Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1835 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=eg,c^2=d,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,h^b=h^16,h^c=h^16268 conjugacy classes — view the full character table.
| maximal subgroup of | #16921730, #16927546, #16927547, … |
| maximal normal subgroup of | #16921730, #16927546, #16927547, … |
| maximal quotient of | #16927987, #16927997, #16928008, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4640);