Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4×#64520 | C2 | semidirect |
| 4. #11926304 | C2 | semidirect |
| 5. C43×C19 | C2 | semidirect |
| 13. C4×D76 | C4 | semidirect |
| 16. C4×Dic38 | C4 | semidirect |
| 17. #10597262 | C4 | direct (N × H) |
| 33. C42×C19 | C2×C4 | semidirect |
| 43. #64520 | C2×C4 | semidirect |
| 60. D76 | C42 | semidirect |
| 64. Dic38 | C42 | semidirect |
| 74. C4×C19 | #104 | semidirect |
| 83. C43 | D19 | semidirect |
| 103. C19 | C4×#104 | semidirect |
| 126. C42 | C4×D19 | semidirect |
| 159. C4 | #10597262 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#64541 | 2 |
| C2×#10597262 | 2 |
| C4×#64520 | 2 |
| #11926304 | 2 |
| C43×C19 | 2 |
| C4×#104 | 19 |