Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
168 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 63 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. #23752339 | C2 | semidirect |
| 4. #23751942 | C2 | semidirect |
| 6. #23751934 | C2 | semidirect |
| 7. #334×C151 | C2 | semidirect |
| 53. C151⋊C8 | SD16 | semidirect |
| 77. C151 | #1582 | semidirect |
| 82. #334 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752339 | 2 |
| C4×#14558993 | 2 |
| #23752277 | 2 |
| #23751942 | 2 |
| #23751939 | 2 |
| #23751934 | 2 |
| #334×C151 | 2 |
| #1582 | 151 |