Finite Group Databasebeta

← Group #11801954

Character table — Group #11801954

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12222222334444666666666666662234466666661212121212121212444444444444444466666666121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ131111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ141111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ151111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111
χ161111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ171-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-11-111-11-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1i−ii−ii−ii−i1-11-1
χ181-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-11-111-11-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-111-1-111-1-111-1-1-1-1-1-11111i−ii−i−ii−iiii−i−i−i−iiiii−i−i−i−iii-1-111i−i−iii−i−ii-11-11
χ191-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-11-111-11-1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-111-1-111-1-111-1-1-1-1-1-11111−ii−iii−ii−i−i−iiiii−i−i−i−iiiii−i−i-1-111−iii−i−iii−i-11-11
χ201-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-11-111-11-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1−ii−ii−ii−ii1-11-1
χ211-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−i11-1-1−ii−ii−ii−ii-11-11
χ221-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111−ii−iii−ii−iii−i−i−i−iiiii−i−i−i−iii-1-111−iii−i−iii−i1-11-1
χ231-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111i−ii−i−ii−ii−i−iiiii−i−i−i−iiiii−i−i-1-111i−i−iii−i−ii1-11-1
χ241-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1i−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii11-1-1i−ii−ii−ii−i-11-11
χ251-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1i−i−iii−i−iiii−i−iii−i−i−i−iii−i−iii-1-111−ii−iii−ii−i-111-1
χ261-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-1-111-1-111-1-111-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1−iii−ii−i−ii1-1-11
χ271-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-1-111-1-111-1-111-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1i−i−ii−iii−i1-1-11
χ281-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1−iii−i−iii−i−i−iii−i−iiiii−i−iii−i−i-1-111i−ii−i−ii−ii-111-1
χ291-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1−iii−i−iii−iii−i−iii−i−i−i−iii−i−iii-1-111i−ii−i−ii−ii1-1-11
χ301-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i11-1-1i−i−ii−iii−i-111-1
χ311-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii11-1-1−iii−ii−i−ii-111-1
χ321-1-1-1-111111-1-11111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1i−i−iii−i−ii−i−iii−i−iiiii−i−iii−i−i-1-111−ii−iii−ii−i1-1-11
χ33222222222-122222-12-122-1-122-1-12-122-122-1-1-1-1-1-1-122-1-122-1-100000000222222222-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-100000000000022220000-1-1-1-10000-1-1-1-1000000-1-100-1-10000
χ34222222222-122222-12-122-1-122-1-12-122-122-1-1-1-1-1-1-122-1-122-1-100000000-2-2-2-2-2-2-2-22-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200001111000011110000001100110000
χ35222222222-122222-12-122-1-122-1-12-1-2-2-1-2-2-1-1-1-1-1-1-122-1-122-1-10000000022222222-21-211111-21-21-1-1-1-11111000000000000-2-2-2-20000-1-1-1-10000-1-1-1-10000001100110000
χ36222222222-122222-12-122-1-122-1-12-1-2-2-1-2-2-1-1-1-1-1-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-21-211111-21-21-1-1-1-1111100000000000022220000111100001111000000-1-100-1-10000
χ37222222222-1-2-2-2-22-12-122-1-122-1-12-122-1-2-2-1-1-1-1-1-1-1-2-211-2-211000000002222-2-2-2-22-12-1-1-1-1-1-21-211111111100000000000022-2-20000-1-1-1-1000011110000001100-1-10000
χ38222222222-1-2-2-2-22-12-122-1-122-1-12-122-1-2-2-1-1-1-1-1-1-1-2-211-2-21100000000-2-2-2-222222-12-1-1-1-1-1-21-2111111111000000000000-2-222000011110000-1-1-1-1000000-1-100110000
χ39222222222-1-2-2-2-22-12-122-1-122-1-12-1-2-2-122-1-1-1-1-1-1-1-2-211-2-211000000002222-2-2-2-2-21-2111112-12-11111-1-1-1-1000000000000-2-2220000-1-1-1-100001111000000-1-100110000
χ40222222222-1-2-2-2-22-12-122-1-122-1-12-1-2-2-122-1-1-1-1-1-1-1-2-211-2-21100000000-2-2-2-22222-21-2111112-12-11111-1-1-1-100000000000022-2-2000011110000-1-1-1-10000001100-1-10000
χ4122222222-122222-12-12-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-122-1-1222222222200000000-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-10000000022220000-1-1-1-10000-1-1-1-100000000-1-100-1-1000000
χ4222222222-122222-12-12-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-200000000-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-100000000-2-2-2-2000011110000111100000000110011000000
χ4322222222-122222-12-12-1-122-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-12222222222000000001-21-211111-21-2-1-1-1-1111100000000-2-2-2-20000-1-1-1-10000-1-1-1-100000000110011000000
χ4422222222-122222-12-12-1-122-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2000000001-21-211111-21-2-1-1-1-11111000000002222000011110000111100000000-1-100-1-1000000
χ4522222222-12-2-2-2-2-12-12-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200000000-12-12-1-1-1-11-21-2111111110000000022-2-20000-1-1-1-100001111000000001100-1-1000000
χ4622222222-12-2-2-2-2-12-12-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000-12-12-1-1-1-11-21-21111111100000000-2-222000011110000-1-1-1-100000000-1-10011000000
χ4722222222-12-2-2-2-2-12-12-1-122-1-122-12-2-2-122-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-2000000001-21-21111-12-121111-1-1-1-100000000-2-2220000-1-1-1-10000111100000000-1-10011000000
χ4822222222-12-2-2-2-2-12-12-1-122-1-122-12-2-2-122-1-1-1-1-1-1-111-2-211-2-2-2-2-2-22222000000001-21-21111-12-121111-1-1-1-10000000022-2-2000011110000-1-1-1-1000000001100-1-1000000
χ49222-2-22-2-2220000-2-22-22-22-22-22-2-2200200-222-2-22-2000000002i−2i2i−2i00002-22-20000000000000000000000002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i2-22-2000000000000000000000000
χ50222-2-22-2-2220000-2-22-22-22-22-22-2-2200200-222-2-22-2000000002i−2i2i−2i0000-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i-22-22000000000000000000000000
χ51222-2-22-2-2220000-2-22-22-22-22-22-2-2200200-222-2-22-200000000−2i2i−2i2i00002-22-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i2-22-2000000000000000000000000
χ52222-2-22-2-2220000-2-22-22-22-22-22-2-2200200-222-2-22-200000000−2i2i−2i2i0000-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i-22-22000000000000000000000000
χ5322-22-2-22-2220000-2-22-2-22-22-22-22-2200200-22-22-2-220000000000002i−2i2i−2i00002-22-2000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ5422-22-2-22-2220000-2-22-2-22-22-22-22-2200200-22-22-2-220000000000002i−2i2i−2i0000-22-2200000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i-22-220000000000000000
χ5522-22-2-22-2220000-2-22-2-22-22-22-22-2200200-22-22-2-22000000000000−2i2i−2i2i00002-22-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ5622-22-2-22-2220000-2-22-2-22-22-22-22-2200200-22-22-2-22000000000000−2i2i−2i2i0000-22-22000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ5722-2-22-2-22222i−2i2i−2i2222-2-2-2-2-2-2-2-2220020022-2-22-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i2i−2i00002-2-222-2-220000000000000000000000002i−2i2i−2i000000000000
χ5822-2-22-2-22222i−2i2i−2i2222-2-2-2-2-2-2-2-2220020022-2-22-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i2i−2i0000-222-2-222-2000000000000000000000000−2i2i−2i2i000000000000
χ5922-2-22-2-2222−2i2i−2i2i2222-2-2-2-2-2-2-2-2220020022-2-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i00002-2-222-2-22000000000000000000000000−2i2i−2i2i000000000000
χ6022-2-22-2-2222−2i2i−2i2i2222-2-2-2-2-2-2-2-2220020022-2-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000-222-2-222-20000000000000000000000002i−2i2i−2i000000000000
χ612-222-2-2-22222i−2i−2i2i22-2-2-2-2-2-22222-2-2002002-222-2-2-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000002i−2i−2i2i00002-2-22-222-20000000000000000000000002i−2i−2i2i000000000000
χ622-222-2-2-22222i−2i−2i2i22-2-2-2-2-2-22222-2-2002002-222-2-2-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000002i−2i−2i2i0000-222-22-2-22000000000000000000000000−2i2i2i−2i000000000000
χ632-222-2-2-2222−2i2i2i−2i22-2-2-2-2-2-22222-2-2002002-222-2-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000−2i2i2i−2i00002-2-22-222-2000000000000000000000000−2i2i2i−2i000000000000
χ642-222-2-2-2222−2i2i2i−2i22-2-2-2-2-2-22222-2-2002002-222-2-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000−2i2i2i−2i0000-222-22-2-220000000000000000000000002i−2i−2i2i000000000000
χ652-22-22-22-2220000-2-2-22-22-222-22-22-200200-2-22-22-220000000000002-2-2200002i−2i−2i2i00000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000002-2-222i−2i−2i2i0000000000000000
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χ1274-4-4-4-4444-2-2-4-444-2-222-2-2-2-22222224-41-441-1-1-1-1112222-2-2-2-20000000000000000-2-22211-1-122-2-2-1-111-1-111000000000000000000000000000000000000000000000000
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χ1328-8-8888-8-8-4-40000444-4-44-444-44-4-4400200-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).