Finite Group Databasebeta

← Group #72220347

Character table — Group #72220347

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11222222224444444444446666888888889999121212121212121212121212121212121212121216161818181818181818181818182424242424242424242424242424242436363636363636363636363654545454727272728181108108108108
order1233336666333333666666444433336666222212121212121212121212121212121212121212123644446666666612121212121212121212121212121212666612121212121212124444121212122212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11111111111-1-1111111111-1-1-1111111-1-11111-1-11111-1-1-1-1111111-1-1111111-1-111-1-11111-1-1-1-11-1-1-111-1-1-1-11-1-1-1
χ3111111111111111111111111-111111111111-1-1111111-1-1-11111111-1-11111-1-1111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-11-1-1-1-111-1-1-11-1-1
χ4111111111111111111111111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ511111111111111111111111-11111111111-1-111111-1-1-111111111-1-11111111-11-1-1-1-1-1111111-1-1111111-1-11111-1-11111-1-111-1-1-1-11-11-11-1-1-1-1-11-1
χ611111111111111111111111-11-111111111-1-1-1-1111-1-1-1111-1-1-111-1-111-1-1111-1-11-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-111-11-111-1-1111-11-11
χ711111111111111111111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11-1-11-111-1111-1-11
χ811111111111111111111111-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111-1-11-11-1-1111-1
χ91111111111111111111111-111111111111-1-111-1-1-1111111111-1-111111111-11-11-1-1-1-11111-1-1111111-1-1111111-1-111-1-111-1-111-1-1-11-11-11-1-1-1-1-11
χ101111111111111111111111-111-111111111-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-111-111-111-1
χ111111111111111111111111-11-1111111111-1-1-1-1-1-1-1111-1-1-1111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111-11-11-1-11111-11-1
χ121111111111111111111111-11-1-111111111-1-111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-111-11-1-1-111-11
χ131111111111111111111111-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ141111111111111111111111-1-11-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-111-1-11-111
χ151111111111111111111111-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-1-1-1-1111
χ161111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
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χ302222-1222-122-12-1-12-122-12-1-220-2-12-1-1-12-1-1-2-200-2-212-12000-21-211-1-100-2-2-1-1002-2-2-2110000-212-1001111-1-10011110000002-11-2020000-11000-100
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χ37222-1222-122-12-12-12-12-12-12-2220-1-12-1-1-12-1-2-200-21-2-1222-1200011-1-12200-1-1-220011-2-200001-2-12-1-10011-1-1-1-1001100-21-120000-20001-100001000
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χ40222-1222-122-12-12-12-12-12-12-2-2-20-1-12-1-1-12-12200-21-21-2-2-21-20001111-2-200-1-12200-1-12200001-21-2110011111100-1-1002-1-120000-2000-1-100001000
χ4122-1222-1222-1-1222-12-1-1-1222022-1-1-12-1-1-120022-122000-122-1222200-1-1-1-1-1-120200000-1-122-1-100-12-12-1-100-1-1-1-100-1-1-1200-12000020-10-100000-10
χ4222-1222-1222-1-1222-12-1-1-122202-2-1-1-12-1-1-1200-2-2-122000-1221-2-22200-1-111-1-120-20000011-2-2-1-100-121-2-1-100-1-1110011-12001-20000-20-1010000010
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χ4522-1222-1222-1-1222-12-1-1-122-2022-1-1-12-1-1-1200221-2-2000-122-122-2-200-1-1-1-1-1-1-20-200000-1-1221100-12-121100-1-1-1-100-1-11-2001-20000-201010000010
χ4622-1222-1222-1-1222-12-1-1-122-202-2-1-1-12-1-1-1200-2-21-2-2000-1221-2-2-2-200-1-111-1-1-2020000011-2-21100-121-21100-1-11100111-200-1200002010-100000-10
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χ4822-1222-1222-1-1222-12-1-1-122-20-2-2-1-1-12-1-1-1200221-2-20001-2-21-2-2-2-2001111-1-120200000-1-12211001-21-21100111100-1-1-1200-120000-20-10-10000010
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χ924-4-244-22-4-42-2-2-2-241-4-122220000-211-22-1-1200-440000000000000000−3i3i3i−3i1-1000000002-22-2000000000000−3i3i3i−3i00-110000000000000000000000
χ93888-4-4-48-4-4-4-4-4222-42-4-4-4220800222-1222-10000000-4-4-400000000220000-1-10000000000000022000000-1-1000000000000000000000000000000
χ94888-4-4-48-4-4-4-4-4222-42-4-4-4220-800222-1222-1000000044400000000-2-20000-1-100000000000000-2-200000011000000000000000000000000000000
χ9588-48-4-4-48-4-4-42-42-42-42-42-42000822-1222-120000000000000-4-4-400000022-1-100000000000000000022000000-1-100000000000000000000000000
χ9688-48-4-4-48-4-4-42-42-42-42-42-42000-822-1222-120000000000000444000000-2-2-1-1000000000000000000-2-20000001100000000000000000000000000
χ9788-4-48-4-4-48-42-42-4-42-422-42-400802-1222-1220000000000-4-4-400000002200-1-1000000000000000022000000-1-10000000000000000000000000000
χ9888-4-48-4-4-48-42-42-4-42-422-42-400-802-1222-12200000000004440000000-2-200-1-10000000000000000-2-2000000110000000000000000000000000000
χ9988-4-4-48-4-4-4822-4-42-42-422-4-48000-1222-12220000-4-4-400000000022000000-1-100000000000022000000-1-100000000000000000000000000000000
χ10088-4-4-48-4-4-4822-4-42-42-422-4-4-8000-1222-12220000444000000000-2-2000000-1-1000000000000-2-20000001100000000000000000000000000000000
χ1018-888-4-4-8-8448-4-42-4-444-844-20000-4-42244-2-20000000000000000000000002-2000000000000000000000000000000000000000000000000000000
χ1028-88-48-4-84-84-482-4-4-4444-8-240000-42-424-24-20000000000000000000000002-2000000000000000000000000000000000000000000000000000000
χ1038-88-4-4-4-8444-4-4222-4-2444-2-20000222-1-2-2-210000000000000000006i−6i0000-110000000000000000000000−3i3i000000000000000000000000000000
χ1048-88-4-4-4-8444-4-4222-4-2444-2-20000222-1-2-2-21000000000000000000−6i6i0000-1100000000000000000000003i−3i000000000000000000000000000000
χ1058-8-48-484-84-8-428-4-4-4444-2-8400002-42-4-24-240000000000000000000000002-2000000000000000000000000000000000000000000000000000000
χ1068-8-48-4-44-844-42-42-424-24-24-2000022-12-2-21-200000000000000000000006i−6i-1100000000000000000000000000−3i3i00000000000000000000000000
χ1078-8-48-4-44-844-42-42-424-24-24-2000022-12-2-21-20000000000000000000000−6i6i-11000000000000000000000000003i−3i00000000000000000000000000
χ1088-8-4-48844-8-82-4-48-4-444-244-8000022-4-4-2-2440000000000000000000000002-2000000000000000000000000000000000000000000000000000000
χ1098-8-4-48-444-842-42-4-424-2-24-2400002-122-21-2-2000000000000000000006i−6i00-11000000000000000000000000−3i3i0000000000000000000000000000
χ1108-8-4-48-444-842-42-4-424-2-24-2400002-122-21-2-200000000000000000000−6i6i00-110000000000000000000000003i−3i0000000000000000000000000000
χ1118-8-4-4-48444-822-4-42-4-24-2-2440000-12221-2-2-200000000000000006i−6i000000-1100000000000000000000−3i3i00000000000000000000000000000000
χ1128-8-4-4-48444-822-4-42-4-24-2-2440000-12221-2-2-20000000000000000−6i6i000000-11000000000000000000003i−3i00000000000000000000000000000000
χ1131616-8-8-8-8-8-8-8-84444444444440000-2-2-2-2-2-2-2-200000000000000000000000011000000000000000000000000000000000000000000000000000000
χ11416-16-8-8-8-88888444444-4-4-4-4-4-40000-2-2-2-222220000000000000000000000001-1000000000000000000000000000000000000000000000000000000

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