Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C17×#452 ⋊ C2 |
| Sylow | C17 ⋊ #3007 |
754 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,e^b=eg,h^c=h^16,h^d=h^16184 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3007, C2×#14538041, #17900712, … |
| maximal normal subgroup of | D17×#3007, C2×#14538041, #17900712, … |
| maximal quotient of | #17006724, #17006763, #17006802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13767);