Finite Group Databasebeta

← Group #10831088

Character table — Group #10831088

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444444448888888888888888888888888888888888242424242424242448484848
order1222223444466612121212224466888812122424242424242424244466668888881212121212121212242424242424242424242424222222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ11111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-111-1
χ15111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ172222222-2-2-2-2222-2-2-2-222-2-2220000-2-200000000000022002i−2i002i−2i0000-2-2002i2i−2i−2i00002i2i−2i−2i000000000000
χ182222222-2-2-2-2222-2-2-2-222-2-2220000-2-20000000000002200−2i2i00−2i2i0000-2-200−2i−2i2i2i0000−2i−2i2i2i000000000000
χ192222222-2-2-2-2222-2-2-2-2-2-222220000-2-2000000000000-2-2002i−2i00−2i2i000022002i2i−2i−2i0000−2i−2i2i2i000000000000
χ202222222-2-2-2-2222-2-2-2-2-2-222220000-2-2000000000000-2-200−2i2i002i−2i00002200−2i−2i2i2i00002i2i−2i−2i000000000000
χ21222222-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111-2-222-2-21111-1-1111111-1-1-1-11111000000000000
χ23222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1111111112222-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000
χ24222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-111111111-2-2-2-2-1-11122-2-2221111-1-111-1-1-1-11111-1-1-1-1000000000000
χ25222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-12-2-2211-1-1-2-2-2-222111111-1-111111111-1-1-1-1000000000000
χ26222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-222-2111122-2-2-2-2-1-1-1-11111-1-1-1-111111111000000000000
χ27222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-1111111112-2-2211-1-12222-2-2111111-1-1-1-1-1-1-1-1-1-11111000000000000
χ28222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-111111111-222-21111-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000
χ29222222-1-2-2-2-2-1-1-1111122-2-2-1-10000113333−3−3−3−30000-1-1−i3i32i−2i002i−2i−i3−i3i3i311−i3i3−i−iii33−3−3−i−iii000000000000
χ30222222-1-2-2-2-2-1-1-1111122-2-2-1-10000113333−3−3−3−30000-1-1i3−i3−2i2i00−2i2ii3i3−i3−i311i3−i3ii−i−i33−3−3ii−i−i000000000000
χ31222222-1-2-2-2-2-1-1-1111122-2-2-1-1000011−3−3−3−333330000-1-1−i3i3−2i2i00−2i2i−i3−i3i3i311−i3i3ii−i−i−3−333ii−i−i000000000000
χ32222222-1-2-2-2-2-1-1-1111122-2-2-1-1000011−3−3−3−333330000-1-1i3−i32i−2i002i−2ii3i3−i3−i311i3−i3−i−iii−3−333−i−iii000000000000
χ33222222-1-2-2-2-2-1-1-11111-2-222-1-10000113333−3−3−3−3000011−i3i3−2i2i002i−2ii3i3−i3−i3-1-1−i3i3ii−i−i−3−333−i−iii000000000000
χ34222222-1-2-2-2-2-1-1-11111-2-222-1-10000113333−3−3−3−3000011i3−i32i−2i00−2i2i−i3−i3i3i3-1-1i3−i3−i−iii−3−333ii−i−i000000000000
χ35222222-1-2-2-2-2-1-1-11111-2-222-1-1000011−3−3−3−33333000011−i3i32i−2i00−2i2ii3i3−i3−i3-1-1−i3i3−i−iii33−3−3ii−i−i000000000000
χ36222222-1-2-2-2-2-1-1-11111-2-222-1-1000011−3−3−3−33333000011i3−i3−2i2i002i−2i−i3−i3i3i3-1-1i3−i3ii−i−i33−3−3−i−iii000000000000
χ372222-2-2222-2-222222222-22-2-2-222-2-2-2-222-2-222-2-200002-200002-20000002-20000002-22-20000000000000000
χ382222-2-2222-2-222222222-22-2-2-2-2-222-2-2-2-222-2-22200002-20000-220000002-2000000-22-220000000000000000
χ392222-2-2222-2-22222222-22-22-2-222-2-2-2-222-2-222-2-20000-220000-22000000-22000000-22-220000000000000000
χ402222-2-2222-2-22222222-22-22-2-2-2-222-2-2-2-222-2-2220000-2200002-2000000-220000002-22-20000000000000000
χ412222-2-22-2-222222-2-2-2-22-2-22-2-20000220000000022-2-22-2220000002-22-2-22-2-2000000000000000000000000
χ422222-2-22-2-222222-2-2-2-22-2-22-2-200002200000000-2-2222-2-2-2000000-22-22-2222000000000000000000000000
χ432222-2-22-2-222222-2-2-2-2-222-2-2-2000022000000002-22-2-2222000000-22-222-2-2-2000000000000000000000000
χ442222-2-22-2-222222-2-2-2-2-222-2-2-200002200000000-22-22-22-2-20000002-22-22-222000000000000000000000000
χ452222-2-2-122-2-2-1-1-1-1-1-1-12-22-21122-2-211-1-111-1-1110000-11−i3i3002-200−i3i3i3−i3-11i3−i3−i3i3−i3i3-11-11−i3i3−i3i3000000000000
χ462222-2-2-122-2-2-1-1-1-1-1-1-12-22-21122-2-211-1-111-1-1110000-11i3−i3002-200i3−i3−i3i3-11−i3i3i3−i3i3−i3-11-11i3−i3i3−i3000000000000
χ472222-2-2-122-2-2-1-1-1-1-1-1-12-22-211-2-2221111-1-111-1-10000-11−i3i300-2200−i3i3i3−i3-11i3−i3i3−i3i3−i31-11-1i3−i3i3−i3000000000000
χ482222-2-2-122-2-2-1-1-1-1-1-1-12-22-211-2-2221111-1-111-1-10000-11i3−i300-2200i3−i3−i3i3-11−i3i3−i3i3−i3i31-11-1−i3i3−i3i3000000000000
χ492222-2-2-122-2-2-1-1-1-1-1-1-1-22-221122-2-211-1-111-1-11100001-1−i3i300-2200i3−i3−i3i31-1i3−i3i3−i3i3−i31-11-1−i3i3−i3i3000000000000
χ502222-2-2-122-2-2-1-1-1-1-1-1-1-22-221122-2-211-1-111-1-11100001-1i3−i300-2200−i3i3i3−i31-1−i3i3−i3i3−i3i31-11-1i3−i3i3−i3000000000000
χ512222-2-2-122-2-2-1-1-1-1-1-1-1-22-2211-2-2221111-1-111-1-100001-1−i3i3002-200i3−i3−i3i31-1i3−i3−i3i3−i3i3-11-11i3−i3i3−i3000000000000
χ522222-2-2-122-2-2-1-1-1-1-1-1-1-22-2211-2-2221111-1-111-1-100001-1i3−i3002-200−i3i3i3−i31-1−i3i3i3−i3i3−i3-11-11−i3i3−i3i3000000000000
χ532222-2-2-1-2-222-1-1-111112-2-22110000-1-133−3−3−3−33322-2-2-11-1-1000000-11-111-1113−3−333−3−333−3−33000000000000
χ542222-2-2-1-2-222-1-1-111112-2-22110000-1-133−3−3−3−333-2-222-11110000001-11-11-1-1-1−333−33−3−33−333−3000000000000
χ552222-2-2-1-2-222-1-1-111112-2-22110000-1-1−3−33333−3−322-2-2-11-1-1000000-11-111-111−333−3−333−3−333−3000000000000
χ562222-2-2-1-2-222-1-1-111112-2-22110000-1-1−3−33333−3−3-2-222-11110000001-11-11-1-1-13−3−33−333−33−3−33000000000000
χ572222-2-2-1-2-222-1-1-11111-222-2110000-1-133−3−3−3−3332-22-21-1-1-10000001-11-1-1111−333−3−333−33−3−33000000000000
χ582222-2-2-1-2-222-1-1-11111-222-2110000-1-133−3−3−3−333-22-221-111000000-11-11-11-1-13−3−33−333−3−333−3000000000000
χ592222-2-2-1-2-222-1-1-11111-222-2110000-1-1−3−33333−3−32-22-21-1-1-10000001-11-1-11113−3−333−3−33−333−3000000000000
χ602222-2-2-1-2-222-1-1-11111-222-2110000-1-1−3−33333−3−3-22-221-111000000-11-11-11-1-1−333−33−3−333−3−33000000000000
χ612-2-222-22-222-2-2-22-2-22200002-22-22-22-22-22-22-22-20000000000000000000000000000000000002-2002-20000
χ622-2-222-22-222-2-2-22-2-22200002-22-22-22-22-22-22-22-2000000000000000000000000000000000000-2200-220000
χ632-2-222-22-222-2-2-22-2-22200002-2-22-222-2-22-22-22-220000000000000000000000000000000000002-200-220000
χ642-2-222-22-222-2-2-22-2-22200002-2-22-222-2-22-22-22-22000000000000000000000000000000000000-22002-20000
χ652-2-22-222-22-22-2-22-2-2220000-222-2-22-222-2-222-2-2200000000000000000000000000000000002-2002-2000000
χ662-2-22-222-22-22-2-22-2-2220000-222-2-22-222-2-222-2-220000000000000000000000000000000000-2200-22000000
χ672-2-22-222-22-22-2-22-2-2220000-22-222-2-22-222-2-222-200000000000000000000000000000000002-200-22000000
χ682-2-22-222-22-22-2-22-2-2220000-22-222-2-22-222-2-222-20000000000000000000000000000000000-22002-2000000
χ694-4-444-444-4-44-4-4444-4-400004-40000-44000000000000000000000000000000000000000000000000000000
χ704-4-444-4-24-4-4422-2-2-2220000-2200002-223−2323−23−2323−23230000000000000000000000000000000000000000000000
χ714-4-444-4-24-4-4422-2-2-2220000-2200002-2−2323−232323−2323−230000000000000000000000000000000000000000000000
χ724-4-444-4-2-444-422-222-2-20000-224-44-4-22-22-22-22-220000000000000000000000000000000000000000000000
χ734-4-444-4-2-444-422-222-2-20000-22-44-44-222-22-22-22-20000000000000000000000000000000000000000000000
χ744-4-44-4444-44-4-4-4444-4-40000-4400004-4000000000000000000000000000000000000000000000000000000
χ754-4-44-44-24-44-422-2-2-22200002-20000-2223−23−2323−232323−230000000000000000000000000000000000000000000000
χ764-4-44-44-24-44-422-2-2-22200002-20000-22−232323−2323−23−23230000000000000000000000000000000000000000000000
χ774-4-44-44-2-44-4422-222-2-200002-24-4-442-2-222-2-222-20000000000000000000000000000000000000000000000
χ784-4-44-44-2-44-4422-222-2-200002-2-444-42-22-2-222-2-220000000000000000000000000000000000000000000000
χ7988-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-800-40000-44443−4343−43000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-800-40000-444−4343−4343000000000000000000000000000000000000000000000000000000000000000000
χ828-88-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-800-400004-4443−43−4343000000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-400004-44−434343−43000000000000000000000000000000000000000000000000000000000000000000

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