Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #23752843 | C2 | semidirect |
| 3. #23752517 | C2 | semidirect |
| 4. #23752514 | C2 | semidirect |
| 5. #23752505 | C2 | semidirect |
| 6. #23752490 | C2 | semidirect |
| 7. #23752254 | C2 | semidirect |
| 8. C2×#18012672 | C2 | semidirect |
| 9. #23752240 | C2 | semidirect |
| 64. #41×C151 | Q8 | semidirect |
| 123. C151 | #3083 | semidirect |
| 166. #41 | Dic302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752843 | 2 |
| #23752695 | 2 |
| #23752517 | 2 |
| #23752514 | 2 |
| #23752505 | 2 |
| #23752490 | 2 |
| #23752254 | 2 |
| C2×#18012672 | 2 |
| #23752240 | 2 |
| #23752208 | 2 |
| #417×C151 | 2 |
| #3083 | 151 |