Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
290 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#10597264 | C2 | semidirect |
| 5. #11926306 | C2 | semidirect |
| 6. #11926299 | C2 | semidirect |
| 7. C4×C4⋊C4×C19 | C2 | semidirect |
| 20. #10597266 | C4 | semidirect |
| 115. C4×C4⋊C4 | D19 | semidirect |
| 140. C19 | #1925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597264 | 2 |
| C2×#10597266 | 2 |
| #11926446 | 2 |
| #11926306 | 2 |
| #11926299 | 2 |
| C4×C4⋊C4×C19 | 2 |
| #1925 | 19 |