Finite Group Databasebeta

← Group #206293

Character table — Group #206293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444448888888888888888444488888888888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-1
χ911111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ1411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ1511111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ1611111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ171-11-1-11-1111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−ii−i1-1i−ii−i1-11-1
χ181-11-1-11-1111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii−ii-11−ii−ii-11-11
χ191-11-1-11-1111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-1i−ii−i1-1−ii−ii-11-11
χ201-11-1-11-1111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11−ii−ii-11i−ii−i1-11-1
χ211-11-1-11-1111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-1−ii−ii1-1i−ii−i-11-11
χ221-11-1-11-1111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11i−ii−i-11−ii−ii1-11-1
χ231-11-1-11-1111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii−ii1-1−ii−ii1-11-1
χ241-11-1-11-1111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−ii−i-11i−ii−i-11-11
χ251-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1i−i−ii-11i−i−ii1-1-11
χ261-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11−iii−i1-1−iii−i-111-1
χ271-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1i−i−ii-11−iii−i-111-1
χ281-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-11−iii−i1-1i−i−ii1-1-11
χ291-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1−iii−i-11i−i−ii-111-1
χ301-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-11i−i−ii1-1−iii−i1-1-11
χ311-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1−iii−i-11−iii−i1-1-11
χ321-11-1-11-11-1-11111-1-1-1-11111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11i−i−ii1-1i−i−ii-111-1
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χ35222222222222-2-2222222-2-2-2-222-2-20000000000000000-2-2-2-200000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ36222222222222-2-2222222-2-2-2-222-2-20000000000000000-2-2-2-2000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ37222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ38222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-222-2-22222-2-222-2-2-2-20000000000000000-2-2220000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ4022222222-2-2-2-222-2-22222-2-222-2-2-2-20000000000000000-2-22200000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ4122222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-20000000000000000222200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ4222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-200000000000000002222000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
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χ4422222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2222222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
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χ5222-2-2-222-22-22-200-22-22-220000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000−i2i2i2−i2−i2i2i2−i2−222−2−222−2−222−2−222−22i−2i002i−2i002i−2i002i−2i000000000000000000
χ5322-2-2-222-2-22-22002-2-22-2200002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i2−i2i2−i2i22−22−22−22−2−22−22−22−22002i−2i002i−2i00−2i2i00−2i2i0000000000000000
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χ6022-2-2-222-2-22-2200-222-22-20000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000i2−i2−i2i2i2−i2−i2i2−222−2−222−22−2−222−2−222i−2i002i−2i00−2i2i00−2i2i000000000000000000
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χ652-22-2-22-2222-2-2-2-2-2-222-2-2-2-22222220000000000000000-22-2200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
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χ672-22-2-22-22-2-222222222-2-2-2-2-2-2-2-2220000000000000000-222-2000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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χ702-22-2-22-22-2-222-2-22222-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ712-22-2-22-22-2-222-2-2-2-2-2-222-2-222222200000000000000002-22-200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ722-22-2-22-22-2-222-2-2-2-2-2-222-2-222222200000000000000002-22-2000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
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χ752-2-2222-2-22-2-22002-2-222-20000-2200−2−22222−2−222−2−2−2−2220000−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22i−2i00−2i2i002i−2i00−2i2i000000000000000000
χ762-2-2222-2-22-2-22002-2-222-20000-2200−2−22222−2−222−2−2−2−2220000−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−2i2i002i−2i00−2i2i002i−2i000000000000000000
χ772-2-2222-2-22-2-2200-222-2-2200002-20022−2−222−2−2−2−222−2−22200002−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i00−2i2i002i−2i0000000000000000
χ782-2-2222-2-22-2-2200-222-2-2200002-20022−2−222−2−2−2−222−2−22200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i002i−2i00−2i2i0000000000000000
χ792-2-2222-2-22-2-2200-222-2-2200002-200−2−222−2−22222−2−222−2−20000−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i002i−2i00−2i2i0000000000000000
χ802-2-2222-2-22-2-2200-222-2-2200002-200−2−222−2−22222−2−222−2−20000−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i00−2i2i002i−2i0000000000000000
χ812-2-2222-2-2-222-2002-22-2-220000-220022−2−2−2−222−2−22222−2−20000−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−2i2i002i−2i002i−2i00−2i2i000000000000000000
χ822-2-2222-2-2-222-2002-22-2-220000-220022−2−2−2−222−2−22222−2−20000−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22i−2i00−2i2i00−2i2i002i−2i000000000000000000
χ832-2-2222-2-2-222-2002-22-2-220000-2200−2−22222−2−222−2−2−2−22200002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22i−2i00−2i2i00−2i2i002i−2i000000000000000000
χ842-2-2222-2-2-222-2002-22-2-220000-2200−2−22222−2−222−2−2−2−22200002−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−2i2i002i−2i002i−2i00−2i2i000000000000000000
χ852-2-2222-2-2-222-200-22-222-200002-20022−2−222−2−2−2−222−2−2220000−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i002i−2i00−2i2i0000000000000000
χ862-2-2222-2-2-222-200-22-222-200002-20022−2−222−2−2−2−222−2−2220000−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i00−2i2i002i−2i0000000000000000
χ872-2-2222-2-2-222-200-22-222-200002-200−2−222−2−22222−2−222−2−200002−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i00−2i2i002i−2i0000000000000000
χ882-2-2222-2-2-222-200-22-222-200002-200−2−222−2−22222−2−222−2−200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i002i−2i00−2i2i0000000000000000
χ894444-4-4-4-400004-4000000004-4000022−2222−2222−2222−2222−2222−2222−2222−22000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-400004-4000000004-40000−2222−2222−2222−2222−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-40000-4400000000-44000022−2222−22−2222−222222−2222−22−2222−2222000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-40000-4400000000-440000−2222−222222−2222−22−2222−222222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-440000000000004-400004-400004i−4i−4i4i00004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-440000000000004-400004-40000−4i4i4i−4i0000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-44000000000000-440000-444i−4i−4i4i00004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-44000000000000-440000-44−4i4i4i−4i0000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ974-44-44-44-400004-400000000-4400002i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ984-44-44-44-400004-400000000-440000−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ994-44-44-44-40000-44000000004-400002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-40000-44000000004-40000−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4440000000000004-40000-4400004-4-440000-444-4000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4440000000000004-40000-440000-444-400004-4-44000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444000000000000-4400004-44-4-440000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444000000000000-4400004-4-444-400004-4-440000000000000000000000000000000000000000000000000000000000000000

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