Finite Group Databasebeta

← Group #11789730

Character table — Group #11789730

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order12442223344466661212121212123666666668888121212121212121212242424242424242444441212121212121212661212242424242424242424242424448888121212122424242424242424888824242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−iii−i−iiiii−i−i−i−i1-11-1ii−i−iiiii−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-11-1i−i
χ1011-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−iii−i−iiiii−i−i−i−i1-11-1ii−i−iiiii−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-1−ii-11−i−iii-1-111-11−ii
χ1111-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i−i−iii−i−i−i−iiiii1-11-1ii−i−iiiii−i−i−i−i−ii-1-111−i−iii-1-1-1-11111i−i1-1ii−i−i11-1-1-11−ii
χ1211-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11ii−i−i11-1-111-1-11iiii−i−i−i−i−i−iii−i−i−i−iiiii1-11-1ii−i−iiiii−i−i−i−i−ii-1-111−i−iii-1-1-1-11111−ii-11−i−iii-1-1111-1i−i
χ1311-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiiiii−i−iiiii−i−i−i−i1-11-1−i−iii−i−i−i−iiiiii−i-1-111ii−i−i-1-1-1-11111i−i-11ii−i−i-1-1111-1−ii
χ1411-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiiiii−i−iiiii−i−i−i−i1-11-1−i−iii−i−i−i−iiiiii−i-1-111ii−i−i-1-1-1-11111−ii1-1−i−iii11-1-1-11i−i
χ1511-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii−i−iii−i−i−i−iiiii1-11-1−i−iii−i−i−i−iiiii−ii11-1-1−i−iii1111-1-1-1-1i−i-11ii−i−i-1-111-11i−i
χ1611-1-11-1-111-11111-1-1-1-111-1-1111-1-1-1-1-11−i−iii11-1-111-1-11−i−i−i−iiiii−i−iii−i−i−i−iiiii1-11-1−i−iii−i−i−i−iiiii−ii11-1-1−i−iii1111-1-1-1-1−ii1-1−i−iii11-1-11-1−ii
χ1722222222-12222-1222222-1-1-12-12-1-1-1-1-122222-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-12222-1222222-1-1-12-12-1-1-1-1-122222-12-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ1922222222-12222-1222222-1-1-12-12-1-1-1-1-1-2-2-2-22-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100000000000000000022-2-2-1-1-1-111110000
χ2022222222-12222-1222222-1-1-12-12-1-1-1-1-1-2-2-2-22-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000000000000000-2-2221111-1-1-1-10000
χ212222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-1-2-2-2-2-12-12-1-1-1-12111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-2-2-1-1-1-1111111110000000000000000
χ242222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-1-2-2-2-2-12-12-1-1-1-1211111111-2-2-2-211111111-1-1-1-1-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-2222-2-222-2-222-2-222222-2-2-2-2-220000-2-222-2-222-2000000000000000000002-2-22000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ2622222-2-2222-2-222-2-222-2-222222-2-2-2-2-220000-2-222-2-222-2000000000000000000002-2-2200000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2722222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2−i3−i3i3i3−i3−i3i3i3000033−3−333−3−3-111-10000−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i3−33−3−i−iii−i−iii0000000000000000
χ2822222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2−i3−i3i3i3−i3−i3i3i30000−3−333−3−333-111-10000−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i−33−33ii−i−iii−i−i0000000000000000
χ2922222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2i3i3−i3−i3i3i3−i3−i3000033−3−333−3−3-111-10000i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i3−33−3ii−i−iii−i−i0000000000000000
χ3022222-2-2-122-2-2-1211-1-11122-1-121-2-211-100001-2-1211-1-1-2i3i3−i3−i3i3i3−i3−i30000−3−333−3−333-111-10000i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i−33−33−i−iii−i−iii0000000000000000
χ312222-22-222-22-222222222222-2-2-22-22220000-22-2-22222-200000000222222222222-2-2-2-2000000000000-2-20000-2-2-2-2000000000000000000000000
χ322222-22-222-22-222222222222-2-2-22-22220000-22-2-22222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200002222000000000000000000000000
χ332222-22-2-12-22-2-12-1-1-1-1-1-122-11-212-2-1-1-10000121-2-1-1-1-1-2−i3i3−i3i3−i3i3−i3i32222-1-1-1-1-1-1-1-111110000−i3i3−i3i3−i3i3−i3i3-2-200001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ342222-22-2-12-22-2-12-1-1-1-1-1-122-11-212-2-1-1-10000121-2-1-1-1-1-2−i3i3−i3i3−i3i3−i3i3-2-2-2-21111111111110000−i3i3−i3i3−i3i3−i3i3220000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ352222-22-2-12-22-2-12-1-1-1-1-1-122-11-212-2-1-1-10000121-2-1-1-1-1-2i3−i3i3−i3i3−i3i3−i32222-1-1-1-1-1-1-1-111110000i3−i3i3−i3i3−i3i3−i3-2-200001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ362222-22-2-12-22-2-12-1-1-1-1-1-122-11-212-2-1-1-10000121-2-1-1-1-1-2i3−i3i3−i3i3−i3i3−i3-2-2-2-21111111111110000i3−i3i3−i3i3−i3i3−i3220000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ372222-2-2222-2-2222-2-222-2-2222-2-22-22-2-222-22-22-2-2-2-2-22222-2-222-2-22000000000000-222-22-22-22-2-222-2-220000000000000000000000000000000000
χ382222-2-2222-2-2222-2-222-2-2222-2-22-22-2-22-22-222-2-2-2-2-2222-222-2-222-2000000000000-222-2-22-22-222-2-222-20000000000000000000000000000000000
χ392222-2-222-1-2-222-1-2-222-2-2-1-1-1-2121-111-12-22-221-2111-1-1-12-2-222-2-220000000000001-1-11-11-11-111-1-111-10000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ402222-2-222-1-2-222-1-2-222-2-2-1-1-1-2121-111-12-22-221-2111-1-1-12-2-222-2-220000000000001-1-11-11-11-111-1-111-10000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ412222-2-222-1-2-222-1-2-222-2-2-1-1-1-2121-111-1-22-2221-2111-1-1-1-222-2-222-20000000000001-1-111-11-11-1-111-1-110000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ422222-2-222-1-2-222-1-2-222-2-2-1-1-1-2121-111-1-22-2221-2111-1-1-1-222-2-222-20000000000001-1-111-11-11-1-111-1-110000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ432222-2-22-12-2-22-1211-1-11122-11-2-1-2211-12-22-2-1-21-211-1-12-111-1-111-1000033−3−333−3−31-1-112-22-2-111-1-111-1000000−33−333−3−333−3−330000000000000000
χ442222-2-22-12-2-22-1211-1-11122-11-2-1-2211-12-22-2-1-21-211-1-12-111-1-111-10000−3−333−3−3331-1-112-22-2-111-1-111-10000003−33−3−333−3−333−30000000000000000
χ452222-2-22-12-2-22-1211-1-11122-11-2-1-2211-1-22-22-1-21-211-1-121-1-111-1-11000033−3−333−3−31-1-11-22-221-1-111-1-11000000−33−33−333−3−333−30000000000000000
χ462222-2-22-12-2-22-1211-1-11122-11-2-1-2211-1-22-22-1-21-211-1-121-1-111-1-110000−3−333−3−3331-1-11-22-221-1-111-1-110000003−33−33−3−333−3−330000000000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-20000000000000000000022-2-200000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4922-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-233−3−3−3−3330000−i3−i3i3i3i3i3−i3−i3-1-111000033−3−3−3−33300−2i2i2i−2i−i3i3i3−i3ii−i−i−i−iii0000000000000000
χ5022-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-233−3−3−3−3330000i3i3−i3−i3−i3−i3i3i3-1-111000033−3−3−3−333002i−2i−2i2ii3−i3−i3i3−i−iiiii−i−i0000000000000000
χ5122-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-2−3−33333−3−30000−i3−i3i3i3i3i3−i3−i3-1-1110000−3−33333−3−3002i−2i−2i2i−i3i3i3−i3−i−iiiii−i−i0000000000000000
χ5222-2-2222-12-2-2-2-12-1-11111-2-2-1-12-122-1-1-100001-21-21111-2−3−33333−3−30000i3i3−i3−i3−i3−i3i3i3-1-1110000−3−33333−3−300−2i2i2i−2ii3−i3−i3i3ii−i−i−i−iii0000000000000000
χ5322-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-12i2i−2i−2i2-1-21-1-111-12i2i2i2i−2i−2i−2i−2i000000000000-11-11−i−iii−i−i−i−iiiii0000000000000000002i−2i2-2−i−iii-1-1110000
χ5422-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-12i2i−2i−2i2-1-21-1-111-12i2i2i2i−2i−2i−2i−2i000000000000-11-11−i−iii−i−i−i−iiiii000000000000000000−2i2i-22ii−i−i11-1-10000
χ5522-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-1−2i−2i2i2i2-1-21-1-111-1−2i−2i−2i−2i2i2i2i2i000000000000-11-11ii−i−iiiii−i−i−i−i0000000000000000002i−2i-22−i−iii11-1-10000
χ5622-2-22-2-22-1-2222-1-2-2-2-22211-12-1-21111-1−2i−2i2i2i2-1-21-1-111-1−2i−2i−2i−2i2i2i2i2i000000000000-11-11ii−i−iiiii−i−i−i−i000000000000000000−2i2i2-2ii−i−i-1-1110000
χ5722-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-12i2i−2i−2i-121-2-1-1112−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii-11-112i2i−2i−2i−i−i−i−iiiii2i−2i22-2-2−i−iii-1-1-1-111110000000000000000
χ5822-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-12i2i−2i−2i-121-2-1-1112−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i-11-112i2i−2i−2i−i−i−i−iiiii−2i2i-2-222ii−i−i1111-1-1-1-10000000000000000
χ5922-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-1−2i−2i2i2i-121-2-1-1112iiii−i−i−i−i2i2i−2i−2i−i−i−i−iiiii-11-11−2i−2i2i2iiiii−i−i−i−i2i−2i-2-222−i−iii1111-1-1-1-10000000000000000
χ6022-2-22-2-2-12-222-121111-1-1-2-2-1-121-2-211-1−2i−2i2i2i-121-2-1-1112iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i-11-11−2i−2i2i2iiiii−i−i−i−i−2i2i22-2-2ii−i−i-1-1-1-111110000000000000000
χ6122-2-2-22-2222-222222-2-2-2-2-2-22-2-2-22-22222i−2i−2i2i2-222-2-2-2-222i−2i−2i2i−2i2i2i−2i000000000000-2-2222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ6222-2-2-22-2222-222222-2-2-2-2-2-22-2-2-22-2222−2i2i2i−2i2-222-2-2-2-22−2i2i2i−2i2i−2i−2i2i000000000000-2-222−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ6322-2-2-22-22-12-222-122-2-2-2-211-1-21-2-11-1-1-12i−2i−2i2i212-11111-12i−2i−2i2i−2i2i2i−2i00000000000011-1-1−iii−i−iii−ii−i−ii00000000000000000000003−3−33−i3i3i3−i30000
χ6422-2-2-22-22-12-222-122-2-2-2-211-1-21-2-11-1-1-12i−2i−2i2i212-11111-12i−2i−2i2i−2i2i2i−2i00000000000011-1-1−iii−i−iii−ii−i−ii0000000000000000000000−333−3i3−i3−i3i30000
χ6522-2-2-22-22-12-222-122-2-2-2-211-1-21-2-11-1-1-1−2i2i2i−2i212-11111-1−2i2i2i−2i2i−2i−2i2i00000000000011-1-1i−i−iii−i−ii−iii−i00000000000000000000003−3−33i3−i3−i3i30000
χ6622-2-2-22-22-12-222-122-2-2-2-211-1-21-2-11-1-1-1−2i2i2i−2i212-11111-1−2i2i2i−2i2i−2i−2i2i00000000000011-1-1i−i−iii−i−ii−iii−i0000000000000000000000−333−3−i3i3i3−i30000
χ6722-2-2-22-2-122-22-12-1-11111-2-2-11-212-2-1-1-12i−2i−2i2i-1-2-1211112−iii−ii−i−ii0000−i3−i3i3i3i3i3−i3−i311-1-12i−2i−2i2i−iii−ii−i−ii000000i3−i3−i3i3−333−33−3−330000000000000000
χ6822-2-2-22-2-122-22-12-1-11111-2-2-11-212-2-1-1-12i−2i−2i2i-1-2-1211112−iii−ii−i−ii0000i3i3−i3−i3−i3−i3i3i311-1-12i−2i−2i2i−iii−ii−i−ii000000−i3i3i3−i33−3−33−333−30000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.