirect |
| 10. C8×D604 | C2 | semidirect |
| 11. C4×Q16×C151 | C2 | semidirect |
| 73. Q16×C151 | D4 | semidirect |
| 120. C2×D151 | #135 | semidirect |
| 136. C151 | #3285 | semidirect |
| 147. C4×Q16 | D151 | semidirect |
| 195. Q16 | D604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012762 | 2 |
| C2×Q16×D151 | 2 |
| #23752874 | 2 |
| #23752596 | 2 |
| #23752454 | 2 |
| #23752449 | 2 |
| #23752434 | 2 |
| #23752377 | 2 |
| #23752352 | 2 |
| C8×D604 | 2 |
| C4×Q16×C151 | 2 |
| #3285 | 151 |