Finite Group Databasebeta

← Group #11867819

Character table — Group #11867819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121288888824242424242424244444121212121212121224242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-11111111-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-11-1
χ101111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-11111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-11-11-11
χ111111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-1111111-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-1-111-1-11111-1-11-11-1-11
χ121111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-1111111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111-11-111-1
χ131111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-11-11-11
χ141111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-111-1-1111-11-11-1
χ151111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-11-111-1
χ161111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-1111-1-11-1-111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111-11-111-1-111-1-1-1-1111-11-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2000000000000000000000000000000000000002-2-2200
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χ25222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001111111100-2-2000011110000000000
χ26222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-2-2-2-2-1-1-1-111111111-2-200001111111100220000-1-1-1-10000000000
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χ452-2-222-2-1222-2-21-1-11121-2-2-1-12-21-1-111-1122-2-1-11-212i2i−2i−2i003−33−30000-11-113−33−33−33−32i−2i0000−i−iii−i−iii00000000−i3i3−i3i30000000000
χ462-2-222-2-1222-2-21-1-11121-2-2-1-12-21-1-111-1122-2-1-11-212i2i−2i−2i00−33−330000-11-11−33−33−33−332i−2i0000−i−iii−i−iii00000000i3−i3i3−i30000000000
χ472-2-222-2-1222-2-21-1-11121-2-2-1-12-21-1-111-1122-2-1-11-21−2i−2i2i2i003−33−30000-11-113−33−33−33−3−2i2i0000ii−i−iii−i−i00000000i3−i3i3−i30000000000
χ482-2-222-2-1222-2-21-1-11121-2-2-1-12-21-1-111-1122-2-1-11-21−2i−2i2i2i00−33−330000-11-11−33−33−33−33−2i2i0000ii−i−iii−i−i00000000−i3i3−i3i30000000000
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χ9988-8-800-4-40000-44i3−4i34i3−4i344-4442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-80000484-4-8-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004−4i34i34i3−4i34-44-44200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044i3−4i3−4i34i34-44-44200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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