Finite Group Databasebeta

← Group #13156490

Character table — Group #13156490

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order12223334466666666633366666666612121212121236661212121212121212121244441212121212121212441212121241212121212121212121212121212121212121212266888824242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000222222000000000000000000000-2-2-20000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-20000000000000000000002220000000000000
χ11222222-12222222-1-1-122-1-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1022002200-1-1-1-1-1-1-1-100002-1-10000000000000
χ12222222-12222222-1-1-122-1-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-2111102200-2-200-1-1-1-111110000-2110000000000000
χ13222222-12222222-1-1-122-1-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211110-2-20022001111-1-1-1-10000-2110000000000000
χ14222222-12222222-1-1-122-1-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-10-2-200-2-2001111111100002-1-10000000000000
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χ17222222-1-2-222222-1-1-122-1-12-1-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3−i3−i3i3i3-2-21111000000000i3i3−i3−i3−i3−i3i3i300002-1-10000000000000
χ18222222-1-2-222222-1-1-122-1-12-1-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000i3i3−i3−i3i3i3−i3−i30000-2110000000000000
χ1922222-122222-1-1-12222-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-12200222200000000002-1-1-1-10022-1-1-1-10000-1-1-1-10002200-1-1-1-100000
χ2022222-122222-1-1-12222-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1220022220000000000-2-1-11100-2-2-1-1-1-100001111000-2-200111100000
χ2122222-122222-1-1-12222-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-20000000000211-1-1002211110000-1-1-1-1000-2-200111100000
χ2222222-122222-1-1-12222-12-1-12-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-20000000000-2111100-2-21111000011110002200-1-1-1-100000
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χ242222-12222-1-1222222-1-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-1002200002222000000-200-2-2-1-1110000-1-1-1-1111100000-2-2000011110
χ252222-12222-1-1222222-1-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-100-2-20000-2-2-2-20000002002211-1-100001111-1-1-1-100000-2-2000011110
χ262222-12222-1-1222222-1-1-12-1-12-1-12-1-12-1222-12-1-1-1-1-1-1-1-122-1-1-1-100-2-20000-2-2-2-2000000-200-2-2111100001111111100000220000-1-1-1-10
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χ282-22-222200-2-2-22-22-2-22222-2-22-2-2-222-200000022-2-200000000000000000000002i−2i2i2i−2i−2i000000000000000000000000i2−i2−22i2i2−i2−i2−2−2220
χ292-22-222200-2-2-22-22-2-22222-2-22-2-2-222-200000022-2-20000000000000000000000−2i2i−2i−2i2i2i000000000000000000000000−i2i2−22−i2−i2i2i2−2−2220
χ302-22-222200-2-2-22-22-2-22222-2-22-2-2-222-200000022-2-20000000000000000000000−2i2i−2i−2i2i2i000000000000000000000000i2−i22−2i2i2−i2−i222−2−20
χ312-2-222222-2-222-2-2-2-22-2222-2-2-2222-2-2-22-22-2-222-2-222-22-22-222-2-22i−2i002i−2i2i−2i000000000002i−2i0000002i−2i2i−2i000000000000000000000000
χ322-2-222222-2-222-2-2-2-22-2222-2-2-2222-2-2-22-22-2-222-2-222-22-22-222-2-2−2i2i00−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i000000000000000000000000
χ332-2-22222-22-222-2-2-2-22-2222-2-2-2222-2-2-2-22-222-22-2-22-22-22-22-2-222002i−2i00002i−2i2i−2i000000000002i−2i0000002i−2i2i−2i00000000000000000000
χ342-2-22222-22-222-2-2-2-22-2222-2-2-2222-2-2-2-22-222-22-2-22-22-22-22-2-22200−2i2i0000−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i00000000000000000000
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χ372-2-2222-12-2-222-2-211-1-22-1-1-2112-1-1-2112-2-11-22-111-12-2-11-11-1-111−2i2i00i−ii−i3−3−3300i3−i3i3−i30−2i2i000000i−ii−i3−3−3300000i3−i30000000000000
χ382-2-2222-12-2-222-2-211-1-22-1-1-2112-1-1-2112-2-11-22-111-12-2-11-11-1-111−2i2i00i−ii−i−333−300−i3i3−i3i30−2i2i000000i−ii−i−333−300000−i3i30000000000000
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χ402-2-2222-1-22-222-2-211-1-22-1-1-2112-1-1-211-221-12-2-111-1-221-11-111-1-1002i−2i−333−3−ii−ii00i3−i3i3−i3000002i−2i00−333−3−ii−ii00000−i3i30000000000000
χ412-2-2222-1-22-222-2-211-1-22-1-1-2112-1-1-211-221-12-2-111-1-221-11-111-1-100−2i2i3−3−33i−ii−i00i3−i3i3−i300000−2i2i003−3−33i−ii−i00000−i3i30000000000000
χ422-2-2222-1-22-222-2-211-1-22-1-1-2112-1-1-211-221-12-2-111-1-221-11-111-1-100−2i2i−333−3i−ii−i00−i3i3−i3i300000−2i2i00−333−3i−ii−i00000i3−i30000000000000
χ432-2-222-122-2-22-111-2-22-2-12-11-21-12-11-21212-2-2-1-111-1-112-2-11-1-1112i−2i002i−2i2i−2i00000000000−ii3−30000−ii−ii000033−3−30000000−i3i3−i3i300000
χ442-2-222-122-2-22-111-2-22-2-12-11-21-12-11-21212-2-2-1-111-1-112-2-11-1-1112i−2i002i−2i2i−2i00000000000−ii−330000−ii−ii0000−3−3330000000i3−i3i3−i300000
χ452-2-222-122-2-22-111-2-22-2-12-11-21-12-11-21212-2-2-1-111-1-112-2-11-1-111−2i2i00−2i2i−2i2i00000000000i−i3−30000i−ii−i000033−3−30000000i3−i3i3−i300000
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χ482-2-22-122-221-12-2-2-2-221-1-1211-2-1-1211-212-22-1-2-111-11-11-1-2211-1-1002i−2i00002i−2i2i−2i00000000000−ii−330000−ii−ii−33−3300000000000i3−i3i3−i30
χ492-2-22-122-221-12-2-2-2-221-1-1211-2-1-1211-212-22-1-2-111-11-11-1-2211-1-100−2i2i0000−2i2i−2i2i00000000000i−i3−30000i−ii−i3−33−300000000000i3−i3i3−i30
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χ9788-8-8-4-4-400-4444-44-44422222-2-2-2-2-2-22000000-11-1100000033−3333−330000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-400-4444-44-44422222-2-2-2-2-2-22000000-11-11000000−3333−33330000000000000000000000000000000000000000000000000000000
χ998-88-88-4-400-8-84-44-4448-4-4244244-2-4-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-40044-88-8-444-4-42-44-2-44-24-42400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800444-448-8-8-42-4-4-24-4-2442-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400444-44-444-4222-2-22-2-2-222-2000000-1-11100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400444-44-444-4222-2-22-2-2-222-2000000-1-111000000−333333−330000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48-84-4-44444-44222-2-2-2222-2-2-2-44-444-4-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-884-4-44444-44222-2-2-2222-2-2-24-44-4-44-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000

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