Finite Group Databasebeta

← Group #304097

Character table — Group #304097

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422222222444448888888888888888444444888844
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
χ5111111111111111111111111-1-1-1-111-1-1111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ91111111111111111-1-1-1-11-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-11
χ121111111111111111-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1111-1
χ131111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1111-1-111-11
χ141111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111111-1-11-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-111-111-1-1111-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1-11
χ172222222222-2-222-2-22222-2-2-2-200000022-200-2-2000000000000000000-2200000000
χ182222222222-2-222-2-22222-2-2-2-2000000-2-2-200220000000000000000002-200000000
χ192222222222-2-222-2-2-2-2-2-2-222-20000002220022000000000000000000-2-200000000
χ202222222222-2-222-2-2-2-2-2-2-222-2000000-2-2200-2-20000000000000000002200000000
χ2122222222-2-222-2-22222-2-2-222-200002200-222000000000000000000-2-20000000000
χ2222222222-2-222-2-22222-2-2-222-20000-2-200-2-2-2000000000000000000220000000000
χ2322222222-2-222-2-222-2-222-2-2-2-2000022002-2-2000000000000000000-220000000000
χ2422222222-2-222-2-222-2-222-2-2-2-20000-2-2002220000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-2222-2-2000020000000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-22-2-22200002000000000000000000000000-22000000
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
χ2922-222-2-2-2002-2002-22i−2i0002i−2i000002-20002i−2i0022−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ3022-222-2-2-2002-2002-22i−2i0002i−2i000002-20002i−2i00−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ3122-222-2-2-2002-2002-22i−2i0002i−2i00000-22000−2i2i0022−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ3222-222-2-2-2002-2002-22i−2i0002i−2i00000-22000−2i2i00−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ3322-222-2-2-2002-2002-2−2i2i000−2i2i000002-2000−2i2i0022−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3422-222-2-2-2002-2002-2−2i2i000−2i2i000002-2000−2i2i00−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ3522-222-2-2-2002-2002-2−2i2i000−2i2i00000-220002i−2i0022−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3622-222-2-2-2002-2002-2−2i2i000−2i2i00000-220002i−2i00−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ372-2-22-222-22-22-22-2-220000200-22-22-20000000002i−2i2i−2i0000000000000000002i−2i0000
χ382-2-22-222-22-22-22-2-220000200-22-22-2000000000−2i2i−2i2i000000000000000000−2i2i0000
χ392-2-22-222-22-22-22-2-220000200-2-22-220000000002i−2i2i−2i000000000000000000−2i2i0000
χ402-2-22-222-22-22-22-2-220000200-2-22-22000000000−2i2i−2i2i0000000000000000002i−2i0000
χ412-2-22-222-2-22-22-222-20000200-22-2-2200000000000002i−2i2i−2i00000000000000002i−2i00
χ422-2-22-222-2-22-22-222-20000200-22-2-220000000000000−2i2i−2i2i0000000000000000−2i2i00
χ432-2-22-222-2-22-22-222-20000200-2-222-200000000000002i−2i2i−2i0000000000000000−2i2i00
χ442-2-22-222-2-22-22-222-20000200-2-222-20000000000000−2i2i−2i2i00000000000000002i−2i00
χ45444-4-44-4-44400-4-400000000000000004-4000000000000000000000000000000000
χ46444-4-44-4-44400-4-40000000000000000-44000000000000000000000000000000000
χ47444-4-44-4-4-4-400440000000000000000000004i−4i0000000000000000000000000000
χ48444-4-44-4-4-4-40044000000000000000000000−4i4i0000000000000000000000000000
χ4944-444-4-4-400-4400-444i−4i000−4i4i000000000000000000000000000000000000000000
χ5044-444-4-4-400-4400-44−4i4i0004i−4i000000000000000000000000000000000000000000
χ514-444-4-4-44004400-4-40000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-444-4-4-44004400-4-4000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-444-4-4-4400-4-40044000000000000000000000000022−22−222200000000000000000000
χ544-444-4-4-4400-4-400440000000000000000000000000−222222−2200000000000000000000
χ554-44-44-44-400000000004i−4i00000000000000000000000002-22-22i−2i2i−2i000000000000
χ564-44-44-44-400000000004i−4i0000000000000000000000000-22-22−2i2i−2i2i000000000000
χ574-44-44-44-40000000000−4i4i00000000000000000000000002-22-2−2i2i−2i2i000000000000
χ584-44-44-44-40000000000−4i4i0000000000000000000000000-22-222i−2i2i−2i000000000000
χ594-4-44-444-44-4-444-44-40000-400400000000000000000000000000000000000000000
χ604-4-44-444-4-444-4-44-440000-400400000000000000000000000000000000000000000
χ614-4-4-444-444-400-44000000000000000000000000000000022−22−22220000000000000000
χ624-4-4-444-444-400-440000000000000000000000000000000−222222−220000000000000000
χ634-4-4-444-44-44004-40000000000000000000000000000000000022−22−2222000000000000
χ644-4-4-444-44-44004-400000000000000000000000000000000000−222222−22000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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