Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ D4×Q8 |
| Sylow | C5 ⋊ #5632 |
| Sylow | C3 ⋊ #65966 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=e,d^2=ef,b^a=bf,d^a=df,h^a=h^4,d^b=df,g^b=g^2,d^c=de87 conjugacy classes — view the full character table.
| maximal subgroup of | #14453826, #14453828, #14453860, … |
| maximal normal subgroup of | #14453826, #14453828, #14453860, … |
| maximal quotient of | #14326126, #14326129, #14327042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7894);