Finite Group Databasebeta

← Group #11789997

Character table — Group #11789997

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222444422334466666666661212121212121212121212123444466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242424242424242424242466881212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111
χ91111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11-1-1−ii11−i−iii-11−ii
χ111111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-111i−i-1-1ii−i−i-11−ii
χ121111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11ii−i−i-111-1-1-11-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11-1-1−ii11−i−iii1-1i−i
χ131111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-111−ii-1-1−i−iii-11i−i
χ141111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11-1-1i−i11ii−i−i1-1−ii
χ151111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-111−ii-1-1−i−iii1-1−ii
χ161111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-11−i−iii-111-1-1-11-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11-1-1i−i11ii−i−i-11i−i
χ1722222222222-1222222-1-1222-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-122-1-1-1-1-1-10000
χ1822222222222-1222222-1-1222-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211-2-21111110000
χ1922222222222-1222222-1-1222-12222-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000022-1-1-2-2-1-111110000
χ2022222222222-1222222-1-1222-12222-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000-2-2112211-1-1-1-10000
χ212222222222-1222-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222222-1222-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ232222222222-1222-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222222-1222-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-12-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-2-222-2-222-2-2222-2-22-2-22222-2-2222220000-222-2-2-22-2-200000000-2-2-2-2-2-222220000000000000000000000002-22-2000022-2-222-2-2000000000000000000000000
χ2622222222-2-222-2-222-2-2222-2-22-2-22222-2-2222220000-222-2-2-22-2-200000000-2-2-2-2-2-22222000000000000000000000000-22-220000-2-222-2-222000000000000000000000000
χ2722222222-2-2-12-2-2-1-11122-111211-1-12211-1-122-10000-2-1-111-2-11133−3−333−3−3-2-21111-1-1-1-100003333−3−3−3−300003333−3−3−3−32-22-20000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-2-2-12-2-2-1-11122-111211-1-12211-1-122-10000-2-1-111-2-11133−3−333−3−3-2-21111-1-1-1-100003333−3−3−3−300003333−3−3−3−3-22-22000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-2-2-12-2-2-1-11122-111211-1-12211-1-122-10000-2-1-111-2-111−3−333−3−333-2-21111-1-1-1-10000−3−3−3−333330000−3−3−3−333332-22-20000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-2-2-12-2-2-1-11122-111211-1-12211-1-122-10000-2-1-111-2-111−3−333−3−333-2-21111-1-1-1-10000−3−3−3−333330000−3−3−3−33333-22-22000011-1-111-1-133−3−333−3−30000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22000022222222200000000-2-2-2-2-2-2-2-2-2-2000000000000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-21111-2-2-100002-1-1-1-12-1-1-1−i3−i3i3i3i3i3−i3−i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i−3−33333−3−30000000000000000
χ342222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-21111-2-2-100002-1-1-1-12-1-1-1−i3−i3i3i3i3i3−i3−i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3−2i2i2i−2i0000ii−i−i−i−iii33−3−3−3−3330000000000000000
χ352222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-21111-2-2-100002-1-1-1-12-1-1-1i3i3−i3−i3−i3−i3i3i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i32i−2i−2i2i0000−i−iiiii−i−i33−3−3−3−3330000000000000000
χ362222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-21111-2-2-100002-1-1-1-12-1-1-1i3i3−i3−i3−i3−i3i3i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3−2i2i2i−2i0000ii−i−i−i−iii−3−33333−3−30000000000000000
χ372222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-21122-2-211-12i2i−2i−2i1-1-1111-1112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000000000000000000000002-2-1-12i−2i11−i−iii0000
χ382222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-21122-2-211-12i2i−2i−2i1-1-1111-1112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii000000000000000000000000-2211−2i2i-1-1ii−i−i0000
χ392222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-21122-2-211-1−2i−2i2i2i1-1-1111-111−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000000000002-2-1-1−2i2i11ii−i−i0000
χ402222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-21122-2-211-1−2i−2i2i2i1-1-1111-111−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000000000-22112i−2i-1-1−i−iii0000
χ412222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-1-111-2-2-12i2i−2i−2i-2-1-111-2-111−i−i−i−iiiii22-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ422222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-1-111-2-2-12i2i−2i−2i-2-1-111-2-111−i−i−i−iiiii22-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ432222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-1-111-2-2-1−2i−2i2i2i-2-1-111-2-111iiii−i−i−i−i22-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ442222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-1-111-2-2-1−2i−2i2i2i-2-1-111-2-111iiii−i−i−i−i22-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ4522-2-222-2-22-2222-2-2-222-2-22-2-2222-2-2-2-2-2-22222200002-2-222-22-2-2000000002-222-2-222-2-200000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4622-2-222-2-22-2222-2-2-222-2-22-2-2222-2-2-2-2-2-22222200002-2-222-22-2-2000000002-222-2-222-2-20000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4722-2-222-2-22-2-122-211-1-1-2-2-1112-1-111-2-211-1-122-10000211-1-1-2-1113−33−33−33−32-2-1-111-1-111000033−3−333−3−3000033−3−333−3−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii0000000000000000
χ4822-2-222-2-22-2-122-211-1-1-2-2-1112-1-111-2-211-1-122-10000211-1-1-2-1113−33−33−33−32-2-1-111-1-111000033−3−333−3−3000033−3−333−3−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i0000000000000000
χ4922-2-222-2-22-2-122-211-1-1-2-2-1112-1-111-2-211-1-122-10000211-1-1-2-111−33−33−33−332-2-1-111-1-1110000−3−333−3−3330000−3−333−3−33300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii0000000000000000
χ5022-2-222-2-22-2-122-211-1-1-2-2-1112-1-111-2-211-1-122-10000211-1-1-2-111−33−33−33−332-2-1-111-1-1110000−3−333−3−3330000−3−333−3−3330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i0000000000000000
χ5122-2-222-2-2-2222-22-2-2-2-2-2-22222-2-2-2-2-2-222222222-22-2-2-2-2-2-222222-2-222-2-22-22-2-22222-2-222-2-222-2-2-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ5222-2-222-2-2-2222-22-2-2-2-2-2-22222-2-2-2-2-2-22222222-22-22-2-2-2-2-22222-222-2-222-2-22-2-22222-2-2-2-222-2-22222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ5322-2-222-2-2-222-1-22-2-2-2-211222-1-2-2-2-2112222-1-1-12-22-211111-1-1-1-12-2-222-2-221-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-100000000000000000000000000−i3i300−i3i3−i3i3−i3i30000
χ5422-2-222-2-2-222-1-22-2-2-2-211222-1-2-2-2-2112222-1-1-12-22-211111-1-1-1-12-2-222-2-221-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-100000000000000000000000000i3−i300i3−i3i3−i3i3−i30000
χ5522-2-222-2-2-222-1-22-2-2-2-211222-1-2-2-2-2112222-1-1-1-22-2211111-1-1-1-1-222-2-222-21-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11100000000000000000000000000−i3i300−i3i3i3−i3i3−i30000
χ5622-2-222-2-2-222-1-22-2-2-2-211222-1-2-2-2-2112222-1-1-1-22-2211111-1-1-1-1-222-2-222-21-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11100000000000000000000000000i3−i300i3−i3−i3i3−i3i30000
χ5722-2-222-2-2-22-12-221111-2-2-1-1-121111-2-2-1-1-1-122-12-22-2-211112-1-1-1-111-1-111-1-2211-1-1-1-11122-2-2-1-11111-1-122-2-2-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ5822-2-222-2-2-22-12-221111-2-2-1-1-121111-2-2-1-1-1-122-12-22-2-211112-1-1-1-111-1-111-1-2211-1-1-1-11122-2-2-1-11111-1-122-2-2-1-11111-1-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.