Finite Group Databasebeta

← Group #11813001

Character table — Group #11813001

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666612121212222226666666666666666121212121212444444444466661212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1111
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1
χ17222222222-1222-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222000000-1-1-1-1-1-1-1-100000200000000-1-1-1-100000
χ18222222222-1222-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20000001111111100000-200000000111100000
χ19222222222-1222-1-1-1-1-12222-1-122-1-2-2-1-1-1-1-1-1-111112222-222-2-2-1-111-1-1-1-11111-2-2111122-2-2000000-1-1-1-1111100000-200000000-1-11100000
χ20222222222-1222-1-1-1-1-12222-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-2-2-1-111-1-1-1-11111-2-21111-2-2220000001111-1-1-1-10000020000000011-1-100000
χ21222222222-1222-1-1-1-1-12222-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-211111111111122-1-1-1-1-2-222000000-1-1-1-1-1-1-1-100000-200000000111100000
χ22222222222-1222-1-1-1-1-12222-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-211111111111122-1-1-1-122-2-20000001111111100000200000000-1-1-1-100000
χ23222222222-1222-1-1-1-1-12222-1-1-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-22211-1-11111-1-1-1-1-2-21111-2-2-2-2000000-1-1-1-111110000020000000011-1-100000
χ24222222222-1222-1-1-1-1-12222-1-1-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-22211-1-11111-1-1-1-1-2-2111122220000001111-1-1-1-100000-200000000-1-11100000
χ2522222222-12-1-1-122222-1-1-1-12222-122-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222200000000000020-1-1-1-1-1-1-1-1000000000
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χ2822222222-12-1-1-122222-1-1-1-12222-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-11122-2-2-1-1-1-111111111110000-2-222-2-20000000000002011-1-1-1-111000000000
χ2922222222-12-1-1-122222-1-1-1-122-2-2-122-1-1-1-1-1-1-122220000-21111-2-2-2-211111111-1-1-1-1-1-1000022-2-2-2-20000000000002011-1-111-1-1000000000
χ3022222222-12-1-1-122222-1-1-1-122-2-2-122-1-1-1-1-1-1-122220000-21111-2-2-2-211111111-1-1-1-1-1-10000-2-22222000000000000-20-1-111-1-111000000000
χ3122222222-12-1-1-122222-1-1-1-122-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-1-2-2221111-1-1-1-111111100002222-2-2000000000000-201111-1-1-1-1000000000
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χ36222-22-2-2-2222-2-222-2-2-22-2-222-2002-2222-2-2-2-22-2-222000000000000000000000-22-2-222000000000000000000−2i−2i2i2i000000000000002i−2i000
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χ4322-2-2-22-22222-222-2-222-2-22-2-2-2002002-2-2-222-2000000000000000000000000000000000−2i2i002i−2i000000−2i−2i2i2i-222-20000002i−2i00000000000
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χ452-222-22-2-222-222-22-22-22-2-2-2-2200200-222-22-2-200002-22-20000000000000000000000000002i−2i00002-22-200000000000000002i−2i0000002i−2i0
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χ532-2-222-2-222-1-22-21111-1-2-222-1-12-2-10011-111-1-1−i3i3−i3i32-2-2202-200-11−i3i3-1-111−i3−i3i3i300−i3i3−i3i32-200000000-111-1−i3i3−i3i300000000000000-11−i3i300000
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χ974-4-4-4444-44-2-4-4422-2-22-44-44-2200-200222-2-22-2−2i32i32i3−2i300000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ984-4-4-4444-44-2-4-4422-2-22-44-44-2200-200222-2-22-22i3−2i3−2i32i3000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ994-4-4-4444-4-2422-2-4-444-42-22-24-400-200222-2-22-200000000000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-2422-2-4-444-42-22-24-400-200222-2-22-2000000000002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-222-222-2-222-22-2-2200100-1-1-111-11−2i32i32i3−2i30000000−2i32i30000-333-3i3−i3−i3i300i3−i3−i3i300000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-222-222-2-222-22-2-2200100-1-1-111-11−2i32i32i3−2i300000002i3−2i300003-3-33−i3i3i3−i300i3−i3−i3i300000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-222-222-2-222-22-2-2200100-1-1-111-112i3−2i3−2i32i30000000−2i32i300003-3-33i3−i3−i3i300−i3i3i3−i300000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-222-222-2-222-22-2-2200100-1-1-111-112i3−2i3−2i32i300000002i3−2i30000-333-3−i3i3i3−i300−i3i3i3−i300000000000000000000000000000000000000000
χ10588-88-8-88-8-4-4-4-44-44-4444-4444-4002002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-44-4-444-4-444-4444002002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-44-4-44-44-44-44444-400200-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-44444-4-44-4-4-4-444400200-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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