Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C17 ⋊ #3458 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=g,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,c^b=cf,h^c=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16926164, #16926167, #16943265, … |
| maximal normal subgroup of | #16926164, #16926167, #16943265, … |
| maximal quotient of | #17192950, #17192953, #17193168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17915);