Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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. #11926570 | C2 | semidirect |
| 5. #11926309 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C2×C4×C8×C19 | C2 | semidirect |
| 16. #10597278 | C4 | semidirect |
| 18. #10597273 | C4 | semidirect |
| 90. C2×C4×C8 | D19 | semidirect |
| 111. C19 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926570 | 2 |
| C2×#10597262 | 2 |
| #11926541 | 2 |
| #11926510 | 2 |
| #11926309 | 2 |
| #11926304 | 2 |
| C2×C4×C8×C19 | 2 |
| #1937 | 19 |