Finite Group Databasebeta

← Group #11776874

Character table — Group #11776874

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222444433444466666612121212121212123666121212121212121212121212888888888888888888121212122424242424242424242424242424242424242424242424242424242424242424224444448888242424242424242488
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
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−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
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111i−i11-1-1iiii−i−i−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
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000
χ19222222222-12222222-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000002222222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ20222222222-12222222-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000000022222222-2-2-1-1-1-1-2-211-2-2111111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ21222222222-12222222-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000-2-2-2-2-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ22222222222-12222222-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-211-2-2111111111100000000111111110000000000220000-1-1-1-100
χ2322222222-122222-1-1-1222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222220000000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ2422222222-122222-1-1-1222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222200000000-2-2-1-1-1-111-2-211-2-211111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ2522222222-122222-1-1-1222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ2622222222-122222-1-1-1222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-111-2-211-2-2111111111111111100000000000000002200-1-1-1-1000000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000-2-2220000000000000000000000000000000022-2-2-2-22200000000000000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000-2-22200000000000000000000000000000000-2-22222-2-200000000000000
χ292222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-211111122-1-1000000002222-2-2-2-22i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ302222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-211111122-1-1000000002222-2-2-2-2−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ312222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-211111122-1-100000000-2-2-2-222222i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ322222-2-2-2-22-1-2-222222-1-1-1-2-211-2-211-1-1-1-1-2-211111122-1-100000000-2-2-2-22222−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ332222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-111-2-21111-1-1222222-2-2-2-2000000002i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i00−i−iii000000
χ342222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-111-2-21111-1-1222222-2-2-2-200000000−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i-1-1-1-111110000000000000000−2i2i00ii−i−i000000
χ352222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-111-2-21111-1-122-2-2-2-22222000000002i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i00ii−i−i000000
χ362222-2-2-2-2-12-2-222-1-1-122211-2-211-2-2-1-1-1-111-2-21111-1-122-2-2-2-2222200000000−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i1111-1-1-1-100000000000000002i−2i00−i−iii000000
χ3722-2-222-2-22200002-2-22-2-2-2-2-2-2222222-2-2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2002-20000000000000000
χ3822-2-222-2-22200002-2-22-2-2-2-2-2-2222222-2-2000022-2-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2200-220000000000000000
χ3922-2-222-2-22200002-2-22-2-2-2-2-2-2222222-2-2000022-2-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2200-220000000000000000
χ4022-2-222-2-22200002-2-22-2-2-2-2-2-2222222-2-2000022-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2002-20000000000000000
χ4122-2-2-2-2222200002-2-22-2-22222-2-2-2-222-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-200-220000000000000000
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χ4322-2-2-2-2222200002-2-22-2-22222-2-2-2-222-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-22002-20000000000000000
χ4422-2-2-2-2222200002-2-22-2-22222-2-2-2-222-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-200-220000000000000000
χ452-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00002−22−2−i2i2−i2i2−i2i2−i2i22−22−200000000000000000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2002i−2i002-200000000000000
χ462-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00002−22−2−i2i2−i2i2i2−i2i2−i2−22−2200000000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2−22−2200−2i2i00-2200000000000000
χ472-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000−22−22i2−i2i2−i2−i2i2−i2i22−22−20000000000000000000000−22−22i2−i2i2−i2−i2i2−i2i22−22−200−2i2i00-2200000000000000
χ482-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000−22−22i2−i2i2−i2i2−i2i2−i2−22−220000000000000000000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22002i−2i002-200000000000000
χ492-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00002−22−2i2−i2i2−i2−i2i2−i2i2−22−2200000000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2−22−22002i−2i00-2200000000000000
χ502-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00002−22−2i2−i2i2−i2i2−i2i2−i22−22−200000000000000000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−200−2i2i002-200000000000000
χ512-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000−22−22−i2i2−i2i2−i2i2−i2i2−22−220000000000000000000000−22−22−i2i2−i2i2−i2i2−i2i2−22−2200−2i2i002-200000000000000
χ522-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000−22−22−i2i2−i2i2i2−i2i2−i22−22−20000000000000000000000−22−22−i2i2−i2i2i2−i2i2−i22−22−2002i−2i00-2200000000000000
χ532-2-222i−2i−2i2i222i−2i2-2-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-222i−2i2i−2i2i−2i−2i2i2-22-2000000002-2-222i−2i−2i2i002-22i−2i0000000000000000000000002-2-222i−2i−2i2i0000000000000000000000
χ542-2-222i−2i−2i2i222i−2i2-2-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-222i−2i2i−2i2i−2i−2i2i2-22-200000000-222-2−2i2i2i−2i002-22i−2i000000000000000000000000-222-2−2i2i2i−2i0000000000000000000000
χ552-2-222i−2i−2i2i22−2i2i-22-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-22−2i2i−2i2i2i−2i−2i2i-22-222i−2i−2i2i2-2-220000000000-22−2i2i00000000000000002i−2i−2i2i2-2-22000000000000000000000000000000
χ562-2-222i−2i−2i2i22−2i2i-22-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-22−2i2i−2i2i2i−2i−2i2i-22-22−2i2i2i−2i-222-20000000000-22−2i2i0000000000000000−2i2i2i−2i-222-2000000000000000000000000000000
χ572-2-222i−2i−2i2i2-12i−2i2-2-2-2211-1−2i2ii−i2i−2i−ii-111-12i−2i−ii−iii−i2-2-11000000002-2-222i−2i−2i2i00-11−ii00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000-111-1−iii−i0000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ582-2-222i−2i−2i2i2-12i−2i2-2-2-2211-1−2i2ii−i2i−2i−ii-111-12i−2i−ii−iii−i2-2-11000000002-2-222i−2i−2i2i00-11−ii00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000-111-1−iii−i0000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ592-2-222i−2i−2i2i2-12i−2i2-2-2-2211-1−2i2ii−i2i−2i−ii-111-12i−2i−ii−iii−i2-2-1100000000-222-2−2i2i2i−2i00-11−ii00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000001-1-11i−i−ii0000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ602-2-222i−2i−2i2i2-12i−2i2-2-2-2211-1−2i2ii−i2i−2i−ii-111-12i−2i−ii−iii−i2-2-1100000000-222-2−2i2i2i−2i00-11−ii00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000001-1-11i−i−ii0000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.