Finite Group Databasebeta

← Group #11803366

Character table — Group #11803366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444444444444444666666666666666688888888888888881212121212121212121212121212121212121212121212121212121212121212242424243636363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121222224444121212121212121212121212121212121212121212121212224444444444666666661212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1711-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i1-1i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ1811-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i1-1i−i-11−ii-11−ii11-1-111-1-1ii−i−i-1-111−i−iii-11−ii-11−ii-11−ii
χ1911-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i-1-111−i−iii−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i-11−ii1-1i−i1-1i−i-1-111-1-111−i−iii11-1-1ii−i−i1-1i−i-11−ii-11−ii
χ2011-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-111-1i−i11-1-1-11-111-1-1iiii−i−i−i−iii−i−i-1-111−i−iii−i−i−i−iiiii1-1i−i11-1-1ii−i−iii−i−i-11−ii-11−ii-11−ii-1-111-1-111−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ2111-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii11-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111ii−i−i−i−iii-11−ii1-1i−i-11−ii11-1-1-1-111−i−iii11-1-1ii−i−i-11−ii1-1i−i-11−ii
χ2211-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii11-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111ii−i−i−i−iii-11−ii-11−ii1-1i−i11-1-1-1-111−i−iii-1-111−i−iii1-1i−i-11−ii1-1i−i
χ2311-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii-1-111−i−iii−i−i−i−iiiii-11−ii-1-111ii−i−i−i−iii1-1i−i1-1i−i-11−ii-1-11111-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii1-1i−i
χ2411-1-11-11-111ii−i−i1-1-111-1-111-1-11-1-11-11−ii11-1-1-11-1-1-111iiii−i−i−i−i−i−iii-1-111−i−iii−i−i−i−iiiii-11−ii-1-111ii−i−i−i−iii1-1i−i-11−ii1-1i−i-1-11111-1-1ii−i−i-1-111−i−iii1-1i−i1-1i−i-11−ii
χ2511-1-11-11-111−i−iii1-1-111-1-111-1-11-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii1-1−ii1-1−ii1-1−ii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ2611-1-11-11-111−i−iii1-1-111-1-111-1-11-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii1-1−ii-11i−i-11i−i11-1-111-1-1−i−iii-1-111ii−i−i-11i−i-11i−i-11i−i
χ2711-1-11-11-111−i−iii1-1-111-1-111-1-11-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii-1-111ii−i−iiiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iii-11i−i1-1−ii1-1−ii-1-111-1-111ii−i−i11-1-1−i−iii1-1−ii-11i−i-11i−i
χ2811-1-11-11-111−i−iii1-1-111-1-111-1-11-1-111-1−ii11-1-1-11-111-1-1−i−i−i−iiiii−i−iii-1-111ii−i−iiiii−i−i−i−i1-1−ii11-1-1−i−iii−i−iii-11i−i-11i−i-11i−i-1-111-1-111ii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ2911-1-11-11-111−i−iii1-1-111-1-111-1-11-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i11-1-1−i−iii−i−i−i−iiiii-11i−i-1-111−i−iiiii−i−i-11i−i1-1−ii-11i−i11-1-1-1-111ii−i−i11-1-1−i−iii-11i−i1-1−ii-11i−i
χ3011-1-11-11-111−i−iii1-1-111-1-111-1-11-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i11-1-1−i−iii−i−i−i−iiiii-11i−i-1-111−i−iiiii−i−i-11i−i-11i−i1-1−ii11-1-1-1-111ii−i−i-1-111ii−i−i1-1−ii-11i−i1-1−ii
χ3111-1-11-11-111−i−iii1-1-111-1-111-1-11-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i-1-111ii−i−iiiii−i−i−i−i-11i−i-1-111−i−iiiii−i−i1-1−ii1-1−ii-11i−i-1-11111-1-1−i−iii11-1-1−i−iii-11i−i-11i−i1-1−ii
χ3211-1-11-11-111−i−iii1-1-111-1-111-1-11-1-11-11i−i11-1-1-11-1-1-111−i−i−i−iiiiiii−i−i-1-111ii−i−iiiii−i−i−i−i-11i−i-1-111−i−iiiii−i−i1-1−ii-11i−i1-1−ii-1-11111-1-1−i−iii-1-111ii−i−i1-1−ii1-1−ii-11i−i
χ33222222222-12222222-1-1-1-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222222-12222222-1-1-1-1-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111111100000000000000000000
χ35222222222-12222222-1-1-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122-1-122-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111-2-2-2-200000000-1-1-1-11111111100000000000000000000
χ36222222222-12222222-1-1-1-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122-1-122-1-11111-2-2-2-2-2-2-2-211111111-2-2-2-21111-1-1-1-111112222000000001111-1-1-1-1-1-1-1-100000000000000000000
χ37222222222-1-2-2-2-2222-1-1-1-1-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21111112222-2-2-2-21111111122-2-2-1-1-1-11111111122-2-200000000-1-1-1-1-1-1-1-1111100000000000000000000
χ38222222222-1-2-2-2-2222-1-1-1-1-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-1-1-1-111111111-2-2220000000011111111-1-1-1-100000000000000000000
χ39222222222-1-2-2-2-2222-1-1-1-1-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-211-2-211-1-1-1-12222-2-2-2-211111111-2-22211111111-1-1-1-1-2-22200000000-1-1-1-11111-1-1-1-100000000000000000000
χ40222222222-1-2-2-2-2222-1-1-1-1-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-211-2-211-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-122-2-2000000001111-1-1-1-1111100000000000000000000
χ4122222222-122222-1-1-122222-1-12-1-12-12222-1-1-1-1-1-1-12222-1-122-1-12222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222222000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000
χ4222222222-122222-1-1-122222-1-12-1-12-12222-1-1-1-1-1-1-12222-1-122-1-12222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-200000000000011111111111100000000
χ4322222222-122222-1-1-122222-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-122-1-122-2-2-2-2000000000000000011111111-1-1-1-1111100002222-2-2-2-2000000000000-1-1-1-1-1-1-1-1111100000000
χ4422222222-122222-1-1-122222-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-1-122-1-122-2-2-2-2000000000000000011111111-1-1-1-111110000-2-2-2-2222200000000000011111111-1-1-1-100000000
χ4522222222-12-2-2-2-2-1-1-122222-1-12-1-12-122-2-2-1-1-1-1-1-1-1222211-2-211-2-2-2-2-2-20000000000000000-1-111-1-1-1-111111111000022-2-222-2-2000000000000-1-1-1-11111-1-11100000000
χ4622222222-12-2-2-2-2-1-1-122222-1-12-1-12-122-2-2-1-1-1-1-1-1-1222211-2-211-2-2-2-2-2-20000000000000000-1-111-1-1-1-1111111110000-2-222-2-2220000000000001111-1-1-1-111-1-100000000
χ4722222222-12-2-2-2-2-1-1-122222-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211-2-211-2-22222000000000000000011-1-111111111-1-1-1-1000022-2-2-2-222000000000000-1-1-1-1111111-1-100000000
χ4822222222-12-2-2-2-2-1-1-122222-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-211-2-211-2-22222000000000000000011-1-111111111-1-1-1-10000-2-22222-2-20000000000001111-1-1-1-1-1-11100000000
χ4922-2-22-22-22-12i2i−2i−2i2-2-2-1-111-12-212-21-12-22i−2i-1-1111-11-1-1112i2i−i−i−2i−2iii−i−iii22-2-22i2i−2i−2i−i−i−i−iiiii2-22i−2i-1-111−i−iii−i−iii2-22i−2i00000000-1-111-1-111−i−iii00000000000000000000
χ5022-2-22-22-22-12i2i−2i−2i2-2-2-1-111-12-212-21-12-22i−2i-1-1111-11-1-1112i2i−i−i−2i−2iii−i−iii-2-222−2i−2i2i2iiiii−i−i−i−i2-22i−2i-1-111−i−iii−i−iii-22−2i2i0000000011-1-111-1-1ii−i−i00000000000000000000
χ5122-2-22-22-22-12i2i−2i−2i2-2-2-1-111-12-212-21-1-22−2i2i-1-1111-1111-1-12i2i−i−i−2i−2iiiii−i−i22-2-22i2i−2i−2i−i−i−i−iiiii-22−2i2i11-1-1−i−iiiii−i−i-22−2i2i00000000-1-11111-1-1ii−i−i00000000000000000000
χ5222-2-22-22-22-12i2i−2i−2i2-2-2-1-111-12-212-21-1-22−2i2i-1-1111-1111-1-12i2i−i−i−2i−2iiiii−i−i-2-222−2i−2i2i2iiiii−i−i−i−i-22−2i2i11-1-1−i−iiiii−i−i2-22i−2i0000000011-1-1-1-111−i−iii00000000000000000000
χ5322-2-22-22-22-1−2i−2i2i2i2-2-2-1-111-12-212-21-12-2−2i2i-1-1111-11-1-111−2i−2iii2i2i−i−iii−i−i22-2-2−2i−2i2i2iiiii−i−i−i−i2-2−2i2i-1-111ii−i−iii−i−i2-2−2i2i00000000-1-111-1-111ii−i−i00000000000000000000
χ5422-2-22-22-22-1−2i−2i2i2i2-2-2-1-111-12-212-21-12-2−2i2i-1-1111-11-1-111−2i−2iii2i2i−i−iii−i−i-2-2222i2i−2i−2i−i−i−i−iiiii2-2−2i2i-1-111ii−i−iii−i−i-222i−2i0000000011-1-111-1-1−i−iii00000000000000000000
χ5522-2-22-22-22-1−2i−2i2i2i2-2-2-1-111-12-212-21-1-222i−2i-1-1111-1111-1-1−2i−2iii2i2i−i−i−i−iii22-2-2−2i−2i2i2iiiii−i−i−i−i-222i−2i11-1-1ii−i−i−i−iii-222i−2i00000000-1-11111-1-1−i−iii00000000000000000000
χ5622-2-22-22-22-1−2i−2i2i2i2-2-2-1-111-12-212-21-1-222i−2i-1-1111-1111-1-1−2i−2iii2i2i−i−i−i−iii-2-2222i2i−2i−2i−i−i−i−iiiii-222i−2i11-1-1ii−i−i−i−iii2-2−2i2i0000000011-1-1-1-111ii−i−i00000000000000000000
χ5722-2-22-22-2-122i2i−2i−2i-11122-2-22-11-2-11-2-12-22i−2i-1-1111-1122-2-2−i−i2i2iii−2i−2i2i2i−2i−2i0000000000000000-11−ii-1-111−i−iii−i−iii00002-22i−2i2-22i−2i000000000000-1-111−i−iii-11−ii00000000
χ5822-2-22-22-2-122i2i−2i−2i-11122-2-22-11-2-11-2-12-22i−2i-1-1111-1122-2-2−i−i2i2iii−2i−2i2i2i−2i−2i0000000000000000-11−ii-1-111−i−iii−i−iii0000-22−2i2i-22−2i2i00000000000011-1-1ii−i−i1-1i−i00000000
χ5922-2-22-22-2-122i2i−2i−2i-11122-2-22-11-2-11-2-1-22−2i2i-1-1111-11-2-222−i−i2i2iii−2i−2i−2i−2i2i2i00000000000000001-1i−i11-1-1−i−iiiii−i−i00002-22i−2i-22−2i2i000000000000-1-111−i−iii1-1i−i00000000
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χ882-2-22-2-2222-1-222-2-2-221111-1-2-2-122-1-100001111-1-1-1i3−i3−i3i3-221-12-2-11−i3i3i3−i3-222-22-2-22-1-11111-1-10000i3−i3−i3i31-1-11−i3i3i3−i30000000000001-1-11−i3i3i3−i3i3−i3−i3i300000000000000000000
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χ9044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222-2-2-2-2-2-2-2-2222200000000000000002222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ9144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-22222222222220000000000000000-2-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
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χ1214-4-44-4-444-2-24-4-4422-22222-222-2-2-2-210000-1-1-1-11112i3−2i3−2i32i3-22-222-22-22i3−2i3−2i32i300000000000000000000−i3i3i3−i31-1-11−i3i3i3−i300000000000000000000000000000000000000000000
χ1224-4-44-4-444-2-2-444-422-22222-222-2-2-2-210000-1-1-1-1111−2i32i32i3−2i32-22-2-22-222i3−2i3−2i32i300000000000000000000i3−i3−i3i3-111-1−i3i3i3−i300000000000000000000000000000000000000000000
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χ1318-8888-8-8-8-4-40000-44-44-4-4444-4-444420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-888-88-4-40000-4-444-44-444444-4-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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