Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
252 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #23752261 | C2 | semidirect |
| 3. #23752260 | C2 | semidirect |
| 6. #23751977 | C2 | semidirect |
| 7. #341×C151 | C2 | semidirect |
| 91. C151 | #1858 | semidirect |
| 99. #341 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752978 | 2 |
| #23752261 | 2 |
| #23752260 | 2 |
| #23752194 | 2 |
| #23752178 | 2 |
| #23751977 | 2 |
| #341×C151 | 2 |
| #1858 | 151 |