Finite Group Databasebeta

← Group #11779562

Character table — Group #11779562

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222222244444444444444444448888888888888888888888888888888888888881616161616161616163636363636367272727272
order122233334444666666666666444121212121212121212121212121212124881212121212121212121212121212121212121212242424242424242424242424242424244121212121212121244888844488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ6111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-111
χ8111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-111-1-1
χ9222222222-2-2222222222222200-222222222-2-2-2-2-2-2-2-200000000000-2-2-2-2000000000000000000000000000000000220000-20000
χ10222222222-2-2222222222222200-222222222-2-2-2-2-2-2-2-200000000000-2-2-2-2000000000000000000000000000000000-2-2000020000
χ1122222222-222-222222222222222-2-2-2-2-2-2-2-2-222222222-200-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ1222222222-222-2222222222222-2-2-2-2-2-2-2-2-2-2-22222222220022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1322222222-2-2-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000222200000000000000000000000000000000000000002-200
χ1422222222-2-2-2-2222222222222002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000022220000000000000000000000000000000000000000-2200
χ1522222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000
χ1622222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-211111100000000000
χ1722222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2222-1-1-1-1-1-12-1-1-12-1-1-1-222-2-21111112-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000
χ1822222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2222-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2-21111112-1-1-1-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-100000000000
χ1922222-1-1-1-222-22-1-1-12-1-1-12-1-1-122-2-2-21111112-1-1-12-1-1-1-200-2-2111111-211122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i300000000000
χ2022222-1-1-1-222-22-1-1-12-1-1-12-1-1-122-2-2-21111112-1-1-12-1-1-1-200-2-2111111-211122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i300000000000
χ2122222-1-1-1-222-22-1-1-12-1-1-12-1-1-1-2-2-2-2-21111112-1-1-12-1-1-120022-1-1-1-1-1-1-2111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i300000000000
χ2222222-1-1-1-222-22-1-1-12-1-1-12-1-1-1-2-2-2-2-21111112-1-1-12-1-1-120022-1-1-1-1-1-1-2111-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i300000000000
χ232222-12-1-12222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-100000000000
χ242222-12-1-12222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-12-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-11111-2-21111-2-21111-211-211-21100000000000
χ252222-12-1-12222-12-1-1-12-1-1-12-1-1-2-22-1-122-1-1-1-1-12-1-1-12-1-1-22211-2-21111-12-1-111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-21100000000000
χ262222-12-1-12222-12-1-1-12-1-1-12-1-1-2-22-1-122-1-1-1-1-12-1-1-12-1-1-2-2-211-2-21111-12-1-111-2-211111111-2-21111-2-211112-1-12-1-12-1-100000000000
χ272222-12-1-1-222-2-12-1-1-12-1-1-12-1-122-211-2-21111-12-1-1-12-1-1-20011-2-211111-211-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i300000000000
χ282222-12-1-1-222-2-12-1-1-12-1-1-12-1-122-211-2-21111-12-1-1-12-1-1-20011-2-211111-211-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i300000000000
χ292222-12-1-1-222-2-12-1-1-12-1-1-12-1-1-2-2-211-2-21111-12-1-1-12-1-1200-1-122-1-1-1-11-21111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i300000000000
χ302222-12-1-1-222-2-12-1-1-12-1-1-12-1-1-2-2-211-2-21111-12-1-1-12-1-1200-1-122-1-1-1-11-21111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i300000000000
χ312222-1-12-12222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1200000000000
χ322222-1-12-12222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-12-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1111111-2-2111111-2-2-2111-2111-200000000000
χ332222-1-12-12222-1-12-1-1-12-1-1-12-1-2-22-1-1-1-122-1-1-1-12-1-1-12-1-2221111-2-211-1-12-11111-2-211-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-200000000000
χ342222-1-12-12222-1-12-1-1-12-1-1-12-1-2-22-1-1-1-122-1-1-1-12-1-1-12-1-2-2-21111-2-211-1-12-11111-2-211111111-2-2111111-2-22-1-1-12-1-1-1200000000000
χ352222-1-12-1-222-2-1-12-1-1-12-1-1-12-122-21111-2-211-1-12-1-1-12-1-2001111-2-21111-21-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i3000000000000
χ362222-1-12-1-222-2-1-12-1-1-12-1-1-12-122-21111-2-211-1-12-1-1-12-1-2001111-2-21111-21-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i3000000000000
χ372222-1-12-1-222-2-1-12-1-1-12-1-1-12-1-2-2-21111-2-211-1-12-1-1-12-1200-1-1-1-122-1-111-211111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i3000000000000
χ382222-1-12-1-222-2-1-12-1-1-12-1-1-12-1-2-2-21111-2-211-1-12-1-1-12-1200-1-1-1-122-1-111-211111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i3000000000000
χ392222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-100000000000
χ402222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-122-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12211111111-2-211-2-211-21111-21-2100000000000
χ412222-1-1-122222-1-1-12-1-1-12-1-1-12-2-22-1-1-1-1-1-122-1-1-12-1-1-12-222111111-2-2-1-1-12111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-2100000000000
χ422222-1-1-122222-1-1-12-1-1-12-1-1-12-2-22-1-1-1-1-1-122-1-1-12-1-1-12-2-2-2111111-2-2-1-1-12111111-2-211111111-2-211-2-2112-1-1-1-12-12-100000000000
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χ442222-1-1-12-222-2-1-1-12-1-1-12-1-1-1222-2111111-2-2-1-1-12-1-1-12-200111111-2-2111-2-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i300000000000
χ452222-1-1-12-222-2-1-1-12-1-1-12-1-1-12-2-2-2111111-2-2-1-1-12-1-1-12200-1-1-1-1-1-122111-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i300000000000
χ462222-1-1-12-222-2-1-1-12-1-1-12-1-1-12-2-2-2111111-2-2-1-1-12-1-1-12200-1-1-1-1-1-122111-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30−i3i3−i3i30i30−i300000000000
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χ924-4-44-2-24-204-4022-42-2-24-222-4200000000000-2-24-222-420002i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000
χ934-4-44-2-24-20-44022-42-2-24-222-424i−4i00000000022-42-2-24-2000000000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000000
χ944-4-44-2-24-20-44022-42-2-24-222-42−4i4i00000000022-42-2-24-20000000000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000
χ954-4-44-2-2-2404-40222-4-2-2-24222-400000000000-2-2-24222-4000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ964-4-44-2-2-2404-40222-4-2-2-24222-400000000000-2-2-24222-40002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ974-4-44-2-2-240-440222-4-2-2-24222-44i−4i000000000222-4-2-2-24000000000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000000
χ984-4-44-2-2-240-440222-4-2-2-24222-4−4i4i000000000222-4-2-2-240000000000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000000
χ998-88-88-4-4-40000-8444-84448-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-4-400004-8444-844-48-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48-4000044-8444-84-4-48-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-480000444-8444-8-4-4-48000000000000000000000000000000000000000000000000000000000000000000000000000000

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