Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C67×#1519 ⋊ C2 |
| Sylow | C67 ⋊ #9783 |
606 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
Polycyclic presentation:
2^8,67|a^2=f,b^2=dfg,c^2=eg,d^2=gh,e^2=gh,b^a=bd,c^a=ce,d^a=dg,e^a=egh,d^b=dh,f^b=fh,i^c=i^661108 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 69086);