Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 1. C2×#18012731 | C2 | semidirect |
| 2. #23752618 | C2 | semidirect |
| 3. #23752576 | C2 | semidirect |
| 4. #23752528 | C2 | semidirect |
| 5. #23752523 | C2 | semidirect |
| 6. #23752512 | C2 | semidirect |
| 7. #23752269 | C2 | semidirect |
| 106. C151 | #3234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012731 | 2 |
| #23752618 | 2 |
| #23752576 | 2 |
| #23752528 | 2 |
| #23752523 | 2 |
| #23752512 | 2 |
| #23752269 | 2 |
| #532×C151 | 2 |
| #3234 | 151 |