Finite Group Databasebeta

← Group #13172678

Character table — Group #13172678

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666224444121212123666666666666244666666121212121212121212121212121212122222666661212121212121224446666121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111-1-1111111111111111111-1-1-111-1-11-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11-11-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111-1-11111111111-1-1-1-11-1-111-111-1-1111-11-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-111-1-111-1-1-1111-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111111-1-111111-1-1-1-1-1111-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-11-1-1-1-111-1-111-11
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111111-1-111-1-111-1-1-1-11111111111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-11
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-1-111-1-111-111-111-1-1-1-111-111-1
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1-1111-1-111-1-1-111-111-1-1-1-1-1-1-1111
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111111111-1-1-11111-1-1111-1-1-1
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-11-1-1-1-1111111-1-1
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-11111111-1-111-1-11111-1-1-1-111
χ17222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1000022000000000000222-1-1-1-1-1-12-1-1-1-1020000-1-100000-100
χ18222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-111000022000000000000-2-2-2-1-111-11-2-1-1110-200001100000100
χ19222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-211-1-10000-2-2000000000000-2-2211-1-11-1211-1-10-200001100000100
χ20222222-1222-1-12-12222-1-12222222222-1-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211110000-2-200000000000022-2111111-21111020000-1-100000-100
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χ22222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-122200000000-111111-1-1-11111-22-222-1-1110000-2-2000000000000-2-2-2-1-1111-1211-1-10200001100000-100
χ23222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-111112-22-2-211-1-1000022000000000000-2-2211-1-1-11-2-1-1110200001100000-100
χ24222222-1222-1-12-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-200000000-111111-1-1-11111-222-2-2111100002200000000000022-21111-1-12-1-1-1-10-20000-1-100000100
χ2522222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1220000022-1-1-1-10022-1-1-1-1-1-1-1-10000-100-1-102-100-1-1202000000000-10-10
χ2622222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-10022222222-1222-1-1-1-1-1-1-1-1-1-2-200000-2-2-1-1-1-10022-1-1-1-1-1-1-1-10000100110-210011-20-20000000001010
χ2722222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1220000022111100-2-2111111110000-100-1-102-100-1-1-20-20000000001010
χ2822222-1222-122-12-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-200000-2-2111100-2-2111111110000100110-210011202000000000-10-10
χ2922222-1222-122-12-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-111112-20000022-1-11100-2-2-1-1-1-111110000-100-1-10-210011-20200000000010-10
χ3022222-1222-122-12-12-2-12-1-2-211-1-1111122-1-12-1-10022-2-22222-1-2-2-211-1-1-11111-2200000-2-2-1-11100-2-2-1-1-1-1111100001001102-100-1-120-2000000000-1010
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χ332222-122-1-1222222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1002-1-122002222-1-1-1-1-1-1-1-1-1-1-1-122000-1-100200-1-1000002-1-100-1-1000000
χ342222-122-1-1222222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1002-1-12200-2-2-2-2-1-11111111111-2-2000-1-100200-1-100000-2110011000000
χ352222-122-1-1222222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-100-211-2-200222211-1-1-1-1-1-1-1-1-1-1-2-20001100-2001100000-2110011000000
χ362222-122-1-1222222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-211-2-200-2-2-2-2111111111111220001100-20011000002-1-100-1-1000000
χ372222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-1111100-2-1-1220022-2-21111-1-1-1-11111-2-2000-1-100-200110000021100-1-1000000
χ382222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-2221111-1-211-2-2-1-1-1111100-2-1-12200-2-22211-1-11111-1-1-1-122000-1-100-2001100000-2-1-10011000000
χ392222-122-1-1222222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-1111100211-2-20022-2-2-1-111-1-1-1-11111220001100200-1-100000-2-1-10011000000
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χ4122-2-22222-22-2-2-22-2-2022200002-200002-22-2-2-2-2002i−2i002i2i−2i−2i2000002-2-200000000000002i−2i0000002i2i−2i−2i0000002-20000000000000000002-2002i−2i0000
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χ452-2-22222-2-2-22-22-2-2202220000-2-20000-2-2-222-222-2002-20000200000-22-200000002-22-200002-2002-2000022-2-22-20002-200000000000002-20000000000
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χ492-2-22-12211-22-22-2-2-10-1-12−i3i30011−i3−i3i3i311-22-1-2-12-2002-2−i3i3−i3i3-10−i3i3001-11−i3−i3i3i3000-112-200002-2−i3i3-11−i3i3−i3i3-1-1112-2000-1100000−i3i3000000-1100−i3i3000000
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χ1178-8-88-4-4-4444-44-444-402224i3−4i300-2-2−2i3−2i32i32i3-2-2-222-220000000000-10−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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