Finite Group Databasebeta

← Group #13160334

Character table — Group #13160334

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size11112222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444242424242424242424242424242424242424363636363636363636363636108108108108
order1222333334444666666666666666121212122333366666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121224666666661212121212121212444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ922222222222-2-22222222222222222222-22222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000
χ10222222222-2-2-2-2222222222222222-2-2-2-22222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ11222222-1-1-122222-1-1-122-1-1-12-1-1-122222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ12222222-1-1-122222-1-1-122-1-1-12-1-1-122222222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000000000
χ13222222-1-1-122-2-22-1-1-122-1-1-12-1-1-1222222-22-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000000000
χ14222222-1-1-122-2-22-1-1-122-1-1-12-1-1-1222222-22-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000000000
χ15222222-1-1-1-2-2222-1-1-122-1-1-12-1-1-122-2-2-2-2-22-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12222-1-1-1-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-21111110000000000000000
χ16222222-1-1-1-2-2222-1-1-122-1-1-12-1-1-122-2-2-2-2-22-1-1-1-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12222-1-1-1-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-10000000000000000
χ17222222-1-1-1-2-2-2-22-1-1-122-1-1-12-1-1-122-2-2-2-222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-21111111111110000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000000000000000
χ18222222-1-1-1-2-2-2-22-1-1-122-1-1-12-1-1-122-2-2-2-222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-21111111111110000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000000000000000
χ1922222-12-1-12222-12-1-12-12-1-1-12-1-12222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000000000
χ2022222-12-1-12222-12-1-12-12-1-1-12-1-12222222-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-211-21111-211-2110000000000000000
χ2122222-12-1-122-2-2-12-1-12-12-1-1-12-1-1222222-2-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000000000
χ2222222-12-1-122-2-2-12-1-12-12-1-1-12-1-1222222-2-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000000000
χ2322222-12-1-1-2-222-12-1-12-12-1-1-12-1-122-2-2-2-2-2-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-12-1-122-1-122-1-1-1-111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112-2-1-12-1-12-1-111-211-2110000000000000000
χ2422222-12-1-1-2-222-12-1-12-12-1-1-12-1-122-2-2-2-2-2-12-1-1-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-12-1-122-1-122-1-1-1-111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2211-211-211-1-12-1-12-1-10000000000000000
χ2522222-12-1-1-2-2-2-2-12-1-12-12-1-1-12-1-122-2-2-2-22-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-211-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-21111111100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000000000000000
χ2622222-12-1-1-2-2-2-2-12-1-12-12-1-1-12-1-122-2-2-2-22-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-2-211-2-2111111-2-211111111-2-2-2-2111111111111-2-2-2-21111111100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000000000000000
χ2722222-1-12-12222-1-12-12-1-12-1-1-12-12222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ2822222-1-12-12222-1-12-12-1-12-1-1-12-12222222-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2111-2111-2111-2111-20000000000000000
χ2922222-1-12-122-2-2-1-12-12-1-12-1-1-12-1222222-2-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000000000
χ3022222-1-12-122-2-2-1-12-12-1-12-1-1-12-1222222-2-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000000000
χ3122222-1-12-1-2-222-1-12-12-1-12-1-1-12-122-2-2-2-2-2-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-12-122-1-1-1-122-1-11111-2-211-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112-2-1-1-12-1-1-12111-2111-20000000000000000
χ3222222-1-12-1-2-222-1-12-12-1-12-1-1-12-122-2-2-2-2-2-1-12-1-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-12-122-1-1-1-122-1-11111-2-211-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-22111-2111-2-1-1-12-1-1-120000000000000000
χ3322222-1-12-1-2-2-2-2-1-12-12-1-12-1-1-12-122-2-2-2-22-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-21111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-2111100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000000000000000
χ3422222-1-12-1-2-2-2-2-1-12-12-1-12-1-1-12-122-2-2-2-22-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-2-21111-2-2111111-2-21111111111-2-2-2-2111111111111-2-2-2-2111100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000000000
χ3522222-1-1-122222-1-1-122-1-1-12-1-1-122222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-10000000000000000
χ3622222-1-1-122222-1-1-122-1-1-12-1-1-122222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-21-211111-21-210000000000000000
χ3722222-1-1-1222-2-2-1-1-122-1-1-12-1-1-12222222-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000
χ3822222-1-1-1222-2-2-1-1-122-1-1-12-1-1-12222222-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000000000
χ3922222-1-1-12-2-222-1-1-122-1-1-12-1-1-1222-2-2-2-2-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22-2-1-1-1-12-12-11111-21-210000000000000000
χ4022222-1-1-12-2-222-1-1-122-1-1-12-1-1-1222-2-2-2-2-2-1-1-12-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1222-1-1-1-1-1-122111111-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-221111-21-21-1-1-1-12-12-10000000000000000
χ4122222-1-1-12-2-2-2-2-1-1-122-1-1-12-1-1-1222-2-2-2-22-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000000000000000
χ4222222-1-1-12-2-2-2-2-1-1-122-1-1-12-1-1-1222-2-2-2-22-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-2-2111111-2-2111111-2-2111111111111-2-2-2-2111111111111-2-2-2-200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i30000000000000000
χ432222-1222222222222-122222222-1-1-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ442222-1222222222222-122222222-1-1-1-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ452222-1222222-2-22222-122222222-1-1-1-1-1-1-2-1-1-1-111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3−i3i3i3−i3−i3i3i30000
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χ1554-4-44-2-2-24-2000022-42222-42-2-24-22-2−232323−23011-21002i3−2i3−2i32i3002i3−2i3-11-112-2-11−i3i3i3−i3i3−i3−i3i30000−i3i3i3−i3-1-12-1000000000000000000−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i3−3−333−3−33−232323−233−3−330000000000000000000000000000000000
χ1564-4-44-2-2-2-240000222-42222-4-2-2-242-223−23−23230111-200−2i32i3−2i32i32i3−2i300-11-11-112-2i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000-1-1-12000000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−333−3−333−3−333−323−23−23230000000000000000000000000000000000
χ1574-4-44-2-2-2-240000222-42222-4-2-2-242-223−23−23230111-2002i3−2i32i3−2i3−2i32i300-11-11-112-2−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000-1-1-120000000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000−333−3−333−3−333−323−23−23230000000000000000000000000000000000
χ1584-4-44-2-2-2-240000222-42222-4-2-2-242-2−232323−230111-200−2i32i3−2i32i32i3−2i300-11-11-112-2i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000-1-1-120000000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00003−3−333−3−333−3−33−232323−230000000000000000000000000000000000
χ1594-4-44-2-2-2-240000222-42222-4-2-2-242-2−232323−230111-2002i3−2i32i3−2i3−2i32i300-11-11-112-2−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000-1-1-12000000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00003−3−333−3−333−3−33−232323−230000000000000000000000000000000000

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