Finite Group Databasebeta

← Group #11791043

Character table — Group #11791043

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12222222334444666666666666663666666612121212121212124444444488888888226666666666666666121212121212121212121212242424242424242488888888224466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ9111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11iiii−i−i−i−i1111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ10111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ11111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11iiii−i−i−i−i-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ12111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-11-1-111-1-111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ13111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11−i−i−i−iiiii1111-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ14111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ15111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11−i−i−i−iiiii-1-1-1-111111-111-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ16111-11-1-1-1111-11-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-11-1-111-1-111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000-2-2-2-222-2-222-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000000-2-2-2-2-2-222-2-222000000000000000000000000000000
χ19222222222-12222222-1-1-1-1-1-12-1222-1-1-1-1-1-1-1-122-122-1-1-10000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ20222222222-12222222-1-1-1-1-1-12-1222-1-1-1-1-1-1-1-122-122-1-1-10000000022222222-2-2-2-2-2-2111111111111-1-1-1-100000000-1-1-1-1-1-1-1-100000000-2-2001111000000
χ21222222222-12222222-1-1-1-1-1-12-1222-1-1-1-1-1-1-1-122-122-1-1-100000000-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2001111000000
χ22222222222-12222222-1-1-1-1-1-12-1222-1-1-1-1-1-1-1-122-122-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111-1-1-1-10000000011111111000000002200-1-1-1-1000000
χ2322222222-122222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000-1-1-1-100
χ2422222222-122222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222222222200000000-2-21111-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-20000111100
χ2522222222-122222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-20000111100
χ2622222222-122222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111-1-1-1-111111111000000000000000000220000-1-1-1-100
χ2722222222-12-2-2-2-2-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-111-211-2-2-222-2-222-2-20000000000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i31111-1-111-1-111000000000000000000000000−i3i3−i3i300
χ2822222222-12-2-2-2-2-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-111-211-2-2-222-2-222-2-20000000000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i31111-1-111-1-111000000000000000000000000i3−i3i3−i300
χ2922222222-12-2-2-2-2-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-111-211-2-2-2-2-222-2-2220000000000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3111111-1-111-1-1000000000000000000000000i3−i3i3−i300
χ3022222222-12-2-2-2-2-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-111-211-2-2-2-2-222-2-2220000000000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3111111-1-111-1-1000000000000000000000000−i3i3−i3i300
χ31222-22-2-2-222-22-2222-222-2-2-2-222-2-2-2222-2-2-2-22-2-2-22222-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ32222-22-2-2-222-22-2222-222-2-2-2-222-2-2-2222-2-2-2-22-2-2-22222-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ33222-22-2-2-22-12-22-222-2-1-111112-1-2-2-2-1-1-11111-122-1-2-211-1000000002222-2-2-2-22-222-2-2-1-111-1-1-1-11111-1-11100000000-1-1-1-11111000000002-200-1-111000000
χ34222-22-2-2-22-12-22-222-2-1-111112-1-2-2-2-1-1-11111-122-1-2-211-1000000002222-2-2-2-2-22-2-22211-1-11111-1-1-1-1-1-11100000000-1-1-1-1111100000000-220011-1-1000000
χ35222-22-2-2-22-12-22-222-2-1-111112-1-2-2-2-1-1-11111-122-1-2-211-100000000-2-2-2-222222-222-2-2-1-111-1-1-1-11111-1-111000000001111-1-1-1-100000000-220011-1-1000000
χ36222-22-2-2-22-12-22-222-2-1-111112-1-2-2-2-1-1-11111-122-1-2-211-100000000-2-2-2-22222-22-2-22211-1-11111-1-1-1-1-1-111000000001111-1-1-1-1000000002-200-1-111000000
χ37222-22-2-2-2-122-22-2-1-1122-2-2-2-2-12111-1-1-11111-1-1-1211-2-222i2i2i2i−2i−2i−2i−2i000000002-2-1-11122-2-2-1-1-1-11111-1-111−i−i−i−iiiii0000000000000000002i−2i0000−i−iii00
χ38222-22-2-2-2-122-22-2-1-1122-2-2-2-2-12111-1-1-11111-1-1-1211-2-222i2i2i2i−2i−2i−2i−2i00000000-2211-1-1-2-2221111-1-1-1-1-1-111−i−i−i−iiiii000000000000000000−2i2i0000ii−i−i00
χ39222-22-2-2-2-122-22-2-1-1122-2-2-2-2-12111-1-1-11111-1-1-1211-2-22−2i−2i−2i−2i2i2i2i2i000000002-2-1-11122-2-2-1-1-1-11111-1-111iiii−i−i−i−i000000000000000000−2i2i0000ii−i−i00
χ40222-22-2-2-2-122-22-2-1-1122-2-2-2-2-12111-1-1-11111-1-1-1211-2-22−2i−2i−2i−2i2i2i2i2i00000000-2211-1-1-2-2221111-1-1-1-1-1-111iiii−i−i−i−i0000000000000000002i−2i0000−i−iii00
χ41222-22-2-2-2-12-22-22-1-1122-2-2-2-2-12111-1-1-11111-111-2-1-122-22i2i−2i−2i−2i−2i2i2i0000000000−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-1−i−iiiii−i−i0000000000000000000000003−3−3300
χ42222-22-2-2-2-12-22-22-1-1122-2-2-2-2-12111-1-1-11111-111-2-1-122-22i2i−2i−2i−2i−2i2i2i0000000000i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i311-1-1−i−iiiii−i−i000000000000000000000000−333−300
χ43222-22-2-2-2-12-22-22-1-1122-2-2-2-2-12111-1-1-11111-111-2-1-122-2−2i−2i2i2i2i2i−2i−2i0000000000−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-1ii−i−i−i−iii000000000000000000000000−333−300
χ44222-22-2-2-2-12-22-22-1-1122-2-2-2-2-12111-1-1-11111-111-2-1-122-2−2i−2i2i2i2i2i−2i−2i0000000000i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i311-1-1ii−i−i−i−iii0000000000000000000000003−3−3300
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χ702-2-2-2222-22222-2-2-2-2-2-2-2-222-22222-22-2-2-222-222-22-22-22-200000000000000000000000000000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ712-2-2-2222-222-2-222-2-2-2-2-2-222-22222-22-2-2-222-22-22-22-22-22000000002-2-22-222-2000000000000000000-222-2000000002-2-22-222-20000000000000000000000
χ722-2-2-2222-222-2-222-2-2-2-2-2-222-22222-22-2-2-222-22-22-22-22-2200000000-222-22-2-22000000000000000000-222-200000000-222-22-2-220000000000000000000000
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Here i is the imaginary unit (i² = −1).