Finite Group Databasebeta

← Group #13172861

Character table — Group #13172861

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666622666636666666666624444666666666666661212121244444412121212121212121212121212122441212121212121212226122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-11-1111111111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-11-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-11111-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111-111-1-111-1-111-1-1-11-111-1-111-1-111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-11-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-1-111-1-1-11111-1-1-111-1-111-1-111-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-11-1-111-1-111-1-1111-1-1-1-11111-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-111111-111-1-111-1-111-1-11-1-1-1-11111-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-1111-1-1-1-111-111-1-111-1-11111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-111-111-1-111-1-1-1-11111-1-11111-1-1-1-11-1-111-1-1-11111-1-11-1111-1-1-1-111111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-11111-1-111-11-1-111-1-111-1-111-11-111-1-111-1-1-1-1-111
χ1722222222-122-1-12-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-12020222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-102020000-1-1-1-12200000000000-1-10
χ1822222222-122-1-12-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-120-20-222-1-1-1-1-1-1-1-1-1-1-1-10000000000110-20-200001111-2-200000000000110
χ1922222222-122-1-12-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-20202-2-21111111111110000000000-1-102020000-1-1-1-1-2-200000000000110
χ2022222222-122-1-12-12222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-20-20-2-2-21111111111110000000000110-20-2000011112200000000000-1-10
χ212222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-122020-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002020-1-1-1-10000000-1-1-1-1000000000
χ222222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-12-20-20-1-12222-1-1-1-1-1-1-1-11111-2-2-2-20000-20-20111100000001111000000000
χ232222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-21111-1-1-122-1-1-1-1-1-1-1-2202011-2-2-2-211111111-1-1-1-1-2-2-2-200002020-1-1-1-100000001111000000000
χ242222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-21111-1-1-122-1-1-1-1-1-1-1-2-20-2011-2-2-2-211111111111122220000-20-2011110000000-1-1-1-1000000000
χ25222222-122-1222-1222-1-1-12-1-12222-1-12222222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10222200000000000000222200002222-1-1-1-1-1-1-1-1-1-1-1-10020000-1-1-1-100000
χ26222222-122-1222-1222-1-1-12-1-12222-1-12222222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-102-22-20000000000000022220000-2-2-2-2-11-11-1-1-1-1111100-20000111100000
χ27222222-122-1222-1222-1-1-12-1-12222-1-12222222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-22-2200000000000000-2-2-2-20000-2-2221-11-11111-1-1-1-100-20000111100000
χ28222222-122-1222-1222-1-1-12-1-12222-1-12222222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000000000-2-2-2-2000022-2-21111111111110020000-1-1-1-100000
χ292222-2-222-122-1-12-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1222222-1-2-211-1-1-11111-2020-2-2-2-1-111-1-1-1-111110000000000-11020-20000-1-111-22000000000001-10
χ302222-2-222-122-1-12-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1222222-1-2-211-1-1-11111-20-202-2-2-1-111-1-1-1-1111100000000001-10-202000011-1-12-200000000000-110
χ312222-2-222-122-1-12-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1-2-2-2-2-2-2-1-2-211-1-1-111112020-22211-1-11111-1-1-1-10000000000-11020-20000-1-1112-200000000000-110
χ322222-2-222-122-1-12-12222-1-1-2-2-2-2112-1-1-1-1111122-1-1-2-2-2-2-2-2-1-2-211-1-1-1111120-2022211-1-11111-1-1-1-100000000001-10-202000011-1-1-22000000000001-10
χ332222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-1-11111-1-12222-1-1-1-1-111-2-2-1-1-11111-220-201122-2-2-1-1-1-11111-1-11122-2-2000020-20-1-1110000000-1-111000000000
χ342222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-1-11111-1-12222-1-1-1-1-111-2-2-1-1-11111-2-20201122-2-2-1-1-1-1111111-1-1-2-2220000-202011-1-1000000011-1-1000000000
χ352222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-1-11111-1-122-2-21111-111-2-2-1-1-11111220-20-1-1-2-2221111-1-1-1-1-1-111-2-222000020-20-1-111000000011-1-1000000000
χ362222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-1-11111-1-122-2-21111-111-2-2-1-1-111112-2020-1-1-2-2221111-1-1-1-111-1-122-2-20000-202011-1-10000000-1-111000000000
χ372222-2-2-122-1222-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-1000000-11111-1-1-11111022-2-20000000000000022-2-20000222-2-1-111-1-111-1-11100-20000-1-11100000
χ382222-2-2-122-1222-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-1000000-11111-1-1-1111102-2-220000000000000022-2-20000-2-2-22-111-1-1-11111-1-1002000011-1-100000
χ392222-2-2-122-1222-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-1000000-11111-1-1-111110-222-200000000000000-2-2220000-2-22-21-1-1111-1-1-1-111002000011-1-100000
χ402222-2-2-122-1222-1222-1-1-1211-2-2-2-2-1-1222-2-2-2-2-1-1-1-1000000-11111-1-1-111110-2-22200000000000000-2-222000022-2211-1-111-1-111-1-100-20000-1-11100000
χ4122-2-22-222222-2-2-22-2-2-22222-22-22-2222-2-222-2-2-2-2-2-200000022-22-22-2-222-2-2000000000000000000000002i−2i2i−2i00000000000000000002i−2i2i−2i000000000
χ4222-2-22-222222-2-2-22-2-2-22222-22-22-2222-2-222-2-2-2-2-2-200000022-22-22-2-222-2-200000000000000000000000−2i2i−2i2i0000000000000000000−2i2i−2i2i000000000
χ4322-2-22-22-122-1-2-2-2211-2-12-12-2-112-2-12-111-1-11111-2-200−i3−i3i3i3-1-112-2-111-1-11100000−i3i30000−i3−i3i3i3−i3−i3i3i33−33−32i−2i2i−2i000000003−33−30000000−ii−ii000000000
χ4422-2-22-22-122-1-2-2-2211-2-12-12-2-112-2-12-111-1-11111-2-200−i3−i3i3i3-1-112-2-111-1-11100000−i3i30000−i3−i3i3i3−i3−i3i3i3−33−33−2i2i−2i2i00000000−33−330000000i−ii−i000000000
χ4522-2-22-22-122-1-2-2-2211-2-12-12-2-112-2-12-111-1-11111-2-200i3i3−i3−i3-1-112-2-111-1-11100000i3−i30000i3i3−i3−i3i3i3−i3−i33−33−3−2i2i−2i2i000000003−33−30000000i−ii−i000000000
χ4622-2-22-22-122-1-2-2-2211-2-12-12-2-112-2-12-111-1-11111-2-200i3i3−i3−i3-1-112-2-111-1-11100000i3−i30000i3i3−i3−i3i3i3−i3−i3−33−332i−2i2i−2i00000000−33−330000000−ii−ii000000000
χ4722-2-2-2222222-2-2-22-2-2-2222-22-22-22222-2-2-2-222-2-2-2-20000002-22-222-2-2-2-222000000000000000000000002i−2i−2i2i00000000000000000002i−2i−2i2i000000000
χ4822-2-2-2222222-2-2-22-2-2-2222-22-22-22222-2-2-2-222-2-2-2-20000002-22-222-2-2-2-22200000000000000000000000−2i2i2i−2i0000000000000000000−2i2i2i−2i000000000
χ4922-2-2-222-122-1-2-2-2211-2-12-1-221-1-22-12-11111-1-111-2-200−i3−i3i3i3-11-1-22-11111-1-100000i3−i30000−i3−i3i3i3i3i3−i3−i33−3−332i−2i−2i2i000000003−3−330000000−iii−i000000000
χ5022-2-2-222-122-1-2-2-2211-2-12-1-221-1-22-12-11111-1-111-2-200−i3−i3i3i3-11-1-22-11111-1-100000i3−i30000−i3−i3i3i3i3i3−i3−i3−333−3−2i2i2i−2i00000000−333−30000000i−i−ii000000000
χ5122-2-2-222-122-1-2-2-2211-2-12-1-221-1-22-12-11111-1-111-2-200i3i3−i3−i3-11-1-22-11111-1-100000−i3i30000i3i3−i3−i3−i3−i3i3i33−3−33−2i2i2i−2i000000003−3−330000000i−i−ii000000000
χ5222-2-2-222-122-1-2-2-2211-2-12-1-221-1-22-12-11111-1-111-2-200i3i3−i3−i3-11-1-22-11111-1-100000−i3i30000i3i3−i3−i3−i3−i3i3i3−333−32i−2i−2i2i00000000−333−30000000−iii−i000000000
χ532-2-2200222-2-22-2-2-22-22222000000-2-2-22-200002-22-22-22-22-220000-22-2000000000002-2002-22-20000000000002-20000000000000000000002-2002-2000
χ542-2-2200222-2-22-2-2-22-22222000000-2-2-22-200002-22-22-22-22-220000-22-2000000000002-2002-22-2000000000000-22000000000000000000000-2200-22000
χ552-2-2200222-2-22-2-2-22-22222000000-2-2-22-200002-22-2-22-22-2220000-22-200000000000-2200-22-220000000000002-20000000000000000000002-200-22000
χ562-2-2200222-2-22-2-2-22-22222000000-2-2-22-200002-22-2-22-22-2220000-22-200000000000-2200-22-22000000000000-22000000000000000000000-22002-2000
χ574444444-2-24-2-2-24-2-2-24-2-2144-2-2-2-2-2-21111111-2-2-2-244-2-2-2-21-2-2-2-2111111140000-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ584444444-2-24-2-2-24-2-2-24-2-2144-2-2-2-2-2-21111111-2-2-2-2-4-422221-2-2-2-21111111-40000222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ59444444-24-2-24-2-2-2-244-2-21-2-2-244-2-2-21-2-2-2-2-2-2-2-2-2110000001-2-211111111100404000000000000000000000000-2-20-20-2000011110000000000000000
χ60444444-24-2-24-2-2-2-244-2-21-2-2-244-2-2-21-2-2-2-2-2-2-2-2-2110000001-2-211111111100-40-40000000000000000000000002202020000-1-1-1-10000000000000000
χ61444444-2-24-2-244-24-2-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-2000000111-2-211111110404000000000000000-2-2-2-200000000-20-20111100000000000000000000
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χ7444-4-44-4-24-2-24222-2-4-42-21-2-224-4-22-21-222-2-22222-1-10000001-221-11-1-111-1-1000000000000000000000000000000000000000−3i3i−3i3i0000000000000000
χ7544-4-44-4-2-24-2-2-4-4242221-2-2-22-224-41-2-222-2-222-1-12200000011-1-221-1-111-1-1000000000000000000023−2323−23000000000000−33−3300000000000000000000
χ7644-4-44-4-2-24-2-2-4-4242221-2-2-22-224-41-2-222-2-222-1-12200000011-1-221-1-111-1-10000000000000000000−2323−23230000000000003−33−300000000000000000000
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Here i is the imaginary unit (i² = −1).