Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
426 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×#14558992 | C2 | semidirect |
| 2. C2×#18012726 | C2 | semidirect |
| 3. C2×#18012664 | C2 | semidirect |
| 4. C2×#18012660 | C2 | semidirect |
| 5. #23752115 | C2 | semidirect |
| 6. #23751966 | C2 | semidirect |
| 133. C151 | #2012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558992 | 2 |
| C2×#18012726 | 2 |
| C2×#18012664 | 2 |
| C2×#18012660 | 2 |
| #23752115 | 2 |
| #23751966 | 2 |
| C22×D8×C151 | 2 |
| #2012 | 151 |