Finite Group Databasebeta

← Group #11787883

Character table — Group #11787883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666666666121212123444466666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244442266666666881212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1
χ911-1-1-111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1-111-1-111-1-1i−iii−i−iii−i−iii−i−ii−i
χ1011-1-1-111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1-111-1-111-1-1−ii−i−iii−i−iii−i−iii−ii
χ1111-1-1-111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-11-1-111-1-111i−iii−i−iii−i−i−i−iii−ii
χ1211-1-1-111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-11-1-111-1-111−ii−i−iii−i−iiiii−i−ii−i
χ1311-1-1-111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1ii−i−i-1111-1-1-1-111−iiii−i−i−i−iiiii−i−i−ii
χ1411-1-1-111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1−i−iii-1111-1-1-1-111i−i−i−iiiii−i−i−i−iiii−i
χ1511-1-1-111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111ii−i−i1-1-1-11111-1-1−iiii−i−i−i−iii−i−iiii−i
χ1611-1-1-111111-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111−i−iii1-1-1-11111-1-1i−i−i−iiiii−i−iii−i−i−ii
χ1722222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002-22-20000002-22-200000000000000000000
χ1822222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000-22-22000000-22-2200000000000000000000
χ192222222-12222-1-1-1-12-1-1-1222222-122222-1-1-1-12-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-10000000000000000
χ202222222-12222-1-1-1-12-1-1-1222222-122222-1-1-1-12-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111111110000000000000000
χ212222222-12222-1-1-1-12-1-1-1222222-1-2-2-2-22-1-1-1-12-1-1-12-1-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-21111111122220000-2-2-1-1-1-111110000000000000000
χ222222222-12222-1-1-1-12-1-1-1222222-1-2-2-2-22-1-1-1-12-1-1-12-1-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-20000221111-1-1-1-10000000000000000
χ232222222-1-2-2-2-2-1-1-1-12-1-1-122-2-2-2-2-100002-1-1-1-12-1-1-1-211-211−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i32-22-2000000-11-11−i3i3−i3i30000000000000000
χ242222222-1-2-2-2-2-1-1-1-12-1-1-122-2-2-2-2-100002-1-1-1-12-1-1-1-211-211−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3-22-220000001-11-1i3−i3i3−i30000000000000000
χ252222222-1-2-2-2-2-1-1-1-12-1-1-122-2-2-2-2-100002-1-1-1-12-1-1-1-211-211i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-22-2000000-11-11i3−i3i3−i30000000000000000
χ262222222-1-2-2-2-2-1-1-1-12-1-1-122-2-2-2-2-100002-1-1-1-12-1-1-1-211-211i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-22-220000001-11-1−i3i3−i3i30000000000000000
χ27222222-1222222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000022-1-1-1-1-1-1-1-1000000
χ28222222-1222222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000-2-211111111000000
χ29222222-1222222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111000022220000000000-2-2-1-1-1-11111000000
χ30222222-1222222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111111111110000-2-2-2-20000000000221111-1-1-1-1000000
χ312222-2-2222-22-222-2-222-2-222222220000-222-2-2-22-2-2-22-2-22-20000000022-2-222-2-200000000000000000000000000000000000000000000000000002-22-200
χ322222-2-2222-22-222-2-222-2-222222220000-222-2-2-22-2-2-22-2-22-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000-22-2200
χ332222-2-222-22-2222-2-222-2-222-2-2-2-220000-222-2-2-22-2-22-222-2200000000-2-222-2-22200000000000000000000000000002-22-20000000000002-22-20000000000
χ342222-2-222-22-2222-2-222-2-222-2-2-2-220000-222-2-2-22-2-22-222-2200000000-2-222-2-2220000000000000000000000000000-22-22000000000000-22-220000000000
χ352222-2-2-12-22-2222-2-2-12-2-2-1-11111-100001-1-1111-111-1-22-1-220000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−300002-22-2000000000000-11-113−33−3000000
χ362222-2-2-12-22-2222-2-2-12-2-2-1-11111-100001-1-1111-111-1-22-1-220000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−30000-22-220000000000001-11-1−33−33000000
χ372222-2-2-12-22-2222-2-2-12-2-2-1-11111-100001-1-1111-111-1-22-1-220000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−33300002-22-2000000000000-11-11−33−33000000
χ382222-2-2-12-22-2222-2-2-12-2-2-1-11111-100001-1-1111-111-1-22-1-220000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−3330000-22-220000000000001-11-13−33−3000000
χ3922-2-22-2222-2-22-2-22222-2-2-2-222-2-2200002-2-222-22-2-2-22-22-220000000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ4022-2-22-2222-2-22-2-22222-2-2-2-222-2-2200002-2-222-22-2-2-22-22-220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4122-2-22-222-222-2-2-22222-2-2-2-2-2-222200002-2-222-22-2-22-22-22-200000000-2-22222-2-200000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ4222-2-22-222-222-2-2-22222-2-2-2-2-2-222200002-2-222-22-2-22-22-22-200000000-2-22222-2-20000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ4322-2-22-2-12-222-2-2-222-12-2-21111-1-1-10000-111-1-11-111-1-2212-20000000011-1-1-1-11133−3−333−3−333−3−3−3−333−3−333−3−33300002i−2i−2i2i000000000000−iii−ii3−i3−i3i3000000
χ4422-2-22-2-12-222-2-2-222-12-2-21111-1-1-10000-111-1-11-111-1-2212-20000000011-1-1-1-11133−3−333−3−333−3−3−3−333−3−333−3−3330000−2i2i2i−2i000000000000i−i−ii−i3i3i3−i3000000
χ4522-2-22-2-12-222-2-2-222-12-2-21111-1-1-10000-111-1-11-111-1-2212-20000000011-1-1-1-111−3−333−3−333−3−33333−3−333−3−333−3−300002i−2i−2i2i000000000000−iii−i−i3i3i3−i3000000
χ4622-2-22-2-12-222-2-2-222-12-2-21111-1-1-10000-111-1-11-111-1-2212-20000000011-1-1-1-111−3−333−3−333−3−33333−3−333−3−333−3−30000−2i2i2i−2i000000000000i−i−iii3−i3−i3i3000000
χ4722-2-2-2222-2-222-2-2-2-22222-2-2-2-22220000-2-2-2-2-22222-2-2-222200000000-2-2-2-222220000000000000000000000002-2-220000002-2-2200000000000000000000
χ4822-2-2-2222-2-222-2-2-2-22222-2-2-2-22220000-2-2-2-2-22222-2-2-222200000000-2-2-2-22222000000000000000000000000-222-2000000-222-200000000000000000000
χ4922-2-2-222-122-2-211112-1-1-1-2-222-2-2-122-2-2-211112-1-1-12-1-1-211-1-1-1-11111-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-200002-2-1-111-1-1110000000000000000
χ5022-2-2-222-122-2-211112-1-1-1-2-222-2-2-122-2-2-211112-1-1-12-1-1-211-1-1-1-11111-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2220000-2211-1-111-1-10000000000000000
χ5122-2-2-222-122-2-211112-1-1-1-2-222-2-2-1-2-222-211112-1-1-12-1-1-2111111-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-20000-22-1-11111-1-10000000000000000
χ5222-2-2-222-122-2-211112-1-1-1-2-222-2-2-1-2-222-211112-1-1-12-1-1-2111111-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-22200002-211-1-1-1-1110000000000000000
χ5322-2-2-222-1-2-22211112-1-1-1-2-2-2-222-10000-211112-1-1-1-2112-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i32-2-22000000-111-1−i3i3i3−i30000000000000000
χ5422-2-2-222-1-2-22211112-1-1-1-2-2-2-222-10000-211112-1-1-1-2112-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-222-20000001-1-11i3−i3−i3i30000000000000000
χ5522-2-2-222-1-2-22211112-1-1-1-2-2-2-222-10000-211112-1-1-1-2112-1-1i3i3−i3−i3−i3−i3i3i31111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i32-2-22000000-111-1i3−i3−i3i30000000000000000
χ5622-2-2-222-1-2-22211112-1-1-1-2-2-2-222-10000-211112-1-1-1-2112-1-1i3i3−i3−i3−i3−i3i3i31111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-222-20000001-1-11−i3i3i3−i30000000000000000
χ5722-2-2-22-1222-2-2-2-2-2-2-122211-1-111-122-2-211111-1-1-1-1-1221-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111100002i2i−2i−2i00000000002i−2i−i−iii−i−iii000000
χ5822-2-2-22-1222-2-2-2-2-2-2-122211-1-111-122-2-211111-1-1-1-1-1221-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111110000−2i−2i2i2i0000000000−2i2iii−i−iii−i−i000000
χ5922-2-2-22-1222-2-2-2-2-2-2-122211-1-111-1-2-22211111-1-1-1-1-1221-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-100002i2i−2i−2i0000000000−2i2i−i−iiiii−i−i000000
χ6022-2-2-22-1222-2-2-2-2-2-2-122211-1-111-1-2-22211111-1-1-1-1-1221-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-10000−2i−2i2i2i00000000002i−2iii−i−i−i−iii000000
χ61444444-24-4-4-4-44444-2444-2-22222-20000-2-2-2-2-2-2-2-2-22-4-42-4-400000000222222220000000000000000000000000000000000000000000000000000000000
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
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-2111222222−2i3−2i32i32i3−2i3−2i32i32i3-1-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-4-44-24-44-4-2-2224-222444444-20000-4-2-222-4-222-4-22-4-2200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ674444-4-44-2-44-44-2-2224-22244-4-4-4-4-20000-4-2-222-4-22242-242-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ684444-4-4-244-44-444-4-4-24-4-4-2-2-2-2-2-2-200002-2-2222-22224-424-400000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-222-2-222-2-2-2-2-2-210000211-1-121-1-12-222-220000000011-1-111-1-100003i3i−3i−3i−3i−3i3i3i00003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-222-2-222-2-2-2-2-2-210000211-1-121-1-12-222-220000000011-1-111-1-10000−3i−3i3i3i3i3i−3i−3i0000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-222-2-222-2-2222210000211-1-121-1-1-22-2-22-200000000-1-111-1-1112323−23−23−3−333−3−3332323−23−23−3−333−3−3330000000000000000000000000000000000
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χ1204-4-4400-2-200002-22i3−2i322−2i32i32-2−232323−231-222-20-11−i3i30-1i3−i30000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i33−3−3i3i−333i−3i1+3−1−31−3−1+3−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−1−31+3−1+31−3ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ110000000000000000000000000000000000

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