Finite Group Databasebeta

← Group #10826809

Character table — Group #10826809

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order12222222223666666666224444444412121212224444444466121212121212121212122444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-11-11111111111111111-1-11-1-1-11-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1111111111111-1-1
χ911111111111111111111-11-1-1-1111-1-111111111-1-1-1-11-1-11-1-1-11-1-111-1-11-1-11-1-1111-1
χ1011111111111111111111-11-1-1-1111-1-11111-1-1-1-111111-1-11-1-1-11-1-111-1-1-111-111-1-1-11
χ1111111111111111111111-11-1-1-11-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1111-1-1111-1-1111-1-1-11
χ1211111111111111111111-11-1-1-11-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-1111-1-111-111-1-1-1111-1
χ1311111111111111111111-1-111-1-111-1-111111111-1-1-1-1-11-1-111-1-1-1-1-1-111-111-1-1-111-11
χ1411111111111111111111-1-111-1-111-1-11111-1-1-1-11111-11-1-111-1-1-1-1-1-1111-1-1111-1-11-1
χ1511111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-111-111-1-11-1
χ1611111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1-11-1-111-11
χ172222222222-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-10000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222222-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2111100000000-2-2-1-1-1-1-1-11111110000000000
χ192222222222-1-1-1-1-1-1-1-1-1-12-2-2-22-22222-1-1-1-100000000-2-2-1111-11-1-111110000000000
χ202222222222-1-1-1-1-1-1-1-1-1-12-2-2-22-2-2-2-2-211110000000022-1111-1111-1-1-1-10000000000
χ212222222222-1-1-1-1-1-1-1-1-1-1-22-2-2-2222-2-2-1-1-1-1000000002-21-1111-111-1-1110000000000
χ222222222222-1-1-1-1-1-1-1-1-1-1-22-2-2-22-2-222111100000000-221-1111-1-1-111-1-10000000000
χ232222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2-1-1-1-100000000-2211-1-1111111-1-10000000000
χ242222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2221111000000002-211-1-111-1-1-1-1110000000000
χ2522222-2-2-2-2222222-2-22-2-22000-200000000022-2-222-2-2002000-200000000000000000
χ2622222-2-2-2-2222222-2-22-2-22000-2000000000-2-222-2-222002000-200000000000000000
χ2722222-2-2-2-2222222-2-22-2-2-2000200000000022-2-2-2-22200-2000200000000000000000
χ2822222-2-2-2-2222222-2-22-2-2-20002000000000-2-22222-2-200-2000200000000000000000
χ292222-22-22-2-22222-22-2-22-2002-2000000000000002-22-200002-200000000200-2000000
χ302222-22-22-2-22222-22-2-22-2002-200000000000000-22-2200002-200000000-2002000000
χ312222-22-22-2-22222-22-2-22-200-22000000000000002-22-20000-2200000000-2002000000
χ322222-22-22-2-22222-22-2-22-200-2200000000000000-22-220000-2200000000200-2000000
χ332222-2-22-22-22222-2-22-2-2202000-20000000000002-2-220002000-200000002-20000000
χ342222-2-22-22-22222-2-22-2-2202000-2000000000000-222-20002000-20000000-220000000
χ352222-2-22-22-22222-2-22-2-220-200020000000000002-2-22000-200020000000-220000000
χ362222-2-22-22-22222-2-22-2-220-20002000000000000-222-2000-2000200000002-20000000
χ372-2-22-22-2-2222-2-22-2-2222-2000000002-200002-22-20000000000002-2000000002-20000
χ382-2-22-22-2-2222-2-22-2-2222-2000000002-20000-22-220000000000002-200000000-220000
χ392-2-22-22-2-2222-2-22-2-2222-200000000-2200002-22-2000000000000-2200000000-220000
χ402-2-22-22-2-2222-2-22-2-2222-200000000-220000-22-22000000000000-22000000002-20000
χ412-2-22-2-222-222-2-22-22-22-220000002-20022-2-22-2-220000000000000000000000002-200
χ422-2-22-2-222-222-2-22-22-22-220000002-20022-2-2-222-2000000000000000000000000-2200
χ432-2-22-2-222-222-2-22-22-22-22000000-2200-2-2222-2-22000000000000000000000000-2200
χ442-2-22-2-222-222-2-22-22-22-22000000-2200-2-222-222-20000000000000000000000002-200
χ4544444-4-4-4-44-2-2-2-2-222-2224000-40000000000000000000-2000200000000000000000
χ4644444-4-4-4-44-2-2-2-2-222-222-4000400000000000000000002000-200000000000000000
χ474444-44-44-4-4-2-2-2-22-222-22004-40000000000000000000000-22000000000000000000
χ484444-44-44-4-4-2-2-2-22-222-2200-4400000000000000000000002-2000000000000000000
χ494444-4-44-44-4-2-2-2-222-222-204000-40000000000000000000-200020000000000000000
χ504444-4-44-44-4-2-2-2-222-222-20-4000400000000000000000002000-20000000000000000
χ514-4-44444-4-4-44-4-444-4-4-4440000000000000000000000000000000000000000000000
χ524-4-44444-4-4-4-222-2-2222-2-200000000000000000000000000000000−2i32i3000000000000
χ534-4-44444-4-4-4-222-2-2222-2-2000000000000000000000000000000002i3−2i3000000000000
χ544-4-444-4-444-44-4-44444-4-4-40000000000000000000000000000000000000000000000
χ554-4-444-4-444-4-222-2-2-2-2222000000000000000000000000000000000023−230000000000
χ564-4-444-4-444-4-222-2-2-2-22220000000000000000000000000000000000−23230000000000
χ574-4-44-44-4-444-222-222-2-2-22000000004-400000000000000000000-2200000000000000
χ584-4-44-44-4-444-222-222-2-2-2200000000-44000000000000000000002-200000000000000
χ594-4-44-4-444-44-222-22-22-22-20000004-400-2-22200000000000000000000000000000000
χ604-4-44-4-444-44-222-22-22-22-2000000-440022-2-200000000000000000000000000000000
χ6188-8-800000088-8-80000000000000000000000000000000000000000000000000000
χ6288-8-8000000-4-444000000000000000023−2323−2300000000000000000000000000000000
χ6388-8-8000000-4-4440000000000000000−2323−232300000000000000000000000000000000
χ648-88-80000008-88-80000000000000000000000000000000000000000000000000000
χ658-88-8000000-44-44000000000000000023−23−232300000000000000000000000000000000
χ668-88-8000000-44-440000000000000000−232323−2300000000000000000000000000000000

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