Finite Group Databasebeta

← Group #13156358

Character table — Group #13156358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244412121212121212121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-200-2000022-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20020000-2-22222-2-2-2-2222200000000000000000000000000000000
χ11222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100022000000-1-1-1-12200-1-1-1-1000000000
χ12222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2211112222-1-1-1-1-1-1-1-1-1-1000-2-20000001111-2-2001111000000000
χ13222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-122-2-1-1-1-1-2-2-2-2111111111100022000000-1-1-1-1-2-2001111000000000
χ14222222-12222-122-122-12-1-12-1-12-1-1-12-1222-1-1-1-1-1-12-2-21111-1-1-1-122-1-1-1-1-1-1-2-2-21111-2-2-2-21111111111000-2-200000011112200-1-1-1-1000000000
χ15222222-1-2-222-122-122-12-1-12-1-12-1-1-12-1-2-2-2111111-222-1-1-1-1-1-1-1-1-2-211111100-2−i3−i3i3i322-2-211-1-1-1-1111100000000000−i3−i3i3i30000−i3−i3i3i3000000000
χ16222222-1-2-222-122-122-12-1-12-1-12-1-1-12-1-2-2-2111111-222-1-1-1-1-1-1-1-1-2-211111100-2i3i3−i3−i322-2-211-1-1-1-1111100000000000i3i3−i3−i30000i3i3−i3−i3000000000
χ17222222-1-2-222-122-122-12-1-12-1-12-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111002−i3−i3i3i3-2-222-1-11111-1-1-1-100000000000−i3−i3i3i30000i3i3−i3−i3000000000
χ18222222-1-2-222-122-122-12-1-12-1-12-1-1-12-1-2-2-2111111-2-2-21111-1-1-1-1-2-2111111002i3i3−i3−i3-2-222-1-11111-1-1-1-100000000000i3i3−i3−i30000−i3−i3i3i3000000000
χ1922222-12222-12222-1-12-12-1-122-1-1-1-1-12-1-1222-1-1-1-12222222-1-1-1-1-1-122-1-1-1-10020000-1-1-1-122-1-1-1-1-1-1-1-122200-1-1-1-1-1-100000000000000002-1-100
χ2022222-12222-12222-1-12-12-1-122-1-1-1-1-12-1-1222-1-1-1-12222222-1-1-1-1-1-122-1-1-1-10020000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2001111110000000000000000-21100
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χ2522222-12-2-22-12222-1-12-12-1-122-1-1-1-1-1211-2-2-21111-2-2-2-2-2-2-2-1-1-1-111-2-21111002000011-1-1221111-1-1-1-100000−i3i3−i3−i3i3i300000000000000000i3−i300
χ2622222-12-2-22-12222-1-12-12-1-122-1-1-1-1-1211-2-2-21111-2-2-2-2-2-2-2-1-1-1-111-2-21111002000011-1-1221111-1-1-1-100000i3−i3i3i3−i3−i300000000000000000−i3i300
χ272222-12222-122-1-12222-1-12-1-1-1-1222-1-122-1222222-1000000-1-1-1-1-1-1-1-1-1-1-1-12202222000000000000002-1-1-1-122-1-1-1-1-1-1-1-100220000-1-1-1-100000
χ282222-12222-122-1-12222-1-12-1-1-1-1222-1-122-1222222-1000000-1-1-1-1-1-1-1-1-1-1-1-1220222200000000000000-211-1-1-2-21111-1-1-1-100-2-20000111100000
χ292222-12222-122-1-12222-1-12-1-1-1-1222-1-122-1222222-1000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000000000000002-1-11122-1-1-1-1111100-2-20000111100000
χ302222-12222-122-1-12222-1-12-1-1-1-1222-1-122-1222222-1000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-200000000000000-21111-2-21111111100220000-1-1-1-100000
χ3122-2-22222-2-22-2-222-2-2-2222-2-2-222-2-2-222-222-222-2-2-20000002-2-222-22-222-2-22-202-22-2000000000000000002-20000002-22-200000000000000000
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χ3422-2-2222-22-22-2-222-2-2-2222-2-2-222-2-2-22-22-2-22-2-22220000002-2-22-22-22-2-222000000000000000000000000000000000000−2i2i00−2i2i−2i2i000000000
χ3522-2-222-12-2-221-22-1-2-212-1-1-2112-111-2-12-22-11-1-111-20033−3−3-111-12-2-11-1-1112-20-11-1100003−333−3−333−3−30002-2000000-11-1100003−3−33000000000
χ3622-2-222-12-2-221-22-1-2-212-1-1-2112-111-2-12-22-11-1-111-20033−3−3-111-12-2-11-1-111-2201-11-100003−333−3−333−3−3000-220000001-11-10000−333−3000000000
χ3722-2-222-12-2-221-22-1-2-212-1-1-2112-111-2-12-22-11-1-111-200−3−333-111-12-2-11-1-1112-20-11-110000−33−3−333−3−3330002-2000000-11-110000−333−3000000000
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χ3922-2-222-1-22-221-22-1-2-212-1-1-2112-111-2-1-22-21-111-1-120033−3−3-111-1-221-111-1-1000−i3i3i3−i30000−3333−3−3−3−33300000000000−i3i3i3−i32i−2i00−ii−ii000000000
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χ4122-2-222-1-22-221-22-1-2-212-1-1-2112-111-2-1-22-21-111-1-1200−3−333-111-1-221-111-1-1000−i3i3i3−i300003−3−3−33333−3−300000000000−i3i3i3−i3−2i2i00i−ii−i000000000
χ4222-2-222-1-22-221-22-1-2-212-1-1-2112-111-2-1-22-21-111-1-1200−3−333-111-1-221-111-1-1000i3−i3−i3i300003−3−3−33333−3−300000000000i3−i3−i3i32i−2i00−ii−ii000000000
χ4322-2-2-1222-212-21-12-2-2-2-1-12111-12-2-21-12-2-12-222-2-21000000-111-1-11-11-1-1112-202-22-20000000000000003−3-11003−33−3-11-110000000033−3−300000
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χ472-2-22222002-2-2-2-2-2-22222222-2-2-22-2-2-200000000002i−2i2i−2i2i−2i22-2-20000000000000002i−2i00002i−2i2i−2i0000000000000000000002−200002−22−2000−i2i2
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χ5144444-2-2444-2-244-2-2-2-2-2-21-2-2-2-2111-2-2-2-24-2-21111444-2-2-2-21111-2-2-2-211110040000-2-2-2-2-2-21111111100000000000000000000000000000000
χ5244444-2-2444-2-244-2-2-2-2-2-21-2-2-2-2111-2-2-2-24-2-211114-4-422221111-2-2-2-2111100-40000222222-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ904-4-4444-2004-42-4-42-44-24-2-24-22-42-22-4200000000004i−4i−2i2i−2i2i-2-2220000000000000004i−4i0000−2i2i−2i2i000000000000000000000000000000000000
χ914-4-4444-2004-42-4-42-44-24-2-24-22-42-22-420000000000−4i4i2i−2i2i−2i-2-222000000000000000−4i4i00002i−2i2i−2i000000000000000000000000000000000000
χ924-4-444-240042-4-4-4-42-24-24-2-24-422-222-400000000004i−4i4i−4i4i−4i-2-222000000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000
χ934-4-444-240042-4-4-4-42-24-24-2-24-422-222-40000000000−4i4i−4i4i−4i4i-2-2220000000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000
χ944-4-444-2-200422-4-422-2-2-2-21-2-222-11-122000003i−3i−3i3i04i−4i−2i2i−2i2i11-1-100003i−3i−3i3i0000000−2i2i0000i−ii−i3-3-3300000000000000000000000000000000
χ954-4-444-2-200422-4-422-2-2-2-21-2-222-11-122000003i−3i−3i3i0−4i4i2i−2i2i−2i11-1-100003i−3i−3i3i00000002i−2i0000−ii−ii-333-300000000000000000000000000000000
χ964-4-444-2-200422-4-422-2-2-2-21-2-222-11-12200000−3i3i3i−3i04i−4i−2i2i−2i2i11-1-10000−3i3i3i−3i0000000−2i2i0000i−ii−i-333-300000000000000000000000000000000
χ974-4-444-2-200422-4-422-2-2-2-21-2-222-11-12200000−3i3i3i−3i0−4i4i2i−2i2i−2i11-1-10000−3i3i3i−3i00000002i−2i0000−ii−ii3-3-3300000000000000000000000000000000
χ984-4-44-24400-2-4-422-4-444-2-24-2-222-44-4220000000000000000-2-222000000000000000000000000000000000000000000000022−220000−22−2200000
χ994-4-44-24400-2-4-422-4-444-2-24-2-222-44-4220000000000000000-2-2220000000000000000000000000000000000000000000000−222200002−22−200000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-48-84-444-4-4444222-2-2-222-2-2-22-44-4-4422-2-24000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-884-444-4-4444222-2-2-222-2-2-224-444-4-2-222-4000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4004-8-4-4448-84-42-44-22444-4-4-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4800448-44-8-44-82-4-4-24-4-244-42400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-40044-4-444-444222-2-22-2-2-222-2000006i−6i6i−6i0000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-40044-4-444-444222-2-22-2-2-222-200000−6i6i−6i6i0000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1088-8-88-48-400-4-84444-88-4-42-4-42-244-444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800-44-844-84-482-4-42-44-24-44-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400-4444444-4-422222-2-2-22-2-2-2000006i−6i−6i6i0000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400-4444444-4-422222-2-2-22-2-2-200000−6i6i6i−6i0000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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