Finite Group Databasebeta

← Group #13178140

Character table — Group #13178140

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818183636363636363636363636363636363636367272727272727272
order122233344666666666121212123333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444222224444466121212121212666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ6111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-1-1-111-1-111
χ7111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-11111-1-1
χ91111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-11-11-11111-1-1-1-11-11-11-11-1
χ101111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-11-111111-1-1-1-1-11-11-11-11
χ111111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11-1-1-1-111111-11-1-11-11
χ121111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-11-1-1-1-1-11111-11-111-11-1
χ131111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-11-1-1111-1-11-1-111-1-1111-1-111-1-11
χ141111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-11-111-1-1-111-1-111-111-1-111-1
χ151111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-11-1-111-111-1-111-1-11-1-11-111-1
χ161111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111-111-1-11-1-1111-1-111-1-1-111-11-1-11
χ17222222-1222-1-1-12222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022220000000000000-1-1-1-10000
χ18222222-1222-1-1-12222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2000000000000011110000
χ19222222-1222-1-1-12222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000022-2-20000000000000-1-1110000
χ20222222-1222-1-1-12222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000-2-222000000000000011-1-10000
χ21222222-1-2-22-1-1-122222-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-11122-2-222-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000002-22-20000000000000-11-110000
χ22222222-1-2-22-1-1-122222-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-11122-2-222-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000-22-2200000000000001-11-10000
χ23222222-1-2-22-1-1-122222-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-2-222-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000002-2-220000000000000-111-10000
χ24222222-1-2-22-1-1-122222-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-1-1-2-222-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-222-200000000000001-1-110000
χ2522222-12222222-1-1-122-1-1-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222000020000-1-1-1-1-1-1-1-100000000
χ2622222-12222222-1-1-122-1-1-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20000-200001111111100000000
χ2722222-12222222-1-1-122-1-1-1-1-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111112222-20000-2000011-1-1-1-11100000000
χ2822222-12222222-1-1-122-1-1-1-1-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-2-2-2-22000020000-1-11111-1-100000000
χ2922222-12-2-22222-1-1-1221111-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-11122-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111122-2-220000-20000-1-1-1-1111100000000
χ3022222-12-2-22222-1-1-1221111-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-11122-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-222-20000200001111-1-1-1-100000000
χ3122222-12-2-22222-1-1-1221111-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22211-1-1-2-2221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-200002000011-1-111-1-100000000
χ3222222-12-2-22222-1-1-1221111-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22211-1-1-2-2221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-22220000-20000-1-111-1-11100000000
χ332222-12222-1222222-1-12222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ342222-12222-1222222-1-12222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ352222-12222-1222222-1-12222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111000000000022-2-2000000000000-1-111
χ362222-12222-1222222-1-12222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000000000-2-22200000000000011-1-1
χ372222-122-2-2-1222222-1-1-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-111-2-222-2-222-2-2-1-11111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000002-22-2000000000000-11-11
χ382222-122-2-2-1222222-1-1-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-111-2-222-2-222-2-2-1-11111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000000000-22-220000000000001-11-1
χ392222-122-2-2-1222222-1-1-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-111-2-2-2-222-2-22211-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002-2-22000000000000-111-1
χ402222-122-2-2-1222222-1-1-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-111-2-2-2-222-2-22211-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-222-20000000000001-1-11
χ4122-2-22222-222-2-22-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ4222-2-22222-222-2-22-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ4322-2-2222-2222-2-22-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ4422-2-2222-2222-2-22-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ4522-2-22-122-222-2-2-111-2-2-1-111-12-1-1-100-1112-2-2-111-1-111112-22-200003−33−30000-1-11122-2-2-1-111-1-1-1-1111133−3−3000033−3−33333−3−3−3−333−3−3000033−3−33333−3−3−3−32i−2i2i−2i0000000000−i3i3−ii−ii−i3i300000000
χ4622-2-22-122-222-2-2-111-2-2-1-111-12-1-1-100-1112-2-2-111-1-111112-22-200003−33−30000-1-11122-2-2-1-111-1-1-1-1111133−3−3000033−3−33333−3−3−3−333−3−3000033−3−33333−3−3−3−3−2i2i−2i2i0000000000i3−i3i−ii−ii3−i300000000
χ4722-2-22-122-222-2-2-111-2-2-1-111-12-1-1-100-1112-2-2-111-1-111112-22-20000−33−330000-1-11122-2-2-1-111-1-1-1-11111−3−3330000−3−333−3−3−3−33333−3−3330000−3−333−3−3−3−333332i−2i2i−2i0000000000i3−i3−ii−iii3−i300000000
χ4822-2-22-122-222-2-2-111-2-2-1-111-12-1-1-100-1112-2-2-111-1-111112-22-20000−33−330000-1-11122-2-2-1-111-1-1-1-11111−3−3330000−3−333−3−3−3−33333−3−3330000−3−333−3−3−3−33333−2i2i−2i2i0000000000−i3i3i−ii−i−i3i300000000
χ4922-2-22-12-2222-2-2-111-2-211-1-1-12-1-1-100-1112-2-2-111-1-11111-22-2200003−3−33000011-1-1-2-22211-1-11111-1-1-1-133−3−3000033−3−33333−3−3−3−3−3−3330000−3−333−3−3−3−333332i−2i−2i2i0000000000−i3i3−iii−ii3−i300000000
χ5022-2-22-12-2222-2-2-111-2-211-1-1-12-1-1-100-1112-2-2-111-1-11111-22-2200003−3−33000011-1-1-2-22211-1-11111-1-1-1-133−3−3000033−3−33333−3−3−3−3−3−3330000−3−333−3−3−3−33333−2i2i2i−2i0000000000i3−i3i−i−ii−i3i300000000
χ5122-2-22-12-2222-2-2-111-2-211-1-1-12-1-1-100-1112-2-2-111-1-11111-22-220000−333−3000011-1-1-2-22211-1-11111-1-1-1-1−3−3330000−3−333−3−3−3−3333333−3−3000033−3−33333−3−3−3−32i−2i−2i2i0000000000i3−i3−iii−i−i3i300000000
χ5222-2-22-12-2222-2-2-111-2-211-1-1-12-1-1-100-1112-2-2-111-1-11111-22-220000−333−3000011-1-1-2-22211-1-11111-1-1-1-1−3−3330000−3−333−3−3−3−3333333−3−3000033−3−33333−3−3−3−3−2i2i2i−2i0000000000−i3i3i−i−iii3−i300000000
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χ1474-4-44-2-2-200222-222-22-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i32000000−2i32i3000023−23003−3−33−3i3i3i−3i3−3−33−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−333−3−333−33i−3i−3i3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113-3-33i3−i3−i3i3i3−i3−i3i3−3−i323+i323−i32−3+i323+i32−3−i32−3+i323−i32000000000000000000000000000000
χ1484-4-44-2-2-200222-222-22-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i320000002i3−2i30000−2323003−3−33−3i3i3i−3i3−3−33−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−333−3−33−3i3i3i−3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11-333-3−i3i3i3−i3−i3i3i3−i33+i32−3−i32−3+i323−i32−3−i323+i323−i32−3+i32000000000000000000000000000000
χ1494-4-44-2-2-200222-222-22-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000−2i32i30000−2323003−3−333i−3i−3i3i3−3−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−3−333−3−333i−3i−3i3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11-333-3i3−i3−i3i3i3−i3−i3i33−i32−3+i32−3−i323+i32−3+i323−i323+i32−3−i32000000000000000000000000000000
χ1504-4-44-2-2-200222-222-22-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i320000002i3−2i3000023−23003−3−333i−3i−3i3i3−3−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−333−3−333−3−3i3i3i−3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113-3-33−i3i3i3−i3−i3i3i3−i3−3+i323−i323+i32−3−i323−i32−3+i32−3−i323+i32000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.