Finite Group Databasebeta

← Group #72341885

Character table — Group #72341885

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122226666666688888888121212121212121212121212121212123232323232323232323232323232323232323232323232323232323232323232484848484848484848484848484848484848484848484848484848484848484848484848
order12224444224422224444222244442222222244444444366666666666666612121212121212121212121212121212224444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ411111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11-111-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1111-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ811111111-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ91111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-11-11-11-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-111-11-1-11-11-1-111-1-111-1-111-1-111
χ111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-11-11-11-11-11-11-111-11-1-1-111-1-11111-1-111-1-1
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χ131111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-11-1-11-1-111-1-111-1-1111-1-1-1-11111-1-1-1-111
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χ151111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111-111-1-1-1-111-1-111-11-1-11-1-11111-1-111-1-1-1-111
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χ9988-8-8−8i8i−8i8i00000000000000-44004i−4i0000000000000000-1-11−i3i3−i3i3i3−i3i3−i31-11-11i−ii−i−33−333−33−3−ii−ii000000000000000000000000000000000000
χ10088-8-8−8i8i−8i8i00000000000000-44004i−4i0000000000000000-1-11i3−i3i3−i3−i3i3−i3i31-11-11i−ii−i3−33−3−33−33−ii−ii000000000000000000000000000000000000
χ1018-88-88i−8i−8i8i0000000000004-4004i−4i0000000000000000002-2200002-2-220000-22i−2i−2i2i00002i−2i−2i2i0000000000000000000000000000000000000000
χ1028-88-88i−8i−8i8i0000000000004-4004i−4i000000000000000000-11-1−i3i3i3−i3-111-1−i3i3i3−i31−iii−i3−3−33−iii−i3−3−33000000000000000000000000000000000000
χ1038-88-88i−8i−8i8i0000000000004-4004i−4i000000000000000000-11-1i3−i3−i3i3-111-1i3−i3−i3i31−iii−i−333−3−iii−i−333−3000000000000000000000000000000000000
χ1048-88-88i−8i−8i8i000000000000-4400−4i4i0000000000000000002-220000-222-20000-22i−2i−2i2i0000−2i2i2i−2i0000000000000000000000000000000000000000
χ1058-88-88i−8i−8i8i000000000000-4400−4i4i000000000000000000-11-1−i3i3i3−i31-1-11i3−i3−i3i31−iii−i3−3−33i−i−ii−333−3000000000000000000000000000000000000
χ1068-88-88i−8i−8i8i000000000000-4400−4i4i000000000000000000-11-1i3−i3−i3i31-1-11−i3i3i3−i31−iii−i−333−3i−i−ii3−3−33000000000000000000000000000000000000
χ1078-88-8−8i8i8i−8i0000000000004-400−4i4i0000000000000000002-2200002-2-220000-2−2i2i2i−2i0000−2i2i2i−2i0000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i0000000000004-400−4i4i000000000000000000-11-1−i3i3i3−i3-111-1−i3i3i3−i31i−i−ii−333−3i−i−ii−333−3000000000000000000000000000000000000
χ1098-88-8−8i8i8i−8i0000000000004-400−4i4i000000000000000000-11-1i3−i3−i3i3-111-1i3−i3−i3i31i−i−ii3−3−33i−i−ii3−3−33000000000000000000000000000000000000
χ1108-88-8−8i8i8i−8i000000000000-44004i−4i0000000000000000002-220000-222-20000-2−2i2i2i−2i00002i−2i−2i2i0000000000000000000000000000000000000000
χ1118-88-8−8i8i8i−8i000000000000-44004i−4i000000000000000000-11-1−i3i3i3−i31-1-11i3−i3−i3i31i−i−ii−333−3−iii−i3−3−33000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i000000000000-44004i−4i000000000000000000-11-1i3−i3−i3i31-1-11−i3i3i3−i31i−i−ii3−3−33−iii−i−333−3000000000000000000000000000000000000

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