Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C3⋊#168) |
| Hall | C3×C5 ⋊ C2×C4⋊C8 |
| Sylow | C5 ⋊ C2×C4⋊(C3⋊C8) |
| Sylow | C3 ⋊ C2×C4⋊#168 |
276 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14276746, #14276749, #14276754, … |
| maximal normal subgroup of | #14276746, #14276749, #14276754, … |
| maximal quotient of | C2×#11746278, C2×#11746279, #14285549, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5219);