Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#18012771 | C2 | semidirect |
| 3. #23752877 | C2 | semidirect |
| 4. #23752586 | C2 | semidirect |
| 5. #23752461 | C2 | semidirect |
| 6. #23752413 | C2 | semidirect |
| 7. #23752373 | C2 | semidirect |
| 8. #23752352 | C2 | semidirect |
| 9. C4×#14558994 | C2 | semidirect |
| 10. #23752289 | C2 | semidirect |
| 11. #462×C151 | C2 | semidirect |
| 57. #14558994 | D4 | semidirect |
| 125. C4×C151 | #137 | semidirect |
| 136. C151 | #3278 | semidirect |
| 143. #462 | D151 | semidirect |
| 265. C4 | #18012771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012771 | 2 |
| #23752884 | 2 |
| #23752877 | 2 |
| #23752586 | 2 |
| #23752461 | 2 |
| #23752413 | 2 |
| #23752373 | 2 |
| #23752352 | 2 |
| C4×#14558994 | 2 |
| #23752289 | 2 |
| #462×C151 | 2 |
| #3278 | 151 |