Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #2962 |
356 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=e,c^2=ef,f^2=g,b^a=be,h^b=h^16,d^c=dg,h^c=h^16274 conjugacy classes — view the full character table.
| maximal subgroup of | #17056386, #17056388, #17056397, … |
| maximal normal subgroup of | #17056386, #17056388, #17056397, … |
| maximal quotient of | #17032305, #17032311, #17032321, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13456);