Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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×#18012738 | C2 | semidirect |
| 3. #23752620 | C2 | semidirect |
| 4. #23752570 | C2 | semidirect |
| 5. #23752543 | C2 | semidirect |
| 6. #23752542 | C2 | semidirect |
| 8. #23752506 | C2 | semidirect |
| 9. #23752500 | C2 | semidirect |
| 10. #23752266 | C2 | semidirect |
| 128. C151 | #3238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012738 | 2 |
| #23752743 | 2 |
| #23752620 | 2 |
| #23752570 | 2 |
| #23752543 | 2 |
| #23752542 | 2 |
| #23752523 | 2 |
| #23752506 | 2 |
| #23752500 | 2 |
| #23752266 | 2 |
| #480×C151 | 2 |
| #3238 | 151 |