Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #367 |
| Sylow | C5 ⋊ #4490 |
| Sylow | C3 ⋊ #64850 |
92 conjugacy classes of subgroups.
| minimal degree | μ(G) = 24 |
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=de,d^2=e,e^2=f,b^a=bd,d^a=def,e^a=ef,h^a=h^2,g^b=g^2,h^c=h^460 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64850, C2×#11746477, #14314613, … |
| maximal normal subgroup of | D3×#64850, C2×#11746477, #14314613, … |
| maximal quotient of | #14278661, #14278662, #14278831, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 672);