Finite Group Databasebeta

← Group #13049708

Character table — Group #13049708

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818181818181818545454545454545454545454
order1244333333666666121212121212121212121212333333333333333336666666666666666612121212121212121212121212121212121212121212121212121212121212121212246666666612121212121212122244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ611-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ711-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ811-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ9222222222-122222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000020200-1-100-1-1
χ10222222222-122222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-20-200110011
χ1122222222-122222-1222222222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002020-1-100-1-100
χ1222222222-122222-1222222222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-20-2011001100
χ1322222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1422222-1-1-1222-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ152222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ162222-12-1-122-12-1-122-1-122-1-1-1-12222-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-21111000000000000
χ172222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ182222-1-12-122-1-12-122-1-1-1-122-1-12222-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-211000000000000
χ192222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ202222-1-1-1222-1-1-1222-1-1-1-1-1-1222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2000000000000
χ2122-2-222222-122222-1-2-2-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111111000000000000000000020-200-1-10011
χ2222-2-222222-122222-1-2-2-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111110000000000000000000-202001100-1-1
χ2322-2-22222-122222-12-2-2-2-2-2-2-2-211-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111111100000000000000000020-20-1-1001100
χ2422-2-22222-122222-12-2-2-2-2-2-2-2-211-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111111000000000000000000-20201100-1-100
χ2522-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000000000
χ2622-2-22-1-1-1222-1-1-122-2-2111111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000000000
χ2722-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111112-2-1-122-1-1-1-111-2-21111000000000000
χ2822-2-2-12-1-122-12-1-12211-2-21111-2-2-2-2-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-1000000000000
χ2922-2-2-1-12-122-1-12-1221111-2-211-2-2-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-211112-2-1-1-1-122-1-11111-2-211000000000000
χ3022-2-2-1-12-122-1-12-1221111-2-211-2-2-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-21111-221111-2-211-1-1-1-122-1-1000000000000
χ3122-2-2-1-1-1222-1-1-1222111111-2-2-2-2-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-22-2-1-1-1-1-1-122111111-2-2000000000000
χ3222-2-2-1-1-1222-1-1-1222111111-2-2-2-2-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ332-22i−2i222222-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ342-22i−2i22222-1-2-2-2-2-212i−2i2i−2i2i−2i2i−2i2i−2i−ii2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111112i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii000000000000000000000000−i3i3003−3
χ352-22i−2i22222-1-2-2-2-2-212i−2i2i−2i2i−2i2i−2i2i−2i−ii2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111112i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii000000000000000000000000i3−i300−33
χ362-22i−2i2222-12-2-2-2-21-22i−2i2i−2i2i−2i2i−2i−ii2i−2i-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111−ii−ii−ii−ii2i−2i2i−2i2i−2i2i−2i−ii−i−iii−i−iii−i−iii−i−iii0000000000000000000000−i3i3003−300
χ372-22i−2i2222-12-2-2-2-21-22i−2i2i−2i2i−2i2i−2i−ii2i−2i-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111−ii−ii−ii−ii2i−2i2i−2i2i−2i2i−2i−ii−i−iii−i−iii−i−iii−i−iii0000000000000000000000i3−i300−3300
χ382-22i−2i2-1-1-122-2111-2-22i−2i−ii−ii−ii2i−2i2i−2i2-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-21111112i−2i−ii−ii−ii2i−2i−ii−ii−ii2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii0000−i3i3−i3i3−i3i3003−33−33−3000000000000
χ392-22i−2i2-1-1-122-2111-2-22i−2i−ii−ii−ii2i−2i2i−2i2-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-21111112i−2i−ii−ii−ii2i−2i−ii−ii−ii2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii0000i3−i3i3−i3i3−i300−33−33−33000000000000
χ402-22i−2i-12-1-1221-211-2-2−ii2i−2i−ii−ii2i−2i2i−2i-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111−ii2i−2i−ii−ii−ii2i−2i−ii−ii2i−2i−i−iii2i2i−2i−2i−i−iii−i−iii00−i3i300−i3i3i3−i33−3003−3−33000000000000
χ412-22i−2i-12-1-1221-211-2-2−ii2i−2i−ii−ii2i−2i2i−2i-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111−ii2i−2i−ii−ii−ii2i−2i−ii−ii2i−2i−i−iii2i2i−2i−2i−i−iii−i−iii00i3−i300i3−i3−i3i3−3300−333−3000000000000
χ422-22i−2i-1-12-12211-21-2-2−ii−ii2i−2i−ii2i−2i2i−2i-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-211−ii−ii2i−2i−ii−ii−ii2i−2i−ii2i−2i−i−iii−i−iii2i2i−2i−2i−i−iii00−i3i3i3−i300−i3i33−3−33003−3000000000000
χ432-22i−2i-1-12-12211-21-2-2−ii−ii2i−2i−ii2i−2i2i−2i-1-12-1-1-12-12-1-1-1-122-1-111-2111-21-21111-2-211−ii−ii2i−2i−ii−ii−ii2i−2i−ii2i−2i−i−iii−i−iii2i2i−2i−2i−i−iii00i3−i3−i3i300i3−i3−333−300−33000000000000
χ442-22i−2i-1-1-1222111-2-2-2−ii−ii−ii2i−2i2i−2i2i−2i-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-2−ii−ii−ii2i−2i−ii−ii−ii2i−2i2i−2i−i−iii−i−iii−i−iii2i2i−2i−2i00−i3i3−i3i3i3−i3003−33−3−3300000000000000
χ452-22i−2i-1-1-1222111-2-2-2−ii−ii−ii2i−2i2i−2i2i−2i-1-1-12-1-1-122-1-1-1-1-1-122111-2111-2-2111111-2-2−ii−ii−ii2i−2i−ii−ii−ii2i−2i2i−2i−i−iii−i−iii−i−iii2i2i−2i−2i00i3−i3i3−i3−i3i300−33−333−300000000000000
χ462-2−2i2i222222-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ472-2−2i2i22222-1-2-2-2-2-21−2i2i−2i2i−2i2i−2i2i−2i2ii−i2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i000000000000000000000000−i3i300−33
χ482-2−2i2i22222-1-2-2-2-2-21−2i2i−2i2i−2i2i−2i2i−2i2ii−i2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i000000000000000000000000i3−i3003−3
χ492-2−2i2i2222-12-2-2-2-21-2−2i2i−2i2i−2i2i−2i2ii−i−2i2i-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111i−ii−ii−ii−i−2i2i−2i2i−2i2i−2i2ii−iii−i−iii−i−iii−i−iii−i−i0000000000000000000000−i3i300−3300
χ502-2−2i2i2222-12-2-2-2-21-2−2i2i−2i2i−2i2i−2i2ii−i−2i2i-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111i−ii−ii−ii−i−2i2i−2i2i−2i2i−2i2ii−iii−i−iii−i−iii−i−iii−i−i0000000000000000000000i3−i3003−300
χ512-2−2i2i2-1-1-122-2111-2-2−2i2ii−ii−ii−i−2i2i−2i2i2-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-2111111−2i2ii−ii−ii−i−2i2ii−ii−ii−i−2i2i−2i−2i2i2iii−i−iii−i−iii−i−i0000−i3i3−i3i3−i3i300−33−33−33000000000000
χ522-2−2i2i2-1-1-122-2111-2-2−2i2ii−ii−ii−i−2i2i−2i2i2-1-1-12-1-1-1222-1-1-1-1-1-1-2111-2111-2-2-2111111−2i2ii−ii−ii−i−2i2ii−ii−ii−i−2i2i−2i−2i2i2iii−i−iii−i−iii−i−i0000i3−i3i3−i3i3−i3003−33−33−3000000000000
χ532-2−2i2i-12-1-1221-211-2-2i−i−2i2ii−ii−i−2i2i−2i2i-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111i−i−2i2ii−ii−ii−i−2i2ii−ii−i−2i2iii−i−i−2i−2i2i2iii−i−iii−i−i00−i3i300−i3i3i3−i3−3300−333−3000000000000
χ542-2−2i2i-12-1-1221-211-2-2i−i−2i2ii−ii−i−2i2i−2i2i-12-1-1-12-1-12-1-122-1-1-1-11-2111-211-211-2-21111i−i−2i2ii−ii−ii−i−2i2ii−ii−i−2i2iii−i−i−2i−2i2i2iii−i−iii−i−i00i3−i300i3−i3−i3i33−3003−3−33000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.