Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C17 ⋊ #1444 |
608 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=d,c^2=e,b^a=bd,c^a=ce,c^b=cf,h^c=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16928369, #16928370, #16928383, … |
| maximal normal subgroup of | #16928369, #16928370, #16928383, … |
| maximal quotient of | #16922250, #16922251, #16942926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2773);