Finite Group Databasebeta

← Group #11777501

Character table — Group #11777501

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12224444334444666666121212121212121236668888121212121212121212121212121212122424242424242424242424242424242488888888242424242424242424242424242424248888246688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ711111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ811111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-111i−i-1-1ii−i−i11-1-1i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-111−ii-1-1−i−iii-1-111−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11-1-1i−i11ii−i−i-1-111−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11-1-1−ii11−i−iii11-1-1i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11-1-1−ii11−i−iii-1-111i−i
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11-1-1i−i11ii−i−i11-1-1−ii
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-111−ii-1-1−i−iii11-1-1−ii
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-111i−i-1-1ii−i−i-1-111i−i
χ172222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022220000000000000000-2-2
χ182222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000000000000022
χ19222222222-12222222-1-1-1-1-122-1-122-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000022-1-100-1-10000000000
χ20222222222-12222222-1-1-1-1-122-1-122-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-21100110000000000
χ21222222222-12222222-1-1-1-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-2-211-2-2111111111122220000-1-1-1-1-1-1-1-1000000000000-2-21100110000000000
χ22222222222-12222222-1-1-1-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-2-211-2-21111111111-2-2-2-200001111111100000000000022-1-100-1-10000000000
χ2322222222-122222-1-1-122222-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ2422222222-122222-1-1-122222-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000-2-2001111000000
χ2522222222-122222-1-1-122222-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-2111111110000222200000000-1-1-1-1-1-1-1-100000000-2-2001111000000
χ2622222222-122222-1-1-122222-1-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-2111111110000-2-2-2-20000000011111111000000002200-1-1-1-1000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000-2-222-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i
χ292222-2-2-2-22-122-2-2222-1-1-111-2-211-2-2-1-1-1-12i2i−2i−2i-1-1-2-211112211-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-2-1-100110000000000
χ302222-2-2-2-22-122-2-2222-1-1-111-2-211-2-2-1-1-1-12i2i−2i−2i-1-1-2-211112211-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-221100-1-10000000000
χ312222-2-2-2-22-122-2-2222-1-1-111-2-211-2-2-1-1-1-1−2i−2i2i2i-1-1-2-211112211-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-221100-1-10000000000
χ322222-2-2-2-22-122-2-2222-1-1-111-2-211-2-2-1-1-1-1−2i−2i2i2i-1-1-2-211112211-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-2-1-100110000000000
χ332222-2-2-2-2-1222-2-2-1-1-1222-2-211-2-211-1-1-1-12i2i−2i−2i22111111-1-1-2-2-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii000022-2-200000000-1-1-1-11111000000002i−2i00−i−iii000000
χ342222-2-2-2-2-1222-2-2-1-1-1222-2-211-2-211-1-1-1-12i2i−2i−2i22111111-1-1-2-2-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii0000-2-222000000001111-1-1-1-100000000−2i2i00ii−i−i000000
χ352222-2-2-2-2-1222-2-2-1-1-1222-2-211-2-211-1-1-1-1−2i−2i2i2i22111111-1-1-2-2-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i000022-2-200000000-1-1-1-1111100000000−2i2i00ii−i−i000000
χ362222-2-2-2-2-1222-2-2-1-1-1222-2-211-2-211-1-1-1-1−2i−2i2i2i22111111-1-1-2-2-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i0000-2-222000000001111-1-1-1-1000000002i−2i00−i−iii000000
χ3722-2-222-2-22200002-2-2-2-22-2-22222-2-222-2-200000000-2-2220000000000000000000000002−22−2−i2i2−i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i22i−2i2i−2i000000000000000000
χ3822-2-222-2-22200002-2-2-2-22-2-22222-2-222-2-200000000-2-2220000000000000000000000002−22−2i2−i2i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i000000000000000000
χ3922-2-222-2-22200002-2-2-2-22-2-22222-2-222-2-200000000-2-222000000000000000000000000−22−22−i2i2−i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i000000000000000000
χ4022-2-222-2-22200002-2-2-2-22-2-22222-2-222-2-200000000-2-222000000000000000000000000−22−22i2−i2i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i22i−2i2i−2i000000000000000000
χ4122-2-2-2-2222200002-2-2-2-2222-2-2-2-22222-2-20000000022-2-2000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2-22000000000000000000
χ4222-2-2-2-2222200002-2-2-2-2222-2-2-2-22222-2-20000000022-2-2000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-222-2000000000000000000
χ4322-2-2-2-2222200002-2-2-2-2222-2-2-2-22222-2-20000000022-2-2000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-222-2000000000000000000
χ4422-2-2-2-2222200002-2-2-2-2222-2-2-2-22222-2-20000000022-2-2000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2-22000000000000000000
χ452-22-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-200002-22i−2i2i−2i2i−2i2-22i−2i2-22i−2i000000000000000000000000000000000000000000000000000000002-22i−2i00
χ462-22-22i−2i2i−2i222-22i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-200002-22i−2i2i−2i2i−2i2-22i−2i2-22i−2i00000000000000000000000000000000000000000000000000000000-22−2i2i00
χ472-22-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22−2i2i2i−2i2i−2i-22−2i2i-22−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000000000000000
χ482-22-22i−2i2i−2i22-22−2i2i-22-22-2-22i−2i2i−2i2i−2i2i−2i2-22-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22−2i2i2i−2i2i−2i-22−2i2i-22−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000000000000000
χ492-22-22i−2i2i−2i2-1-22−2i2i-22-2-111−ii2i−2i−ii2i−2i-11-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131-1−2i2i−ii−ii-22i−i1-1i−i2ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000−i3i3003−30000000000
χ502-22-22i−2i2i−2i2-1-22−2i2i-22-2-111−ii2i−2i−ii2i−2i-11-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131-1−2i2i−ii−ii-22i−i1-1i−i2ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000i3−i300−330000000000
χ512-22-22i−2i2i−2i2-1-22−2i2i-22-2-111−ii2i−2i−ii2i−2i-11-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131-1−2i2i−ii−ii-22i−i1-1i−i−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000i3−i300−330000000000
χ522-22-22i−2i2i−2i2-1-22−2i2i-22-2-111−ii2i−2i−ii2i−2i-11-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131-1−2i2i−ii−ii-22i−i1-1i−i−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000−i3i3003−30000000000
χ532-22-22i−2i2i−2i-12-22−2i2i1-112-2-22i−2i−ii2i−2i−ii-11-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22i−i−ii−ii1-1−2i2i1-1i−i−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000000000003−33−3−i3i3−i3i3000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ542-22-22i−2i2i−2i-12-22−2i2i1-112-2-22i−2i−ii2i−2i−ii-11-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22i−i−ii−ii1-1−2i2i1-1i−i−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000−33−33i3−i3i3−i3000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ552-22-22i−2i2i−2i-12-22−2i2i1-112-2-22i−2i−ii2i−2i−ii-11-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22i−i−ii−ii1-1−2i2i1-1i−iζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000000000003−33−3−i3i3−i3i3000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ562-22-22i−2i2i−2i-12-22−2i2i1-112-2-22i−2i−ii2i−2i−ii-11-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22i−i−ii−ii1-1−2i2i1-1i−iζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000000−33−33i3−i3i3−i3000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ572-22-2−2i2i−2i2i222-2−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i2-22-200002-2−2i2i−2i2i−2i2i2-2−2i2i2-2−2i2i000000000000000000000000000000000000000000000000000000002-2−2i2i00
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.