Finite Group Databasebeta

← Group #11787030

Character table — Group #11787030

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444223344666666121212121212121236666666121212121212121288886688121224242424242424242424242424242424224444448812121212121212122424242424242424446612121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1ii−i−i-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1-111-1-111−i−iii-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-1-1−ii11−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−i-1111-1-111-1-1ii−i−i-1-111
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-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii11-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−iii-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1111-1-111-1-1−i−iii-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−iii-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-11111ii−i−i11-1-1
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-1-1−ii11−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−iii11-1-1
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-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-1-111-1-111ii−i−i-1-111
χ1722222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-10000000000-1-10000-1-100000000
χ1822222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-10000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2001111111100000000001100001100000000
χ1922222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-11111-2-2-2-2111111112222-2-2-2-200111111110000000000-1-10000-1-100000000
χ2022222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-10000-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2222200-1-1-1-1-1-1-1-100000000001100001100000000
χ212222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ222222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-12222-1-1-2-2-1-1-2-2-2-2111111111111000000002200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ232222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000000011111111-2-20011110000000000
χ242222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-1-1-2-2-1-1-2-2-2-211111111111100000000-2-200000000111111112200-1-1-1-10000000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-222222222-2-200-2-2000000000000000000000000-2-20000000022-2-222-2-2000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-2-2-2-2-200-2-20000000000000000000000002200000000-2-222-2-222000000000000000000
χ2722222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-122221100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300000000-2-200000000-1-111-1-1110000−i3i3−i3i30000000000
χ2822222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-122221100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300000000-2-200000000-1-111-1-1110000i3−i3i3−i30000000000
χ2922222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-1-2-2-2-21100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300000000220000000011-1-111-1-10000i3−i3i3−i30000000000
χ3022222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-1-2-2-2-21100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300000000220000000011-1-111-1-10000−i3i3−i3i30000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i−2i−2i2200-2-2000000000000000000000000−2i2i000000002i2i−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−2i2i2i2200-2-20000000000000000000000002i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ332222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-211112i2i−2i−2i-1-1001100003−3−3333−3−3−3−33300000000−2i2i00000000−i−iiiii−i−i0000−i3i3i3−i30000000000
χ342222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-211112i2i−2i−2i-1-100110000−333−3−3−33333−3−300000000−2i2i00000000−i−iiiii−i−i0000i3−i3−i3i30000000000
χ352222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111−2i−2i2i2i-1-1001100003−3−3333−3−3−3−333000000002i−2i00000000ii−i−i−i−iii0000i3−i3−i3i30000000000
χ362222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111−2i−2i2i2i-1-100110000−333−3−3−33333−3−3000000002i−2i00000000ii−i−i−i−iii0000−i3i3i3−i30000000000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-111110000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii22-2-22i2i−2i−2i00−i−i−i−iiiii0000000000-1-100001100000000
χ382222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-111110000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii-2-222−2i−2i2i2i00iiii−i−i−i−i0000000000110000-1-100000000
χ392222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i22-2-2−2i−2i2i2i00iiii−i−i−i−i0000000000-1-100001100000000
χ402222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i-2-2222i2i−2i−2i00−i−i−i−iiiii0000000000110000-1-100000000
χ412222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-12211112i2i−2i−2i112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii000000002i−2i00000000−i−i−i−iiiii2-200-1-1110000000000
χ422222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-12211112i2i−2i−2i11−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i000000002i−2i00000000−i−i−i−iiiii-220011-1-10000000000
χ432222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111−2i−2i2i2i112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00000000−2i2i00000000iiii−i−i−i−i-220011-1-10000000000
χ442222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111−2i−2i2i2i11−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−2i2i00000000iiii−i−i−i−i2-200-1-1110000000000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000001+i−1−i1−i−1+i001+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−2i20002-2-2000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000−1−i1+i−1+i1−i00−1−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−2i20002-2-2000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000001+i−1−i1−i−1+i001+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−2i20002-2-2000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000−1−i1+i−1+i1−i00−1−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−2i2i20002-2-200000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000001−i−1+i1+i−1−i001−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−2i2i20002-2-200000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−1+i1−i−1−i1+i00−1+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−2i2i20002-2-200000−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000001−i−1+i1+i−1−i001−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−2i2i20002-2-200000−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000−1+i1−i−1−i1+i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000002−2i2−i2
χ532-2-2222-2-22-2222-2-2-22-2-222222-2-2-2-222-22-2-22-22-22-222-2-200002-2002-200000000000000002-22-20000000000000000000000002-200002-200000000
χ542-2-2222-2-22-2222-2-2-22-2-222222-2-2-2-222-22-2-22-22-22-222-2-200002-2002-20000000000000000-22-22000000000000000000000000-220000-2200000000
χ552-2-2222-2-22-22-12-2112-2-2-122-1-111-2-2-12-2-111-112-2-11-1-1110000-1100-113−33−300003−33−33−33−32-22-20000003−33−33−33−30000000000-110000-1100000000
χ562-2-2222-2-22-22-12-2112-2-2-122-1-111-2-2-12-2-111-112-2-11-1-1110000-1100-113−33−300003−33−33−33−3-22-22000000−33−33−33−3300000000001-100001-100000000
χ572-2-2222-2-22-22-12-2112-2-2-122-1-111-2-2-12-2-111-112-2-11-1-1110000-1100-11−33−330000−33−33−33−332-22-2000000−33−33−33−330000000000-110000-1100000000
χ582-2-2222-2-22-22-12-2112-2-2-122-1-111-2-2-12-2-111-112-2-11-1-1110000-1100-11−33−330000−33−33−33−33-22-220000003−33−33−33−300000000001-100001-100000000
χ592-2-2222-2-2-2222-22-2-22-2-222222-2-2-2-22-22-2-2-222-22-2222-2-20000-2200-2200000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ602-2-2222-2-2-2222-22-2-22-2-222222-2-2-2-22-22-2-2-222-22-2222-2-20000-2200-220000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ612-2-22-2-2222-222-22-2-22-2-22-2-2-2-2222222-22-2-22-2-22-22-2-22200002-200-2200000000000000000000000000000000000000000000000000002-2-220000
χ622-2-22-2-2222-222-22-2-22-2-22-2-2-2-2222222-22-2-22-2-22-22-2-22200002-200-220000000000000000000000000000000000000000000000000000-222-20000
χ632-2-22-2-222-22222-2-2-22-2-22-2-2-2-222222-22-2-2-2222-22-2-2-2220000-22002-200000000000000002-2-220000000000000000000000002-20000-2200000000
χ642-2-22-2-222-22222-2-2-22-2-22-2-2-2-222222-22-2-2-2222-22-2-2-2220000-22002-20000000000000000-222-2000000000000000000000000-2200002-200000000
χ652-2-22-2-222-222-12-2112-2-2-1-2-211-1-122-1-22111-1-12-2-1111-1-100001-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i32-2-22000000−i3i3−i3i3i3−i3i3−i30000000000-1100001-100000000
χ662-2-22-2-222-222-12-2112-2-2-1-2-211-1-122-1-22111-1-12-2-1111-1-100001-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-222-2000000i3−i3i3−i3−i3i3−i3i300000000001-10000-1100000000
χ672-2-22-2-222-222-12-2112-2-2-1-2-211-1-122-1-22111-1-12-2-1111-1-100001-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i32-2-22000000i3−i3i3−i3−i3i3−i3i30000000000-1100001-100000000
χ682-2-22-2-222-222-12-2112-2-2-1-2-211-1-122-1-22111-1-12-2-1111-1-100001-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-222-2000000−i3i3−i3i3i3−i3i3−i300000000001-10000-1100000000
χ694444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211110000114411-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.