Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ #2153 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=d,d^2=g,e^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^13,c^b=cg,h^e=h^16124 conjugacy classes — view the full character table.
| maximal subgroup of | #17961627, #17961629, #17961664, … |
| maximal normal subgroup of | #17961627, #17961629, #17961664, … |
| maximal quotient of | #17960058, #17960084, #17960114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20851);