Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C42 |
No aliases for this group.
| Sylow | C17 ⋊ #1274 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=d,b^2=e,c^2=f,d^2=g,b^a=bc,e^a=ef,h^a=h^16,d^b=df364 conjugacy classes — view the full character table.
| maximal subgroup of | #16921099, #16921100, #16921137, … |
| maximal normal subgroup of | #16921099, #16921100, #16921137, … |
| maximal quotient of | #16920850, #16920856, #16920858, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2339);