Finite Group Databasebeta

← Group #13152086

Character table — Group #13152086

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
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order12222236666633666666666636666666662222666666662444661212121212122222226666666666666666666666666666222266666666244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-11111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
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χ812-22-2002-22-20022-2-22-20000-22200-22-200002-2002-22-20000000000000000-22-2200-22-2200-2-222-2200002-2-2002-220000-2200-22-220000000000000000
χ822-22-2002-22-20022-2-22-20000-22200-22-20000-2200-22-220000000000000000-22-2200-22-2200-2-222-2200002-2-2002-2200002-2002-22-20000000000000000
χ832-22-2002-22-2002-1-21-11−i3i3−i3i3-22-1001-11−i3i3−i3i32-200-11-11−i3i3−i3i3000000000000-22-2200-22-2200-212-11-1i3−i3i3−i32-2100-11-1i3−i3i3−i3-22001-11-1i3−i3i3−i3000000000000
χ842-22-2002-22-2002-1-21-11−i3i3−i3i3-22-1001-11−i3i3−i3i3-22001-11-1i3−i3i3−i3000000000000-22-2200-22-2200-212-11-1i3−i3i3−i32-2100-11-1i3−i3i3−i32-200-11-11−i3i3−i3i3000000000000
χ852-22-2002-22-2002-1-21-11i3−i3i3−i3-22-1001-11i3−i3i3−i32-200-11-11i3−i3i3−i3000000000000-22-2200-22-2200-212-11-1−i3i3−i3i32-2100-11-1−i3i3−i3i3-22001-11-1−i3i3−i3i3000000000000
χ862-22-2002-22-2002-1-21-11i3−i3i3−i3-22-1001-11i3−i3i3−i3-22001-11-1−i3i3−i3i3000000000000-22-2200-22-2200-212-11-1−i3i3−i3i32-2100-11-1−i3i3−i3i32-200-11-11i3−i3i3−i3000000000000
χ872-2-222-22-2-222-2222-2-222-2-22-2-222-2-2-222-2-22000000000000000000000000-222-2-22-222-2-22-2-2-222-2-222-222-2-2222-2-222-2000000000000000000000000
χ882-2-222-22-2-222-22-1211-1-111-1-2-2-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000-222-2-22-222-2-22-21-2-1-111-1-11221-22-1-111-1-110000i3−i3−i3i3i3−i3−i3i3000000000000
χ892-2-222-22-2-222-22-1211-1-111-1-2-2-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000-222-2-22-222-2-22-21-2-1-111-1-11221-22-1-111-1-110000−i3i3i3−i3−i3i3i3−i3000000000000
χ902-2-222-22-2-222-2-12-1-2-222-2-2211-1-1111-1-111-1000000000000000000003−33−3-222-2-22-222-2-221-2122-2-222-2-1-111-1-1-111-1-1100000000000000000000−33−33
χ912-2-222-22-2-222-2-12-1-2-222-2-2211-1-1111-1-111-100000000000000000000−33−33-222-2-22-222-2-221-2122-2-222-2-1-111-1-1-111-1-11000000000000000000003−33−3
χ922-2-22-222-2-22-22222-2-22-222-2-2-22-22-2-22-222-2000000000000000000000000-222-22-2-222-22-2-2-2-222-22-2-2222-22-222-22-2-22000000000000000000000000
χ932-2-22-222-2-22-222-1211-11-1-11-2-2-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000-222-22-2-222-22-2-21-2-1-11-111-12212-2-1-11-111-10000i3−i3−i3i3−i3i3i3−i3000000000000
χ942-2-22-222-2-22-222-1211-11-1-11-2-2-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000-222-22-2-222-22-2-21-2-1-11-111-12212-2-1-11-111-10000−i3i3i3−i3i3−i3−i3i3000000000000
χ952-2-22-222-2-22-22-12-1-2-22-222-211-11-111-11-1-11000000000000000000003−3−33-222-22-2-222-22-21-2122-22-2-22-1-11-11-1-11-111-100000000000000000000−333−3
χ962-2-22-222-2-22-22-12-1-2-22-222-211-11-111-11-1-1100000000000000000000−333−3-222-22-2-222-22-21-2122-22-2-22-1-11-11-1-11-111-1000000000000000000003−3−33
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
χ984444-4-44444-4-4-2-2-2-2-2-22222-2-2122111-1-1-1-1000000000000000000000000-4-4-4-444-4-4-4-444222222-2-2-2-222-1-2-2-1-1-11111000000000000000000000000
χ9944-4-40044-4-400-2424-4-40000-22-200-2220000000000000000000000000000-4-44400-4-444002-4-2-44400002-22002-2-20000000000000000000000000000
χ10044-4-40044-4-400-2-22-222−2i3−2i32i32i3-221001-1-1i3i3−i3−i3000000000000000000000000-4-44400-4-4440022-22-2-22i32i3−2i3−2i32-2-100-111−i3−i3i3i3000000000000000000000000
χ10144-4-40044-4-400-2-22-2222i32i3−2i3−2i3-221001-1-1−i3−i3i3i3000000000000000000000000-4-44400-4-4440022-22-2-2−2i3−2i32i32i32-2-100-111i3i3−i3−i3000000000000000000000000
χ1024-44-4004-44-400-242-44-400002-2-2002-220000000000000000000000000000-44-4400-44-44002-4-24-440000-22200-22-20000000000000000000000000000
χ1034-44-4004-44-400-2-222-22−2i32i3−2i32i32-2100-11-1i3−i3i3−i3000000000000000000000000-44-4400-44-440022-2-22-22i3−2i32i3−2i3-22-1001-11−i3i3−i3i3000000000000000000000000
χ1044-44-4004-44-400-2-222-222i3−2i32i3−2i32-2100-11-1−i3i3−i3i3000000000000000000000000-44-4400-44-440022-2-22-2−2i32i3−2i32i3-22-1001-11i3−i3i3−i3000000000000000000000000
χ1054-4-444-44-4-444-4-2-2-222-2-222-2221-22-1-111-1-11000000000000000000000000-444-4-44-444-4-44222-2-222-2-22-2-2-12-211-1-111-1000000000000000000000000
χ1064-4-44-444-4-44-44-2-2-222-22-2-222212-2-1-11-111-1000000000000000000000000-444-44-4-444-44-4222-2-22-222-2-2-2-1-2211-11-1-11000000000000000000000000
χ107666666-3-3-3-3-3-300000000000000000000000000000000002200-1-1-1-10000-6-6-6-6-6-63333330000000000000000000000000000000000-2-20011110000
χ108666666-3-3-3-3-3-30000000000000000000000000000000000-2-20011110000-6-6-6-6-6-633333300000000000000000000000000000000002200-1-1-1-10000
χ1096666-6-6-3-3-3-33300000000000000000000000000000000002-200-1-1110000-6-6-6-6663333-3-30000000000000000000000000000000000-220011-1-10000
χ1106666-6-6-3-3-3-3330000000000000000000000000000000000-220011-1-10000-6-6-6-6663333-3-300000000000000000000000000000000002-200-1-1110000
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).