Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×C22⋊C4 ⋊ C22 |
| Hall | C3×C5 ⋊ #518 |
| Sylow | C5 ⋊ #5545 |
| Sylow | C3 ⋊ #65820 |
676 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|d^2=e,c^a=cf,h^a=h^4,d^b=df,g^b=g^2,d^c=df114 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#5545, #14478966, D3×#65820, … |
| maximal normal subgroup of | D5×#5545, #14478966, D3×#65820, … |
| maximal quotient of | #14319648, #14319655, #14319678, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7397);