Finite Group Databasebeta

← Group #11784378

Character table — Group #11784378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444999999991212121212121212121212121212121218181818181818181818181824242424242424242424242424242424
order12224444223344444444446666661212121212121212366666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888444444448888888888888888888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-111-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iiiii−i−i1111-1-1-1-1-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii−i−iii-1-1-1-1111111-1-1-1-111ii−i−i−i−iii
χ121111-1-1-1-1-1-1111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i−i−iii-1-1-1-11111-1-11111-1-1−i−iiiii−i−i
χ131111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−iii−i−i-1-1-1-1111111-1-1-1-111−i−iiiii−i−i
χ141111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i-1-1-1-11111-1-11111-1-1ii−i−i−i−iii
χ151111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-111-1-111-1-1−i−iii−i−iii
χ161111-1-1-1-1-1-1111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i−i−iii1111-1-1-1-1-1-111-1-111ii−i−iii−i−i
χ1711-1-111-1-11-111-1ii−i−iii−i−i111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−ii−ii−ii−ii−i1-11-11-11-1i−ii−i11-1-111-1-1i−ii−ii−ii−i1-11-11-11-1
χ1811-1-111-1-11-111-1ii−i−iii−i−i111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i−ii−ii−ii−ii-11-11-11-11i−ii−i11-1-111-1-1−ii−ii−ii−ii-11-11-11-11
χ1911-1-111-1-11-111-1ii−i−iii−i−i111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iiii−ii−i−ii−ii1-11-1-11-11−ii−ii-1-111-1-111i−ii−i−ii−ii1-11-1-11-11
χ2011-1-111-1-11-111-1ii−i−iii−i−i111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−ii−iii−ii−i-11-111-11-1−ii−ii-1-111-1-111−ii−iii−ii−i-11-111-11-1
χ2111-1-111-1-11-111-1−i−iii−i−iii111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−ii−ii−i−ii−ii-11-111-11-1i−ii−i-1-111-1-111i−ii−i−ii−ii-11-111-11-1
χ2211-1-111-1-11-111-1−i−iii−i−iii111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i−ii−iii−ii−i1-11-1-11-11i−ii−i-1-111-1-111−ii−iii−ii−i1-11-1-11-11
χ2311-1-111-1-11-111-1−i−iii−i−iii111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iiii−ii−ii−ii−i-11-11-11-11−ii−ii11-1-111-1-1i−ii−ii−ii−i-11-11-11-11
χ2411-1-111-1-11-111-1−i−iii−i−iii111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−ii−ii−ii−ii1-11-11-11-1−ii−ii11-1-111-1-1−ii−ii−ii−ii1-11-11-11-1
χ2511-1-1-1-111-1111-111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111i−i−iii−i−ii−iii−i−iii−i1-1-1111-1-1-1-111i−i−iii−i−ii−iii−i−iii−i
χ2611-1-1-1-111-1111-111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−iii−i−iii−ii−i−iii−i−ii1-1-1111-1-1-1-111−iii−i−iii−ii−i−iii−i−ii
χ2711-1-1-1-111-1111-111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1i−i−ii−iii−i−iii−ii−i−ii-111-1-1-11111-1-1i−i−ii−iii−i−iii−ii−i−ii
χ2811-1-1-1-111-1111-111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1−iii−ii−i−iii−i−ii−iii−i-111-1-1-11111-1-1−iii−ii−i−iii−i−ii−iii−i
χ2911-1-1-1-111-1111-1-1-11111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111i−i−ii−iii−ii−i−ii−iii−i1-1-11-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ3011-1-1-1-111-1111-1-1-11111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111−iii−ii−i−ii−iii−ii−i−ii1-1-11-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ3111-1-1-1-111-1111-1-1-11111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1i−i−iii−i−iii−i−iii−i−ii-111-111-1-1-1-111i−i−iii−i−iii−i−iii−i−ii
χ3211-1-1-1-111-1111-1-1-11111-1-1111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−iii−i−iii−i−iii−i−iii−i-111-111-1-1-1-111−iii−i−iii−i−iii−i−iii−i
χ3322222222222-122222222222-122-1-122-1-122-1-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002222000022220000000000000000-1-1-1-10000-1-1-1-1
χ3422222222222-122222222222-122-1-122-1-122-1-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2-2-20000-2-2-2-20000000000000000111100001111
χ3522222222222-12-2-2-2-2-2-2-2-222-122-1-122-1-122-1-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000000022220000-2-2-2-20000000000000000-1-1-1-100001111
χ3622222222222-12-2-2-2-2-2-2-2-222-122-1-122-1-122-1-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000-2-2-2-200002222000000000000000011110000-1-1-1-1
χ372222222222-122222222222-12-1-122-1-122-1-122-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000022220000000000000000-1-1-1-10000-1-1-1-10000
χ382222222222-122222222222-12-1-122-1-122-1-122-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-20000-2-2-2-200000000000000001111000011110000
χ392222222222-122-2-2-2-2-2-2-2-22-12-1-122-1-122-1-122-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000022220000-2-2-2-20000000000000000-1-1-1-1000011110000
χ402222222222-122-2-2-2-2-2-2-2-22-12-1-122-1-122-1-122-1-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-2-2-200002222000000000000000011110000-1-1-1-10000
χ4122222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ4222222222-2-222-200000000-2222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ432222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i000000000000000000000000
χ442222-2-2-2-22222-200000000-2222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i000000000000000000000000
χ452222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i22-122-1-1-2-211-2-211-1-21-1-111-21-1112-12-1-1-1-1-111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii00000000000022-2-200002i2i−2i−2i0000000000000000-1-1110000−i−iii
χ462222-2-2-2-2-2-22-122i2i2i2i−2i−2i−2i−2i22-122-1-1-2-211-2-211-1-21-1-111-21-1112-12-1-1-1-1-111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii000000000000-2-2220000−2i−2i2i2i000000000000000011-1-10000ii−i−i
χ472222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i22-122-1-1-2-211-2-211-1-21-1-111-21-1112-12-1-1-1-1-11111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i00000000000022-2-20000−2i−2i2i2i0000000000000000-1-1110000ii−i−i
χ482222-2-2-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i22-122-1-1-2-211-2-211-1-21-1-111-21-1112-12-1-1-1-1-11111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000-2-22200002i2i−2i−2i000000000000000011-1-10000−i−iii
χ492222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i2-12-1-12211-2-211-2-2-11-2-1-1111-2-111-12-12-1-1-1-11111−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii0000000022-2-200002i2i−2i−2i0000000000000000-1-1110000−i−iii0000
χ502222-2-2-2-2-2-2-1222i2i2i2i−2i−2i−2i−2i2-12-1-12211-2-211-2-2-11-2-1-1111-2-111-12-12-1-1-1-11111−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii00000000-2-2220000−2i−2i2i2i000000000000000011-1-10000ii−i−i0000
χ512222-2-2-2-2-2-2-122−2i−2i−2i−2i2i2i2i2i2-12-1-12211-2-211-2-2-11-2-1-1111-2-111-12-12-1-1-1-11111ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i0000000022-2-20000−2i−2i2i2i0000000000000000-1-1110000ii−i−i0000
χ522222-2-2-2-2-2-2-122−2i−2i−2i−2i2i2i2i2i2-12-1-12211-2-211-2-2-11-2-1-1111-2-111-12-12-1-1-1-11111ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i00000000-2-22200002i2i−2i−2i000000000000000011-1-10000−i−iii0000
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χ1444-4-44−4i4i4i−4i00-2-20−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i0222-22-2−2i2i−2i2i2i−2i2i−2i100-11-3300-13-300003i−3i−3i3i−iii−i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i0000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.