Finite Group Databasebeta

← Group #13172669

Character table — Group #13172669

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666233366666666666222236666666666666662444666666666612121212121222444444121212126666666121212121212121212446612121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-111111111-1-1-1-11111-1-11111-1-11111-11111-1-11-111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-11111-1-111-11-1-111-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-11-111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-111111-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-11-1-111-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1-1-1-111-11-1-1-1-1-111-1-1-1-1-1-111-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-111-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-11-1-1-1-1-1111-1-1-111111-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111111111-111-1-1-1-111-1-1-11111-1-11111-1-1-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1111111111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-11-1-1-1-1111-111111-1-11-1-1-111111-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-111-11-11
χ17222222-1222-1-1-122222-1-12222-1-1-1-12-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-12022000022-1-1-1-1220022220000000000200-1-1-1-1-1-1000-1-1-1-120-1-10000-1000
χ18222222-1222-1-1-122222-1-12222-1-1-1-12-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1-202-2000022-1-111-2-20022-2-20000000000-200-1-111-11000-1-111-201100001000
χ19222222-1222-1-1-122222-1-12222-1-1-1-12-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-120-220000-2-211-1-12200-2-2-2-2000000000020011-1-11-100011-1-1-201100001000
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χ23222222-1222-1-1-1222-22-1-1-2-222-1-1-1-12-1-100-2-2-1-21-2-21111-1-1-11111202-20000-2-211-1-1-2-20022-2-2000000000020011-1-1-11000-1-11120110000-1000
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χ2622222-1222-1222-1-122-12-122-1-122-1-1-12-12200-1-12-1-122-1-1-1-1-1-1-1-1-1-220-222-1-10000-2-2112200000000-2-200001-1-100110-2-1-1-100110-20011000100
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χ2822222-1222-1222-1-122-12-122-1-122-1-1-12-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-2-2-2110000-2-211-2-20000000022000011100110-211100110200-1-1000-100
χ2922222-1222-1222-1-12-2-12-1-2-2-1-122-1-1-12-12200-11-211-2-211-1-1-111112-20-222-1-100002211-2-200000000-2-20000-1-1-100-1-10-21110011020011000-100
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χ362222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2-2011-2-211-2-20000111100222200-1-1-1-10111100-20-2111100000000-1-10000
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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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χ522-22-2-12211-22-2-22-2-10-1-12−i3i31111-22-1-1-2-22-22-100−i3i3−i3i3001-11−i3−i3i3i300001-1-221-1-220000i3−i3i3−i3002-20000−i3i3−i3i301-11-100000i3−i3i3−i300000000-110000
χ532-22-2-12211-22-2-22-2-10-1-12i3−i31111-22-1-1-22-22-2-100i3−i3i3−i3001-11i3i3−i3−i30000-112-2-112-20000i3−i3i3−i3002-20000i3−i3i3−i30-11-1100000i3−i3i3−i300000000-110000
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χ884-4-4444-2-44-42-22-44-404-2-200-442-222-42-20000-20000000022-20000000000000000−2i32i300000000000000000000000−2i32i3000000000000000000000
χ894-4-4444-2-44-42-22-44-404-2-200-442-222-42-20000-20000000022-200000000000000002i3−2i3000000000000000000000002i3−2i3000000000000000000000
χ904-4-444-24-442-44-42-2-40-24-2002-2-44222-4-20000-20000000022-2000000000000000000−2i32i3000000000000000000000000000000−2i32i3000000000000
χ914-4-444-24-442-44-42-2-40-24-2002-2-44222-4-20000-20000000022-20000000000000000002i3−2i30000000000000000000000000000002i3−2i3000000000000
χ924-4-444-2-2-4422-222-2-40-2-21002-22-2-1-1221000010000003-3-1-113-33-3000000000000−2i32i3−2i32i3000000000000000000000i3−i30000000i3−i3000000000000
χ934-4-444-2-2-4422-222-2-40-2-21002-22-2-1-1221000010000003-3-1-113-33-30000000000002i3−2i32i3−2i3000000000000000000000−i3i30000000−i3i3000000000000
χ944-4-444-2-2-4422-222-2-40-2-21002-22-2-1-122100001000000-33-1-11-33-33000000000000−2i32i32i3−2i3000000000000000000000i3−i30000000−i3i3000000000000
χ954-4-444-2-2-4422-222-2-40-2-21002-22-2-1-122100001000000-33-1-11-33-330000000000002i3−2i3−2i32i3000000000000000000000−i3i30000000i3−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).