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×#18012747 | C2 | semidirect |
| 3. #23752786 | C2 | semidirect |
| 4. #23752467 | C2 | semidirect |
| 5. #23752455 | C2 | semidirect |
| 6. #23752450 | C2 | semidirect |
| 7. #23752438 | C2 | semidirect |
| 8. #23752254 | C2 | semidirect |
| 9. #23752208 | C2 | semidirect |
| 10. C2×#18012663 | C2 | semidirect |
| 11. C2×#137×C151 | C2 | semidirect |
| 83. M16×C151 | D4 | semidirect |
| 143. C151 | #3063 | semidirect |
| 145. C2×#137 | D151 | semidirect |
| 210. M16 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012747 | 2 |
| #23752790 | 2 |
| #23752786 | 2 |
| #23752467 | 2 |
| #23752455 | 2 |
| #23752450 | 2 |
| #23752438 | 2 |
| #23752254 | 2 |
| #23752208 | 2 |
| C2×#18012663 | 2 |
| C2×#137×C151 | 2 |
| #3063 | 151 |