Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×Q8×Dic3 |
| Hall | C3×C5 ⋊ C2×C4×Q8 |
| Sylow | C3 ⋊ C2×C4×C5×Q8 |
596 conjugacy classes of subgroups; only the 430 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 430 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×Dic3×#101, Dic3×#3968, C5×Dic3×#103, … |
| maximal normal subgroup of | C5×Dic3×#101, Dic3×#3968, C5×Dic3×#103, … |
| maximal quotient of | C2×C5×Dic3×C4⋊C4, C4×C5×Q8×Dic3, C2×C5×#4980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10391);