Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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×#18012739 | C2 | semidirect |
| 3. #23752508 | C2 | semidirect |
| 4. #23752503 | C2 | semidirect |
| 5. #23752498 | C2 | semidirect |
| 6. #23752493 | C2 | semidirect |
| 7. #23752254 | C2 | semidirect |
| 9. #423×C151 | C2 | semidirect |
| 36. #14559004 | Q8 | semidirect |
| 74. Dic302 | C2×Q8 | semidirect |
| 76. D604 | C2×Q8 | semidirect |
| 121. C151 | #3079 | semidirect |
| 130. #423 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012739 | 2 |
| C4×#14559004 | 2 |
| #23752508 | 2 |
| #23752503 | 2 |
| #23752498 | 2 |
| #23752493 | 2 |
| #23752254 | 2 |
| #23752214 | 2 |
| #423×C151 | 2 |
| #3079 | 151 |