Finite Group Databasebeta

← Group #95005

Character table — Group #95005

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888
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
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i11-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ1711111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ2111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−ii-11-111-11-1
χ2211111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i1-11-1-11-11
χ2311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−ii1-11-1-11-11
χ2411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i-11-111-11-1
χ2511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ2611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ2711111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-111-1
χ2811111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11-1-111-1-11
χ2911111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ3011111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ3111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i−iii−ii−i−ii
χ3211111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−iii−i−ii−iii−i
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χ34222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222000000000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-222-2-2000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-222222222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000000000000000000000000000
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χ7722-2-2-2-22222-2-200000000-2-2220000-222-200002i−2i−2i2i−2i2i2i−2i002i−2i00−2i2i0000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i22−2−22−222−22−2−22−222−20000000000000000
χ7822-2-2-2-22222-2-200000000-2-2220000-222-200002i−2i−2i2i−2i2i2i−2i002i−2i00−2i2i0000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−222−22−2−22−222−22−2−220000000000000000
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χ8022-2-2-2-22222-2-200000000-2-2220000-222-20000−2i2i2i−2i2i−2i−2i2i00−2i2i002i−2i0000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−22−222−22−2−22−222−20000000000000000
χ8122-2-2-2-222-2-2220000000022-2-20000-222-200002i−2i−2i2i−2i2i2i−2i00−2i2i002i−2i0000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22−2−222−2−22−222−2−222−20000000000000000
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χ8422-2-2-2-222-2-2220000000022-2-20000-222-20000−2i2i2i−2i2i−2i−2i2i002i−2i00−2i2i0000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22−2−222−2−22−222−2−222−20000000000000000
χ8522-2-2-2-222-2-22200000000-2-22200002-2-2200002i−2i−2i2i2i−2i−2i2i00−2i2i00−2i2i00002−2−22−222−2−222−22−2−22−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ8622-2-2-2-222-2-22200000000-2-22200002-2-2200002i−2i−2i2i2i−2i−2i2i00−2i2i00−2i2i0000−222−22−2−222−2−22−222−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ8722-2-2-2-222-2-22200000000-2-22200002-2-220000−2i2i2i−2i−2i2i2i−2i002i−2i002i−2i00002−2−22−222−2−222−22−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ8822-2-2-2-222-2-22200000000-2-22200002-2-220000−2i2i2i−2i−2i2i2i−2i002i−2i002i−2i0000−222−22−2−222−2−22−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ894-44-44-44-4000000004-44-44i−4i4i−4i000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-44-4000000004-44-4−4i4i−4i4i00000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-44-400000000-44-444i−4i4i−4i00000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-400000000-44-44−4i4i−4i4i000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-444-44-44i−4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-444-44-4−4i4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-44-44-444i−4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-44-44-44−4i4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-444-4-440000000000004i−4i4i−4i00004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444-4-44000000000000−4i4i−4i4i0000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-444-40000000000004i−4i4i−4i0000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-444-4000000000000−4i4i−4i4i00004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-400004i−4i−4i4i00004i−4i−4i4i-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-400004i−4i−4i4i0000−4i4i4i−4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000−4i4i4i−4i00004i−4i−4i4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000−4i4i4i−4i0000−4i4i4i−4i-444-40000000000000000000000000000000000000000000000000000000000000000000000000000

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