Finite Group Databasebeta

← Group #202860

Character table — Group #202860

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12222222444444444444444422444444444444444444448888888888888888888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911111111-1-1-1-11-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-1-1-11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111
χ1511111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
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χ1811-1-111-1-111-1-1111-1-111-1-1-1-111-11-1iiii−i−i−i−i1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11−ii−ii-11-11
χ1911-1-111-1-111-1-1111-1-111-1-1-1-111-11-1iiii−i−i−i−i1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1-11-1−ii−ii-11-11
χ2011-1-111-1-111-1-1111-1-111-1-1-1-111-11-1iiii−i−i−i−i1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii−i−iii-11-11i−ii−i1-11-1
χ2111-1-111-1-111-1-1111-1-111-1-1-1-111-11-1−i−i−i−iiiii1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-11-11−ii−ii1-11-1
χ2211-1-111-1-111-1-1111-1-111-1-1-1-111-11-1−i−i−i−iiiii1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii1-11-1i−ii−i-11-11
χ2311-1-111-1-111-1-1111-1-111-1-1-1-111-11-1−i−i−i−iiiii1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11i−ii−i-11-11
χ2411-1-111-1-111-1-1111-1-111-1-1-1-111-11-1−i−i−i−iiiii1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1
χ2511-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1iiii−i−i−i−i-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-1-11i−i−ii1-1-11
χ2611-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1iiii−i−i−i−i-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-111-1−iii−i-111-1
χ2711-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1iiii−i−i−i−i-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii1-1-11−iii−i-111-1
χ2811-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1iiii−i−i−i−i-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-111-1i−i−ii1-1-11
χ2911-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1−i−i−i−iiiii-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-111-1−iii−i1-1-11
χ3011-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1−i−i−i−iiiii-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i1-1-11i−i−ii-111-1
χ3111-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1−i−i−i−iiiii-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-111-1i−i−ii-111-1
χ3211-1-111-1-1-1-1111-1-11111-1-1-1-11-111-1−i−i−i−iiiii-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-1-11−iii−i1-1-11
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χ4422222222-2-2-2-2-2-2-2-2-222-2-222-222-2-2-2-222-2-2222222-2-222-2-20000000000000000000000000000000000000000000000000000
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χ4822-2-222-2-222-2-2-222-2-22222-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
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χ5622-2-222-2-2-2-222-2-2-2222222-2-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
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χ802-2-222-2-222i−2i−2i2i0−2i2i2i−2i-22002-200000−2i2i002i−2i00002-200-2200−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000000000000000
χ812-2-222-2-22−2i2i2i−2i02i−2i−2i2i-22002-2000002i−2i00−2i2i00002-200-22002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000000000000000
χ822-2-222-2-22−2i2i2i−2i02i−2i−2i2i-22002-2000002i−2i00−2i2i00002-200-2200−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−22−222−200000000000000000000
χ832-2-222-2-22−2i2i2i−2i02i−2i−2i2i-22002-200000−2i2i002i−2i0000-22002-2002−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22−2−22−222−200000000000000000000
χ842-2-222-2-22−2i2i2i−2i02i−2i−2i2i-22002-200000−2i2i002i−2i0000-22002-200−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000000000000000
χ852-2-222-2-22−2i2i2i−2i0−2i2i2i−2i2-200-2200000002-200-2200002i−2i00−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i22−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000
χ862-2-222-2-22−2i2i2i−2i0−2i2i2i−2i2-200-2200000002-200-2200002i−2i00−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ872-2-222-2-22−2i2i2i−2i0−2i2i2i−2i2-200-220000000-22002-20000−2i2i002i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ882-2-222-2-22−2i2i2i−2i0−2i2i2i−2i2-200-220000000-22002-20000−2i2i002i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i22−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000
χ894-444-44-4-4000040000004-400-400000000000000000000000000000000000000000000000000000022−2222−220000000000000000
χ904-444-44-4-4000040000004-400-4000000000000000000000000000000000000000000000000000000−2222−22220000000000000000
χ914-444-44-4-40000-4000000-4400400000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ924-444-44-4-40000-4000000-440040000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ934-4-4-4-444400004000000-4400-40000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ944-4-4-4-444400004000000-4400-4000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ954-4-4-4-44440000-40000004-4004000000000000000000000000000000000000000000000000000000000022−22−2222000000000000
χ964-4-4-4-44440000-40000004-40040000000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ97888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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