Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #2961 |
348 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=e,c^2=ef,f^2=g,b^a=be,d^a=dg,c^b=cg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16943834, #16952866, #16952867, … |
| maximal normal subgroup of | #16943834, #16952866, #16952867, … |
| maximal quotient of | #17032282, #17032286, #17032298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13448);