Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×C17×#117 ⋊ C2 |
| Sylow | C17 ⋊ #3428 |
1540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=g,e^2=f,b^a=bf,d^a=df,c^b=cf,h^c=h^16388 conjugacy classes — view the full character table.
| maximal subgroup of | #16939655, #16939658, #16939675, … |
| maximal normal subgroup of | #16939655, #16939658, #16939675, … |
| maximal quotient of | #17192536, #17192538, #17192550, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17711);