Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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×#10597388 | C2 | semidirect |
| 3. #11926766 | C2 | semidirect |
| 4. #11926754 | C2 | semidirect |
| 5. #11926744 | C2 | semidirect |
| 6. #11926568 | C2 | semidirect |
| 7. #11926543 | C2 | semidirect |
| 8. C2×C4×Q8×C19 | C2 | semidirect |
| 36. C2×Q8×C19 | D4 | semidirect |
| 112. C4×C19 | #137 | semidirect |
| 118. C2×C4×Q8 | D19 | semidirect |
| 154. C19 | #3037 | semidirect |
| 160. C2×Q8 | D76 | semidirect |
| 233. C4 | #10597388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| #11927094 | 2 |
| #11926766 | 2 |
| #11926754 | 2 |
| #11926744 | 2 |
| #11926568 | 2 |
| #11926543 | 2 |
| C2×C4×Q8×C19 | 2 |
| #3037 | 19 |