Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
452 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 452 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 |
|---|---|---|
| 1. #23753008 | C2 | semidirect |
| 2. C2×#18012758 | C2 | semidirect |
| 3. #131×D151 | C2 | semidirect |
| 4. #23752488 | C2 | semidirect |
| 5. #23752487 | C2 | semidirect |
| 6. #23752479 | C2 | semidirect |
| 7. #23752474 | C2 | semidirect |
| 8. #23752473 | C2 | semidirect |
| 9. #108×D151 | C2 | semidirect |
| 10. #23752193 | C2 | semidirect |
| 11. #472×C151 | C2 | semidirect |
| 25. C2×Dic604 | C22 | semidirect |
| 26. C2×#14558992 | C22 | semidirect |
| 37. #18012675 | C22 | semidirect |
| 38. #18012674 | C22 | semidirect |
| 39. #18012657 | C22 | semidirect |
| 40. #18012657 | C22 | semidirect |
| 41. #18012656 | C22 | semidirect |
| 43. C2×D8×C151 | C22 | semidirect |
| 45. #108×C151 | C22 | semidirect |
| 46. #100×C151 | C22 | semidirect |
| 166. C151 | #3067 | semidirect |
| 174. #472 | D151 | semidirect |
| 195. C2×D8 | C2×D151 | semidirect |
| 209. #108 | C2×D151 | semidirect |
| 213. #100 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753008 | 2 |
| C2×#18012758 | 2 |
| #131×D151 | 2 |
| #23752488 | 2 |
| #23752487 | 2 |
| #23752479 | 2 |
| #23752474 | 2 |
| #23752473 | 2 |
| #108×D151 | 2 |
| #23752193 | 2 |
| #472×C151 | 2 |
| #3067 | 151 |