Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #3162 |
348 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=e,c^2=f,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^16,c^b=cg352 conjugacy classes — view the full character table.
| maximal subgroup of | #16929277, #16935314, #16935315, … |
| maximal normal subgroup of | #16929277, #16935314, #16935315, … |
| maximal quotient of | #17034747, #17037677, #17038901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 15034);