Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
612 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#10597267 | C2 | semidirect |
| 3. C2×#10597266 | C2 | semidirect |
| 4. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 5. C19×#380 | C2 | semidirect |
| 11. C2×#64541 | C4 | semidirect |
| 81. D76 | C22⋊C4 | semidirect |
| 85. Dic38 | C22⋊C4 | semidirect |
| 113. #380 | D19 | semidirect |
| 137. C19 | #1788 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597267 | 2 |
| C2×#10597266 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C19×#380 | 2 |
| #1788 | 19 |