Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C22×C4×C8×C13 ⋊ C2 |
| Sylow | C13 ⋊ #21046 |
1178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=eg,c^2=e,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^12856 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 171860);