Finite Group Databasebeta

← Group #6579986

Character table — Group #6579986

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222222244444444444488888888222244444444444444444488888888888822444444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-11111-1-1-1-111111111111111-11111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111111111-1-11-1-1-1-11-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-11111111111-11-11-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-11-11-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111111111-1-11-11-111
χ91111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-11-11
χ101111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-11-11-1
χ111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-111111-111-1-111-1-111-1-11-11-1
χ121111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-111-1-111-1-111-11-11
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-111111-1-11-1-1-1-1-1-1-111-1-111111-1-1-1-11
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1-11111-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11-1-1-1-1-111-11111111-1-111-1-1111-1-1-1-11
χ1711111111-1-1-1-111111-1-1-1-1111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-111-11111-1-1-1
χ1811111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-111-1-1-1-1-11111-1-11-1-1-1-1111
χ1911111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1111-1-111111-1-1-1-1111-1-1-1-1111
χ2011111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111111-1-1-111-1-1-11111-1-1-11111-1-1-1
χ2111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111111-1-11-1-11111-1-11-11-111-1-1
χ2211111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11-1-111111-111-1-1-111-1-1-1-111-11-11-1-111
χ2311111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-11-1-1111-1-11111-1-1-11-11-1-111
χ2411111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111111-1-11-1-1-1-1-111-111-1-1-1-1111-11-111-1-1
χ2511111111-1-1-1-11-1-1-1-11111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-11-1-111-11111-1-1-1-11-111-1-11-1
χ2611111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-11-1-111-11
χ2711111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111111-1-1-11111-1-1-1-1-11-1-111-11
χ2811111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1111-111-1-11-1-1-1-111111-111-1-11-1
χ2911111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-1111-1-111-1-1-1-1-11111-111-1-111-1
χ3011111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1111-1-1-11111111-1-1-1-11-1-111-1-11
χ3111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111111111-1-1-1-1111-1-111-1-1-1111-1-1-1-1-1-1-111111-1-111-1-11
χ3211111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-111-1-1-1111-1-1-111-1-111111-1-1-1-1-111-1-111-1
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χ34222222222222-222222222-2-2-2000000000000-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000000000200002002000020000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2222222-2-20000-2-2220000000000000020000-200-2000020000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2222222000022-2-200000000000000-2000020020000-20000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-20000000000002222-2-222220000-2-2-2-20000000000000020000200-20000-20000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-200000000000022-2-2-2-222-2-20000222200000000000000-20000-2002000020000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-2000000000000222222-2-2-2-2000022-2-200000000000000-20000200-2000020000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-200000000000022-2-222-2-2220000-2-2220000000000000020000-20020000-20000000000000000
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χ44222-22-2-2-222-2-2-2000000002-22−2i−2i−2i−2i2i2i2i2i-2-2222-2000000002i2i−2i−2i0000−2i−2i2i2i00000000-220000002i−2i0000000000000000000000
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χ48222-22-2-2-2-2-222-2000000002-22−2i−2i−2i−2i2i2i2i2i-2-222-22000000002i2i−2i−2i00002i2i−2i−2i000000002-2000000−2i2i0000000000000000000000
χ4922-2-2-222-22-22-202i2i−2i−2i2i2i−2i−2i00022−2−222−2−20000002i−2i00002-200002-22i−2i2−22−2i2i2−i2−i2i2i2−i2−i20000000000000000i2−i22−2i2−i22−200000000
χ5022-2-2-222-22-22-202i2i−2i−2i2i2i−2i−2i00022−2−222−2−2000000−2i2i0000-220000-22−2i2i2−22−2i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−22−i2i2−2200000000
χ5122-2-2-222-22-22-202i2i−2i−2i2i2i−2i−2i000−2−222−2−2220000002i−2i00002-200002-22i−2i−22−22−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−22−i2i2−2200000000
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χ5322-2-2-222-22-22-20−2i−2i2i2i−2i−2i2i2i00022−2−222−2−20000002i−2i0000-220000-222i−2i2−22−2−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2−22i2−i2−2200000000
χ5422-2-2-222-22-22-20−2i−2i2i2i−2i−2i2i2i00022−2−222−2−2000000−2i2i00002-200002-2−2i2i2−22−2−i2−i2i2i2−i2−i2i2i20000000000000000−i2i22−2−i2i22−200000000
χ5522-2-2-222-22-22-20−2i−2i2i2i−2i−2i2i2i000−2−222−2−2220000002i−2i0000-220000-222i−2i−22−22i2i2−i2−i2i2i2−i2−i20000000000000000−i2i22−2−i2i22−200000000
χ5622-2-2-222-22-22-20−2i−2i2i2i−2i−2i2i2i000−2−222−2−222000000−2i2i00002-200002-2−2i2i−22−22i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2−22i2−i2−2200000000
χ5722-2-2-222-2-22-2202i2i−2i−2i−2i−2i2i2i00022−2−222−2−20000002i−2i00002-20000-22−2i2i−22−22i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−22−i2i22−200000000
χ5822-2-2-222-2-22-2202i2i−2i−2i−2i−2i2i2i00022−2−222−2−2000000−2i2i0000-2200002-22i−2i−22−22i2i2−i2−i2−i2−i2i2i20000000000000000−i2i22−2i2−i2−2200000000
χ5922-2-2-222-2-22-2202i2i−2i−2i−2i−2i2i2i000−2−222−2−2220000002i−2i00002-20000-22−2i2i2−22−2−i2−i2i2i2i2i2−i2−i20000000000000000−i2i22−2i2−i2−2200000000
χ6022-2-2-222-2-22-2202i2i−2i−2i−2i−2i2i2i000−2−222−2−222000000−2i2i0000-2200002-22i−2i2−22−2−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−22−i2i22−200000000
χ6122-2-2-222-2-22-220−2i−2i2i2i2i2i−2i−2i00022−2−222−2−20000002i−2i0000-2200002-2−2i2i−22−22−i2−i2i2i2i2i2−i2−i20000000000000000i2−i22−2−i2i2−2200000000
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χ924-4-4444-4-40000000004i−4i−4i4i000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000022−22−222200000000000000000000000000000000
χ934-4-4444-4-4000000000−4i4i4i−4i0002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000022−22−222200000000000000000000000000000000
χ944-4-4444-4-4000000000−4i4i4i−4i000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000−222222−2200000000000000000000000000000000
χ954-4-4-44-444000004-4-44000000022−22−222222−22−22220000000000000000000000000022−22−2222000000000000000000000000000000000000
χ964-4-4-44-444000004-4-440000000−222222−22−222222−2200000000000000000000000000−222222−22000000000000000000000000000000000000
χ974-4-4-44-44400000-444-4000000022−22−222222−22−222200000000000000000000000000−222222−22000000000000000000000000000000000000
χ984-4-4-44-44400000-444-40000000−222222−22−222222−220000000000000000000000000022−22−2222000000000000000000000000000000000000

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