Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
584 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 173 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. C22×#64516 | C2 | semidirect |
| 3. C2×C4×Dic38 | C2 | semidirect |
| 4. #11926745 | C2 | direct (N × H) |
| 5. C2×#10597278 | C2 | semidirect |
| 6. C2×C19×C4⋊C8 | C2 | semidirect |
| 17. C2×#64516 | C22 | semidirect |
| 21. C4×Dic38 | C22 | semidirect |
| 22. C19×C4⋊C8 | C22 | semidirect |
| 23. #10597278 | C22 | semidirect |
| 40. C2×Dic38 | D4 | semidirect |
| 57. C2×C4×C19 | SD16 | semidirect |
| 75. Dic38 | C2×D4 | semidirect |
| 88. C4×C19 | C2×SD16 | semidirect |
| 97. C2×C4⋊C8 | D19 | semidirect |
| 99. C2×C19 | #460 | semidirect |
| 119. C4⋊C8 | C2×D19 | semidirect |
| 121. C19 | C2×#460 | semidirect |
| 167. C2×C4 | #64516 | semidirect |
| 187. C4 | C2×#64516 | semidirect |
| 191. C2 | #11926745 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64516 | 2 |
| C2×#10597320 | 2 |
| C2×C4×Dic38 | 2 |
| #11926745 | 2 |
| C2×#10597278 | 2 |
| C2×C19×C4⋊C8 | 2 |
| C2×#460 | 19 |