Finite Group Databasebeta

← Group #13017872

Character table — Group #13017872

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112244444444448888888888888888888888888888888888101010102020404040404040404040404040404080808080
order12224422244451010102444101010101010101010102020202020202020202020202020202020202020444444244444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-111-1-11-11-1
χ61111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111-1-111-11-11
χ71111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111ii−i−i−i−iiii−i−ii
χ81111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111−i−iiiii−i−i−iii−i
χ91111111-1-11-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111111111-1-1-1-1
χ101111111-1-11-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ111111111-1-11-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111iiii−i−i−i−i−i−iii
χ121111111-1-11-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111−i−i−i−iiiiiii−i−i
χ131111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-11-11
χ141111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1111-11-1
χ151111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii−iii−i
χ161111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222-222-2-2-222220000-2-22222000022-2-2-2-2-2-20000000000002-22-22-202-2000000000000000
χ18222222-222-2-2-222220000-2-22222000022-2-2-2-2-2-2000000000000-22-22-220-22000000000000000
χ19222222-2-2-2-22222220000-2-2-2-2-2-2000022-2-222220000000000002-22-22-20-22000000000000000
χ20222222-2-2-2-22222220000-2-2-2-2-2-2000022-2-22222000000000000-22-22-2202-2000000000000000
χ212222-2-2200-2002222002-22200000000-2-2-2-2000000002222-2-2-2-22-22-2-2200002-2000000000000
χ222222-2-2200-2002222002-22200000000-2-2-2-2000000002222-2-2-2-2-22-222-20000-22000000000000
χ232222-2-2200-200222200-222200000000-2-2-2-200000000-2-2-2-222222-22-2-220000-22000000000000
χ242222-2-2200-200222200-222200000000-2-2-2-200000000-2-2-2-22222-22-222-200002-2000000000000
χ252222-2-2-20020022222-200-2-200002222-2-2220000-2-2-2-2000000002222-2-2200-200000000000000
χ262222-2-2-20020022222-200-2-200002222-2-2220000-2-2-2-200000000-2-2-2-222-200200000000000000
χ272222-2-2-2002002222-2200-2-20000-2-2-2-2-2-22200002222000000002222-2-2-200200000000000000
χ282222-2-2-2002002222-2200-2-20000-2-2-2-2-2-2220000222200000000-2-2-2-222200-200000000000000
χ29444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ30444444444444-1-1-1-1-4-4-4-4-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ314444444-4-44-4-4-1-1-1-144-4-4-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000
χ324444444-4-44-4-4-1-1-1-1-4-444-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ33444444-444-4-4-4-1-1-1-1000011-1-1-1-155−5−5-1-111111155−5−555−5−555−5−5000000000000000000000000
χ34444444-444-4-4-4-1-1-1-1000011-1-1-1-1−5−555-1-1111111−5−555−5−555−5−555000000000000000000000000
χ35444444-4-4-4-444-1-1-1-1000011111155−5−5-1-111-1-1-1-155−5−5−5−555−5−555000000000000000000000000
χ36444444-4-4-4-444-1-1-1-10000111111−5−555-1-111-1-1-1-1−5−55555−5−555−5−5000000000000000000000000
χ374444-4-4400-400-1-1-1-1004-4-1-155−5−555−5−5111155−5−5−5−555-1-1-1-11111000000000000000000000000
χ384444-4-4400-400-1-1-1-1004-4-1-1−5−555−5−5551111−5−55555−5−5-1-1-1-11111000000000000000000000000
χ394444-4-4400-400-1-1-1-100-44-1-155−5−5−5−555111155−5−555−5−51111-1-1-1-1000000000000000000000000
χ404444-4-4400-400-1-1-1-100-44-1-1−5−55555−5−51111−5−555−5−5551111-1-1-1-1000000000000000000000000
χ414444-4-4-400400-1-1-1-14-4001155−5−5-1-1-1-111-1-1−5−555111155−5−5−5−555000000000000000000000000
χ424444-4-4-400400-1-1-1-14-40011−5−555-1-1-1-111-1-155−5−51111−5−55555−5−5000000000000000000000000
χ434444-4-4-400400-1-1-1-1-44001155−5−5111111-1-1−5−555-1-1-1-1−5−55555−5−5000000000000000000000000
χ444444-4-4-400400-1-1-1-1-440011−5−555111111-1-155−5−5-1-1-1-155−5−5−5−555000000000000000000000000
χ4544-4-40000000044-4-40000000000000000000000000000000000040-4000000002-2002-2000000
χ4644-4-40000000044-4-40000000000000000000000000000000000040-400000000-2200-22000000
χ4744-4-40000000044-4-400000000000000000000000000000000000-404000000002i−2i00−2i2i000000
χ4844-4-40000000044-4-400000000000000000000000000000000000-40400000000−2i2i002i−2i000000
χ494-44-4000000004-44-4000000000000000000000000000000000040-4000000000002-2002-20000
χ504-44-4000000004-44-4000000000000000000000000000000000040-400000000000-2200-220000
χ514-44-4000000004-44-40000000000000000000000000000000000-404000000000002i−2i00−2i2i0000
χ524-44-4000000004-44-40000000000000000000000000000000000-40400000000000−2i2i002i−2i0000
χ534-4-444-400004-44-4-44000000000000004-4004-44-4000000000000000000000000000000000000
χ544-4-444-400004-4-111-100005−55−55−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18-115−5-11-11−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000000
χ554-4-444-400004-4-111-100005−55−55−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18-115−5-11-11ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000000
χ564-4-444-400004-4-111-10000−55−55−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18-11−55-11-11−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000000
χ574-4-444-400004-4-111-10000−55−55−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18-11−55-11-11ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000000
χ584-4-444-40000-444-4-44000000000000004-400-44-44000000000000000000000000000000000000
χ594-4-444-40000-44-111-100005−5−55−55−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18-115−51-11-1−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000000
χ604-4-444-40000-44-111-100005−5−55−55ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18-115−51-11-1ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000000
χ614-4-444-40000-44-111-10000−555−55−5−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18-11−551-11-1−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000000
χ624-4-444-40000-44-111-10000−555−55−5ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18-11−551-11-1ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000000
χ634-4-44-4404-40004-4-440000004-4-440000-44000000000000000000000000000000000000000000
χ644-4-44-4404-4000-111-100005−5-111-1−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ181-1−555−5−55ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000000
χ654-4-44-4404-4000-111-100005−5-111-1ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ181-1−555−5−55−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000000
χ664-4-44-4404-4000-111-10000−55-111-1−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ181-15−5−555−5ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000000
χ674-4-44-4404-4000-111-10000−55-111-1ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ181-15−5−555−5−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000000
χ684-4-44-440-440004-4-44000000-444-40000-44000000000000000000000000000000000000000000
χ694-4-44-440-44000-111-100005−51-1-11−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ181-1−55−555−5ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000000
χ704-4-44-440-44000-111-100005−51-1-11ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ181-1−55−555−5−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000000
χ714-4-44-440-44000-111-10000−551-1-11−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ181-15−55−5−55ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000000
χ724-4-44-440-44000-111-10000−551-1-11ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ181-15−55−5−55−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000000
χ731616-16-1600000000-4-4440000000000000000000000000000000000000000000000000000000000
χ7416-1616-1600000000-44-440000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.