Finite Group Databasebeta

← Group #13172845

Character table — Group #13172845

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666233366666666666444436666666666666662224666666121212121212121212124444444412121212666666666121212121212122412121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1111111-1-11111-1-1111111-11111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-111111-1-11111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-111-1-11-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-11-1-1-1-111-11111-1-11-1-1-111111-11-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1-111-11-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111-11-1-11111-111-1-1-1-111-1-1-1-1-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-11111-1-111-1-111-1-1111111111-1-1-1-111-1-1111-1-111-1-11111-1-1-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-111-1-1-1-111-1-11111-1-111111111-11111-1-111-1-1-111-1-1-1-11111-1-1-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-11-111-1-1-1-11-1-1111111-1-1-1-1-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-111-111-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11111-1-11-1-1-1-1111-1-1-111111-1-11
χ17222222-1222-1-1-122222-1-12222-1-1-1-12-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-12022220022-1-1-1-10022002200000000000-1-1-1-100-1-12-1-100-1-120-1-10000-1000
χ18222222-1222-1-1-122222-1-12222-1-1-1-12-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-120-2-22200-2-2-1-111002200-2-200000000000-11-1-10011-2-1-10011-201100001000
χ19222222-1222-1-1-122222-1-12222-1-1-1-12-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2022-2-2002211-1-100-2-200-2-2000000000001-11100-1-121100-1-1-201100001000
χ20222222-1222-1-1-122222-1-12222-1-1-1-12-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200-2-2111100-2-200220000000000011110011-211001120-1-10000-1000
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χ23222222-1222-1-1-1222-22-1-1-2-222-1-1-1-12-1-1-2-200-1-21-2-21111-1-1-11111202-2220022111100-2-2002200000000000-1-1-1-100-1-1-2110011-20-1-100001000
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χ2622222-1222-1222-1-122-12-122-1-122-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-102-2-200221100-2-2-1-10022000000-2-20000-10-200-1-111100-1-1110-20011000100
χ2722222-1222-1222-1-122-12-122-1-122-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-10-22200-2-2-1-100221100-2-2000000-2-200001020011-1-1-10011-1-10-20011000100
χ2822222-1222-1222-1-122-12-122-1-122-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-10-2-2-200-2-21100-2-21100-2-200000022000010-200111110011110200-1-1000-100
χ2922222-1222-1222-1-12-2-12-1-2-2-1-122-1-1-12-10022-11-211-2-211-1-1-111110-22-200-2-2-1-100-2-2-1-100220000002200001020011-1-1100-1-1110-200-1-1000100
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χ3122222-1222-1222-1-12-2-12-1-2-2-1-122-1-1-12-100-2-2-11-211-2-211-1-1-11111022-20022-1-100-2-21100-2-2000000-2-20000-10200-1-1-1-11001111020011000-100
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χ352222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1-220011-1-100-2-2002211-1-100-2-2-2-20011112-2011-1-100011-1-100000000110000
χ362222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-1-2-200111100-2-200-2-2111100222200-1-1-1-1-2-201111000111100000000-1-10000
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χ392222-122-1-1222222-1-2-1-1211-1-1-1-122-1-12-2-222-1-2-21111-2-2-1-1-111112-200-1-11100-2-2002211-1-100-2-22200-1-1-1-1-220-1-11100011-1-100000000110000
χ402222-122-1-1222222-1-2-1-1211-1-1-1-122-1-12-2-2-2-2-1-2-21111-2-2-1-1-111112200-1-1-1-100-2-200-2-211110022-2-2001111220-1-1-1-1000111100000000-1-10000
χ4122-2-22222-22-2-22-2-2-20222002-22-22-2-2-2-200002000000002-2-20000000000000000000000002-2002i−2i2i−2i2i2i−2i−2i0000000000000000002-22i−2i000000
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χ492-22-2-12211-22-2-22-2-10-1-12−i3i31111-22-1-1-22-22-2-100−i3i3−i3i3001-11−i3−i3i3i30000−i3i3−i3i3002-2002-2-11-11002-20000−i3i3−i3i3000−i3i3−i3i3000-11-1100000000-110000
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χ522-22-2-12211-22-2-22-2-10-1-12−i3i31111-22-1-1-2-22-22-100−i3i3−i3i3001-11−i3−i3i3i30000i3−i3i3−i300-2200-221-11-1002-20000−i3i3−i3i3000i3−i3i3−i30001-11-100000000-110000
χ532-22-2-12211-22-2-22-2-10-1-12i3−i31111-22-1-1-22-22-2-100i3−i3i3−i3001-11i3i3−i3−i30000i3−i3i3−i3002-2002-2-11-11002-20000i3−i3i3−i3000i3−i3i3−i3000-11-1100000000-110000
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χ5944444-2-244-2-2-2-2-2-24-4-2-21-4-4-2-2-2-211-2-2100001222222-1-1111-1-1-1-1004-40000-2-2002200000000000000000000-200001120000-1-1000000000000
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χ874-4-44444-44-4-44-4-44-4044400-44-44-4-4-4-440000400000000-4-440000000000000000000000000000000000000000000000000000000000000000
χ884-4-4444-2-44-42-22-44-404-2-200-442-222-42-20000-20000000022-20000000000000000−2i32i300000000000000000000000000000000−2i32i3000000000000
χ894-4-4444-2-44-42-22-44-404-2-200-442-222-42-20000-20000000022-200000000000000002i3−2i3000000000000000000000000000000002i3−2i3000000000000
χ904-4-444-24-442-44-42-2-40-24-2002-2-44222-4-20000-20000000022-2000000000000−2i32i300000000000000000000000000000−2i32i30000000000000000000
χ914-4-444-24-442-44-42-2-40-24-2002-2-44222-4-20000-20000000022-20000000000002i3−2i3000000000000000000000000000002i3−2i30000000000000000000
χ924-4-444-2-2-4422-222-2-40-2-21002-22-2-1-1221000010000003-3-1-113-33-300000000−2i32i300−2i32i30000000000000000000000000i3−i300000i3−i3000000000000
χ934-4-444-2-2-4422-222-2-40-2-21002-22-2-1-1221000010000003-3-1-113-33-3000000002i3−2i3002i3−2i30000000000000000000000000−i3i300000−i3i3000000000000
χ944-4-444-2-2-4422-222-2-40-2-21002-22-2-1-122100001000000-33-1-11-33-3300000000−2i32i3002i3−2i30000000000000000000000000i3−i300000−i3i3000000000000
χ954-4-444-2-2-4422-222-2-40-2-21002-22-2-1-122100001000000-33-1-11-33-33000000002i3−2i300−2i32i30000000000000000000000000−i3i300000i3−i3000000000000
χ964-4-44-2442-2-4-44-4-4420-2-24002-22-2-4-42240000-20000000022-20000000000000000000000000000000023−23−23230000000000000000000000000000
χ974-4-44-2442-2-4-44-4-4420-2-24002-22-2-4-42240000-20000000022-200000000000000000000000000000000−232323−230000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-48-8-444-444-80-4-4200-44-442-244-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-44844-4-8-840-42-400-442-2-444-2400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-44-4-8-8844402-4-4002-2-44-44-24400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-444-44440222002-22-22-2-2-2-20000-100000000-111−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-44-444-44440222002-22-22-2-2-2-20000-100000000-1113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-4-8-84-444-4480-4-42004444-22-4-4-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-444-44-40222−4i34i3-2-2-2-2-2222-20000-1002i3−2i32i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-444-44-402224i3−4i3-2-2-2-2-2222-20000-100−2i32i3−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-4-84-44-8840-42-4004-4-22444-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-44-88-84-4402-4-400-224-444-24-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-444-444-44022200-22-22-2-2-2-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-444-444-44022200-22-22-2-2-2-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000

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