Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#18012759 | C2 | semidirect |
| 2. C2×#18012747 | C2 | semidirect |
| 3. #23752793 | C2 | semidirect |
| 4. #23752790 | C2 | semidirect |
| 5. #23752469 | C2 | semidirect |
| 6. #23752464 | C2 | semidirect |
| 7. #23752444 | C2 | semidirect |
| 8. #23752440 | C2 | semidirect |
| 9. C2×#18012670 | C2 | semidirect |
| 10. #23752214 | C2 | semidirect |
| 11. #417×C151 | C2 | semidirect |
| 63. C2×C151⋊C8 | D4 | semidirect |
| 152. C151 | #3060 | semidirect |
| 164. #417 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012759 | 2 |
| C2×#18012747 | 2 |
| #23752793 | 2 |
| #23752790 | 2 |
| #23752469 | 2 |
| #23752464 | 2 |
| #23752444 | 2 |
| #23752440 | 2 |
| C2×#18012670 | 2 |
| #23752214 | 2 |
| #417×C151 | 2 |
| #3060 | 151 |