Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#18012772 | C2 | semidirect |
| 2. C2×#18012747 | C2 | semidirect |
| 4. #23752788 | C2 | semidirect |
| 5. #23752471 | C2 | semidirect |
| 6. #23752459 | C2 | semidirect |
| 7. #23752454 | C2 | semidirect |
| 8. #23752442 | C2 | semidirect |
| 9. #23752206 | C2 | semidirect |
| 10. C2×#18012662 | C2 | semidirect |
| 11. #428×C151 | C2 | semidirect |
| 77. M16×C151 | D4 | semidirect |
| 143. C151 | #3063 | semidirect |
| 153. #428 | D151 | semidirect |
| 210. M16 | D604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| C2×#18012747 | 2 |
| #23752793 | 2 |
| #23752788 | 2 |
| #23752471 | 2 |
| #23752459 | 2 |
| #23752454 | 2 |
| #23752442 | 2 |
| #23752206 | 2 |
| C2×#18012662 | 2 |
| #428×C151 | 2 |
| #3063 | 151 |