Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #23752581 | C2 | semidirect |
| 3. #23752572 | C2 | semidirect |
| 4. #23752571 | C2 | semidirect |
| 5. #23751953 | C2 | semidirect |
| 6. #23751951 | C2 | semidirect |
| 7. #329×C151 | C2 | semidirect |
| 96. C151 | #1662 | semidirect |
| 104. #329 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752956 | 2 |
| #23752581 | 2 |
| #23752572 | 2 |
| #23752571 | 2 |
| #23751953 | 2 |
| #23751951 | 2 |
| #329×C151 | 2 |
| #1662 | 151 |