Finite Group Databasebeta

← Group #13172654

Character table — Group #13172654

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666662333666666666666666662222666636666666666662244666666666666666666121212122266666612121212121244444661212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-111-1-111-1-1-1111-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-1-1-1111111-1-111111111-1-111-1-111-1-1111-1-1-111-1-11-11-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111111-1-11-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-11-11-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-11-1-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-11-111-1
χ101111111111111111-1111-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-1-1111-1-1-1111-1-111-11-1-11
χ111111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-111111-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1111-1-1111-1-1-1-111111-1-1-11
χ121111111111111111-1111-1-1-1-11111111-1-1-1-11111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-111-1-111-1-1-1111-1
χ131111111111111111-1111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-111-1-1-111-11
χ141111111111111111-1111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-111111-1-1-1-111111-1-11-1
χ151111111111111111-1111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1111-1-11-1-1-1111-1-111-11-11-1
χ161111111111111111-1111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-111-1-1-1-11-11-11
χ17222222-12-1-122222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12002222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-10002-1-10002000-1-1-1-10000000
χ18222222-12-1-122222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1200-2-2-22222-1-111-1-1-1-1-1-1-1-11100-2-20011000-211000-200011110000000
χ19222222-12-1-122222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2221111-1222-1-1-1-1-1-1-1-1-1-200222-2-2-2-211-1-111111111-1-100-2-200-1-10002-1-1000-200011110000000
χ20222222-12-1-122222-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-200-2-2-2-2-2-2-21111111111111100220011000-2110002000-1-1-1-10000000
χ21222222-12-1-122222-1-22-1-1-2-21122-1-1-1-1-111112-12222-1-1-1-1-1-2-2-211-1-1-11111-200-22222-2-211-1-1-1-1-1-1111111002200-1-1000-211000-2000-1-1110000000
χ22222222-12-1-122222-1-22-1-1-2-21122-1-1-1-1-111112-122-2-2-1-1-1-1-1-2-2-211-1-1-11111-2002-2-222-2-21111-1-1-1-11111-1-100-2-200110002-1-1000200011-1-10000000
χ23222222-12-1-122222-1-22-1-1-2-21122-1-1-1-1-111112-1-2-2221111-1-2-2-211-1-1-11111200-222-2-222-1-1-1-11111-1-1-1-11100-2-200-1-1000-211000200011-1-10000000
χ24222222-12-1-122222-1-22-1-1-2-21122-1-1-1-1-111112-1-2-2-2-21111-1-2-2-211-1-1-111112002-2-2-2-222-1-1111111-1-1-1-1-1-1002200110002-1-1000-2000-1-1110000000
χ2522222-12222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1222002222-12-1-122-1-1-1-1-1-1-1222000-1-1-1-12200-1-1-1-1-1-1-1-10022002-100-1-1-1000-1-100202000000-1-1000
χ2622222-12222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1222002222-12-1-122-1-1-1-1-1-1-12-2-2000-1-1-1-12200-1-1-1-1-1-1-1-100-2-200-21001110001100-20-200000011000
χ2722222-12222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2220001111-2-200111111110022002-100-1-1-1000-1-100-20-200000011000
χ2822222-12222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2-2-20001111-2-2001111111100-2-200-21001110001100202000000-1-1000
χ2922222-12222-1-1-1222-2-12-111-2-2-1-122-1-1-11111-1222002222-1-211-2-2-1-1-11111-22-2000-1-111-2-200-1-1-1-1111100-2-2002-100-1-11000110020-2000000-11000
χ3022222-12222-1-1-1222-2-12-111-2-2-1-122-1-1-11111-1222002222-1-211-2-2-1-1-11111-2-22000-1-111-2-200-1-1-1-11111002200-210011-1000-1-100-2020000001-1000
χ3122222-12222-1-1-1222-2-12-111-2-2-1-122-1-1-11111-12-2-200-2-2-2-2-1-211-2-2-1-1-1111122-200011-1-122001111-1-1-1-100-2-2002-100-1-110001100-2020000001-1000
χ3222222-12222-1-1-1222-2-12-111-2-2-1-122-1-1-11111-12-2-200-2-2-2-2-1-211-2-2-1-1-111112-2200011-1-122001111-1-1-1-1002200-210011-1000-1-10020-2000000-11000
χ332222-122-122222-1-122-1-122222-1-1-1-12222222-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-1000000220000000022-1-100-12-1-1-1-12-1-1-1-1-1200200000-1-100-100
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χ352222-122-122222-1-122-1-122222-1-1-1-12222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1022-211000000-2-200000000-2-2-1-100-1211-1-12111-1-1-200-2000001100100
χ362222-122-122222-1-122-1-122222-1-1-1-12222222-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-211000000-2-200000000-2-211001-21111-211111200200000-1-100-100
χ372222-122-122222-1-12-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100220000-111111-1-1-1111102-2-2-1-10000002200000000-2-21100-12-1-1-1-1-211111-2002000001100-100
χ382222-122-122222-1-12-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100220000-111111-1-1-111110-22-2-1-10000002200000000-2-2-1-1001-2-1-1112111-1-1200-200000-1-100100
χ392222-122-122222-1-12-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100-2-20000-111111-1-1-1111102-2211000000-2-200000000221100-1211-1-1-2-1-1-111200-200000-1-100100
χ402222-122-122222-1-12-2-1-12-2-2-2-2-1-1-1-1222-2-2-2-2-1-100-2-20000-111111-1-1-111110-22211000000-2-20000000022-1-1001-211112-1-1-1-1-1-2002000001100-100
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χ442-22-2222-2-2-2-22-22-22022200002-2-2-22-2-20000-22-22-22-2-2222000002-2-200000000-22-220000-22-2-222000000002-200-2200000000000002-2000000000
χ452-22-222-1-211-22-22-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-12-22-2-1-111-1000−i3i3-111−i3−i3i3i300002-22-200−i3i3-11-1-111−i3−i3i3i3−i3i3002-200-110000−i3i30000000-11−i3i30000000
χ462-22-222-1-211-22-22-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-12-2-22-1-111-1000−i3i3-111−i3−i3i3i30000-222-200−i3i31-1-1-111−i3−i3i3i3i3−i300-22001-10000i3−i300000001-1i3−i30000000
χ472-22-222-1-211-22-22-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-1-222-211-1-1-1000−i3i3-111−i3−i3i3i300002-2-2200i3−i3-1111-1-1i3i3−i3−i3−i3i300-2200-110000−i3i300000001-1i3−i30000000
χ482-22-222-1-211-22-22-2-102-1-100−i3i32-211-111−i3−i3i3i3-2-1-22-2211-1-1-1000−i3i3-111−i3−i3i3i30000-22-2200i3−i31-111-1-1i3i3−i3−i3i3−i3002-2001-10000i3−i30000000-11−i3i30000000
χ492-22-222-1-211-22-22-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-12-22-2-1-111-1000i3−i3-111i3i3−i3−i300002-22-200i3−i3-11-1-111i3i3−i3−i3i3−i3002-200-110000i3−i30000000-11i3−i30000000
χ502-22-222-1-211-22-22-2-102-1-100i3−i32-211-111i3i3−i3−i3-2-12-2-22-1-111-1000i3−i3-111i3i3−i3−i30000-222-200i3−i31-1-1-111i3i3−i3−i3−i3i300-22001-10000−i3i300000001-1−i3i30000000
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χ1014-4-44-244-2-44-4-4422-40-2-2400002-22-2-4-4400002200000000-20000022-20000000000000000000000000000000000000000000000000000023−2300000
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χ1098-88-8-4-4-44444-44-44-4022200−4i34i32-2-2-22-2-22i32i3−2i3−2i3-2200000000-10002i3−2i3-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-4-44-444-444402220000-22-22-2-22-666-6-2-200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

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