Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ #2151 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=d,e^2=f,f^2=g,b^a=bd,h^a=h^13,c^b=cg,h^b=h^16,h^e=h^16136 conjugacy classes — view the full character table.
| maximal subgroup of | #17961627, #17961629, #17961664, … |
| maximal normal subgroup of | #17961627, #17961629, #17961664, … |
| maximal quotient of | #17960060, #17960086, #17960116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20847);