Finite Group Databasebeta

← Group #6433721

Character table — Group #6433721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444442222222222224444444444444444444444444444888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-111-1-1-1-1111-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-11111-1-1-1111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111111-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-111111
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11-11111
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111-1-11111-11-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11-11-11-1-1-11-11-1
χ1811111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-11-1111-11-11
χ1911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-11-1-11-11-1-1-11-11
χ2011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-111-11-1111-11-1
χ2111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-111-1-11-111-1-11
χ2211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1-111-11-1-111-1
χ2311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-11-111-1-11-111-1
χ2411111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-11-1-111-11-1-11
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-111-1-11-1-1-111-1
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-11-1-111-1111-1-11
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-11-111-1-1-11-1-11
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11-1-1111-111-1
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-11-11-1-11-11-11
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-11-11-111-11-11-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-11-111-11-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-11-11-1-11-11
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χ3822222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
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χ52222-2-22-2-2-2-2-2-2222222-2-2-2-222-2-222-2222-2-222-2-2-220000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ53222-2-22-2-2-2-2-2-22222-2-22222-2-2-2-2222-222-2-2-2-2222-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ54222-2-22-2-2-2-2-2-22222-2-22222-2-2-2-2222-222-2-2-2-2222-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
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χ5722-22-2-22-22i2i−2i−2i2i2i−2i−2i000000002-22-2002i−2i2i−2i000000002-2002i−2i2i−2i002-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2i2−i2i2−i20000000000000000
χ5822-22-2-22-22i2i−2i−2i2i2i−2i−2i000000002-22-2002i−2i2i−2i000000002-2002i−2i2i−2i002-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22−i2i2−i2i20000000000000000
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χ6922-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000-22-22002i−2i2i−2i000000002-200−2i2i2i−2i00-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000
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χ7622-2-22-2-222i2i−2i−2i−2i−2i2i2i000000002-2-22002i−2i−2i2i000000-2200−2i2i0000−2i2i00-22−222−2i2−i2−i2i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i22−2−220000000000000000
χ7722-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000-222-200−2i2i2i−2i0000002-2002i−2i0000−2i2i00-222−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2i2−i2−i2i2−222−20000000000000000
χ7822-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000-222-200−2i2i2i−2i0000002-2002i−2i0000−2i2i00-22−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−2i2−i2−i2i2−i2i2i2−i22−2−220000000000000000
χ7922-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000-222-200−2i2i2i−2i000000-2200−2i2i00002i−2i002-22−2−22−i2i2i2−i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2−i2i2i2−i22−2−220000000000000000
χ8022-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000-222-200−2i2i2i−2i000000-2200−2i2i00002i−2i002-2−222−2i2−i2−i2i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2i2−i2−i2i2−222−20000000000000000
χ8122-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2-2200−2i2i2i−2i0000002-200−2i2i0000−2i2i002-22−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2i2−i2−i2i22−2−220000000000000000
χ8222-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2-2200−2i2i2i−2i0000002-200−2i2i0000−2i2i002-2−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2−i2i2i2−i2−222−20000000000000000
χ8322-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2-2200−2i2i2i−2i000000-22002i−2i00002i−2i00-222−2−22i2−i2−i2i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i2−222−20000000000000000
χ8422-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2-2200−2i2i2i−2i000000-22002i−2i00002i−2i00-22−222−2−i2i2i2−i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i22−2−220000000000000000
χ8522-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000-222-2002i−2i−2i2i0000002-200−2i2i00002i−2i00-222−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2−i2i2i2−i2−222−20000000000000000
χ8622-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000-222-2002i−2i−2i2i0000002-200−2i2i00002i−2i00-22−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2i2−i2−i2i22−2−220000000000000000
χ8722-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000-222-2002i−2i−2i2i000000-22002i−2i0000−2i2i002-22−2−22i2−i2−i2i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2i2−i2−i2i22−2−220000000000000000
χ8822-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000-222-2002i−2i−2i2i000000-22002i−2i0000−2i2i002-2−222−2−i2i2i2−i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2−i2i2i2−i2−222−20000000000000000
χ894-444-4-4-444i−4i4i−4i4i−4i4i−4i00004-44-400000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-4-444i−4i4i−4i4i−4i4i−4i0000-44-440000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ914-444-4-4-44−4i4i−4i4i−4i4i−4i4i00004-44-40000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ924-444-4-4-44−4i4i−4i4i−4i4i−4i4i0000-44-4400000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-44-44i−4i4i−4i−4i4i−4i4i00004-4-4400000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-44-44i−4i4i−4i−4i4i−4i4i0000-444-40000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-44-4−4i4i−4i4i4i−4i4i−4i00004-4-440000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4−4i4i−4i4i4i−4i4i−4i0000-444-400000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-44-4-444-4-444-44-4000000004400000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-4-44-4-444-4-44-44-4400000000-4-400000000440000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-4-444-4-444-44-44-400000000-4-400000000440000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-444-4-444-4-44-44000000004400000000-4-40000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44444-4-44-444-44-4-44000000004-400000000-440000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-44444-4-44-444-4-444-400000000-44000000004-40000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4444-444-44-4-444-4-4400000000-44000000004-40000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-444-44-4-44-444-4000000004-400000000-440000000000000000000000000000000000000000000000000000000000000000

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