Finite Group Databasebeta

← Group #304107

Character table — Group #304107

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422222222444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ5111111111111111111111111-1-1-1-111-1-1111-1-111111111111111111-1-11-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ91111111111111111-1-11-1-1-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11-1
χ101111111111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-11
χ111111111111111111-1-11-1-1-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-11
χ121111111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1111-1
χ131111111111111111-1-11-1-1-1-11-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-11
χ141111111111111111-1-11-1-1-1-11-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-11-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111-1
χ161111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-11
χ172222222222-2-222-2-222-2-2-222-200002200-222000000000000000000-200-200000000
χ182222222222-2-222-2-222-2-2-222-20000-2-200-2-2-2000000000000000000200200000000
χ192222222222-2-222-2-2-2-2-222-2-2-2000022002-2-2000000000000000000200-200000000
χ202222222222-2-222-2-2-2-2-222-2-2-20000-2-200222000000000000000000-200200000000
χ2122222222-2-222-2-22222-222-2-2-200000022-200-2-200000000000000000-22000000000
χ2222222222-2-222-2-22222-222-2-2-2000000-2-2-20022000000000000000002-2000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2000000222002200000000000000000-2-2000000000
χ2422222222-2-222-2-222-2-2-2-2-222-2000000-2-2200-2-20000000000000000022000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-2222-2-2000020000000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22-2-22200002000000000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222222-2-20000-2000000000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-2220000-20000000000000000000000002-2000000
χ2922-22-22-2-22-2002-2002i−2i0002i−2i000002-20002i−2i0022−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ3022-22-22-2-22-2002-2002i−2i0002i−2i000002-20002i−2i00−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ3122-22-22-2-22-2002-2002i−2i0002i−2i00000-22000−2i2i0022−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ3222-22-22-2-22-2002-2002i−2i0002i−2i00000-22000−2i2i00−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ3322-22-22-2-22-2002-200−2i2i000−2i2i000002-2000−2i2i0022−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3422-22-22-2-22-2002-200−2i2i000−2i2i000002-2000−2i2i00−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ3522-22-22-2-22-2002-200−2i2i000−2i2i00000-220002i−2i0022−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3622-22-22-2-22-2002-200−2i2i000−2i2i00000-220002i−2i00−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ372-2-222-22-22-22-2-222-20020000-22-22-20000000002i−2i2i−2i0000000000000000002i−2i0000
χ382-2-222-22-22-22-2-222-20020000-22-22-2000000000−2i2i−2i2i000000000000000000−2i2i0000
χ392-2-222-22-22-22-2-222-20020000-2-22-220000000002i−2i2i−2i000000000000000000−2i2i0000
χ402-2-222-22-22-22-2-222-20020000-2-22-22000000000−2i2i−2i2i0000000000000000002i−2i0000
χ412-2-222-22-2-22-222-2-220020000-22-2-2200000000000002i−2i2i−2i00000000000000002i−2i00
χ422-2-222-22-2-22-222-2-220020000-22-2-220000000000000−2i2i−2i2i0000000000000000−2i2i00
χ432-2-222-22-2-22-222-2-220020000-2-222-200000000000002i−2i2i−2i0000000000000000−2i2i00
χ442-2-222-22-2-22-222-2-220020000-2-222-20000000000000−2i2i−2i2i00000000000000002i−2i00
χ4544-44-44-4-4-4400-44004i−4i000−4i4i000000000000000000000000000000000000000000
χ4644-44-44-4-4-4400-4400−4i4i0004i−4i000000000000000000000000000000000000000000
χ4744-4-4-4-444004-400-4400000000000000000004-40000000000000000000000000000
χ4844-4-4-4-444004-400-440000000000000000000-440000000000000000000000000000
χ4944-4-4-4-44400-44004-4000000000000004-4000000000000000000000000000000000
χ5044-4-4-4-44400-44004-400000000000000-44000000000000000000000000000000000
χ514-444-4-4-444400-4-4000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-444-4-4-444400-4-400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-444-4-4-44-4-4004400000000000000000000000000022−22−222200000000000000000000
χ544-444-4-4-44-4-40044000000000000000000000000000−222222−2200000000000000000000
χ554-44-4-444-4004400-4-40000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ564-44-4-444-4004400-4-4000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ574-44-4-444-400-4-400440000000000000000000000000000022−2222−220000000000000000
χ584-44-4-444-400-4-4004400000000000000000000000000000−2222−22220000000000000000
χ594-4-444-44-44-4-44-44-4400-40000400000000000000000000000000000000000000000
χ604-4-444-44-4-444-44-44-400-40000400000000000000000000000000000000000000000
χ614-4-4-444-44000000000004-40000000000000000000000002-2-222-2-22000000000000
χ624-4-4-444-44000000000004-4000000000000000000000000-222-2-222-2000000000000
χ634-4-4-444-4400000000000-440000000000000000000000002-2-22-222-2000000000000
χ644-4-4-444-4400000000000-44000000000000000000000000-222-22-2-22000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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