Finite Group Databasebeta

← Group #11808929

Character table — Group #11808929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order1222222233666666666666663444444666666612121212121212121212121212121212121212121212121244444444444444444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1111111-1-111
χ8111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111
χ17222222222-122-1-122-1-12-12-12-1-1222222-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000002200002222002200-1-100-1-10000-1-1-1-1000000
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χ984-4-4444-4-4-2-2-22-222-22-22222-2-21004i−4i0011-1-1-1-1100−2i2i000000−2i2i−3i3i3i−3iii−i−i3-3-330000000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-2-22-222-22-22222-2-2100−4i4i0011-1-1-1-11002i−2i0000002i−2i3i−3i−3i3i−i−iii3-3-330000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-2-22-222-22-22222-2-2100−4i4i0011-1-1-1-11002i−2i0000002i−2i−3i3i3i−3i−i−iii-333-30000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-2-44-2-2-4-4224-2-4242-2000000-22-2-222200000000000000000000000000000000000000000000004-400-22000000000000000000
χ1024-4-44-4-4444-2-44-2-2-4-4224-2-4242-2000000-22-2-22220000000000000000000000000000000000000000000000-44002-2000000000000000000
χ1034-4-44-4-444-242-24422-4-4-242-4-2-4-2000000-22-2-2222000000000000000000000000000000004i−4i000000000000000000−2i2i0000000000000000
χ1044-4-44-4-444-242-24422-4-4-242-4-2-4-2000000-22-2-222200000000000000000000000000000000−4i4i0000000000000000002i−2i0000000000000000
χ1058888-8-8-8-8-4-444-44-44-4444-4-4-4420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4444-4-4-44-4-444-4442000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-888-8-4-44-4444-4-4-44-4-44442000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-44-4-4-44444-4-444-4420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000

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