Finite Group Databasebeta

← Group #258644

Character table — Group #258644

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-11111-1-1-1-1
χ91111111111111111-1-11-1-1-1-11-111-1-111111111-1-1-1-11111-1-1-1-1-11-111-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-111-111-1-1-1-111
χ111111111111111111-1-11-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-111
χ121111111111111111-1-11-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-1-11111-1-1
χ131111111111111111-1-11-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-111
χ141111111111111111-1-11-1-1-1-11-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-11111-1-1
χ151111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-111111-1-111-1-1
χ161111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-1111-1-1-1-111
χ172222222222-2-2-222-222-222-2-2-2-2000022-2-200000000000000002000000-200000000
χ182222222222-2-2-222-222-222-2-2-2-20000-2-2220000000000000000-2000000200000000
χ192222222222-2-2-222-2-2-2-2-2-222-22000022-2-20000000000000000-2000000200000000
χ202222222222-2-2-222-2-2-2-2-2-222-220000-2-22200000000000000002000000-200000000
χ2122222222-2-2222-2-2222-2-2-2-2-2-2222-2-2000000000000000000000-220000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-22-2-2220000000000000000000002-20000000000000
χ2322222222-2-2222-2-22-2-2-22222-2-22222000000000000000000000-2-20000000000000
χ2422222222-2-2222-2-22-2-2-22222-2-2-2-2-2-2000000000000000000000220000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2222-2000000000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-2-2-2222-2-2222-200000000000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-222000000000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-22200000000000000000000000000000000-222-20000
χ292-222-22-2-22-222-22-2-200-200002000002i−2i2i−2i000022-2-200000000000002i−2i000000000
χ302-222-22-2-22-222-22-2-200-200002000002i−2i2i−2i0000-2-2220000000000000−2i2i000000000
χ312-222-22-2-22-222-22-2-200-20000200000−2i2i−2i2i000022-2-20000000000000−2i2i000000000
χ322-222-22-2-22-222-22-2-200-20000200000−2i2i−2i2i0000-2-22200000000000002i−2i000000000
χ332-222-22-2-22-2-2-222-220020000-2000002i−2i−2i2i2i2i−2i−2i0000000000000002-200000000000
χ342-222-22-2-22-2-2-222-220020000-2000002i−2i−2i2i−2i−2i2i2i000000000000000-2200000000000
χ352-222-22-2-22-2-2-222-220020000-200000−2i2i2i−2i2i2i−2i−2i000000000000000-2200000000000
χ362-222-22-2-22-2-2-222-220020000-200000−2i2i2i−2i−2i−2i2i2i0000000000000002-200000000000
χ372-2-2-2-2222002-2200-20002-22-2002-22-20000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ382-2-2-2-2222002-2200-20002-22-2002-22-20000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ392-2-2-2-2222002-2200-20002-22-200-22-220000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ402-2-2-2-2222002-2200-20002-22-200-22-220000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ412-2-2-2-2222002-2200-2000-22-22002-2-220000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ422-2-2-2-2222002-2200-2000-22-22002-2-220000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ432-2-2-2-2222002-2200-2000-22-2200-222-20000i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ442-2-2-2-2222002-2200-2000-22-2200-222-20000−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ45444-4-4-44-444000-4-400000000000000000000000000000022−2222−220000000000000000
χ46444-4-4-44-444000-4-4000000000000000000000000000000−2222−22220000000000000000
χ47444-4-4-44-4-4-400044000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ48444-4-4-44-4-4-40004400000000000000000000000000−2i22i2−2i22i200000000000000000000
χ4944-4-444-4-4004-4-40040000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-444-4-4004-4-4004000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-444-4-400-44400-40000000000000000022−22−22220000000000000000000000000000
χ5244-4-444-4-400-44400-400000000000000000−222222−220000000000000000000000000000
χ534-444-44-4-4-4444-4-44-40040000-400000000000000000000000000000000000000000
χ544-444-44-4-4-44-4-44-44400-40000400000000000000000000000000000000000000000
χ554-44-44-4-444-4000-440000000000000000000000000000000000000000000000002i2−2i2
χ564-44-44-4-444-4000-44000000000000000000000000000000000000000000000000−2i22i2
χ574-44-44-4-44-440004-400000000000000000000000000000000000000000000002i2−2i200
χ584-44-44-4-44-440004-40000000000000000000000000000000000000000000000−2i22i200
χ594-4-444-44-4000000004i−4i000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ604-4-444-44-4000000004i−4i00000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ614-4-444-44-400000000−4i4i000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ624-4-444-44-400000000−4i4i00000000000000000000000-222-22i−2i−2i2i0000000000000000
χ634-4-4-4-444400-44-40040004-4-44000000000000000000000000000000000000000000
χ644-4-4-4-444400-44-4004000-444-4000000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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