Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×Dic5×Dic6 |
| Hall | C3×C5 ⋊ C2×C4×Q8 |
| Sylow | C5 ⋊ C2×C4×Dic6 |
| Sylow | C3 ⋊ C2×Q8×Dic5 |
596 conjugacy classes of subgroups; only the 288 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 288 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14280950, #14281168, C2×#11746492, … |
| maximal normal subgroup of | #14280950, #14281168, C2×#11746492, … |
| maximal quotient of | C2×Dic5×Dic3⋊C4, C2×Dic5×C4⋊Dic3, C4×Dic5×Dic6, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8384);