Finite Group Databasebeta

← Group #11785328

Character table — Group #11785328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122244442233446666661212121212121212344446666666121212121212121212121212121212124444121212121212121266121212121212121212121212121222444444446666121212121212121212121212121212128824242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1ii−i−i111111-1-1-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1−i−iii111111-1-1-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1111111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1111111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111ii−i−i-1-1-1-111-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111−i−iii-1-1-1-111-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-1-1ii−i−i1111-1-111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-1-1−i−iii1111-1-111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ1722222222222-122222-1-1-122-1-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-122222-1-1-122-1-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ1922222222222-122222-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1222-1-111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-222-2-200001111-1-1-1-1111100000000000000000000
χ2022222222222-122222-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1222-1-111111111-1-1-1-1-2-2-2-211111111-1-1-2-2-2-2-1-11111111122-2-2220000-1-1-1-11111-1-1-1-100000000000000000000
χ212222222222-1222-1-1-1222-1-12222-1-1-12222-122-1-1-1-1-1-12222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ222222222222-1222-1-1-1222-1-12222-1-1-12222-122-1-1-1-1-1-12222222222-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ232222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1000000000000-1-11111-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ242222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1000000000000-1-11111-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2522222222-2-222-2-22222222222222220000-2-2-2222-2-2-2-2-2000000002222222222222222-2-20000-2-20000000000-2-20000000000-2-2-2-2000000000000000000000000
χ2622222222-2-222-2-22222222222222220000-2-2-2222-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-200000000002200000000002222000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-1-1-122-10000-211-1-1-1-2-2-211−i3−i3i3i3−i3−i3i3i3-1-1-1-12222-1-1-1-1-1-1-1-111000011−i3−i3i3i3−i3−i3i3i300-2-2000000−i3−i3i3i31111−i3−i3i3i300000000000000000000
χ2822222222-2-22-1-2-2222-1-1-122-1-1-1-122-10000-211-1-1-1-2-2-211−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-2-2-21111111111000011−i3−i3i3i3−i3−i3i3i30022000000i3i3−i3−i3-1-1-1-1i3i3−i3−i300000000000000000000
χ2922222222-2-22-1-2-2222-1-1-122-1-1-1-122-10000-211-1-1-1-2-2-211i3i3−i3−i3i3i3−i3−i3-1-1-1-12222-1-1-1-1-1-1-1-111000011i3i3−i3−i3i3i3−i3−i300-2-2000000i3i3−i3−i31111i3i3−i3−i300000000000000000000
χ3022222222-2-22-1-2-2222-1-1-122-1-1-1-122-10000-211-1-1-1-2-2-211i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-2-2-21111111111000011i3i3−i3−i3i3i3−i3−i30022000000−i3−i3i3i3-1-1-1-1−i3−i3i3i300000000000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-200000000-2-2-2-222-2-22222-2-2-2-2220000-2-20000000000-220000000000-2-222000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-200000000-2-2-2-2-2-222-2-2-2-22222220000-2-200000000002-2000000000022-2-2000000000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-100002-1-1-1-1-12-2-211−i3−i3i3i3i3i3−i3−i3111122-2-2-1-1-1-11111-1-1000011−i3−i3i3i3i3i3−i3−i300-22000000−i3−i3i3i311-1-1i3i3−i3−i300000000000000000000
χ342222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-100002-1-1-1-1-12-2-211−i3−i3i3i3i3i3−i3−i31111-2-2221111-1-1-1-1-1-1000011−i3−i3i3i3i3i3−i3−i3002-2000000i3i3−i3−i3-1-111−i3−i3i3i300000000000000000000
χ352222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-100002-1-1-1-1-12-2-211i3i3−i3−i3−i3−i3i3i3111122-2-2-1-1-1-11111-1-1000011i3i3−i3−i3−i3−i3i3i300-22000000i3i3−i3−i311-1-1−i3−i3i3i300000000000000000000
χ362222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-100002-1-1-1-1-12-2-211i3i3−i3−i3−i3−i3i3i31111-2-2221111-1-1-1-1-1-1000011i3i3−i3−i3−i3−i3i3i3002-2000000−i3−i3i3i3-1-111i3i3−i3−i300000000000000000000
χ372222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-211-1-1-1-222-1-1-1-1-1-11111111122-2-2-1-1-1-111111122-2-2-1-1-1-1-1-11111222-2-2-20000-1-1-1-1-1-111111100000000000000000000
χ382222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-211-1-1-1-222-1-1-1-1-1-111111111-2-2221111-1-1-1-11122-2-2-1-1-1-1-1-11111-2-2-22220000111111-1-1-1-1-1-100000000000000000000
χ392222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-211-1-1-1-222-1-11111-1-1-1-1111122-2-2-1-1-1-1111111-2-222-1-11111-1-1-1-1-2-22-22200001111-1-111-1-1-1-100000000000000000000
χ402222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-211-1-1-1-222-1-11111-1-1-1-11111-2-2221111-1-1-1-111-2-222-1-11111-1-1-1-122-22-2-20000-1-1-1-111-1-1111100000000000000000000
χ412222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-21-2-2-1-1-11-1-1222222-2-2-2-2111100000000000011-1-111-1-1-1-1-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-21-2-2-1-1-11-1-1222222-2-2-2-2111100000000000011-1-111-1-1-1-1-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-2221-2-2-1-1-11-1-122-2-2-2-2222211110000000000001111-1-1-1-11111-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-2221-2-2-1-1-11-1-122-2-2-2-2222211110000000000001111-1-1-1-11111-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ4522-2-222-2-22-2222-22-2-22-2-22222-2-2-2-22000022-22-2-2-22-22-20000000022-2-20000000000002-200002-2000000002-2002-200002-22-200002-22-200000000000000000000
χ4622-2-222-2-22-2222-22-2-22-2-22222-2-2-2-22000022-22-2-2-22-22-20000000022-2-20000000000002-200002-200000000-2200-220000-22-220000-22-2200000000000000000000
χ4722-2-222-2-22-22-12-22-2-2-11122-1-111-2-2-100002-11-111-22-2-113−33−33−33−3-1-111000033−3−333−3−3-110000-113−33−33−33−32-2002-20000-11-113−33−3-11-1100000000000000000000
χ4822-2-222-2-22-22-12-22-2-2-11122-1-111-2-2-100002-11-111-22-2-113−33−33−33−3-1-1110000−3−333−3−333-110000-113−33−33−33−3-2200-2200001-11-1−33−331-11-100000000000000000000
χ4922-2-222-2-22-22-12-22-2-2-11122-1-111-2-2-100002-11-111-22-2-11−33−33−33−33-1-111000033−3−333−3−3-110000-11−33−33−33−33-2200-2200001-11-13−33−31-11-100000000000000000000
χ5022-2-222-2-22-22-12-22-2-2-11122-1-111-2-2-100002-11-111-22-2-11−33−33−33−33-1-1110000−3−333−3−333-110000-11−33−33−33−332-2002-20000-11-11−33−33-11-1100000000000000000000
χ5122-2-222-2-2-2222-222-2-22-2-22222-2-2-2-222i−2i2i−2i-2-222-2-22-22-222i−2i−2i2i2i−2i−2i2i22-2-2000000000000-222i−2i2i−2i-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ5222-2-222-2-2-2222-222-2-22-2-22222-2-2-2-22−2i2i−2i2i-2-222-2-22-22-22−2i2i2i−2i−2i2i2i−2i22-2-2000000000000-22−2i2i−2i2i-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ5322-2-222-2-2-222-1-222-2-2-11122-1-111-2-2-12i−2i2i−2i-21-1-1112-221-1−iii−i−iii−i-1-111000033−3−333−3−31-12i−2i2i−2i1-1−iii−i−iii−i0000000000−i3i3i3−i3−33−33−i3i3i3−i300000000000000000000
χ5422-2-222-2-2-222-1-222-2-2-11122-1-111-2-2-12i−2i2i−2i-21-1-1112-221-1−iii−i−iii−i-1-1110000−3−333−3−3331-12i−2i2i−2i1-1−iii−i−iii−i0000000000i3−i3−i3i33−33−3i3−i3−i3i300000000000000000000
χ5522-2-222-2-2-222-1-222-2-2-11122-1-111-2-2-1−2i2i−2i2i-21-1-1112-221-1i−i−iii−i−ii-1-111000033−3−333−3−31-1−2i2i−2i2i1-1i−i−iii−i−ii0000000000i3−i3−i3i3−33−33i3−i3−i3i300000000000000000000
χ5622-2-222-2-2-222-1-222-2-2-11122-1-111-2-2-1−2i2i−2i2i-21-1-1112-221-1i−i−iii−i−ii-1-1110000−3−333−3−3331-1−2i2i−2i2i1-1i−i−iii−i−ii0000000000−i3i3i3−i33−33−3−i3i3i3−i300000000000000000000
χ5722-2-222-2-2-22-12-22-1112-2-2-1-122-2-211-12i−2i2i−2i1-22-111-11-1-222i−2i−2i2i2i−2i−2i2i-1-1110000000000001-1−ii−ii1-1−iii−i−iii−i0000000000000000000000−i3−i3i3i3−i3−i3i3i3003−33−3000000
χ5822-2-222-2-2-22-12-22-1112-2-2-1-122-2-211-12i−2i2i−2i1-22-111-11-1-222i−2i−2i2i2i−2i−2i2i-1-1110000000000001-1−ii−ii1-1−iii−i−iii−i0000000000000000000000i3i3−i3−i3i3i3−i3−i300−33−33000000
χ5922-2-222-2-2-22-12-22-1112-2-2-1-122-2-211-1−2i2i−2i2i1-22-111-11-1-22−2i2i2i−2i−2i2i2i−2i-1-1110000000000001-1i−ii−i1-1i−i−iii−i−ii0000000000000000000000−i3−i3i3i3−i3−i3i3i300−33−33000000
χ6022-2-222-2-2-22-12-22-1112-2-2-1-122-2-211-1−2i2i−2i2i1-22-111-11-1-22−2i2i2i−2i−2i2i2i−2i-1-1110000000000001-1i−ii−i1-1i−i−iii−i−ii0000000000000000000000i3i3−i3−i3i3i3−i3−i3003−33−3000000
χ6122-2-2-2-2222-222-222-2-22-2-2-2-2-2-2222222i−2i−2i2i22-22-2-2-2-22-222i−2i−2i2i−2i2i2i−2i-2-2220000000000002-22i−2i−2i2i-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ6222-2-2-2-2222-222-222-2-22-2-2-2-2-2-222222−2i2i2i−2i22-22-2-2-2-22-22−2i2i2i−2i2i−2i−2i2i-2-2220000000000002-2−2i2i2i−2i-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ6322-2-2-2-2222-22-1-222-2-2-111-2-211-1-122-12i−2i−2i2i2-11-111-2-221-1−iii−ii−i−ii11-1-1000033−3−3−3−333-112i−2i−2i2i1-1−iii−ii−i−ii0000000000−i3i3i3−i3−333−3i3−i3−i3i300000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.