Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | Q8×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #22534 |
1412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=e,c^2=e,d^2=e,b^a=be,c^a=cf,f^a=fh,d^b=de,g^c=gh,i^c=i^12355 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 186314);