Finite Group Databasebeta

← Group #13161335

Character table — Group #13161335

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444446688888888888888888888888888888888888121212121212121212121212121212121224242424242424242436363636363636367272108108108108
order1222333334466666666666666633336666666666661212121212121212121222412121212121212121212121212121212121212121212121212121212121212121212466666666121212121212121241212121212121212228824242424662288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-111-1-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-22200000000000-2-2-2-2-2-2-2-20000000000000000-222222222-2-2-2-2-2-2-2-200000000000000000000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000002-2-2-2-2-2-2-2-22222222200000000000000000000000
χ1122222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000002222-1-1-1-1-1-10000
χ1222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-21111110000
χ1322222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000000000000022-2-21111-1-10000
χ1422222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-100-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000-2-222-1-1-1-1110000
χ1522222-1-1-12222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
χ1622222-1-1-12222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1222-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-211111100000000000000
χ1722222-1-1-12222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-2111111-2-2-211111100000000000000
χ1822222-1-1-12222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2111111-2-2111111222-1-1-1-1-1-100000000000000
χ1922222-1-1-12-2-22-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-22200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-222-1-1-1-1-1-1-2-2111111000−i3−i3−i3i3i3i300000000000000
χ2022222-1-1-12-2-22-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-22200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-222-1-1-1-1-1-1-2-2111111000i3i3i3−i3−i3−i300000000000000
χ2122222-1-1-12-2-22-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i32-2-211111122-1-1-1-1-1-1000i3i3i3−i3−i3−i300000000000000
χ2222222-1-1-12-2-22-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2111111-2-2-200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i32-2-211111122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000000000000
χ232222-12-1-1222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1222222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-100000000000000
χ242222-12-1-1222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1222-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-211112-1-122-1-1-1-1-1-122-1-1-1-1-211-211-21100000000000000
χ252222-12-1-1222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2111111-2-21111-211-211-21100000000000000
χ262222-12-1-1222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-2-2-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-21111-211-2-2111111-2-211112-1-12-1-12-1-100000000000000
χ272222-12-1-12-2-2-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-2-1-122-1-1-1-111-2-211110−i3i30−i3i30−i3i300000000000000
χ282222-12-1-12-2-2-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-222000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-2-1-122-1-1-1-111-2-211110i3−i30i3−i30i3−i300000000000000
χ292222-12-1-12-2-2-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-2000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3211-2-21111-1-122-1-1-1-10i3−i30i3−i30i3−i300000000000000
χ302222-12-1-12-2-2-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1-211-2-21111-2-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3211-2-21111-1-122-1-1-1-10−i3i30−i3i30−i3i300000000000000
χ312222-1-12-1222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1222222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-12-1-1-12-1-1-1200000000000000
χ322222-1-12-1222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1222-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-22-1-1-1-122-1-1-1-1-1-122-1-1-2111-2111-200000000000000
χ332222-1-12-1222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-21111-2-2111111-2-211-2111-2111-200000000000000
χ342222-1-12-1222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2-2-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-2-21111-2-2111111-2-2112-1-1-12-1-1-1200000000000000
χ352222-1-12-12-2-2-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-2-1-1-1-122-1-11111-2-2110−i3i3i30−i3−i3i3000000000000000
χ362222-1-12-12-2-2-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-222000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-2-1-1-1-122-1-11111-2-2110i3−i3−i30i3i3−i3000000000000000
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χ382222-1-12-12-2-2-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12-1-21111-2-211-2-2-2000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i30021111-2-211-1-1-1-122-1-10−i3i3i30−i3−i3i3000000000000000
χ392222-1-1-12222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122222222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-12-100000000000000
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χ432222-1-1-122-2-2-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-2-1-1-1-1-1-122111111-2-20−i3i3−i3i30i30−i300000000000000
χ442222-1-1-122-2-2-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-222000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-2-1-1-1-1-1-122111111-2-20i3−i3i3−i30−i30i300000000000000
χ452222-1-1-122-2-2-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2111111-2-2-2-2-2000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i32111111-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i300000000000000
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χ5944444444-2-4-44444-2-2-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-4-4-4-4-4-4-4-4200000000000002222222200000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).