Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #23752320 | C2 | semidirect |
| 3. #23752036 | C2 | semidirect |
| 4. #23752027 | C2 | semidirect |
| 6. #23751990 | C2 | semidirect |
| 10. #18012685 | C4 | semidirect |
| 11. #18012683 | C4 | semidirect |
| 64. C151 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752652 | 2 |
| #23752320 | 2 |
| #23752036 | 2 |
| #23752027 | 2 |
| #23752022 | 2 |
| #23751990 | 2 |
| #444×C151 | 2 |
| #2180 | 151 |