Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C17 ⋊ #2402 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,c^b=cg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #17042663, #17042664, #17042670, … |
| maximal normal subgroup of | #17042663, #17042664, #17042670, … |
| maximal quotient of | #16956049, #16956051, #16956053, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7817);