Finite Group Databasebeta

← Group #13140065

Character table — Group #13140065

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ911-1-11-11-1111-1-1-11-11-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1
χ1011-1-11-11-1111-1-1-11-11-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1
χ1111-1-11-11-1111-1-1-11-11-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii−i−iii−i−iii-1-111ii−i−iii−i−i-1-111
χ1211-1-11-11-1111-1-1-11-11-111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11−iii−iii−i−iii−i−i-1-111−i−iii−i−iii-1-111
χ1311-1-11-11-1111-1-1-11-1-11-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1ii−i−iii−i−i-11−ii−iiii−i−i−i−iii11-1-1ii−i−i−i−iii-1-111
χ1411-1-11-11-1111-1-1-11-1-11-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1−i−iii−i−iii-11i−ii−i−i−iiiii−i−i11-1-1−i−iiiii−i−i-1-111
χ1511-1-11-11-1111-1-1-11-1-11-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i−i−iiiii−i−i-1-111ii−i−i−i−iii11-1-1
χ1611-1-11-11-1111-1-1-11-1-11-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−iiii−i−i−i−iii-1-111−i−iiiii−i−i11-1-1
χ1722222222222222222222222-122-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000022000000000000-1-1-1-100000000-1-1-1-1
χ1822222222222222222222222-122-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000000000001111000000001111
χ192222222222222222222222-12-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000002200000000000000-1-1-1-1-1-1-1-10000
χ202222222222222222222222-12-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000000000111111110000
χ212222222222222222-2-2-2-2-2-22-122-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111222200000000-2-2000000000000-1-1-1-1000000001111
χ222222222222222222-2-2-2-2-2-22-122-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-20000000022000000000000111100000000-1-1-1-1
χ232222222222222222-2-2-2-2-2-2-12-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-21111111100002222000000-2-200000000000000-1-1-1-111110000
χ242222222222222222-2-2-2-2-2-2-12-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-200000022000000000000001111-1-1-1-10000
χ25222-2-22-2-222-222-2-2-2000000222-222-222-2-2-2-22-2-222-222-2-2-2000000000000000000002-22-200000000000000000000002-22-200000000
χ26222-2-22-2-222-222-2-2-2000000222-222-222-2-2-2-22-2-222-222-2-2-200000000000000000000-22-220000000000000000000000-22-2200000000
χ27222-2-22-2-222-222-2-2-2000000-12-112-1122-2-21-2-11-2-1-11-1-11113−33−3000033−3−333−3−300002-22-20000000000000000000000-11-113−33−30000
χ28222-2-22-2-222-222-2-2-2000000-12-112-1122-2-21-2-11-2-1-11-1-11113−33−3000033−3−333−3−30000-22-2200000000000000000000001-11-1−33−330000
χ29222-2-22-2-222-222-2-2-2000000-12-112-1122-2-21-2-11-2-1-11-1-1111−33−330000−3−333−3−33300002-22-20000000000000000000000-11-11−33−330000
χ30222-2-22-2-222-222-2-2-2000000-12-112-1122-2-21-2-11-2-1-11-1-1111−33−330000−3−333−3−3330000-22-2200000000000000000000001-11-13−33−30000
χ3122-22-2-2-2222-2-2-22-22000000222-22-22-2-222-2-2-22-222-2-2-222-2000000000000000000002i−2i−2i2i00000000000000000000002i−2i−2i2i00000000
χ3222-22-2-2-2222-2-2-22-22000000222-22-22-2-222-2-2-22-222-2-2-222-200000000000000000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i00000000
χ3322-22-2-2-2222-2-2-22-22000000-12-1121-1-2-2221-21-1-2-1-1111-1-113−3−33000033−3−3−3−33300002i−2i−2i2i0000000000000000000000−iii−ii3−i3−i3i30000
χ3422-22-2-2-2222-2-2-22-22000000-12-1121-1-2-2221-21-1-2-1-1111-1-113−3−33000033−3−3−3−3330000−2i2i2i−2i0000000000000000000000i−i−ii−i3i3i3−i30000
χ3522-22-2-2-2222-2-2-22-22000000-12-1121-1-2-2221-21-1-2-1-1111-1-11−333−30000−3−33333−3−300002i−2i−2i2i0000000000000000000000−iii−i−i3i3i3−i30000
χ3622-22-2-2-2222-2-2-22-22000000-12-1121-1-2-2221-21-1-2-1-1111-1-11−333−30000−3−33333−3−30000−2i2i2i−2i0000000000000000000000i−i−iii3−i3−i3i30000
χ3722-2-22-22-2222-2-2-22-22-222-2-22-122-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-1111122-2-2000000002-2000000000000-1-11100000000-1-111
χ3822-2-22-22-2222-2-2-22-22-222-2-22-122-1-2-211112-1-2-2-1-1-1-11111-122-2-2-1-111-1-1-1-11111-2-22200000000-2200000000000011-1-10000000011-1-1
χ3922-2-22-22-2222-2-2-22-22-222-2-2-12-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-1111100002i2i−2i−2i0000002i−2i00000000000000−i−iii−i−iii0000
χ4022-2-22-22-2222-2-2-22-22-222-2-2-12-1-1211-2-2-2-2-12112-1-1-11111-1-1-11122-2-2-1-1-1-111110000−2i−2i2i2i000000−2i2i00000000000000ii−i−iii−i−i0000
χ4122-2-22-22-2222-2-2-22-2-22-2-2222-122-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-122-2-200000000-22000000000000-1-1110000000011-1-1
χ4222-2-22-22-2222-2-2-22-2-22-2-2222-122-1-2-211112-1-2-2-1-1-1-11111-1-2-22211-1-11111-1-1-1-1-2-222000000002-200000000000011-1-100000000-1-111
χ4322-2-22-22-2222-2-2-22-2-22-2-222-12-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-100002i2i−2i−2i000000−2i2i00000000000000−i−iiiii−i−i0000
χ4422-2-22-22-2222-2-2-22-2-22-2-222-12-1-1211-2-2-2-2-12112-1-1-11111-111-1-1-2-2221111-1-1-1-10000−2i−2i2i2i0000002i−2i00000000000000ii−i−i−i−iii0000
χ452-2222-2-2-22-222-22-2-200000022-22-2222-22-2-22-2-2-22-222-22-2-200000000000000002-22-200000000000000000000002-22-2000000000000
χ462-2222-2-2-22-222-22-2-200000022-22-2222-22-2-22-2-2-22-222-22-2-20000000000000000-22-220000000000000000000000-22-22000000000000
χ472-2222-2-2-22-222-22-2-20000002-1-22122-11-11-2-1-2-21-11-1-11-11100003−33−33−33−33−33−32-22-20000000000000000000000-11-11000000003−33−3
χ482-2222-2-2-22-222-22-2-20000002-1-22122-11-11-2-1-2-21-11-1-11-11100003−33−33−33−33−33−3-22-2200000000000000000000001-11-100000000−33−33
χ492-2222-2-2-22-222-22-2-20000002-1-22122-11-11-2-1-2-21-11-1-11-1110000−33−33−33−33−33−332-22-20000000000000000000000-11-1100000000−33−33
χ502-2222-2-2-22-222-22-2-20000002-1-22122-11-11-2-1-2-21-11-1-11-1110000−33−33−33−33−33−33-22-2200000000000000000000001-11-1000000003−33−3
χ512-22-2-2-2222-2-22-2-22200000022-2-2-22-22-2-222-2-2222-2-22-2-2220000000000000000000000002-22-20000002-22-200000000000000000000
χ522-22-2-2-2222-2-22-2-22200000022-2-2-22-22-2-222-2-2222-2-22-2-222000000000000000000000000-22-22000000-22-2200000000000000000000
χ532-2-22-222-22-2-2-2222-200000022-2-2-2-22-222-22-22-222-2-2-222-220000000000000000000000002i−2i−2i2i0000002i−2i−2i2i00000000000000000000
χ542-2-22-222-22-2-2-2222-200000022-2-2-2-22-222-22-22-222-2-2-222-22000000000000000000000000−2i2i2i−2i000000−2i2i2i−2i00000000000000000000
χ552-2-2-222-222-22-22-2-2200000022-22-2-2-2-22-22-2222-22-22-22-22-200000000000000002-2-2200000000000000000000002-2-22000000000000
χ562-2-2-222-222-22-22-2-2200000022-22-2-2-2-22-22-2222-22-22-22-22-20000000000000000-222-20000000000000000000000-222-2000000000000
χ572-2-2-222-222-22-22-2-220000002-1-221-2-21-11-1-2-1221-11-11-11-1100003−3−333−33−3−33−332-2-220000000000000000000000-111-1000000003−3−33
χ582-2-2-222-222-22-22-2-220000002-1-221-2-21-11-1-2-1221-11-11-11-1100003−3−333−33−3−33−33-222-200000000000000000000001-1-1100000000−333−3
χ592-2-2-222-222-22-22-2-220000002-1-221-2-21-11-1-2-1221-11-11-11-110000−333−3−33−333−33−32-2-220000000000000000000000-111-100000000−333−3
χ602-2-2-222-222-22-22-2-220000002-1-221-2-21-11-1-2-1221-11-11-11-110000−333−3−33−333−33−3-222-200000000000000000000001-1-11000000003−3−33
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
χ63444-4-44-4-444-444-4-4-40000004-24-4-24-4-2-222-424-42-2-22-2-22220000000000000000000000000000000000000000000000000000000000
χ64444-4-44-4-444-444-4-4-4000000-2-2-22-2-22-2-22222-22211-111-1-1-123−2323−230000−3−333−3−333000000000000000000000000000000000000000000
χ65444-4-44-4-444-444-4-4-4000000-2-2-22-2-22-2-22222-22211-111-1-1-1−2323−2323000033−3−333−3−3000000000000000000000000000000000000000000
χ6644-44-4-4-4444-4-4-44-440000004-24-4-2-4422-2-2-42-442-2-2222-2-220000000000000000000000000000000000000000000000000000000000
χ6744-44-4-4-4444-4-4-44-44000000-2-2-22-22-222-2-2222-2211-1-1-111-123−23−23230000−3−33333−3−3000000000000000000000000000000000000000000
χ6844-44-4-4-4444-4-4-44-44000000-2-2-22-22-222-2-2222-2211-1-1-111-1−232323−23000033−3−3−3−333000000000000000000000000000000000000000000
χ6944-4-44-44-4444-4-4-44-44-444-4-4-2-2-2-2-2222222-2-222-2111-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000000000000000000000
χ7044-4-44-44-4444-4-4-44-4-44-4-444-2-2-2-2-2222222-2-222-2111-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ714-4444-4-4-44-444-44-4-4000000-242-2-4-2-24-44-42422-4-22-2-22-2220000000000000000000000000000000000000000000000000000000000
χ724-4444-4-4-44-444-44-4-4000000-2-22-22-2-2-22-222-22221-111-11-1-1000023−2323−23−33−33−33−33000000000000000000000000000000000000000000
χ734-4444-4-4-44-444-44-4-4000000-2-22-22-2-2-22-222-22221-111-11-1-10000−2323−23233−33−33−33−3000000000000000000000000000000000000000000
χ744-44-4-4-4444-4-44-4-4440000004-2-4-424-4-222-242-44-2-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ754-44-4-4-4444-4-44-4-444000000-2422-4-224-4-44-2-42-24-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ764-44-4-4-4444-4-44-4-444000000-2-2222-22-222-2-222-2-21-1-11-1-111000000003-3-333-3-33000000000000000000000000000000000000000000
χ774-44-4-4-4444-4-44-4-444000000-2-2222-22-222-2-222-2-21-1-11-1-11100000000-333-3-333-3000000000000000000000000000000000000000000
χ784-4-44-444-44-4-4-4444-40000004-2-4-42-442-2-22424-4-2-2222-2-22-20000000000000000000000000000000000000000000000000000000000
χ794-4-44-444-44-4-4-4444-4000000-2422-42-2-444-4-2-4-224-2222-2-22-20000000000000000000000000000000000000000000000000000000000
χ804-4-44-444-44-4-4-4444-4000000-2-22222-22-2-22-22-22-21-1-1-111-11000000003-3-33-333-3000000000000000000000000000000000000000000
χ814-4-44-444-44-4-4-4444-4000000-2-22222-22-2-22-22-22-21-1-1-111-1100000000-333-33-3-33000000000000000000000000000000000000000000
χ824-4-4-444-444-44-44-4-44000000-242-2-422-44-4424-2-2-4-22-22-22-220000000000000000000000000000000000000000000000000000000000
χ834-4-4-444-444-44-44-4-44000000-2-22-22222-22-22-2-2-221-11-11-11-1000023−23−2323−33−333−33−3000000000000000000000000000000000000000000
χ844-4-4-444-444-44-44-4-44000000-2-22-22222-22-22-2-2-221-11-11-11-10000−232323−233−33−3−33−33000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000000000002222000022-1-1-1-1-1-1-1-10000000000000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000000000-2-2-2-20000-2-2111111110000000000000000
χ8766666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000000022220000-2-2-1-1-1-111110000000000000000
χ8866666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000000000-2-2-2-20000221111-1-1-1-10000000000000000
χ8966-6-66-66-6-3-3-3333-336-6-3-3330000000000000000000000000000000000000000000000002i2i−2i−2i00002i−2i−i−iii−i−iii0000000000000000
χ9066-6-66-66-6-3-3-3333-336-6-3-333000000000000000000000000000000000000000000000000−2i−2i2i2i0000−2i2iii−i−iii−i−i0000000000000000
χ9166-6-66-66-6-3-3-3333-33-6633-3-30000000000000000000000000000000000000000000000002i2i−2i−2i0000−2i2i−i−iiiii−i−i0000000000000000
χ9266-6-66-66-6-3-3-3333-33-6633-3-3000000000000000000000000000000000000000000000000−2i−2i2i2i00002i−2iii−i−i−i−iii0000000000000000
χ936-66-6-6-666-333-333-3-300−3i33i3−3i33i30000000000000000000000000000000000000000000000002-22-2000000-11-11−i3i3−i3i30000000000000000
χ946-66-6-6-666-333-333-3-300−3i33i3−3i33i3000000000000000000000000000000000000000000000000-22-220000001-11-1i3−i3i3−i30000000000000000
χ956-66-6-6-666-333-333-3-3003i3−3i33i3−3i30000000000000000000000000000000000000000000000002-22-2000000-11-11i3−i3i3−i30000000000000000
χ966-66-6-6-666-333-333-3-3003i3−3i33i3−3i3000000000000000000000000000000000000000000000000-22-220000001-11-1−i3i3−i3i30000000000000000
χ976-6-66-666-6-3333-3-3-3300−3i33i33i3−3i30000000000000000000000000000000000000000000000002i−2i−2i2i000000−iii−i3−3−330000000000000000
χ986-6-66-666-6-3333-3-3-3300−3i33i33i3−3i3000000000000000000000000000000000000000000000000−2i2i2i−2i000000i−i−ii−333−30000000000000000
χ996-6-66-666-6-3333-3-3-33003i3−3i3−3i33i30000000000000000000000000000000000000000000000002i−2i−2i2i000000−iii−i−333−30000000000000000
χ1006-6-66-666-6-3333-3-3-33003i3−3i3−3i33i3000000000000000000000000000000000000000000000000−2i2i2i−2i000000i−i−ii3−3−330000000000000000
χ101121212-12-1212-12-12-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-1212-12-12-1212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12121212-12-12-12-66-6-66-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-121212-1212-66-66-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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