Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
708 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 197 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×#10597332 | C2 | semidirect |
| 3. C22×C4⋊Dic19 | C2 | semidirect |
| 4. #11926481 | C2 | semidirect |
| 5. #11926446 | C2 | semidirect |
| 6. #11926414 | C2 | semidirect |
| 7. C4×C22⋊C4×C19 | C2 | semidirect |
| 39. C22⋊C4×C19 | D4 | semidirect |
| 86. C4×C19 | #123 | semidirect |
| 95. C4×C22⋊C4 | D19 | semidirect |
| 118. C19 | #2501 | semidirect |
| 140. C22⋊C4 | D76 | semidirect |
| 182. C4 | #10597332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597332 | 2 |
| C2×#10597376 | 2 |
| C22×C4⋊Dic19 | 2 |
| #11926481 | 2 |
| #11926446 | 2 |
| #11926414 | 2 |
| C4×C22⋊C4×C19 | 2 |
| #2501 | 19 |