Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 3. #23752616 | C2 | semidirect |
| 4. #23752561 | C2 | semidirect |
| 8. #23752506 | C2 | semidirect |
| 9. #23752505 | C2 | semidirect |
| 124. C151 | #3230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×#18012738 | 2 |
| #23752616 | 2 |
| #23752561 | 2 |
| #23752548 | 2 |
| #23752547 | 2 |
| #23752545 | 2 |
| #23752506 | 2 |
| #23752505 | 2 |
| #23752262 | 2 |
| #484×C151 | 2 |
| #3230 | 151 |