Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
792 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 181 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. C23×Dic38 | C2 | semidirect |
| 2. C22×#64526 | C2 | semidirect |
| 3. #11926682 | C2 | direct (N × H) |
| 4. C2×#10597267 | C2 | semidirect |
| 5. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 15. C22×Dic38 | C22 | semidirect |
| 21. C2×#64526 | C22 | semidirect |
| 23. C22⋊(C19⋊C8) | C22 | semidirect |
| 24. #10597267 | C22 | semidirect |
| 47. C2×Dic38 | D4 | semidirect |
| 61. C23×C19 | SD16 | semidirect |
| 82. Dic38 | C2×D4 | semidirect |
| 94. C22×C19 | C2×SD16 | semidirect |
| 110. C2×C19 | #448 | semidirect |
| 132. C19 | C2×#448 | semidirect |
| 169. C23 | #64526 | semidirect |
| 200. C22 | C2×#64526 | semidirect |
| 211. C2 | #11926682 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic38 | 2 |
| C22×#64526 | 2 |
| #11926682 | 2 |
| C2×#10597267 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×C19×#121 | 2 |
| C2×#448 | 19 |