Finite Group Databasebeta

← Group #13177413

Character table — Group #13177413

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222444444444444444444444444441818181836362222444444444444444444888888888888888888888888883636363672723333666666666666666666121212121212121212121212121212121212121212121212121254545454108108
order12223333446666666666662266666666666666661212121212121212444444366633331212666666666666666666666666666666121212121212121212121212121222226666446666666666662266666666666666661212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ511111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1
χ611111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ711111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11
χ811111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1
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χ1022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2111111-2-211111122-1-1-1-1-1-1000000
χ1122222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-222-1-1-1-1-1-1-2-2111111-2-211111100000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-222-1-1-1-1-1-1-2-2111111-2-211111100000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-12-222-1-1-1-1-1-1-2-2111111-2-2111111000000
χ1222222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-2-211111122-1-1-1-1-1-1-2-211111100000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-2-211111122-1-1-1-1-1-1-2-211111100000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-22-2-211111122-1-1-1-1-1-1-2-2111111000000
χ132222-12-1-122-1-122-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000
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χ152222-12-1-1-2-2-1-122-1-1-1-1-12-1-12-2-1-122-1-1-1-111-2-2111111-2-211110000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-12-2-1-122-1-1-1-111-2-2111111-2-211110000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-12-2-1-122-1-1-1-111-2-2111111-2-21111000000
χ162222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-2211-2-21111-1-122-1-1-1-111-2-211110000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-2211-2-21111-1-122-1-1-1-111-2-211110000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1-2211-2-21111-1-122-1-1-1-111-2-21111000000
χ172222-1-12-122-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000
χ182222-1-12-122-1-1-1-122-1-1-1-12-1-2-21111-2-2111111-2-211-1-1-1-122-1-10000002222-1-12-122-1-1-1-122-1-1-1-12-1-2-21111-2-2111111-2-211-1-1-1-122-1-10000002222-1-12-122-1-1-1-122-1-1-1-12-1-2-21111-2-2111111-2-211-1-1-1-122-1-1000000
χ192222-1-12-1-2-2-1-1-1-122-1-1-1-12-12-2-1-1-1-122-1-11111-2-2111111-2-2110000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-12-2-1-1-1-122-1-11111-2-2111111-2-2110000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-12-2-1-1-1-122-1-11111-2-2111111-2-211000000
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χ212222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000002222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000002222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000
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χ232222-1-1-12-2-2-1-1-1-1-1-122-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-20000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-20000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-2000000
χ242222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-22111111-2-2-1-1-1-1-1-122111111-2-20000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-22111111-2-2-1-1-1-1-1-122111111-2-20000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-12-22111111-2-2-1-1-1-1-1-122111111-2-2000000
χ2522-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000002i−2i0022-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000002i−2i0022-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000002i−2i00
χ2622-2-22222002-22-22-22-2-2-2-2-20000000000000000000000000000−2i2i0022-2-22222002-22-22-22-2-2-2-2-20000000000000000000000000000−2i2i0022-2-22222002-22-22-22-2-2-2-2-20000000000000000000000000000−2i2i00
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χ292-2-2222222-2-2-2-2-2-2-2-2-222220000000000000000002-22-22-22-20000002-2-2222222-2-2-2-2-2-2-2-2-222220000000000000000002-22-22-22-20000002-2-2222222-2-2-2-2-2-2-2-2-222220000000000000000002-22-22-22-2000000
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χ422-2-22-1-12-1-221111-2-211-1-12-100i3−i3−i3i300i3−i3−i3i3i3−i300−i3i31-11-1-221-10000002-2-22-1-12-1-221111-2-211-1-12-100i3−i3−i3i300i3−i3−i3i3i3−i300−i3i31-11-1-221-10000002-2-22-1-12-1-221111-2-211-1-12-100i3−i3−i3i300i3−i3−i3i3i3−i300−i3i31-11-1-221-1000000
χ432-2-22-1-1-122-2111111-2-2-1-1-1200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-11-11-112-20000002-2-22-1-1-122-2111111-2-2-1-1-1200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-11-11-112-20000002-2-22-1-1-122-2111111-2-2-1-1-1200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-11-11-112-2000000
χ442-2-22-1-1-122-2111111-2-2-1-1-1200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-11-11-112-20000002-2-22-1-1-122-2111111-2-2-1-1-1200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-11-11-112-20000002-2-22-1-1-122-2111111-2-2-1-1-1200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-11-11-112-2000000
χ452-2-22-1-1-12-22111111-2-2-1-1-1200−i3i3−i3i3i3−i300i3−i3i3−i3−i3i3001-11-11-1-220000002-2-22-1-1-12-22111111-2-2-1-1-1200−i3i3−i3i3i3−i300i3−i3i3−i3−i3i3001-11-11-1-220000002-2-22-1-1-12-22111111-2-2-1-1-1200−i3i3−i3i3i3−i300i3−i3i3−i3−i3i3001-11-11-1-22000000
χ462-2-22-1-1-12-22111111-2-2-1-1-1200i3−i3i3−i3−i3i300−i3i3−i3i3i3−i3001-11-11-1-220000002-2-22-1-1-12-22111111-2-2-1-1-1200i3−i3i3−i3−i3i300−i3i3−i3i3i3−i3001-11-11-1-220000002-2-22-1-1-12-22111111-2-2-1-1-1200i3−i3i3−i3−i3i300−i3i3−i3i3i3−i3001-11-11-1-22000000
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Here i is the imaginary unit (i² = −1).