Finite Group Databasebeta

← Group #13152048

Character table — Group #13152048

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
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111
χ51111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ61111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ71111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-1-1111111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-1-111
χ81111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-1-11111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-1-1
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χ102222222222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-10000000000000-2-20000011112222222222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-10000000000000-2-2000001111
χ11222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000
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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
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χ621111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111111-1-1-1-1
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χ822-22-2002-22-20022-22-20000-22-2200-22-20000−2i2i00−2i2i−2i2i0000000000000000-22-2200-22-2200-2-22-2200002-22-2002-2200002i−2i002i−2i2i−2i0000000000000000
χ832-22-2002-22-200-121-1-2−i3i3−i3i3-221-1001-11−i3i3−i3i32i−2i00−ii−ii3−33−3000000000000-22-2200-22-22001-2-112i3−i3i3−i32-2-1100-11-1i3−i3i3−i3−2i2i00i−ii−i−33−33000000000000
χ842-22-2002-22-200-121-1-2−i3i3−i3i3-221-1001-11−i3i3−i3i3−2i2i00i−ii−i−33−33000000000000-22-2200-22-22001-2-112i3−i3i3−i32-2-1100-11-1i3−i3i3−i32i−2i00−ii−ii3−33−3000000000000
χ852-22-2002-22-200-121-1-2i3−i3i3−i3-221-1001-11i3−i3i3−i32i−2i00−ii−ii−33−33000000000000-22-2200-22-22001-2-112−i3i3−i3i32-2-1100-11-1−i3i3−i3i3−2i2i00i−ii−i3−33−3000000000000
χ862-22-2002-22-200-121-1-2i3−i3i3−i3-221-1001-11i3−i3i3−i3−2i2i00i−ii−i3−33−3000000000000-22-2200-22-22001-2-112−i3i3−i3i32-2-1100-11-1−i3i3−i3i32i−2i00−ii−ii−33−33000000000000
χ872-2-222-22-2-222-222-2-222-2-22-2-2222-2-2-222-2-22000000000000000000000000-222-2-22-222-2-22-2-222-2-222-222-2-2-2222-2-222-2000000000000000000000000
χ882-2-222-22-2-222-22-1-2-2-12-2-22112-1-1111-1-111-1000000000000000000003−33−3-222-2-22-222-2-22-21221-222-2-1-1-211-1-1-111-1-1100000000000000000000−33−33
χ892-2-222-22-2-222-22-1-2-2-12-2-22112-1-1111-1-111-100000000000000000000−33−33-222-2-22-222-2-22-21221-222-2-1-1-211-1-1-111-1-11000000000000000000003−33−3
χ902-2-222-22-2-222-2-12112-111-1-2-2-1-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000-222-2-22-222-2-221-2-1-1-21-1-112211-22-1-111-1-110000i3−i3−i3i3i3−i3−i3i3000000000000
χ912-2-222-22-2-222-2-12112-111-1-2-2-1-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000-222-2-22-222-2-221-2-1-1-21-1-112211-22-1-111-1-110000−i3i3i3−i3−i3i3i3−i3000000000000
χ922-2-22-222-2-22-2222-2-22-222-2-2-222-22-2-22-222-2000000000000000000000000-222-22-2-222-22-2-2-222-22-2-2222-2-22-222-22-2-22000000000000000000000000
χ932-2-22-222-2-22-222-1-2-2-1-222-2112-11-111-11-1-11000000000000000000003−3−33-222-22-2-222-22-2-212212-2-22-1-1-21-11-1-11-111-100000000000000000000−333−3
χ942-2-22-222-2-22-222-1-2-2-1-222-2112-11-111-11-1-1100000000000000000000−333−3-222-22-2-222-22-2-212212-2-22-1-1-21-11-1-11-111-1000000000000000000003−3−33
χ952-2-22-222-2-22-22-121121-1-11-2-2-1-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000-222-22-2-222-22-21-2-1-1-2-111-122112-2-1-11-111-10000i3−i3−i3i3−i3i3i3−i3000000000000
χ962-2-22-222-2-22-22-121121-1-11-2-2-1-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000-222-22-2-222-22-21-2-1-1-2-111-122112-2-1-11-111-10000−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
χ984444-4-44444-4-4-2-2-2-2-22222-2-2-2122111-1-1-1-1000000000000000000000000-4-4-4-444-4-4-4-44422222-2-2-2-2222-1-2-2-1-1-11111000000000000000000000000
χ9944-4-40044-4-4004-24-420000-22-4-200-2220000000000000000000000000000-4-44400-4-44400-42-44-200002-242002-2-20000000000000000000000000000
χ10044-4-40044-4-400-2-2-222−2i3−2i32i32i3-2221001-1-1i3i3−i3−i3000000000000000000000000-4-44400-4-44400222-2-22i32i3−2i3−2i32-2-2-100-111−i3−i3i3i3000000000000000000000000
χ10144-4-40044-4-400-2-2-2222i32i3−2i3−2i3-2221001-1-1−i3−i3i3i3000000000000000000000000-4-44400-4-44400222-2-2−2i3−2i32i32i32-2-2-100-111i3i3−i3−i3000000000000000000000000
χ1024-44-4004-44-4004-2-44200002-2-4-2002-220000000000000000000000000000-44-4400-44-4400-424-4-20000-224200-22-20000000000000000000000000000
χ1034-44-4004-44-400-2-22-22−2i32i3−2i32i32-22100-11-1i3−i3i3−i3000000000000000000000000-44-4400-44-440022-22-22i3−2i32i3−2i3-22-2-1001-11−i3i3−i3i3000000000000000000000000
χ1044-44-4004-44-400-2-22-222i3−2i32i3−2i32-22100-11-1−i3i3−i3i3000000000000000000000000-44-4400-44-440022-22-2−2i32i3−2i32i3-22-2-1001-11i3−i3i3−i3000000000000000000000000
χ1054-4-444-44-4-444-4-2-222-2-222-222-21-22-1-111-1-11000000000000000000000000-444-4-44-444-4-4422-2-222-2-22-2-22-12-211-1-111-1000000000000000000000000
χ1064-4-44-444-4-44-44-2-222-22-2-2222-212-2-1-11-111-1000000000000000000000000-444-44-4-444-44-422-2-22-222-2-2-22-1-2211-11-1-11000000000000000000000000
χ107666666-3-3-3-3-3-300000000000000000000000000000000002002-1-1-1-10000-6-6-6-6-6-63333330000000000000000000000000000000000-200-211110000
χ108666666-3-3-3-3-3-30000000000000000000000000000000000-200-211110000-6-6-6-6-6-633333300000000000000000000000000000000002002-1-1-1-10000
χ1096666-6-6-3-3-3-3330000000000000000000000000000000000200-2-1-1110000-6-6-6-6663333-3-30000000000000000000000000000000000-200211-1-10000
χ1106666-6-6-3-3-3-3330000000000000000000000000000000000-200211-1-10000-6-6-6-6663333-3-30000000000000000000000000000000000200-2-1-1110000
χ1116-6-666-6-333-3-3300000000000000000000000000000000000000−i3i3−i3i30000-666-6-663-3-333-300000000000000000000000000000000000000i3−i3i3−i30000
χ1126-6-666-6-333-3-3300000000000000000000000000000000000000i3−i3i3−i30000-666-6-663-3-333-300000000000000000000000000000000000000−i3i3−i3i30000
χ1136-6-66-66-333-33-300000000000000000000000000000000000000−i3i3i3−i30000-666-66-63-3-33-3300000000000000000000000000000000000000i3−i3−i3i30000
χ1146-6-66-66-333-33-300000000000000000000000000000000000000i3−i3−i3i30000-666-66-63-3-33-3300000000000000000000000000000000000000−i3i3i3−i30000
χ1151212-12-1200-6-666000000000000000000000000000000000000000000000000-12-1212120066-6-6000000000000000000000000000000000000000000000000
χ11612-1212-1200-66-66000000000000000000000000000000000000000000000000-1212-1212006-66-6000000000000000000000000000000000000000000000000

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