Finite Group Databasebeta

← Group #294012

Character table — Group #294012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ51111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ91111111111111111-1-1-1-1-1-111-111-1-1111111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-1111-1
χ121111111111111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11111-1-1-11
χ131111111111111111-1-1-1-1-1-111-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111-11
χ161111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-11-1
χ172222222222-2-222-2-22222-2-2-2-2-20000000022220000000000000000-2-20000000000
χ182222222222-2-222-2-22222-2-2-2-2-200000000-2-2-2-20000000000000000220000000000
χ192222222222-2-222-2-2-2-2-2-222-2-220000000022-2-20000000000000000-220000000000
χ202222222222-2-222-2-2-2-2-2-222-2-2200000000-2-22200000000000000002-20000000000
χ2122222222-2-222-2-22222-2-222-2-2-222-2-200000000000000000000000000-2200000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-222000000000000000000000000002-200000000
χ2322222222-2-222-2-222-2-222-2-2-2-22222200000000000000000000000000-2-200000000
χ2422222222-2-222-2-222-2-222-2-2-2-22-2-2-2-2000000000000000000000000002200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222000022-2-20000000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22220000-2-222000000000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000022-2-2000000000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-20000-2-2220000000000000000000000002-2000000
χ2922-222-2-2-2-2-20022002-22-200000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ3022-222-2-2-2-2-20022002-22-200000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ3122-222-2-2-2-2-20022002-22-20000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ3222-222-2-2-2-2-20022002-22-20000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ3322-222-2-2-2-2-2002200-22-2200000000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ3422-222-2-2-2-2-2002200-22-2200000000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ3522-222-2-2-2-2-2002200-22-220000000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ3622-222-2-2-2-2-2002200-22-220000000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ3722-2-2-2-2222-22-22-22-20000002-2000002i−2i2i−2i000000002i−2i2i−2i00000000000000002-200
χ3822-2-2-2-2222-22-22-22-20000002-2000002i−2i2i−2i00000000−2i2i−2i2i0000000000000000-2200
χ3922-2-2-2-2222-22-22-22-20000002-200000−2i2i−2i2i000000002i−2i2i−2i0000000000000000-2200
χ4022-2-2-2-2222-22-22-22-20000002-200000−2i2i−2i2i00000000−2i2i−2i2i00000000000000002-200
χ4122-2-2-2-222-22-22-22-220000002-2000002i−2i−2i2i00002i−2i2i−2i0000000000000000002-20000
χ4222-2-2-2-222-22-22-22-220000002-2000002i−2i−2i2i0000−2i2i−2i2i000000000000000000-220000
χ4322-2-2-2-222-22-22-22-220000002-200000−2i2i2i−2i00002i−2i2i−2i000000000000000000-220000
χ4422-2-2-2-222-22-22-22-220000002-200000−2i2i2i−2i0000−2i2i−2i2i0000000000000000002-20000
χ45444-4-44-4-44-400-440000000000000000000000022−22−2222000000000000000000000000
χ46444-4-44-4-44-400-4400000000000000000000000−222222−22000000000000000000000000
χ47444-4-44-4-4-44004-400000000000000000000000000022−22−222200000000000000000000
χ48444-4-44-4-4-44004-4000000000000000000000000000−222222−2200000000000000000000
χ4944-444-4-4-44400-4-4004-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-44400-4-400-444-4000000000000000000000000000000000000000000000
χ5144-4-4-4-4444-4-444-4-44000000-4400000000000000000000000000000000000000000
χ5244-4-4-4-444-444-4-444-4000000-4400000000000000000000000000000000000000000
χ534-444-4-44-40000000000004i−4i000000000000000000000002-22-22i−2i2i−2i000000000000
χ544-444-4-44-40000000000004i−4i00000000000000000000000-22-22−2i2i−2i2i000000000000
χ554-444-4-44-4000000000000−4i4i000000000000000000000002-22-2−2i2i−2i2i000000000000
χ564-444-4-44-4000000000000−4i4i00000000000000000000000-22-222i−2i2i−2i000000000000
χ574-44-44-4-44004-400-440000000004i−4i00000000000000000000000000000000000000
χ584-44-44-4-44004-400-44000000000−4i4i00000000000000000000000000000000000000
χ594-44-44-4-4400-44004-4000000000004i−4i000000000000000000000000000000000000
χ604-44-44-4-4400-44004-400000000000−4i4i000000000000000000000000000000000000
χ614-4-44-44-44004400-4-40000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ624-4-44-44-44004400-4-4000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ634-4-44-44-4400-4-400440000000000000000000000000000022−22−22220000000000000000
χ644-4-44-44-4400-4-4004400000000000000000000000000000−222222−220000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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