Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #11926451 | C2 | semidirect |
| 5. #11926435 | C2 | semidirect |
| 6. #11926415 | C2 | semidirect |
| 7. #11926413 | C2 | semidirect |
| 8. #11926390 | C2 | semidirect |
| 9. C2×C4×Q8×C19 | C2 | semidirect |
| 18. #10597393 | C4 | semidirect |
| 33. C2×Q8×C19 | C2×C4 | semidirect |
| 53. (C2×D19)⋊C4 | C2×C4 | semidirect |
| 57. C4×Dic19 | C2×C4 | semidirect |
| 107. C2×C4×Q8 | D19 | semidirect |
| 141. C19 | #2326 | semidirect |
| 145. C2×Q8 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597393 | 2 |
| C2×C4×D76 | 2 |
| #11926451 | 2 |
| #11926445 | 2 |
| #11926435 | 2 |
| #11926415 | 2 |
| #11926413 | 2 |
| #11926390 | 2 |
| C2×C4×Q8×C19 | 2 |
| #2326 | 19 |