Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
224 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 12. #18012674 | C4 | semidirect |
| 13. #18012672 | C4 | semidirect |
| 14. #18012670 | C4 | semidirect |
| 16. #18012650 | C4 | semidirect |
| 79. C151 | #1773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012674 | 2 |
| #23752248 | 2 |
| #23752170 | 2 |
| #23752168 | 2 |
| C2×#18012650 | 2 |
| #23751972 | 2 |
| #339×C151 | 2 |
| #1773 | 151 |