Finite Group Databasebeta

← Group #280326

Character table — Group #280326

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-11111-1-111-1
χ17222222222-22-2-222-22222-2-200002200-2-200000022-2-20000000000000-2000000000
χ18222222222-22-2-222-22222-2-20000-2-200-2-2000000-2-22200000000000002000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000220022000000-2-2220000000000000-2000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-2002200000022-2-200000000000002000000000
χ2122222222-22-222-2-220000-2-22222002200-2-2-2-2-2-2000000000000200000000000000
χ2222222222-22-222-2-220000-2-2222200-2-2002222-2-2000000000000-200000000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-2002200-2-22222000000000000-200000000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-200-2-20022-2-222000000000000200000000000000
χ252222-2-2-2-220200-2-2022-2-20022−2−22-2000000002−22-20022−2−222−2−20000000000002−20
χ262222-2-2-2-220200-2-2022-2-20022−2−2-22000000002−2-220022−2−2−2−222000000000000−220
χ272222-2-2-2-220200-2-2022-2-200−2−2222-200000000−222-200−2−222−2−222000000000000−220
χ282222-2-2-2-220200-2-2022-2-200−2−222-2200000000−22-2200−2−22222−2−20000000000002−20
χ292222-2-2-2-220200-2-20-2-2220022−2−22-2000000002−2-2200−2−222−2−2220000000000002−20
χ302222-2-2-2-220200-2-20-2-2220022−2−2-22000000002−22-200−2−22222−2−2000000000000−220
χ312222-2-2-2-220200-2-20-2-22200−2−2222-200000000−22-220022−2−222−2−2000000000000−220
χ322222-2-2-2-220200-2-20-2-22200−2−222-2200000000−222-20022−2−2−2−2220000000000002−20
χ332-2-222-2-2222-2-2-22-222i−2i2i−2i2-2000000002i−2i0000000000000000000000002-2002i−2i000
χ342-2-222-2-2222-2-2-22-222i−2i2i−2i2-2000000002i−2i000000000000000000000000-2200−2i2i000
χ352-2-222-2-2222-2-2-22-22−2i2i−2i2i2-200000000−2i2i0000000000000000000000002-200−2i2i000
χ362-2-222-2-2222-2-2-22-22−2i2i−2i2i2-200000000−2i2i000000000000000000000000-22002i−2i000
χ372-2-222-2-222-2-2222-2-22i−2i2i−2i-220000002-2−2i2i2-2000000000000000002i−2i000000000000
χ382-2-222-2-222-2-2222-2-22i−2i2i−2i-22000000-22−2i2i-2200000000000000000−2i2i000000000000
χ392-2-222-2-222-2-2222-2-2−2i2i−2i2i-220000002-22i−2i2-200000000000000000−2i2i000000000000
χ402-2-222-2-222-2-2222-2-2−2i2i−2i2i-22000000-222i−2i-22000000000000000002i−2i000000000000
χ412-2-222-2-22-2-2222-22-200002-20000002-200-22000000002i−2i2i−2i00000002i−2i0000000000
χ422-2-222-2-22-2-2222-22-200002-20000002-200-2200000000−2i2i−2i2i0000000−2i2i0000000000
χ432-2-222-2-22-2-2222-22-200002-2000000-22002-2000000002i−2i2i−2i0000000−2i2i0000000000
χ442-2-222-2-22-2-2222-22-200002-2000000-22002-200000000−2i2i−2i2i00000002i−2i0000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-40-4004400000002222−22−220000000000−2222000000000000000000000000000
χ474444-4-4-4-4-40-400440000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-44-44-40404-400-40000004-44-4000000000000000000000000000000000000000
χ4944-4-44-44-40404-400-4000000-44-44000000000000000000000000000000000000000
χ5044-4-44-44-40-40-440040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-44-44-40-40-44004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-4-44-440000000000000022−22−2222000000000000002i2−2i200002i−2i−2i2i000000000000000
χ5344-4-4-44-440000000000000022−22−222200000000000000−2i22i20000−2i2i2i−2i000000000000000
χ5444-4-4-44-4400000000000000−222222−22000000000000002i2−2i20000−2i2i2i−2i000000000000000
χ5544-4-4-44-4400000000000000−222222−2200000000000000−2i22i200002i−2i−2i2i000000000000000
χ564-44-444-4-4040-4400-400000000000000000000000000000000000000000022−2200000
χ574-44-444-4-4040-4400-4000000000000000000000000000000000000000000−222200000
χ584-44-444-4-40-404-40040000000000000000004i−4i00000000000000000000000000000
χ594-44-444-4-40-404-4004000000000000000000−4i4i00000000000000000000000000000
χ604-4-444-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ614-4-44-444-440-400-4404i−4i−4i4i000000000000000000000000000000000000000000000
χ624-4-44-444-440-400-440−4i4i4i−4i000000000000000000000000000000000000000000000
χ634-4-44-444-4-404004-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ644-4-44-444-4-404004-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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