Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×C17×#117 ⋊ C2 |
| Sylow | C17 ⋊ #2474 |
526 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|b^2=ef,c^2=e,d^2=f,b^a=be,c^a=cf,d^a=de,c^b=cg,h^c=h^16358 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#2474, C2×#14532934, #17202711, … |
| maximal normal subgroup of | D17×#2474, C2×#14532934, #17202711, … |
| maximal quotient of | #16956484, #16956892, #16957296, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 8660);