Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1736 |
448 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,d^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,h^a=h^16,c^b=cg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16939653, #16939654, #16939687, … |
| maximal normal subgroup of | #16939653, #16939654, #16939687, … |
| maximal quotient of | #16923787, #16923797, #16923809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4231);