Finite Group Databasebeta

← Group #13168454

Character table — Group #13168454

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order12223334466666666612121212333666666666121212121212121212121212444444441212121212121212366612121212121224666666661212121212121212121212121212121212121212121212121212121244121212122224466666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-111111111-1-11-1-11-1-1-111-1-11111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-11-111111-1-1-1-1-1-111-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-111-1-1-1111-111-1-111-1-111-1-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-11-1-1-1-11111-1-1111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-111-11-1-11-1-1-1-11111-1-111-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-111-1-111-1-111-1-11-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1111-11-111111-1-1-1-1-1-1111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-1-1-111-1-11111-1-1-11
χ17222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000002222-1-12222-1-1-1-100-1-1-1-1-1-1-1-1000000-1-1-1-12200000-1-1-1-100000000
χ18222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-122222222-2-20000001111-1-1-1-1-1-1-1-1-1-10-200000000-2-2-2-2112222-1-1-1-10011111111000000-1-1-1-1-2-200000111100000000
χ19222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222-2-2-2-222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000002222-1-1-2-2-2-2111100-1-1-1-1-1-1-1-10000001111-2-200000111100000000
χ20222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222-2-2-2-2-2-20000001111-1-1-1-1-1-1-1-1-1-10-200000000-2-2-2-211-2-2-2-21111001111111100000011112200000-1-1-1-100000000
χ21222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-222-2-222000000-1-1-1-1-1-1-1-11111110-20000000022-2-21122-2-2-1-11100-1-1-1-11111000000-1-1112-200000-1-11100000000
χ22222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-222-2-2-2-20000001111-1-1-1-11111110200000000-2-222-1-122-2-2-1-111001111-1-1-1-1000000-1-111-220000011-1-100000000
χ23222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2-2-22222000000-1-1-1-1-1-1-1-11111110-20000000022-2-211-2-22211-1-100-1-1-1-1111100000011-1-1-220000011-1-100000000
χ24222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-2-2-222-2-20000001111-1-1-1-11111110200000000-2-222-1-1-2-22211-1-1001111-1-1-1-100000011-1-12-200000-1-11100000000
χ2522222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-10000222222222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000200-1-10000-1-1000000
χ2622222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1000022-2-2-2-2-2-22222-1-1-1-122-1-1-1-1-22-2-2111111-1-1-1-1220000000011-1-1-1-1-1-1-1-11111-2-2000000-20011000011000000
χ2722222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-10000-2-2222222-2-2-2-2-1-1-1-122-1-1-1-12-222-1-1-1-1-1-11111-2-200000000-1-111111111-1-1-1-1-2-2000000-20011000011000000
χ2822222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-2-2-21111111111-2-2000000001111111111111122000000200-1-10000-1-1000000
χ2922222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-2111111110000222222222222-1-1-1-1-2-21111-2-2-2-2111111-1-111-2-200000000-1-1-1-1-1-11111-1-1-1-122000000-200110000-1-1000000
χ3022222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-211111111000022-2-2-2-2-2-22222-1-1-1-1-2-211112-222-1-1-1-1-1-1-1-111-2-20000000011-1-1-1-111111111-2-2000000200-1-1000011000000
χ3122222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-2111111110000-2-2222222-2-2-2-2-1-1-1-1-2-21111-22-2-211111111-1-12200000000-1-11111-1-1-1-1-1-1-1-1-2-2000000200-1-1000011000000
χ3222222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-2111111110000-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-211112222-1-1-1-1-1-111-1-12200000000111111-1-1-1-1111122000000-200110000-1-1000000
χ332222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122220022-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-1-122-1-1-1-1000000-1-1-1-122222200000000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ342222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1222200-2-211110000-1-1-1-1-1-1-1-1-1-1-2011-2-21111000000-1-1-1-12222-2-200000000111100-1-1-1-1000-2-200000000111100
χ352222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2-2-20022-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-1-122-1-1-1-10000001111-2-2-2-22200000000-1-1-1-1001111000-2-200000000111100
χ362222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2-2-200-2-211110000-1-1-1-1-1-1-1-1-1-1-2011-2-211110000001111-2-2-2-2-2-20000000011110011110002200000000-1-1-1-100
χ372222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122-2-20022-1-1-1-10000-1-1-1-1111111-2011-2-21111000000-1-11122-2-22200000000-1-1-1-100-1-1110002-200000000-1-11100
χ382222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122-2-200-2-211110000-1-1-1-111111120-1-122-1-1-1-1000000-1-11122-2-2-2-200000000111100-1-111000-220000000011-1-100
χ392222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2220022-1-1-1-10000-1-1-1-1111111-2011-2-2111100000011-1-1-2-2222200000000-1-1-1-10011-1-1000-220000000011-1-100
χ402222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-22200-2-211110000-1-1-1-111111120-1-122-1-1-1-100000011-1-1-2-222-2-20000000011110011-1-10002-200000000-1-11100
χ4122-2-222200-22-2-2-222-2-20000222-22-2-2-22-2-2200000000000000002-22i−2i2i2i−2i−2i22-2-222-2-200000000000000002-20000000000002i−2i22-2-200002i2i−2i−2i2i−2i0000000000000002i−2i000000
χ4222-2-222200-22-2-2-222-2-20000222-22-2-2-22-2-2200000000000000002-2−2i2i−2i−2i2i2i22-2-222-2-200000000000000002-2000000000000−2i2i22-2-20000−2i−2i2i2i−2i2i000000000000000−2i2i000000
χ4322-2-222200-22-2-2-222-2-20000222-22-2-2-22-2-220000000000000000-222i−2i2i2i−2i−2i-2-22222-2-20000000000000000-220000000000002i−2i-2-22200002i2i−2i−2i−2i2i000000000000000−2i2i000000
χ4422-2-222200-22-2-2-222-2-20000222-22-2-2-22-2-220000000000000000-22−2i2i−2i−2i2i2i-2-22222-2-20000000000000000-22000000000000−2i2i-2-2220000−2i−2i2i2i2i−2i0000000000000002i−2i000000
χ4522-2-22-1200-2-11-2-2221-233−3−32-1-1-2-11-21-1112000033−3−333−3−300002-22i−2i2i2i−2i−2i22-2-2-1-1110033−3−30000−i3i3−i3−i3i3i3-113−30000000000−ii-1-11133−3−3−i−iii2i−2i000000000−i3i30000−ii000000
χ4622-2-22-1200-2-11-2-2221-233−3−32-1-1-2-11-21-1112000033−3−333−3−300002-2−2i2i−2i−2i2i2i22-2-2-1-1110033−3−30000i3−i3i3i3−i3−i3-113−30000000000i−i-1-11133−3−3ii−i−i−2i2i000000000i3−i30000i−i000000
χ4722-2-22-1200-2-11-2-2221-233−3−32-1-1-2-11-21-1112000033−3−333−3−30000-222i−2i2i2i−2i−2i-2-222-1-1110033−3−30000−i3i3−i3−i3i3i31-1−330000000000−ii11-1-1−3−333−i−iii−2i2i000000000i3−i30000i−i000000
χ4822-2-22-1200-2-11-2-2221-233−3−32-1-1-2-11-21-1112000033−3−333−3−30000-22−2i2i−2i−2i2i2i-2-222-1-1110033−3−30000i3−i3i3i3−i3−i31-1−330000000000i−i11-1-1−3−333ii−i−i2i−2i000000000−i3i30000−ii000000
χ4922-2-22-1200-2-11-2-2221-2−3−3332-1-1-2-11-21-11120000−3−333−3−33300002-22i−2i2i2i−2i−2i22-2-2-1-11100−3−3330000i3−i3i3i3−i3−i3-11−330000000000−ii-1-111−3−333−i−iii2i−2i000000000i3−i30000−ii000000
χ5022-2-22-1200-2-11-2-2221-2−3−3332-1-1-2-11-21-11120000−3−333−3−33300002-2−2i2i−2i−2i2i2i22-2-2-1-11100−3−3330000−i3i3−i3−i3i3i3-11−330000000000i−i-1-111−3−333ii−i−i−2i2i000000000−i3i30000i−i000000
χ5122-2-22-1200-2-11-2-2221-2−3−3332-1-1-2-11-21-11120000−3−333−3−3330000-222i−2i2i2i−2i−2i-2-222-1-11100−3−3330000i3−i3i3i3−i3−i31-13−30000000000−ii11-1-133−3−3−i−iii−2i2i000000000−i3i30000i−i000000
χ5222-2-22-1200-2-11-2-2221-2−3−3332-1-1-2-11-21-11120000−3−333−3−3330000-22−2i2i−2i−2i2i2i-2-222-1-11100−3−3330000−i3i3−i3−i3i3i31-13−30000000000i−i11-1-133−3−3ii−i−i2i−2i000000000i3−i30000−ii000000
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χ542-22-22222-22-2-2-22-2-22-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-2−2i2i−2i2i0000000000002-2-222-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000000000000
χ552-22-2222-222-2-2-22-2-22-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-222i−2i−2i2i0000000000002-2-22-22-22-2200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i−2i2i0000000000000000000
χ562-22-2222-222-2-2-22-2-22-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-22−2i2i2i−2i0000000000002-2-22-22-22-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000000000000
χ572-22-222-12-2-1-2-212-212-22-22-2-1-121-2-2-1-11121-112-2-11-112-22-22i−2i2i−2i000000003−33−3-111-1-11-11-11000000000000003−32i−2i2i−2i−ii−ii003−33−33−33−3000000−ii−ii0000000−i3i3−i3i300000000
χ582-22-222-12-2-1-2-212-212-22-22-2-1-121-2-2-1-11121-112-2-11-112-22-22i−2i2i−2i00000000−33−33-111-1-11-11-1100000000000000−332i−2i2i−2i−ii−ii00−33−33−33−33000000−ii−ii0000000i3−i3i3−i300000000
χ592-22-222-12-2-1-2-212-212-22-22-2-1-121-2-2-1-11121-112-2-11-112-22-2−2i2i−2i2i000000003−33−3-111-1-11-11-11000000000000003−3−2i2i−2i2ii−ii−i003−33−33−33−3000000i−ii−i0000000i3−i3i3−i300000000
χ602-22-222-12-2-1-2-212-212-22-22-2-1-121-2-2-1-11121-112-2-11-112-22-2−2i2i−2i2i00000000−33−33-111-1-11-11-1100000000000000−33−2i2i−2i2ii−ii−i00−33−33−33−33000000i−ii−i0000000−i3i3−i3i300000000
χ612-22-222-1-22-1-2-212-212-2-22-22-1-121-2-2-1-111211-1-221-11-1-22-222i−2i−2i2i000000003−33−3-111-11-11-11-100000000000000−332i−2i−2i2i−iii−i003−33−3−33−33000000−iii−i0000000−i3i3i3−i300000000
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χ974-44-44-244-4422-44-4-4-2-4-22-224-2-2-4224-222-2-44-44-4-22-22-22-220000000000000000-222-24-4-22-22000000000000000000000000000000000000000000000000000000000000000
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χ1278888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
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χ13088-8-8-4-4-4004-4444-4-444−43−434343222-22-2-2-22-2-2200002323−23−232323−23−230000000000000000-1-11100−3−333000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-4-48-8-4444-444-44-44-44222-2-2-222-2-22-2-44-442-22-22-22-20000000000000000-111-12-2-11-11000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-4-88-4444-444-444-44-4222-2-2-222-2-22-24-44-4-22-22-22-220000000000000000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).