Finite Group Databasebeta

← Group #13140067

Character table — Group #13140067

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order122222223666666644121212123366666666666666366666661212121212121212121212121212121244444444444422444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911-111-1-1-1111-1-1-11-11-111-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ1011-111-1-1-1111-1-1-11-11-111-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ1111-111-1-1-1111-1-1-11-11-111-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii-1-111−i−iii−i−iii-1-111ii−i−iii−i−i
χ1211-111-1-1-1111-1-1-11-11-111-1-11111-1-11-1-1-1-111-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i-1-111ii−i−iii−i−i-1-111−i−iii−i−iii
χ1311-111-1-1-1111-1-1-11-1-11-1-1111111-1-11-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i-11−ii−ii-1-111ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ1411-111-1-1-1111-1-1-11-1-11-1-1111111-1-11-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii-11i−ii−i-1-111−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ1511-111-1-1-1111-1-1-11-1-11-1-1111111-1-11-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i11-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii
χ1611-111-1-1-1111-1-1-11-1-11-1-1111111-1-11-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii11-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i
χ1722222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222200000000220000-1-1-1-100000000-1-1-1-100000000
χ1822222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111100000000111100000000
χ192222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000022000000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111222200000000-2-20000111100000000-1-1-1-100000000
χ222222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111-2-2-2-200000000220000-1-1-1-100000000111100000000
χ232222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-21111111100002222000000-2-2000000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-2000000220000000000000000001111-1-1-1-1
χ25222-2-2-2-2222-22-2-2-22000000222-222222-2-2-2-2-2-2-222-222-2-2-200000000000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
χ26222-2-2-2-2222-22-2-2-22000000222-222222-2-2-2-2-2-2-222-222-2-2-20000000000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i00000000
χ27222-2-2-2-2222-22-2-2-220000002-12-222-1-1-111-21-2-21-1-11-1-1111003−3003−333−3−333−3−32i−2i2i−2i00000000000000−i3i3−i3i300000000−ii−ii00000000
χ28222-2-2-2-2222-22-2-2-220000002-12-222-1-1-111-21-2-21-1-11-1-1111003−3003−333−3−333−3−3−2i2i−2i2i00000000000000i3−i3i3−i300000000i−ii−i00000000
χ29222-2-2-2-2222-22-2-2-220000002-12-222-1-1-111-21-2-21-1-11-1-111100−3300−33−3−333−3−3332i−2i2i−2i00000000000000i3−i3i3−i300000000−ii−ii00000000
χ30222-2-2-2-2222-22-2-2-220000002-12-222-1-1-111-21-2-21-1-11-1-111100−3300−33−3−333−3−333−2i2i−2i2i00000000000000−i3i3−i3i300000000i−ii−i00000000
χ3122-222-2-2-2222-2-2-22-22-222-2-22-122-2-2-111112-1-2-2-1-1-1-11111-122-1-1-2-211-1-1-1-1111122-2-2000000002-20000-1-11100000000-1-11100000000
χ3222-222-2-2-2222-2-2-22-22-222-2-22-122-2-2-111112-1-2-2-1-1-1-11111-122-1-1-2-211-1-1-1-11111-2-22200000000-22000011-1-10000000011-1-100000000
χ3322-222-2-2-2222-2-2-22-22-222-2-2-12-1-1112-2-2-2-2-12112-1-1-11111-1-1-12211-2-2-1-1-1-1111100002i2i−2i−2i0000002i−2i000000000000000000−i−iii−i−iii
χ3422-222-2-2-2222-2-2-22-22-222-2-2-12-1-1112-2-2-2-2-12112-1-1-11111-1-1-12211-2-2-1-1-1-111110000−2i−2i2i2i000000−2i2i000000000000000000ii−i−iii−i−i
χ3522-222-2-2-2222-2-2-22-2-22-2-2222-122-2-2-111112-1-2-2-1-1-1-11111-1-2-21122-1-11111-1-1-1-122-2-200000000-22000011-1-100000000-1-11100000000
χ3622-222-2-2-2222-2-2-22-2-22-2-2222-122-2-2-111112-1-2-2-1-1-1-11111-1-2-21122-1-11111-1-1-1-1-2-222000000002-20000-1-1110000000011-1-100000000
χ3722-222-2-2-2222-2-2-22-2-22-2-222-12-1-1112-2-2-2-2-12112-1-1-11111-111-2-2-1-1221111-1-1-1-100002i2i−2i−2i000000−2i2i000000000000000000−i−iiiii−i−i
χ3822-222-2-2-2222-2-2-22-2-22-2-222-12-1-1112-2-2-2-2-12112-1-1-11111-111-2-2-1-1221111-1-1-1-10000−2i−2i2i2i0000002i−2i000000000000000000ii−i−i−i−iii
χ3922-2-2-222-222-2-222-2-2000000222-2-2-22-2-222-2-222-222-2-2-222-200000000000000002i−2i−2i2i000000000000000000000000002i−2i−2i2i00000000
χ4022-2-2-222-222-2-222-2-2000000222-2-2-22-2-222-2-222-222-2-2-222-20000000000000000−2i2i2i−2i00000000000000000000000000−2i2i2i−2i00000000
χ4122-2-2-222-222-2-222-2-20000002-12-2-2-2-111-1-1-21221-1-1111-1-11003−300−3333−3−3−3−3332i−2i−2i2i00000000000000−i3i3i3−i300000000−iii−i00000000
χ4222-2-2-222-222-2-222-2-20000002-12-2-2-2-111-1-1-21221-1-1111-1-11003−300−3333−3−3−3−333−2i2i2i−2i00000000000000i3−i3−i3i300000000i−i−ii00000000
χ4322-2-2-222-222-2-222-2-20000002-12-2-2-2-111-1-1-21221-1-1111-1-1100−33003−3−3−33333−3−32i−2i−2i2i00000000000000i3−i3−i3i300000000−iii−i00000000
χ4422-2-2-222-222-2-222-2-20000002-12-2-2-2-111-1-1-21221-1-1111-1-1100−33003−3−3−33333−3−3−2i2i2i−2i00000000000000−i3i3i3−i300000000i−i−ii00000000
χ452-222-22-2-22-2-222-22-200000022-2-22-2-22-22-2222-2-22-2-22-22-220000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i0000000000000000
χ462-222-22-2-22-2-222-22-200000022-2-22-2-22-22-2222-2-22-2-22-22-22000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i0000000000000000
χ472-22-22-22-22-222-22-2-200000022-222-2-22-2-22-2-2-2222-222-2-22-2000000000000000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i0000
χ482-22-22-22-22-222-22-2-200000022-222-2-22-2-22-2-2-2222-222-2-22-200000000000000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i0000
χ492-22-22-22-22-222-22-2-2000000-121-1-11-22-2-221-21-12-11-1-111-113−3003−3003−33−33−33−300002i−2i2i−2i00000000000000000000000000−ii−ii−i3i3−i3i3
χ502-22-22-22-22-222-22-2-2000000-121-1-11-22-2-221-21-12-11-1-111-113−3003−3003−33−33−33−30000−2i2i−2i2i00000000000000000000000000i−ii−ii3−i3i3−i3
χ512-22-22-22-22-222-22-2-2000000-121-1-11-22-2-221-21-12-11-1-111-11−3300−3300−33−33−33−3300002i−2i2i−2i00000000000000000000000000−ii−iii3−i3i3−i3
χ522-22-22-22-22-222-22-2-2000000-121-1-11-22-2-221-21-12-11-1-111-11−3300−3300−33−33−33−330000−2i2i−2i2i00000000000000000000000000i−ii−i−i3i3−i3i3
χ532-2-22-2-2222-2-2-2-222200000022-2-2-22-2-22-2222-22-22-2-2-22-2220000000000000000000000002-2-2200000000002-2-220000000000000000
χ542-2-22-2-2222-2-2-2-222200000022-2-2-22-2-22-2222-22-22-2-2-22-222000000000000000000000000-222-20000000000-222-20000000000000000
χ552-2-2-222-222-22-22-2-2200000022-22-22-2-222-2-2-22-222-22-222-2-2000000000000000000002-2-22000000000000000000000000002-2-220000
χ562-2-2-222-222-22-22-2-2200000022-22-22-2-222-2-2-22-222-22-222-2-200000000000000000000-222-200000000000000000000000000-222-20000
χ572-2-2-222-222-22-22-2-22000000-121-11-1-2-222-21-2-112-11-11-1-1113−300−33003−33−3−33−3300002-2-2200000000000000000000000000-111-1−333−3
χ582-2-2-222-222-22-22-2-22000000-121-11-1-2-222-21-2-112-11-11-1-1113−300−33003−33−3−33−330000-222-2000000000000000000000000001-1-113−3−33
χ592-2-2-222-222-22-22-2-22000000-121-11-1-2-222-21-2-112-11-11-1-111−33003−300−33−333−33−300002-2-2200000000000000000000000000-111-13−3−33
χ602-2-2-222-222-22-22-2-22000000-121-11-1-2-222-21-2-112-11-11-1-111−33003−300−33−333−33−30000-222-2000000000000000000000000001-1-11−333−3
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ63444-4-4-4-4444-44-4-4-44000000-24-22-2-2444-4-42-422-4-2-22-2-22220000000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-4444-44-4-4-44000000-2-2-22-2-2-2-2-2222222211-111-1-1-10023−230023−23−3−333−3−333000000000000000000000000000000000000000000
χ65444-4-4-4-4444-44-4-4-44000000-2-2-22-2-2-2-2-2222222211-111-1-1-100−232300−232333−3−333−3−3000000000000000000000000000000000000000000
χ6644-444-4-4-4444-4-4-44-44-444-4-4-2-2-2-222-22222-2-222-2111-1-1-1-11-2-2-2-222221111-1-1-1-1000000000000000000000000000000000000000000
χ6744-444-4-4-4444-4-4-44-4-44-4-444-2-2-2-222-22222-2-222-2111-1-1-1-112222-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ6844-4-4-444-444-4-444-4-4000000-24-22224-4-4442-4-2-2-4-2-2222-2-220000000000000000000000000000000000000000000000000000000000
χ6944-4-4-444-444-4-444-4-4000000-2-2-2222-222-2-222-2-2211-1-1-111-10023−2300−2323−3−33333−3−3000000000000000000000000000000000000000000
χ7044-4-4-444-444-4-444-4-4000000-2-2-2222-222-2-222-2-2211-1-1-111-100−23230023−2333−3−3−3−333000000000000000000000000000000000000000000
χ714-444-44-4-44-4-444-44-40000004-2-4-44-42-22-224-24-42-222-22-22-20000000000000000000000000000000000000000000000000000000000
χ724-444-44-4-44-4-444-44-4000000-2422-22-44-44-4-24-22-4-222-22-22-20000000000000000000000000000000000000000000000000000000000
χ734-444-44-4-44-4-444-44-4000000-2-222-222-22-22-2-2-2221-1-11-11-11000000003-3-333-3-33000000000000000000000000000000000000000000
χ744-444-44-4-44-4-444-44-4000000-2-222-222-22-22-2-2-2221-1-11-11-1100000000-333-3-333-3000000000000000000000000000000000000000000
χ754-44-44-44-44-444-44-4-40000004-2-444-42-222-2-42-44-2-22-2-222-220000000000000000000000000000000000000000000000000000000000
χ764-44-44-44-44-444-44-4-4000000-2-22-2-222-222-2222-2-21-111-1-11-123−230023−2300−33−33−33−33000000000000000000000000000000000000000000
χ774-44-44-44-44-444-44-4-4000000-2-22-2-222-222-2222-2-21-111-1-11-1−232300−2323003−33−33−33−3000000000000000000000000000000000000000000
χ784-4-44-4-4444-4-4-4-44440000004-2-4-4-4422-22-24-2-442-2222-22-2-20000000000000000000000000000000000000000000000000000000000
χ794-4-44-4-4444-4-4-4-4444000000-24222-2-4-44-44-242-2-4-2222-22-2-20000000000000000000000000000000000000000000000000000000000
χ804-4-44-4-4444-4-4-4-4444000000-2-2222-222-22-2-2-22-221-1-1-11-111000000003-3-33-333-3000000000000000000000000000000000000000000
χ814-4-44-4-4444-4-4-4-4444000000-2-2222-222-22-2-2-22-221-1-1-11-11100000000-333-33-3-33000000000000000000000000000000000000000000
χ824-4-4-444-444-44-44-4-440000004-2-44-4422-2-22-424-4-2-22-22-2-2220000000000000000000000000000000000000000000000000000000000
χ834-4-4-444-444-44-44-4-44000000-2-22-22-222-2-2222-22-21-11-111-1-123−2300−232300−33−333−33−3000000000000000000000000000000000000000000
χ844-4-4-444-444-44-44-4-44000000-2-22-22-222-2-2222-22-21-11-111-1-1−23230023−23003−33−3−33−33000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000000000000000022220000220000-1-1-1-1-1-1-1-1000000000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000000000-2-2-2-20000-2-2000011111111000000000000
χ8766666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000000022220000-2-20000-1-1-1-11111000000000000
χ8866666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000000000-2-2-2-200002200001111-1-1-1-1000000000000
χ8966-666-6-6-6-3-3-3333-336-6-3-3330000000000000000000000000000000000000000000000002i2i−2i−2i00002i−2i0000−i−iii−i−iii000000000000
χ9066-666-6-6-6-3-3-3333-336-6-3-333000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i2i0000ii−i−iii−i−i000000000000
χ9166-666-6-6-6-3-3-3333-33-6633-3-30000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i0000−i−iiiii−i−i000000000000
χ9266-666-6-6-6-3-3-3333-33-6633-3-3000000000000000000000000000000000000000000000000−2i−2i2i2i00002i−2i0000ii−i−i−i−iii000000000000
χ936-666-66-6-6-333-3-33-3300−3i33i3−3i33i30000000000000000000000000000000000000000000000002i−2i2i−2i0000000000−ii−ii3−33−3000000000000
χ946-666-66-6-6-333-3-33-3300−3i33i3−3i33i3000000000000000000000000000000000000000000000000−2i2i−2i2i0000000000i−ii−i−33−33000000000000
χ956-666-66-6-6-333-3-33-33003i3−3i33i3−3i30000000000000000000000000000000000000000000000002i−2i2i−2i0000000000−ii−ii−33−33000000000000
χ966-666-66-6-6-333-3-33-33003i3−3i33i3−3i3000000000000000000000000000000000000000000000000−2i2i−2i2i0000000000i−ii−i3−33−3000000000000
χ976-6-66-6-666-33333-3-3-300−3i33i33i3−3i30000000000000000000000000000000000000000000000002-2-220000000000-111-1−i3i3i3−i3000000000000
χ986-6-66-6-666-33333-3-3-300−3i33i33i3−3i3000000000000000000000000000000000000000000000000-222-200000000001-1-11i3−i3−i3i3000000000000
χ996-6-66-6-666-33333-3-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000000000002-2-220000000000-111-1i3−i3−i3i3000000000000
χ1006-6-66-6-666-33333-3-3-3003i3−3i3−3i33i3000000000000000000000000000000000000000000000000-222-200000000001-1-11−i3i3i3−i3000000000000
χ101121212-12-12-12-1212-6-66-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-121212-12-6-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-1212-1212-12-66-6-66-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-121212-1212-66-66-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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