Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #349 |
| Sylow | C5 ⋊ #4553 |
| Sylow | C3 ⋊ #64773 |
116 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 59 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=c,c^2=e,e^2=f,b^a=bd,d^a=df,g^a=g^2,h^a=h^4,c^b=cf162 conjugacy classes — view the full character table.
| maximal subgroup of | #14277608, #14277611, #14277616, … |
| maximal normal subgroup of | #14277608, #14277611, #14277616, … |
| maximal quotient of | #14277521, #14277641, #14277777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 569);