Finite Group Databasebeta

← Group #13168080

Character table — Group #13168080

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212222222666636661212121212121212444666666666666661212121212121212121212124412121212666612121212121222444666612124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11-111-1-11-1-11-111-1-1-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111-11-1111-1-111-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-11111-1-111111111111111-1-11-111-1-1-11-1-11-1-111-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-11-1-111-1111-1-1-11111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111-1-1-11111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-111-11-1-111-11-1-11-1-111-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-111-1-11-11-1111-1-11111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111111111111111-1-111-11-1-1111-1-11-111-1-1-1-1-1-11-11
χ17222222-1222-1-12-122222-1-12-1-1-1-12-1-1222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1000000-1-1-1-100000022000-1-1-1-10000000
χ18222222-1222-1-12-122222-1-12-1-1-1-12-1-1222-1-122-1-1-1-12222-2-21111-1-1-1-122-1-1-1-1-1-100-2-2-22222-1-1-1-11111110000-2-21111000000-1-1-1-1000000-2-200011110000000
χ19222222-1222-1-12-122222-1-12-1-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-1-1-100222-2-2-2-21111-1-1-1-1-1-1000022-1-1-1-10000001111000000-2-200011110000000
χ20222222-1222-1-12-122222-1-12-1-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-211111111110000-2-21111000000111100000022000-1-1-1-10000000
χ21222222-1-2-22-1-12-122222-1-12-1-1-1-12-1-12-2-211-2-2111122-2-222-1-1-1-1-1-1-1-1-2-211111100-22222-2-2-1-111-1-1-1-1110000-2-21111000000-1-1110000002-2000-1-1110000000
χ22222222-1-2-22-1-12-122222-1-12-1-1-1-12-1-12-2-211-2-2111122-2-2-2-21111-1-1-1-1-2-2111111002-2-222-2-2-1-1111111-1-1000022-1-1-1-1000000-1-111000000-2200011-1-10000000
χ23222222-1-2-22-1-12-122222-1-12-1-1-1-12-1-12-2-211-2-21111-2-22222-1-1-1-1-1-1-1-1-2-211111100-222-2-22211-1-1-1-1-1-1110000-2-2111100000011-1-1000000-2200011-1-10000000
χ24222222-1-2-22-1-12-122222-1-12-1-1-1-12-1-12-2-211-2-21111-2-222-2-21111-1-1-1-1-2-2111111002-2-2-2-22211-1-11111-1-1000022-1-1-1-100000011-1-10000002-2000-1-1110000000
χ2522222-1222222-122-1-12-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-122000-1-1-1-12222000000-1-1-1-100000022-1-1-1-1-1-1-1-122-1-1-1-1002000000-1-100000
χ2622222-1222222-122-1-12-12-1-122-1-1-1-12-1-1-1222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2000-1-1-1-122220000001111000000-2-21111-1-1-1-1-2-2111100-20000001100000
χ2722222-1222222-122-1-12-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1220001111-2-2-2-2000000-1-1-1-1000000-2-21111111122-1-1-1-100-20000001100000
χ2822222-1222222-122-1-12-12-1-122-1-1-1-12-1-1-122222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20001111-2-2-2-2000000111100000022-1-1-1-11111-2-21111002000000-1-100000
χ2922222-12-2-2222-122-1-12-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-1111111112-2000-1-11122-2-2000000-1-11100000022-1-1-1-1-1-1112-2-1-11100-20000001100000
χ3022222-12-2-2222-122-1-12-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-222-2-2000000-1-1-1-111111111-22000-1-11122-2-200000011-1-1000000-2-21111-1-111-2211-1-1002000000-1-100000
χ3122222-12-2-2222-122-1-12-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-1111111112-200011-1-1-2-222000000-1-111000000-2-2111111-1-12-2-1-111002000000-1-100000
χ3222222-12-2-2222-122-1-12-12-1-122-1-1-1-12-111-2-2-2-2-2-2-2-2-2-222000000-1-1-1-111111111-2200011-1-1-2-22200000011-1-100000022-1-1-1-111-1-1-2211-1-100-20000001100000
χ332222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-1222-1-100000000-1-1-1-1222222-1-1-1-1-1-10000000000-1-1-1-1-1-10002200000000-1-10
χ342222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10000222222-1-1-1-1-1-122-1-1-1-1-2-22-1-100000000-1-1-1-122-2-2-2-2-1-1-1-1-1-10000000000111111000-2-200000000110
χ352222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-122-211000000001111-2-222221111110000000000-1-1-1-1-1-1000-2-200000000110
χ362222-12222-12222-122-1-1-12-1-1-122-12-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-211000000001111-2-2-2-2-2-211111100000000001111110002200000000-1-10
χ372222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-21111110000222222-1-1-1-111-2-211112-2-2-1-100000000-1-1-1-1-2-222-2-21111110000000000-11-1-1110002-200000000-110
χ382222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-21111110000222222-1-1-1-111-2-21111-22-2-1-100000000-1-1-1-1-2-2-2-22211111100000000001-111-1-1000-22000000001-10
χ392222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-111-2-211112-22110000000011112222-2-2-1-1-1-1-1-10000000000-11-1-111000-22000000001-10
χ402222-122-2-2-12222-122-1-1-12-1-1-122-12-1-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-111-2-21111-2221100000000111122-2-222-1-1-1-1-1-100000000001-111-1-10002-200000000-110
χ4122-2-22220022-2-2-2-22-2-222222-22-2-2-2-2-2000000000000002-222-2-222-2-2000000000002-20000000022-2-20000000000002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ4222-2-22220022-2-2-2-22-2-222222-22-2-2-2-2-2000000000000002-222-2-222-2-2000000000002-20000000022-2-2000000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
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χ452-2-222222-2-2-2-222-2-2-22222-2-2-2-2-2222-22-22-22-222-2-22-22-20000002-2-222-22-222-2-2000002-22-22-22-200000000000000000000002-22-20000000000000000000000
χ462-2-222222-2-2-2-222-2-2-22222-2-2-2-2-2222-22-22-22-222-2-2-22-220000002-2-222-22-222-2-200000-22-22-22-220000000000000000000000-22-220000000000000000000000
χ472-2-22222-22-2-2-222-2-2-22222-2-2-2-2-2222-2-22-22-22-2-2222-2-220000002-2-22-22-22-2-222000002-2-222-2-2200000000000000000000002-2-220000000000000000000000
χ482-2-22222-22-2-2-222-2-2-22222-2-2-2-2-2222-2-22-22-22-2-222-222-20000002-2-22-22-22-2-22200000-222-2-222-20000000000000000000000-222-20000000000000000000000
χ492-2-2222-12-2-2112-1-2-2-222-1-1-211112-1-1-22-2-112-2-1-1112-22-200−i3i3−i3i3-111-12-2-11-1-111000002-22-2-11-11−i3i3−i3i3−i3i3000000−i3−i3i3i3000000-11-1100000000000−i3i3−i3i30000000
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χ532-2-2222-1-22-2112-1-2-2-222-1-1-211112-1-1-2-221-1-2211-1-12-2-2200−i3i3−i3i3-111-1-221-111-1-1000002-2-22-111-1−i3i3−i3i3i3−i3000000i3i3−i3−i3000000-111-100000000000−i3i3i3−i30000000
χ542-2-2222-1-22-2112-1-2-2-222-1-1-211112-1-1-2-221-1-2211-1-12-2-2200i3−i3i3−i3-111-1-221-111-1-1000002-2-22-111-1i3−i3i3−i3−i3i3000000−i3−i3i3i3000000-111-100000000000i3−i3−i3i30000000
χ552-2-2222-1-22-2112-1-2-2-222-1-1-211112-1-1-2-221-1-2211-1-1-222-200−i3i3−i3i3-111-1-221-111-1-100000-222-21-1-11−i3i3−i3i3i3−i3000000i3i3−i3−i30000001-1-1100000000000i3−i3−i3i30000000
χ562-2-2222-1-22-2112-1-2-2-222-1-1-211112-1-1-2-221-1-2211-1-1-222-200i3−i3i3−i3-111-1-221-111-1-100000-222-21-1-11i3−i3i3−i3−i3i3000000−i3−i3i3i30000001-1-1100000000000−i3i3i3−i30000000
χ572-2-222-122-2-2-2-2-12-2112-12-11-2-211-1-121-112-22-222-2-22-22-2000000-111-1-11-11-1-11100000-11-112-22-20000003−33−3000000003−33−3-11-11003−33−30000000003−300000
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χ6544444-2-2444-2-2-2-24-2-24-2-21-2-2-211-21-2-2-2-2-2-244-2-2-2-244440000001111-2-211111100000-2-2-2-2-2-2-2-2000000000000000000000011110000000000000000000000
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χ694444-24-244-2-2-24-2-244-2-21-2-211-2-2-2-21-244-2-2-2-21111000044-2-2-2-21111-2-2-2-21111004-2-2000000001111-2-20000-2-2111100000000000000000000000000000000
χ704444-24-244-2-2-24-2-244-2-21-2-211-2-2-2-21-244-2-2-2-211110000-4-422221111-2-2-2-2111100-42200000000-1-1-1-122000022-1-1-1-100000000000000000000000000000000
χ714444-24-2-4-4-2-2-24-2-244-2-21-2-211-2-2-2-21-2-4-42222-1-1-1-1000044-2-2-2-211112222-1-1-1-100-4-2-200000000111122000022-1-1-1-100000000000000000000000000000000
χ724444-24-2-4-4-2-2-24-2-244-2-21-2-211-2-2-2-21-2-4-42222-1-1-1-10000-4-4222211112222-1-1-1-10042200000000-1-1-1-1-2-20000-2-2111100000000000000000000000000000000
χ734444-2-2444-244-24-2-2-2-21-2-21-2-2-2-21-2-21-2-244-2-2-2-2-2-20000000000111111-2-211114400000000000000000-2-2-2-20000000000000000-2-211110000000000000000
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Here i is the imaginary unit (i² = −1).