Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C17×#408 ⋊ C2 |
| Sylow | C17 ⋊ #2930 |
492 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=f,f^2=g,b^a=be,d^a=dg,h^a=h^16,c^b=cg,h^b=h^16,h^c=h^16268 conjugacy classes — view the full character table.
| maximal subgroup of | #16943827, #16949480, #16949482, … |
| maximal normal subgroup of | #16943827, #16949480, #16949482, … |
| maximal quotient of | #17004519, #17004528, #17004537, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13216);