Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23752555 | C2 | semidirect |
| 3. #23752552 | C2 | semidirect |
| 4. #23752468 | C2 | semidirect |
| 5. #23752453 | C2 | semidirect |
| 6. #23752369 | C2 | semidirect |
| 7. #23752366 | C2 | semidirect |
| 9. #467×C151 | C2 | semidirect |
| 113. C151 | #3202 | semidirect |
| 120. #467 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752785 | 2 |
| #23752555 | 2 |
| #23752552 | 2 |
| #23752468 | 2 |
| #23752453 | 2 |
| #23752369 | 2 |
| #23752366 | 2 |
| #23752178 | 2 |
| #467×C151 | 2 |
| #3202 | 151 |