Finite Group Databasebeta

← Group #11776922

Character table — Group #11776922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12224444334444666666121212121212121236661212121212121212121212122244444488888888881212121224242424242424242424242424242424661212121212122424242424242424888888888888242424242424242488
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
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
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−iii−i−i−i−iii−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−i−iiiii−i−ii−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−iii−i−i−i−iiii−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-222-2-222-2-20000000000-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-222-2-2220000000000-2-2-2-20000000000000000-2-222-2-222000000000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122222222220000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222222200000000-2-2-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000000000-2-21111000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111000000000000000000-2-21111000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-11111-2-2-2-2111111111111111100000000000000000022-1-1-1-1000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-222-2-222-2-200000000001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-222-2-222-2-200000000001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-222-2-22200000000001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-222-2-22200000000001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000022000000-1-1-1-100
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000000022222222-2-2-1-1-1-1-2-2-2-211111111111100000000-1-1-1-1-1-1-1-100000000-2-2000000111100
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2000000111100
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-211111111111100000000111111110000000022000000-1-1-1-100
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-222-2-2-2-2220000000000-2-222000000000000000022-2-2-2-222000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-22222-2-20000000000-2-2220000000000000000-2-22222-2-2000000000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-222-2-2-2-222000000000011-1-13−3−33000033−3−3−3−333-1-11111-1-1000000000000000000003−3−33000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-222-2-2-2-222000000000011-1-1−333−30000−3−33333−3−3-1-11111-1-100000000000000000000−333−3000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-2-2-22222-2-2000000000011-1-13−3−33000033−3−3−3−33311-1-1-1-11100000000000000000000−333−3000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-2-2-22222-2-2000000000011-1-1−333−30000−3−33333−3−311-1-1-1-111000000000000000000003−3−33000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111111222222-2-2-2-2000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii-1-1-1-111110000000000000000002i−2i−i−iii000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111111222222-2-2-2-200000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i-1-1-1-11111000000000000000000−2i2iii−i−i000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111111122-2-2-2-22222000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii1111-1-1-1-1000000000000000000−2i2iii−i−i000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111111122-2-2-2-2222200000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i1111-1-1-1-10000000000000000002i−2i−i−iii000000
χ412222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-1000000002222-2-2-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00000000-1-1-1-11111000000002i−2i000000−i−iii00
χ422222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-1000000002222-2-2-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000-1-1-1-1111100000000−2i2i000000ii−i−i00
χ432222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-100000000-2-2-2-222222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii000000001111-1-1-1-100000000−2i2i000000ii−i−i00
χ442222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-100000000-2-2-2-22222−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i000000001111-1-1-1-1000000002i−2i000000−i−iii00
χ4522-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-2000000-2-22200002i−2i002i−2i22−2−222−2−20000000000000000000000002i−2i002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000
χ4622-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-2000000-2-22200002i−2i002i−2i−2−222−2−2220000000000000000000000002i−2i002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000
χ4722-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-2000000-2-2220000−2i2i00−2i2i22−2−222−2−2000000000000000000000000−2i2i00−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000
χ4822-2-222-2-22200002-2-22-2-2-2-222-2-22222-2-2000000-2-2220000−2i2i00−2i2i−2−222−2−222000000000000000000000000−2i2i00−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000
χ4922-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-200000022-2-200002i−2i00−2i2i22−2−2−2−2220000000000000000000000002i−2i00−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000
χ5022-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-200000022-2-200002i−2i00−2i2i−2−22222−2−20000000000000000000000002i−2i00−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000
χ5122-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-200000022-2-20000−2i2i002i−2i22−2−2−2−222000000000000000000000000−2i2i002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
χ5222-2-2-2-2222200002-2-22-2-222-2-222-2-222-2-200000022-2-20000−2i2i002i−2i−2−22222−2−2000000000000000000000000−2i2i002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000
χ532-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i002-2002i−2i002−22−2−i2i2−i2i200000000000000000000002-2002i−2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000
χ542-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i002-2002i−2i00−22−22i2−i2i2−i200000000000000000000002-2002i−2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000
χ552-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i00-2200−2i2i002−22−2−i2i2−i2i20000000000000000000000-2200−2i2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000000000
χ562-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-20000002i−2i2i−2i00-2200−2i2i00−22−22i2−i2i2−i20000000000000000000000-2200−2i2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000000000
χ572-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i002-200−2i2i002−22−2i2−i2i2−i200000000000000000000002-200−2i2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000000000
χ582-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i002-200−2i2i00−22−22−i2i2−i2i200000000000000000000002-200−2i2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000000000
χ592-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i00-22002i−2i002−22−2i2−i2i2−i20000000000000000000000-22002i−2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000000000
χ602-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000−2i2i−2i2i00-22002i−2i00−22−22−i2i2−i2i20000000000000000000000-22002i−2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000000000
χ612-2-222i−2i−2i2i222i−2i2-2-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-222i−2i2-22i−2i−2i2i2i−2i2-20000000000000000002-22i−2i000000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ622-2-222i−2i−2i2i222i−2i2-2-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-222i−2i2-22i−2i−2i2i2i−2i2-20000000000000000002-22i−2i00000000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ632-2-222i−2i−2i2i22−2i2i-22-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i-22−2i2i−2i2i2i−2i-22000000002-2-22−2i2i2i−2i00-22−2i2i0000000000000000000000002-2-22−2i2i2i−2i0000000000000000000000
χ642-2-222i−2i−2i2i22−2i2i-22-2-22-2-22−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i-22−2i2i−2i2i2i−2i-2200000000-222-22i−2i−2i2i00-22−2i2i000000000000000000000000-222-22i−2i−2i2i0000000000000000000000
χ652-2-222i−2i−2i2i-12−2i2i-2211-1-2-22i−i2i−2i−2i2i−ii-111-1i−i-22−2i2ii−i−ii1-1000000002-2-22−2i2i2i−2i001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000-111-1i−i−ii0000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.