Finite Group Databasebeta

← Group #13169366

Character table — Group #13169366

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444666636661212121212121212124446666661212121212121212121212121212121244441212121212121212121212124444121212121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111-1-111111111111111-1-111-1-11-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111111111-1-111-1-1-1-11111-1-1-1-111-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111111111111-1-11-111-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-11-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-11-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1111-1-111-1-1-1-111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-111-1-11-1-1-111-1-111-1-111-1-11111-1-111-1-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-111-1-1-1111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-111-1-1-1-1111-11-1-1-1-1-111-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-11-11-1-11111-1-11-11-1-1-1-1-11111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111111-1-1-111-1-111-1-1-1-1-1111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-11-111-1-1-1-111-1111-1-111-1-11111-1-1
χ17222222-12-122-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202-1-1-1-1-1-1222200-1-10000-1-1-1-10000-120-1-1-1-1-10000200200000000-10-10
χ18222222-12-122-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1-20-2-1-1-1-1-1-1-2-22200-1-10000-1-1-1-100001-20111110000-200-2000000001010
χ19222222-12-122-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-120211111122-2-20011000011110000-120-1-1-1-1-10000-200-2000000001010
χ20222222-12-122-122-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2111111-2-2-2-200110000111100001-20111110000200200000000-10-10
χ21222222-12-122-122-122-1-1-22-1-1-12-1-1-12-2-211111122-2-2002222-1-1-1-1-2-2-211111120-2-1-1-1-1-1-1-2-2-2-20011000011110000120-111-1-10000-200200000000-1010
χ22222222-12-122-122-122-1-1-22-1-1-12-1-1-12-2-211111122-2-2002222-1-1-1-1-2-2-2111111-202-1-1-1-1-1-122-2-20011000011110000-1-201-1-1110000200-20000000010-10
χ23222222-12-122-122-122-1-1-22-1-1-12-1-1-12-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-211111120-2111111-2-22200-1-10000-1-1-1-10000120-111-1-10000200-20000000010-10
χ24222222-12-122-122-122-1-1-22-1-1-12-1-1-12-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-2111111-202111111222200-1-10000-1-1-1-10000-1-201-1-1110000-200200000000-1010
χ2522222-12-122-12222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-102022-1-1-1-100-1-12222-1-1-1-1-1-1-1-1002200200000-1-1-1-1020000-1-1-1-1000000
χ2622222-12-122-12222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2022-1-1-1-100-1-1-2-2221111-1-1-1-100-2-200-20000011110-200001111000000
χ2722222-12-122-12222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1020-2-21111001122-2-2-1-1-1-1111100-2-200200000-1-1-1-10-200001111000000
χ2822222-12-122-12222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-211110011-2-2-2-211111111002200-2000001111020000-1-1-1-1000000
χ2922222-12-122-12222-1-12-1-2-12-1-1-122-1-111-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-211110-2022-1-1-1-1001122-2-2-1-111111100-2-200-200000-1-111020000-1-111000000
χ3022222-12-122-12222-1-12-1-2-12-1-1-122-1-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111102022-1-1-1-10011-2-2-2-211-1-1111100220020000011-1-10-2000011-1-1000000
χ3122222-12-122-12222-1-12-1-2-12-1-1-122-1-111-2-21111-2-222221111-1-1-1-1-211-2-211110-20-2-2111100-1-12222-1-111-1-1-1-1002200-200000-1-1110-2000011-1-1000000
χ3222222-12-122-12222-1-12-1-2-12-1-1-122-1-111-2-21111-2-222-2-21111-1-1-1-1-211-2-21111020-2-2111100-1-1-2-22211-1-1-1-1-1-100-2-20020000011-1-1020000-1-111000000
χ332222-12222-122-1-122-1-122-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222000000-1-100-1-1002222000022002-1-12-1-1-1-1-1-1-1-10020-1-10000000-100
χ342222-12222-122-1-122-1-122-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20000001100-1-10022220000-2-200-21-1-21111-1-1-1-100-20110000000100
χ352222-12222-122-1-122-1-122-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22000000-1-1001100-2-2-2-20000-2-2002-112-1-1-1-1111100-20110000000100
χ362222-12222-122-1-122-1-122-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200000011001100-2-2-2-200002200-211-2111111110020-1-10000000-100
χ372222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-20000001100-1-10022-2-20000-2-200-2-11211-1-1-1-1110020110000000-100
χ382222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22000000-1-100-1-10022-2-200002200211-2-1-111-1-11100-20-1-10000000100
χ392222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-200000011001100-2-22200002200-2-1-1211-1-111-1-100-20-1-10000000100
χ402222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-222000000-1-1001100-2-2220000-2-20021-1-2-1-11111-1-10020110000000-100
χ4122-2-2222-2-2-22-22-22-22220-2-2-2-22-222-200000000002-22i−2i00002-2-22000000000000000000002-22i−2i2-22i−2i0022-2-2002i−2i000000002i−2i00000000002i−2i000000
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χ4422-2-2222-2-2-22-22-22-22220-2-2-2-22-222-20000000000-22−2i2i00002-2-2200000000000000000000-22−2i2i-22−2i2i00-2-222002i−2i00000000−2i2i00000000002i−2i000000
χ4522-2-22-121-2-2-1-22-221-12-101-211-1-22-11−i3i300−i3−i3i3i3002-22i−2i−i3−i3i3i3-111-10−i3i300−i3−i3i3i300000−i3−i3i3i300-112i−2i2-2−ii3−3-1-111002i−2i00000000−ii3−30000003−3−ii000000
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χ4822-2-22-121-2-2-1-22-221-12-101-211-1-22-11−i3i300−i3−i3i3i300-22−2i2ii3i3−i3−i3-111-10−i3i300−i3−i3i3i300000i3i3−i3−i3001-1−2i2i-22i−i−3311-1-1002i−2i00000000i−i−330000003−3−ii000000
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χ532-22-2222-22-2-2-2-22-222220-222-2-2-2-2-22000000002-200002-22-222-2-20000000000002-22-22-200000000000000002i−2i0000000000000000002i−2i00002i−2i0000
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Here i is the imaginary unit (i² = −1).