Finite Group Databasebeta

← Group #11805708

Character table — Group #11805708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12222222336666666666666634444446666666121212121212121244444444444444441212121212121212121212121212121212121212224444441212121212121212121212121212121222224444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ171-111-1-1-11111-11-1-1-11-1-1111-1-11i−ii−i1-111-1-11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-11-1i−ii−ii−ii−i
χ181-111-1-1-11111-11-1-1-11-1-1111-1-11i−ii−i1-111-1-11-1-1ii−i−iii−i−i11-1-1ii−i−i−i−iii-1-111i−ii−i1-11-1ii−i−iii−i−i11-1-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111-1-1111-1-11i−i−ii−ii−ii
χ191-111-1-1-11111-11-1-1-11-1-1111-1-11i−ii−i1-111-1-11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i11-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111-1-111-111-1−iii−i−ii−ii
χ201-111-1-1-11111-11-1-1-11-1-1111-1-11i−ii−i1-111-1-11-1-1ii−i−iii−i−i-1-111−i−iii−i−iii-1-111i−ii−i1-11-1ii−i−iii−i−i11-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-111-1-1-11-11−ii−iii−ii−i
χ211-111-1-1-11111-11-1-1-11-1-1111-1-11i−i−ii-1111-1-11-1-1ii−i−i−i−iii11-1-1ii−i−iii−i−i-1-111i−i−ii-11-11ii−i−i−i−iii-1-111-111-1−ii−ii11-1-1-1-111ii−i−iii−i−i-1-11111-1-1-111-1−ii−iii−i−ii
χ221-111-1-1-11111-11-1-1-11-1-1111-1-11i−i−ii-1111-1-11-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iii11-1-1i−i−ii-11-11ii−i−i−i−iii-1-111-11-11−iii−i11-1-111-1-1ii−i−i−i−iii11-1-1-1-111-11-11−iii−i−iii−i
χ231-111-1-1-11111-11-1-1-11-1-1111-1-11i−i−ii-1111-1-11-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i-1-111i−i−ii-11-11ii−i−i−i−iii-1-1111-11-1i−i−ii-1-111-1-111−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii−iii−i
χ241-111-1-1-11111-11-1-1-11-1-1111-1-11i−i−ii-1111-1-11-1-1ii−i−i−i−iii-1-111−i−iii−i−iii11-1-1i−i−ii-11-11ii−i−i−i−iii-1-1111-1-11i−ii−i-1-11111-1-1−i−iii−i−iii-1-11111-1-11-1-11i−ii−ii−i−ii
χ251-111-1-1-11111-11-1-1-11-1-1111-1-11−iii−i-1111-1-11-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i11-1-1−iii−i-11-11−i−iiiii−i−i-1-111-11-11i−i−ii11-1-111-1-1−i−iiiii−i−i11-1-1-1-111-11-11i−i−iii−i−ii
χ261-111-1-1-11111-11-1-1-11-1-1111-1-11−iii−i-1111-1-11-1-1−i−iiiii−i−i11-1-1−i−iii−i−iii-1-111−iii−i-11-11−i−iiiii−i−i-1-111-111-1i−ii−i11-1-1-1-111−i−iii−i−iii-1-11111-1-1-111-1i−ii−i−iii−i
χ271-111-1-1-11111-11-1-1-11-1-1111-1-11−iii−i-1111-1-11-1-1−i−iiiii−i−i-1-111ii−i−iii−i−i11-1-1−iii−i-11-11−i−iiiii−i−i-1-1111-1-11−ii−ii-1-11111-1-1ii−i−iii−i−i-1-11111-1-11-1-11−ii−ii−iii−i
χ281-111-1-1-11111-11-1-1-11-1-1111-1-11−iii−i-1111-1-11-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii-1-111−iii−i-11-11−i−iiiii−i−i-1-1111-11-1−iii−i-1-111-1-111ii−i−i−i−iii11-1-1-1-1111-11-1−iii−ii−i−ii
χ291-111-1-1-11111-11-1-1-11-1-1111-1-11−ii−ii1-111-1-11-1-1−i−iii−i−iii11-1-1−i−iiiii−i−i-1-111−ii−ii1-11-1−i−iii−i−iii11-1-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111-1-1111-1-11−iii−ii−ii−i
χ301-111-1-1-11111-11-1-1-11-1-1111-1-11−ii−ii1-111-1-11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−i−iii−i−iii11-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-111-1-11-11-1−ii−ii−ii−ii
χ311-111-1-1-11111-11-1-1-11-1-1111-1-11−ii−ii1-111-1-11-1-1−i−iii−i−iii-1-111ii−i−iii−i−i-1-111−ii−ii1-11-1−i−iii−i−iii11-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1-11-11i−ii−i−ii−ii
χ321-111-1-1-11111-11-1-1-11-1-1111-1-11−ii−ii1-111-1-11-1-1−i−iii−i−iii-1-111ii−i−i−i−iii11-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111-1-111-111-1i−i−iii−ii−i
χ33222222222-122-1-122-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12222222222220000000022-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000000000000-1-100-1-1000000
χ34222222222-122-1-122-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000022-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111100001111000000000000110011000000
χ35222222222-122-1-122-1-1-12-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222200000000221111-2-2-1-1-1-111111111-2-200-2-200-1-1-1-10000-1-1-1-1000000000000110011000000
χ36222222222-122-1-122-1-1-12-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000221111-2-2-1-1-1-11111111122002200111100001111000000000000-1-100-1-1000000
χ37222222222-122-1-122-1-1-12-122-1-1-2-222-2-2-1-1-1-1-1-1-1111122222222-2-2-2-200000000-2-2-1-111-2-21111-1-1-1-11111-2-2002200-1-1-1-1000011110000000000001100-1-1000000
χ38222222222-122-1-122-1-1-12-122-1-1-2-222-2-2-1-1-1-1-1-1-111112222-2-2-2-2222200000000-2-2-1-111-2-21111-1-1-1-111112200-2-20011110000-1-1-1-1000000000000-1-10011000000
χ39222222222-122-1-122-1-1-12-122-1-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-200000000-2-211-1-12211111111-1-1-1-12200-2-200-1-1-1-100001111000000000000-1-10011000000
χ40222222222-122-1-122-1-1-12-122-1-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000-2-211-1-12211111111-1-1-1-1-2-200220011110000-1-1-1-10000000000001100-1-1000000
χ4122222222-12-1-122-1-1222-12-1-12-1222222-1-1-1-1-1-1-12222-1-1-1-10000000022222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000000000-1-100-1-10000
χ4222222222-12-1-122-1-1222-12-1-12-1222222-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011110000111100000000001100110000
χ4322222222-12-1-122-1-1222-12-1-12-122-2-2-2-2-1-1-1-1-1-1-122221111000000002222-2-2-2-2-1-1-2-2-2-211-1-1-1-111111111002200-2-2000011110000-1-1-1-10000000000-1-100110000
χ4422222222-12-1-122-1-1222-12-1-12-122-2-2-2-2-1-1-1-1-1-1-12222111100000000-2-2-2-22222-1-1-2-2-2-211-1-1-1-11111111100-2-200220000-1-1-1-10000111100000000001100-1-10000
χ4522222222-12-1-122-1-1222-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000222222221122-2-2111111-1-1-1-1111100-2-200-2-20000-1-1-1-10000-1-1-1-100000000001100110000
χ4622222222-12-1-122-1-1222-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-2-2-2-2-21122-2-2111111-1-1-1-111110022002200001111000011110000000000-1-100-1-10000
χ4722222222-12-1-122-1-1222-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-21111000000002222-2-2-2-211-2-222-1-111111111-1-1-1-100-2-20022000011110000-1-1-1-100000000001100-1-10000
χ4822222222-12-1-122-1-1222-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2111100000000-2-2-2-2222211-2-222-1-111111111-1-1-1-1002200-2-20000-1-1-1-1000011110000000000-1-100110000
χ49222-2-2-22-222-2222-2-2-2-2-22-2-22220000002-222-2-2-2000000002i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000002-22-20000000000000000
χ50222-2-2-22-222-2222-2-2-2-2-22-2-22220000002-222-2-2-2000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000-22-220000000000000000
χ51222-2-2-22-222-2222-2-2-2-2-22-2-22220000002-222-2-2-200000000−2i2i−2i2i000000002i−2i2i−2i0000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000-22-220000000000000000
χ52222-2-2-22-222-2222-2-2-2-2-22-2-22220000002-222-2-2-200000000−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000002-22-20000000000000000
χ5322-2-22-2-2222-22-222-222-2-2-22-2-22000000-2-22-222-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00002-22-2000000000000
χ5422-2-22-2-2222-22-222-222-2-2-22-2-22000000-2-22-222-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000-22-22000000000000
χ5522-2-22-2-2222-22-222-222-2-2-22-2-22000000-2-22-222-2000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000-22-22000000000000
χ5622-2-22-2-2222-22-222-222-2-2-22-2-22000000-2-22-222-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-22-2000000000000
χ572-222-2-2-222-12-2-11-2-2-1112-12-21-12i−2i2i−2i2-2-1-111-111−i−iii2i2i−2i−2i22-2-22i2i−2i−2i000000002i−2i−ii-112-2−i−iii−i−iii-1-1112-2002i−2i00-1-1110000−i−iii000000000000-1100−ii000000
χ582-222-2-2-222-12-2-11-2-2-1112-12-21-12i−2i2i−2i2-2-1-111-111−i−iii2i2i−2i−2i-2-222−2i−2i2i2i000000002i−2i−ii-112-2−i−iii−i−iii-1-111-2200−2i2i0011-1-10000ii−i−i0000000000001-100i−i000000
χ592-222-2-2-222-12-2-11-2-2-1112-12-21-12i−2i−2i2i-22-1-111-111−i−iii−2i−2i2i2i22-2-22i2i−2i−2i000000002i−2ii−i1-1-22−i−iiiii−i−i11-1-1-2200−2i2i00-1-1110000−i−iii0000000000001-100i−i000000
χ602-222-2-2-222-12-2-11-2-2-1112-12-21-12i−2i−2i2i-22-1-111-111−i−iii−2i−2i2i2i-2-222−2i−2i2i2i000000002i−2ii−i1-1-22−i−iiiii−i−i11-1-12-2002i−2i0011-1-10000ii−i−i000000000000-1100−ii000000
χ612-222-2-2-222-12-2-11-2-2-1112-12-21-1−2i2i2i−2i-22-1-111-111ii−i−i2i2i−2i−2i22-2-2−2i−2i2i2i00000000−2i2i−ii1-1-22ii−i−i−i−iii11-1-1-22002i−2i00-1-1110000ii−i−i0000000000001-100−ii000000
χ622-222-2-2-222-12-2-11-2-2-1112-12-21-1−2i2i2i−2i-22-1-111-111ii−i−i2i2i−2i−2i-2-2222i2i−2i−2i00000000−2i2i−ii1-1-22ii−i−i−i−iii11-1-12-200−2i2i0011-1-10000−i−iii000000000000-1100i−i000000
χ632-222-2-2-222-12-2-11-2-2-1112-12-21-1−2i2i−2i2i2-2-1-111-111ii−i−i−2i−2i2i2i22-2-2−2i−2i2i2i00000000−2i2ii−i-112-2ii−i−iii−i−i-1-1112-200−2i2i00-1-1110000ii−i−i000000000000-1100i−i000000
χ642-222-2-2-222-12-2-11-2-2-1112-12-21-1−2i2i−2i2i2-2-1-111-111ii−i−i−2i−2i2i2i-2-2222i2i−2i−2i00000000−2i2ii−i-112-2ii−i−iii−i−i-1-111-22002i−2i0011-1-10000−i−iii0000000000001-100−ii000000
χ652-222-2-2-22-12-112-2112-2-2-12-11-2-12i−2i2i−2i2-2-1-111-1112i2i−2i−2i−i−iii000000002i2i−2i−2i22-2-2−ii2i−2i2-2-11−i−iii−i−iii-1-111002-2002i−2i0000-1-1110000−i−iii0000000000-1100−ii0000
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χ682-222-2-2-22-12-112-2112-2-2-12-11-2-12i−2i−2i2i-22-1-111-1112i2i−2i−2iii−i−i00000000−2i−2i2i2i22-2-2−ii−2i2i-221-1−i−iiiii−i−i11-1-100-22002i−2i0000-1-1110000ii−i−i00000000001-100−ii0000
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χ782-2-2-2-222222-2-2-2-2-222-22-2-22222000000-2-2-222-220000000000002-2-22-222-200000000000000000000000000000000000000002-2-22-222-20000-222-2000000000000
χ792-2-2-2-222222-2-2-2-2-222-22-2-22222000000-2-2-222-22000000000000-222-22-2-220000000000000000000000000000000000000000-222-22-2-220000-222-2000000000000
χ802-2-2-2-222222-2-2-2-2-222-22-2-22222000000-2-2-222-22000000000000-222-2-222-20000000000000000000000000000000000000000-222-2-222-200002-2-22000000000000
χ8144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000
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χ1024-444-4-4-44-2-2-22-2222-222-2-2-22214i−4i4i−4i4-411-1-11-1-1−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i-22-22ii−i−iii−i−i11-1-100000000000000000000000000000000000000000000
χ1034-444-4-4-44-2-2-22-2222-222-2-2-22214i−4i−4i4i-4411-1-11-1-1−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i2-22-2ii−i−i−i−iii-1-11100000000000000000000000000000000000000000000
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χ1124-4-444-44-44-24-4224-42-22-4-2-44-2-20000002-22-22-222i3−2i3−2i32i300000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
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χ1194-4-4-4-44444-2-4-422-44-22-2-4244-2-2000000222-2-22-20000000000004-4-4400000000000000000000000000000000000000000000-222-2000000000000000000000000
χ1204-4-4-4-44444-2-4-422-44-22-2-4244-2-2000000222-2-22-2000000000000-444-4000000000000000000000000000000000000000000002-2-22000000000000000000000000
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χ1258-88-888-8-8-4-444-44-4-44-4-4-4444420000002-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-8-8888-4-444444-4-44-444-4-4-42000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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