Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
368 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 145 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. #23752615 | C2 | semidirect |
| 3. #23752591 | C2 | semidirect |
| 4. #23752564 | C2 | semidirect |
| 5. #23752562 | C2 | semidirect |
| 7. C4×#14558994 | C2 | semidirect |
| 79. C2×C4×C151 | Q16 | semidirect |
| 104. C151 | #3170 | semidirect |
| 182. C2×C4 | #14558994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752615 | 2 |
| #23752591 | 2 |
| #23752564 | 2 |
| #23752562 | 2 |
| #23752451 | 2 |
| C4×#14558994 | 2 |
| C2×C4×C151⋊C8 | 2 |
| #533×C151 | 2 |
| #3170 | 151 |