Finite Group Databasebeta

← Group #13160915

Character table — Group #13160915

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222233334444444444444444444444444444444444444444444466666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121218181818363636363636545454547272108108
order1222333334466666666666666644442233336666666666666666666666666666121212121212121212124412121212121212121212121212121212666666666666666666121212121212121244121212121212121212121212121212121212121212121212888844242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1
χ911-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−ii−iii−i−i11-1-1i−i1-1
χ1011-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−ii−i−iii-1-111−ii-11
χ1111-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiii−i−i11-1-1−ii-11
χ1211-1-111111-11-111111-1-1-1-1-1-1-1-1-1ii−i−i-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiii−i−i−iii-1-111i−i1-1
χ1311-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−ii−iii−i−i-1-111i−i-11
χ1411-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−ii−i−iii11-1-1−ii1-1
χ1511-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−iiii−i−i-1-111−ii1-1
χ1611-1-111111-11-111111-1-1-1-1-1-1-1-1-1−i−iii-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−iii11-1-1i−i-11
χ17222222222-2-222222222222222222220022220000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222222-2-2222222222222222-2-2-2-20022220000000000000000222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-200222222220000000000000000000000000000000000
χ1922222222-122-12222-122222222-1000022-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000222222-1-1-1-10000-1-100
χ2022222222-122-12222-122222222-1000022-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-2-2-2111100001100
χ2122222222-122-12222-122222222-10000-2-2-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1000000000000000000111111111111111111-1-1-1-1-1-1-1-1000000000000000000000000002222-2-2-1-1-1-100001100
χ2222222222-122-12222-122222222-10000-2-2-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1000000000000000000111111111111111111-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-22211110000-1-100
χ2322222-1-1-122222-1-1-122-1-1-12-1-1-122222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2422222-1-1-122222-1-1-122-1-1-12-1-1-122222-2-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000
χ2522222-1-1-122222-1-1-122-1-1-12-1-1-12-2-2-2-2222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2111111-2-21111112222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2111-2111-2-2111111-2-2111111000000000000000000
χ2622222-1-1-122222-1-1-122-1-1-12-1-1-12-2-2-2-2-2-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2111111-2-2111111-2-2-2-2111111-2-21111112-1-1-12-1-1-122-2111-211122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ2722222-1-1-12-2-222-1-1-122-1-1-12-1-1-122222002-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i322-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-222-1-1-1-1-1-122-1-1-1-1-1-10000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2111-211100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ2822222-1-1-12-2-222-1-1-122-1-1-12-1-1-122222002-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i322-1-1-1-1-1-12-1-1-1-2111-2-2111-2-2-222-1-1-1-1-1-122-1-1-1-1-1-10000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2111-211100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ2922222-1-1-12-2-222-1-1-122-1-1-12-1-1-12-2-2-2-2002-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i322-1-1-1-1-1-12-1-1-1-2111-2-2111-222-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2111-2111002-1-1-12-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000000000
χ3022222-1-1-12-2-222-1-1-122-1-1-12-1-1-12-2-2-2-2002-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i322-1-1-1-1-1-12-1-1-1-2111-2-2111-222-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2111-2111002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000000000
χ312222-12-1-12222-12-1-12-12-1-1-12-1-12222222-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ322222-12-1-12222-12-1-12-12-1-1-12-1-122222-2-2-12-1-111-211-21111-211-211-1-122-1-1-1-1-12-1-1-12-1-12-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-211-12-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-211000000000000000000
χ332222-12-1-12222-12-1-12-12-1-1-12-1-12-2-2-2-222-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-211-2-2111111-2-2111122-1-12-1-12-1-1-1-12-1-12-1-1-12-1-1-12-1-1-2-21-2111-21111-211-21111-211-211000000000000000000
χ342222-12-1-12222-12-1-12-12-1-1-12-1-12-2-2-2-2-2-2-12-1-111-211-21111-211-211-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-211-2-2111111-2-21111-2-211-211-21111-211-211-12-1-1-12-1-1221-2111-211-1-12-1-12-1-1-1-12-1-12-1-1000000000000000000
χ352222-12-1-12-2-22-12-1-12-12-1-1-12-1-12222200-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-1-122-1-1-1-1-12-1-11-211-21-211-2-2-2-1-122-1-1-1-1-1-122-1-1-1-100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i31-2111-211001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ362222-12-1-12-2-22-12-1-12-12-1-1-12-1-12222200-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-1-122-1-1-1-1-12-1-11-211-21-211-2-2-2-1-122-1-1-1-1-1-122-1-1-1-100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i31-2111-211001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ372222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-2-2-2-200-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-1-122-1-1-1-1-12-1-11-211-21-211-22211-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i31-2111-21100-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000000
χ382222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-2-2-2-200-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-1-122-1-1-1-1-12-1-11-211-21-211-22211-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i31-2111-21100-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000000
χ392222-1-12-12222-1-12-12-1-12-1-1-12-12222222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-12-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ402222-1-12-12222-1-12-12-1-12-1-1-12-122222-2-2-1-12-1111-2111-2111-2111-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-2-1-12-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2000000000000000000
χ412222-1-12-12222-1-12-12-1-12-1-1-12-12-2-2-2-222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-2-21111-2-2111111-2-21122-1-1-12-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-2-211-2111-21111-2111-2111-2111-2000000000000000000
χ422222-1-12-12222-1-12-12-1-12-1-1-12-12-2-2-2-2-2-2-1-12-1111-2111-2111-2111-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-2-21111-2-2111111-2-211-2-2111-2111-2111-2111-2-1-12-1-1-12-12211-2111-21-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ432222-1-12-12-2-22-1-12-12-1-12-1-1-12-12222200-1-12-1−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-1-1-1-122-1-1-1-12-111-21-211-21-2-2-2-1-1-1-122-1-1-1-1-1-122-1-100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3011-2111-210011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000000000
χ442222-1-12-12-2-22-1-12-12-1-12-1-1-12-12222200-1-12-1i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30-1-1-1-122-1-1-1-12-111-21-211-21-2-2-2-1-1-1-122-1-1-1-1-1-122-1-100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3011-2111-210011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000000000
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χ1578-88-8-4-48-4-400-444-844-4-48-444-84400000022-4200000000000000002-22-2-442-2-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1588-88-8-4-4-48-400-4444-84-4-4-48444-84000000222-400000000000000002-22-22-2-44-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1598-8-888-4-4-4-4004-84444-84448-4-4-4-4000000-422200000000000000004-4-22-22-224-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-88-48-4-4-40044-84444-844-48-4-4-40000002-4220000000000000000-224-4-22-22-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-88-4-48-4-400444-84444-84-4-48-4-400000022-420000000000000000-22-224-4-22-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-88-4-4-48-4004444-84444-8-4-4-48-4000000222-40000000000000000-22-22-224-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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