Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 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×#18012769 | C2 | semidirect |
| 2. D4×Dic302 | C2 | semidirect |
| 3. #23752584 | C2 | semidirect |
| 4. #23752456 | C2 | semidirect |
| 5. #23752422 | C2 | semidirect |
| 6. #23752409 | C2 | semidirect |
| 7. #23752374 | C2 | semidirect |
| 8. #23752350 | C2 | semidirect |
| 9. C4×#14558994 | C2 | semidirect |
| 10. #23752290 | C2 | semidirect |
| 49. #14558994 | D4 | semidirect |
| 125. C4×C151 | #137 | semidirect |
| 136. C151 | #3278 | semidirect |
| 265. C4 | #18012769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012769 | 2 |
| D4×Dic302 | 2 |
| #23752584 | 2 |
| #23752456 | 2 |
| #23752422 | 2 |
| #23752409 | 2 |
| #23752374 | 2 |
| #23752350 | 2 |
| C4×#14558994 | 2 |
| #23752290 | 2 |
| #550×C151 | 2 |
| #3278 | 151 |