Finite Group Databasebeta

← Group #13016423

Character table — Group #13016423

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222444444444444455558888888888881010101020202020202020202020202020404040401111222244444444444445555888888888888101010102020202020202020202020202040404040
order12224444458888101010202020204444202020204040404040404040224448888888888888888222244444108888101010202020204444202020204040404040404040224448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ61111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii1111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i1111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-1-1-111ii−i−i111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−iii−i−iii−i−i1-11-11111-1-1-1-111ii−i−i111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-111ii−i−i111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−i−i−iii−i−iii-11-111111-1-1-1-111ii−i−i111-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-11ii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-111ii−i−i111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii11-1-1-1-111−iii−i1111-1-1-1-111ii−i−i111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii11-1-1-1-111−iii−i
χ121111-1-1-1-111ii−i−i111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii-1-11111-1-1i−i−ii1111-1-1-1-111ii−i−i111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−i1111-1−i−iii-1-11111-1-1i−i−ii
χ131111-1-1-1-111−i−iii111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iiiii−i−iii−i−i-11-111111-1-1-1-111−i−iii111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iiiii−i−iii−i−i-11-11
χ141111-1-1-1-111−i−iii111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iii−i−iii−i−iii1-11-11111-1-1-1-111−i−iii111-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-11−i−iii−i−iii−i−iii1-11-1
χ151111-1-1-1-111−i−iii111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i11-1-1-1-111i−i−ii1111-1-1-1-111−i−iii111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i11-1-1-1-111i−i−ii
χ161111-1-1-1-111−i−iii111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i-1-11111-1-1−iii−i1111-1-1-1-111−i−iii111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii1111-1ii−i−i-1-11111-1-1−iii−i
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χ18222222-2-2-220000222-2-2-2-2-2-2-2-2-2-2220000000022-2-220000000000000000222222-2-2-220000222-2-2-2-2-2-2-2-2-2-2220000000022-2-220000000000000000
χ192222-2-222-22000022222222222-2-2-2-20000000022-2-2-200000000000000002222-2-222-22000022222222222-2-2-2-20000000022-2-2-20000000000000000
χ202222-2-222-2200002222222-2-2-2-2-2-2-2-200000000-2-222200000000000000002222-2-222-2200002222222-2-2-2-2-2-2-2-200000000-2-22220000000000000000
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χ11488-8-800−8i8i0-20000-2222i2i−2i−2i0000000000000000000000000000000000000-8-888008i−8i0200002-2-2−2i−2i2i2i0000000000000000000000000000000000000
χ1158-8-8800000-2000022-22i5−2i5−2i52i50000000000000000000000000000000000000-888-80000020000-2-22−2i52i52i5−2i50000000000000000000000000000000000000
χ1168-8-8800000-2000022-2−2i52i52i5−2i50000000000000000000000000000000000000-888-80000020000-2-222i5−2i5−2i52i50000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.