Finite Group Databasebeta

← Group #13016173

Character table — Group #13016173

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444444444448888888888888888888888888888101010101010101010101010202020202020202020202020202020202020404040404040404040404040
order12222222222244444451010101010101020202020202020204444101010102020202020202020202020202020202020202020444444444444448888888888888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ81111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii
χ171-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-111-1-111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ181-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111i−ii−i−ii−ii−ii−ii
χ191-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-11ii−i−iii−i−i−i−iii−i−iii−ii−ii-11-111-11-1
χ201-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-11−i−iii−i−iiiii−i−iii−i−i−ii−ii1-11-1-11-11
χ211-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-111-1-111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ221-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111−ii−iii−ii−ii−ii−i
χ231-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-11ii−i−iii−i−i−i−iii−i−iiii−ii−i1-11-1-11-11
χ241-1-1111-1-111-1-111-1-11-1111-1-11-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-11−i−iii−i−iiiii−i−iii−i−ii−ii−i-11-111-11-1
χ251-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−iii−i−ii
χ261-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-11-1-11111-1-1-1-11111-1-1i−i−ii−iii−i−iii−i
χ271-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1111-1ii−i−i−i−iii−i−iiiii−i−i−iii−i-111-11-1-11
χ281-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111i−i−ii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1111-1−i−iiiii−i−iii−i−i−i−iii−iii−i1-1-11-111-1
χ291-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−i−iii−i
χ301-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-11-1-11111-1-1-1-11111-1-1−iii−ii−i−iii−i−ii
χ311-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1111-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii1-1-11-111-1
χ321-1-1111-1-1-1-111-1-1111-1111-1-11-1-1-1-1-1-11111−iii−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1111-1−i−iiiii−i−iii−i−i−i−iiii−i−ii-111-11-1-11
χ33222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000022-2-2-2-2-2-2-2-222220000000000000000000000000000
χ34222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200002222-2-2-2-20000000000000000-2-222222222-2-2-2-20000000000000000000000000000
χ3522222222-2-2-2-22222-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000022-2-22222-2-222-2-20000000000000000000000000000
χ3622222222-2-2-2-22222-2-222222222222222220000-2-2-2-2-2-2-2-20000000000000000-2-222-2-2-2-222-2-2220000000000000000000000000000
χ3722-2-22-22-200002i−2i2i−2i0022-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i002-22-2002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ3822-2-22-22-200002i−2i2i−2i0022-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i002-22-2002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ3922-2-22-22-200002i−2i2i−2i0022-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i00-22-2200−2i2i001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000
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χ4122-2-22-22-20000−2i2i−2i2i0022-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00-22-22002i−2i001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000
χ4222-2-22-22-20000−2i2i−2i2i0022-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00-22-22002i−2i00−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000
χ4322-2-22-22-20000−2i2i−2i2i0022-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i002-22-200−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ4422-2-22-22-20000−2i2i−2i2i0022-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i002-22-200−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ452-22-22-2-2200002i−2i−2i2i0022-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i−2i002-2-2200−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ462-22-22-2-2200002i−2i−2i2i0022-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i−2i002-2-2200−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ472-22-22-2-2200002i−2i−2i2i0022-2-22-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i00-222-2002i−2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ482-22-22-2-2200002i−2i−2i2i0022-2-22-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i00-222-2002i−2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ492-22-22-2-220000−2i2i2i−2i0022-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i00-222-200−2i2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ502-22-22-2-220000−2i2i2i−2i0022-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i00-222-200−2i2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
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χ522-22-22-2-220000−2i2i2i−2i0022-2-22-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−2i2i002-2-22002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ532-2-2222-2-222-2-2-2-222-22222-2-22-2-2-2-2-2-22222000022-2-2-2-22200000000000000002222-2-222-2-2-2-22-20000000000000000000000000000
χ542-2-2222-2-222-2-2-2-222-22222-2-22-2-2-2-2-2-22222000022-2-2-2-2220000000000000000-2-2-2-222-2-22222-220000000000000000000000000000
χ552-2-2222-2-2-2-22222-2-2-22222-2-22-2-22222-2-2-2-20000-2-222-2-2220000000000000000222222-2-2-2-2-2-2-220000000000000000000000000000
χ562-2-2222-2-2-2-22222-2-2-22222-2-22-2-22222-2-2-2-20000-2-222-2-2220000000000000000-2-2-2-2-2-22222222-20000000000000000000000000000
χ57444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ58444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000000000
χ59444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-1111111110000-1-1-1-1111155−5−555−5−555−5−555−5−5000000000000000000000000000000000000000000
χ60444444444444-4-4-4-4-4-4-1-1-1-1-1-1-1-1111111110000-1-1-1-11111−5−555−5−555−5−555−5−555000000000000000000000000000000000000000000
χ6144444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111111155−5−555−5−5−5−555−5−555000000000000000000000000000000000000000000
χ6244444444-4-4-4-44444-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−5−555−5−55555−5−555−5−5000000000000000000000000000000000000000000
χ6344444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-11111111144-4-41111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ6444444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-111111111-4-4441111-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ654444-4-4-4-44-44-40000004-4-4444-4-40000000000004-44-400000000000000000000000000000000000000000000000000000000000000
χ664444-4-4-4-44-44-4000000-111-1-1-1115−55−55−55−50000-11-115−55−5−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ674444-4-4-4-44-44-4000000-111-1-1-1115−55−55−55−50000-11-115−55−5ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ684444-4-4-4-44-44-4000000-111-1-1-111−55−55−55−550000-11-11−55−55ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ694444-4-4-4-44-44-4000000-111-1-1-111−55−55−55−550000-11-11−55−55−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000000000000000000000000
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χ1028-88-88-8-880000−8i8i8i−8i00-2-222-222-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-888-80000000000-22-22-22-222i5−2i5−2i52i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.