Finite Group Databasebeta

← Group #489653

Character table — Group #489653

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444444488888888888888816161616161616161616161632323232
order12224444888824444444488884488888161616161616161644444444161616164488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111-1-11-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111
χ711111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ811111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ9111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-1-1-1-1111-1-1-11-111-1-11-11-1
χ10111111111111-1-111-1-11-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1111-1111-1-1-11-11
χ11111111111111-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-11111111-1-1-11-1-1-111-11-11
χ12111111111111-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1111-11-1-1111-11-1
χ13111111111111-1-1-1-1111-1-1-1-111-11-1-1-1111111-1-1-1-111-11-1-1-11-1-1111-1-11
χ14111111111111-1-1-1-1111-1-1-1-111-11-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-111-1
χ15111111111111-1-1-1-1111-1-1-1-111-11-1-1-111-1-1-1-1111111-11-1-1-1111-1-1-111-1
χ16111111111111-1-1-1-1111-1-1-1-111-11-1-1-111-1-1-1-11111-1-11-1111-111-1-11-1-11
χ1722222222-2-2-2-2222222222-2-2-2-222-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-2222-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-222-2-22-2-222-2-22-22-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2222-2-222-2-2-22222-2-2000000000000000000000000
χ2122222-2-2222222-20000-2-2222-2-200-2000000000000002-200-2200000000
χ2222222-2-2222222-20000-2-2222-2-200-200000000000000-22002-200000000
χ2322222-2-222222-220000-22-2-2-2-2-2002000000000000002200-2-200000000
χ2422222-2-222222-220000-22-2-2-2-2-200200000000000000-2-2002200000000
χ2522222-2-22-2-2-2-22-20000-2-22-2-2220020000000000002-2002-20000000000
χ2622222-2-22-2-2-2-22-20000-2-22-2-222002000000000000-2200-220000000000
χ2722222-2-22-2-2-2-2-220000-22-2222200-20000000000002-200-220000000000
χ2822222-2-22-2-2-2-2-220000-22-2222200-2000000000000-22002-20000000000
χ292222-222-20000222222-2-2-20000-2-20000022−2−222−2−2000000002−22−20000
χ302222-222-20000222222-2-2-20000-2-200000−2−222−2−22200000000−22−220000
χ312222-222-2000022-2-2-2-2-2-2-20000220000022−2−222−2−200000000−22−220000
χ322222-222-2000022-2-2-2-2-2-2-200002200000−2−222−2−222000000002−22−20000
χ332222-222-20000-2-222-2-2-2220000-220000022−2−2−2−222000000002−2−220000
χ342222-222-20000-2-222-2-2-2220000-2200000−2−22222−2−200000000−222−20000
χ352222-222-20000-2-2-2-222-22200002-20000022−2−2−2−22200000000−222−20000
χ362222-222-20000-2-2-2-222-22200002-200000−2−22222−2−2000000002−2−220000
χ374444-4-4-4-400004-4000044-400000000000000000000000000000000000
χ384444-4-4-4-40000-4400004-4400000000000000000000000000000000000
χ3944-4-404-4022−2222−2200004-40000022−220000022−22000000000000000000000000
χ4044-4-404-4022−2222−220000-440000022−2200000−2222000000000000000000000000
χ4144-4-404-40−2222−222200004-400000−222200000−2222000000000000000000000000
χ4244-4-404-40−2222−22220000-4400000−22220000022−22000000000000000000000000
χ4344-4-40-44022−2222−22004-40000000−222200022−2200000000000000000000000000
χ4444-4-40-44022−2222−2200-440000000−2222000−222200000000000000000000000000
χ4544-4-40-440−2222−2222004-4000000022−22000−222200000000000000000000000000
χ4644-4-40-440−2222−222200-44000000022−2200022−2200000000000000000000000000
χ474-4-44400-444-4-40000000000000000000022−2222−2200000000000000000000
χ484-4-44400-444-4-400000000000000000000−2222−222200000000000000000000
χ494-4-44400-4-4-4440000000000000000000000002i2−2i22i2−2i20000000000000000
χ504-4-44400-4-4-444000000000000000000000000−2i22i2−2i22i20000000000000000
χ514-4-44-400400000000000004i−4i0000000002-2-222i−2i−2i2i0000000000000000
χ524-4-44-400400000000000004i−4i000000000-222-2−2i2i2i−2i0000000000000000
χ534-4-44-40040000000000000−4i4i0000000002-2-22−2i2i2i−2i0000000000000000
χ544-4-44-40040000000000000−4i4i000000000-222-22i−2i−2i2i0000000000000000
χ558-88-8000042−42−424200000000000000000000000000000000000000000000
χ568-88-80000−424242−4200000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).