Finite Group Databasebeta

← Group #11780087

Character table — Group #11780087

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222222244444444444444444448888888888888888888888888888888888888881616161616161616163636363636367272727272
order1222333344446666666666664441212121212121212121212121212121226666666688121212121212121212121212242424242424242424242424242424244121212121212121222888844488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ6111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ9222222222-22-222222222222222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-200-2-2-2-222222222000000000000000000000000000000000000
χ10222222222-22-2222222222222-2-2-22222-2-2-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1122222222-22-2222222222222200-2-2-2-2-222222222-2-2-2-200000000000-2-2-2-2000000000000000000000000000000000220000-20000
χ1222222222-22-2222222222222200-2-2-2-2-222222222-2-2-2-200000000000-2-2-2-2000000000000000000000000000000000-2-2000020000
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
χ1522222-1-1-1222222-1-1-1-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000
χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-211111100000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111222-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-22-1-1-1-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-100000000000
χ1922222-1-1-12-22-222-1-1-1-1-1-12-1-1-122-22-1-1-1-2-21111112-1-1-1-2-2-211111100-211122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i300000000000
χ2022222-1-1-12-22-222-1-1-1-1-1-12-1-1-122-22-1-1-1-2-21111112-1-1-1-2-2-211111100-211122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i300000000000
χ2122222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-2-2-22-1-1-1-2-21111112-1-1-1222-1-1-1-1-1-100-2111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i300000000000
χ2222222-1-1-12-22-222-1-1-1-1-1-12-1-1-1-2-2-22-1-1-1-2-21111112-1-1-1222-1-1-1-1-1-100-2111-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i300000000000
χ232222-12-1-12222-1-122-1-1-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-100000000000
χ242222-12-1-12222-1-122-1-1-1-1-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-2-2-12-1-1-1-122-1-1-1-11111-2-21111-2-21111-211-211-21100000000000
χ252222-12-1-12222-1-122-1-1-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-1-12-1-1-211-2-2111122-12-1-111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-21100000000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-1-2-22-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-12-1-111-2-211111111-2-21111-2-211112-1-12-1-12-1-100000000000
χ272222-12-1-12-22-2-1-122-1-1-1-1-12-1-122-2-12-1-111-2-21111-12-1-1-211-2-21111001-211-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i300000000000
χ282222-12-1-12-22-2-1-122-1-1-1-1-12-1-122-2-12-1-111-2-21111-12-1-1-211-2-21111001-211-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i300000000000
χ292222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-2-2-12-1-111-2-21111-12-1-12-1-122-1-1-1-1001-21111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i300000000000
χ302222-12-1-12-22-2-1-122-1-1-1-1-12-1-1-2-2-2-12-1-111-2-21111-12-1-12-1-122-1-1-1-1001-21111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i300000000000
χ312222-1-12-12222-1-1-1-122-1-1-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1200000000000
χ322222-1-12-12222-1-1-1-122-1-1-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-2-2-1-12-1-1-1-1-122-1-1111111-2-2111111-2-2-2111-2111-200000000000
χ332222-1-12-12222-1-1-1-122-1-1-1-12-1-2-22-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-21122-1-12-11111-2-211-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-200000000000
χ342222-1-12-12222-1-1-1-122-1-1-1-12-1-2-22-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-1-12-11111-2-211111111-2-2111111-2-22-1-1-12-1-1-1200000000000
χ352222-1-12-12-22-2-1-1-1-122-1-1-1-12-122-2-1-12-11111-2-211-1-12-1-21111-2-2110011-21-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i3000000000000
χ362222-1-12-12-22-2-1-1-1-122-1-1-1-12-122-2-1-12-11111-2-211-1-12-1-21111-2-2110011-21-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i3000000000000
χ372222-1-12-12-22-2-1-1-1-122-1-1-1-12-1-2-2-2-1-12-11111-2-211-1-12-12-1-1-1-122-1-10011-211111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i3000000000000
χ382222-1-12-12-22-2-1-1-1-122-1-1-1-12-1-2-2-2-1-12-11111-2-211-1-12-12-1-1-1-122-1-10011-211111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i3000000000000
χ392222-1-1-122222-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-100000000000
χ402222-1-1-122222-1-1-1-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-2-2-1-1-12-1-1-1-1-1-12211111111-2-211-2-211-21111-21-2100000000000
χ412222-1-1-122222-1-1-1-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-222-1-1-12111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-2100000000000
χ422222-1-1-122222-1-1-1-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-1-1-12111111-2-211111111-2-211-2-2112-1-1-1-12-12-100000000000
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χ442222-1-1-122-22-2-1-1-1-1-1-122-1-1-1222-2-1-1-12111111-2-2-1-1-12-2111111-2-200111-2-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i300000000000
χ452222-1-1-122-22-2-1-1-1-1-1-122-1-1-12-2-2-2-1-1-12111111-2-2-1-1-122-1-1-1-1-1-12200111-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i300000000000
χ462222-1-1-122-22-2-1-1-1-1-1-122-1-1-12-2-2-2-1-1-12111111-2-2-1-1-122-1-1-1-1-1-12200111-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30−i3i3−i3i30i30−i300000000000
χ472-22-22222-20202-22-22-22-2-2-2-2-22i−2i0-2-2-2-20000000022220000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000022−2−2000−i2i2
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χ492-22-22222-20202-22-22-22-2-2-2-2-2−2i2i0-2-2-2-2000000002222000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000022−2−2000i2−i2
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χ934-4-44-2-24-20-4042222-4-422-2-24-20000000-22-224-4-22000000000000022−22000000000000−22−22−2222−22−22−22−2222−2200000000000000000000
χ944-4-44-2-24-20-4042222-4-422-2-24-20000000-22-224-4-220000000000000−22220000000000002−22−22−2−22222−22−22−2−222200000000000000000000
χ954-4-44-2-2-24040-4222222-4-4-2-2-2400000002-22-22-2-44000000000000000000000000000i6−i6−i6i6i6−i6−i6i600−i6i600i6−i600000000000000000000
χ964-4-44-2-2-24040-4222222-4-4-2-2-2400000002-22-22-2-44000000000000000000000000000−i6i6i6−i6−i6i6i6−i600i6−i600−i6i600000000000000000000
χ974-4-44-2-2-240-404222222-4-4-2-2-240000000-22-22-224-4000000000000022−22000000000000−22−22−22−2222−22−2222−22−2200000000000000000000
χ984-4-44-2-2-240-404222222-4-4-2-2-240000000-22-22-224-40000000000000−22220000000000002−22−22−22−2−22222−2−22222−200000000000000000000
χ9988-8-88-4-4-40000-884-44-44-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-400004-4-884-44-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-48-400004-44-4-884-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4800004-44-44-4-88444-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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