Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ D3×#131 |
| Sylow | C3 ⋊ D5×#131 |
532 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 194 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=e,e^2=f,h^a=h^4,g^b=g^2,d^c=df120 conjugacy classes — view the full character table.
| maximal subgroup of | #14312990, #14313033, #14417854, … |
| maximal normal subgroup of | #14312990, #14313033, #14417854, … |
| maximal quotient of | #14411329, #14411488, #14411491, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9494);