Finite Group Databasebeta

← Group #202863

Character table — Group #202863

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12222222222244444444444444444444444444444444448888888888888888888888888888888888888888444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ171-111-1-1-1111-1-11-111-1-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−ii−ii−i1-11-11-11-1
χ181-111-1-1-1111-1-11-111-1-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−ii−ii-11-11-11-11
χ191-111-1-1-1111-1-11-111-1-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−ii−ii1-11-1-11-11
χ201-111-1-1-1111-1-11-111-1-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiii−ii−i-11-111-11-1
χ211-111-1-1-1111-1-11-111-1-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−ii−ii−i-11-11-11-11
χ221-111-1-1-1111-1-11-111-1-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−ii−ii1-11-11-11-1
χ231-111-1-1-1111-1-11-111-1-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−ii−ii-11-111-11-1
χ241-111-1-1-1111-1-11-111-1-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiii−ii−i1-11-1-11-11
χ251-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiii−i−ii1-1-111-1-11
χ261-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−iii−i-111-1-111-1
χ271-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−iii−i1-1-11-111-1
χ281-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii-11-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−ii−i−ii-111-11-1-11
χ291-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11−i−iiiii−i−i−i−iiiii−i−i-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiii−i−ii-111-1-111-1
χ301-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11−i−iiiii−i−i−i−iiiii−i−i-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−iii−i1-1-111-1-11
χ311-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11−i−iiiii−i−i−i−iiiii−i−i-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−iii−i-111-11-1-11
χ321-111-1-1-11-1-1111-1-1-11111-1-11-11-1-11−i−iiiii−i−i−i−iiiii−i−i-11-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i−ii1-1-11-111-1
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χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
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χ46222-22-2-2-22-22-2222-22-20000-2-200002-22-22-22-20000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2200000000000000000000
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χ842-22-2-222-2-222-22-2-222-20000-220000−2i2i2i−2i2i−2i−2i2i0000000000−22−222−22−22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ852-22-2-222-2-222-2-222-2-2200002-20000000000002-2-22-222-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ862-22-2-222-2-222-2-222-2-2200002-20000000000002-2-22-222-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ872-22-2-222-2-222-2-222-2-2200002-2000000000000-222-22-2-2200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ882-22-2-222-2-222-2-222-2-2200002-2000000000000-222-22-2-2200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ8944-4-4-44-4400000000004-44-40000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ9044-4-4-44-4400000000004-44-4000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ9144-4-4-44-440000000000-44-44000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ9244-4-4-44-440000000000-44-4400000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ934-4-4-44-44400000000004-4-4400000000000000000000000000000000000000000000000000000000000022−22−2222000000000000
χ944-4-4-44-44400000000004-4-44000000000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ954-4-4-44-4440000000000-444-40000000000000000000000000000000000000000000000000000000022−22−22220000000000000000
χ964-4-4-44-4440000000000-444-400000000000000000000000000000000000000000000000000000000−222222−220000000000000000
χ9788-88-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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