Finite Group DatabasebetaFinite Group DatabasebetaOrder 1440.
208 conjugacy classes of subgroups; only the 34 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 34 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×#67127 | C2 | semidirect |
| 13. C2×C3⋊D15 | C8 | semidirect |
| 41. C32×C5 | C22⋊C8 | semidirect |
| 85. C32 | #4003 | semidirect |
| 95. C5 | #63778 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C3⋊D15 | 2 |
| C2×#67127 | 2 |
| #63778 | 5 |
| #4003 | 9 |