Finite Group Databasebeta

← Group #13141160

Character table — Group #13141160

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order12222222366666662266663366666666666666366666666666666666666666444444444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-111-1-1-11111-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-111-1-1-11111-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1111-111-1-1-11111-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11−iii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1211-111-1-1-11111-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-111-1-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-11−ii−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ1411-111-1-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-11i−ii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ1511-111-1-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ1611-111-1-1-11111-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ1722222222222222222222222-1222-122-1-1-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022000000000000-1-1-1-1-1-1-1-100000000
χ1822222222222222222222222-1222-122-1-1-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000000000001111111100000000
χ192222222222222222222222-12-1-1-12-1-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220022000000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-12-1-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200-2-200000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-1222-122-1-1-1-1-1-122-1-2-211-2-211-1-1-1-1-1-1-111111111222200000000-2-2000000000000-1-1-1-1111100000000
χ222222222222222222-2-2-2-2-2-22-1222-122-1-1-1-1-1-122-1-2-211-2-211-1-1-1-1-1-1-111111111-2-2-2-200000000220000000000001111-1-1-1-100000000
χ232222222222222222-2-2-2-2-2-2-12-1-1-12-1-1222222-1-1-111-2-211-2-2-1-1-1-1-1-1-11111111100000000222200-2-2000000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-1-12-1-1222222-1-1-111-2-211-2-2-1-1-1-1-1-1-11111111100000000-2-2-2-200220000000000000000001111-1-1-1-1
χ25222-2-2-2-2222-2-22-22-2000000222-2-222-222-2-2-2-22-22000000002-2-222-2-2000000002i−2i2i−2i00000000000000000000002i−2i2i−2i000000000000
χ26222-2-2-2-2222-2-22-22-2000000222-2-222-222-2-2-2-22-22000000002-2-222-2-200000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i000000000000
χ27222-2-2-2-2222-2-22-22-20000002-12-2-2-12-2-1-111112-2-100−i3i300−i3i3-111-1-111−i3−i3i3i3−i3−i3i3i32i−2i2i−2i0000000000000000000000−ii−ii3−33−300000000
χ28222-2-2-2-2222-2-22-22-20000002-12-2-2-12-2-1-111112-2-100−i3i300−i3i3-111-1-111−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i0000000000000000000000i−ii−i−33−3300000000
χ29222-2-2-2-2222-2-22-22-20000002-12-2-2-12-2-1-111112-2-100i3−i300i3−i3-111-1-111i3i3−i3−i3i3i3−i3−i32i−2i2i−2i0000000000000000000000−ii−ii−33−3300000000
χ30222-2-2-2-2222-2-22-22-20000002-12-2-2-12-2-1-111112-2-100i3−i300i3−i3-111-1-111i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000000000000000000000i−ii−i3−33−300000000
χ3122-222-2-2-22222-2-2-2-22-222-2-22-1222-1-2-21111-1-1-2-2-122-1-1-2-211-1-1-11111-1-1-1-1111122-2-2000000002-2000000000000-1-111-1-11100000000
χ3222-222-2-2-22222-2-2-2-22-222-2-22-1222-1-2-21111-1-1-2-2-122-1-1-2-211-1-1-11111-1-1-1-11111-2-22200000000-2200000000000011-1-111-1-100000000
χ3322-222-2-2-22222-2-2-2-22-222-2-2-12-1-1-1211-2-2-2-22211-1-1-12211-2-2-1-1-11111-1-1-1-11111000000002i2i−2i−2i002i−2i000000000000000000−i−iii−i−iii
χ3422-222-2-2-22222-2-2-2-22-222-2-2-12-1-1-1211-2-2-2-22211-1-1-12211-2-2-1-1-11111-1-1-1-1111100000000−2i−2i2i2i00−2i2i000000000000000000ii−i−iii−i−i
χ3522-222-2-2-22222-2-2-2-2-22-2-2222-1222-1-2-21111-1-1-2-2-1-2-21122-1-1-1-1-111111111-1-1-1-122-2-200000000-22000000000000-1-11111-1-100000000
χ3622-222-2-2-22222-2-2-2-2-22-2-2222-1222-1-2-21111-1-1-2-2-1-2-21122-1-1-1-1-111111111-1-1-1-1-2-222000000002-200000000000011-1-1-1-11100000000
χ3722-222-2-2-22222-2-2-2-2-22-2-222-12-1-1-1211-2-2-2-22211-111-2-2-1-122-1-1-111111111-1-1-1-1000000002i2i−2i−2i00−2i2i000000000000000000−i−iiiii−i−i
χ3822-222-2-2-22222-2-2-2-2-22-2-222-12-1-1-1211-2-2-2-22211-111-2-2-1-122-1-1-111111111-1-1-1-100000000−2i−2i2i2i002i−2i000000000000000000ii−i−i−i−iii
χ3922-2-2-222-222-2-2-22-22000000222-2-22-22-2-222-2-2-222000000002-2-2-2-222000000002i−2i−2i2i00000000000000000000002i−2i−2i2i000000000000
χ4022-2-2-222-222-2-2-22-22000000222-2-22-22-2-222-2-2-222000000002-2-2-2-22200000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i000000000000
χ4122-2-2-222-222-2-2-22-220000002-12-2-2-1-2211-1-111-22-100−i3i300i3−i3-11111-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i0000000000000000000000−iii−i3−3−3300000000
χ4222-2-2-222-222-2-2-22-220000002-12-2-2-1-2211-1-111-22-100−i3i300i3−i3-11111-1-1−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i0000000000000000000000i−i−ii−333−300000000
χ4322-2-2-222-222-2-2-22-220000002-12-2-2-1-2211-1-111-22-100i3−i300−i3i3-11111-1-1i3i3−i3−i3−i3−i3i3i32i−2i−2i2i0000000000000000000000−iii−i−333−300000000
χ4422-2-2-222-222-2-2-22-220000002-12-2-2-1-2211-1-111-22-100i3−i300−i3i3-11111-1-1i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i0000000000000000000000i−i−ii3−3−3300000000
χ452-222-22-2-22-22-222-2-200000022-22-2-22-22-22-22-2-22200000000-22-22-22-20000000000002i−2i2i−2i00000000002i−2i2i−2i00000000000000000000
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χ472-22-22-22-22-2-222-2-2200000022-2-22-2222-2-22-22-2-2200000000-2-222-2-2200000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i0000
χ482-22-22-22-22-2-222-2-2200000022-2-22-2222-2-22-22-2-2200000000-2-222-2-220000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000
χ492-22-22-22-22-2-222-2-22000000-1211-1-2-1-12-2-22-2211-1−i3i300−i3i30011-1-111-1−i3i3−i3i3−i3i3−i3i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−3
χ502-22-22-22-22-2-222-2-22000000-1211-1-2-1-12-2-22-2211-1−i3i300−i3i30011-1-111-1−i3i3−i3i3−i3i3−i3i300000000−2i2i−2i2i0000000000000000000000i−ii−i−33−33
χ512-22-22-22-22-2-222-2-22000000-1211-1-2-1-12-2-22-2211-1i3−i300i3−i30011-1-111-1i3−i3i3−i3i3−i3i3−i3000000002i−2i2i−2i0000000000000000000000−ii−ii−33−33
χ522-22-22-22-22-2-222-2-22000000-1211-1-2-1-12-2-22-2211-1i3−i300i3−i30011-1-111-1i3−i3i3−i3i3−i3i3−i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−3
χ532-2-22-2-2222-22-2-2-22200000022-22-2-2-22-22-222-22-2200000000-22-2-22-220000000000002-2-2200000000002-2-2200000000000000000000
χ542-2-22-2-2222-22-2-2-22200000022-22-2-2-22-22-222-22-2200000000-22-2-22-22000000000000-222-20000000000-222-200000000000000000000
χ552-2-2-222-222-2-22-222-200000022-2-22-2-2-2-222-2-2222200000000-2-22-222-200000000000000002-2-2200000000000000000000002-2-220000
χ562-2-2-222-222-2-22-222-200000022-2-22-2-2-2-222-2-2222200000000-2-22-222-20000000000000000-222-20000000000000000000000-222-20000
χ572-2-2-222-222-2-22-222-2000000-1211-1-211-222-2-22-1-1-1−i3i300i3−i30011-11-1-11−i3i3−i3i3i3−i3i3−i3000000002-2-220000000000000000000000-111-1−i3i3i3−i3
χ582-2-2-222-222-2-22-222-2000000-1211-1-211-222-2-22-1-1-1−i3i300i3−i30011-11-1-11−i3i3−i3i3i3−i3i3−i300000000-222-200000000000000000000001-1-11i3−i3−i3i3
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χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21222222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ6744-444-4-4-44444-4-4-4-4-44-4-444-2-2-2-2-2-2222222-2-22212222-2-2-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
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χ976-6-66-6-666-33-3333-3-300−3i33i33i3−3i3000000000000000000000000000000000000000000002-2-220000000000-111-1−i3i3i3−i30000000000000000
χ986-6-66-6-666-33-3333-3-300−3i33i33i3−3i300000000000000000000000000000000000000000000-222-200000000001-1-11i3−i3−i3i30000000000000000
χ996-6-66-6-666-33-3333-3-3003i3−3i3−3i33i3000000000000000000000000000000000000000000002-2-220000000000-111-1i3−i3−i3i30000000000000000
χ1006-6-66-6-666-33-3333-3-3003i3−3i3−3i33i300000000000000000000000000000000000000000000-222-200000000001-1-11−i3i3i3−i30000000000000000
χ101121212-12-12-12-1212-6-666-66-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-121212-12-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-1212-1212-12-666-6-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-121212-1212-666-66-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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