Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
| 3. C2×C4×Dic302 | C2 | semidirect |
| 4. #23752435 | C2 | semidirect |
| 5. #23752423 | C2 | semidirect |
| 6. #23752413 | C2 | semidirect |
| 7. #23752214 | C2 | semidirect |
| 8. #423×C151 | C2 | semidirect |
| 38. C2×Dic302 | D4 | semidirect |
| 109. C4×C151 | #137 | semidirect |
| 120. C151 | #3037 | semidirect |
| 128. #423 | D151 | semidirect |
| 233. 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 |
| #23752762 | 2 |
| C2×C4×Dic302 | 2 |
| #23752435 | 2 |
| #23752423 | 2 |
| #23752413 | 2 |
| #23752214 | 2 |
| #423×C151 | 2 |
| #3037 | 151 |