Finite Group Databasebeta

← Group #10826805

Character table — Group #10826805

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222222224444444444888888888888888888888888121212121616161616161616242424242424242424244848
order1222222222366622446666662244444466666612121212121212121212444444121212121212222224444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-1-111-1-1
χ411111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-111
χ5111111111111111111111111-1-11111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1
χ6111111111111111111111111-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111-11111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-1-1111-1-11-1-1-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-11-1-1-111-1111-11
χ1111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-11-1-1-1-111-111-11-1-11-1-1-11
χ1211111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1111-1-11-111-1111-1
χ1311111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11-1-11-111-11
χ1411111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111111-111-11-1-11-1
χ1511111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-11-1-11111-1
χ1611111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-11111-111-1-1-1-11
χ172222222222-1-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1000000000000
χ182222222222-1-1-1-12222-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1111111110000-2-2-1-11111000000000000
χ192222222222-1-1-1-12222-1-1-1-1-1-1-2-22222-2-2-1-11111-1-1-1-1-1-1-1-1-1-10000-2-2111111000000000000
χ202222222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-11111111100002211-1-1-1-1000000000000
χ212222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-12222-2-2-2-211-1-1-1-111-1-1-1-1111100002-211-1-111000000000000
χ222222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-2-222-2-211-1-1-1-1111111-1-1-1-10000-221111-1-1000000000000
χ232222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-111110000-22-1-111-1-1000000000000
χ242222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-22222111111111111-1-1-1-100002-2-1-1-1-111000000000000
χ2522222-2-2-2-22222222-2-22-2-22-2-200000000220000-2-20000000022-2-20000000020000-2000000
χ2622222-2-2-2-22222222-2-22-2-22-2-200000000220000-2-200000000-2-22200000000-200002000000
χ2722222-2-2-2-222222-2-2222-2-22-2-200000000-2-20000220000000022-2-200000000-200002000000
χ2822222-2-2-2-222222-2-2222-2-22-2-200000000-2-200002200000000-2-2220000000020000-2000000
χ292222-22-22-2-222220000-22-2-22-200002-20000000000000022-2-22-22-2000000000000200-20000
χ302222-22-22-2-222220000-22-2-22-200002-20000000000000022-2-2-22-22000000000000-20020000
χ312222-22-22-2-222220000-22-2-22-20000-2200000000000000-2-2222-22-2000000000000-20020000
χ322222-22-22-2-222220000-22-2-22-20000-2200000000000000-2-222-22-22000000000000200-20000
χ332222-2-22-22-222220000-2-22-2-22002-200000000000022-2-200002-2-2200000000000200-200000
χ342222-2-22-22-222220000-2-22-2-22002-200000000000022-2-20000-222-200000000000-200200000
χ352222-2-22-22-222220000-2-22-2-2200-22000000000000-2-22200002-2-2200000000000-200200000
χ362222-2-22-22-222220000-2-22-2-2200-22000000000000-2-2220000-222-200000000000200-200000
χ372-2-22-222-2-2222-2-22-22-2-2-2-2222000000002-200002-20000000000000000000002-2000002-200
χ382-2-22-222-2-2222-2-22-22-2-2-2-2222000000002-200002-2000000000000000000000-2200000-2200
χ392-2-22-222-2-2222-2-2-22-22-2-2-222200000000-220000-220000000000000000000002-200000-2200
χ402-2-22-222-2-2222-2-2-22-22-2-2-222200000000-220000-22000000000000000000000-22000002-200
χ412-2-22-2-2-222222-2-22-2-22-2222-2-22-200002-22-222-2-2-22000000000000002-20000000000000000
χ422-2-22-2-2-222222-2-22-2-22-2222-2-2-220000-222-2-2-222-2200000000000000-220000000000000000
χ432-2-22-2-2-222222-2-2-222-2-2222-2-22-20000-22-2222-2-22-200000000000000-220000000000000000
χ442-2-22-2-2-222222-2-2-222-2-2222-2-2-2200002-2-22-2-2222-2000000000000002-20000000000000000
χ452-2-22-2-2-2222-1-1112-2-221-1-1-1112-200002-2-11-1-1111-13−33−33−33−3000000-113−33−3000000000000
χ462-2-22-2-2-2222-1-1112-2-221-1-1-1112-200002-2-11-1-1111-1−33−33−33−33000000-11−33−33000000000000
χ472-2-22-2-2-2222-1-1112-2-221-1-1-111-220000-22-1111-1-11-13−33−33−33−30000001-1−33−33000000000000
χ482-2-22-2-2-2222-1-1112-2-221-1-1-111-220000-22-1111-1-11-1−33−33−33−330000001-13−33−3000000000000
χ492-2-22-2-2-2222-1-111-222-21-1-1-1112-20000-221-1-1-111-113−33−3−33−330000001-13−3−33000000000000
χ502-2-22-2-2-2222-1-111-222-21-1-1-1112-20000-221-1-1-111-11−33−333−33−30000001-1−333−3000000000000
χ512-2-22-2-2-2222-1-111-222-21-1-1-111-2200002-21-111-1-1-113−33−3−33−33000000-11−333−3000000000000
χ522-2-22-2-2-2222-1-111-222-21-1-1-111-2200002-21-111-1-1-11−33−333−33−3000000-113−3−33000000000000
χ5344444-4-4-4-44-2-2-2-244-4-4-222-22200000000-2-200002200000000000000000000000000000000
χ5444444-4-4-4-44-2-2-2-2-4-444-222-22200000000220000-2-200000000000000000000000000000000
χ554444-44-44-4-4-2-2-2-200002-222-2200004-400000000000000-2-222000000000000000000000000
χ564444-44-44-4-4-2-2-2-200002-222-220000-440000000000000022-2-2000000000000000000000000
χ574444-4-44-44-4-2-2-2-2000022-222-2004-4000000000000-2-2220000000000000000000000000000
χ584444-4-44-44-4-2-2-2-2000022-222-200-4400000000000022-2-20000000000000000000000000000
χ594-4-4444-4-44-444-4-400004-44-44-4000000000000000000000000000000000000000000000000
χ604-4-4444-4-44-4-2-2220000-22-22-22000000000000000023−23−23230000000000000000000000000000
χ614-4-4444-4-44-4-2-2220000-22-22-220000000000000000−232323−230000000000000000000000000000
χ624-4-444-444-4-444-4-4000044-4-4-44000000000000000000000000000000000000000000000000
χ634-4-444-444-4-4-2-2220000-2-2222-20000000000000000000023−23−2323000000000000000000000000
χ644-4-444-444-4-4-2-2220000-2-2222-200000000000000000000−232323−23000000000000000000000000
χ654-4-44-444-4-44-2-2224-44-4222-2-2-200000000-220000-2200000000000000000000000000000000
χ664-4-44-444-4-44-2-222-44-44222-2-2-2000000002-200002-200000000000000000000000000000000
χ6788-8-80000008-88-80000000000000000000000000000000000000000000000000000000000
χ6888-8-8000000-44-4400000000000000000000−2i32i3−2i32i30000000000000000000000000000000000
χ6988-8-8000000-44-44000000000000000000002i3−2i32i3−2i30000000000000000000000000000000000
χ708-88-80000008-8-880000000000000000000000000000000000000000000000000000000000
χ718-88-8000000-444-400000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ728-88-8000000-444-4000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000

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