Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | D4×C4⋊C4×C67 ⋊ C2 |
| Sylow | C67 ⋊ #22995 |
1170 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
Polycyclic presentation:
2^8,67|a^2=g,b^2=eg,d^2=e,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^66,d^b=de,f^c=fh1720 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 191806);