Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
242 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 61 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. #23752588 | C2 | semidirect |
| 2. #23752588 | C2 | semidirect |
| 3. #23752584 | C2 | semidirect |
| 4. #23752559 | C2 | semidirect |
| 5. #23752558 | C2 | semidirect |
| 6. #23751934 | C2 | semidirect |
| 7. #493×C151 | C2 | semidirect |
| 48. C151⋊C8 | D8 | semidirect |
| 81. C151 | #1721 | semidirect |
| 85. #493 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752588 | 2 |
| #23752584 | 2 |
| #23752559 | 2 |
| #23752558 | 2 |
| #23751934 | 2 |
| #493×C151 | 2 |
| #1721 | 151 |