Finite Group Databasebeta

← Group #13017059

Character table — Group #13017059

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101044444444444420202020202020202020202044444444202020202020202044888888888888888888888888888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ911111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111
χ1011111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1211111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ171-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11iiii−i−i−i−i1-1i−iiiii−i−i−i−i11-1-11111-1-1-1-1ii−i−i11-1-1i−i11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-11-1i−i
χ181-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11iiii−i−i−i−i1-1i−iiiii−i−i−i−i11-1-11111-1-1-1-1ii−i−i11-1-1i−i-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-1111-1i−i
χ191-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11iiii−i−i−i−i-11−iiiiii−i−i−i−i11-1-11111-1-1-1-1−i−iii-1-111i−i11-1-1ii−i−iii−i−i11-1-1-1-111−i−iii−i−iii-1-111-11−ii
χ201-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11iiii−i−i−i−i-11−iiiiii−i−i−i−i11-1-11111-1-1-1-1−i−iii-1-111i−i-1-111−i−iii−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-11−ii
χ211-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11−i−i−i−iiiii1-1i−iiiii−i−i−i−i11-1-1-1-1-1-11111ii−i−i11-1-1−iiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iii-11−ii
χ221-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11−i−i−i−iiiii1-1i−iiiii−i−i−i−i11-1-1-1-1-1-11111ii−i−i11-1-1−ii−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i-11−ii
χ231-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11−i−i−i−iiiii-11−iiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii-1-111−iiii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-1-111ii−i−i1-1i−i
χ241-1-1111-1-1iiii−i−i−i−i1-1111-1-1-1-11−i−i−i−iiiii-11−iiiiii−i−i−i−i11-1-1-1-1-1-11111−i−iii-1-111−ii−i−iii11-1-1-1-111ii−i−iii−i−i-1-11111-1-1−i−iii1-1i−i
χ251-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11iiii−i−i−i−i1-1−ii−i−i−i−iiiii11-1-1-1-1-1-11111−i−iii11-1-1i−iii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iii-11i−i
χ261-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11iiii−i−i−i−i1-1−ii−i−i−i−iiiii11-1-1-1-1-1-11111−i−iii11-1-1i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i-11i−i
χ271-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11iiii−i−i−i−i-11i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i-1-111i−iii−i−i11-1-1-1-111−i−iii−i−iii-1-11111-1-1ii−i−i1-1−ii
χ281-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11iiii−i−i−i−i-11i−i−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i-1-111i−i−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-1-111−i−iii1-1−ii
χ291-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11−i−i−i−iiiii1-1−ii−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii11-1-1−ii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-11-1−ii
χ301-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11−i−i−i−iiiii1-1−ii−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii11-1-1−ii-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-1111-1−ii
χ311-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11−i−i−i−iiiii-11i−i−i−i−i−iiiii11-1-11111-1-1-1-1ii−i−i-1-111−ii11-1-1−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i-1-111-11i−i
χ321-1-1111-1-1−i−i−i−iiiii1-1111-1-1-1-11−i−i−i−iiiii-11i−i−i−i−i−iiiii11-1-11111-1-1-1-1ii−i−i-1-111−ii-1-111ii−i−iii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-11i−i
χ332222222222-2-222-2-2-2-22222222222222222000022-2-222-2-2-2-2-2-222-2-222-2-200000000-2-2000000000000000000000000000000000000
χ342222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-222-2-2-2-2-2-2-2-222-2-2220000000022000000000000000000000000000000000000
χ3522222222-2-222-2-222-2-222222222222222220000-2-222-2-222-2-2-2-2-2-222-2-22200000000-2-2000000000000000000000000000000000000
χ3622222222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000-2-222-2-222-2-2-2-222-2-222-2-20000000022000000000000000000000000000000000000
χ3722-2-22-22-2002i−2i002i−2i0022-2-22-22-222-2-222-2-20000002i−2i002i−2i0000002i−2i002i−2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000
χ3822-2-22-22-2002i−2i002i−2i0022-2-22-22-222-2-222-2-20000002i−2i002i−2i0000002i−2i002i−2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000
χ3922-2-22-22-2002i−2i002i−2i0022-2-22-22-2-2-222-2-2220000002i−2i002i−2i000000−2i2i00−2i2i00000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000000000000000
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χ4122-2-22-22-200−2i2i00−2i2i0022-2-22-22-222-2-222-2-2000000−2i2i00−2i2i000000−2i2i00−2i2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000
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χ4422-2-22-22-200−2i2i00−2i2i0022-2-22-22-2-2-222-2-222000000−2i2i00−2i2i0000002i−2i002i−2i0000000000−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000000000000000
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χ4722-2-2-22-222-2002-200002-2222-2-2-2−2i2i−2i2i−2i2i−2i2i00002-2002-2000000−2i2i00−2i2i00000000000000000000000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000
χ4822-2-2-22-222-2002-200002-2222-2-2-2−2i2i−2i2i−2i2i−2i2i00002-2002-2000000−2i2i00−2i2i0000000000000000000000000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000
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χ5122-2-2-22-22-2200-2200002-2222-2-2-2−2i2i−2i2i−2i2i−2i2i0000-2200-220000002i−2i002i−2i00000000000000000000000000001−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i0000
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χ542-22-22-2-22002-200-220022-22-22-2-22i2i−2i−2i−2i−2i2i2i0000002-200-22000000−2i2i002i−2i0000000000−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00000000000000000000
χ552-22-22-2-22002-200-220022-22-22-2-2−2i−2i2i2i2i2i−2i−2i0000002-200-220000002i−2i00−2i2i00000000001+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00000000000000000000
χ562-22-22-2-22002-200-220022-22-22-2-2−2i−2i2i2i2i2i−2i−2i0000002-200-220000002i−2i00−2i2i0000000000−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00000000000000000000
χ572-22-22-2-2200-22002-20022-22-22-2-22i2i−2i−2i−2i−2i2i2i000000-22002-20000002i−2i00−2i2i00000000001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i00000000000000000000
χ582-22-22-2-2200-22002-20022-22-22-2-22i2i−2i−2i−2i−2i2i2i000000-22002-20000002i−2i00−2i2i0000000000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i00000000000000000000
χ592-22-22-2-2200-22002-20022-22-22-2-2−2i−2i2i2i2i2i−2i−2i000000-22002-2000000−2i2i002i−2i00000000001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i00000000000000000000
χ602-22-22-2-2200-22002-20022-22-22-2-2−2i−2i2i2i2i2i−2i−2i000000-22002-2000000−2i2i002i−2i0000000000−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i00000000000000000000
χ612-22-2-222-22i−2i00−2i2i00002-22-2-222-22-22-2-22-2200002i−2i00−2i2i000000−2i2i002i−2i00000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
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χ652-22-2-222-2−2i2i002i−2i00002-22-2-222-22-22-2-22-220000−2i2i002i−2i0000002i−2i00−2i2i00000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
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χ692-2-2222-2-22i2i−2i−2i−2i−2i2i2i-22222-2-2-2-222i2i2i2i−2i−2i−2i−2i00002i2i−2i−2i−2i−2i2i2i-2-22222-2-2-2-22200000000−2i2i000000000000000000000000000000000000
χ702-2-2222-2-22i2i−2i−2i−2i−2i2i2i-22222-2-2-2-22−2i−2i−2i−2i2i2i2i2i00002i2i−2i−2i−2i−2i2i2i-2-222-2-22222-2-2000000002i−2i000000000000000000000000000000000000
χ712-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-22222-2-2-2-222i2i2i2i−2i−2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i-2-222-2-22222-2-200000000−2i2i000000000000000000000000000000000000
χ722-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-22222-2-2-2-22−2i−2i−2i−2i2i2i2i2i0000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2-2-222000000002i−2i000000000000000000000000000000000000
χ73444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ74444444444444444444-1-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000000000000000000000000000000000
χ754444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-1000000000000-1-111-1-1111111000000005−55−55−55−500000000000000000000000000000000000000
χ764444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-1000000000000-1-111-1-111111100000000−55−55−55−5500000000000000000000000000000000000000
χ7744444444-4-444-4-444-4-4-1-1-1-1-1-1-1-100000000000011-1-111-1-11111000000005−55−5−55−5500000000000000000000000000000000000000
χ7844444444-4-444-4-444-4-4-1-1-1-1-1-1-1-100000000000011-1-111-1-1111100000000−55−555−55−500000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-10000000044-4-411111111-1-1-1-1000000001111-1-1-1-100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-4-44411111111-1-1-1-100000000-1-1-1-1111100000000000000000000000000000000000000
χ814444-4-4-4-400000000004-4-4-444-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-400000000004-4-4-444-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ834-4-4444-4-44i4i4i4i−4i−4i−4i−4i4-4-1-1-11111-1000000004-44i−4i−i−i−i−iiiii-1-11100000000−i−iii-1-11100000000000000000000000000000000000000
χ844-4-4444-4-44i4i4i4i−4i−4i−4i−4i4-4-1-1-11111-100000000-44−4i4i−i−i−i−iiiii-1-11100000000ii−i−i11-1-100000000000000000000000000000000000000
χ854-4-4444-4-44i4i−4i−4i−4i−4i4i4i-44-1-1-11111-1000000000000−i−iiiii−i−i11-1-100000000i5−i5−i5i55−5−5500000000000000000000000000000000000000
χ864-4-4444-4-44i4i−4i−4i−4i−4i4i4i-44-1-1-11111-1000000000000−i−iiiii−i−i11-1-100000000−i5i5i5−i5−555−500000000000000000000000000000000000000
χ874-4-4444-4-4−4i−4i4i4i4i4i−4i−4i-44-1-1-11111-1000000000000ii−i−i−i−iii11-1-100000000i5−i5−i5i5−555−500000000000000000000000000000000000000
χ884-4-4444-4-4−4i−4i4i4i4i4i−4i−4i-44-1-1-11111-1000000000000ii−i−i−i−iii11-1-100000000−i5i5i5−i55−5−5500000000000000000000000000000000000000
χ894-4-4444-4-4−4i−4i−4i−4i4i4i4i4i4-4-1-1-11111-1000000004-4−4i4iiiii−i−i−i−i-1-11100000000ii−i−i-1-11100000000000000000000000000000000000000
χ904-4-4444-4-4−4i−4i−4i−4i4i4i4i4i4-4-1-1-11111-100000000-444i−4iiiii−i−i−i−i-1-11100000000−i−iii11-1-100000000000000000000000000000000000000
χ914-4-44-4-44400000000004-4-44-4-4444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-44400000000004-4-44-4-444-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ938888-8-8-8-80000000000-2222-2-22-20000000000000000000025−2525−25000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-80000000000-2222-2-22-200000000000000000000−2525−2525000000000000000000000000000000000000000000000000000000
χ9588-8-88-88-8008i−8i008i−8i00-2-222-22-2200000000000000−2i2i00−2i2i0000000000000000000000000000000000000000000000000000000000
χ9688-8-88-88-800−8i8i00−8i8i00-2-222-22-22000000000000002i−2i002i−2i0000000000000000000000000000000000000000000000000000000000
χ9788-8-8-88-888-8008-80000-22-2-2-2222000000000000-2200-22000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-88-88-8800-880000-22-2-2-22220000000000002-2002-2000000000000000000000000000000000000000000000000000000000000
χ998-88-88-8-88008-800-8800-2-22-22-22200000000000000-22002-20000000000000000000000000000000000000000000000000000000000
χ1008-88-88-8-8800-88008-800-2-22-22-222000000000000002-200-220000000000000000000000000000000000000000000000000000000000
χ1018-88-8-888-88i−8i00−8i8i0000-22-222-2-22000000000000−2i2i002i−2i000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-888-8−8i8i008i−8i0000-22-222-2-220000000000002i−2i00−2i2i000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-8-8880000000000-222-222-2-20000000000000000000025−25−2525000000000000000000000000000000000000000000000000000000
χ1048-8-88-8-8880000000000-222-222-2-200000000000000000000−252525−25000000000000000000000000000000000000000000000000000000

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