Finite Group Databasebeta

← Group #13177308

Character table — Group #13177308

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1
χ611111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-111
χ711111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-111
χ811111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-1111111-1-1
χ9111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11
χ10111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1
χ11111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111-1
χ12111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-11
χ13111111111-1-1-1-1111111111111111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-11-1
χ14111111111-1-1-1-1111111111111111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111-11
χ15111111111-1-1-1-1111111111111111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-111-11
χ16111111111-1-1-1-1111111111111111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-11-1
χ1722222222-122222222-1-122222222-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000022-1-1-1-1-1-1-1-1000000
χ1822222222-122222222-1-122222222-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000-2-211111111000000
χ1922222222-122-2-22222-1-122222222-1-1-1-1-1-2-1-1-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-1-1-1-122222222-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000022-2-200000000000000002-2-1-111-1-111000000
χ2022222222-122-2-22222-1-122222222-1-1-1-1-1-2-1-1-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-1-1-1-122222222-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-2220000000000000000-2211-1-111-1-1000000
χ2122222222-1-2-2222222-1-122222222-11111-2-1-1-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-2-2-2-2-2-2-222222222-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000000-2-2-1-1-1-11111000000
χ2222222222-1-2-2222222-1-122222222-11111-2-1-1-1-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-2-2-2-2-2-2-222222222-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000221111-1-1-1-1000000
χ2322222222-1-2-2-2-22222-1-122222222-111112-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111000022-2-20000000000000000-22-1-11111-1-1000000
χ2422222222-1-2-2-2-22222-1-122222222-111112-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111110000-2-22200000000000000002-211-1-1-1-111000000
χ2522222-1-1-1222222-1-1-1222-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-12-1-1-12-1-1-12-1-1-10000000000000000
χ2622222-1-1-1222222-1-1-1222-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2111-2111-2111-21110000000000000000
χ2722222-1-1-1222-2-22-1-1-1222-1-1-12-1-1-122222-22-1-1-1-2-2111111-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-1-1-1-1-1-1-2-2111111-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-22-200002-1-1-1-21112-1-1-1-21110000000000000000
χ2822222-1-1-1222-2-22-1-1-1222-1-1-12-1-1-122222-22-1-1-1-2-2111111-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-122-1-1-1-1-1-1-2-2111111-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-220000-21112-1-1-1-21112-1-1-10000000000000000
χ2922222-1-1-12-2-2222-1-1-1222-1-1-12-1-1-12-2-2-2-2-22-1-1-1-2-2111111-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-211111122-1-1-1-1-1-122-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200002-1-1-12-1-1-1-2111-21110000000000000000
χ3022222-1-1-12-2-2222-1-1-1222-1-1-12-1-1-12-2-2-2-2-22-1-1-1-2-2111111-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-211111122-1-1-1-1-1-122-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000-2111-21112-1-1-12-1-1-10000000000000000
χ3122222-1-1-12-2-2-2-22-1-1-1222-1-1-12-1-1-12-2-2-2-222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111-2-2-2-21111111111112-2-2200002-1-1-1-2111-21112-1-1-10000000000000000
χ3222222-1-1-12-2-2-2-22-1-1-1222-1-1-12-1-1-12-2-2-2-222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111-2-2-2-2111111111111-222-20000-21112-1-1-12-1-1-1-21110000000000000000
χ332222-12-1-122222-12-1-122-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-12-1-1-12-1-1-12-1-1-12-1-10000000000000000
χ342222-12-1-122222-12-1-122-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001-2111-2111-2111-2110000000000000000
χ352222-12-1-1222-2-2-12-1-122-12-1-1-12-1-122222-2-12-1-111-2-21111-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-1-122-1-1-1-111-2-21111-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112-22-20000-12-1-11-211-12-1-11-2110000000000000000
χ362222-12-1-1222-2-2-12-1-122-12-1-1-12-1-122222-2-12-1-111-2-21111-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-1-122-1-1-1-111-2-21111-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-22-2200001-211-12-1-11-211-12-1-10000000000000000
χ372222-12-1-12-2-222-12-1-122-12-1-1-12-1-12-2-2-2-2-2-12-1-111-2-21111-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-111-2-21111-1-122-1-1-1-1221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-20000-12-1-1-12-1-11-2111-2110000000000000000
χ382222-12-1-12-2-222-12-1-122-12-1-1-12-1-12-2-2-2-2-2-12-1-111-2-21111-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-111-2-21111-1-122-1-1-1-1221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-22200001-2111-211-12-1-1-12-1-10000000000000000
χ392222-12-1-12-2-2-2-2-12-1-122-12-1-1-12-1-12-2-2-2-22-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111111111-2-2-2-2111111112-2-220000-12-1-11-2111-211-12-1-10000000000000000
χ402222-12-1-12-2-2-2-2-12-1-122-12-1-1-12-1-12-2-2-2-22-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111111111-2-2-2-211111111-222-200001-211-12-1-1-12-1-11-2110000000000000000
χ412222-1-12-122222-1-12-122-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-12-1-1-12-1-1-12-1-1-12-10000000000000000
χ422222-1-12-122222-1-12-122-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2000011-2111-2111-2111-210000000000000000
χ432222-1-12-1222-2-2-1-12-122-1-12-1-1-12-122222-2-1-12-11111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-1-1-122-1-11111-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112-22-20000-1-12-111-21-1-12-111-210000000000000000
χ442222-1-12-1222-2-2-1-12-122-1-12-1-1-12-122222-2-1-12-11111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-1-1-122-1-11111-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-22-22000011-21-1-12-111-21-1-12-10000000000000000
χ452222-1-12-12-2-222-1-12-122-1-12-1-1-12-12-2-2-2-2-2-1-12-11111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-11111-2-211-1-1-1-122-1-12211111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-122-2-20000-1-12-1-1-12-111-2111-210000000000000000
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χ1554-4-44-2-24-2400-4422-42-4-4-2-24-222-42400000-2-24-200000000002222-4-4220000000000000000-2-24-2000000002-22-2-442-2-44000000000000000022-2-222-2-2-4-44422-2-20000000000000000000000000000000000000000
χ1564-4-44-2-24-2-2004-422-4222-2-24-222-42-2−2i32i3−2i32i3011-2100000000−2i32i3-1-1-1-122-1-1i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i311-2100000000-22-224-4-22-22i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i311-1-111-1-1-2-22211-1-10000000000000000000000000000000000000000
χ1574-4-44-2-24-2-2004-422-4222-2-24-222-42-22i3−2i32i3−2i3011-21000000002i3−2i3-1-1-1-122-1-1−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i311-2100000000-22-224-4-22-22−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i311-1-111-1-1-2-22211-1-10000000000000000000000000000000000000000
χ1584-4-44-2-24-2-200-4422-4222-2-24-222-42-2−2i32i3−2i32i3011-21000000002i3−2i3-1-1-1-122-1-1−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3−i3−i3i3i311-21000000002-22-2-442-22-2i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3-1-111-1-11122-2-2-1-1110000000000000000000000000000000000000000
χ1594-4-44-2-24-2-200-4422-4222-2-24-222-42-22i3−2i32i3−2i3011-2100000000−2i32i3-1-1-1-122-1-1i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3i3i3−i3−i311-21000000002-22-2-442-22-2−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3-1-111-1-11122-2-2-1-1110000000000000000000000000000000000000000
χ1604-4-44-2-2-244004-4222-4-4-4-2-2-24222-4400000-2-2-240000000000222222-4-40000000000000000-2-2-2400000000-22-22-224-44-40000000000000000-2-222-2-222-2-22244-4-40000000000000000000000000000000000000000
χ1614-4-44-2-2-24400-44222-4-4-4-2-2-24222-4400000-2-2-240000000000222222-4-40000000000000000-2-2-24000000002-22-22-2-44-44000000000000000022-2-222-2-222-2-2-4-4440000000000000000000000000000000000000000
χ1624-4-44-2-2-24-2004-4222-422-2-2-24222-4-2−2i32i3−2i32i30111-200000000−2i32i3-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3111-200000000-22-22-224-4-22i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i311-1-111-1-111-1-1-2-2220000000000000000000000000000000000000000
χ1634-4-44-2-2-24-2004-4222-422-2-2-24222-4-22i3−2i32i3−2i30111-2000000002i3−2i3-1-1-1-1-1-122−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3111-200000000-22-22-224-4-22−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i311-1-111-1-111-1-1-2-2220000000000000000000000000000000000000000
χ1644-4-44-2-2-24-200-44222-422-2-2-24222-4-2−2i32i3−2i32i30111-2000000002i3−2i3-1-1-1-1-1-122−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i32i3−2i3−2i3111-2000000002-22-22-2-442-2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3-1-111-1-111-1-11122-2-20000000000000000000000000000000000000000
χ1654-4-44-2-2-24-200-44222-422-2-2-24222-4-22i3−2i32i3−2i30111-200000000−2i32i3-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i3−2i32i32i3111-2000000002-22-22-2-442-2−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3-1-111-1-111-1-11122-2-20000000000000000000000000000000000000000

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