Finite Group Databasebeta

← Group #13172679

Character table — Group #13172679

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666233366666666666224436666666666666662244666666661212121212121212222222446666666666661212121212121212246666121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-111111111-1-1-1-111111-11111-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-111-1111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-11-1-1-1-1-1111-111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111111-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-11111-1-11-11-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-1-11111-11-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111111-11111-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-1-1-111-1-11111-1-111-1-1-1-11111-11-1-1-1-1111-11111-1-111-1-1-1-1-1-111-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-111111-111-1-1-1-1-11-1-11111-111-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-11111-1-1111-11111-1-11-1-11
χ17222222-1-1-12222-12222-1-1-1-122-1-1-1-12-1-12222-12222-1-1-1-1-1-1-1-1-1-1-120022200-1-1-1-12200-1-1-1-122220000-1-1-1-120-1-1-1-10020-1-1-1-1000000-1-1000000
χ18222222-1-1-12222-12222-1-1-1-122-1-1-1-12-1-122-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-20022200-1-111-2-200-1-111-2-2-2-200001111-20-1-1110020-1-11100000011000000
χ19222222-1-1-12222-12222-1-1-1-122-1-1-1-12-1-1-2-222-12222-1-1-1-1-1-1-1-1-1-1-1200-2-2-20011-1-1220011-1-1-2-2-2-2000011112011-1-100-2011-1-100000011000000
χ20222222-1-1-12222-12222-1-1-1-122-1-1-1-12-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2001111-2-200111122220000-1-1-1-1-20111100-201111000000-1-1000000
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χ23222222-1-1-12222-122-22-1-11122-1-1-1-12-1-1-2-222-1-2-2-2-21111-1-1-11111-2002-2-20011112200-1-1-1-1-2-2220000-1-1-1-1-2011110020-1-1-1-100000011000000
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χ2522222-122222-1-122-12-12-122-1-122-1-1-12-10022-12-1-1-122-1-1-1-1-1-1-1-1-1222000220022-1-1-1-10022000000220000-1-100-1-1-1-10200-1-1-1-1200000-1-1-1000
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χ2822222-122222-1-122-12-12-122-1-122-1-1-12-100-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2000-2-200-2-2111100-2-2000000220000110011110-2001111200000-1-1-1000
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χ342222-12222-1-1222-122-1-1222-1-1-1-122-1-122200-1-12-1-1-1-122-1-1-1-1-1-1-10-2-22-1-111220000-2-222000000-2-20000000-2-1-10011-11-1-100110-21100000100
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χ362222-12222-1-1222-122-1-1222-1-1-1-122-1-12-2-200-1-12-1-1-1-122-1-1-1-1-1-1-10-2-2-21111-2-20000-2-2-2-2000000220000000-21100111111001102-1-100000-100
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χ382222-12222-1-1222-12-2-1-12-2-2-1-1-1-122-1-122200-11-21111-2-2-1-1-111110-22-2-1-11122000022-2-2000000-2-20000000-2-1-100111-11100-1-1021100000-100
χ392222-12222-1-1222-12-2-1-12-2-2-1-1-1-122-1-12-2-200-11-21111-2-2-1-1-1111102-2211-1-1-2-20000-2-222000000-2-2000000021100-1-1-11-1-10011021100000-100
χ402222-12222-1-1222-12-2-1-12-2-2-1-1-1-122-1-12-2-200-11-21111-2-2-1-1-111110-2221111-2-200002222000000220000000-2110011-1-1-1-100-1-10-2-1-100000100
χ412-22-2222-2-22-22-22-2-20222002-2-2-2-2-2-2222-22-22000000002-2-2000000002-2002-2002-200002-22-20000000000002-2000000002-20000002-2000000
χ422-22-2222-2-22-22-22-2-20222002-2-2-2-2-2-2222-2-222000000002-2-2000000002-2002-200-220000-22-220000000000002-200000000-22000000-22000000
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χ472-22-222-1112-22-2-1-2-202-1-1i3−i32-21111-2-1-1-222-2-10000i3−i3i3−i3-111i3i3−i3−i30000-22001-1i3−i32-200−i3i3-11-22000000−i3−i3i3i3001-1i3−i30000−i3i3-110000001-1000000
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χ874-44-4-244-4-4-224-442-40-2-2400-2222-4-42-24-4400-200000000-222000000002-200-440000000000000000000000002-2000000000000000000000000
χ884-44-4-24-222-224-4-22-40-21-22i3−2i3-22-1-12221-24-40010000−i3i32i3−2i31-1-1−i3−i3i3i30000-2200-220000002i3−2i300000000000000001-1000000−i3i30000000000000000
χ894-44-4-24-222-224-4-22-40-21-22i3−2i3-22-1-12221-2-440010000−i3i32i3−2i31-1-1−i3−i3i3i300002-2002-2000000−2i32i30000000000000000-11000000i3−i30000000000000000
χ904-44-4-24-222-224-4-22-40-21-2−2i32i3-22-1-12221-24-40010000i3−i3−2i32i31-1-1i3i3−i3−i30000-2200-22000000−2i32i300000000000000001-1000000i3−i30000000000000000
χ914-44-4-24-222-224-4-22-40-21-2−2i32i3-22-1-12221-2-440010000i3−i3−2i32i31-1-1i3i3−i3−i300002-2002-20000002i3−2i30000000000000000-11000000−i3i30000000000000000
χ924-4-4444-2-22-4-4-4-424404-2-200-44-22-22-4220000-2000000002-22000000000000000000000000004-40000-22-220000000000000000000000000000
χ934-4-4444-2-22-4-4-4-424404-2-200-44-22-22-4220000-2000000002-2200000000000000000000000000-4400002-22-20000000000000000000000000000
χ944-4-444-244-4-4-422-44-20-24-2002-24-4-222-420000-2000000002-220000000000000000000000000000004-400000000000000000000000000-220000
χ954-4-444-244-4-4-422-44-20-24-2002-24-4-222-420000-2000000002-22000000000000000000000000000000-44000000000000000000000000002-20000
χ964-4-44-2444-422-4-4-4-240-2-24002-2-224-422-40000-2000000002-2200000000000000000000000000004-4000000000000000000000000-2200000000
χ974-4-44-2444-422-4-4-4-240-2-24002-2-224-422-40000-2000000002-220000000000000000000000000000-440000000000000000000000002-200000000
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
χ10088-8-88-4-44-4-884-44-840-4-4200444-4-22-44-20000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44-44-4-8844-80-42-40044-224-4-4-240000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44-44-44-4444022200-2-2-22-222-2-20000-1006-6000011-1-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44-44-44-4444022200-2-2-22-222-2-20000-100-66000011-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-8-8-44-4484402-4-4002-24444-2-4-400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-44-44-44402224i3−4i32-2-2-2-2-2-2220000-10000−2i32i3−2i32i3-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44-44-4440222−4i34i32-2-2-2-2-2-2220000-100002i3−2i32i3−2i3-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-44-8-84448-40-4-42004-4-442-244-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-4444-8-84-480-42-4004-42-2-444-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-488-84444-8-4-402-4-400-22-44-44-2440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4444444-4-4022200-222-22-2-2-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4444444-4-4022200-222-22-2-2-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000

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