Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^9,h^c=h^16,h^d=h^13,h^e=h^16112 conjugacy classes — view the full character table.
| maximal subgroup of | #17981475, #17981478, #17981481, … |
| maximal normal subgroup of | #17981475, #17981478, #17981481, … |
| maximal quotient of | #17982719, #17982724, #17982725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21741);