Finite Group Databasebeta

← Group #489571

Character table — Group #489571

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444444488888888888888816161616161616161616161632323232
order12224444888822244444488882488888161616161616161622244444161616162488
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
χ511111111111111-1-1-1-11-1-1-1-111-11-111-1-11111-1-1-1-1111-11-1-1-111-1-11-11-1
χ611111111111111-1-1-1-11-1-1-1-111-11-111-1-11111-1-1-1-1-1-1-11-111111-1-1-11-11
χ711111111111111-1-1-1-11-1-1-1-111-11-111-1-1-1-1-1-11111111-11-1-1-1-1-111-11-11
χ811111111111111-1-1-1-11-1-1-1-111-11-111-1-1-1-1-1-11111-1-1-11-1111-1-1111-11-1
χ9111111111111-1-111-1-11111111-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-111-1-1
χ10111111111111-1-111-1-11111111-1-11-1-1-1-111111111-1-1111-1-11-1-1-1-1-1-111
χ11111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-111
χ12111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1
χ13111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-11-1-1-11-1-1111-1-11
χ14111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-111-111-1
χ15111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-1111111-11-1-1-1111-1-1-111-1
χ16111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-11-1111-111-1-11-1-11
χ1722222222-2-2-2-2222222222-2-2-2-222-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-22-2-222-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-222-2-2222-2-2-2-2-2-2-22222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2222-2-222-2-22-2222-2-2000000000000000000000000
χ2122222-2-220000222-2-2-2-22-200002-20000022−2−222−2−2000000002−22−20000
χ2222222-2-220000222-2-2-2-22-200002-200000−2−222−2−22200000000−22−220000
χ2322222-2-22000022-2222-2-220000-2-20000022−2−2−2−222000000002−2−220000
χ2422222-2-22000022-2222-2-220000-2-200000−2−22222−2−200000000−222−20000
χ2522222-2-220000-2-22-222-22-20000-220000022−2−222−2−200000000−22−220000
χ2622222-2-220000-2-22-222-22-20000-2200000−2−222−2−222000000002−22−20000
χ2722222-2-220000-2-2-22-2-2-2-220000220000022−2−2−2−22200000000−222−20000
χ2822222-2-220000-2-2-22-2-2-2-2200002200000−2−22222−2−2000000002−2−220000
χ292222-222-22222002200-2-2-222-2-200-2000000000000002-2-200200000000
χ302222-222-22222002200-2-2-222-2-200-200000000000000-22200-200000000
χ312222-222-2222200-2-200-222-2-2-2-20020000000000000022-200-200000000
χ322222-222-2222200-2-200-222-2-2-2-200200000000000000-2-2200200000000
χ332222-222-2-2-2-2-2002200-2-2-2-2-2220020000000000002-20002-2000000000
χ342222-222-2-2-2-2-2002200-2-2-2-2-222002000000000000-22000-22000000000
χ352222-222-2-2-2-2-200-2-200-222222200-20000000000002-2000-22000000000
χ362222-222-2-2-2-2-200-2-200-222222200-2000000000000-220002-2000000000
χ374444-4-4-4-40000004-4004-4400000000000000000000000000000000000
χ384444-4-4-4-4000000-440044-400000000000000000000000000000000000
χ3944-4-404-4000000000000004i−4i0000000002-22-22i−2i2i−2i0000000000000000
χ4044-4-404-4000000000000004i−4i000000000-22-22−2i2i−2i2i0000000000000000
χ4144-4-404-400000000000000−4i4i0000000002-22-2−2i2i−2i2i0000000000000000
χ4244-4-404-400000000000000−4i4i000000000-22-222i−2i2i−2i0000000000000000
χ4344-4-40-44044-4-40000000000000000000000002i2−2i2−2i22i20000000000000000
χ4444-4-40-44044-4-4000000000000000000000000−2i22i22i2−2i20000000000000000
χ4544-4-40-440-4-4440000000000000000000022−22−222200000000000000000000
χ4644-4-40-440-4-44400000000000000000000−222222−2200000000000000000000
χ474-44-4400-422−2222−2200004i−4i0000022−22000002i2−2i2000000000000000000000000
χ484-44-4400-422−2222−220000−4i4i0000022−2200000−2i22i2000000000000000000000000
χ494-44-4400-4−2222−222200004i−4i00000−222200000−2i22i2000000000000000000000000
χ504-44-4400-4−2222−22220000−4i4i00000−2222000002i2−2i2000000000000000000000000
χ514-44-4-400422−2222−224-4000000000−222200022−2200000000000000000000000000
χ524-44-4-400422−2222−22-44000000000−2222000−222200000000000000000000000000
χ534-44-4-4004−2222−22224-400000000022−22000−222200000000000000000000000000
χ544-44-4-4004−2222−2222-4400000000022−2200022−2200000000000000000000000000
χ558-8-88000042−42−424200000000000000000000000000000000000000000000
χ568-8-880000−424242−4200000000000000000000000000000000000000000000

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