Finite Group Databasebeta

← Group #11787852

Character table — Group #11787852

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order12222233444466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444888812121212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91-1-11-111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-1
χ101-1-11-111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-11
χ111-1-11-111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-11
χ121-1-11-111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1
χ131-1-11-111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-1-11
χ141-1-11-111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-1111-1
χ151-1-11-111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-1111-1
χ161-1-11-111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ192222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ202222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ212222222-122222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000222200-2-20000-1-1-1-100001111000000
χ222222222-122222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-20022000011110000-1-1-1-1000000
χ23222222-122222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ24222222-122222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ25222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122220000-2-200-1-1-1-1000011110000000000
χ26222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-20000220011110000-1-1-1-10000000000
χ272222-2-2222-22-222222222-2-222-2-220000-2-222-2-2-2-22-2-2-22-2222-2-222-2-20000000000000000000000000000000000002-22-2000000002-22-200000000000000
χ282222-2-2222-22-222222222-2-222-2-220000-2-222-2-2-2-22-2-2-22-2222-2-222-2-2000000000000000000000000000000000000-22-2200000000-22-2200000000000000
χ292222-2-222-22-22222222-2-222-2-22220000-2-222-2-2-2-22-2-22-22-2-2-222-2-222000000000000000000000000000000002-22-2000000002-22-2000000000000000000
χ302222-2-222-22-22222222-2-222-2-22220000-2-222-2-2-2-22-2-22-22-2-2-222-2-22200000000000000000000000000000000-22-2200000000-22-22000000000000000000
χ312222-2-22-12-22-22-122-1-122112211-10000-21-1-111-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300002-22-200000000-11-1100003−33−3000000
χ322222-2-22-12-22-22-122-1-122112211-10000-21-1-111-21-111-2-1-2-1-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−30000-22-22000000001-11-10000−33−33000000
χ332222-2-22-12-22-22-122-1-122112211-10000-21-1-111-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300002-22-200000000-11-110000−33−33000000
χ342222-2-22-12-22-22-122-1-122112211-10000-21-1-111-21-111-2-1-2-1-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−333330000-22-22000000001-11-100003−33−3000000
χ352222-2-2-12-22-22-12-1-12211221122-100001-2-1-1111-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−32-22-200000000-11-1100003−33−30000000000
χ362222-2-2-12-22-22-12-1-12211221122-100001-2-1-1111-2-111-1-2-1-211-1-111-1-133−3−3000033−3−333−3−333−3−3000033−3−333−3−3-22-22000000001-11-10000−33−330000000000
χ372222-2-2-12-22-22-12-1-12211221122-100001-2-1-1111-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−3332-22-200000000-11-110000−33−330000000000
χ382222-2-2-12-22-22-12-1-12211221122-100001-2-1-1111-2-111-1-2-1-211-1-111-1-1−3−3330000−3−333−3−333−3−3330000−3−333−3−333-22-22000000001-11-100003−33−30000000000
χ392-2-222-2222-2-2222-2-2-2-222-2-2-2-2222000022-2-222-2-22-2-2-222-222-2-2-2-2220000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ402-2-222-2222-2-2222-2-2-2-222-2-2-2-2222000022-2-222-2-22-2-2-222-222-2-2-2-222000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ412-2-222-222-222-222-2-2-2-2-2-22222-2-22000022-2-222-2-22-2-22-2-22-2-22222-2-2000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ422-2-222-222-222-222-2-2-2-2-2-22222-2-22000022-2-222-2-22-2-22-2-22-2-22222-2-200000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ432-2-222-22-12-2-222-1-2-2112211-2-2-1-1-100002-111-1-1-21-111-2-121-1-11111-1-1000033−3−33333−3−3−3−30000−3−333−3−3−3−3333300002i−2i−2i2i00000000−iii−i0000i3−i3−i3i3000000
χ442-2-222-22-12-2-222-1-2-2112211-2-2-1-1-100002-111-1-1-21-111-2-121-1-11111-1-1000033−3−33333−3−3−3−30000−3−333−3−3−3−333330000−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i3000000
χ452-2-222-22-12-2-222-1-2-2112211-2-2-1-1-100002-111-1-1-21-111-2-121-1-11111-1-10000−3−333−3−3−3−33333000033−3−33333−3−3−3−300002i−2i−2i2i00000000−iii−i0000−i3i3i3−i3000000
χ462-2-222-22-12-2-222-1-2-2112211-2-2-1-1-100002-111-1-1-21-111-2-121-1-11111-1-10000−3−333−3−3−3−33333000033−3−33333−3−3−3−30000−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i3000000
χ472-2-222-2-12-222-2-1211-2-21122-1-1-2-2-10000-1211-1-11-2-111-1-21211-1-1-1-11133−3−3000033−3−333−3−3−3−3330000−3−333−3−3332i−2i−2i2i00000000−iii−i0000i3−i3−i3i30000000000
χ482-2-222-2-12-222-2-1211-2-21122-1-1-2-2-10000-1211-1-11-2-111-1-21211-1-1-1-11133−3−3000033−3−333−3−3−3−3330000−3−333−3−333−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i30000000000
χ492-2-222-2-12-222-2-1211-2-21122-1-1-2-2-10000-1211-1-11-2-111-1-21211-1-1-1-111−3−3330000−3−333−3−33333−3−3000033−3−333−3−32i−2i−2i2i00000000−iii−i0000−i3i3i3−i30000000000
χ502-2-222-2-12-222-2-1211-2-21122-1-1-2-2-10000-1211-1-11-2-111-1-21211-1-1-1-111−3−3330000−3−333−3−33333−3−3000033−3−333−3−3−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i30000000000
χ512-2-22-2222-2-22222-2-2-2-2-2-2-2-2222220000-2-2-2-2-2-222222-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-2-2200
χ522-2-22-2222-2-22222-2-2-2-2-2-2-2-2222220000-2-2-2-2-2-222222-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-222-200
χ532-2-22-222-122-2-22-1-2-21122-1-1-2-211-122-2-2-2111112-1-1-1-12-1-21-1-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ542-2-22-222-122-2-22-1-2-21122-1-1-2-211-122-2-2-2111112-1-1-1-12-1-21-1-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ552-2-22-222-122-2-22-1-2-21122-1-1-2-211-1-2-222-2111112-1-1-1-12-1-21-1-1-1-11111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000−i−iii0000ii−i−i000000
χ562-2-22-222-122-2-22-1-2-21122-1-1-2-211-1-2-222-2111112-1-1-1-12-1-21-1-1-1-11111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000ii−i−i0000−i−iii000000
χ572-2-22-22-1222-2-2-1211-2-2-1-12211-2-2-122-2-21-21111-12-1-1-1-121-2-1-1-1-11111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ582-2-22-22-1222-2-2-1211-2-2-1-12211-2-2-122-2-21-21111-12-1-1-1-121-2-1-1-1-11111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ592-2-22-22-1222-2-2-1211-2-2-1-12211-2-2-1-2-2221-21111-12-1-1-1-121-2-1-1-1-111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i2i−2i−2i0000−2i2i00−i−iii0000ii−i−i0000000000
χ602-2-22-22-1222-2-2-1211-2-2-1-12211-2-2-1-2-2221-21111-12-1-1-1-121-2-1-1-1-111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i−2i2i2i00002i−2i00ii−i−i0000−i−iii0000000000
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χ62444444-24-4-4-4-4-24-2-24422-4-422-4-4-20000-24-2-2-2-2-24-2-2-22-42-422222222000000000000000000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111-2-2111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-21111111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-10000000033-3-3-3-3330000000033-3-3-3-3330000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-22222222210000-2-21111-2-21112222-1-1-1-1-1-1-1-100000000-3-33333-3-300000000-3-33333-3-30000000000000000000000000000000000
χ674444-4-44-2-44-444-244-2-2-4-4-2-2-4-4-2-2-20000-42-2-222-42-222424222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-244-44-4-24-2-244-2-2-4-4-2-2-4-4-200002-4-2-2222-4-2222424-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-222100002211-1-1221-1-12-22-211-1-111-1-100002323−23−23−3−3−3−3333300002323−23−23−3−3−3−333330000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-2-222-2-222100002211-1-1221-1-12-22-211-1-111-1-10000−23−2323233333−3−3−3−30000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-222-2-222-2-2100002211-1-1221-1-1-22-22-1-111-1-1112323−23−230000−3−333−3−3332323−23−230000−3−333−3−3330000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-222-2-222-2-2100002211-1-1221-1-1-22-22-1-111-1-111−23−232323000033−3−333−3−3−23−232323000033−3−333−3−30000000000000000000000000000000000
χ7344-4-400440000-4-44-44-40000000042-22-2004-40000-4000000000000002-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ7444-4-400440000-4-44-44-4000000004-22-22004-40000-400000000000000-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).