Finite Group Databasebeta

← Group #11786704

Character table — Group #11786704

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666666666121212123444466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224444444466881212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1
χ911-1-1-11111-11-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−ii−i1-11-11-1ii−i−iii−i−i11-1-1i−ii−ii−i
χ1011-1-1-11111-11-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii−ii1-11-11-1−i−iii−i−iii11-1-1−ii−ii−ii
χ1111-1-1-11111-11-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11ii−i−ii−i-11-11-11ii−i−iii−i−i-1-111−ii−ii−ii
χ1211-1-1-11111-11-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−i−iii−ii-11-11-11−i−iii−i−iii-1-111i−ii−ii−i
χ1311-1-1-11111-11-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1ii−i−i−ii1-1-111-1ii−i−i−i−iii-1-111i−ii−i−ii
χ1411-1-1-11111-11-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1−i−iiii−i1-1-111-1−i−iiiii−i−i-1-111−ii−iii−i
χ1511-1-1-11111-11-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11ii−i−i−ii-111-1-11ii−i−i−i−iii11-1-1−ii−iii−i
χ1611-1-1-11111-11-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11−i−iiii−i-111-1-11−i−iiiii−i−i11-1-1i−ii−i−ii
χ1722222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-200000000000000000000000000002-22-2000000002-22-200000000000000
χ1822222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-22-2200000000-22-2200000000000000
χ192222222-12222222-1-1222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-122-1-100000000-1-1-1-1000000
χ202222222-12222222-1-1222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000011-2-211000000001111000000
χ212222222-12222222-1-1222-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111111111112222000000-1-1-2-2-1-1000000001111000000
χ222222222-12222222-1-1222-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-200000011221100000000-1-1-1-1000000
χ23222222-122222-1-1-122-1-1-12-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ24222222-122222-1-1-122-1-1-12-12222-122222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ25222222-122222-1-1-122-1-1-12-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-21111111100002222-2-2000000-1-1-1-111110000000000
χ26222222-122222-1-1-122-1-1-12-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000-2-2-2-2220000001111-1-1-1-10000000000
χ27222222-12-2-2-2-2-1-1-122-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i300002-22-200000000-11-11−i3i3−i3i30000000000
χ28222222-12-2-2-2-2-1-1-122-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000-22-22000000001-11-1i3−i3i3−i30000000000
χ29222222-12-2-2-2-2-1-1-122-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-22-200000000-11-11i3−i3i3−i30000000000
χ30222222-12-2-2-2-2-1-1-122-1-1-12-1-2-2-2-2-100002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000-22-22000000001-11-1−i3i3−i3i30000000000
χ312222-2-2222-2-222-2-2222-2-222-2-2-2-220000-222-2-2-22-2-22-22-2000000002222-2-222-2-200000000000000000000000022-2-20000002200-2-2000000000000000000
χ322222-2-2222-2-222-2-2222-2-222-2-2-2-220000-222-2-2-22-2-22-22-2000000002222-2-222-2-2000000000000000000000000-2-222000000-2-20022000000000000000000
χ332222-2-222-222-22-2-2222-2-222222220000-222-2-2-22-2-2-22-2200000000-2-2-2-222-2-222000000000000000000000000000000000000000000000000000022-2-200
χ342222-2-222-222-22-2-2222-2-222222220000-222-2-2-22-2-2-22-2200000000-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000-2-22200
χ352222-2-22-12-2-222-2-2-1-12-2-2-121111-100001-1-1111-1112-22-200000000-1-1-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−322-2-2000000-1-10011000000003−33−3000000
χ362222-2-22-12-2-222-2-2-1-12-2-2-121111-100001-1-1111-1112-22-200000000-1-1-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−3-2-2220000001100-1-100000000−33−33000000
χ372222-2-22-12-2-222-2-2-1-12-2-2-121111-100001-1-1111-1112-22-200000000-1-1-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−33322-2-2000000-1-1001100000000−33−33000000
χ382222-2-22-12-2-222-2-2-1-12-2-2-121111-100001-1-1111-1112-22-200000000-1-1-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333-2-2220000001100-1-1000000003−33−3000000
χ3922-2-22-22222-2-2-222-2-22-2-22-222-2-2200002-2-222-22-2-22-2-22000000002-222-2-2-2-2220000000000000000000000002-2-220000002-200-22000000000000000000
χ4022-2-22-22222-2-2-222-2-22-2-22-222-2-2200002-2-222-22-2-22-2-22000000002-222-2-2-2-222000000000000000000000000-222-2000000-22002-2000000000000000000
χ4122-2-22-222-2-222-222-2-22-2-22-2-2-222200002-2-222-22-2-2-222-200000000-22-2-22222-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ4222-2-22-222-2-222-222-2-22-2-22-2-2-222200002-2-222-22-2-2-222-200000000-22-2-22222-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4322-2-22-22-122-2-2-222112-2-2-1-2-1-111-10000-111-1-11-1112-2-2200000000-11-1-11111-1-133−3−333−3−333−3−3−3−333−3−333−3−3332-2-22000000-11001-1000000003−3−33000000
χ4422-2-22-22-122-2-2-222112-2-2-1-2-1-111-10000-111-1-11-1112-2-2200000000-11-1-11111-1-133−3−333−3−333−3−3−3−333−3−333−3−333-222-20000001-100-1100000000−333−3000000
χ4522-2-22-22-122-2-2-222112-2-2-1-2-1-111-10000-111-1-11-1112-2-2200000000-11-1-11111-1-1−3−333−3−333−3−33333−3−333−3−333−3−32-2-22000000-11001-100000000−333−3000000
χ4622-2-22-22-122-2-2-222112-2-2-1-2-1-111-10000-111-1-11-1112-2-2200000000-11-1-11111-1-1−3−333−3−333−3−33333−3−333−3−333−3−3-222-20000001-100-11000000003−3−33000000
χ4722-2-2-2222-22-22-2-2-2-2-22222-222-2-220000-2-2-2-2-22222-2-22200000000-22-2-2-2-2222200000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ4822-2-2-2222-22-22-2-2-2-2-22222-222-2-220000-2-2-2-2-22222-2-22200000000-22-2-2-2-222220000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ4922-2-2-222-12-22-2-2-2-211222-1-211-1-1-122-2-211111-1-1-1-122-2-22222-2-2-2-2-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111112-22-2000000-112-2-1100000000-1-111000000
χ5022-2-2-222-12-22-2-2-2-211222-1-211-1-1-122-2-211111-1-1-1-122-2-22222-2-2-2-2-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-22-220000001-1-221-10000000011-1-1000000
χ5122-2-2-222-12-22-2-2-2-211222-1-211-1-1-1-2-22211111-1-1-1-122-2-2-2-2-2-22222-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-12-22-2000000-11-22-110000000011-1-1000000
χ5222-2-2-222-12-22-2-2-2-211222-1-211-1-1-1-2-22211111-1-1-1-122-2-2-2-2-2-22222-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-22-220000001-12-21-100000000-1-111000000
χ5322-2-2-22-122-22-2111-2-2-1-1-121-2-222-122-2-2-211112-1-1-1-1-111-1-1-1-111112-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i−2i−2i2i−2i000000−i−iii−i−iii0000000000
χ5422-2-2-22-122-22-2111-2-2-1-1-121-2-222-122-2-2-211112-1-1-1-1-111-1-1-1-111112-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i2i2i−2i2i000000ii−i−iii−i−i0000000000
χ5522-2-2-22-122-22-2111-2-2-1-1-121-2-222-1-2-222-211112-1-1-1-1-1111111-1-1-1-12-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100002i2i−2i−2i−2i2i000000−i−iiiii−i−i0000000000
χ5622-2-2-22-122-22-2111-2-2-1-1-121-2-222-1-2-222-211112-1-1-1-1-1111111-1-1-1-12-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000−2i−2i2i2i2i−2i000000ii−i−i−i−iii0000000000
χ5722-2-2-22-12-22-22111-2-2-1-1-12122-2-2-10000-211112-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3-221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i00000000−iii−i3−3−330000000000
χ5822-2-2-22-12-22-22111-2-2-1-1-12122-2-2-10000-211112-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3-221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i00000000i−i−ii−333−30000000000
χ5922-2-2-22-12-22-22111-2-2-1-1-12122-2-2-10000-211112-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3-221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i00000000−iii−i−333−30000000000
χ6022-2-2-22-12-22-22111-2-2-1-1-12122-2-2-10000-211112-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3-221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i00000000i−i−ii3−3−330000000000
χ614444444-2-4-4-4-4444-2-2444-242222-20000-2-2-2-2-2-2-2-2-2-4-4-4-40000000022222222220000000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111110000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-222222222-2-2111111112222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222−2i3−2i32i32i3−2i3−2i32i32i322-1-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-211122222i32i3−2i3−2i32i32i3−2i3−2i322-1-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-4-44-2-444-44-4-4-2-24-4-4-24-2-2-2-2-200002-2-2222-222-44-44000000002222-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-22244-2224-2-4-4-4-4-20000-4-2-222-4-222-22-220000000044-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-22244-2224-24444-20000-4-2-222-4-2222-22-200000000-4-422-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-222-2-2-222-2-2222210000211-1-121-1-1-22-2200000000-2-211-1-111-1-12323−23−23−3−333−3−3332323−23−23−3−333−3−3330000000000000000000000000000000000
χ704444-4-4-2-24-4-44-222-2-2-222-2-2222210000211-1-121-1-1-22-2200000000-2-211-1-111-1-1−23−23232333−3−333−3−3−23−23232333−3−333−3−30000000000000000000000000000000000
χ714444-4-4-2-2-444-4-222-2-2-222-2-2-2-2-2-210000211-1-121-1-12-22-20000000022-1-111-1-11100003i3i−3i−3i−3i−3i3i3i00003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
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χ1204-4-4400-2-2000022i3−2i32-22−2i32i32-2−232323−231-222-20-11−i3i30-1i3−i300001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i3003i−3i−33−3i3i3−31−3−1+31+3−1−3−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−1+31−3−1−31+3ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ110000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.