Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ D3×C22⋊Q8 |
| Sylow | C3 ⋊ D5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=e,d^2=e,d^a=de,h^a=h^4,d^b=de,g^b=g^2,d^c=df90 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D5×C22⋊Q8, C2×#11752850, #14479552, … |
| maximal normal subgroup of | D3×D5×C22⋊Q8, C2×#11752850, #14479552, … |
| maximal quotient of | #14319840, #14320235, #14320241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7045);