Finite Group Databasebeta

← Group #11777851

Character table — Group #11777851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222444433444466666612121212121212123666121212121212121212121212888888888888888888121212122424242424242424242424242424242424242424242424242424242424242424888888884444121212121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11-11-111-1-111-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-1-111-1-111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-11111-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-111-1-1-11111-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1-11-11-1-111-1-111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11-11-111-1-111-1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-22222-2-2-2-20000000000-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-222220000000000-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000000000
χ19222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222200000000-2-2-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-2-2-2-21111111111111111111100000000000000002200-1-1-1-1000000
χ23222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-22222-2-2-2-2000000000011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-22222-2-2-2-2000000000011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-22222000000000011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-22222000000000011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2822222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000000022222222-2-2-1-1-1-11111-2-2-2-21111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2922222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ3022222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-11111-2-2-2-21111111100000000111111110000000000220000-1-1-1-100
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ332222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i−2i−2i2i2i000000000011-1-100003−3−3333−3−3−3−333−i−iiiii−i−i00000000000000000000−i3i3i3−i3000000
χ342222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i−2i−2i2i2i000000000011-1-10000−333−3−3−33333−3−3−i−iiiii−i−i00000000000000000000i3−i3−i3i3000000
χ352222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i2i2i−2i−2i000000000011-1-100003−3−3333−3−3−3−333ii−i−i−i−iii00000000000000000000i3−i3−i3i3000000
χ362222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i2i2i−2i−2i000000000011-1-10000−333−3−3−33333−3−3ii−i−i−i−iii00000000000000000000−i3i3i3−i3000000
χ372222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i2i2i−2i−2i000000002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii−i−iii−i−iii00000000000000002-200-1-111000000
χ382222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i2i2i−2i−2i00000000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−i−iii−i−iii0000000000000000-220011-1-1000000
χ392222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i−2i−2i2i2i000000002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiiiii−i−iii−i−i0000000000000000-220011-1-1000000
χ402222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−iii−i−iii−i−i00000000000000002-200-1-111000000
χ412222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-2111111000000002i2i2i2i−2i−2i−2i−2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−i−i−i−iiiii00000000002-20000-1-11100
χ422222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-2111111000000002i2i2i2i−2i−2i−2i−2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−i−i−i−iiiii0000000000-22000011-1-100
χ432222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-211111100000000−2i−2i−2i−2i2i2i2i2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000iiii−i−i−i−i0000000000-22000011-1-100
χ442222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-211111100000000−2i−2i−2i−2i2i2i2i2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000iiii−i−i−i−i00000000002-20000-1-11100
χ4522-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-2002-22-2000022−2−222−2−200000000000000000000002-22-2000022−2−222−2−222−2−222−2−200000000000000
χ4622-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-2002-22-20000−2−222−2−22200000000000000000000002-22-20000−2−222−2−222−2−222−2−22200000000000000
χ4722-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-200-22-22000022−2−222−2−20000000000000000000000-22-22000022−2−222−2−2−2−222−2−22200000000000000
χ4822-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-200-22-220000−2−222−2−2220000000000000000000000-22-220000−2−222−2−22222−2−222−2−200000000000000
χ4922-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-222002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000
χ5022-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-222002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i200000000000000000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000
χ5122-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-22200−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000000000000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000
χ5222-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-22200−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000000000000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000
χ532-22-22i−2i2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i22−22−200000000000000
χ542-22-22i−2i2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i2−22−2200000000000000
χ552-22-22i−2i2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i2−22−2200000000000000
χ562-22-22i−2i2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i22−22−200000000000000
χ572-22-2−2i2i−2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i22−22−200000000000000
χ582-22-2−2i2i−2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i2−22−2200000000000000
χ592-22-2−2i2i−2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i2−22−2200000000000000
χ602-22-2−2i2i−2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i22−22−200000000000000
χ612-2-222i−2i−2i2i222i−2i2-2-2-2-22-222i−2i−2i2i2i−2i−2i2i2-2-222-22-22i−2i2i−2i−2i2i2i−2i0000000000000000002-22i−2i000000000000000000000000000000002i−2i−2i2i-222-200000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.