Finite Group Databasebeta

← Group #13140268

Character table — Group #13140268

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212222222222222444444666666666666121212121212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1i−ii−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111i−i−ii−ii11-1-1-1-111-1-111ii−i−i−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−iii−i−ii-1-11111-1-1-1-111−i−iiiii−i−i−i−iii
χ121111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1−ii−iii−i-1-111-1-11111-1-1−i−iii−i−iiiii−i−i
χ131111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−ii−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii
χ141111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111−iii−ii−i11-1-1-1-111-1-111−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111i−i−iii−i-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i
χ161111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1i−ii−i−ii-1-111-1-11111-1-1ii−i−iii−i−i−i−iii
χ1722222222222222222222222-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000222200002200000000-1-1-1-100000000-1-1-1-1
χ1822222222222222222222222-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000001111000000001111
χ192222222222222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000022000000-1-1-1-100000000-1-1-1-10000
χ202222222222222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000011110000000011110000
χ212222222222222222-2-2-2-2-2-22-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000022220000-2-200000000-1-1-1-1000000001111
χ222222222222222222-2-2-2-2-2-22-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000-2-2-2-200002200000000111100000000-1-1-1-1
χ232222222222222222-2-2-2-2-2-2-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-21111111100002222000000-2-2000000-1-1-1-10000000011110000
χ242222222222222222-2-2-2-2-2-2-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-200000022000000111100000000-1-1-1-10000
χ252222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-1222-1-1-1-2-211-21-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000000022-2-200002i−2i00000000-1-11100000000−i−iii
χ262222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-1222-1-1-1-2-211-21-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00000000-2-2220000−2i2i0000000011-1-100000000ii−i−i
χ272222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-1-122211-2-21-21-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii000022-2-20000002i−2i000000-1-11100000000−i−iii0000
χ282222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-1-122211-2-21-21-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii0000-2-222000000−2i2i00000011-1-100000000ii−i−i0000
χ292222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-1222-1-1-1-2-211-21-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0000000022-2-20000−2i2i00000000-1-11100000000ii−i−i
χ302222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-1222-1-1-1-2-211-21-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000-2-22200002i−2i0000000011-1-100000000−i−iii
χ312222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-1-122211-2-21-21-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i000022-2-2000000−2i2i000000-1-11100000000ii−i−i0000
χ322222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-1-122211-2-21-21-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i0000-2-2220000002i−2i00000011-1-100000000−i−iii0000
χ3322-2-222-2-222-2-22-22-2000000222-2-22-2-22-2-2-222-2222-2-22-2-220000000000000000000000002-22-2000000000000002-22-2000000000000
χ3422-2-222-2-222-2-22-22-2000000222-2-22-2-22-2-2-222-2222-2-22-2-22000000000000000000000000-22-2200000000000000-22-22000000000000
χ3522-2-222-2-222-2-22-22-20000002-12-2-2-1112-2112-1-2-1-1-111-111-100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3000000002-22-200000000000000-11-1100000000−i3i3−i3i3
χ3622-2-222-2-222-2-22-22-20000002-12-2-2-1112-2112-1-2-1-1-111-111-100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i300000000-22-22000000000000001-11-100000000i3−i3i3−i3
χ3722-2-222-2-222-2-22-22-20000002-12-2-2-1112-2112-1-2-1-1-111-111-100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3000000002-22-200000000000000-11-1100000000i3−i3i3−i3
χ3822-2-222-2-222-2-22-22-20000002-12-2-2-1112-2112-1-2-1-1-111-111-100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i300000000-22-22000000000000001-11-100000000−i3i3−i3i3
χ3922-2-2-2-22222-2-2-22-22000000222-2-22-2-2-2222-2-22-222-2-2-222-20000000000000000000000002-2-22000000000000002-2-22000000000000
χ4022-2-2-2-22222-2-2-22-22000000222-2-22-2-2-2222-2-22-222-2-2-222-2000000000000000000000000-222-200000000000000-222-2000000000000
χ4122-2-2-2-22222-2-2-22-220000002-12-2-2-111-22-1-1-2121-1-1111-1-11003−300−3333−3−3−3−333000000002-2-2200000000000000-111-1000000003−3−33
χ4222-2-2-2-22222-2-2-22-220000002-12-2-2-111-22-1-1-2121-1-1111-1-11003−300−3333−3−3−3−33300000000-222-2000000000000001-1-1100000000−333−3
χ4322-2-2-2-22222-2-2-22-220000002-12-2-2-111-22-1-1-2121-1-1111-1-1100−33003−3−3−33333−3−3000000002-2-2200000000000000-111-100000000−333−3
χ4422-2-2-2-22222-2-2-22-220000002-12-2-2-111-22-1-1-2121-1-1111-1-1100−33003−3−3−33333−3−300000000-222-2000000000000001-1-11000000003−3−33
χ452-22-22-22-22-22-2-222-200000022-22-2-22-2-2-22-2222-22-22-2-22-22000000000000000000002-22-2000000000000002-22-20000000000000000
χ462-22-22-22-22-22-2-222-200000022-22-2-22-2-2-22-2222-22-22-2-22-2200000000000000000000-22-2200000000000000-22-220000000000000000
χ472-22-22-22-22-22-2-222-2000000-121-11-22-2112-2-12-1-2-11-111-11-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i300002-22-200000000000000-11-1100000000−i3i3−i3i30000
χ482-22-22-22-22-22-2-222-2000000-121-11-22-2112-2-12-1-2-11-111-11-1−i3i300−i3i300−i3i3−i3i3−i3i3−i3i30000-22-22000000000000001-11-100000000i3−i3i3−i30000
χ492-22-22-22-22-22-2-222-2000000-121-11-22-2112-2-12-1-2-11-111-11-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i300002-22-200000000000000-11-1100000000i3−i3i3−i30000
χ502-22-22-22-22-22-2-222-2000000-121-11-22-2112-2-12-1-2-11-111-11-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i30000-22-22000000000000001-11-100000000−i3i3−i3i30000
χ512-22-2-22-222-22-22-2-2200000022-22-2-22-222-22-2-2-222-22-22-22-2000000000000000000002-2-22000000000000002-2-220000000000000000
χ522-22-2-22-222-22-22-2-2200000022-22-2-22-222-22-2-2-222-22-22-22-200000000000000000000-222-200000000000000-222-20000000000000000
χ532-22-2-22-222-22-22-2-22000000-121-11-22-2-1-1-221-212-11-11-11-113−300−33003−33−3−33−3300002-2-2200000000000000-111-1000000003−3−330000
χ542-22-2-22-222-22-22-2-22000000-121-11-22-2-1-1-221-212-11-11-11-113−300−33003−33−3−33−330000-222-2000000000000001-1-1100000000−333−30000
χ552-22-2-22-222-22-22-2-22000000-121-11-22-2-1-1-221-212-11-11-11-11−33003−300−33−333−33−300002-2-2200000000000000-111-100000000−333−30000
χ562-22-2-22-222-22-22-2-22000000-121-11-22-2-1-1-221-212-11-11-11-11−33003−300−33−333−33−30000-222-2000000000000001-1-11000000003−3−330000
χ572-2-222-2-222-2-22-2-22200000022-2-22-2-22-22-2222-2-22-2-22-2-22200000000000000002-22-2000000000000002-22-200000000000000000000
χ582-2-222-2-222-2-22-2-22200000022-2-22-2-22-22-2222-2-22-2-22-2-2220000000000000000-22-2200000000000000-22-2200000000000000000000
χ592-2-22-222-22-2-2222-2-200000022-2-22-2-222-22-2-2-2222-2-2222-2-200000000000000002-2-22000000000000002-2-2200000000000000000000
χ602-2-22-222-22-2-2222-2-200000022-2-22-2-222-22-2-2-2222-2-2222-2-20000000000000000-222-200000000000000-222-200000000000000000000
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
χ634444-4-4-4-44444-4-4-4-44i−4i4i4i−4i−4i-2-2-2-2-2-2-2-2222222221111-1-1-1-1−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ644444-4-4-4-44444-4-4-4-4−4i4i−4i−4i4i4i-2-2-2-2-2-2-2-2222222221111-1-1-1-12i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ6544-4-444-4-444-4-44-44-4000000-24-2224-4-4-22-4-4-2424-2-222-222-20000000000000000000000000000000000000000000000000000000000
χ6644-4-444-4-444-4-44-44-4000000-2-2-222-222-2222-2-22-211-1-11-1-1100−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ6744-4-444-4-444-4-44-44-4000000-2-2-222-222-2222-2-22-211-1-11-1-11002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ6844-4-4-4-44444-4-4-44-44000000-24-2224-4-42-2442-4-2-4-2-2222-2-220000000000000000000000000000000000000000000000000000000000
χ6944-4-4-4-44444-4-4-44-44000000-2-2-222-2222-2-2-222-2211-1-1-111-10023−2300−2323−3−33333−3−3000000000000000000000000000000000000000000
χ7044-4-4-4-44444-4-4-44-44000000-2-2-222-2222-2-2-222-2211-1-1-111-100−23230023−2333−3−3−3−333000000000000000000000000000000000000000000
χ714-44-44-44-44-44-4-444-40000004-2-44-42-22-4-4-224-242-22-222-22-20000000000000000000000000000000000000000000000000000000000
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χ734-44-44-44-44-44-4-444-4000000-2-22-222-2222-22-2-2-221-11-1-11-112i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
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χ754-44-4-44-444-44-44-4-44000000-2-22-222-22-2-22-2222-21-11-11-11-123−2300−232300−33−333−33−3000000000000000000000000000000000000000000
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χ774-4-444-4-444-4-44-4-4440000004-2-4-4422-2-442-24-2-42-222-222-2-20000000000000000000000000000000000000000000000000000000000
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χ804-4-444-4-444-4-44-4-444000000-2-222-222-22-22-2-2-2221-1-11-1-11100000000-333-3-333-3000000000000000000000000000000000000000000
χ814-4-44-444-44-4-4444-4-40000004-2-4-4422-24-4-22-424-2-222-2-2-2220000000000000000000000000000000000000000000000000000000000
χ824-4-44-444-44-4-4444-4-4000000-2422-2-4-44-224-42-4-24-222-2-2-2220000000000000000000000000000000000000000000000000000000000
χ834-4-44-444-44-4-4444-4-4000000-2-222-222-2-22-2222-2-21-1-1111-1-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ844-4-44-444-44-4-4444-4-4000000-2-222-222-2-22-2222-2-21-1-1111-1-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000222200000000220000-1-1-1-100000000-1-1-1-100000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000-2-2-2-200000000-2-20000111100000000111100000000
χ8766666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000222200000000-2-20000-1-1-1-100000000111100000000
χ8866666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000-2-2-2-200000000220000111100000000-1-1-1-100000000
χ896666-6-6-6-6-3-3-3-333336i−6i−3i−3i3i3i000000000000000000000000000000000000000022-2-2000000002i−2i0000-1-11100000000−i−iii00000000
χ906666-6-6-6-6-3-3-3-333336i−6i−3i−3i3i3i0000000000000000000000000000000000000000-2-22200000000−2i2i000011-1-100000000ii−i−i00000000
χ916666-6-6-6-6-3-3-3-33333−6i6i3i3i−3i−3i000000000000000000000000000000000000000022-2-200000000−2i2i0000-1-11100000000ii−i−i00000000
χ926666-6-6-6-6-3-3-3-33333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000-2-222000000002i−2i000011-1-100000000−i−iii00000000
χ936-6-666-6-66-333-333-3-300−3i33i3−3i33i300000000000000000000000000000000000000002-22-200000000000000-11-1100000000−i3i3−i3i300000000
χ946-6-666-6-66-333-333-3-300−3i33i3−3i33i30000000000000000000000000000000000000000-22-22000000000000001-11-100000000i3−i3i3−i300000000
χ956-6-666-6-66-333-333-3-3003i3−3i33i3−3i300000000000000000000000000000000000000002-22-200000000000000-11-1100000000i3−i3i3−i300000000
χ966-6-666-6-66-333-333-3-3003i3−3i33i3−3i30000000000000000000000000000000000000000-22-22000000000000001-11-100000000−i3i3−i3i300000000
χ976-6-66-666-6-333-3-3-3330033−33−333300000000000000000000000000000000000000002-2-2200000000000000-111-1000000003−3−3300000000
χ986-6-66-666-6-333-3-3-3330033−33−33330000000000000000000000000000000000000000-222-2000000000000001-1-1100000000−333−300000000
χ996-6-66-666-6-333-3-3-33300−333333−3300000000000000000000000000000000000000002-2-2200000000000000-111-100000000−333−300000000
χ1006-6-66-666-6-333-3-3-33300−333333−330000000000000000000000000000000000000000-222-2000000000000001-1-11000000003−3−3300000000
χ1011212-12-121212-12-12-6-666-66-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-12-121212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-1212-1212-12-66-666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-1212-12-1212-1212-66-66-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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