Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
326 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
| 5. #23751974 | C2 | semidirect |
| 6. #23751966 | C2 | semidirect |
| 7. #340×C151 | C2 | semidirect |
| 32. C2×D604 | Q8 | semidirect |
| 123. C151 | #2023 | semidirect |
| 130. #340 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012738 | 2 |
| C2×#18012661 | 2 |
| C2×#18012659 | 2 |
| #23752113 | 2 |
| #23751974 | 2 |
| #23751966 | 2 |
| #340×C151 | 2 |
| #2023 | 151 |