Finite Group Databasebeta

← Group #383029

Character table — Group #383029

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222224444444444444444444444444444444444444444888888888888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ171-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ181-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ191-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ201-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ211-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i−ii−ii−ii−ii
χ221-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−ii−iii−ii−ii−ii−i
χ231-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241-1-11111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ261-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ271-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ281-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ291-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iii−i−ii−iii−i−iii−i
χ301-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−i−iii−ii−i−iii−i−ii
χ311-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i−iii−ii−i−ii
χ321-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−iii−i−ii−iii−i
χ332222222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
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χ362222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
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χ5322-22-2-2-2-222-2-2222-22-222-2-22i2i−2i−2i2i−2i−2i2i2i2i−2i−2i2i−2i−2i2i2-2000000000000000000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
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χ5822-22-2-2-2-222-2-2222-2-22-2-2222i2i−2i−2i−2i2i2i−2i2i2i−2i−2i−2i2i2i−2i-220000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-2200000000000000000000000000000000
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χ6022-22-2-2-2-222-2-2222-2-22-2-222−2i−2i2i2i2i−2i−2i2i−2i−2i2i2i2i−2i−2i2i-220000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-200000000000000000000000000000000
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χ732-222-2-2-2-22222-2-2-22-2222-2-22i2i−2i−2i−2i2i2i−2i−2i−2i2i2i2i−2i−2i2i-2200000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000000000
χ742-222-2-2-2-22222-2-2-22-2222-2-22i2i−2i−2i−2i2i2i−2i−2i−2i2i2i2i−2i−2i2i-220000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000000000
χ752-222-2-2-2-22222-2-2-22-2222-2-2−2i−2i2i2i2i−2i−2i2i2i2i−2i−2i−2i2i2i−2i-2200000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000000000000000
χ762-222-2-2-2-22222-2-2-22-2222-2-2−2i−2i2i2i2i−2i−2i2i2i2i−2i−2i−2i2i2i−2i-220000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000000000000000
χ772-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ782-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ792-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ802-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ812-2-2222-2-2-2-22222-2-2000000000022-2-20000-2-22200002i−2i00−2i2i2i−2i00−2i2i0022−2−2−2−22222−2−2−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ822-2-2222-2-2-2-22222-2-2000000000022-2-20000-2-22200002i−2i00−2i2i2i−2i00−2i2i00−2−22222−2−2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ832-2-2222-2-2-2-22222-2-2000000000022-2-20000-2-2220000−2i2i002i−2i−2i2i002i−2i0022−2−2−2−22222−2−2−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ842-2-2222-2-2-2-22222-2-2000000000022-2-20000-2-2220000−2i2i002i−2i−2i2i002i−2i00−2−22222−2−2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ852-2-2222-2-2-2-22222-2-20000000000-2-222000022-2-200002i−2i00−2i2i−2i2i002i−2i0022−2−2−2−222−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ862-2-2222-2-2-2-22222-2-20000000000-2-222000022-2-200002i−2i00−2i2i−2i2i002i−2i00−2−22222−2−222−2−2−2−222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ872-2-2222-2-2-2-22222-2-20000000000-2-222000022-2-20000−2i2i002i−2i2i−2i00−2i2i0022−2−2−2−222−2−22222−2−2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ882-2-2222-2-2-2-22222-2-20000000000-2-222000022-2-20000−2i2i002i−2i2i−2i00−2i2i00−2−22222−2−222−2−2−2−222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ89444-44-44-44-44-44-4-4-40000004-44-400004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ90444-44-44-44-44-44-4-4-4000000-44-440000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ91444-44-4-44-44-44-44-4-44-44-44-40000000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ92444-44-4-44-44-44-44-4-4-44-44-4400000000000000004-40000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-444-4-444-4-44-44444-4-440000000000000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-444-4-444-4-44-44-4-4-444-40000000000000000440000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-44-444-4-444-4-440000004i−4i−4i4i00004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-44-444-4-444-4-44000000−4i4i4i−4i0000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444-4-44-444-44-444-444-40000000000000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-4-44-444-44-4-4-44-4-440000000000000000440000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-444-44-4-444-40000004i−4i−4i4i0000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-44-444-44-4-444-4000000−4i4i4i−4i00004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-44-44-4-44-44440000004-44-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-44-44-44-4-44-4444000000-44-4400004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-4-44-444-44-4444-4-44-440000000000000000-440000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-44-4-44-444-44-444-444-44-400000000000000004-40000000000000000000000000000000000000000000000000000000000000000

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