Finite Group Databasebeta

← Group #13152053

Character table — Group #13152053

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122222366666336666666666366666666644441212121212121212244466121212121212222222666666666666666666666666666644441212121212121212244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ51111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-11111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-1
χ81111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-1111111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-111
χ92222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-10000000000002002-1-10000-1-12222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-10000000000002002-1-10000-1-1
χ102222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1000000000000-200-2110000112222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1000000000000-200-211000011
χ11222222222222-12-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222222222-12-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-12-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222222222-12-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ132222-2-22222-2-22-122-2-2-2-2-1-1-12-111-1-1-11111000000000000200-2-1-10000112222-2-22222-2-22-122-2-2-2-2-1-1-12-111-1-1-11111000000000000200-2-1-1000011
χ142222-2-22222-2-22-122-2-2-2-2-1-1-12-111-1-1-11111000000000000-2002110000-1-12222-2-22222-2-22-122-2-2-2-2-1-1-12-111-1-1-11111000000000000-2002110000-1-1
χ152222-2-22222-2-2-12-1-11111222-1-1-2-2-1-1-1111122-2-2-1-1-1-111110000000000002222-2-22222-2-2-12-1-11111222-1-1-2-2-1-1-1111122-2-2-1-1-1-11111000000000000
χ162222-2-22222-2-2-12-1-11111222-1-1-2-2-1-1-11111-2-2221111-1-1-1-10000000000002222-2-22222-2-2-12-1-11111222-1-1-2-2-1-1-11111-2-2221111-1-1-1-1000000000000
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χ292-2-222-222-2-22-222-2-22-2-22-2-22222-2-2-222-2-220000000000000000000000002-2-222-222-2-22-222-2-22-2-22-2-22222-2-2-222-2-22000000000000000000000000
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χ322-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i30000000000002-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000
χ332-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i30000000000002-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000
χ342-2-22-2222-2-2-2222-2-2-222-2-2-2222-22-2-22-222-20000000000000000000000002-2-22-2222-2-2-2222-2-2-222-2-2-2222-22-2-22-222-2000000000000000000000000
χ352-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000−i3i30000i3−i32-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000−i3i30000i3−i3
χ362-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000i3−i30000−i3i32-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000i3−i30000−i3i3
χ372-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i30000000000002-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000
χ382-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i30000000000002-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000
χ404444-4-44444-4-4-2-2-2-22222-2-2-2-2122111-1-1-1-10000000000000000000000004444-4-44444-4-4-2-2-2-22222-2-2-2-2122111-1-1-1-1000000000000000000000000
χ4144-4-4004-44-4004-24-40000-222-4-200-222000000000000000000000000000044-4-4004-44-4004-24-40000-222-4-200-2220000000000000000000000000000
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χ444-44-4004-4-44004-2-4400002-22-4-2002-2200000000000000000000000000004-44-4004-4-44004-2-4400002-22-4-2002-220000000000000000000000000000
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χ484-4-44-4444-4-4-44-2-2222-2-2222-2-212-2-1-11-111-10000000000000000000000004-4-44-4444-4-4-44-2-2222-2-2222-2-212-2-1-11-111-1000000000000000000000000
χ49666666-3-3-3-3-3-30000000000000000000000000000000000022000-1-1-1-100666666-3-3-3-3-3-30000000000000000000000000000000000022000-1-1-1-100
χ50666666-3-3-3-3-3-300000000000000000000000000000000000-2-2000111100666666-3-3-3-3-3-300000000000000000000000000000000000-2-2000111100
χ516666-6-6-3-3-3-333000000000000000000000000000000000002-2000-1-111006666-6-6-3-3-3-333000000000000000000000000000000000002-2000-1-11100
χ526666-6-6-3-3-3-33300000000000000000000000000000000000-2200011-1-1006666-6-6-3-3-3-33300000000000000000000000000000000000-2200011-1-100
χ536-6-666-6-3-333-3300000000000000000000000000000000000000003−33−3006-6-666-6-3-333-3300000000000000000000000000000000000000003−33−300
χ546-6-666-6-3-333-330000000000000000000000000000000000000000−33−33006-6-666-6-3-333-330000000000000000000000000000000000000000−33−3300
χ556-6-66-66-3-3333-300000000000000000000000000000000000000003−3−33006-6-66-66-3-3333-300000000000000000000000000000000000000003−3−3300
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χ571212-12-1200-66-660000000000000000000000000000000000000000000000001212-12-1200-66-66000000000000000000000000000000000000000000000000
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χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-1
χ621111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-111
χ631111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111
χ641111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ651111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1-11-11-1-111-1-111
χ661111-1-11111-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-11-11-111-1-111-1-1
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χ812-22-2002-2-220022-220000-22-2-2200-22-200002i−2i002i−2i2i−2i0000000000000000-22-2200-222-200-2-22-200002-222-2002-220000−2i2i00−2i2i−2i2i0000000000000000
χ822-22-2002-2-220022-220000-22-2-2200-22-20000−2i2i00−2i2i−2i2i0000000000000000-22-2200-222-200-2-22-200002-222-2002-2200002i−2i002i−2i2i−2i0000000000000000
χ832-22-2002-2-2200-121-1−i3i3−i3i3-22-21-1001-11−i3i3−i3i32i−2i00−ii−ii3−33−3000000000000-22-2200-222-2001-2-11i3−i3i3−i32-22-1100-11-1i3−i3i3−i3−2i2i00i−ii−i−33−33000000000000
χ842-22-2002-2-2200-121-1−i3i3−i3i3-22-21-1001-11−i3i3−i3i3−2i2i00i−ii−i−33−33000000000000-22-2200-222-2001-2-11i3−i3i3−i32-22-1100-11-1i3−i3i3−i32i−2i00−ii−ii3−33−3000000000000
χ852-22-2002-2-2200-121-1i3−i3i3−i3-22-21-1001-11i3−i3i3−i32i−2i00−ii−ii−33−33000000000000-22-2200-222-2001-2-11−i3i3−i3i32-22-1100-11-1−i3i3−i3i3−2i2i00i−ii−i3−33−3000000000000
χ862-22-2002-2-2200-121-1i3−i3i3−i3-22-21-1001-11i3−i3i3−i3−2i2i00i−ii−i3−33−3000000000000-22-2200-222-2001-2-11−i3i3−i3i32-22-1100-11-1−i3i3−i3i32i−2i00−ii−ii−33−33000000000000
χ872-2-222-222-2-22-222-2-22-2-22-2-22222-2-2-222-2-22000000000000000000000000-222-2-22-2-222-22-2-222-222-222-2-2-2-2222-2-222-2000000000000000000000000
χ882-2-222-222-2-22-22-1-2-22-2-2211-12-1-1111-1-111-10000000000000000−i3i30000−i3i3-222-2-22-2-222-22-2122-222-2-1-11-211-1-1-111-1-110000000000000000i3−i30000i3−i3
χ892-2-222-222-2-22-22-1-2-22-2-2211-12-1-1111-1-111-10000000000000000i3−i30000i3−i3-222-2-22-2-222-22-2122-222-2-1-11-211-1-1-111-1-110000000000000000−i3i30000−i3i3
χ902-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000-222-2-22-2-222-221-2-1-11-1-1122-211-22-1-111-1-110000i3−i3−i3i3i3−i3−i3i3000000000000
χ912-2-222-222-2-22-2-1211-111-1-2-22-1-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000-222-2-22-2-222-221-2-1-11-1-1122-211-22-1-111-1-110000−i3i3i3−i3−i3i3i3−i3000000000000
χ922-2-22-2222-2-2-2222-2-2-222-2-2-2222-22-2-22-222-2000000000000000000000000-222-22-2-2-2222-2-2-2222-2-2222-2-2-22-222-22-2-22000000000000000000000000
χ932-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000−i3i30000i3−i3-222-22-2-2-2222-2-21222-2-22-1-11-21-11-1-11-111-10000000000000000i3−i30000−i3i3
χ942-2-22-2222-2-2-222-1-2-2-222-211-12-11-111-11-1-110000000000000000i3−i30000−i3i3-222-22-2-2-2222-2-21222-2-22-1-11-21-11-1-11-111-10000000000000000−i3i30000i3−i3
χ952-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000-222-22-2-2-2222-21-2-1-1-111-122-2112-2-1-11-111-10000i3−i3−i3i3−i3i3i3−i3000000000000
χ962-2-22-2222-2-2-22-12111-1-11-2-22-1-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000-222-22-2-2-2222-21-2-1-1-111-122-2112-2-1-11-111-10000−i3i3i3−i3i3−i3−i3i3000000000000
χ97444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4222222222222-122-1-1-1-1-1-1-1000000000000000000000000
χ984444-4-44444-4-4-2-2-2-22222-2-2-2-2122111-1-1-1-1000000000000000000000000-4-4-4-444-4-4-4-4442222-2-2-2-22222-1-2-2-1-1-11111000000000000000000000000
χ9944-4-4004-44-4004-24-40000-222-4-200-2220000000000000000000000000000-4-44400-44-4400-42-4400002-2-242002-2-20000000000000000000000000000
χ10044-4-4004-44-400-2-2-22−2i3−2i32i32i3-22221001-1-1i3i3−i3−i3000000000000000000000000-4-44400-44-4400222-22i32i3−2i3−2i32-2-2-2-100-111−i3−i3i3i3000000000000000000000000
χ10144-4-4004-44-400-2-2-222i32i3−2i3−2i3-22221001-1-1−i3−i3i3i3000000000000000000000000-4-44400-44-4400222-2−2i3−2i32i32i32-2-2-2-100-111i3i3−i3−i3000000000000000000000000
χ1024-44-4004-4-44004-2-4400002-22-4-2002-220000000000000000000000000000-44-4400-444-400-424-40000-22-24200-22-20000000000000000000000000000
χ1034-44-4004-4-4400-2-22-2−2i32i3−2i32i32-222100-11-1i3−i3i3−i3000000000000000000000000-44-4400-444-40022-222i3−2i32i3−2i3-22-2-2-1001-11−i3i3−i3i3000000000000000000000000
χ1044-44-4004-4-4400-2-22-22i3−2i32i3−2i32-222100-11-1−i3i3−i3i3000000000000000000000000-44-4400-444-40022-22−2i32i3−2i32i3-22-2-2-1001-11i3−i3i3−i3000000000000000000000000
χ1054-4-444-444-4-44-4-2-222-222-222-2-21-22-1-111-1-11000000000000000000000000-444-4-44-4-444-4422-2-22-2-22-2-222-12-211-1-111-1000000000000000000000000
χ1064-4-44-4444-4-4-44-2-2222-2-2222-2-212-2-1-11-111-1000000000000000000000000-444-44-4-4-4444-422-2-2-222-2-2-222-1-2211-11-1-11000000000000000000000000
χ107666666-3-3-3-3-3-30000000000000000000000000000000000022000-1-1-1-100-6-6-6-6-6-633333300000000000000000000000000000000000-2-2000111100
χ108666666-3-3-3-3-3-300000000000000000000000000000000000-2-2000111100-6-6-6-6-6-63333330000000000000000000000000000000000022000-1-1-1-100
χ1096666-6-6-3-3-3-333000000000000000000000000000000000002-2000-1-11100-6-6-6-6663333-3-300000000000000000000000000000000000-2200011-1-100
χ1106666-6-6-3-3-3-33300000000000000000000000000000000000-2200011-1-100-6-6-6-6663333-3-3000000000000000000000000000000000002-2000-1-11100
χ1116-6-666-6-3-333-3300000000000000000000000000000000000000003−33−300-666-6-6633-3-33-30000000000000000000000000000000000000000−33−3300
χ1126-6-666-6-3-333-330000000000000000000000000000000000000000−33−3300-666-6-6633-3-33-300000000000000000000000000000000000000003−33−300
χ1136-6-66-66-3-3333-300000000000000000000000000000000000000003−3−3300-666-66-633-3-3-330000000000000000000000000000000000000000−333−300
χ1146-6-66-66-3-3333-30000000000000000000000000000000000000000−333−300-666-66-633-3-3-3300000000000000000000000000000000000000003−3−3300
χ1151212-12-1200-66-66000000000000000000000000000000000000000000000000-12-121212006-66-6000000000000000000000000000000000000000000000000
χ11612-1212-1200-666-6000000000000000000000000000000000000000000000000-1212-1212006-6-66000000000000000000000000000000000000000000000000

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