Finite Group Databasebeta

← Group #13176720

Character table — Group #13176720

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222222222222334444444444444444444444444666666666668888888888888888888888991212121212121212121212121212161616161616161618181818182424242424242424272736363636365454547272108108
order123333346666688442233336666121212121224242424242424242424288121212121212121266666666661212121224242424242424244444666624242424242424246666666628812121212121212121212224462424488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ411111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1
χ6111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111
χ7111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-111
χ8111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111111-1-1
χ91111111111111-1-1111-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1111-11-1-11-1-11-11-1
χ101111111111111-1-1111-11111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-111-11-11
χ111111111111111-1-111-111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111-111111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-111-1-11-1-1-11-11
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χ131111111111111-1-1-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-111-11-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-11111-1-11-11-1-1-1111-1-11
χ141111111111111-1-1-1-11-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1111111-11-1111-1-1-111-1
χ151111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-111-111-1
χ161111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-111-1-11111-1-1-1-1111-1-1111-1-11-1-11
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χ202222222-22222200-2-20022222222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-20022220000000000000000200-2-2000000002200200-2000000
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χ22222222-122222-1220022-1-1-1-1-1-1-1-12222-122222222-1-10000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000000-1-1-1-1-1-1-1-1-2-2-2110000000000-2-21110001100
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χ24222222-122222-12200-2-2-1-1-1-1-1-1-1-12222-122222222-1-100000000000-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000011111111-2-2-211000000000022111000-1-100
χ25222222-122222-1-2-2002-2-1-1-1-1-1-1-1-12222-1-2-2-2-2-2-2-2-211000000000002222-2-2-2-2-11-1-1-1-1111111112200000000000000-1-1-1-111112-2-2-1-100000000002-2-111000-1100
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χ35222-1-1-1222-1-1-12-2-2-2-22-22-1-1-12-1-1-12-1-1-12-2-2111111-2-2-222-2-21111112-1-1-1-21112-22-1-1-1-2-211111100-22-211122-1-1-1-1-1-12-1-1-1-211100000-21112-1-1-100000000000000
χ36222-1-1-1222-1-1-12-2-2-2-2-222-1-1-12-1-1-12-1-1-12-2-2111111-2-2-222-2-2111111-21112-1-1-1-222-1-1-1-2-2111111002-2-211122-1-1-1-1-1-1-21112-1-1-1000002-1-1-1-211100000000000000
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χ3922-12-1-122-12-1-1222-2-222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-122-2-2-211-2-21111-12-1-1-12-1-122-12-1-1-1-122-1-1-1-100-2-21-21111-2-21111-12-1-1-12-1-1000001-2111-21100000000000000
χ4022-12-1-122-12-1-1222-2-2-2-2-12-1-1-12-1-1-12-1-12-1-122-1-1-1-122-2-2-211-2-211111-2111-211-2-2-12-1-1-1-122-1-1-1-100221-21111-2-211111-2111-21100000-12-1-1-12-1-100000000000000
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χ4522-1-12-122-1-12-12222222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-122222-1-1-1-122-1-1-1-12-1-1-12-122-1-12-1-1-1-1-122-1-10022-1-12-1-1-1-1-122-1-1-1-12-1-1-12-100000-1-12-1-1-12-100000000000000
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χ652-2222220-2-2-2-2-2−222i−2i002222-2-2-2-200000−22−22−22−22−220−i2i22i−2i2i−2i2i−2i2i−2i00000000000000−22−22−22−222i−2i000000−i2i2−i2i2−i2i2−i2i2000000000−i2i22i−2i000000002-2000−i2i20−220000
χ662-2222220-2-2-2-2-2−222i−2i002222-2-2-2-200000−22−22−22−22−220−i2i22i−2i2i−2i2i−2i2i−2i00000000000000−22−22−22−22−2i2i000000−i2i2−i2i2−i2i2−i2i2000000000i2−i2−2i2i00000000-22000i2−i202−20000
χ672-2222220-2-2-2-2-2−22−2i2i002222-2-2-2-200000−22−22−22−22−220i2−i2−2i2i−2i2i−2i2i−2i2i00000000000000−22−22−22−222i−2i000000i2−i2i2−i2i2−i2i2−i2000000000−i2i22i−2i00000000-22000−i2i202−20000
χ682-2222220-2-2-2-2-2−22−2i2i002222-2-2-2-200000−22−22−22−22−220i2−i2−2i2i−2i2i−2i2i−2i2i00000000000000−22−22−22−22−2i2i000000i2−i2i2−i2i2−i2i2−i2000000000i2−i2−2i2i000000002-2000i2−i20−220000
χ69444444-2-44444-2000000-2-2-2-2-2-2-2-2-4-4-4-420000000000000000000000000000000222200000000440000000000000000000000-400-2-20000000000002000000000
χ70444444-2-44444-2000000-2-2-2-2-2-2-2-2-4-4-4-420000000000000000000000000000000222200000000-4-4000000000000000000000040022000000000000-2000000000
χ71444-2-2-24-44-2-2-240044004-2-2-24-2-2-2-4222-40000000000-40044-2-2-2-2-2-20000000000-4222000000000000-42220000000000000000000000000000000000000000000
χ72444-2-2-24-44-2-2-2400-4-4004-2-2-24-2-2-2-4222-40000000000400-4-42222220000000000-42220000000000004-2-2-20000000000000000000000000000000000000000000
χ73444-2-2-2-244-2-2-2-2440044-2111-21114-2-2-2-244-2-2-2-2-2-2-2-2000000000004-2-2-24-2-2-2-2-2-2111-2-21111110000000000000000-2111-2111000000000000000000000000000
χ74444-2-2-2-244-2-2-2-24400-4-4-2111-21114-2-2-2-244-2-2-2-2-2-2-2-200000000000-4222-422222-2111-2-211111100000000000000002-1-1-12-1-1-1000000000000000000000000000
χ75444-2-2-2-244-2-2-2-2-4-4004-4-2111-21114-2-2-2-2-4-422222222000000000004-2-2-2-4222-22-211122-1-1-1-1-1-10000000000000000-21112-1-1-1000000000000000000000000000
χ76444-2-2-2-244-2-2-2-2-4-400-44-2111-21114-2-2-2-2-4-42222222200000000000-42224-2-2-22-2-211122-1-1-1-1-1-100000000000000002-1-1-1-2111000000000000000000000000000
χ7744-24-2-24-4-24-2-24004400-24-2-2-24-2-22-422-40000000000-400-2-244-2-2-2-200000000002-4220000000000002-4220000000000000000000000000000000000000000000
χ7844-24-2-24-4-24-2-2400-4-400-24-2-2-24-2-22-422-4000000000040022-4-4222200000000002-422000000000000-24-2-20000000000000000000000000000000000000000000
χ7944-24-2-2-24-24-2-2-24400441-2111-211-24-2-2-2-2-244-2-2-2-2-2-200000000000-24-2-2-24-2-2-2-21-21111-2-2111100000000000000001-2111-211000000000000000000000000000
χ8044-24-2-2-24-24-2-2-24400-4-41-2111-211-24-2-2-2-2-244-2-2-2-2-2-2000000000002-4222-422221-21111-2-211110000000000000000-12-1-1-12-1-1000000000000000000000000000
χ8144-24-2-2-24-24-2-2-2-4-4004-41-2111-211-24-2-2-222-4-422222200000000000-24-2-22-422-221-211-1-122-1-1-1-100000000000000001-211-12-1-1000000000000000000000000000
χ8244-24-2-2-24-24-2-2-2-4-400-441-2111-211-24-2-2-222-4-4222222000000000002-422-24-2-22-21-211-1-122-1-1-1-10000000000000000-12-1-11-211000000000000000000000000000
χ8344-2-24-24-4-2-24-24004400-2-24-2-2-24-222-42-40000000000-400-2-2-2-244-2-2000000000022-4200000000000022-420000000000000000000000000000000000000000000
χ8444-2-24-24-4-2-24-2400-4-400-2-24-2-2-24-222-42-400000000004002222-4-422000000000022-42000000000000-2-24-20000000000000000000000000000000000000000000
χ8544-2-24-2-24-2-24-2-244004411-2111-21-2-24-2-2-2-2-2-244-2-2-2-200000000000-2-24-2-2-24-2-2-211-211111-2-211000000000000000011-2111-21000000000000000000000000000
χ8644-2-24-2-24-2-24-2-24400-4-411-2111-21-2-24-2-2-2-2-2-244-2-2-2-20000000000022-4222-422211-211111-2-2110000000000000000-1-12-1-1-12-1000000000000000000000000000
χ8744-2-24-2-24-2-24-2-2-4-4004-411-2111-21-2-24-2-22222-4-4222200000000000-2-24-222-42-2211-21-1-1-1-122-1-1000000000000000011-21-1-12-1000000000000000000000000000
χ8844-2-24-2-24-2-24-2-2-4-400-4411-2111-21-2-24-2-22222-4-422220000000000022-42-2-24-22-211-21-1-1-1-122-1-10000000000000000-1-12-111-21000000000000000000000000000
χ8944-2-2-244-4-2-2-244004400-2-2-24-2-2-24222-4-40000000000-400-2-2-2-2-2-2440000000000222-4000000000000222-40000000000000000000000000000000000000000000
χ9044-2-2-244-4-2-2-24400-4-400-2-2-24-2-2-24222-4-40000000000400222222-4-40000000000222-4000000000000-2-2-240000000000000000000000000000000000000000000
χ9144-2-2-24-24-2-2-24-2440044111-2111-2-2-2-24-2-2-2-2-2-2-244-2-200000000000-2-2-24-2-2-24-2-2111-2111111-2-20000000000000000111-2111-2000000000000000000000000000
χ9244-2-2-24-24-2-2-24-24400-4-4111-2111-2-2-2-24-2-2-2-2-2-2-244-2-200000000000222-4222-422111-2111111-2-20000000000000000-1-1-12-1-1-12000000000000000000000000000
χ9344-2-2-24-24-2-2-24-2-4-4004-4111-2111-2-2-2-24-2222222-4-42200000000000-2-2-24222-4-22111-2-1-1-1-1-1-1220000000000000000111-2-1-1-12000000000000000000000000000
χ9444-2-2-24-24-2-2-24-2-4-400-44111-2111-2-2-2-24-2222222-4-42200000000000222-4-2-2-242-2111-2-1-1-1-1-1-1220000000000000000-1-1-12111-2000000000000000000000000000
χ954-44444-20-4-4-4-4222−220000-2-2-2-222220000022−2222−2222−2222−22−220000000000000000000000000−22−22−22−224i−4i000000000000000000000002i2−2i2−2i2i0000000000000−i2i20000000
χ964-44444-20-4-4-4-4222−220000-2-2-2-222220000022−2222−2222−2222−22−220000000000000000000000000−22−22−22−22−4i4i00000000000000000000000−2i22i22i−2i0000000000000i2−i20000000
χ974-44444-20-4-4-4-42−22220000-2-2-2-2222200000−2222−2222−2222−22222−200000000000000000000000002−22−22−22−24i−4i00000000000000000000000−2i22i2−2i2i0000000000000i2−i20000000
χ984-44444-20-4-4-4-42−22220000-2-2-2-2222200000−2222−2222−2222−22222−200000000000000000000000002−22−22−22−2−4i4i000000000000000000000002i2−2i22i−2i0000000000000−i2i20000000
χ994-44-2-2-240-4222-422−224i−4i004-2-2-2-42220000022−22−22−22−2222−2202i2−2i24i−4i−2i2i−2i2i−2i2i0000000000000022−22−22−22−22000000002i2−2i2−i2i2−i2i2−i2i200000000000000000000000000000000000
χ1004-44-2-2-240-4222-422−22−4i4i004-2-2-2-42220000022−22−22−22−2222−220−2i22i2−4i4i2i−2i2i−2i2i−2i0000000000000022−22−22−22−2200000000−2i22i2i2−i2i2−i2i2−i200000000000000000000000000000000000
χ1014-44-2-2-240-4222-4−22224i−4i004-2-2-2-422200000−22222−22−22−2−22220−2i22i24i−4i−2i2i−2i2i−2i2i00000000000000−22222−22−22−200000000−2i22i2i2−i2i2−i2i2−i200000000000000000000000000000000000
χ1024-44-2-2-240-4222-4−2222−4i4i004-2-2-2-422200000−22222−22−22−2−222202i2−2i2−4i4i2i−2i2i−2i2i−2i00000000000000−22222−22−22−2000000002i2−2i2−i2i2−i2i2−i2i200000000000000000000000000000000000
χ1034-4-24-2-2402-422-422−224i−4i00-24-2-22-42200000−2222−22−22−2222−2202i2−2i2−2i2i4i−4i−2i2i−2i2i00000000000000−2222−22−22−2200000000−i2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000
χ1044-4-24-2-2402-422-422−22−4i4i00-24-2-22-42200000−2222−22−22−2222−220−2i22i22i−2i−4i4i2i−2i2i−2i00000000000000−2222−22−22−2200000000i2−i2−2i22i2i2−i2i2−i200000000000000000000000000000000000
χ1054-4-24-2-2402-422-4−22224i−4i00-24-2-22-422000002−2−22222−22−2−22220−2i22i2−2i2i4i−4i−2i2i−2i2i000000000000002−2−22222−22−200000000i2−i2−2i22i2i2−i2i2−i200000000000000000000000000000000000
χ1064-4-24-2-2402-422-4−2222−4i4i00-24-2-22-422000002−2−22222−22−2−222202i2−2i22i−2i−4i4i2i−2i2i−2i000000000000002−2−22222−22−200000000−i2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000
χ1074-4-2-24-24022-42-422−224i−4i00-2-24-222-4200000−22−2222−22−2222−2202i2−2i2−2i2i−2i2i4i−4i−2i2i00000000000000−22−2222−22−2200000000−i2i2−i2i22i2−2i2−i2i200000000000000000000000000000000000
χ1084-4-2-24-24022-42-422−22−4i4i00-2-24-222-4200000−22−2222−22−2222−220−2i22i22i−2i2i−2i−4i4i2i−2i00000000000000−22−2222−22−2200000000i2−i2i2−i2−2i22i2i2−i200000000000000000000000000000000000
χ1094-4-2-24-24022-42-4−22224i−4i00-2-24-222-42000002−22−2−22222−2−22220−2i22i2−2i2i−2i2i4i−4i−2i2i000000000000002−22−2−22222−200000000i2−i2i2−i2−2i22i2i2−i200000000000000000000000000000000000
χ1104-4-2-24-24022-42-4−2222−4i4i00-2-24-222-42000002−22−2−22222−2−222202i2−2i22i−2i2i−2i−4i4i2i−2i000000000000002−22−2−22222−200000000−i2i2−i2i22i2−2i2−i2i200000000000000000000000000000000000
χ1114-4-2-2-2440222-4-422−224i−4i00-2-2-24222-400000−22−22−2222−2222−2202i2−2i2−2i2i−2i2i−2i2i4i−4i00000000000000−22−22−2222−2200000000−i2i2−i2i2−i2i22i2−2i200000000000000000000000000000000000
χ1124-4-2-2-2440222-4-422−22−4i4i00-2-2-24222-400000−22−22−2222−2222−220−2i22i22i−2i2i−2i2i−2i−4i4i00000000000000−22−22−2222−2200000000i2−i2i2−i2i2−i2−2i22i200000000000000000000000000000000000
χ1134-4-2-2-2440222-4-4−22224i−4i00-2-2-24222-4000002−22−22−2−2222−22220−2i22i2−2i2i−2i2i−2i2i4i−4i000000000000002−22−22−2−222200000000i2−i2i2−i2i2−i2−2i22i200000000000000000000000000000000000
χ1144-4-2-2-2440222-4-4−2222−4i4i00-2-2-24222-4000002−22−22−2−2222−222202i2−2i22i−2i2i−2i2i−2i−4i4i000000000000002−22−22−2−222200000000−i2i2−i2i2−i2i22i2−2i200000000000000000000000000000000000
χ115888-4-4-4-4-88-4-4-4-4000000-4222-4222-8444400000000000000000000000000000004-2-2-200000000000000000000000000000000000000000000000000000000000
χ11688-48-4-4-4-8-48-4-4-40000002-4222-4224-84440000000000000000000000000000000-24-2-200000000000000000000000000000000000000000000000000000000000
χ11788-4-48-4-4-8-4-48-4-400000022-4222-4244-8440000000000000000000000000000000-2-24-200000000000000000000000000000000000000000000000000000000000
χ11888-4-4-48-4-8-4-4-48-4000000222-4222-4444-840000000000000000000000000000000-2-2-2400000000000000000000000000000000000000000000000000000000000
χ1198-88-4-4-4-40-8444442−420000-42224-2-2-20000042−42−2222−2222−2222−22220000000000000000000000000−22222−22−22−2000000000000000000000000000000000000000000000000000
χ1208-88-4-4-4-40-84444−42420000-42224-2-2-200000−424222−2222−2222−2222−22000000000000000000000000022−22−22−22−22000000000000000000000000000000000000000000000000000
χ1218-8-48-4-4-404-844442−4200002-422-24-2-200000−222242−42−2222−2222−222200000000000000000000000002−2−22222−22−2000000000000000000000000000000000000000000000000000
χ1228-8-48-4-4-404-8444−424200002-422-24-2-20000022−22−424222−2222−2222−220000000000000000000000000−2222−22−22−22000000000000000000000000000000000000000000000000000
χ1238-8-4-48-4-4044-84442−42000022-42-2-24-200000−2222−222242−42−2222−222200000000000000000000000002−22−2−22222−2000000000000000000000000000000000000000000000000000
χ1248-8-4-48-4-4044-844−4242000022-42-2-24-20000022−2222−22−424222−2222−220000000000000000000000000−22−2222−22−22000000000000000000000000000000000000000000000000000
χ1258-8-4-4-48-40444-8442−420000222-4-2-2-2400000−2222−2222−222242−42−222200000000000000000000000002−22−22−2−2222000000000000000000000000000000000000000000000000000
χ1268-8-4-4-48-40444-84−42420000222-4-2-2-240000022−2222−2222−22−424222−220000000000000000000000000−22−22−2222−22000000000000000000000000000000000000000000000000000

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