Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
618 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 129 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×#10597294 | C2 | semidirect |
| 2. #11926508 | C2 | semidirect |
| 3. C4×C22⋊Dic19 | C2 | semidirect |
| 8. C2×#41×C19 | C4 | semidirect |
| 10. C22×Q8×C19 | C4 | semidirect |
| 12. C22×D4×C19 | C4 | semidirect |
| 16. C2×C4×Dic19 | C22 | semidirect |
| 17. C2×#64520 | C22 | semidirect |
| 67. Q8×C19 | C22⋊C4 | semidirect |
| 72. D4×C19 | C22⋊C4 | semidirect |
| 104. C22×C19 | #104 | semidirect |
| 127. C2×#41 | Dic19 | semidirect |
| 129. C22×Q8 | Dic19 | semidirect |
| 131. C22×D4 | Dic19 | semidirect |
| 141. C19 | #1789 | semidirect |
| 187. Q8 | C22⋊Dic19 | semidirect |
| 192. D4 | C22⋊Dic19 | semidirect |
| 223. C22 | #10597294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597294 | 2 |
| #11926508 | 2 |
| C4×C22⋊Dic19 | 2 |
| C22×#41×C19 | 2 |
| #1789 | 19 |