Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C3×C5×C22⋊C4 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C4×D3×D4 |
| Sylow | C3 ⋊ C4×D4×D5 |
852 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,c^b=cf,g^b=g^2,d^c=df120 conjugacy classes — view the full character table.
| maximal subgroup of | #14414652, #14414775, #14414801, … |
| maximal normal subgroup of | #14414652, #14414775, #14414801, … |
| maximal quotient of | #14319390, C22⋊C4×#1200, #14319445, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7398);