Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C22×C4×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ #60560 |
2138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|c^2=h,d^2=f,g^2=h,b^a=bf,c^a=cg,e^a=eh,g^a=gh,i^a=i^12,g^c=gh544 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1037986);