Finite Group Databasebeta

← Group #6629751

Character table — Group #6629751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444448888888888888888222244444444444444448888888888888888888888882222444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ10111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ11111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ12111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1711111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ1811111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ1911111111-1-1-1-111-1-1-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ2011111111-1-1-1-111-1-1-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ2111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-111-1-11
χ2211111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-111-1
χ2311111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11-1-11-111-11-1-11-111-1
χ2411111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-111-11-1-11-111-11-1-11
χ2511111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-11-11-111-11-1
χ2611111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-11-11-1-11-11
χ2711111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-11-1-11-11-11-11
χ2811111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11-111-11-11-11-1
χ2911111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-111-1-111-11-1-11
χ3011111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-111-1-11-111-1
χ3111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-1
χ3211111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-11-1-111-1-11
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χ34222222222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
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χ3822222222-2-2-2-2-2-222222222-2-2-2-2-2-20000000000000000-2-2-2-22222-2-222-2-22222-2-20000000000000000000000000000000000000000
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χ4022222222-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000-2-2-2-2222222-2-222-2-2-2-2220000000000000000000000000000000000000000
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χ47222-2-22-2-222-2-2-22-2-22200000000-22-2-2-2-22222000000000000000000002i−2i−2i2i2i−2i−2i2i-2-222000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ48222-2-22-2-222-2-2-22-2-22200000000-22-2-2-2-2222200000000000000000000−2i2i2i−2i−2i2i2i−2i-2-2220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ49222-2-22-2-2-2-2222-2-2-222000000002-2000000002222-2-2-2-20000000000002i−2i2i−2i−2i2i−2i2i0000-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000
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χ54222-2-22-2-2-2-222-2222-2-200000000-222222-2-2-2-200000000000000000000−2i2i2i−2i2i−2i−2i2i-2-222000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ55222-2-22-2-2-2-222-2222-2-200000000-22-2-2-2-22222000000000000000000002i−2i−2i2i−2i2i2i−2i22-2-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
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χ582-2222-2-2-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i-22-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00000000-22-22−2i2i−2i2i00000000000000000000000000000000
χ592-2222-2-2-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i-2222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i000000002-22-2−2i2i−2i2i00000000000000000000000000000000
χ602-2222-2-2-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i-22-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i00000000-22-222i−2i2i−2i00000000000000000000000000000000
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χ662-2222-2-2-2-22-222-2-22-222i2i−2i−2i2i2i−2i−2i-22-2-222-2-222−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i000000002-22-22i−2i2i−2i00000000000000000000000000000000
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χ872-22-2-2-222-222-2-2-22-2-220000000022-2-22222-2-2000000002-22-2-22-220000000000002-2-220000-222-22-2-22000000000000000000000000
χ882-22-2-2-222-222-2-2-22-2-220000000022-2-22222-2-200000000-22-222-22-20000000000002-2-2200002-2-22-222-2000000000000000000000000
χ8944-44-4-44-4000000000000004i−4i4i−4i0022−2222−2222−2222−222i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9044-44-4-44-4000000000000004i−4i4i−4i00−2222−2222−2222−2222−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ9144-44-4-44-400000000000000−4i4i−4i4i0022−2222−2222−2222−22−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ9244-44-4-44-400000000000000−4i4i−4i4i00−2222−2222−2222−22222i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-4400000000004i−4i4i−4i00000022−2222−22−2222−22222i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-4400000000004i−4i4i−4i000000−2222−222222−2222−22−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-440000000000−4i4i−4i4i00000022−2222−22−2222−2222−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-440000000000−4i4i−4i4i000000−2222−222222−2222−222i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-44000000000000004-4-440022−22−222222−22−222222−22−222222−22−2222000000000000000000000000000000000000000000000000000000000000
χ984-4-44-44-44000000000000004-4-4400−222222−22−222222−22−222222−22−222222−22000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-4400000000000000-444-40022−22−222222−22−2222−222222−22−222222−22000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-44-4400000000000000-444-400−222222−22−222222−2222−22−222222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-400000000004-4-4400000022−22−2222−222222−2222−22−2222−222222−22000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-400000000004-4-44000000−222222−2222−22−2222−222222−2222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4444-40000000000-444-400000022−22−2222−222222−22−222222−2222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4444-40000000000-444-4000000−222222−2222−22−222222−22−2222−222222−22000000000000000000000000000000000000000000000000000000000000

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