Finite Group Databasebeta

← Group #95331

Character table — Group #95331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444444444444444444444444444442222224444444444888888888888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i
χ91111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ101111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
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χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-22222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-22222-2-222000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2222222-2-2000000000000000000000000000000000000000000000000
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χ772-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-222-22-20000−2i2i−2i2i2i−2i2i−2i00000000-2200000000−2i2i00000000000000000000000000000000i2−i2−22−i2i22−2i2−i2−22−i2i22−2
χ782-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-222-22-20000−2i2i−2i2i2i−2i2i−2i00000000-2200000000−2i2i00000000000000000000000000000000−i2i22−2i2−i2−22−i2i22−2i2−i2−22
χ792-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22-22-220000−2i2i−2i2i−2i2i−2i2i000000002-2000000002i−2i000000000000000000000000000000002−2i2−i2−22−i2i2−22−i2i22−2i2−i2
χ802-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22-22-220000−2i2i−2i2i−2i2i−2i2i000000002-2000000002i−2i00000000000000000000000000000000−22−i2i22−2i2−i22−2i2−i2−22−i2i2
χ812-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i000000002-200000000−2i2i000000000000000000000000000000002−2−i2i22−2−i2i22−2−i2i22−2−i2i2
χ822-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i000000002-200000000−2i2i00000000000000000000000000000000−22i2−i2−22i2−i2−22i2−i2−22i2−i2
χ832-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-220000−2i2i−2i2i2i−2i2i−2i00000000-22000000002i−2i00000000000000000000000000000000i2−i22−2i2−i22−2−i2i2−22−i2i2−22
χ842-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-220000−2i2i−2i2i2i−2i2i−2i00000000-22000000002i−2i00000000000000000000000000000000−i2i2−22−i2i2−22i2−i22−2i2−i22−2
χ852-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222-22-200002i−2i2i−2i−2i2i−2i2i00000000-22000000002i−2i00000000000000000000000000000000i2−i22−2−i2i2−22i2−i22−2−i2i2−22
χ862-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222-22-200002i−2i2i−2i−2i2i−2i2i00000000-22000000002i−2i00000000000000000000000000000000−i2i2−22i2−i22−2−i2i2−22i2−i22−2
χ872-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-22-22-2200002i−2i2i−2i2i−2i2i−2i000000002-200000000−2i2i000000000000000000000000000000002−2−i2i2−22i2−i2−22i2−i22−2−i2i2
χ882-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-22-22-2200002i−2i2i−2i2i−2i2i−2i000000002-200000000−2i2i00000000000000000000000000000000−22i2−i22−2−i2i22−2−i2i2−22i2−i2
χ8944-4-44-4-444i4i−4i−4i−4i−4i4i4i000000004i−4i−4i4i00000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-4-444i4i−4i−4i−4i−4i4i4i00000000−4i4i4i−4i000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-4-44−4i−4i4i4i4i4i−4i−4i000000004i−4i−4i4i000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-44−4i−4i4i4i4i4i−4i−4i00000000−4i4i4i−4i00000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-4-444i−4i4i−4i−4i4i−4i4i00004i−4i−4i4i00000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-444i−4i4i−4i−4i4i−4i4i0000−4i4i4i−4i000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-4-44−4i4i−4i4i4i−4i4i−4i00004i−4i−4i4i000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ964-444-4-4-44−4i4i−4i4i4i−4i4i−4i0000−4i4i4i−4i00000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-44-4-44-444-40000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ984-4-4444-4-44-4-44-444-4000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-4-444-44-4-440000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-444-44-4-44000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44444-4-444-4-444-4-44000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-44444-4-444-4-44-444-400000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4444-444-4-444-44-4-4400000000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-444-4-444-4-444-4000000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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