Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #23752494 | C2 | semidirect |
| 5. #23752423 | C2 | semidirect |
| 6. #23752422 | C2 | semidirect |
| 8. #23752318 | C2 | semidirect |
| 9. #23752316 | C2 | semidirect |
| 11. #475×C151 | C2 | semidirect |
| 132. C151 | #3113 | semidirect |
| 138. #475 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| C4×Q8×D151 | 2 |
| #23752544 | 2 |
| #23752494 | 2 |
| #23752423 | 2 |
| #23752422 | 2 |
| #23752369 | 2 |
| #23752318 | 2 |
| #23752316 | 2 |
| #23752268 | 2 |
| #475×C151 | 2 |
| #3113 | 151 |