Finite Group Databasebeta

← Group #11777596

Character table — Group #11777596

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444334444666666121212121212121236661212121212121212121212128888441212121212121212121212121212121212121212224488888824242424242424242424242424242424668812122424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−i1111-1-1-1-111i−i-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-1-1-111i−i-1-111ii−i−iii−i−i-1-1-1-11111-1-1i−i11ii−i−i−i−iii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1i−i-1-111ii−i−iii−i−i-1-1-1-1111111−ii-1-1−i−iiiii−i−i−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−i-11-1-1-1-1111111-1-1-1-1-1-11111-1-111i−i11-1-1ii−i−iii−i−i1111-1-1-1-1-1-1−ii11−i−iii−i−iiiii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii1-11111-1-1-1-111-1-11111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii1111-1-1-1-111−ii-1-1−i−iii−i−iii−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii1-11111-1-1-1-111-1-11111-1-1-1-1-1-111−ii-1-111−i−iii−i−iii-1-1-1-11111-1-1−ii11−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1−ii-1-111−i−iii−i−iii-1-1-1-1111111i−i-1-1ii−i−i−i−iiiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii-11-1-1-1-1111111-1-1-1-1-1-11111-1-111−ii11-1-1−i−iii−i−iii1111-1-1-1-1-1-1i−i11ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-222220000000000-2-2-2-2000000000000-2-20000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000-2-2-2-20000000000002200002222-2-2-2-200000000000000000000000000
χ19222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-1-1-100-1-1000000000000
χ20222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111110011000000000000
χ21222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-211-2-211-1-1-1-111111111222200-2-2-2-20000000011111111-1-100-1-1000000000000
χ22222222222-12222222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-211-2-211-1-1-1-111111111-2-2-2-200222200000000-1-1-1-1-1-1-1-1110011000000000000
χ2322222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-100000000002200-1-1-1-100000000
χ2422222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-2-211-2-211-2-2-1-1-1-1111111110000220000-1-1-1-1-1-1-1-10000000000-2-200111100000000
χ2522222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000111111110000000000-2-200111100000000
χ2622222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000-2-200001111111100000000002200-1-1-1-100000000
χ2722222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i30000-2-200001111-1-1-1-100000000000000−i3i3−i3i300000000
χ2822222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2222200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i30000-2-200001111-1-1-1-100000000000000i3−i3i3−i300000000
χ2922222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i30000220000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ3022222222-12-2-2-2-2-1-1-12222222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-2-2-2-2-200i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i30000220000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-22i2i−2i−2i0000000000-2-222000000000000−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2−2i−2i2i2i0000000000-2-2220000000000002i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-1-1-2-211-1-111-1-1-1-1111122-2-20022-2-200000000-1-1-1-11111-1-10011000000000000
χ342222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-100002-222-1-1-2-211-1-111-1-1-1-11111-2-22200-2-222000000001111-1-1-1-11100-1-1000000000000
χ352222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-21122-1-1-1-1111111-1-1-1-122-2-200-2-222000000001111-1-1-1-1-1-10011000000000000
χ362222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2111111-1-10000-22-2-21122-1-1-1-1111111-1-1-1-1-2-2220022-2-200000000-1-1-1-111111100-1-1000000000000
χ372222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100002i−2i0000−i−iii−i−iii00000000002i−2i00−i−iii00000000
χ382222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-21111222i2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100002i−2i0000−i−iii−i−iii0000000000−2i2i00ii−i−i00000000
χ392222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i2-2-1-12211-2-2-1-111-1-1-1-111110000−2i2i0000ii−i−iii−i−i0000000000−2i2i00ii−i−i00000000
χ402222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-1-111-2-2111122−2i−2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-10000−2i2i0000ii−i−iii−i−i00000000002i−2i00−i−iii00000000
χ412222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i30000−2i2i0000ii−i−i−i−iii000000000000003−3−3300000000
χ422222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-22i2i−2i−2i00i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i30000−2i2i0000ii−i−i−i−iii00000000000000−333−300000000
χ432222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i300002i−2i0000−i−iiiii−i−i00000000000000−333−300000000
χ442222-2-2-2-2-12-2-222-1-1-1222-2-2-2-21111-1-1-1-111-1-1221111-2-2−2i−2i2i2i00i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i300002i−2i0000−i−iiiii−i−i000000000000003−3−3300000000
χ4522-2-22i−2i2i−2i220000-22-22-2-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002−2−i2i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322−2−2−i2−i2i2i2000000000000001+i−1−i1−i−1+i
χ4622-2-22i−2i2i−2i220000-22-22-2-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−22i2−i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2−222i2i2−i2−i200000000000000−1−i1+i−1+i1−i
χ4722-2-22i−2i2i−2i220000-22-22-2-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000002−2−i2i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322−2−2−i2−i2i2i200000000000000−1−i1+i−1+i1−i
χ4822-2-22i−2i2i−2i220000-22-22-2-22i2i−2i−2i2i−2i2i−2i2-22-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−22i2−i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2−222i2i2−i2−i2000000000000001+i−1−i1−i−1+i
χ4922-2-2−2i2i−2i2i220000-22-22-2-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000002−2i2−i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322−2−2i2i2−i2−i2000000000000001−i−1+i1+i−1−i
χ5022-2-2−2i2i−2i2i220000-22-22-2-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−22−i2i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2−222−i2−i2i2i200000000000000−1+i1−i−1−i1+i
χ5122-2-2−2i2i−2i2i220000-22-22-2-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002−2i2−i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322−2−2i2i2−i2−i200000000000000−1+i1−i−1−i1+i
χ5222-2-2−2i2i−2i2i220000-22-22-2-2−2i−2i2i2i−2i2i−2i2i2-22-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−22−i2i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2−222−i2−i2i2i2000000000000001−i−1+i1+i−1−i
χ532-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i−2i2i2-2-222-22i−2i2i−2i2i−2i2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ542-22-22i−2i−2i2i222-22i−2i-2-22-22-22i−2i2i−2i2i−2i−2i2i2-2-222-22i−2i2i−2i2i−2i2i−2i2-2000000000000002-22i−2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ552-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i−2i2i2-2-22-22−2i2i−2i2i2i−2i2i−2i-2200000000000000-22−2i2i000000002-22i−2i00000000000000000000002-2002i−2i000000000000
χ562-22-22i−2i−2i2i22-22−2i2i-2-22-22-22i−2i2i−2i2i−2i−2i2i2-2-22-22−2i2i−2i2i2i−2i2i−2i-2200000000000000-22−2i2i00000000-22−2i2i0000000000000000000000-2200−2i2i000000000000
χ572-22-22i−2i−2i2i2-1-22−2i2i-2-221-11−ii−ii2i−2i−2i2i-111-1-22−2i2ii−i−ii−ii1-1000000003−300−i3i31-1i−i3−33−3−i3i3−i3i32-22i−2i000000000000003−33−3−i3i3−i3i3-1100−ii000000000000
χ582-22-22i−2i−2i2i2-1-22−2i2i-2-221-11−ii−ii2i−2i−2i2i-111-1-22−2i2ii−i−ii−ii1-1000000003−300−i3i31-1i−i3−33−3−i3i3−i3i3-22−2i2i00000000000000−33−33i3−i3i3−i31-100i−i000000000000
χ592-22-22i−2i−2i2i2-1-22−2i2i-2-221-11−ii−ii2i−2i−2i2i-111-1-22−2i2ii−i−ii−ii1-100000000−3300i3−i31-1i−i−33−33i3−i3i3−i32-22i−2i00000000000000−33−33i3−i3i3−i3-1100−ii000000000000
χ602-22-22i−2i−2i2i2-1-22−2i2i-2-221-11−ii−ii2i−2i−2i2i-111-1-22−2i2ii−i−ii−ii1-100000000−3300i3−i31-1i−i−33−33i3−i3i3−i3-22−2i2i000000000000003−33−3−i3i3−i3i31-100i−i000000000000
χ612-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i2-2-222-2−2i2i−2i2i−2i2i−2i2i2-2000000000000002-2−2i2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ622-22-2−2i2i2i−2i222-2−2i2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i2-2-222-2−2i2i−2i2i−2i2i−2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ632-22-2−2i2i2i−2i22-222i−2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i2-2-22-222i−2i2i−2i−2i2i−2i2i-2200000000000000-222i−2i000000002-2−2i2i00000000000000000000002-200−2i2i000000000000
χ642-22-2−2i2i2i−2i22-222i−2i-2-22-22-2−2i2i−2i2i−2i2i2i−2i2-2-22-222i−2i2i−2i−2i2i−2i2i-2200000000000000-222i−2i00000000-222i−2i0000000000000000000000-22002i−2i000000000000
χ652-22-2−2i2i2i−2i2-1-222i−2i-2-221-11i−ii−i−2i2i2i−2i-111-1-222i−2i−iii−ii−i1-1000000003−300i3−i31-1−ii3−33−3i3−i3i3−i32-2−2i2i000000000000003−33−3i3−i3i3−i3-1100i−i000000000000
χ662-22-2−2i2i2i−2i2-1-222i−2i-2-221-11i−ii−i−2i2i2i−2i-111-1-222i−2i−iii−ii−i1-1000000003−300i3−i31-1−ii3−33−3i3−i3i3−i3-222i−2i00000000000000−33−33−i3i3−i3i31-100−ii000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.