Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #364 |
| Sylow | C5 ⋊ #4511 |
| Sylow | C3 ⋊ #64861 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=de,c^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,h^a=h^2,g^b=g^2,h^c=h^472 conjugacy classes — view the full character table.
| maximal subgroup of | #14314421, C2×#11746565, D3×#64861, … |
| maximal normal subgroup of | #14314421, C2×#11746565, D3×#64861, … |
| maximal quotient of | #14278583, #14278632, #14278733, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 760);