Finite Group Databasebeta

← Group #11787049

Character table — Group #11787049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222444422334466666612121212121212123666666612121212121212128888446612121212121212121212121212121212121244448888881212121212121212242424242424242488242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i1-1-1-11111-1-1-1-1111111-1-1-1-1ii−i−ii−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−iii−i−i11-1-111-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i1-1-1-11111-1-1-1-1111111-1-1-1-1−i−iiii−i−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−i−i−iiiii−i−i-1-111-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i-11-1-1-1-1-1-1111111-1-1-1-11111ii−i−ii−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii−i−iii-1-11111-1-1
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i-11-1-1-1-1-1-1111111-1-1-1-11111−i−iiii−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iiii−i−i−i−iii11-1-1-1-111
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−iii1-1-1-11111-1-1-1-1111111-1-1-1-1ii−i−i−iiii−i−iiiii−i−i−i−i−i−i−i−iiiii−iiii−i−i−i−iii-1-111-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−iii1-1-1-11111-1-1-1-1111111-1-1-1-1−i−iii−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii−i−iii11-1-111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−iii-11-1-1-1-1-1-1111111-1-1-1-11111ii−i−i−ii−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−i−iiiii−i−i11-1-1-1-111
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−iii-11-1-1-1-1-1-1111111-1-1-1-11111−i−iii−iiii−i−i−i−i−i−iiiii−i−i−i−iiiiii−iii−i−iii−i−i-1-11111-1-1
χ1722222222222-122222-1-1-122-1-122-1-1-12-1-1-1-1-1222-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022000000000000-1-1-1-1-1-1-1-1220000-1-1-1-100000000
χ1822222222222-122222-1-1-122-1-122-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-2-2-1-1-2-211-2-211-1-111111111000022000000000000-1-1-1-1-1-1-1-1-2-20000111100000000
χ1922222222222-122222-1-1-122-1-122-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200000000000011111111-2-20000111100000000
χ2022222222222-122222-1-1-122-1-122-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-2-211-2-211-1-1111111110000-2-200000000000011111111220000-1-1-1-100000000
χ212222222222-1222-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-10000000000-1-1-1-1000000000000
χ222222222222-1222-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-21111111100000000001111000000000000
χ232222222222-1222-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-1-111-2-211-2-2-1-111111111222200-2-2-2-2-1-1-1-1-1-1-1-100000000001111000000000000
χ242222222222-1222-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-1-111-2-211-2-2-1-111111111-2-2-2-2002222111111110000000000-1-1-1-1000000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222222200-2-200000000-2-2000000000000-2-200000000000022-2-222-2-2000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-2-2-200-2-200000000-2-200000000000022000000000000-2-222-2-222000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-122-1-1-1-211-1-1-1-2-2-211-1-1-1-12222001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i30000-2-2000000000000-1-111-1-111000000−i3i3−i3i300000000
χ2822222222-2-22-1-2-2222-1-1-122-1-122-1-1-1-211-1-1-1-2-2-211-1-1-1-12222001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i30000-2-2000000000000-1-111-1-111000000i3−i3i3−i300000000
χ2922222222-2-22-1-2-2222-1-1-122-1-122-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-2001100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i300002200000000000011-1-111-1-1000000i3−i3i3−i300000000
χ3022222222-2-22-1-2-2222-1-1-122-1-122-1-1-1-211-1-1-1-2-2-211-1-1-1-1-2-2-2-2001100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i300002200000000000011-1-111-1-1000000−i3i3−i3i300000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i−2i−2i002200000000-2-2000000000000−2i2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2−2i−2i2i2i002200000000-2-20000000000002i−2i000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-1-2-211-2-211-12-1-1-1-1-12-2-21111112i2i−2i−2i00-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i30000−2i2i000000000000−i−iiiii−i−i0000003−3−3300000000
χ342222-2-2-2-2222-1-2-2222-1-1-1-2-211-2-211-12-1-1-1-1-12-2-21111112i2i−2i−2i00-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i30000−2i2i000000000000−i−iiiii−i−i000000−333−300000000
χ352222-2-2-2-2222-1-2-2222-1-1-1-2-211-2-211-12-1-1-1-1-12-2-2111111−2i−2i2i2i00-1-100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i300002i−2i000000000000ii−i−i−i−iii000000−333−300000000
χ362222-2-2-2-2222-1-2-2222-1-1-1-2-211-2-211-12-1-1-1-1-12-2-2111111−2i−2i2i2i00-1-100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i300002i−2i000000000000ii−i−i−i−iii0000003−3−3300000000
χ372222-2-2-2-2-2-22-122222-1-1-1-2-211-2-211-1-211-1-1-1-222-1-111112i2i−2i−2i2-21122-1-1-2-211-1-1-1-1-1-1111100002i−2i000000000000−i−i−i−iiiii2i−2i0000−i−iii00000000
χ382222-2-2-2-2-2-22-122222-1-1-1-2-211-2-211-1-211-1-1-1-222-1-111112i2i−2i−2i-2211-2-21122-1-1-1-11111-1-1-1-100002i−2i000000000000−i−i−i−iiiii−2i2i0000ii−i−i00000000
χ392222-2-2-2-2-2-22-122222-1-1-1-2-211-2-211-1-211-1-1-1-222-1-11111−2i−2i2i2i2-21122-1-1-2-211-1-1-1-1-1-111110000−2i2i000000000000iiii−i−i−i−i−2i2i0000ii−i−i00000000
χ402222-2-2-2-2-2-22-122222-1-1-1-2-211-2-211-1-211-1-1-1-222-1-11111−2i−2i2i2i-2211-2-21122-1-1-1-11111-1-1-1-10000−2i2i000000000000iiii−i−i−i−i2i−2i0000−i−iii00000000
χ412222-2-2-2-2-2-2-1222-1-1-122211-2-211-2-2-11-2-2-1-1-11-1-122111100002-211-1-12211-2-2-1-1-1-1-1-111112i2i−2i−2i002i2i−2i−2i−i−i−i−iiiii0000000000−i−iii000000000000
χ422222-2-2-2-2-2-2-1222-1-1-122211-2-211-2-2-11-2-2-1-1-11-1-122111100002-211-1-12211-2-2-1-1-1-1-1-11111−2i−2i2i2i00−2i−2i2i2iiiii−i−i−i−i0000000000ii−i−i000000000000
χ432222-2-2-2-2-2-2-1222-1-1-122211-2-211-2-2-11-2-2-1-1-11-1-12211110000-221111-2-2-1-122-1-11111-1-1-1-12i2i−2i−2i00−2i−2i2i2i−i−i−i−iiiii0000000000ii−i−i000000000000
χ442222-2-2-2-2-2-2-1222-1-1-122211-2-211-2-2-11-2-2-1-1-11-1-12211110000-221111-2-2-1-122-1-11111-1-1-1-1−2i−2i2i2i002i2i−2i−2iiiii−i−i−i−i0000000000−i−iii000000000000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000002−2−i2i2
χ4622-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000−22i2−i2
χ4722-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000−22i2−i2
χ4822-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000002−2−i2i2
χ4922-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000002−2i2−i2
χ5022-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000−22−i2i2
χ5122-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000−22−i2i2
χ5222-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000002−2i2−i2
χ532-2-2222-2-22-2222-2-22-2-22-22222-2-2-2-2222-2-22-2-22-22-22-22-20000002-2000000002-2000000000000000000000000000000000000000000002-22-20000
χ542-2-2222-2-22-2222-2-22-2-22-22222-2-2-2-2222-2-22-2-22-22-22-22-20000002-2000000002-200000000000000000000000000000000000000000000-22-220000
χ552-2-2222-2-2-2222-22-22-2-22-22222-2-2-2-22-2-22-22-22-22-222-22-2000000-2200000000-22000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i000000000000
χ562-2-2222-2-2-2222-22-22-2-22-22222-2-2-2-22-2-22-22-22-22-222-22-2000000-2200000000-2200000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000
χ572-2-2222-2-2-22-12-221-11-22-2-1-12211-2-2-11-221-11-11-1-22-11-110000001-13−3003−3001-13−33−33−33−30000002i−2i2i−2i−i3i3−i3i3−i3i3−i3i30000000000−ii−ii000000000000
χ582-2-2222-2-2-22-12-221-11-22-2-1-12211-2-2-11-221-11-11-1-22-11-110000001-13−3003−3001-13−33−33−33−3000000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i30000000000i−ii−i000000000000
χ592-2-2222-2-2-22-12-221-11-22-2-1-12211-2-2-11-221-11-11-1-22-11-110000001-1−3300−33001-1−33−33−33−330000002i−2i2i−2ii3−i3i3−i3i3−i3i3−i30000000000−ii−ii000000000000
χ602-2-2222-2-2-22-12-221-11-22-2-1-12211-2-2-11-221-11-11-1-22-11-110000001-1−3300−33001-1−33−33−33−33000000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i30000000000i−ii−i000000000000
χ612-2-22-2-2222-222-22-22-2-22-2-2-2-2-22222222-2-22-2-2-22-22-22-220000002-200000000-22000000000000002-2-220000000000000000002-2-22000000000000
χ622-2-22-2-2222-222-22-22-2-22-2-2-2-2-22222222-2-22-2-2-22-22-22-220000002-200000000-2200000000000000-222-2000000000000000000-222-2000000000000
χ632-2-22-2-2222-2-12-221-11-22-211-2-2-1-122-1-12-21-1111-1-221-11-1000000-113−300−33001-13−33−3−33−330000002-2-22−33−333−33−30000000000-111-1000000000000
χ642-2-22-2-2222-2-12-221-11-22-211-2-2-1-122-1-12-21-1111-1-221-11-1000000-113−300−33001-13−33−3−33−33000000-222-23−33−3−33−3300000000001-1-11000000000000
χ652-2-22-2-2222-2-12-221-11-22-211-2-2-1-122-1-12-21-1111-1-221-11-1000000-11−33003−3001-1−33−333−33−30000002-2-223−33−3−33−330000000000-111-1000000000000
χ662-2-22-2-2222-2-12-221-11-22-211-2-2-1-122-1-12-21-1111-1-221-11-1000000-11−33003−3001-1−33−333−33−3000000-222-2−33−333−33−300000000001-1-11000000000000
χ672-2-22-2-222-22222-2-22-2-22-2-2-2-2-222222-2-22-22-222-22-2-22-22000000-22000000002-2000000000000000000000000000000000000000000002-2-220000
χ682-2-22-2-222-22222-2-22-2-22-2-2-2-2-222222-2-22-22-222-22-2-22-22000000-22000000002-200000000000000000000000000000000000000000000-222-20000
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
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.