Finite Group Databasebeta

← Group #13169245

Character table — Group #13169245

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order12223334466666666612121212333666666666121212121212121212121212444444441212121212121212366612121212121224666666661212121212121212121212121212121212121212121212121212121222121212122244466666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-111111111-1-11-1-11-11111-1-1-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-111-1-1-1111-1-1-1-1-1111111-1-1-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-111-11-1-1111-1-111-1-1-1-111-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1111-11-11-1-111-1-111-1-1111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-111-1-111-1-111-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-1-111-1-1-1-1111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1111111-1-11-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-11111-1-1-1-111-1-1-11
χ17222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000002222-1-12222-1-1-1-100-1-1-1-1-1-1-1-1000000-1-1-1-12200000-1-1-1-100000000
χ18222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-12222002222-2-200001111-1-1-1-1-1-1-1-1-1-10-200000000-2-2-2-2112222-1-1-1-10011111111000000-1-1-1-1-2-200000111100000000
χ19222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200-2-2-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000000002222-1-1-2-2-2-2111100-1-1-1-1-1-1-1-10000001111-2-200000111100000000
χ20222222-122-122-122-1222222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-200000000-2-2-2-211-2-2-2-21111001111111100000011112200000-1-1-1-100000000
χ21222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-20022-2-2220000-1-1-1-1-1-1-1-11111110-20000000022-2-21122-2-2-1-11100-1-1-1-11111000000-1-1112-200000-1-11100000000
χ22222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-20022-2-2-2-200001111-1-1-1-11111110200000000-2-222-1-122-2-2-1-111001111-1-1-1-1000000-1-111-220000011-1-100000000
χ23222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-222220000-1-1-1-1-1-1-1-11111110-20000000022-2-211-2-22211-1-100-1-1-1-1111100000011-1-1-220000011-1-100000000
χ24222222-1-2-2-122-122-122-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-222-2-200001111-1-1-1-11111110200000000-2-222-1-1-2-22211-1-1001111-1-1-1-100000011-1-12-200000-1-11100000000
χ2522222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-12200002222222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000200-1-10000-1-1000000
χ2622222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1220000-2-22222-2-2-2-2-1-1-1-122-1-1-1-12-222-1-1-1-1-1-11111-2-200000000-1-111111111-1-1-1-1-2-2000000-20011000011000000
χ2722222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2000022-2-2-2-22222-1-1-1-122-1-1-1-1-22-2-2111111-1-1-1-1220000000011-1-1-1-1-1-1-1-11111-2-2000000-20011000011000000
χ2822222-12222-1-12222-12-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-20000-2-2-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-2-2-21111111111-2-2000000001111111111111122000000200-1-10000-1-1000000
χ2922222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-2111111112200002222222222-1-1-1-1-2-21111-2-2-2-2111111-1-111-2-200000000-1-1-1-1-1-11111-1-1-1-122000000-200-1-1000011000000
χ3022222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-211111111220000-2-22222-2-2-2-2-1-1-1-1-2-21111-22-2-211111111-1-12200000000-1-11111-1-1-1-1-1-1-1-1-2-2000000200110000-1-1000000
χ3122222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2000022-2-2-2-22222-1-1-1-1-2-211112-222-1-1-1-1-1-1-1-111-2-20000000011-1-1-1-111111111-2-2000000200110000-1-1000000
χ3222222-12-2-22-1-12222-1211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-20000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-211112222-1-1-1-1-1-111-1-12200000000111111-1-1-1-1111122000000-200-1-1000011000000
χ332222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-1-122-1-1-1-1000000-1-1-1-122222200000000-1-1-1-100-1-1-1-10002200000000-1-1-1-100
χ342222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-122-2-2-2-200-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-1-122-1-1-1-10000001111-2-2-2-22200000000-1-1-1-1001111000-2-200000000111100
χ352222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-222220011110000-1-1-1-1-1-1-1-1-1-1-2011-2-21111000000-1-1-1-12222-2-200000000111100-1-1-1-1000-2-200000000111100
χ362222-122222222-1-122-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-1-1-2011-2-211110000001111-2-2-2-2-2-20000000011110011110002200000000-1-1-1-100
χ372222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112222-2-200-1-1-1-10000-1-1-1-1111111-2011-2-21111000000-1-11122-2-22200000000-1-1-1-100-1-1110002-200000000-1-11100
χ382222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-2111122-2-22200-1-1-1-10000-1-1-1-1111111-2011-2-2111100000011-1-1-2-2222200000000-1-1-1-10011-1-1000-220000000011-1-100
χ392222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-222-2-20011110000-1-1-1-111111120-1-122-1-1-1-1000000-1-11122-2-2-2-200000000111100-1-111000-220000000011-1-100
χ402222-122-2-22222-1-122-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2-2-2220011110000-1-1-1-111111120-1-122-1-1-1-100000011-1-1-2-222-2-20000000011110011-1-10002-200000000-1-11100
χ4122-2-22222-22-2-2-22-2-22-222-2-2222-2-2-222-2-22-22-22-222-2-222-2-2002i−2i2i−2i00000000002-2-222-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i0000000000000000000
χ4222-2-22222-22-2-2-22-2-22-222-2-2222-2-2-222-2-22-22-22-222-2-222-2-200−2i2i−2i2i00000000002-2-222-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000000000000
χ4322-2-2222-222-2-2-22-2-22-2-2-222222-2-2-222-2-22-2-22-22-2-222-2-222002i−2i−2i2i00000000002-2-22-22-2-22200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i−2i2i0000000000000000000
χ4422-2-2222-222-2-2-22-2-22-2-2-222222-2-2-222-2-22-2-22-22-2-222-2-22200−2i2i2i−2i00000000002-2-22-22-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000000000000
χ4522-2-222-12-2-1-2-212-212-222-2-2-1-121-2-2-1-11121-112-2-1-11122-2-2002i−2i2i−2i00000033−3−3-111-1-11-1-111000000000000003−32i−2i2i−2i−ii−ii0033−3−333−3−3000000−ii−ii0000000−i3i3−i3i300000000
χ4622-2-222-12-2-1-2-212-212-222-2-2-1-121-2-2-1-11121-112-2-1-11122-2-2002i−2i2i−2i000000−3−333-111-1-11-1-11100000000000000−332i−2i2i−2i−ii−ii00−3−333−3−333000000−ii−ii0000000i3−i3i3−i300000000
χ4722-2-222-12-2-1-2-212-212-222-2-2-1-121-2-2-1-11121-112-2-1-11122-2-200−2i2i−2i2i00000033−3−3-111-1-11-1-111000000000000003−3−2i2i−2i2ii−ii−i0033−3−333−3−3000000i−ii−i0000000i3−i3i3−i300000000
χ4822-2-222-12-2-1-2-212-212-222-2-2-1-121-2-2-1-11121-112-2-1-11122-2-200−2i2i−2i2i000000−3−333-111-1-11-1-11100000000000000−33−2i2i−2i2ii−ii−i00−3−333−3−333000000i−ii−i0000000−i3i3−i3i300000000
χ4922-2-222-1-22-1-2-212-212-2-2-222-1-121-2-2-1-111211-1-2211-1-1-2-222002i−2i−2i2i00000033−3−3-111-11-111-1-100000000000000−332i−2i−2i2i−iii−i0033−3−3−3−333000000−iii−i0000000−i3i3i3−i300000000
χ5022-2-222-1-22-1-2-212-212-2-2-222-1-121-2-2-1-111211-1-2211-1-1-2-222002i−2i−2i2i000000−3−333-111-11-111-1-1000000000000003−32i−2i−2i2i−iii−i00−3−33333−3−3000000−iii−i0000000i3−i3−i3i300000000
χ5122-2-222-1-22-1-2-212-212-2-2-222-1-121-2-2-1-111211-1-2211-1-1-2-22200−2i2i2i−2i00000033−3−3-111-11-111-1-100000000000000−33−2i2i2i−2ii−i−ii0033−3−3−3−333000000i−i−ii0000000i3−i3−i3i300000000
χ5222-2-222-1-22-1-2-212-212-2-2-222-1-121-2-2-1-111211-1-2211-1-1-2-22200−2i2i2i−2i000000−3−333-111-11-111-1-1000000000000003−3−2i2i2i−2ii−i−ii00−3−33333−3−3000000i−i−ii0000000−i3i3i3−i300000000
χ5322-2-2-1222-22-2-2-2-11-22122-2-2-12-1111-12-2-2-112-2-1122-2-2-1-111002i−2i2i−2i00−i3−i3i3i30000-111-1-11-1-11100−i3i300−i3−i3i3i3000000−ii−ii2i−2i2i−2i0000000000−i3−i3i3i300−ii−ii00000000000003−33−300
χ5422-2-2-1222-22-2-2-2-11-22122-2-2-12-1111-12-2-2-112-2-1122-2-2-1-111002i−2i2i−2i00i3i3−i3−i30000-111-1-11-1-11100i3−i300i3i3−i3−i3000000−ii−ii2i−2i2i−2i0000000000i3i3−i3−i300−ii−ii0000000000000−33−3300
χ5522-2-2-1222-22-2-2-2-11-22122-2-2-12-1111-12-2-2-112-2-1122-2-2-1-11100−2i2i−2i2i00−i3−i3i3i30000-111-1-11-1-11100−i3i300−i3−i3i3i3000000i−ii−i−2i2i−2i2i0000000000−i3−i3i3i300i−ii−i0000000000000−33−3300
χ5622-2-2-1222-22-2-2-2-11-22122-2-2-12-1111-12-2-2-112-2-1122-2-2-1-11100−2i2i−2i2i00i3i3−i3−i30000-111-1-11-1-11100i3−i300i3i3−i3−i3000000i−ii−i−2i2i−2i2i0000000000i3i3−i3−i300i−ii−i00000000000003−33−300
χ5722-2-2-122-222-2-2-2-11-221-2-222-12-1111-12-2-2-11-221-1-2-22211-1-1002i−2i−2i2i00−i3−i3i3i30000-111-11-111-1-100i3−i300i3i3−i3−i3000000−iii−i2i−2i−2i2i0000000000−i3−i3i3i300−iii−i00000000000003−3−3300
χ5822-2-2-122-222-2-2-2-11-221-2-222-12-1111-12-2-2-11-221-1-2-22211-1-1002i−2i−2i2i00i3i3−i3−i30000-111-11-111-1-100−i3i300−i3−i3i3i3000000−iii−i2i−2i−2i2i0000000000i3i3−i3−i300−iii−i0000000000000−333−300
χ5922-2-2-122-222-2-2-2-11-221-2-222-12-1111-12-2-2-11-221-1-2-22211-1-100−2i2i2i−2i00−i3−i3i3i30000-111-11-111-1-100i3−i300i3i3−i3−i3000000i−i−ii−2i2i2i−2i0000000000−i3−i3i3i300i−i−ii0000000000000−333−300
χ6022-2-2-122-222-2-2-2-11-221-2-222-12-1111-12-2-2-11-221-1-2-22211-1-100−2i2i2i−2i00i3i3−i3−i30000-111-11-111-1-100−i3i300−i3−i3i3i3000000i−i−ii−2i2i2i−2i0000000000i3i3−i3−i300i−i−ii00000000000003−3−3300
χ612-22-222200-22-22-2-2-2-22000022222-2-2-22-2-2-20000000000002i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i22-2-200000000000000002i−2i0000000000002i−2i2i−2i2i−2i00002i−2i2i−2i2-20000000002-2000000000000
χ622-22-222200-22-22-2-2-2-22000022222-2-2-22-2-2-20000000000002i−2i0000−2i2i2i−2i2i−2i−2i2i−2i2i22-2-20000000000000000−2i2i0000000000002i−2i−2i2i−2i2i00002i−2i2i−2i-22000000000-22000000000000
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χ1084-44-4-2-2400-4-22422-42-223−2323−23-2-21-21-122-22-12000023−2323−23−33−33−4i4i0000002i−2i2i−2i000011-1-100−33−3300002i3−2i3−i3i3−i3i3000000000000002i−2i00000000−ii−ii0000000000000000000000000
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χ1114-4-4444400-4-44-4-444-4-40000444-4-44-4-4-44-4400000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
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χ1204-4-44-24400-4-44-42-24-420000-24-222-22-4-442-20000000000000000000023−23−23230000-22-22000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ1214-4-44-24400-4-44-42-24-420000-24-222-22-4-442-200000000000000000000−232323−230000-22-220000000000000000000000000000000000000000−232323−230000000000000000000000000
χ1224-4-44-2-2400-42-2-42-242223−23−2323-2-212-11222-2-1-2000023−23−2323−333−30000000023−23−232300001-11-100−333−3000000-333-3000000000000000000000000−333−30000000000000000000000000
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χ1268888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000000000000000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
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
χ12888-8-8-4-4-48-8-4444-444-44-4-444222-2-2-222-2-22-2-44-4422-2-222-2-20000000000000000-111-12-2-1-111000000000000000000000000000000000000000000000000000000000000000
χ12988-8-8-4-4-4-88-4444-444-4444-4-4222-2-2-222-2-22-24-44-4-2-222-2-2220000000000000000-111-1-2211-1-1000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-48-40048-8-4444-8-400002-4-42-44-24-444-2000000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-88-8-4-4-4004-44-44444-4−4343−434322222-2-2-22-2-2-2000023−2323−2323−2323−230000000000000000-1-11100−33−33000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-40044-444-4-444−434343−43222-2-22-2-2-22-22000023−23−232323−23−23230000000000000000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).