Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C17 ⋊ #2884 |
716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=g,d^2=g,b^a=be,e^a=eg,h^a=h^16,f^b=fg,d^c=dg313 conjugacy classes — view the full character table.
| maximal subgroup of | #16951916, #16951920, #16951930, … |
| maximal normal subgroup of | #16951916, #16951920, #16951930, … |
| maximal quotient of | #17000153, #17000157, #17000257, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12974);