Finite Group Databasebeta

← Group #13172902

Character table — Group #13172902

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666444121212121212121212121212121212121212121212122244121212121212121212121212244466661212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1111111111111-1-1111-1-1-11111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-11-1-111-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111111-1-1-111-1-11111-1-1-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1111-1-1-1-1-1-111-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1111-11-11111-1-111-1-11-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-11111-1-1-11-1-1-1-11111111-1-1-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-111-1-111-1-111-1-1-1-111-1-1-1111
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-111-111-1-111-1-1-1-111-1-1-1-11111-111-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-111111111-1-111-1-1-1-111111111-1-1-1111-1-1-1-111-11-1-1-1-11111-1-11-1-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-1-11111-1-11-11-11111-1-1-1-1-1-111
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11-1-111-1-11111-1111-1-1-1-11111-1-1
χ17222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1200-1-1-1-1-1-122002222-1-1-1-1-1-1-1-100222000-1-1-1-100002000-1-100-1-1000000
χ18222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-20011-1-111-2-2002222-1-1-1-1-1-1-1-100-2-2-200011110000-2000110011000000
χ19222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-1200-1-111-1-12200-2-2-2-21111111100-2-22000-1-1-1-10000-2000110011000000
χ20222222-1222-1-1-122222-1-122-1-12-1-1-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-200111111-2-200-2-2-2-2111111110022-2000111100002000-1-100-1-1000000
χ21222222-1222-1-1-1222-22-1-1-2-2112-1-1-1111122-1-1-122-2-222-1-1-1-1-1-2-2-211-1-1-11111-2001111-1-1220022-2-2-1-1-1-1111100-2-2-2000-1-11100002000-1-10011000000
χ22222222-1222-1-1-1222-22-1-1-2-2112-1-1-1111122-1-1-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111200-1-11111-2-20022-2-2-1-1-1-111110022200011-1-10000-20001100-1-1000000
χ23222222-1222-1-1-1222-22-1-1-2-2112-1-1-1111122-1-1-1-2-222221111-1-2-2-211-1-1-11111-20011-1-1-1-12200-2-2221111-1-1-1-10022-2000-1-1110000-20001100-1-1000000
χ24222222-1222-1-1-1222-22-1-1-2-2112-1-1-1111122-1-1-1-2-222-2-21111-1-2-2-211-1-1-11111200-1-1-1-111-2-200-2-2221111-1-1-1-100-2-2200011-1-100002000-1-10011000000
χ2522222-122-1-12222-122-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222220022-1-1-1-10000000000002200-1-122-1-1-1-1-1-1-1-1000200-1-100000-100
χ2622222-122-1-12222-122-12-12222-122-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2220022-1-111000000000000-2-200-11-2-2-1-1-1-11111000-2001100000100
χ2722222-122-1-12222-122-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-200-2-211-1-1000000000000-2-2001-1221111-1-1-1-1000-2001100000100
χ2822222-122-1-12222-122-12-12222-122-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200-2-21111000000000000220011-2-211111111000200-1-100000-100
χ2922222-122-1-12222-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-22-2-2-20022-1-111000000000000-2-2001-12-2-1-111-1-1110002001100000-100
χ3022222-122-1-12222-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-2-22-2-20022-1-1-1-1000000000000220011-22-1-11111-1-1000-200-1-100000100
χ3122222-122-1-12222-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-1111122-22200-2-211110000000000002200-1-12-211-1-1-1-111000-200-1-100000100
χ3222222-122-1-12222-12-2-12-1-2-2-2-2-122-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-111112-222200-2-211-1-1000000000000-2-200-11-2211-1-111-1-10002001100000-100
χ332222-122-122222-12-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10220022000022-1-1-1-1-1-1-1-1-1-1-1-1000002-1-10000-1-1-1-1022000000000-10-10
χ342222-122-122222-12-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10-2-200220000-2-2-1-1-1-1-1-1-1-1-1-1-1-100000-211000011110-2-20000000001010
χ352222-122-122222-12-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-102200-2-2000022111111111111000002-1-10000-1-1-1-10-2-20000000001010
χ362222-122-122222-12-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-200-2-20000-2-211111111111100000-21100001111022000000000-10-10
χ372222-122-122222-12-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-1111102-200-2-20000-2-2-1-111-1-1-1-11111000002-110000-1-11102-2000000000-1010
χ382222-122-122222-12-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-111110-2200-2-2000022-1-111-1-1-1-1111100000-21-1000011-1-10-2200000000010-10
χ392222-122-122222-12-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-1111102-200220000-2-211-1-11111-1-1-1-1000002-110000-1-1110-2200000000010-10
χ402222-122-122222-12-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-111110-22002200002211-1-11111-1-1-1-100000-21-1000011-1-102-2000000000-1010
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χ432-22-2222-22-2-22-22-2-202220000-22-2200002-2-2-2-200−2i2i2i−2i00002000002-2-2000000000−2i2i2i−2i2i−2i0000−2i2i0000−2i−2i2i2i00-2200002i−2i00000000000000-22000000
χ442-22-2222-22-2-22-22-2-202220000-22-2200002-2-2-2-200−2i2i−2i2i00002000002-2-2000000000−2i2i−2i2i−2i2i0000−2i2i0000−2i−2i2i2i002-20000−2i2i000000000000002-2000000
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χ472-22-222-1-22-21-112-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-211100−2i2i2i−2i−3−333-1000−i3i3-111−i3−i3i3i30003−3i−i−ii2i−2i0000−2i2i−3−333ii−i−i00-220000−ii3−300000000i3−i3001-1000000
χ482-22-222-1-22-21-112-2-202-1-100−i3i3-2-11-1−i3−i3i3i32-211100−2i2i−2i2i−3−333-1000−i3i3-111−i3−i3i3i3000−33i−ii−i−2i2i0000−2i2i−3−333ii−i−i002-20000i−i−3300000000−i3i300-11000000
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Here i is the imaginary unit (i² = −1).