Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #3055 |
548 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^16,d^b=dg352 conjugacy classes — view the full character table.
| maximal subgroup of | #17071747, #17071752, #17071769, … |
| maximal normal subgroup of | #17071747, #17071752, #17071769, … |
| maximal quotient of | #17017092, #17017114, #17017136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14129);