Finite Group Databasebeta

← Group #11790077

Character table — Group #11790077

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111111111112222222222222222222222222222222244444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212123636363636363636
order1222222244444444336666666666666612121212121212121212121212121212344446666666121212121212121212121212121212121212121212121212121212121212121212121212121212124444444488888888121212121212121212121212121212122424242424242424242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1722222222222222222-12222-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222222-12222-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000001111111111111111000000000000000000000000
χ1922222222222222222-12222-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2022222222222222222-12222-1-1222-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-12-1-1-1-122-1-1-122222-1-1-1-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ222222222222222222-12-1-1-1-122-1-1-122222-1-1-1-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-20000000000000000111111111111111100000000
χ232222222222222222-12-1-1-1-122-1-1-122222-1-1-1-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-11111111100000000
χ242222222222222222-12-1-1-1-122-1-1-122222-1-1-1-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-100000000
χ2522222222-2-2-2-2-2-2-2-22-12222-1-1222-1-1-1-1-1-2-2-2-211111111-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111122-2-222-2-200000000-1-1-1-11111-1-1-1-11111000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22-12222-1-1222-1-1-1-1-1-2-2-2-211111111-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-2-222-2-222000000001111-1-1-1-11111-1-1-1-1000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-12222-1-1222-1-1-1-1-1-2-2-2-211111111-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-22200000000-1-1-1-111111111-1-1-1-1000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-12222-1-1222-1-1-1-1-1-2-2-2-211111111-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-22222-2-2000000001111-1-1-1-1-1-1-1-11111000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1222221111-2-2-2-2-2-2-2-21111-122-2-2-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i2i2i−2i−2i0000000000000000−i−i−i−iiiii−i−i−i−iiiii00000000
χ3022222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1222221111-2-2-2-2-2-2-2-21111-122-2-2-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−2i−2i2i2i0000000000000000iiii−i−i−i−iiiii−i−i−i−i00000000
χ3122222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1222221111-2-2-2-2-2-2-2-21111-1-2-222-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i0000000000000000−i−i−i−iiiiiiiii−i−i−i−i00000000
χ3222222222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1222221111-2-2-2-2-2-2-2-21111-1-2-222-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i0000000000000000iiii−i−i−i−i−i−i−i−iiiii00000000
χ332222-2-2-2-222-2-222-2-22222-2-2222-2-22-2-2-2-222-2-22222-2-2-2-222-2-22000022-2-22-2-200000000000000002222-2-2-2-20000000000000000000000002-22-20000000000000000000022-2-222-2-20000000000000000
χ342222-2-2-2-222-2-222-2-22222-2-2222-2-22-2-2-2-222-2-22222-2-2-2-222-2-22000022-2-22-2-200000000000000002222-2-2-2-2000000000000000000000000-22-2200000000000000000000-2-222-2-2220000000000000000
χ352222-2-2-2-222-2-222-2-2-12-1-11122-1112-2-2-2-2-1-1112222-2-2-2-2-1-111-10000-1-111-11133−3−333−3−300000000-1-1-1-111113333−3−3−3−33333−3−3−3−3000000002-22-200000000000000000000-1-111-1-11133−3−333−3−300000000
χ362222-2-2-2-222-2-222-2-2-12-1-11122-1112-2-2-2-2-1-1112222-2-2-2-2-1-111-10000-1-111-11133−3−333−3−300000000-1-1-1-111113333−3−3−3−33333−3−3−3−300000000-22-220000000000000000000011-1-111-1-1−3−333−3−33300000000
χ372222-2-2-2-222-2-222-2-2-12-1-11122-1112-2-2-2-2-1-1112222-2-2-2-2-1-111-10000-1-111-111−3−333−3−33300000000-1-1-1-11111−3−3−3−33333−3−3−3−33333000000002-22-200000000000000000000-1-111-1-111−3−333−3−33300000000
χ382222-2-2-2-222-2-222-2-2-12-1-11122-1112-2-2-2-2-1-1112222-2-2-2-2-1-111-10000-1-111-111−3−333−3−33300000000-1-1-1-11111−3−3−3−33333−3−3−3−3333300000000-22-220000000000000000000011-1-111-1-133−3−333−3−300000000
χ392222-2-2-2-2-2-222-2-2222222-2-2222-2-22-2-2-2-2-2-222-2-2-2-22222-2-2222000022-2-22-2-20000000000000000-2-2-2-222220000000000000000000000002i−2i−2i2i000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ402222-2-2-2-2-2-222-2-2222222-2-2222-2-22-2-2-2-2-2-222-2-2-2-22222-2-2222000022-2-22-2-20000000000000000-2-2-2-22222000000000000000000000000−2i2i2i−2i00000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ412222-2-2-2-2-2-222-2-222-12-1-11122-1112-2-2-2-211-1-1-2-2-2-2222211-1-1-10000-1-111-11133−3−3−3−333000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333000000002i−2i−2i2i00000000000000000000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i300000000
χ422222-2-2-2-2-2-222-2-222-12-1-11122-1112-2-2-2-211-1-1-2-2-2-2222211-1-1-10000-1-111-11133−3−3−3−333000000001111-1-1-1-13333−3−3−3−3−3−3−3−3333300000000−2i2i2i−2i00000000000000000000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i300000000
χ432222-2-2-2-2-2-222-2-222-12-1-11122-1112-2-2-2-211-1-1-2-2-2-2222211-1-1-10000-1-111-111−3−33333−3−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3000000002i−2i−2i2i00000000000000000000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i300000000
χ442222-2-2-2-2-2-222-2-222-12-1-11122-1112-2-2-2-211-1-1-2-2-2-2222211-1-1-10000-1-111-111−3−33333−3−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−300000000−2i2i2i−2i00000000000000000000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i300000000
χ4522-2-22-22-22i−2i2i−2i2i−2i2i−2i222-22-22-2-22-2-22-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i200002-22-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ4622-2-22-22-22i−2i2i−2i2i−2i2i−2i222-22-22-2-22-2-22-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i200002-22-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ4722-2-22-22-2−2i2i−2i2i−2i2i−2i2i222-22-22-2-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i200002-22-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ4822-2-22-22-2−2i2i−2i2i−2i2i−2i2i222-22-22-2-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i200002-22-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ4922-2-2-22-222i−2i−2i2i2i−2i−2i2i222-2-222-2-2-22-2-22-222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2i−2i−2i2i200002-2-22-2-2200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000002-22i−2i000000000000000022-2-22i2i−2i−2i000000000000000000000000
χ5022-2-2-22-222i−2i−2i2i2i−2i−2i2i222-2-222-2-2-22-2-22-222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2i−2i−2i2i200002-2-22-2-2200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000-22−2i2i0000000000000000-2-222−2i−2i2i2i000000000000000000000000
χ5122-2-2-22-222i−2i−2i2i2i−2i−2i2i2-12-2-22-11-2-2211-11-12i−2i−2i2i−i−iiiii−i−i2i−2i−2i2i-10000-111-111-10000000033−3−3−i3−i3i3i3−i−iiiii−i−i33−3−333−3−3−i3−i3i3i3−i3−i3i3i300002-22i−2i0000000033−3−3−i3−i3i3i3-1-111−i−iii000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.