Finite Group Databasebeta

← Group #10877384

Character table — Group #10877384

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444444448888888888888888888888888888888888242424242424242448484848
order1244222344466612121212224466888812122424242424242424244466668888881212121212121212242424242424242424242424888888884444
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
χ9111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ11111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-111-1
χ15111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ172222222-1222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111-2-222-2-21111-1-1111111-1-1-1-11111000000000000
χ192222222-1222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1111111112222-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000
χ202222222-1222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-111111111-2-2-2-2-1-11122-2-2221111-1-111-1-1-1-11111-1-1-1-1000000000000
χ212222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-122-2-211-1-1-2-2-2-222111111-1-111111111-1-1-1-1000000000000
χ222222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-2-222111122-2-2-2-2-1-1-1-11111-1-1-1-111111111000000000000
χ232222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-11111111122-2-211-1-12222-2-2111111-1-1-1-1-1-1-1-1-1-11111000000000000
χ242222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-111111111-2-2221111-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000
χ2522222-2-22-2-2222222222-22-2-2-222-2-2-2-22222-2-2-2-200002-200002-20000002-200000022-2-20000000000000000
χ2622222-2-22-2-2222222222-22-2-2-2-2-222-2-2-2-2-2-2222200002-20000-220000002-2000000-2-2220000000000000000
χ2722222-2-22-2-222222222-22-22-2-222-2-2-2-22222-2-2-2-20000-220000-22000000-22000000-2-2220000000000000000
χ2822222-2-22-2-222222222-22-22-2-2-2-222-2-2-2-2-2-222220000-2200002-2000000-2200000022-2-20000000000000000
χ2922222-2-2-1-2-22-1-1-1-1-1-1-12-22-21122-2-211-1-1-1-111110000-11−i3i3002-200−i3−i3i3i3-11−i3i3−i3−i3i3i3-1-111−i3−i3i3i3000000000000
χ3022222-2-2-1-2-22-1-1-1-1-1-1-12-22-21122-2-211-1-1-1-111110000-11i3−i3002-200i3i3−i3−i3-11i3−i3i3i3−i3−i3-1-111i3i3−i3−i3000000000000
χ3122222-2-2-1-2-22-1-1-1-1-1-1-12-22-211-2-222111111-1-1-1-10000-11−i3i300-2200−i3−i3i3i3-11−i3i3i3i3−i3−i311-1-1i3i3−i3−i3000000000000
χ3222222-2-2-1-2-22-1-1-1-1-1-1-12-22-211-2-222111111-1-1-1-10000-11i3−i300-2200i3i3−i3−i3-11i3−i3−i3−i3i3i311-1-1−i3−i3i3i3000000000000
χ3322222-2-2-1-2-22-1-1-1-1-1-1-1-22-221122-2-211-1-1-1-1111100001-1−i3i300-2200i3i3−i3−i31-1−i3i3i3i3−i3−i311-1-1−i3−i3i3i3000000000000
χ3422222-2-2-1-2-22-1-1-1-1-1-1-1-22-221122-2-211-1-1-1-1111100001-1i3−i300-2200−i3−i3i3i31-1i3−i3−i3−i3i3i311-1-1i3i3−i3−i3000000000000
χ3522222-2-2-1-2-22-1-1-1-1-1-1-1-22-2211-2-222111111-1-1-1-100001-1−i3i3002-200i3i3−i3−i31-1−i3i3−i3−i3i3i3-1-111i3i3−i3−i3000000000000
χ3622222-2-2-1-2-22-1-1-1-1-1-1-1-22-2211-2-222111111-1-1-1-100001-1i3−i3002-200−i3−i3i3i31-1i3−i3i3i3−i3−i3-1-111−i3−i3i3i3000000000000
χ3722-2-22222-2-2-2222-2-2-2-22-2-22220000-2-20000000000002-2002i−2i002i−2i0000-22002i−2i2i−2i00002i−2i2i−2i000000000000
χ3822-2-22222-2-2-2222-2-2-2-22-2-22220000-2-20000000000002-200−2i2i00−2i2i0000-2200−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3922-2-22222-2-2-2222-2-2-2-2-222-2220000-2-2000000000000-22002i−2i00−2i2i00002-2002i−2i2i−2i0000−2i2i−2i2i000000000000
χ4022-2-22222-2-2-2222-2-2-2-2-222-2220000-2-2000000000000-2200−2i2i002i−2i00002-200−2i2i−2i2i00002i−2i2i−2i000000000000
χ4122-2-2222-1-2-2-2-1-1-111112-2-22-1-100001133−3−333−3−30000-11−i3i32i−2i002i−2i−i3i3−i3i31-1i3−i3−ii−ii3−33−3−ii−ii000000000000
χ4222-2-2222-1-2-2-2-1-1-111112-2-22-1-100001133−3−333−3−30000-11i3−i3−2i2i00−2i2ii3−i3i3−i31-1−i3i3i−ii−i3−33−3i−ii−i000000000000
χ4322-2-2222-1-2-2-2-1-1-111112-2-22-1-1000011−3−333−3−3330000-11−i3i3−2i2i00−2i2i−i3i3−i3i31-1i3−i3i−ii−i−33−33i−ii−i000000000000
χ4422-2-2222-1-2-2-2-1-1-111112-2-22-1-1000011−3−333−3−3330000-11i3−i32i−2i002i−2ii3−i3i3−i31-1−i3i3−ii−ii−33−33−ii−ii000000000000
χ4522-2-2222-1-2-2-2-1-1-11111-222-2-1-100001133−3−333−3−300001-1−i3i3−2i2i002i−2ii3−i3i3−i3-11i3−i3i−ii−i−33−33−ii−ii000000000000
χ4622-2-2222-1-2-2-2-1-1-11111-222-2-1-100001133−3−333−3−300001-1i3−i32i−2i00−2i2i−i3i3−i3i3-11−i3i3−ii−ii−33−33i−ii−i000000000000
χ4722-2-2222-1-2-2-2-1-1-11111-222-2-1-1000011−3−333−3−33300001-1−i3i32i−2i00−2i2ii3−i3i3−i3-11i3−i3−ii−ii3−33−3i−ii−i000000000000
χ4822-2-2222-1-2-2-2-1-1-11111-222-2-1-1000011−3−333−3−33300001-1i3−i3−2i2i002i−2i−i3i3−i3i3-11−i3i3i−ii−i3−33−3−ii−ii000000000000
χ4922-2-22-2-2222-2222-2-2-2-222-2-2-2-2000022000000002-22-222220000002-2-22-2-2-2-2000000000000000000000000
χ5022-2-22-2-2222-2222-2-2-2-222-2-2-2-200002200000000-22-2222-2-2000000-222-2-2-222000000000000000000000000
χ5122-2-22-2-2222-2222-2-2-2-2-2-222-2-2000022000000002-2-22-2-222000000-222-222-2-2000000000000000000000000
χ5222-2-22-2-2222-2222-2-2-2-2-2-222-2-200002200000000-222-2-2-2-2-20000002-2-222222000000000000000000000000
χ5322-2-22-2-2-122-2-1-1-1111122-2-2110000-1-133−3−3−3−3332-22-2-1-1-1-1000000-111-111113−3−333−3−333−3−33000000000000
χ5422-2-22-2-2-122-2-1-1-1111122-2-2110000-1-133−3−3−3−333-22-22-1-1110000001-1-1111-1-1−333−33−3−33−333−3000000000000
χ5522-2-22-2-2-122-2-1-1-1111122-2-2110000-1-1−3−33333−3−32-22-2-1-1-1-1000000-111-11111−333−3−333−3−333−3000000000000
χ5622-2-22-2-2-122-2-1-1-1111122-2-2110000-1-1−3−33333−3−3-22-22-1-1110000001-1-1111-1-13−3−33−333−33−3−33000000000000
χ5722-2-22-2-2-122-2-1-1-11111-2-222110000-1-133−3−3−3−3332-2-2211-1-10000001-1-11-1-111−333−3−333−33−3−33000000000000
χ5822-2-22-2-2-122-2-1-1-11111-2-222110000-1-133−3−3−3−333-222-21111000000-111-1-1-1-1-13−3−33−333−3−333−3000000000000
χ5922-2-22-2-2-122-2-1-1-11111-2-222110000-1-1−3−33333−3−32-2-2211-1-10000001-1-11-1-1113−3−333−3−33−333−3000000000000
χ6022-2-22-2-2-122-2-1-1-11111-2-222110000-1-1−3−33333−3−3-222-21111000000-111-1-1-1-1-1−333−33−3−333−3−33000000000000
χ6122-2-2-22-222-22-2-22-2-22200002-22-22-22-22-22-22-22-20000000000000000000000000000000000002i−2i002i−2i0000
χ6222-2-2-22-222-22-2-22-2-22200002-22-22-22-22-22-22-22-2000000000000000000000000000000000000−2i2i00−2i2i0000
χ6322-2-2-22-222-22-2-22-2-22200002-2-22-222-2-22-22-22-220000000000000000000000000000000000002i−2i00−2i2i0000
χ6422-2-2-22-222-22-2-22-2-22200002-2-22-222-2-22-22-22-22000000000000000000000000000000000000−2i2i002i−2i0000
χ6522-2-2-2-222-222-2-22-2-2220000-222-2-22-222-22-2-22-2200000000000000000000000000000000002i−2i002i−2i000000
χ6622-2-2-2-222-222-2-22-2-2220000-222-2-22-222-22-2-22-220000000000000000000000000000000000−2i2i00−2i2i000000
χ6722-2-2-2-222-222-2-22-2-2220000-22-222-2-22-22-222-22-200000000000000000000000000000000002i−2i00−2i2i000000
χ6822-2-2-2-222-222-2-22-2-2220000-22-222-2-22-22-222-22-20000000000000000000000000000000000−2i2i002i−2i000000
χ694444-44-44-44-4-4-4444-4-400004-40000-44000000000000000000000000000000000000000000000000000000
χ704444-44-4-2-44-422-2-2-2220000-2200002-223−23−232323−23−23230000000000000000000000000000000000000000000000
χ714444-44-4-2-44-422-2-2-2220000-2200002-2−232323−23−232323−230000000000000000000000000000000000000000000000
χ724444-4-4444-4-4-4-4444-4-40000-4400004-4000000000000000000000000000000000000000000000000000000
χ734444-4-44-24-4-422-2-2-22200002-20000-2223−23−2323−232323−230000000000000000000000000000000000000000000000
χ744444-4-44-24-4-422-2-2-22200002-20000-22−232323−2323−23−23230000000000000000000000000000000000000000000000
χ7544-4-4-44-4-24-4422-222-2-20000-224-44-4-22-22-22-22-220000000000000000000000000000000000000000000000
χ7644-4-4-44-4-24-4422-222-2-20000-22-44-44-222-22-22-22-20000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-44422-222-2-200002-24-4-442-2-22-222-22-20000000000000000000000000000000000000000000000
χ7844-4-4-4-44-2-44422-222-2-200002-2-444-42-22-22-2-22-220000000000000000000000000000000000000000000000
χ798-88i−8i000800000-88i−8i00000000000000000000000000000000000000000000000000000000000000000000
χ808-88i−8i000-4000−4i34i34−4i4i43−43000000000000000000000000000000000000000000000000000000000000000000
χ818-88i−8i000-40004i3−4i34−4i4i−4343000000000000000000000000000000000000000000000000000000000000000000
χ828-8−8i8i000800000-8−8i8i00000000000000000000000000000000000000000000000000000000000000000000
χ838-8−8i8i000-4000−4i34i344i−4i−4343000000000000000000000000000000000000000000000000000000000000000000
χ848-8−8i8i000-40004i3−4i344i−4i43−43000000000000000000000000000000000000000000000000000000000000000000

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