Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
120 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 47 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. #23752614 | C2 | semidirect |
| 3. #23752035 | C2 | semidirect |
| 5. #364×C151 | C2 | semidirect |
| 50. C151 | #2231 | semidirect |
| 55. #364 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752614 | 2 |
| #23752330 | 2 |
| #23752035 | 2 |
| #23752023 | 2 |
| #364×C151 | 2 |
| #2231 | 151 |