Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×C4⋊Q8×C67 ⋊ C2 |
| Sylow | C67 ⋊ #21702 |
1094 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
Polycyclic presentation:
2^8,67|a^2=g,b^2=e,c^2=f,d^2=gh,e^2=h,b^a=be,c^a=cf,e^a=eh,c^b=ch,d^b=dh,i^b=i^661912 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 178139);