Finite Group Databasebeta

← Group #11777908

Character table — Group #11777908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12224444334444666666121212121212121236668888121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242444668888121212121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111i−ii−i-1-111-1-1ii−i−iii−i−ii−ii−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111−ii−ii-1-111-1-1−i−iii−i−iii−ii−ii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i−ii−ii−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1−ii−ii11-1-111−i−iii−i−iiii−ii−iii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111i−i−ii-1-1-1-111ii−i−i−i−iiii−ii−i−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111−iii−i-1-1-1-111−i−iiiii−i−i−ii−iiii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii−ii−iiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1−iii−i1111-1-1−i−iiiii−i−ii−ii−i−i−iii
χ172222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-10000000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21100001111110000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-2-1-10000-1-111110000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22211000011-1-1-1-10000000000000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-20000001111111100000000
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000022-2-2000000-1-1-1-1111100000000
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000-2-2220000001111-1-1-1-100000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ292222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-22-2-1-1000011-1-1110000000000000000
χ302222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-22110000-1-111-1-10000000000000000
χ312222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-1-100001111-1-10000000000000000
χ322222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-222-2110000-1-1-1-1110000000000000000
χ332222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002i−2i2i−2i000000−i−iii−i−iii00000000
χ342222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000−2i2i−2i2i000000ii−i−iii−i−i00000000
χ352222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000002i−2i−2i2i000000−i−iiiii−i−i00000000
χ362222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000−2i2i2i−2i000000ii−i−i−i−iii00000000
χ3722-2-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-2000000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ3822-2-22i−2i2i−2i222-22i−2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-20000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ3922-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-22i−2i2-2−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ4022-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-2−2i2i-22−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ4122-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-1-1112i−2i2-2−2i2ii−i−i−iiiii−i−i-221-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii22-2-2-1-111-1-1-1-111110000−i3i300003−33−3−i3i30000000000000000
χ4222-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-1-1112i−2i2-2−2i2ii−i−i−iiiii−i−i-221-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii22-2-2-1-111-1-1-1-111110000i3−i30000−33−33i3−i30000000000000000
χ4322-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-1-111−2i2i-22−2i2ii−i−i−iiiii−i−i-221-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i-2-22211-1-11111-1-1-1-10000−i3i300003−3−33i3−i30000000000000000
χ4422-2-22i−2i2i−2i2-1-22−2i2i2-2-2-1112i−2i−i−iii2i−2i-1-111−2i2i-22−2i2ii−i−i−iiiii−i−i-221-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i-2-22211-1-11111-1-1-1-10000i3−i30000−333−3−i3i30000000000000000
χ4522-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii-1-1112i−2i2-2i−i−2i2i−i−iiiii−i−i1-1-2211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii-1-11122-2-2-1-1-1-111110000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ4622-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii-1-1112i−2i2-2i−i−2i2i−i−iiiii−i−i1-1-2211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii-1-11122-2-2-1-1-1-111110000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ4722-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii-1-111−2i2i-22i−i−2i2i−i−iiiii−i−i1-1-2211-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i11-1-1-2-2221111-1-1-1-10000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ4822-2-22i−2i2i−2i-12-22−2i2i-1112-2-2−ii2i2i−2i−2i−ii-1-111−2i2i-22i−i−2i2i−i−iiiii−i−i1-1-2211-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i11-1-1-2-2221111-1-1-1-10000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ4922-2-2−2i2i−2i2i222-2−2i2i2-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-20000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ5022-2-2−2i2i−2i2i222-2−2i2i2-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-2000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ5122-2-2−2i2i−2i2i22-222i−2i2-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-22i−2i-222i−2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ5222-2-2−2i2i−2i2i22-222i−2i2-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-2−2i2i2-22i−2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ5322-2-2−2i2i−2i2i2-1-222i−2i2-2-2-111−2i2iii−i−i−2i2i-1-1112i−2i-222i−2i−iiii−i−i−i−iii-221-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii-2-22211-1-11111-1-1-1-10000−i3i30000−333−3i3−i30000000000000000
χ5422-2-2−2i2i−2i2i2-1-222i−2i2-2-2-111−2i2iii−i−i−2i2i-1-1112i−2i-222i−2i−iiii−i−i−i−iii-221-111-1-12i2i−2i−2i−i−iii−i−i−i−iiiii-2-22211-1-11111-1-1-1-10000i3−i300003−3−33−i3i30000000000000000
χ5522-2-2−2i2i−2i2i2-1-222i−2i2-2-2-111−2i2iii−i−i−2i2i-1-111−2i2i2-22i−2i−iiii−i−i−i−iii-221-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i22-2-2-1-111-1-1-1-111110000−i3i30000−33−33−i3i30000000000000000
χ5622-2-2−2i2i−2i2i2-1-222i−2i2-2-2-111−2i2iii−i−i−2i2i-1-111−2i2i2-22i−2i−iiii−i−i−i−iii-221-111-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i22-2-2-1-111-1-1-1-111110000i3−i300003−33−3i3−i30000000000000000
χ5722-2-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i−2i2i2ii−i-1-1112i−2i-22−ii2i−2iii−i−i−i−iii1-1-2211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii11-1-1-2-2221111-1-1-1-10000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ5822-2-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i−2i2i2ii−i-1-1112i−2i-22−ii2i−2iii−i−i−i−iii1-1-2211-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii11-1-1-2-2221111-1-1-1-10000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ5922-2-2−2i2i−2i2i-12-222i−2i-1112-2-2i−i−2i−2i2i2ii−i-1-111−2i2i2-2−ii2i−2iii−i−i−i−iii1-1-2211-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i-1-11122-2-2-1-1-1-111110000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.