Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #11926561 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926517 | C2 | semidirect |
| 5. #11926314 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C4×#41×C19 | C2 | semidirect |
| 17. #10597397 | C4 | semidirect |
| 19. #10597395 | C4 | semidirect |
| 45. C2×D76 | C2×C4 | semidirect |
| 47. C2×Dic38 | C2×C4 | semidirect |
| 67. #64520 | C2×C4 | semidirect |
| 125. C4×#41 | D19 | semidirect |
| 158. C19 | #1906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927342 | 2 |
| #11926561 | 2 |
| C2×#10597262 | 2 |
| #11926517 | 2 |
| #11926314 | 2 |
| #11926304 | 2 |
| C4×#41×C19 | 2 |
| #1906 | 19 |