Finite Group Databasebeta

← Group #10770575

Character table — Group #10770575

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222444444444444444488888888888888888816161616161616161616242424242424242448484848
order1222223666224444666612121212121224446888812242424242424242444612121212121212444444442488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1
χ91111111111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111111-1-1-1-11-111-1-111-1-11-11-11-11-11-11-1
χ101111111111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111111-1-1-1-11-111-1-111-1-1-11-11-11-11-11-11
χ111111111111-1-1-1-111-1-111-1-1-1-1111-11-1-1-1-1111-1-1-1-11111-1111-1-1-1-1111-11-11-11-1-11-11
χ121111111111-1-1-1-111-1-111-1-1-1-1111-11-1-1-1-1111-1-1-1-11111-1111-1-1-1-111-11-11-11-111-11-1
χ131111111111-1-1-1-111-1-111-1-1-1-111-11-11-111-1-111111-1-1-1-1-11-1-111-1-1111-1-111-1-111-1-11
χ141111111111-1-1-1-111-1-111-1-1-1-111-11-11-111-1-111111-1-1-1-1-11-1-111-1-111-111-1-111-1-111-1
χ151111111111-1-1-1-111-1-111-1-1-1-111-11-11-1-1-1111-1-1-1-111111-1-1-11111-1-11-1-111-1-11-111-1
χ161111111111-1-1-1-111-1-111-1-1-1-111-11-11-1-1-1111-1-1-1-111111-1-1-11111-1-1-111-1-111-11-1-11
χ17222222222222-2-2-2-22222-2-2-2-2-2-2000020000-2000000000000000000002-200-220000
χ18222222222222-2-2-2-22222-2-2-2-2-2-2000020000-200000000000000000000-22002-20000
χ192222222222-2-222-2-2-2-2222222-2-20000-20000-2000000000000000000002200-2-20000
χ202222222222-2-222-2-2-2-2222222-2-20000-20000-200000000000000000000-2-200220000
χ21222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ22222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-111111111-2-2-1-1-1-11111000000000000
χ23222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ24222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-2-111111111221111-1-1-1-1000000000000
χ25222222-1-1-1-1-2-2-2-22211-1-11111-1-12-22-2122-2-2-1-1-1-1-111112-2-1-111-1-111000000000000
χ26222222-1-1-1-1-2-2-2-22211-1-11111-1-12-22-21-2-222-11111-1-1-1-1-22-1-11111-1-1000000000000
χ27222222-1-1-1-1-2-2-2-22211-1-11111-1-1-22-22122-2-2-1-1-1-1-11111-2211-1-111-1-1000000000000
χ28222222-1-1-1-1-2-2-2-22211-1-11111-1-1-22-221-2-222-11111-1-1-1-12-211-1-1-1-111000000000000
χ292222-2-222222-22-22-222-2-222-2-2220000-20000-20000000000000000002-200-22000000
χ302222-2-222222-22-22-222-2-222-2-2220000-20000-2000000000000000000-22002-2000000
χ312222-2-222222-2-22-2222-2-2-2-222-2-22-2-22-20000200000000002-2-220000000000000000
χ322222-2-222222-2-22-2222-2-2-2-222-2-2-222-2-2000020000000000-222-20000000000000000
χ332222-2-22222-222-2-22-2-2-2-222-2-2-2-222-2-220000200000000002-22-20000000000000000
χ342222-2-22222-222-2-22-2-2-2-222-2-2-2-2-2-2222000020000000000-22-220000000000000000
χ352222-2-22222-22-222-2-2-2-2-2-2-22222000020000-20000000000000000002200-2-2000000
χ362222-2-22222-22-222-2-2-2-2-2-2-22222000020000-2000000000000000000-2-20022000000
χ372222-2-2-1-1-1-12-2-22-22-1-11111-1-1112-2-2210000-133−3−333−3−300-111-13−33−3000000000000
χ382222-2-2-1-1-1-12-2-22-22-1-11111-1-1112-2-2210000-1−3−333−3−33300-111-1−33−33000000000000
χ392222-2-2-1-1-1-12-2-22-22-1-11111-1-111-222-210000-133−3−333−3−3001-1-11−33−33000000000000
χ402222-2-2-1-1-1-12-2-22-22-1-11111-1-111-222-210000-1−3−333−3−333001-1-113−33−3000000000000
χ412222-2-2-1-1-1-1-222-2-221111-1-1111122-2-2-10000-133−3−3−3−33300-11-113−3−33000000000000
χ422222-2-2-1-1-1-1-222-2-221111-1-1111122-2-2-10000-1−3−33333−3−300-11-11−333−3000000000000
χ432222-2-2-1-1-1-1-222-2-221111-1-11111-2-222-10000-133−3−3−3−333001-11-1−333−3000000000000
χ442222-2-2-1-1-1-1-222-2-221111-1-11111-2-222-10000-1−3−33333−3−3001-11-13−3−33000000000000
χ45444444-2-2-2-244-4-4-4-4-2-2-2-22222220000-200002000000000000000000000000000000
χ46444444-2-2-2-2-4-444-4-422-2-2-2-2-2-2220000200002000000000000000000000000000000
χ474444-4-4-2-2-2-24-44-44-4-2-222-2-222-2-20000200002000000000000000000000000000000
χ484444-4-4-2-2-2-2-44-444-4222222-2-2-2-20000-200002000000000000000000000000000000
χ494-44-44-444-4-4000000004-40000000000000−2i22i200000−2i22i2−2i22i20000000000000000000000
χ504-44-44-444-4-4000000004-400000000000002i2−2i2000002i2−2i22i2−2i20000000000000000000000
χ514-44-44-4-2-22200000000-2223−2323−23000000000−2i22i20i6−i6i6−i6i2−i2i2−i20000000000000000000000
χ524-44-44-4-2-22200000000-2223−2323−230000000002i2−2i20−i6i6−i6i6−i2i2−i2i20000000000000000000000
χ534-44-44-4-2-22200000000-22−2323−2323000000000−2i22i20−i6i6−i6i6i2−i2i2−i20000000000000000000000
χ544-44-44-4-2-22200000000-22−2323−23230000000002i2−2i20i6−i6i6−i6−i2i2−i2i20000000000000000000000
χ554-44-4-4444-4-400000000-4400000000000−2i22i2000−2i22i22i2−2i200000000000000000000000000
χ564-44-4-4444-4-400000000-44000000000002i2−2i20002i2−2i2−2i22i200000000000000000000000000
χ574-44-4-44-2-222000000002-223−23−23230000000−2i22i2000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ584-44-4-44-2-222000000002-223−23−232300000002i2−2i2000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ594-44-4-44-2-222000000002-2−232323−230000000−2i22i2000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ604-44-4-44-2-222000000002-2−232323−2300000002i2−2i2000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ6188-8-8008-88-800000000000000000000000000000000000000000000000000000000
χ6288-8-800-44-440000000000000043−430000000000000000000000000000000000000000
χ6388-8-800-44-4400000000000000−43430000000000000000000000000000000000000000
χ648-8-88008-8-8800000000000000000000000000000000000000000000000000000000
χ658-8-8800-444-4000000−4i34i3000000000000000000000000000000000000000000000000
χ668-8-8800-444-40000004i3−4i3000000000000000000000000000000000000000000000000

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