Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
162 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 162 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. #23752339 | C2 | semidirect |
| 4. #23751964 | C2 | semidirect |
| 5. #23751944 | C2 | semidirect |
| 6. #23751934 | C2 | semidirect |
| 49. C151⋊C8 | M16 | semidirect |
| 77. C151 | #1592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752339 | 2 |
| C4×#14558992 | 2 |
| #23752290 | 2 |
| #23751964 | 2 |
| #23751944 | 2 |
| #23751934 | 2 |
| D4⋊C8×C151 | 2 |
| #1592 | 151 |