Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×#18012772 | C2 | semidirect |
| 2. D4×Dic302 | C2 | semidirect |
| 4. #23752592 | C2 | semidirect |
| 5. #23752470 | C2 | semidirect |
| 6. #23752423 | C2 | semidirect |
| 7. #23752418 | C2 | semidirect |
| 8. #23752376 | C2 | semidirect |
| 9. #23752370 | C2 | semidirect |
| 10. C4×#14558993 | C2 | semidirect |
| 11. #436×C151 | C2 | semidirect |
| 59. #14558993 | D4 | semidirect |
| 121. C4×C151 | #137 | semidirect |
| 134. C151 | #3276 | semidirect |
| 146. #436 | D151 | semidirect |
| 261. C4 | #18012772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012772 | 2 |
| D4×Dic302 | 2 |
| #23752867 | 2 |
| #23752592 | 2 |
| #23752470 | 2 |
| #23752423 | 2 |
| #23752418 | 2 |
| #23752376 | 2 |
| #23752370 | 2 |
| C4×#14558993 | 2 |
| #436×C151 | 2 |
| #3276 | 151 |