Finite Group Databasebeta

← Group #11808822

Character table — Group #11808822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order12222222336666666666666634444446666666121212121212121212121212121212121212121212121212444444442244444444444444661212121212121212121212121212224444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-111
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111
χ17222222222-122-1-12-1-122-1-122-1-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002222002200002200-1-1-1-1-1-10000-1-10000000000
χ18222222222-122-1-12-1-122-1-122-1-1222222-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200-2-20000-2-2001111110000110000000000
χ19222222222-122-1-12-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-1111111110000000022-2-200220000-2-200-1-111110000-1-10000000000
χ20222222222-122-1-12-1-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-122-1-111-2-211-2-2-1-1-1-11111111100000000-2-22200-2-20000220011-1-1-1-10000110000000000
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χ2522222222-12-1-122-122-1-122-1-12-1222222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022220022000000-1-1-1-100-1-1-1-1000000
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χ2722222222-12-1-122-122-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111000000000000220022-2-200-2-200000011-1-10011-1-1000000
χ2822222222-12-1-122-122-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-211-2-211-1-1-1-111111111000000000000-2-200-2-2220022000000-1-11100-1-111000000
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χ974-4-4444-4-4-2-22-2-2-2222-2222-22-2100004i−4i-11-11-11-10000−2i2i0000−2i2i3i−3i−3i3i-333-3ii−i−i0000000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-22-2-2-2222-2222-22-2100004i−4i-11-11-11-10000−2i2i0000−2i2i−3i3i3i−3i3-3-33ii−i−i0000000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-22-2-2-2222-2222-22-210000−4i4i-11-11-11-100002i−2i00002i−2i3i−3i−3i3i3-3-33−i−iii0000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-22-2-2-2222-2222-22-210000−4i4i-11-11-11-100002i−2i00002i−2i−3i3i3i−3i-333-3−i−iii0000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-422-42-2-442-244-2-200000022-222-2-2000000000000000000000000000000000000000000004-4000000-220000000000000000
χ1024-4-4-44-4444-2-4-422-42-2-442-244-2-200000022-222-2-200000000000000000000000000000000000000000000-440000002-20000000000000000
χ1034-4-4-44-444-2422-4-42-442-2-44-2-24-200000022-222-2-200000000000000000000000000000000000000004-400000000000000000000-22000000
χ1044-4-4-44-444-2422-4-42-442-2-44-2-24-200000022-222-2-20000000000000000000000000000000000000000-44000000000000000000002-2000000
χ105888-88-8-8-8-4-4-4444-4-4444-44-44-420000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-44-44-4-4-4-444444-442000000-2-2-222-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-4-4-44-44444-4-4-444420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-4444444-44-44-4-4-4-42000000-2-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000

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