Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #23752516 | C2 | semidirect |
| 4. #23752419 | C2 | semidirect |
| 6. #23752317 | C2 | semidirect |
| 7. C4×#14558994 | C2 | semidirect |
| 95. C151 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752689 | 2 |
| #23752550 | 2 |
| #23752516 | 2 |
| #23752419 | 2 |
| #23752367 | 2 |
| #23752317 | 2 |
| C4×#14558994 | 2 |
| #23752273 | 2 |
| #541×C151 | 2 |
| #3127 | 151 |