Finite Group Databasebeta

← Group #11787224

Character table — Group #11787224

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222444422334466666612121212121212123666666612121212121212122244446612121212121212121212121212121212121224444466668888121212121212121212121212246612122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-11ii−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-11−i−iii11-1-1−i−iii11-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-11ii−i−i11-1-1−i−iii11-1-1iiii−i−i−i−i-11-1-111−i−iiiii−i−i−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-11−i−iii11-1-1ii−i−i11-1-1−i−i−i−iiiii-11-1-111ii−i−i−i−iiiii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11-1ii−i−i-1-111ii−i−i-1-111iiii−i−i−i−i-11-1-111ii−i−i−i−iii−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11-1−i−iii-1-111−i−iii-1-111−i−i−i−iiiii-11-1-111−i−iiiii−i−iii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-111111-1ii−i−i-1-111−i−iii-1-111iiii−i−i−i−i1-111-1-1−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-111111-1−i−iii-1-111ii−i−i-1-111−i−i−i−iiiii1-111-1-1ii−i−iii−i−i−i−iii
χ1722222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-10000-1-1-1-10000000022-1-1-1-1000000000000
χ1822222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-12222-2-2-1-1-2-211-2-211-1-111111111220000-1-1-1-10000-1-1-1-100000000-2-21111000000000000
χ1922222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011110000111100000000-2-21111000000000000
χ2022222222222-122222-1-1-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-2-211-2-211-1-111111111-2-200001111000011110000000022-1-1-1-1000000000000
χ212222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002222000022220000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ222222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-2000011111111000000111100000000
χ232222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-1-111-2-211-2-2-1-1111111110022220000-2-2-2-20000-1-1-1-1-1-1-1-1000000111100000000
χ242222222222-1222-1-1-1222-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-1-111-2-211-2-2-1-11111111100-2-2-2-200002222000011111111000000-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222222200-2-200000000-2-200000000-2-2000022-2-20000-2-22200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-2-2-200-2-200000000-2-200000000220000-2-222000022-2-200000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-12222001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3-2-20000-1-111000011-1-10000000000−i3i3−i3i3000000000000
χ2822222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-12222001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-2-20000-1-111000011-1-10000000000i3−i3i3−i3000000000000
χ2922222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-2001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i322000011-1-10000-1-1110000000000i3−i3i3−i3000000000000
χ3022222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-2001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i322000011-1-10000-1-1110000000000−i3i3−i3i3000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2002200000000-2-2000000002-2000022220000-2-2-2-200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222002200000000-2-200000000-220000-2-2-2-20000222200000000000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111122-2-200-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i32-20000-1-1-1-1000011110000000000−i3i3i3−i3000000000000
χ342222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-211111122-2-200-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i32-20000-1-1-1-1000011110000000000i3−i3−i3i3000000000000
χ352222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-2111111-2-22200-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-22000011110000-1-1-1-10000000000i3−i3−i3i3000000000000
χ362222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-1-1-1-1-12-2-2111111-2-22200-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3-22000011110000-1-1-1-10000000000−i3i3i3−i3000000000000
χ372222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-1111122-2-22-21122-1-1-2-211-1-1-1-1-1-11111-220000-1-1110000-1-111000000002-2-1-111000000000000
χ382222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-1111122-2-2-2211-2-21122-1-1-1-11111-1-1-1-1-220000-1-1110000-1-11100000000-2211-1-1000000000000
χ392222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-11111-2-2222-21122-1-1-2-211-1-1-1-1-1-111112-2000011-1-1000011-1-100000000-2211-1-1000000000000
χ402222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-211-1-1-1-222-1-11111-2-222-2211-2-21122-1-1-1-11111-1-1-1-12-2000011-1-1000011-1-1000000002-2-1-111000000000000
χ412222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-122111100002-211-1-12211-2-2-1-1-1-1-1-11111002i2i−2i−2i00002i2i−2i−2i0000−i−i−i−iiiii000000−i−iii00000000
χ422222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-122111100002-211-1-12211-2-2-1-1-1-1-1-1111100−2i−2i2i2i0000−2i−2i2i2i0000iiii−i−i−i−i000000ii−i−i00000000
χ432222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-12211110000-221111-2-2-1-122-1-11111-1-1-1-1002i2i−2i−2i0000−2i−2i2i2i0000−i−i−i−iiiii000000ii−i−i00000000
χ442222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-11-2-2-1-1-11-1-12211110000-221111-2-2-1-122-1-11111-1-1-1-100−2i−2i2i2i00002i2i−2i−2i0000iiii−i−i−i−i000000−i−iii00000000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i2i−2i−2i2i−2i20002-2-2000002i2i−2i−2i2-22i−2i0000000000000000000000001+i−1−i1−i−1+i2-2000000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000001+i−1−i1−i−1+i0000
χ4622-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i2i−2i−2i2i−2i20002-2-2000002i2i−2i−2i2-22i−2i000000000000000000000000−1−i1+i−1+i1−i2-2000000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−1−i1+i−1+i1−i0000
χ4722-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i2i−2i−2i2i−2i20002-2-2000002i2i−2i−2i-22−2i2i0000000000000000000000001+i−1−i1−i−1+i-2200000000−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000−1−i1+i−1+i1−i0000
χ4822-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i2i−2i−2i2i−2i20002-2-2000002i2i−2i−2i-22−2i2i000000000000000000000000−1−i1+i−1+i1−i-2200000000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000001+i−1−i1−i−1+i0000
χ4922-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i−2i2i2i−2i2i20002-2-200000−2i−2i2i2i2-2−2i2i0000000000000000000000001−i−1+i1+i−1−i2-200000000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000001−i−1+i1+i−1−i0000
χ5022-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i−2i2i2i−2i2i20002-2-200000−2i−2i2i2i2-2−2i2i000000000000000000000000−1+i1−i−1−i1+i2-200000000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000−1+i1−i−1−i1+i0000
χ5122-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i−2i2i2i−2i2i20002-2-200000−2i−2i2i2i-222i−2i0000000000000000000000001−i−1+i1+i−1−i-22000000002i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000−1+i1−i−1−i1+i0000
χ5222-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i−2i2i2i−2i2i20002-2-200000−2i−2i2i2i-222i−2i000000000000000000000000−1+i1−i−1−i1+i-22000000002i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000001−i−1+i1+i−1−i0000
χ532-2-2222-2-22-2222-2-22-2-2-22222-22-2-2-22-22-2-22-222-22-22-22-20000002-2000000002-20000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i00000000
χ542-2-2222-2-22-2222-2-22-2-2-22222-22-2-2-22-22-2-22-222-22-22-22-20000002-2000000002-2000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i00000000
χ552-2-2222-2-22-2-122-21-11-2-22-1-12-22-211-112-21-11-1-112-2-11-11000000-113−3003−300-113−33−33−33−300000000002i−2i2i−2i0000−i3i3−i3i3−i3i3−i3i3000000−ii−ii00000000
χ562-2-2222-2-22-2-122-21-11-2-22-1-12-22-211-112-21-11-1-112-2-11-11000000-113−3003−300-113−33−33−33−30000000000−2i2i−2i2i0000i3−i3i3−i3i3−i3i3−i3000000i−ii−i00000000
χ572-2-2222-2-22-2-122-21-11-2-22-1-12-22-211-112-21-11-1-112-2-11-11000000-11−3300−3300-11−33−33−33−3300000000002i−2i2i−2i0000i3−i3i3−i3i3−i3i3−i3000000−ii−ii00000000
χ582-2-2222-2-22-2-122-21-11-2-22-1-12-22-211-112-21-11-1-112-2-11-11000000-11−3300−3300-11−33−33−33−330000000000−2i2i−2i2i0000−i3i3−i3i3−i3i3−i3i3000000i−ii−i00000000
χ592-2-2222-2-2-2222-22-22-2-2-22222-22-2-2-222-22-22-2-2-22-222-22-2000000-2200000000-220000000000000000000000000000000000000000000000002i−2i2i−2i
χ602-2-2222-2-2-2222-22-22-2-2-22222-22-2-2-222-22-22-2-2-22-222-22-2000000-2200000000-22000000000000000000000000000000000000000000000000−2i2i−2i2i
χ612-2-22-2-2222-222-22-22-2-2-22-2-2-22-22222-22-2-22-22-22-22-22-220000002-200000000-220000000000000000000000000000000000000000000000002-2-22
χ622-2-22-2-2222-222-22-22-2-2-22-2-2-22-22222-22-2-22-22-22-22-22-220000002-200000000-22000000000000000000000000000000000000000000000000-222-2
χ632-2-22-2-222-22222-2-22-2-2-22-2-2-22-222222-22-22-2-22-22-2-22-22000000-22000000002-20000000000000000002-2-220000000000000000002-2-2200000000
χ642-2-22-2-222-22222-2-22-2-2-22-2-2-22-222222-22-22-2-22-22-2-22-22000000-22000000002-2000000000000000000-222-2000000000000000000-222-200000000
χ652-2-22-2-222-22-122-21-11-2-2211-22-22-1-1-1-1-221-111-112-21-11-10000001-13−300−3300-113−33−3−33−3300000000002-2-220000−33−333−33−3000000-111-100000000
χ662-2-22-2-222-22-122-21-11-2-2211-22-22-1-1-1-1-221-111-112-21-11-10000001-13−300−3300-113−33−3−33−330000000000-222-200003−33−3−33−330000001-1-1100000000
χ672-2-22-2-222-22-122-21-11-2-2211-22-22-1-1-1-1-221-111-112-21-11-10000001-1−33003−300-11−33−333−33−300000000002-2-2200003−33−3−33−33000000-111-100000000
χ682-2-22-2-222-22-122-21-11-2-2211-22-22-1-1-1-1-221-111-112-21-11-10000001-1−33003−300-11−33−333−33−30000000000-222-20000−33−333−33−30000001-1-1100000000
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2111100004411-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000000000
χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211110000-4-4112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-4-4-24-4-4-2-2-2444-2-24444-2-2-22-4-4-2-2-2222-4-4-2-2-2-20000002200000000220000000000000000000000000000000000000000000000000000
χ7244444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222111222221111000000-1-100−2i32i300−2i32i3-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ7344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222111222221111000000-1-1002i3−2i3002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ744444-4-4-4-444-24-4-4-2-2-244422-4-4-4-422-2-244-2-2-2-222-4-42222000000-2-200000000220000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.