Finite Group Databasebeta

← Group #11805195

Character table — Group #11805195

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order122222223366666666666666344444466666661212121212121212222244444444444412121212121212121212121212121212121212124444444466661212121212121212121212124444444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ1711-1-1-111-1111-1-111-1-1-11-1-111-11i−ii−i1-111-1-11-1-1ii−i−i11-1-111-1-1ii−i−i11-1-111-1-1i−ii−i1-1i−iii−i−iii−i−i11-1-1i−ii−i1-1i−i11-1-111-1-111-1-1ii−i−i11-1-1ii−i−ii−ii−i1-1i−i1-1i−i
χ1811-1-1-111-1111-1-111-1-1-11-1-111-11i−ii−i1-111-1-11-1-1ii−i−i11-1-111-1-1−i−iii-1-11111-1-1i−ii−i1-1i−iii−i−iii−i−i11-1-1i−i−ii-11i−i11-1-1-1-11111-1-1−i−iii-1-111−i−iiii−ii−i-11−ii-11−ii
χ1911-1-1-111-1111-1-111-1-1-11-1-111-11i−ii−i1-111-1-11-1-1ii−i−i11-1-1-1-111ii−i−i11-1-1-1-111i−ii−i1-1i−iii−i−iii−i−i11-1-1−iii−i1-1−ii-1-11111-1-1-1-111ii−i−i-1-111−i−iii−ii−ii1-1i−i-11−ii
χ2011-1-1-111-1111-1-111-1-1-11-1-111-11i−ii−i1-111-1-11-1-1ii−i−i11-1-1-1-111−i−iii-1-111-1-111i−ii−i1-1i−iii−i−iii−i−i11-1-1−ii−ii-11−ii-1-111-1-111-1-111−i−iii11-1-1ii−i−i−ii−ii-11−ii1-1i−i
χ2111-1-1-111-1111-1-111-1-1-11-1-111-11i−i−ii-1111-1-11-1-1ii−i−i-1-11111-1-1ii−i−i11-1-1-1-111i−i−ii-11−iiii−i−i−i−iii-1-111i−i−ii-11−ii11-1-111-1-1-1-111ii−i−i-1-111ii−i−ii−i−ii-11−ii1-1−ii
χ2211-1-1-111-1111-1-111-1-1-11-1-111-11i−i−ii-1111-1-11-1-1ii−i−i-1-11111-1-1−i−iii-1-111-1-111i−i−ii-11−iiii−i−i−i−iii-1-111i−ii−i1-1−ii11-1-1-1-111-1-111−i−iii11-1-1−i−iiii−i−ii1-1i−i-11i−i
χ2311-1-1-111-1111-1-111-1-1-11-1-111-11i−i−ii-1111-1-11-1-1ii−i−i-1-111-1-111ii−i−i11-1-111-1-1i−i−ii-11−iiii−i−i−i−iii-1-111−ii−ii-11i−i-1-11111-1-111-1-1ii−i−i11-1-1−i−iii−iii−i-11−ii-11i−i
χ2411-1-1-111-1111-1-111-1-1-11-1-111-11i−i−ii-1111-1-11-1-1ii−i−i-1-111-1-111−i−iii-1-11111-1-1i−i−ii-11−iiii−i−i−i−iii-1-111−iii−i1-1i−i-1-111-1-11111-1-1−i−iii-1-111ii−i−i−iii−i1-1i−i1-1−ii
χ2511-1-1-111-1111-1-111-1-1-11-1-111-11−iii−i-1111-1-11-1-1−i−iii-1-11111-1-1ii−i−i-1-111-1-111−iii−i-11i−i−i−iiiii−i−i-1-111−ii−ii1-1i−i11-1-1-1-111-1-111ii−i−i11-1-1ii−i−i−iii−i1-1−ii-11−ii
χ2611-1-1-111-1111-1-111-1-1-11-1-111-11−iii−i-1111-1-11-1-1−i−iii-1-11111-1-1−i−iii11-1-1-1-111−iii−i-11i−i−i−iiiii−i−i-1-111−iii−i-11i−i11-1-111-1-1-1-111−i−iii-1-111−i−iii−iii−i-11i−i1-1i−i
χ2711-1-1-111-1111-1-111-1-1-11-1-111-11−iii−i-1111-1-11-1-1−i−iii-1-111-1-111ii−i−i-1-11111-1-1−iii−i-11i−i−i−iiiii−i−i-1-111i−i−ii1-1−ii-1-111-1-11111-1-1ii−i−i-1-111−i−iiii−i−ii1-1−ii1-1i−i
χ2811-1-1-111-1111-1-111-1-1-11-1-111-11−iii−i-1111-1-11-1-1−i−iii-1-111-1-111−i−iii11-1-111-1-1−iii−i-11i−i−i−iiiii−i−i-1-111i−ii−i-11−ii-1-11111-1-111-1-1−i−iii11-1-1ii−i−ii−i−ii-11i−i-11−ii
χ2911-1-1-111-1111-1-111-1-1-11-1-111-11−ii−ii1-111-1-11-1-1−i−iii11-1-111-1-1ii−i−i-1-11111-1-1−ii−ii1-1−ii−i−iii−i−iii11-1-1−iii−i-11−ii11-1-1-1-11111-1-1ii−i−i-1-111ii−i−i−ii−ii-11i−i-11i−i
χ3011-1-1-111-1111-1-111-1-1-11-1-111-11−ii−ii1-111-1-11-1-1−i−iii11-1-111-1-1−i−iii11-1-111-1-1−ii−ii1-1−ii−i−iii−i−iii11-1-1−ii−ii1-1−ii11-1-111-1-111-1-1−i−iii11-1-1−i−iii−ii−ii1-1−ii1-1−ii
χ3111-1-1-111-1111-1-111-1-1-11-1-111-11−ii−ii1-111-1-11-1-1−i−iii11-1-1-1-111ii−i−i-1-111-1-111−ii−ii1-1−ii−i−iii−i−iii11-1-1i−ii−i-11i−i-1-111-1-111-1-111ii−i−i11-1-1−i−iiii−ii−i-11i−i1-1−ii
χ3211-1-1-111-1111-1-111-1-1-11-1-111-11−ii−ii1-111-1-11-1-1−i−iii11-1-1-1-111−i−iii11-1-1-1-111−ii−ii1-1−ii−i−iii−i−iii11-1-1i−i−ii1-1i−i-1-11111-1-1-1-111−i−iii-1-111ii−i−ii−ii−i1-1−ii-11i−i
χ33222222222-1222-1-12-1-12-1-12-12-1222222-1-1-1-1-1-1-12222-1-1-1-12222000000002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000000000000-1-1-1-100000000
χ34222222222-1222-1-12-1-12-1-12-12-1222222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200000000-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2111100001111000000000000111100000000
χ35222222222-1222-1-12-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-122221111222200000000-2-2-2-2-1-111-2-2-2-2-1-1-1-111111111220000-2-2-1-1-1-100001111000000000000-1-11100000000
χ36222222222-1222-1-12-1-12-1-12-12-122-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-2000000002222-1-111-2-2-2-2-1-1-1-111111111-2-200002211110000-1-1-1-100000000000011-1-100000000
χ37222222222-1222-1-12-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-21111222200000000-2-2-2-211-1-1-2-2221111-1-1-1-11111-2-2000022-1-1-1-10000111100000000000011-1-100000000
χ38222222222-1222-1-12-1-12-1-12-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200000000222211-1-1-2-2221111-1-1-1-11111220000-2-211110000-1-1-1-1000000000000-1-11100000000
χ39222222222-1222-1-12-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12222000000002222111122-2-211111111-1-1-1-1-2-20000-2-2-1-1-1-10000-1-1-1-1000000000000111100000000
χ40222222222-1222-1-12-1-12-1-12-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-200000000-2-2-2-2111122-2-211111111-1-1-1-122000022111100001111000000000000-1-1-1-100000000
χ4122222222-12-1-1-122-122-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1222200002222222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-10000-1-1-1-1000000000000-1-1-1-10000
χ4222222222-12-1-1-122-122-122-12-1-1222222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2-2-2-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000011110000111100000000000011110000
χ4322222222-12-1-1-122-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000022222222000022-2-21111-1-1-1-11111111100-2-2-2-2000000-1-1-1-10000-1-1-1-100000000000011110000
χ4422222222-12-1-1-122-122-122-12-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2000022-2-21111-1-1-1-111111111002222000000111100001111000000000000-1-1-1-10000
χ4522222222-12-1-1-122-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-200002222-2-2-2-20000-2-22211-1-11111-1-1-1-1111100-2-22200000011110000-1-1-1-1000000000000-1-1110000
χ4622222222-12-1-1-122-122-122-12-1-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-222220000-2-22211-1-11111-1-1-1-111110022-2-2000000-1-1-1-10000111100000000000011-1-10000
χ4722222222-12-1-1-122-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-11111222200002222-2-2-2-20000-2-2-2-2-1-11111111111-1-1-1-10022-2-200000011110000-1-1-1-100000000000011-1-10000
χ4822222222-12-1-1-122-122-122-12-1-1-2-2-2-222-1-1-1-1-1-1-1111122220000-2-2-2-222220000-2-2-2-2-1-11111111111-1-1-1-100-2-222000000-1-1-1-100001111000000000000-1-1110000
χ4922-2-2-222-22-12-2-2-1-1-2112112-1-2-12i−2i2i−2i2-2-1-111-1112i2i−2i−2i-1-11122-2-20000000022-2-2−ii−ii2-22i−2i−i−iii−i−iii-1-1112i−2i00002i−2i-1-1110000-1-111000000000000−ii−ii00000000
χ5022-2-2-222-22-12-2-2-1-1-2112112-1-2-12i−2i2i−2i2-2-1-111-1112i2i−2i−2i-1-111-2-22200000000-2-222−ii−ii2-22i−2i−i−iii−i−iii-1-111−2i2i0000−2i2i11-1-1000011-1-1000000000000i−ii−i00000000
χ5122-2-2-222-22-12-2-2-1-1-2112112-1-2-12i−2i−2i2i-22-1-111-1112i2i−2i−2i11-1-122-2-200000000-2-222−iii−i-22−2i2i−i−iiiii−i−i11-1-12i−2i0000−2i2i-1-111000011-1-1000000000000−iii−i00000000
χ5222-2-2-222-22-12-2-2-1-1-2112112-1-2-12i−2i−2i2i-22-1-111-1112i2i−2i−2i11-1-1-2-2220000000022-2-2−iii−i-22−2i2i−i−iiiii−i−i11-1-1−2i2i00002i−2i11-1-10000-1-111000000000000i−i−ii00000000
χ5322-2-2-222-22-12-2-2-1-1-2112112-1-2-1−2i2i2i−2i-22-1-111-111−2i−2i2i2i11-1-122-2-200000000-2-222i−i−ii-222i−2iii−i−i−i−iii11-1-1−2i2i00002i−2i-1-111000011-1-1000000000000i−i−ii00000000
χ5422-2-2-222-22-12-2-2-1-1-2112112-1-2-1−2i2i2i−2i-22-1-111-111−2i−2i2i2i11-1-1-2-2220000000022-2-2i−i−ii-222i−2iii−i−i−i−iii11-1-12i−2i0000−2i2i11-1-10000-1-111000000000000−iii−i00000000
χ5522-2-2-222-22-12-2-2-1-1-2112112-1-2-1−2i2i−2i2i2-2-1-111-111−2i−2i2i2i-1-11122-2-20000000022-2-2i−ii−i2-2−2i2iii−i−iii−i−i-1-111−2i2i0000−2i2i-1-1110000-1-111000000000000i−ii−i00000000
χ5622-2-2-222-22-12-2-2-1-1-2112112-1-2-1−2i2i−2i2i2-2-1-111-111−2i−2i2i2i-1-111-2-22200000000-2-222i−ii−i2-2−2i2iii−i−iii−i−i-1-1112i−2i00002i−2i11-1-1000011-1-1000000000000−ii−ii00000000
χ5722-2-2-222-2-12-111221-2-2-1-2-2-121-12i−2i2i−2i2-2-1-111-111−i−iii22-2-200002i2i−2i−2i22-2-200002i−2i2i−2i-11−ii−i−iii−i−iii-1-111002i−2i2-2000000-1-1110000−i−iii000000000000-11−ii0000
χ5822-2-2-222-2-12-111221-2-2-1-2-2-121-12i−2i2i−2i2-2-1-111-111−i−iii22-2-20000−2i−2i2i2i-2-22200002i−2i2i−2i-11−ii−i−iii−i−iii-1-11100−2i2i-2200000011-1-10000ii−i−i0000000000001-1i−i0000
χ5922-2-2-222-2-12-111221-2-2-1-2-2-121-12i−2i−2i2i-22-1-111-111−i−iii-2-22200002i2i−2i−2i22-2-200002i−2i−2i2i1-1i−i−i−iiiii−i−i11-1-100−2i2i-22000000-1-1110000−i−iii0000000000001-1i−i0000
χ6022-2-2-222-2-12-111221-2-2-1-2-2-121-12i−2i−2i2i-22-1-111-111−i−iii-2-2220000−2i−2i2i2i-2-22200002i−2i−2i2i1-1i−i−i−iiiii−i−i11-1-1002i−2i2-200000011-1-10000ii−i−i000000000000-11−ii0000
χ6122-2-2-222-2-12-111221-2-2-1-2-2-121-1−2i2i2i−2i-22-1-111-111ii−i−i-2-22200002i2i−2i−2i-2-2220000−2i2i2i−2i1-1−iiii−i−i−i−iii11-1-100−2i2i2-200000011-1-10000−i−iii000000000000-11i−i0000
χ6222-2-2-222-2-12-111221-2-2-1-2-2-121-1−2i2i2i−2i-22-1-111-111ii−i−i-2-2220000−2i−2i2i2i22-2-20000−2i2i2i−2i1-1−iiii−i−i−i−iii11-1-1002i−2i-22000000-1-1110000ii−i−i0000000000001-1−ii0000
χ6322-2-2-222-2-12-111221-2-2-1-2-2-121-1−2i2i−2i2i2-2-1-111-111ii−i−i22-2-200002i2i−2i−2i-2-2220000−2i2i−2i2i-11i−iii−i−iii−i−i-1-111002i−2i-2200000011-1-10000−i−iii0000000000001-1−ii0000
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Here i is the imaginary unit (i² = −1).