Finite Group Databasebeta

← Group #11784471

Character table — Group #11784471

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121288888888888888881212121212121212121212121212121212121212444444444444444424242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1ii−i−i
χ1011-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−i−iii
χ1111-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-1-1-1-1-11111iiii−i−i−i−i11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i-1-111−i−iii
χ1211-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-1-1-1-1-11111−i−i−i−iiiii11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii-1-111ii−i−i
χ1311-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii-1-111−i−iii
χ1411-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111ii−i−i
χ1511-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1ii−i−i
χ1611-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1−i−iii
χ171-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11i−ii−i-111-1-11-11-1-111-11-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1
χ181-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11i−ii−i-111-1-11-11-1-111-11-111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−i1-11-1ii−i−iii−i−i−i−iii−i−iiii−ii−i-11-1111-1-111-1-1−i−iii−i−iii−ii−ii-11-11i−ii−i-11-11
χ191-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11i−ii−i-111-1-11-11-1-111-11-1-1-111-1-111ii−i−iii−i−ii−ii−ii−ii−i1-11-1ii−i−iii−i−i−i−iii−i−iii−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1−ii−ii-11-11
χ201-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11i−ii−i-111-1-11-11-1-111-11-1-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i1-11-1ii−i−iii−i−iii−i−iii−i−i−ii−ii-11-11-1-111-1-111−i−iii−i−iiii−ii−i-11-11−ii−ii1-11-1
χ211-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11−ii−ii-111-1-11-11-1-111-11-111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−ii1-11-1−i−iii−i−iiiii−i−iii−i−i−ii−ii-11-1111-1-111-1-1ii−i−iii−i−ii−ii−i-11-11−ii−ii-11-11
χ221-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11−ii−ii-111-1-11-11-1-111-11-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-11-1−ii−ii1-11-1
χ231-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11−ii−ii-111-1-11-11-1-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii1-11-1−i−iii−i−iii−i−iii−i−iiii−ii−i-11-11-1-111-1-111ii−i−iii−i−i−ii−ii-11-11i−ii−i1-11-1
χ241-111-1-1-1111-111-1-1-1111-1-1-1-111-11-11−ii−ii-111-1-11-11-1-111-11-1-1-111-1-111−i−iii−i−iii−ii−ii−ii−ii1-11-1−i−iii−i−iiiii−i−iii−i−ii−ii−i1-11-1-1-111-1-111−i−iii−i−iiii−ii−i1-11-1i−ii−i-11-11
χ251-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11i−i−ii-1-1-1111-11-1-1-1-111111-1-1-1-11111-1-1-1-111i−i−iii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i11-1-1-1-11111-1-1-1-1111-1-11−iii−ii−i−ii−iii−i
χ261-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11i−i−ii-1-1-1111-11-1-1-1-111111-1-1-1-111-1-11111-1-1i−i−iii−i−ii1-1-11ii−i−i−i−iii-1-11111-1-1i−i−iii−i−ii11-1-1-1-111-1-11111-1-1-111-1i−i−iii−i−iii−i−ii
χ271-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11i−i−ii-1-1-1111-11-1-1-1-1111-1-11111-1-111-1-1-1-111i−i−iii−i−ii1-1-11ii−i−i−i−iii-1-11111-1-1−iii−i−iii−i-1-11111-1-111-1-1-1-111-111-1−iii−i−iii−ii−i−ii
χ281-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11i−i−ii-1-1-1111-11-1-1-1-1111-1-11111-1-1-1-11111-1-1i−i−iii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−iii−ii−i−ii-1-11111-1-1-1-11111-1-11-1-11i−i−ii−iii−i−iii−i
χ291-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11−iii−i-1-1-1111-11-1-1-1-111111-1-1-1-11111-1-1-1-111−iii−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii11-1-1-1-11111-1-1-1-1111-1-11i−i−ii−iii−ii−i−ii
χ301-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11−iii−i-1-1-1111-11-1-1-1-111111-1-1-1-111-1-11111-1-1−iii−i−iii−i1-1-11−i−iiiii−i−i-1-11111-1-1−iii−i−iii−i11-1-1-1-111-1-11111-1-1-111-1−iii−i−iii−i−iii−i
χ311-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11−iii−i-1-1-1111-11-1-1-1-1111-1-11111-1-111-1-1-1-111−iii−i−iii−i1-1-11−i−iiiii−i−i-1-11111-1-1i−i−iii−i−ii-1-11111-1-111-1-1-1-111-111-1i−i−iii−i−ii−iii−i
χ321-1-11-111-111-1-111-1-1-1-1-1111111-1-1-11−iii−i-1-1-1111-11-1-1-1-1111-1-11111-1-1-1-11111-1-1−iii−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111i−i−ii−iii−i-1-11111-1-1-1-11111-1-11-1-11−iii−ii−i−iii−i−ii
χ332222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000022222222000000000000000000000000-2-2-2-2000000000000
χ342222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ35222222222-122222-122-122-1-12-1-1-12-12222-1-1-1-1-1-1-1-12-12-122-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ36222222222-122222-122-122-1-12-1-1-12-12222-1-1-1-1-1-1-1-12-12-122-100000000-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000111100000000
χ37222222222-122222-122-122-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12-12-122-100000000222222221111-2-2-2-2-1-1-1-111111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000111100000000
χ38222222222-122222-122-122-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12-12-122-100000000-2-2-2-2-2-2-2-21111-2-2-2-2-1-1-1-111111111000000000000222200000000111111110000-1-1-1-100000000
χ3922222222-122222-12-1-12-1-122-1222-1-12222-1-1-1-1-1-1-12-12-12-1-1222222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ4022222222-122222-12-1-12-1-122-1222-1-12222-1-1-1-1-1-1-12-12-12-1-12-2-2-2-2-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000000011110000
χ4122222222-122222-12-1-12-1-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-12-12-12-1-122222222200000000-2-2-2-21111-1-1-1-11111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000000011110000
χ4222222222-122222-12-1-12-1-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-12-12-12-1-12-2-2-2-2-2-2-2-200000000-2-2-2-21111-1-1-1-1111111110000000022220000111111110000000000000000-1-1-1-10000
χ43222-2-22-2-2220000222-222-22-2-2-2-2-2-22000022-22-2-2-2000000002−22−22−22−22−22−22−22−2000000000000000000002-22-22-22-2000000002−22−22−22−22−22−22−22−20000000000000000
χ44222-2-22-2-2220000222-222-22-2-2-2-2-2-22000022-22-2-2-2000000002−22−22−22−2−22−22−22−2200000000000000000000-22-22-22-22000000002−22−22−22−2−22−22−22−220000000000000000
χ45222-2-22-2-2220000222-222-22-2-2-2-2-2-22000022-22-2-2-200000000−22−22−22−222−22−22−22−200000000000000000000-22-22-22-2200000000−22−22−22−222−22−22−22−20000000000000000
χ46222-2-22-2-2220000222-222-22-2-2-2-2-2-22000022-22-2-2-200000000−22−22−22−22−22−22−22−22000000000000000000002-22-22-22-200000000−22−22−22−22−22−22−22−220000000000000000
χ4722-222-2-2-222-22-2222-2-2-2-2-2-2-2222-22200002-2-2-2-222-2-2-2222-22000000000000000000000000-2-222000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ4822-222-2-2-222-22-2222-2-2-2-2-2-2-2222-22200002-2-2-2-222-2-2-2222-22000000000000000000000000-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ4922-222-2-2-22-12-22-22-1-2-21-2-2112-1-112-122-2-2-11111-1-1-12-1-21-221000000002i2i2i2i−2i−2i−2i−2i-1-11122-2-2-1-111-1-1-1-111110000000000002i2i−2i−2i00000000−i−i−i−iiiii0000−i−iii00000000
χ5022-222-2-2-22-12-22-22-1-2-21-2-2112-1-112-122-2-2-11111-1-1-12-1-21-22100000000−2i−2i−2i−2i2i2i2i2i-1-11122-2-2-1-111-1-1-1-11111000000000000−2i−2i2i2i00000000iiii−i−i−i−i0000ii−i−i00000000
χ5122-222-2-2-22-12-22-22-1-2-21-2-2112-1-112-1-2-222-11111-1-1-12-1-21-221000000002i2i2i2i−2i−2i−2i−2i11-1-1-2-222-1-1111111-1-1-1-1000000000000−2i−2i2i2i00000000−i−i−i−iiiii0000ii−i−i00000000
χ5222-222-2-2-22-12-22-22-1-2-21-2-2112-1-112-1-2-222-11111-1-1-12-1-21-22100000000−2i−2i−2i−2i2i2i2i2i11-1-1-2-222-1-1111111-1-1-1-10000000000002i2i−2i−2i00000000iiii−i−i−i−i0000−i−iii00000000
χ5322-222-2-2-2-122-22-2-1211-211-2-2-122-2-1-122-2-2-11111-1-12-121-21-1-22222-2-2-2-20000000022-2-2-1-111-1-111-1-1-1-111110000000022-2-20000-1-1-1-111110000000000000000-1-1110000
χ5422-222-2-2-2-122-22-2-1211-211-2-2-122-2-1-122-2-2-11111-1-12-121-21-1-2-2-2-2-222220000000022-2-2-1-111-1-111-1-1-1-1111100000000-2-22200001111-1-1-1-1000000000000000011-1-10000
χ5522-222-2-2-2-122-22-2-1211-211-2-2-122-2-1-1-2-222-11111-1-12-121-21-1-22222-2-2-2-200000000-2-22211-1-1-1-1111111-1-1-1-100000000-2-2220000-1-1-1-11111000000000000000011-1-10000
χ5622-222-2-2-2-122-22-2-1211-211-2-2-122-2-1-1-2-222-11111-1-12-121-21-1-2-2-2-2-2222200000000-2-22211-1-1-1-1111111-1-1-1-10000000022-2-200001111-1-1-1-10000000000000000-1-1110000
χ5722-2-2-2-22222000022-22-2-22-22-2-2-22-2200002-22-22-2-2000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000002i−2i2i−2i−2i2i−2i2i000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ5822-2-2-2-22222000022-22-2-22-22-2-2-22-2200002-22-22-2-2000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000−2i2i−2i2i2i−2i2i−2i000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ5922-2-2-2-22222000022-22-2-22-22-2-2-22-2200002-22-22-2-200000000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000000000−2i2i−2i2i2i−2i2i−2i00000000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6022-2-2-2-22222000022-22-2-22-22-2-2-22-2200002-22-22-2-200000000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000002i−2i2i−2i−2i2i−2i2i00000000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ612-222-2-2-22222-2-22-2-2222-2-2-2-222-22-220000-222-2-22-2-222-2-22-22000000000000000000000000-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ622-222-2-2-22222-2-22-2-2222-2-2-2-222-22-220000-222-2-22-2-222-2-22-22000000000000000000000000-22-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ632-222-2-2-222-1-222-2-2122-1-2-2112-11-1-2-12i−2i2i−2i1-1-111-11-1-212-1-221000000002i2i−2i−2i2i2i−2i−2i−ii−ii2i−2i2i−2i-11-11−i−iii−i−iii0000000000002-22-200000000−i−iii−i−iii0000-11-1100000000
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χ1284-4-4-444-44-2400002-42-2-4-224-42-444-2-2000022-2-222-200000000−222222−2222−22−2222000000000000000000000000000000000000000000002−2−22−222−2000000000000000000000000
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χ1328-8-8-888-88-4-40000444-44-44-4444-4-4-420000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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