Finite Group Databasebeta

← Group #11777767

Character table — Group #11777767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12224444334444666666121212121212121236661212121212121212121212128888888888888888881212121224242424242424242424242424242424242424242424242424242424242424248888888824668812122424242424
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
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
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−iii−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−iii−i−i1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−iii−i−i-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-111−ii-1-1−i−iii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111ii−i−iii−i−i-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-11-1-1i−i11ii−i−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii−i−iii1111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111−i−iii−i−iii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1
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−i−iii-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-11-1-1−ii11−i−iii1-1
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−i−iii-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-111i−i-1-1ii−i−i-11
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
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222220000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-100-1-1000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222200000000-2-2-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000-2-2110011000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111110000000000000000-2-2110011000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-11111-2-2-2-21111111111111111000000000000000022-1-100-1-1000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-22222-2-2-2-200000000001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000−i3i300−i3i3000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-22222-2-2-2-200000000001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000i3−i300i3−i3000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2-2-2-2-2222200000000001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i31111-1-1-1-1000000000000000000i3−i300i3−i3000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-111-2-211-1-1-1-1-2-2-2-2-2-2222200000000001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i31111-1-1-1-1000000000000000000−i3i300−i3i3000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-100
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-10000000022222222-2-2-1-1-1-1-2-2-2-211111111111100000000-1-1-1-1-1-1-1-1000000000000-2-200111100
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000000-2-200111100
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-211111111111100000000111111110000000000002200-1-1-1-100
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i0000000000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i0000000000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111111222i2i−2i−2i2i2i−2i−2i000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii−i−iii00000000000000002-2-1-10011000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-2111111222i2i−2i−2i2i2i−2i−2i00000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii−i−iii0000000000000000-221100-1-1000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211111122−2i−2i2i2i−2i−2i2i2i000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−iii−i−i0000000000000000-221100-1-1000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-1-1-2-211111122−2i−2i2i2i−2i−2i2i2i00000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−iii−i−i00000000000000002-2-1-10011000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-22i2i−2i−2i−2i−2i2i2i000000000011-1-13−3−33000033−3−3−3−333−i−iiiii−i−i000000000000000000−i3i300i3−i3000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-22i2i−2i−2i−2i−2i2i2i000000000011-1-1−333−30000−3−33333−3−3−i−iiiii−i−i000000000000000000i3−i300−i3i3000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-2−2i−2i2i2i2i2i−2i−2i000000000011-1-13−3−33000033−3−3−3−333ii−i−i−i−iii000000000000000000i3−i300−i3i3000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-11122-1-11111-2-2−2i−2i2i2i2i2i−2i−2i000000000011-1-1−333−30000−3−33333−3−3ii−i−i−i−iii000000000000000000−i3i300i3−i3000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-1000000002222-2-2-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00000000-1-1-1-111110000000000002i−2i00−i−iii00
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-1000000002222-2-2-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000-1-1-1-11111000000000000−2i2i00ii−i−i00
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-100000000-2-2-2-222222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii000000001111-1-1-1-1000000000000−2i2i00ii−i−i00
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12211-2-21111-1-100000000-2-2-2-22222−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i000000001111-1-1-1-10000000000002i−2i00−i−iii00
χ4522-2-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022−2−2−i2−i2i2i200000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000022−2−2−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000
χ4622-2-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2−222i2i2−i2−i200000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2−222i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000
χ4722-2-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022−2−2−i2−i2i2i20000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000022−2−2−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000
χ4822-2-22i−2i2i−2i2200002-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2−222i2i2−i2−i20000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2−222i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000
χ4922-2-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022−2−2i2i2−i2−i20000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000022−2−2i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000
χ5022-2-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2−222−i2−i2i2i20000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2−222−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000
χ5122-2-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022−2−2i2i2−i2−i200000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000022−2−2i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000
χ5222-2-2−2i2i−2i2i2200002-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2−222−i2−i2i2i200000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2−222−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000
χ532-22-22i−2i−2i2i222-22i−2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22i−2i2i−2i2i−2i−2i2i2-20000000000000000002-22i−2i00000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000
χ542-22-22i−2i−2i2i222-22i−2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22i−2i2i−2i2i−2i−2i2i2-20000000000000000002-22i−2i000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000
χ552-22-22i−2i−2i2i22-22−2i2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22−2i2i−2i2i2i−2i−2i2i-22000000002-22-22i−2i2i−2i00-22−2i2i0000000000000000000000002-22-22i−2i2i−2i0000000000000000000000
χ562-22-22i−2i−2i2i22-22−2i2i-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-2-22−2i2i−2i2i2i−2i−2i2i-2200000000-22-22−2i2i−2i2i00-22−2i2i000000000000000000000000-22-22−2i2i−2i2i0000000000000000000000
χ572-22-22i−2i−2i2i-12-22−2i2i1-11-22-2−ii2i−2i−2i2ii−i-11-11-22i−i−2i2i−iii−i1-1000000002-22-22i−2i2i−2i001-1i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000-11-11−ii−ii0000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ582-22-22i−2i−2i2i-12-22−2i2i1-11-22-2−ii2i−2i−2i2ii−i-11-11-22i−i−2i2i−iii−i1-1000000002-22-22i−2i2i−2i001-1i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000-11-11−ii−ii0000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.