Finite Group Databasebeta

← Group #11777052

Character table — Group #11777052

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222444433444466666612121212121212123666121212121212121212121212881212121224242424242424242424242424242424888888888888888824242424242424242424242424242424444424242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i−i−iii11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i-11−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii-11−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i-11i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii-11i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000111100000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-211111111000022220000-2-2-2-200000000111111110000-1-1-1-100000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-2111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000111100000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000000011110000
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-211111111111122220000-2-2-2-20000111111110000000000000000-1-1-1-10000
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000000011110000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200-2-22200000000000000000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200-2-222000000000000000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211111122-1-12i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00002i2i−2i−2i000022-2-200000000-1-1-1-111110000−i−iii00000000
χ302222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211111122-1-12i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii0000−2i−2i2i2i0000-2-222000000001111-1-1-1-10000ii−i−i00000000
χ312222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211111122-1-1−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00002i2i−2i−2i0000-2-222000000001111-1-1-1-10000−i−iii00000000
χ322222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211111122-1-1−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000−2i−2i2i2i000022-2-200000000-1-1-1-111110000ii−i−i00000000
χ332222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-111-2-21111-1-1222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i000022-2-20000-1-1-1-111110000000000000000−i−iii0000
χ342222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-111-2-21111-1-1222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2i0000-2-22200001111-1-1-1-10000000000000000ii−i−i0000
χ352222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-111-2-21111-1-122−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i0000-2-22200001111-1-1-1-10000000000000000−i−iii0000
χ362222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-111-2-21111-1-122−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2i000022-2-20000-1-1-1-111110000000000000000ii−i−i0000
χ3722-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-20000-2-22200000000000000000000000000000000002−22−2−i2i2−i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i22i−2i2i−2i000000000000
χ3822-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-20000-2-22200000000000000000000000000000000002−22−2i2−i2i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i000000000000
χ3922-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-20000-2-2220000000000000000000000000000000000−22−22−i2i2−i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i000000000000
χ4022-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-20000-2-2220000000000000000000000000000000000−22−22i2−i2i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i22i−2i2i−2i000000000000
χ4122-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-2000022-2-200000000000000000000000000000000002−2−22−i2i2i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i22i−2i−2i2i000000000000
χ4222-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-2000022-2-200000000000000000000000000000000002−2−22i2−i2−i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i000000000000
χ4322-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-2000022-2-20000000000000000000000000000000000−222−2−i2i2i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000000000000
χ4422-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-2000022-2-20000000000000000000000000000000000−222−2i2−i2−i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000000000000
χ452-22-22i−2i2i−2i222i−2i2-2-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i2-22-2002-22i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ462-22-22i−2i2i−2i222i−2i2-2-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i2-22-2002-22i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ472-22-22i−2i2i−2i22−2i2i-22-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-2−2i2i−2i2i2i−2i2i−2i-22-2200-22−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ482-22-22i−2i2i−2i22−2i2i-22-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-2−2i2i−2i2i2i−2i2i−2i-22-2200-22−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ492-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii−ii2i−2i-11-112i−2i−ii−ii−ii2-2-1100-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−i3i3−i3i33−33−30000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ502-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii−ii2i−2i-11-112i−2i−ii−ii−ii2-2-1100-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000i3−i3i3−i3−33−330000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ512-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii−ii2i−2i-11-112i−2i−ii−ii−ii2-2-1100-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000i3−i3i3−i3−33−330000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ522-22-22i−2i2i−2i2-12i−2i2-2-22-21-112i−2i−ii−ii2i−2i-11-112i−2i−ii−ii−ii2-2-1100-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−i3i3−i3i33−33−30000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ532-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i2i−2i−ii-11-11i−i−2i2i−ii−ii1-1-22001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−i3i3−i3i33−33−30000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ542-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i2i−2i−ii-11-11i−i−2i2i−ii−ii1-1-22001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000i3−i3i3−i3−33−330000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ552-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i2i−2i−ii-11-11i−i−2i2i−ii−ii1-1-22001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000i3−i3i3−i3−33−330000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ562-22-22i−2i2i−2i-12−2i2i-221-11-22-2−ii2i−2i2i−2i−ii-11-11i−i−2i2i−ii−ii1-1-22001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−i3i3−i3i33−33−30000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ572-22-2−2i2i−2i2i222i−2i-22-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-22i−2i2i−2i−2i2i−2i2i-22-2200-222i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ582-22-2−2i2i−2i2i222i−2i-22-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-22i−2i2i−2i−2i2i−2i2i-22-2200-222i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ592-22-2−2i2i−2i2i22−2i2i2-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2002-2−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ602-22-2−2i2i−2i2i22−2i2i2-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2002-2−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.