Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #2370 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=fg,c^2=ef,d^2=e,b^a=be,c^a=cf,h^a=h^16,d^b=de,h^c=h^16370 conjugacy classes — view the full character table.
| maximal subgroup of | #17056174, #17056176, #17056189, … |
| maximal normal subgroup of | #17056174, #17056176, #17056189, … |
| maximal quotient of | #16955766, #16955873, #16955883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7608);