Finite Group Databasebeta

← Group #13014804

Character table — Group #13014804

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444444444444488888888888888888888888888881010101010101010202020204040404040404040404040404040404040404040
order12222222444422445101010101010102020202020202020444410101010202020202020202020202020202020202020202044444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1211111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22222-2-200000000000000000000
χ18222222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2-2-22200000000000000000000
χ1922222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000022-2-2-2-222-2-22200000000000000000000
χ2022222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-20000000000000000-2-22222-2-222-2-200000000000000000000
χ2122-22-2-22-22i2i−2i−2i0000222-2-22-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000022-2-200002i−2i0000000000002−2i2−i22−2i2−i2
χ2222-22-2-22-22i2i−2i−2i0000222-2-22-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000022-2-200002i−2i000000000000−22−i2i2−22−i2i2
χ2322-22-2-22-22i2i−2i−2i0000222-2-22-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000-2-2220000−2i2i000000000000i2−i2−22−i2i22−2
χ2422-22-2-22-22i2i−2i−2i0000222-2-22-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000-2-2220000−2i2i000000000000−i2i22−2i2−i2−22
χ2522-22-2-22-2−2i−2i2i2i0000222-2-22-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000022-2-20000−2i2i0000000000002−2−i2i22−2−i2i2
χ2622-22-2-22-2−2i−2i2i2i0000222-2-22-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000022-2-20000−2i2i000000000000−22i2−i2−22i2−i2
χ2722-22-2-22-2−2i−2i2i2i0000222-2-22-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000-2-22200002i−2i000000000000i2−i22−2−i2i2−22
χ2822-22-2-22-2−2i−2i2i2i0000222-2-22-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000-2-22200002i−2i000000000000−i2i2−22i2−i22−2
χ292-22-22-22-22i−2i2i−2i000022-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i00002i−2i2-20000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ302-22-22-22-22i−2i2i−2i000022-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i00002i−2i2-2000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ312-22-22-22-22i−2i2i−2i000022-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i0000−2i2i-220000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000
χ322-22-22-22-22i−2i2i−2i000022-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i0000−2i2i-22000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000
χ332-22-22-22-2−2i2i−2i2i000022-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00002i−2i-220000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000
χ342-22-22-22-2−2i2i−2i2i000022-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00002i−2i-22000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000
χ352-22-22-22-2−2i2i−2i2i000022-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i0000−2i2i2-20000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ362-22-22-22-2−2i2i−2i2i000022-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i0000−2i2i2-2000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ372-2-2222-2-20000002-22-2-2-2-222200000000002-2000022-2-2000000002222-2-2-2-22i−2i2i−2i2i−2i−2i2i0000002i−2i0000000000000000
χ382-2-2222-2-20000002-22-2-2-2-222200000000002-2000022-2-2000000002222-2-2-2-2−2i2i−2i2i−2i2i2i−2i000000−2i2i0000000000000000
χ392-2-2222-2-20000002-22-2-2-2-22220000000000-22000022-2-200000000-2-2-2-222222i−2i2i−2i2i−2i−2i2i000000−2i2i0000000000000000
χ402-2-2222-2-20000002-22-2-2-2-22220000000000-22000022-2-200000000-2-2-2-22222−2i2i−2i2i−2i2i2i−2i0000002i−2i0000000000000000
χ412-2-2222-2-2000000-222-2-2-2-2222000000002-2000000-2-2222222-2-2-2-2000000002i−2i−2i2i−2i2i−2i2i00002i−2i000000000000000000
χ422-2-2222-2-2000000-222-2-2-2-2222000000002-2000000-2-2222222-2-2-2-200000000−2i2i2i−2i2i−2i2i−2i0000−2i2i000000000000000000
χ432-2-2222-2-2000000-222-2-2-2-222200000000-22000000-2-222-2-2-2-22222000000002i−2i−2i2i−2i2i−2i2i0000−2i2i000000000000000000
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χ454444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ464444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ47444444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111111155−5−555−5−555−5−555−5−500000000000000000000000000000000
χ48444444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−5−555−5−555−5−555−5−55500000000000000000000000000000000
χ4944444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1111111110000-1-1-1-1111155−5−555−5−5−5−555−5−55500000000000000000000000000000000
χ5044444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1111111110000-1-1-1-11111−5−555−5−55555−5−555−5−500000000000000000000000000000000
χ5144444444-4-4-4-4-4-444-1-1-1-1-1-1-1-11111111144-4-41111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ5244444444-4-4-4-4-4-444-1-1-1-1-1-1-1-111111111-4-4441111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ53444-4-44-4-400004-4004-444-4-4-4400000000000044-4-40000000000000000000000000000000000000000000000000000
χ54444-4-44-4-400004-400-11-1-1111-15−55−55−55−50000-1-1115−55−5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000000000
χ55444-4-44-4-400004-400-11-1-1111-15−55−55−55−50000-1-1115−55−5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000
χ56444-4-44-4-400004-400-11-1-1111-1−55−55−55−550000-1-111−55−55ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000000000
χ57444-4-44-4-400004-400-11-1-1111-1−55−55−55−550000-1-111−55−55−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000
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χ61444-4-44-4-40000-4400-11-1-1111-1−55−55−55−55000011-1-15−55−5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000
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χ794-4-4-4-44444-4-440000-1-111-111-1-1-11111-1-10000−555−5−555−5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000
χ804-4-4-4-4444-444-4000044-4-44-4-44-4-44444-4-4000000000000000000000000000000000000000000000000000000000000
χ814-4-4-4-4444-444-40000-1-111-111-111-1-1-1-11100005−5−55−555−5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ3800000000000000000000000000000000
χ824-4-4-4-4444-444-40000-1-111-111-111-1-1-1-11100005−5−55−555−5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ3800000000000000000000000000000000
χ834-4-4-4-4444-444-40000-1-111-111-111-1-1-1-1110000−555−55−5−55ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ3800000000000000000000000000000000
χ844-4-4-4-4444-444-40000-1-111-111-111-1-1-1-1110000−555−55−5−55−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ3800000000000000000000000000000000
χ8588-88-8-88-88i8i−8i−8i0000-2-2-222-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000
χ8688-88-8-88-8−8i−8i8i8i0000-2-2-222-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ8788-8-88-8-8800000000-22-22-22-222i5−2i52i5−2i5−2i52i5−2i52i5000000000000000000000000000000000000000000000000000000000000
χ8888-8-88-8-8800000000-22-22-22-22−2i52i5−2i52i52i5−2i52i5−2i5000000000000000000000000000000000000000000000000000000000000
χ898-888-8-8-8800000000-222-2-2-2222i5−2i5−2i52i52i5−2i5−2i52i5000000000000000000000000000000000000000000000000000000000000
χ908-888-8-8-8800000000-222-2-2-222−2i52i52i5−2i5−2i52i52i5−2i5000000000000000000000000000000000000000000000000000000000000
χ918-88-88-88-88i−8i8i−8i0000-2-22-222-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ928-88-88-88-8−8i8i−8i8i0000-2-22-222-222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000

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