Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#18012730 | C2 | semidirect |
| 3. #23752619 | C2 | semidirect |
| 4. #23752575 | C2 | semidirect |
| 5. #23752530 | C2 | semidirect |
| 6. #23752526 | C2 | semidirect |
| 7. #23752523 | C2 | semidirect |
| 8. #23752511 | C2 | semidirect |
| 9. #23752510 | C2 | semidirect |
| 10. #23752266 | C2 | semidirect |
| 11. #481×C151 | C2 | semidirect |
| 134. C151 | #3234 | semidirect |
| 141. #481 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| C2×#18012730 | 2 |
| #23752619 | 2 |
| #23752575 | 2 |
| #23752530 | 2 |
| #23752526 | 2 |
| #23752523 | 2 |
| #23752511 | 2 |
| #23752510 | 2 |
| #23752266 | 2 |
| #481×C151 | 2 |
| #3234 | 151 |