Finite Group Databasebeta

← Group #11810342

Character table — Group #11810342

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666666662222466666612121212121212121212121212121212222244444466666666444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1111
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-1111
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-11111-1
χ17222222222-122-1-1-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000002-1-1-1-10000000000000
χ18222222222-122-1-1-1-122-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111111100000-211110000000000000
χ19222222222-122-1-1-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-1-2-211-2-2111111111122-2-2000000-1-1-1-1-1-1-1-100000-211110000000000000
χ20222222222-122-1-1-1-122-1-122-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-1-2-211-2-21111111111-2-22200000011111111000002-1-1-1-10000000000000
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χ24222222222-122-1-1-1-122-1-122-12-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-21111-2-21122-1-11111-1-1-1-122220000001111-1-1-1-100000-2-1-1110000000000000
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χ2822222222-12-1-12222-1-122-1-12-122-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-22200000000000020000011-1-111-1-100000
χ2922222222-12-1-12222-1-122-1-12-1-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-2111111-1-12211-2-2-1-1-1-11111000022-2-2-2-2000000000000200000-1-1-1-1111100000
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χ964-4-44-4-444-2-2222-2-222222-2-2-2-24-4100-22-22-111-11-1-100000-221-11-1000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000
χ974-4-44-4-444-2-2222-2-222222-2-2-2-24-4100-22-22-111-11-1-100000-221-11-100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000
χ984-4-44-4-444-2-2222-2-222222-2-2-2-2-441002-22-2-111-11-1-1000002-2-11-11000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-44-4-444-2-2222-2-222222-2-2-2-2-441002-22-2-111-11-1-1000002-2-11-1100000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000
χ1004-4-4-4444-444-44-44-44-44-444-4-4-4004000000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-2-442-22-2-442-24-42-400-20000002-22-222-200000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ1024-4-4-4444-44-2-442-22-2-442-24-42-400-20000002-22-222-2000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ1034-4-4-4444-4-242-2-44-442-2-44-22-4200-20000002-22-222-200000000000000000000000000000000000000000000000000000000023−23000000000
χ1044-4-4-4444-4-242-2-44-442-2-44-22-4200-20000002-22-222-2000000000000000000000000000000000000000000000000000000000−2323000000000
χ105888-8-8-88-8-4-4-44-4-444-44-44-444400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4-44-44-444-44-44-4440020000002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-4-4-44-444-444002000000-2-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44-44-44-44-44-4-4444002000000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000

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