Finite Group Databasebeta

← Group #11787978

Character table — Group #11787978

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222222222336666666666666634444666666666666666666666661212121212121212121212121212121212121212121212121212121212121212224444444444661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1
χ911-1-111-11-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1ii−i−i1-1i−i1-111-1-1ii−i−iii−i−i1-1ii−i−ii−i
χ1011-1-111-11-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1−i−iii1-1−ii1-111-1-1−i−iii−i−iii1-1−i−iii−ii
χ1111-1-111-11-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i-11i−i-11-1-111ii−i−iii−i−i-11−i−iii−ii
χ1211-1-111-11-1-11111-1-1-1-11-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii-11−ii-11-1-111−i−iii−i−iii-11ii−i−ii−i
χ1311-1-111-11-1-11111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1ii−i−i-11−ii1-1-1-111ii−i−i−i−iii1-1ii−i−i−ii
χ1411-1-111-11-1-11111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1−i−iii-11i−i1-1-1-111−i−iiiii−i−i1-1−i−iiii−i
χ1511-1-111-11-1-11111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11ii−i−i1-1−ii-1111-1-1ii−i−i−i−iii-11−i−iiii−i
χ1611-1-111-11-1-11111-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11−i−iii1-1i−i-1111-1-1−i−iiiii−i−i-11ii−i−i−ii
χ1722222222222-122-1-1-1-122222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-100000000-1-1000000
χ1822222222222-122-1-1-1-122222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111110000000011000000
χ1922222222222-122-1-1-1-122222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122220000-2-200-1-1111100000000-1-1000000
χ2022222222222-122-1-1-1-122222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-20000220011-1-1-1-10000000011000000
χ212222222222-12-1-12222-1-1-1-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220022000000-1-1-1-1-1-1-1-100000000
χ222222222222-12-1-12222-1-1-1-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000001111111100000000
χ232222222222-12-1-12222-1-1-1-1-1222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000222200-2-2000000-1-1-1-1111100000000
χ242222222222-12-1-12222-1-1-1-1-1222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000-2-2-2-200220000001111-1-1-1-100000000
χ2522222-2-2-22-2222222-2-222222-2-2220000-2-2-2-22-22-222-2-2-2-22222-2-2-2-220000000000000000000000000000000000002-22-200000000002-22-2000000000000
χ2622222-2-2-22-2222222-2-222222-2-2220000-2-2-2-22-22-222-2-2-2-22222-2-2-2-22000000000000000000000000000000000000-22-220000000000-22-22000000000000
χ2722222-2-2-22-2-12-1-122-2-2-1-1-1-1-1-2-22-1000011112-22-2-1-11111-1-1-1-11111-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300002-22-20000000000-11-11−i3i3−i3i300000000
χ2822222-2-2-22-2-12-1-122-2-2-1-1-1-1-1-2-22-1000011112-22-2-1-11111-1-1-1-11111-1−i3−i3i3i3−i3−i3i3i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000-22-2200000000001-11-1i3−i3i3−i300000000
χ2922222-2-2-22-2-12-1-122-2-2-1-1-1-1-1-2-22-1000011112-22-2-1-11111-1-1-1-11111-1i3i3−i3−i3i3i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300002-22-20000000000-11-11i3−i3i3−i300000000
χ3022222-2-2-22-2-12-1-122-2-2-1-1-1-1-1-2-22-1000011112-22-2-1-11111-1-1-1-11111-1i3i3−i3−i3i3i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000-22-2200000000001-11-1−i3i3−i3i300000000
χ312222-22-2-2-2222-2-222-2-2222-2-2-2-22200002-22-2-22-22-2-222-2-222-2-222-2-220000000000000000000000000000000000000000000000000000000000002-22-200
χ322222-22-2-2-2222-2-222-2-2222-2-2-2-22200002-22-2-22-22-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000000000000000-22-2200
χ332222-2-222-2-222-2-22222222-2-222220000-22-22-2-2-2-2-2-2-2-22222-2-2-2-22220000000000000000000000000000000022-2-20000000022000000000000-2-2000000
χ342222-2-222-2-222-2-22222222-2-222220000-22-22-2-2-2-2-2-2-2-22222-2-2-2-222200000000000000000000000000000000-2-22200000000-2-200000000000022000000
χ352222-2-222-2-22-1-2-2-1-1-1-1222-2-2-1-1-1-10000-22-2211111111-1-1-1-11111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322-2-200000000-1-1−i3i3−i3i30000000011000000
χ362222-2-222-2-22-1-2-2-1-1-1-1222-2-2-1-1-1-10000-22-2211111111-1-1-1-11111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2220000000011i3−i3i3−i300000000-1-1000000
χ372222-2-222-2-22-1-2-2-1-1-1-1222-2-2-1-1-1-10000-22-2211111111-1-1-1-11111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322-2-200000000-1-1i3−i3i3−i30000000011000000
χ382222-2-222-2-22-1-2-2-1-1-1-1222-2-2-1-1-1-10000-22-2211111111-1-1-1-11111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2220000000011−i3i3−i3i300000000-1-1000000
χ3922-2-222-22-2-22-12211112-2-2-2-2-1-1-1-122-2-222-2-2-1-111-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112-22-200002-200-11-1-11100000000-11000000
χ4022-2-222-22-2-22-12211112-2-2-2-2-1-1-1-122-2-222-2-2-1-111-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-22-220000-22001-111-1-1000000001-1000000
χ4122-2-222-22-2-22-12211112-2-2-2-2-1-1-1-1-2-22222-2-2-1-111-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12-22-20000-2200-1111-1-100000000-11000000
χ4222-2-222-22-2-22-12211112-2-2-2-2-1-1-1-1-2-22222-2-2-1-111-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-22-2200002-2001-1-1-111000000001-1000000
χ4322-2-222-22-2-2-12-1-1-2-2-2-2-11111222-122-2-2-1-11122-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100002i2i−2i−2i002i−2i000000−i−iii−i−iii00000000
χ4422-2-222-22-2-2-12-1-1-2-2-2-2-11111222-122-2-2-1-11122-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000−2i−2i2i2i00−2i2i000000ii−i−iii−i−i00000000
χ4522-2-222-22-2-2-12-1-1-2-2-2-2-11111222-1-2-222-1-11122-2-2-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i000000−i−iiiii−i−i00000000
χ4622-2-222-22-2-2-12-1-1-2-2-2-2-11111222-1-2-222-1-11122-2-2-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i000000ii−i−i−i−iii00000000
χ4722-2-22-22-2-222222-2-2222-2-2-2-2-2-2220000-2-2222-2-2222-2-2-2-2-2-2-2-2222220000000000000000000000000000000000002i−2i−2i2i00000000002i−2i−2i2i000000000000
χ4822-2-22-22-2-222222-2-2222-2-2-2-2-2-2220000-2-2222-2-2222-2-2-2-2-2-2-2-222222000000000000000000000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i000000000000
χ4922-2-22-22-2-22-12-1-1-2-222-11111-2-22-1000011-1-12-2-22-1-111111111-1-1-1-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i0000000000−iii−i3−3−3300000000
χ5022-2-22-22-2-22-12-1-1-2-222-11111-2-22-1000011-1-12-2-22-1-111111111-1-1-1-1-1−i3−i3i3i3i3i3−i3−i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i0000000000i−i−ii−333−300000000
χ5122-2-22-22-2-22-12-1-1-2-222-11111-2-22-1000011-1-12-2-22-1-111111111-1-1-1-1-1i3i3−i3−i3−i3−i3i3i300000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i0000000000−iii−i−333−300000000
χ5222-2-22-22-2-22-12-1-1-2-222-11111-2-22-1000011-1-12-2-22-1-111111111-1-1-1-1-1i3i3−i3−i3−i3−i3i3i300000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i0000000000i−i−ii3−3−3300000000
χ5322-2-2-222-22-222-2-2-2-2222-2-222-2-22200002-2-22-222-2-2-222-2-2-2-222-2-22220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-222-22-222-2-2-2-2222-2-222-2-22200002-2-22-222-2-2-222-2-2-2-222-2-2222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-2-222222-2-2-2-2-2-22-2-22222220000-222-2-2-222-2-2-2-222-2-22222-2-22000000000000000000000000000000002-2-22000000002-2000000000000-22000000
χ5622-2-2-2-2-222222-2-2-2-2-2-22-2-22222220000-222-2-2-222-2-2-2-222-2-22222-2-2200000000000000000000000000000000-222-200000000-220000000000002-2000000
χ5722-2-2-2-2-22222-1-2-211112-2-222-1-1-1-10000-222-211-1-11111-1-111-1-1-1-111-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-2-2200000000-11−i3i3i3−i3000000001-1000000
χ5822-2-2-2-2-22222-1-2-211112-2-222-1-1-1-10000-222-211-1-11111-1-111-1-1-1-111-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-222-2000000001-1i3−i3−i3i300000000-11000000
χ5922-2-2-2-2-22222-1-2-211112-2-222-1-1-1-10000-222-211-1-11111-1-111-1-1-1-111-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-2-2200000000-11i3−i3−i3i3000000001-1000000
χ6022-2-2-2-2-22222-1-2-211112-2-222-1-1-1-10000-222-211-1-11111-1-111-1-1-1-111-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-222-2000000001-1−i3i3i3−i300000000-11000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-44-44-244-2-2224444422-2-20000-4-4-4-4-22-22-2-22222-2-2-2-22222-2000000000000000000000000000000000000000000000000000000000000000000
χ6444444-4-4-44-4-2-2-2-2-2-222-2-2-2-2-222-2100002222-22-2211-1-1-1-11111-1-1-1-11−2i3−2i32i32i3−2i3−2i32i32i300000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ6544444-4-4-44-4-2-2-2-2-2-222-2-2-2-2-222-2100002222-22-2211-1-1-1-11111-1-1-1-112i32i3−2i3−2i32i32i3−2i3−2i300000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-44-4-4-444-2-4-4-2-222444-4-422-2-200004-44-42-22-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000
χ674444-44-4-4-44-242244-4-4-2-2-222-4-44-20000-22-22-44-4422-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.