Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C5×#131 ⋊ D3 |
| Sylow | C5 ⋊ #5406 |
124 conjugacy classes of subgroups; only the 23 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 23 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| minimal degree | μ(G) = 37 |
| transitive degree | μt(G) = 160 |
Polycyclic presentation:
2^3,3,5,2^3|b^2=c,c^2=h,f^2=h,g^2=h,b^a=bc,c^a=ch,d^a=d^2,e^a=e^4,f^a=gh,g^a=fh,f^d=g,g^d=fgh,g^f=gh76 conjugacy classes — view the full character table.
| maximal subgroup of | #14512942, D5×#5406, #14512950, … |
| maximal normal subgroup of | #14512942, D5×#5406, #14512950, … |
| maximal quotient of | #14511925, #14511930, #14511935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6320);