Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C22×C5×C8 ⋊ D3 |
| Sylow | C5 ⋊ #5401 |
144 conjugacy classes of subgroups; only the 27 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 27 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| minimal degree | μ(G) = 17 |
| transitive degree | μt(G) = 120 |
Polycyclic presentation:
2^4,3,5,2^2|b^2=c,c^2=d,b^a=bc,c^a=cd,e^a=e^2,f^a=f^4,g^a=h,h^a=g,g^e=h,h^e=gh86 conjugacy classes — view the full character table.
| maximal subgroup of | #14512904, D5×#5401, #14512912, … |
| maximal normal subgroup of | #14512904, D5×#5401, #14512912, … |
| maximal quotient of | #14511925, #14511929, #14511935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6315);