Finite Group Databasebeta

← Group #11781794

Character table — Group #11781794

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222222224444444444444444488888888888888888888888888888888888888881616161616161616163636363672727272144
order122233334444666666666666412121212121212121212121212121212448812121212121212121212121212121212121212122424242424242424242424242424242441212121212121212888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ41111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ511111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11
χ811111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1
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χ10222222222-22-2222222222222-22222-2-2-2-2-2-2-2-22222-2200-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ1122222222-22-22222222222222-2-2-2-2-222222222-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000022-2-200000
χ1222222222-22-22222222222222-2-2-2-2-222222222-2-2-2-20000-2-2-2-200000000000000000000000000000000000000000-2-22200000
χ1322222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000000000000002i−2i0
χ1422222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000−2i2i0
χ1522222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2111111000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2222-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-1000000000
χ1922222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-21111112-1-1-12-200-211122-1-1-1-1-1-1-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i3000000000
χ2022222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-21111112-1-1-12-200-211122-1-1-1-1-1-1-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i3000000000
χ2122222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-21111112-1-1-1-2200-2111-2-211111122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i3000000000
χ2222222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-22-1-1-1-2-21111112-1-1-1-2200-2111-2-211111122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i3000000000
χ232222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-1000000000
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χ252222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-2-222-12-1-111-2-2111111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-211000000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-2-12-1-111-2-2111111-2-211111111-2-21111-2-211112-1-12-1-12-1-1000000000
χ272222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-21111-12-1-12-2001-211-1-122-1-1-1-111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i3000000000
χ282222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-21111-12-1-12-2001-211-1-122-1-1-1-111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i3000000000
χ292222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-21111-12-1-1-22001-21111-2-21111-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i3000000000
χ302222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-12-1-111-2-21111-12-1-1-22001-21111-2-21111-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i3000000000
χ312222-1-12-12222-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-12000000000
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χ352222-1-12-12-22-2-1-1-1-122-1-1-1-12-1-2-1-12-11111-2-211-1-12-12-20011-21-1-1-1-122-1-11111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i30000000000
χ362222-1-12-12-22-2-1-1-1-122-1-1-1-12-1-2-1-12-11111-2-211-1-12-12-20011-21-1-1-1-122-1-11111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i30000000000
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χ382222-1-12-12-22-2-1-1-1-122-1-1-1-12-1-2-1-12-11111-2-211-1-12-1-220011-211111-2-211-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i30000000000
χ392222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-1000000000
χ402222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1222-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12211111111-2-211-2-211-21111-21-21000000000
χ412222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-21000000000
χ422222-1-1-122222-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-12111111-2-2111111-2-211111111-2-211-2-2112-1-1-1-12-12-1000000000
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χ442222-1-1-122-22-2-1-1-1-1-1-122-1-1-12-2-1-1-12111111-2-2-1-1-122-200111-2-1-1-1-1-1-122111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i3000000000
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χ9688-8-88-4-4-400008-8-44-44-44-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-4-40000-448-8-44-444-844000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-40000-44-448-8-4444-84000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-480000-44-44-448-8444-8000000000000000000000000000000000000000000000000000000000000000000000000000

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