Finite Group Databasebeta

← Group #13043406

Character table — Group #13043406

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222222444444444444444444444444444888888888888888888888888101010101010101020202020202020202020202040404040404040404040404040404040
order122224444885888101616161616161616202040404040808080808080808010101020202040404040404080808080808080808080808022224444888816161616161616164444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ9111-1-11-1-111111-1-111111-1-1-1-1111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111-1-11-1-111111-1-111111-1-1-1-1111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ11111-1-11-1-111111-1-111111-1-1-1-1111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111-1-11-1-111111-1-111111-1-1-1-1111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111-1-11-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ14111-1-11-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ15111-1-11-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111-1-11-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1711-11-1-11-11111-11-1111-1-111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-111-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1811-11-1-11-11111-11-1111-1-111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-111-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1911-11-1-11-11111-11-1111-1-111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-1-111-1-1111-11-1-11-111-11-1-11-11
χ2011-11-1-11-11111-11-1111-1-111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-1-111-1-111-11-111-11-1-11-111-11-1
χ2111-11-1-11-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1-1-111111-11-11-11-11-11-1-1-111-1-111i−ii−ii−ii−i−ii−ii−ii−ii
χ2211-11-1-11-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1-1-111111-11-11-11-11-11-1-1-111-1-111−ii−ii−ii−iii−ii−ii−ii−i
χ2311-11-1-11-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1-1-11111-11-11-11-11-11-1111-1-111-1-11-11-1-11-11-11-111-11-1
χ2411-11-1-11-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-1-1-1-11111-11-11-11-11-11-1111-1-111-1-1-11-111-11-11-11-1-11-11
χ2511-1-11-1-111111-1-11111-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-1-1-1-1111-1-111-1-111-1-111-1-11
χ2611-1-11-1-111111-1-11111-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-1-1-1-111-111-1-111-1-111-1-111-1
χ2711-1-11-1-111111-1-11111-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1-11111-1-1i−i−ii−iii−ii−i−ii−iii−i
χ2811-1-11-1-111111-1-11111-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1-11111-1-1−iii−ii−i−ii−iii−ii−i−ii
χ2911-1-11-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-11-1-111-1-111-1-11-1-11111-1-11-1-111-1-11-111-1-111-1
χ3011-1-11-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-11-1-111-1-111-1-11-1-11111-1-1-111-1-111-11-1-111-1-11
χ3111-1-11-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-111-1-1-1-111i−i−ii−iii−i−iii−ii−i−ii
χ3211-1-11-1-111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-111-1-1-1-111−iii−ii−i−iii−i−ii−iii−i
χ33222222222-2-22-2-2-220000000022-2-2-2-200000000222222-2-2-2-2-2-200000000000022222222-2-2-2-2000000000000000000000000
χ34222222222-2-22-2-2-220000000022-2-2-2-200000000222222-2-2-2-2-2-2000000000000-2-2-2-2-2-2-2-22222000000000000000000000000
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χ362222-2-2-22-20020002i2−i2i2−i2i2−i2i2−i2-2-20000i2i2i2i2−i2−i2−i2−i222-2-2-22000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22222-2-2-20000−i2i2−i2i2−i2i2−i2i20000000000000000
χ372222-2-2-22-20020002−i2i2−i2i2−i2i2−i2i2-2-20000−i2−i2−i2−i2i2i2i2i222-2-2-22000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2-2-2-22220000−i2i2−i2i2−i2i2−i2i20000000000000000
χ382222-2-2-22-20020002−i2i2−i2i2−i2i2−i2i2-2-20000−i2−i2−i2−i2i2i2i2i222-2-2-22000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22222-2-2-20000i2−i2i2−i2i2−i2i2−i20000000000000000
χ39222-22-22-2-20020002i2−i2i2−i2−i2i2−i2i2-2-20000i2i2i2i2−i2−i2−i2−i22-22-22-2000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-222-22-2-20000i2−i2i2−i2−i2i2−i2i20000000000000000
χ40222-22-22-2-20020002i2−i2i2−i2−i2i2−i2i2-2-20000i2i2i2i2−i2−i2−i2−i22-22-22-2000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22-2-22-2220000−i2i2−i2i2i2−i2i2−i20000000000000000
χ41222-22-22-2-20020002−i2i2−i2i2i2−i2i2−i2-2-20000−i2−i2−i2−i2i2i2i2i22-22-22-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-222-22-2-20000−i2i2−i2i2i2−i2i2−i20000000000000000
χ42222-22-22-2-20020002−i2i2−i2i2i2−i2i2−i2-2-20000−i2−i2−i2−i2i2i2i2i22-22-22-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22-2-22-2220000i2−i2i2−i2−i2i2−i2i20000000000000000
χ43222-2-22-2-22-2-22-22220000000022-2-2-2-2000000002-2-22-2-2-2-2222200000000000022-2-222-2-2-2-222000000000000000000000000
χ44222-2-22-2-22-2-22-22220000000022-2-2-2-2000000002-2-22-2-2-2-22222000000000000-2-222-2-22222-2-2000000000000000000000000
χ4522-2222-2-2-20020002i2−i2−i2i2i2−i2−i2i2-2-20000i2i2i2i2−i2−i2−i2−i2-2222-2-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222-22-2-22-20000i2−i2−i2i2i2−i2−i2i20000000000000000
χ4622-2222-2-2-20020002i2−i2−i2i2i2−i2−i2i2-2-20000i2i2i2i2−i2−i2−i2−i2-2222-2-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-2-22-222-220000−i2i2i2−i2−i2i2i2−i20000000000000000
χ4722-2222-2-2-20020002−i2i2i2−i2−i2i2i2−i2-2-20000−i2−i2−i2−i2i2i2i2i2-2222-2-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i222-22-2-22-20000−i2i2i2−i2−i2i2i2−i20000000000000000
χ4822-2222-2-2-20020002−i2i2i2−i2−i2i2i2−i2-2-20000−i2−i2−i2−i2i2i2i2i2-2222-2-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-2-22-222-220000i2−i2−i2i2i2−i2−i2i20000000000000000
χ4922-22-2-22-22-2-222-2220000000022-2-2-2-200000000-22-2-22-222-2-2220000000000002-22-22-22-2-22-22000000000000000000000000
χ5022-22-2-22-22-2-222-2220000000022-2-2-2-200000000-22-2-22-222-2-222000000000000-22-22-22-222-22-2000000000000000000000000
χ5122-2-22-2-222-2-2222-220000000022-2-2-2-200000000-2-22-2-222222-2-20000000000002-2-222-2-22-222-2000000000000000000000000
χ5222-2-22-2-222-2-2222-220000000022-2-2-2-200000000-2-22-2-222222-2-2000000000000-222-2-222-22-2-22000000000000000000000000
χ5322-2-2-2222-20020002i2−i2−i2i2−i2i2i2−i2-2-20000i2i2i2i2−i2−i2−i2−i2-2-2-2222000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2222-2-2-2-220000i2−i2−i2i2−i2i2i2−i20000000000000000
χ5422-2-2-2222-20020002i2−i2−i2i2−i2i2i2−i2-2-20000i2i2i2i2−i2−i2−i2−i2-2-2-2222000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-2-2-22222-20000−i2i2i2−i2i2−i2−i2i20000000000000000
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χ5844444444444-1444-1-4-4-4-4-4-4-4-4-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000000000
χ59444444444-4-4-1-4-4-4-100000000-1-11111i5i5−i5−i5i5i5−i5−i5-1-1-1-1-1-1111111i5−i5i5−i5i5−i5i5−i5i5−i5i5−i5000000000000000000000000000000000000
χ60444444444-4-4-1-4-4-4-100000000-1-11111−i5−i5i5i5−i5−i5i5i5-1-1-1-1-1-1111111−i5i5−i5i5−i5i5−i5i5−i5i5−i5i5000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.