Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C17×#464 ⋊ C2 |
| Sylow | C17 ⋊ #3040 |
500 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|b^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,f^c=fg,h^c=h^16,h^d=h^16184 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3040, C2×#14538275, #17901193, … |
| maximal normal subgroup of | D17×#3040, C2×#14538275, #17901193, … |
| maximal quotient of | #17018275, #17018284, #17018293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14001);