Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | Q8×C22⋊C4×C67 ⋊ C2 |
| Sylow | C67 ⋊ #22534 |
1412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4288 |
Polycyclic presentation:
2^8,67|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^661705 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 186314);