Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C17 ⋊ #1422 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=d,b^2=c,c^2=g,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^13,h^d=h^16184 conjugacy classes — view the full character table.
| maximal subgroup of | #17949207, #17949208, #17949209, … |
| maximal normal subgroup of | #17949207, #17949208, #17949209, … |
| maximal quotient of | #17949367, #17949375, #17949397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19669);