Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 101 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. #11926568 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. C43×C19 | C2 | semidirect |
| 11. #10597321 | C4 | semidirect |
| 12. #10597320 | C4 | semidirect |
| 14. #10597315 | C4 | semidirect |
| 32. C42×C19 | D4 | semidirect |
| 64. C4×C19 | #104 | semidirect |
| 72. C43 | D19 | semidirect |
| 89. C19 | #1962 | semidirect |
| 109. C42 | D76 | semidirect |
| 137. C4 | #10597262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926568 | 2 |
| C2×#10597262 | 2 |
| C43×C19 | 2 |
| #1962 | 19 |