Finite Group Databasebeta

← Group #13172197

Character table — Group #13172197

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12222233366666666633366666666666666666664444366666666666444444441212121212121212121212121212121212121212121212124412121212121212121212121212121212224412122222661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-11111-11-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111111-11-1
χ91111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1111-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-111-1-11-1-11-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1111-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-111-1-111-111-1-1-111-1-1-111-1
χ111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-11111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-111
χ131111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-11-111-1-111-1-1-111-1-1-1-1-111-111-1
χ141111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-1-1-1-11111-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-11-11-1-111-1-1111-1-11-1-1-1-1111-1-11
χ151111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-11111-1-111-1-1
χ1722222222-122-1-1222-122-1-12222-1-12-1-1-1-1-1-1-122-1-1-12222-122-1-1-1-1-1-1-1-1-1000000220000222222-1-122-1-1-1-1-1-1-1-1-1-100000000-1-10000-1-1-1-102020000000-10-1
χ1822222222-122-1-1222-122-1-12222-1-12-1-1-1-1-1-1-122-1-1-12222-122-1-1-1-1-1-1-1-1-1000000-2-20000-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-10000000011000011110-20-20000000101
χ1922222222-122-1-1222-122-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-10000002200002222-2-211-2-2111111111100000000-1-10000-1-1-1-10-20-20000000101
χ2022222222-122-1-1222-122-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1000000-2-20000-2-2-2-2-2-211-2-2111111111100000000110000111102020000000-10-1
χ212222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-10000220022220000-1-122-1-122-1-1-1-1-1-1-1-1000000-1-100-1-1-1-100002020000000-10-10
χ222222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-122-12222-1-1-122-1-1-1-1-1-1-10000-2-200-2-2-2-20000-1-122-1-122-1-1-1-1-1-1-1-1000000110011110000-20-200000001010
χ232222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1000022002222000011-2-211-2-211111111000000-1-100-1-1-1-10000-20-200000001010
χ242222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-200-2-2-2-2000011-2-211-2-2111111110000001100111100002020000000-10-10
χ25222222-1222222-1-122-1-1-12-1-12222-1-1222222-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ26222222-1222222-1-122-1-1-12-1-12222-1-1222222-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111000000000000000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ27222222-1222222-1-122-1-1-12-1-12222-1-1222222-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-111110000000000000000-2-2111122-2-2-1-1-1-1111100001100000000
χ28222222-1222222-1-122-1-1-12-1-12222-1-1222222-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-1-1-10000000000000000-2-21111-2-2221111-1-1-1-100001100000000
χ292222-2-222-122-1-1222-122-1-1-2-2-2-2112-1-1-1111122-1-1-122-2-2-1-2-211-1-1-111110000002-2000022-2-222-1-1-2-211-1-1-1-1111100000000-110000-1-1110-202000000010-1
χ302222-2-222-122-1-1222-122-1-1-2-2-2-2112-1-1-1111122-1-1-122-2-2-1-2-211-1-1-11111000000-220000-2-22222-1-1-2-211-1-1-1-11111000000001-1000011-1-1020-20000000-101
χ312222-2-222-122-1-1222-122-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-222-1-2-211-1-1-111110000002-2000022-2-2-2-21122-1-11111-1-1-1-100000000-110000-1-111020-20000000-101
χ322222-2-222-122-1-1222-122-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-222-1-2-211-1-1-11111000000-220000-2-222-2-21122-1-11111-1-1-1-1000000001-1000011-1-10-202000000010-1
χ332222-2-22-12-1-12222-122-12-1-2-211-2-2-12-1-11111-1-122-122-2-2-111-2-2-1-1-1111100002-20022-2-20000-1-12211-2-2-1-1-1-11111000000-1100-1-111000020-20000000-1010
χ342222-2-22-12-1-12222-122-12-1-2-211-2-2-12-1-11111-1-122-122-2-2-111-2-2-1-1-111110000-2200-2-2220000-1-12211-2-2-1-1-1-111110000001-10011-1-10000-202000000010-10
χ352222-2-22-12-1-12222-122-12-1-2-211-2-2-12-1-11111-1-122-1-2-222-111-2-2-1-1-1111100002-20022-2-2000011-2-2-1-1221111-1-1-1-1000000-1100-1-1110000-202000000010-10
χ362222-2-22-12-1-12222-122-12-1-2-211-2-2-12-1-11111-1-122-1-2-222-111-2-2-1-1-111110000-2200-2-222000011-2-2-1-1221111-1-1-1-10000001-10011-1-1000020-20000000-1010
χ372222-2-2-1222222-1-122-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000-11111-1-1-1111122222-22-2-1-111-1-1110000000000000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ382222-2-2-1222222-1-122-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000-11111-1-1-111112222-22-2211-1-111-1-10000000000000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ392222-2-2-1222222-1-122-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000-11111-1-1-11111-2-2-2-22-2-22-1-11111-1-100000000000000002211112-2-22-1-11111-1-10000-1-100000000
χ402222-2-2-1222222-1-122-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-120000-11111-1-1-11111-2-2-2-2-222-211-1-1-1-1110000000000000000221111-222-211-1-1-1-1110000-1-100000000
χ4122-2-2002222-22-22-2-2-2-2222000000-2-22-200002-22-2-2002i−2i200002-2-200002i2i−2i−2i00000000000000002i−2i2i−2i00002i2i−2i−2i002i2i−2i−2i000000000000000000002-20000
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χ4322-2-2002222-22-22-2-2-2-2222000000-2-22-200002-22-2-200−2i2i200002-2-200002i2i−2i−2i0000000000000000−2i2i−2i2i0000−2i−2i2i2i002i2i−2i−2i00000000000000000000-220000
χ4422-2-2002222-22-22-2-2-2-2222000000-2-22-200002-22-2-200−2i2i200002-2-20000−2i−2i2i2i0000000000000000−2i2i−2i2i0000−2i−2i2i2i00−2i−2i2i2i000000000000000000002-20000
χ452-22-200222-22-22-22-2-2-2222000000-2-2-220000-22-22-22i−2i0020000-22-200002i−2i2i−2i0000000000002i−2i2i−2i00002i2i−2i−2i0000002i−2i2i−2i0000000000000000002-2000000
χ462-22-200222-22-22-22-2-2-2222000000-2-2-220000-22-22-22i−2i0020000-22-20000−2i2i−2i2i0000000000002i−2i2i−2i00002i2i−2i−2i000000−2i2i−2i2i000000000000000000-22000000
χ472-22-200222-22-22-22-2-2-2222000000-2-2-220000-22-22-2−2i2i0020000-22-200002i−2i2i−2i000000000000−2i2i−2i2i0000−2i−2i2i2i0000002i−2i2i−2i000000000000000000-22000000
χ482-22-200222-22-22-22-2-2-2222000000-2-2-220000-22-22-2−2i2i0020000-22-20000−2i2i−2i2i000000000000−2i2i−2i2i0000−2i−2i2i2i000000−2i2i−2i2i0000000000000000002-2000000
χ492-2-222-2222-2-2-2-2-2-22222222-22-22-222-2-222-2-2-2-2-2-22000022-22-2-2-2222-2-22-2-2200000000000000000000000000002-22-2-2200000000000000002-200000000
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χ512-2-222-2-122-2-2-2-21122-1-1-12-112-22-2-1-1-2-222-2-2111120000-1-11-1111-1-1-1112-2-2200003−33−33−33−300000000000000002-2-111-100003−33−33−33−30000-1100000000
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χ552-2-22-22222-2-2-2-2-2-2222222-22-22-2222-2-2-2-222-2-2-2-2200002-22-22-2-22-2-2222-2-220000000000000000000000000000-222-2-220000000000000000-2200000000
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Here i is the imaginary unit (i² = −1).