Finite Group Databasebeta

← Group #13140257

Character table — Group #13140257

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order12222222366666664412121212336666666666666636666666121212121212121212121212121212122222444444442244446666666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ9111-1-11-1-11111-1-1-1-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-1i−i1-111-1-111-1-1ii−i−iii−i−iii−i−i11-1-1
χ10111-1-11-1-11111-1-1-1-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii−i−iii-11i−i-1111-1-1-1-111ii−i−i−i−iii−i−iii-1-111
χ11111-1-11-1-11111-1-1-1-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i−i−iii1-1−ii-11-1-11111-1-1−i−iiiii−i−i−i−iii-1-111
χ12111-1-11-1-11111-1-1-1-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iiiii−i−i-11−ii1-1-1-111-1-111−i−iii−i−iiiii−i−i11-1-1
χ13111-1-11-1-11111-1-1-1-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i-11−ii-1111-1-1-1-111−i−iiiii−i−iii−i−i-1-111
χ14111-1-11-1-11111-1-1-1-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-1−ii1-111-1-111-1-1−i−iii−i−iii−i−iii11-1-1
χ15111-1-11-1-11111-1-1-1-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i−i−iii-11i−i1-1-1-111-1-111ii−i−iii−i−i−i−iii11-1-1
χ16111-1-11-1-11111-1-1-1-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iiiii−i−i1-1i−i-11-1-11111-1-1ii−i−i−i−iiiii−i−i-1-111
χ1722222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200002200000000-1-1-1-10000-1-1-1-100000000
χ1822222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000011110000111100000000
χ192222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000022220000220000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000022220000-2-20000000011110000-1-1-1-100000000
χ222222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-200002200000000-1-1-1-10000111100000000
χ232222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-2111111110000000022220000-2-20000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-21111111100000000-2-2-2-200002200000000000000001111-1-1-1-1
χ25222-2-22-2-22222-2-2-2-22i−2i2i2i−2i−2i2-122-2-2-1-1-111-212-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i00002-200000000-1-1110000−i−iii00000000
χ26222-2-22-2-22222-2-2-2-22i−2i2i2i−2i−2i2-122-2-2-1-1-111-212-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i0000-220000000011-1-10000ii−i−i00000000
χ27222-2-22-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-111222-2-21-2-11-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii000000002i2i−2i−2i00002-20000000000000000−i−iii-1-111
χ28222-2-22-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-111222-2-21-2-11-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii00000000−2i−2i2i2i0000-220000000000000000ii−i−i11-1-1
χ29222-2-22-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-122-2-2-1-1-111-212-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i0000-220000000011-1-10000−i−iii00000000
χ30222-2-22-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-122-2-2-1-1-111-212-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i00002-200000000-1-1110000ii−i−i00000000
χ31222-2-22-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-111222-2-21-2-11-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i000000002i2i−2i−2i0000-220000000000000000−i−iii11-1-1
χ32222-2-22-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-111222-2-21-2-11-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000−2i−2i2i2i00002-20000000000000000ii−i−i-1-111
χ3322-222-2-2-222-2-22-22-2000000222-22-22-2-22-222-2-2-222-2-22-2-220000000000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i0000
χ3422-222-2-2-222-2-22-22-2000000222-22-22-2-22-222-2-2-222-2-22-2-22000000000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000
χ3522-222-2-2-222-2-22-22-2000000-12-11-112-2-22-2-1211-2-1-111-111-1−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−3
χ3622-222-2-2-222-2-22-22-2000000-12-11-112-2-22-2-1211-2-1-111-111-1−i3i300−i3i300−i3−i3i3i3−i3−i3i3i300000000−2i2i−2i2i0000000000000000000000i−ii−i−33−33
χ3722-222-2-2-222-2-22-22-2000000-12-11-112-2-22-2-1211-2-1-111-111-1i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3000000002i−2i2i−2i0000000000000000000000−ii−ii−33−33
χ3822-222-2-2-222-2-22-22-2000000-12-11-112-2-22-2-1211-2-1-111-111-1i3−i300i3−i300i3i3−i3−i3i3i3−i3−i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−3
χ3922-2-2-2-22222-2-2-22-22000000222-2-222-2-2-22-2-2-22222-2-2-222-20000000000000000000000002-2-2200000000000000000000002-2-220000
χ4022-2-2-2-22222-2-2-22-22000000222-2-222-2-2-22-2-2-22222-2-2-222-2000000000000000000000000-222-20000000000000000000000-222-20000
χ4122-2-2-2-22222-2-2-22-22000000-12-111-12-2-2-221-21-12-1-1111-1-113−300−330033−3−3−3−333000000002-2-220000000000000000000000-111-1−333−3
χ4222-2-2-2-22222-2-2-22-22000000-12-111-12-2-2-221-21-12-1-1111-1-113−300−330033−3−3−3−33300000000-222-200000000000000000000001-1-113−3−33
χ4322-2-2-2-22222-2-2-22-22000000-12-111-12-2-2-221-21-12-1-1111-1-11−33003−300−3−33333−3−3000000002-2-220000000000000000000000-111-13−3−33
χ4422-2-2-2-22222-2-2-22-22000000-12-111-12-2-2-221-21-12-1-1111-1-11−33003−300−3−33333−3−300000000-222-200000000000000000000001-1-11−333−3
χ452-222-2-22-22-22-22-2-2200000022-2222-22-222-2-2-2-2-22-22-222-2-2000000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i00000000
χ462-222-2-22-22-22-22-2-2200000022-2222-22-222-2-2-2-2-22-22-222-2-200000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i00000000
χ472-222-2-22-22-22-22-2-220000002-1-22221-11-1-1-21-2-21-11-11-1-111003−3003−33−33−33−33−300002i−2i2i−2i00000000000000−i3i3−i3i30000−ii−ii00000000
χ482-222-2-22-22-22-22-2-220000002-1-22221-11-1-1-21-2-21-11-11-1-111003−3003−33−33−33−33−30000−2i2i−2i2i00000000000000i3−i3i3−i30000i−ii−i00000000
χ492-222-2-22-22-22-22-2-220000002-1-22221-11-1-1-21-2-21-11-11-1-11100−3300−33−33−33−33−3300002i−2i2i−2i00000000000000i3−i3i3−i30000−ii−ii00000000
χ502-222-2-22-22-22-22-2-220000002-1-22221-11-1-1-21-2-21-11-11-1-11100−3300−33−33−33−33−330000−2i2i−2i2i00000000000000−i3i3−i3i30000i−ii−i00000000
χ512-22-22-2-222-22-2-222-200000022-22-2-2-22-2-2-222-2222-22-2-2-222000000000000000000002-2-2200000000000000000000002-2-2200000000
χ522-22-22-2-222-22-2-222-200000022-22-2-2-22-2-2-222-2222-22-2-2-22200000000000000000000-222-20000000000000000000000-222-200000000
χ532-22-22-2-222-22-2-222-20000002-1-22-2-21-11112-1-22-1-11-1111-1-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i300002-2-2200000000000000−i3i3i3−i30000-111-100000000
χ542-22-22-2-222-22-2-222-20000002-1-22-2-21-11112-1-22-1-11-1111-1-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i30000-222-200000000000000i3−i3−i3i300001-1-1100000000
χ552-22-22-2-222-22-2-222-20000002-1-22-2-21-11112-1-22-1-11-1111-1-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i300002-2-2200000000000000i3−i3−i3i30000-111-100000000
χ562-22-22-2-222-22-2-222-20000002-1-22-2-21-11112-1-22-1-11-1111-1-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i30000-222-200000000000000−i3i3i3−i300001-1-1100000000
χ572-2-22-22-222-2-2222-2-200000022-2-22-2-2-222-2-2-22222-2-222-22-200000000000000002-22-2000000000000002-22-200000000000000000000
χ582-2-22-22-222-2-2222-2-200000022-2-22-2-2-222-2-2-22222-2-222-22-20000000000000000-22-2200000000000000-22-2200000000000000000000
χ592-2-2-2222-22-2-22-2-22200000022-2-2-22-2-22-22222-2-22-2-22-22-2200000000000000002-2-22000000000000002-2-2200000000000000000000
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χ63444-4-44-4-44444-4-4-4-44i−4i4i4i−4i−4i-2-2-2-222-2-2-22222-2221111-1-1-1-1−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
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χ804-4-44-44-444-4-4444-4-4000000-2-222-2222-2-2222-2-2-21-1-111-11-100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ814-4-4-4444-44-4-44-4-4440000004-2-4-4-4422-22-24-24-42-222-22-22-20000000000000000000000000000000000000000000000000000000000
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χ976-6-6-6666-6-333-333-3-300−3i33i33i3−3i300000000000000000000000000000000000000002-2-2200000000000000-111-10000−i3i3i3−i3000000000000
χ986-6-6-6666-6-333-333-3-300−3i33i33i3−3i30000000000000000000000000000000000000000-222-2000000000000001-1-110000i3−i3−i3i3000000000000
χ996-6-6-6666-6-333-333-3-3003i3−3i3−3i33i300000000000000000000000000000000000000002-2-2200000000000000-111-10000i3−i3−i3i3000000000000
χ1006-6-6-6666-6-333-333-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000-222-2000000000000001-1-110000−i3i3i3−i3000000000000
χ1011212-121212-12-12-12-6-666-66-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-12-121212-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-121212-12-1212-12-66-66-666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-1212-1212-12-1212-66-666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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