Finite Group Databasebeta

← Group #11808898

Character table — Group #11808898

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order12222222336666666666666634444446666666121212121212121212121212121212121212121212121212444444442244444444444444661212121212121212121212121212444444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
χ8111111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111
χ91111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111
χ121111111111111111111111111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-11111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1
χ17222222222-122-1-12-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222000022220000-1-1-1-1-1-10000-1-10000000000
χ18222222222-122-1-12-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-200001111110000110000000000
χ19222222222-122-1-12-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2112211-2-2-1-1-1-1111111110000000022220000-2-2-2-20000-1-111110000-1-10000000000
χ20222222222-122-1-12-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2112211-2-2-1-1-1-11111111100000000-2-2-2-200002222000011-1-1-1-10000110000000000
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χ2822222222-12-1-122-122-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-12211-2-2-1-1-2-211-1-1-1-111111111000000000000-2-2-2-200002222000000-1-1-1-1001111000000
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χ974-4-444-4-44-2-2-222-222-22-2-222-2214i−4i00001-1-11-1-11−2i2i0000−2i2i0000ii−i−i3i−3i−3i3i-333-30000000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-222-222-22-2-222-2214i−4i00001-1-11-1-11−2i2i0000−2i2i0000ii−i−i−3i3i3i−3i3-3-330000000000000000000000000000000000000000000000
χ994-4-444-4-44-2-2-222-222-22-2-222-221−4i4i00001-1-11-1-112i−2i00002i−2i0000−i−iii3i−3i−3i3i3-3-330000000000000000000000000000000000000000000000
χ1004-4-444-4-44-2-2-222-222-22-2-222-221−4i4i00001-1-11-1-112i−2i00002i−2i0000−i−iii−3i3i3i−3i-333-30000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-244-22-4224-4-2-2-4-42-2000000-2-2-2222200000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000
χ1024-4-4-4444-44-244-22-4224-4-2-2-4-42-2000000-2-2-222220000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000000000
χ1034-4-4-4444-4-24-2-24-42-4-4-224422-4-2000000-2-2-2222200000000000000000000000000000000000000000000004-400000000-22000000000000
χ1044-4-4-4444-4-24-2-24-42-4-4-224422-4-2000000-2-2-222220000000000000000000000000000000000000000000000-44000000002-2000000000000
χ105888-88-8-8-8-4-4-4444-4-4444-44-44-420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-44-444-44-4444-44-4-42000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-444-444-4-4-4444-4-442000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-4-4-4-44444-44-4-44442000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000

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