Finite Group Databasebeta

← Group #362649

Character table — Group #362649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222222222224444444444444444444444444444444444448888888888888888222222224444444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1711-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ1811-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii−ii−ii
χ1911-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1-11-11ii−i−iii−i−i−i−iii−i−iii−ii−ii
χ2011-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1-11-11−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ2111-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1111-11-1−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ2211-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1111-11-1ii−i−iii−i−i−i−iii−i−iiii−ii−i
χ2311-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-11-11−i−iii−i−iii−i−iii−i−iiii−ii−i
χ2411-1-1-1-1-111111-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-11-11ii−i−iii−i−iii−i−iii−i−i−ii−ii
χ2511-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-1111-1-11ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ2611-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-1111-1-11−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ2711-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-111-1ii−i−i−i−iii−i−iiiii−i−i−iii−i
χ2811-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-111-1−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ2911-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-11-1-11−i−iiiii−i−iii−i−i−i−iii−iii−i
χ3011-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-11-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ3111-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ3211-1-1-1-1-111111-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii−iii−i
χ332222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-200000000222222220000000000000000000000000000-2-2-2-200000000000000000000
χ342222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000222200000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000002222-2-2-2-20000000000000000000000000000-2-22200000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-22222000000000000000000000000000022-2-200000000000000000000
χ3722222-2-22-2-22-22-2-2-222-2-22-200000000-2200002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-20000000000000000
χ3822222-2-22-2-22-22-2-2-222-2-22-200000000-2200002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-220000000000000000
χ3922222-2-22-2-22-22-2-2-222-2-22-200000000-220000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-220000000000000000
χ4022222-2-22-2-22-22-2-2-222-2-22-200000000-220000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-20000000000000000
χ412222-22-2-22-2-22-2-2-2200000022-2-222-2-2000000000000002i−2i2i−2i2i−2i2i−2i2−22−22−22−222−2−222−2−2000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ422222-22-2-22-2-22-2-2-2200000022-2-222-2-2000000000000002i−2i2i−2i2i−2i2i−2i−22−22−22−22−2−222−2−222000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ432222-22-2-22-2-22-2-2-2200000022-2-222-2-200000000000000−2i2i−2i2i−2i2i−2i2i2−22−22−22−222−2−222−2−2000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ442222-22-2-22-2-22-2-2-2200000022-2-222-2-200000000000000−2i2i−2i2i−2i2i−2i2i−22−22−22−22−2−222−2−222000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ452222-22-2-22-2-22-2-2-22000000-2-222-2-222000000000000002i−2i2i−2i−2i2i−2i2i2−22−22−22−2−2−222−2−222000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ462222-22-2-22-2-22-2-2-22000000-2-222-2-222000000000000002i−2i2i−2i−2i2i−2i2i−22−22−22−2222−2−222−2−2000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ472222-22-2-22-2-22-2-2-22000000-2-222-2-22200000000000000−2i2i−2i2i2i−2i2i−2i2−22−22−22−2−2−222−2−222000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ482222-22-2-22-2-22-2-2-22000000-2-222-2-22200000000000000−2i2i−2i2i2i−2i2i−2i−22−22−22−2222−2−222−2−2000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ4922-2-22-22-22-2-2222-2-200000022-2-2-2-222000000000000002i−2i−2i2i2i−2i−2i2ii2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−222−2−222−20000
χ5022-2-22-22-22-2-2222-2-200000022-2-2-2-222000000000000002i−2i−2i2i2i−2i−2i2i−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000002−2−222−2−220000
χ5122-2-22-22-22-2-2222-2-200000022-2-2-2-22200000000000000−2i2i2i−2i−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000002−2−222−2−220000
χ5222-2-22-22-22-2-2222-2-200000022-2-2-2-22200000000000000−2i2i2i−2i−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−222−2−222−20000
χ5322-2-22-22-22-2-2222-2-2000000-2-22222-2-2000000000000002i−2i−2i2i−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−222−22−2−220000
χ5422-2-22-22-22-2-2222-2-2000000-2-22222-2-2000000000000002i−2i−2i2i−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000000000002−2−22−222−20000
χ5522-2-22-22-22-2-2222-2-2000000-2-22222-2-200000000000000−2i2i2i−2i2i−2i−2i2ii2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000002−2−22−222−20000
χ5622-2-22-22-22-2-2222-2-2000000-2-22222-2-200000000000000−2i2i2i−2i2i−2i−2i2i−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−222−22−2−220000
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χ5822-2-2-2222-2-22-2-22-2222-2-2-22000000002-200002i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-20000000000000000000000002i−2i−2i2i0000000000000000
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χ9244-4-444-4-4-44-4-44-44400000000000000000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ9344-4-444-4-4-44-4-44-444000000000000000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ9444-4-4-4444-4-44-4-44-44-4-4444-400000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-4-44-4-4-44-44444-4-444-4000000004-4000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-4-44-44-4444-40000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-44-4-44-44-4444-4000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-4-44-4-44444-4-440000000000000000000000000000000000000000000022−22−222222−22−2222000000000000000000000000000000000000
χ994-44-4-4-44-4-44444-4-4400000000000000000000000000000000000000000000−222222−22−222222−22000000000000000000000000000000000000
χ1004-4-4444-4-4-4444-44-4-4000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ1014-4-4444-4-4-4444-44-4-400000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ1024-4-444-44-44-44-4-4-4440000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-44-44-44-4-4-444000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4444-4-4-444-44-44-4-44-4400000000-44000000000000000000000000000000000000000000000000000000000000000000000000

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