Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C17×#123 ⋊ C2 |
| Sylow | C17 ⋊ #2418 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|b^2=f,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^16,h^d=h^16262 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2418, C2×#14532243, #17201856, … |
| maximal normal subgroup of | D17×#2418, C2×#14532243, #17201856, … |
| maximal quotient of | #16956239, #16956453, #16957092, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7969);