Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10597315 | C2 | semidirect |
| 3. #11926840 | C2 | semidirect |
| 4. #11926835 | C2 | semidirect |
| 5. #11926830 | C2 | semidirect |
| 6. #11926825 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 9. C19×#423 | C2 | semidirect |
| 41. #64541 | Q8 | semidirect |
| 89. D76 | C2×Q8 | semidirect |
| 96. Dic38 | C2×Q8 | semidirect |
| 124. #423 | D19 | semidirect |
| 156. C19 | #3079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597315 | 2 |
| C4×#64541 | 2 |
| #11926840 | 2 |
| #11926835 | 2 |
| #11926830 | 2 |
| #11926825 | 2 |
| #11926586 | 2 |
| #11926546 | 2 |
| C19×#423 | 2 |
| #3079 | 19 |