Finite Group Databasebeta

← Group #13172661

Character table — Group #13172661

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666224412121212366666666666624446666661212121212121212121212121212121244666661212121212121222244666612126121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111111111111111-111-1-11-1-111-1-11-1-1-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-11-1-111-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-11-1-1-1-1111111-1-11111111111-1-11-1-111-111-1-111-1-111-1-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-11-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1111-1-1-1-111-1-111-1-1-111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-11-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-111-1-1-111-1-111-1-1-111-1-1-1-111-111-11
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111111-1-111-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-111-11-11111-1-1-1-11-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-111111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-1-111-1-1111-11-1111-1-1-1-111-11-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11-1-1111-1-111-1-11-11-1111-1-1-1-111-1-11
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-111-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-111-1-1111111-1-1-1-11111111-1-1111-1-111-1-1-1-1-111-1-1-1-111-1111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11111111-111-1-1-1-111111-1-1-11
χ17222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1222022-1-1-1-10000220000000000002-1-1-1-1-1-12-1-1-1-10200200-1-1000-1000
χ18222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22022-1-111000022000000000000-2-1-111-11-2-1-1110-200-200110001000
χ19222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20-2-211-1-10000-2-2000000000000211-1-11-1211-1-10-200-200110001000
χ20222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-211110000-2-2000000000000-2111111-211110200200-1-1000-1000
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χ22222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222000000-111111-1-1-11111-22-2022-1-1110000-2-2000000000000-2-1-1111-1211-1-10-20020011000-1000
χ23222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2000000-111111-1-1-111112-220-2-211-1-1000022000000000000211-1-1-11-2-1-1110-20020011000-1000
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χ2522222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-12202000022-1-1-1-10022-1-1-1-1-1-1-1-100-100-1-102-100-1-100220000000-10-100
χ2622222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-1-2-2020000-2-2-1-1-1-10022-1-1-1-1-1-1-1-100100110-21001100-2-2000000010100
χ2722222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1220-2000022111100-2-21111111100-100-1-102-100-1-100-2-2000000010100
χ2822222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-20000-2-2111100-2-21111111100100110-21001100220000000-10-100
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χ342222-122-1-1222222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-21111-12-1-122-1-1-1-1-1-1-1002-2-1-12200-2-2-2-2-1-11111111111-2-20-1-100200-1-100-2000011001100000
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χ372222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-12222-1-1-1-1-1-211-2-2-1-1-1111100-2-2-1-1220022-2-21111-1-1-1-11111220-1-100-2001100-200001100-1-100000
χ382222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-21111-1-211-2-2-1-1-1111100-22-1-12200-2-22211-1-11111-1-1-1-1-2-20-1-100-200110020000-1-1001100000
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χ402222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-21111-1-211-2-2-1-1-11111002211-2-200-2-222-1-1-1-11111-1-1-1-12201100200-1-100-200001100-1-100000
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χ442-22-2222-2-2-22-22-2-2202220000-2-20000-2-22-22-22-22-22-2-2222000002-2-200000000-22-2200-22000000-2-22200002-20-220000000000000000002-200000
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χ462-22-2-12211-22-22-2-2-10-1-12−i3i30011−i3−i3i3i3112-2-1-2-12-2-2211-1-1-10−i3i300-111−i3−i3i3i30000-112-200-2200−i3i3i3−i311-1-1i3i3−i3−i3-220-1100000−i3i30000000i3−i3001-100000
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χ492-22-2-12211-22-22-2-2-10-1-12i3−i30011i3i3−i3−i3112-2-1-2-12-22-2-1-111-10i3−i300-111i3i3−i3−i30000-112-2002-200i3−i3i3−i3-1-111i3i3−i3−i32-20-1100000i3−i30000000i3−i300-1100000
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χ1098-88-8-4-4-4444-44-444-40222−4i34i300-2-22i32i3−2i3−2i3-2-22-22-2200000000-102i3−2i300-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-44-444-402224i3−4i300-2-2−2i3−2i32i32i3-2-22-22-2200000000-10−2i32i300-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-88-4444-44-80-4-4200004-400004-4-224-2400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
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χ1138-8-88-4-4-44-4-4444-44402220000-226-6-66-22-22-2-2-200000000-10000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-4-4444-44402220000-22-666-6-22-22-2-2-200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

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