Finite Group Databasebeta

← Group #13017828

Character table — Group #13017828

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112244444444448888888888888888888888888888888888101010102020404040404040404040404040404080808080
order12222244444451010102244101010101010101010102020202020202020202020202020202020202020222244444444444444448888
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
χ51111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1
χ61111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−iii
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiii−i−i
χ911111111-1-1-1-111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiii−i−ii
χ1211111111-1-1-1-111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−iii−i
χ1311111111-1-1-1-11111-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-11-11
χ1411111111-1-1-1-11111-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-11-1
χ1511111111-1-1-1-11111-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−i−i−iii−iii−i
χ1611111111-1-1-1-11111-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−i−iiiii−i−ii−i−ii
χ17222222-2-222-2-2222200002200000000-2-2-2-22222-2-2-2-2000000002222-2-200002-2000000000000
χ18222222-2-222-2-2222200002200000000-2-2-2-22222-2-2-2-200000000-2-2-2-2220000-22000000000000
χ19222222-2-2-2-222222200002200000000-2-2-2-2-2-2-2-22222000000002222-2-20000-22000000000000
χ20222222-2-2-2-222222200002200000000-2-2-2-2-2-2-2-2222200000000-2-2-2-22200002-2000000000000
χ212222-2-22-200002222020-2-2-20000222222-2-2000000000000-2-2-2-22-22-22-2002-200000000000000
χ222222-2-22-200002222020-2-2-20000222222-2-2000000000000-2-2-2-2-22-22-2200-2200000000000000
χ232222-2-22-2000022220-202-2-20000-2-2-2-222-2-200000000000022222-22-22-200-2200000000000000
χ242222-2-22-2000022220-202-2-20000-2-2-2-222-2-20000000000002222-22-22-22002-200000000000000
χ252222-2-2-220000222220-20-2-222220000-2-22200000000-2-2-2-200002-22-2-222-20000000000000000
χ262222-2-2-220000222220-20-2-222220000-2-22200000000-2-2-2-20000-22-222-2-220000000000000000
χ272222-2-2-2200002222-2020-2-2-2-2-2-20000-2-22200000000222200002-22-2-22-220000000000000000
χ282222-2-2-2200002222-2020-2-2-2-2-2-20000-2-2220000000022220000-22-222-22-20000000000000000
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
χ30444444444444-1-1-1-1-4-4-4-4-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3144444444-4-4-4-4-1-1-1-14-44-4-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111000000000000000000000000
χ3244444444-4-4-4-4-1-1-1-1-44-44-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000000000
χ33444444-4-444-4-4-1-1-1-10000-1-155−5−555−5−51111-1-1-1-1111155−5−555−5−5000000000000000000000000
χ34444444-4-444-4-4-1-1-1-10000-1-1−5−555−5−5551111-1-1-1-11111−5−555−5−555000000000000000000000000
χ35444444-4-4-4-444-1-1-1-10000-1-155−5−5−5−55511111111-1-1-1-155−5−5−5−555000000000000000000000000
χ36444444-4-4-4-444-1-1-1-10000-1-1−5−55555−5−511111111-1-1-1-1−5−55555−5−5000000000000000000000000
χ374444-4-44-40000-1-1-1-1040-41155−5−5-1-1-1-1-1-11155−5−555−5−5−5−5551111000000000000000000000000
χ384444-4-44-40000-1-1-1-1040-411−5−555-1-1-1-1-1-111−5−555−5−55555−5−51111000000000000000000000000
χ394444-4-44-40000-1-1-1-10-4041155−5−51111-1-111−5−555−5−555−5−555-1-1-1-1000000000000000000000000
χ404444-4-44-40000-1-1-1-10-40411−5−5551111-1-11155−5−555−5−555−5−5-1-1-1-1000000000000000000000000
χ414444-4-4-440000-1-1-1-140-4011-1-1-1-155−5−511-1-155−5−5−5−5551111−5−555000000000000000000000000
χ424444-4-4-440000-1-1-1-140-4011-1-1-1-1−5−55511-1-1−5−55555−5−5111155−5−5000000000000000000000000
χ434444-4-4-440000-1-1-1-1-404011111155−5−511-1-1−5−55555−5−5-1-1-1-1−5−555000000000000000000000000
χ444444-4-4-440000-1-1-1-1-4040111111−5−55511-1-155−5−5−5−555-1-1-1-155−5−5000000000000000000000000
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
χ534-4-444-400004-44-4-4400004-400000000000000004-44-400000000000000000000000000000000
χ544-4-444-400004-4-111-10000-11−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−ζ185−55−55−55−5-11-11−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−ζ18000000000000000000000000
χ554-4-444-400004-4-111-10000-11−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−ζ18−55−55−55−55-11-11−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−ζ18000000000000000000000000
χ564-4-444-400004-4-111-10000-11ζ2−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+ζ185−55−55−55−5-11-11ζ2−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+ζ18000000000000000000000000
χ574-4-444-400004-4-111-10000-11ζ2+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+ζ18−55−55−55−55-11-11ζ2+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+ζ18000000000000000000000000
χ584-4-444-40000-444-4-4400004-40000000000000000-44-4400000000000000000000000000000000
χ594-4-444-40000-44-111-10000-11−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+ζ185−55−5−55−551-11-1−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+ζ18000000000000000000000000
χ604-4-444-40000-44-111-10000-11−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+ζ18−55−555−55−51-11-1−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+ζ18000000000000000000000000
χ614-4-444-40000-44-111-10000-11ζ2−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−ζ185−55−5−55−551-11-1ζ2−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−ζ18000000000000000000000000
χ624-4-444-40000-44-111-10000-11ζ2+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−ζ18−55−555−55−51-11-1ζ2+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−ζ18000000000000000000000000
χ634-4-44-44004-4004-4-440000-440000000000004-4-44000000000000000000000000000000000000
χ644-4-44-44004-400-111-100001-1−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−ζ18−555−5-111-1−555−5ζ2−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+ζ18000000000000000000000000
χ654-4-44-44004-400-111-100001-1−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+ζ185−5−55-111-15−5−55ζ2+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−ζ18000000000000000000000000
χ664-4-44-44004-400-111-100001-1ζ2−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+ζ18−555−5-111-1−555−5−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−ζ18000000000000000000000000
χ674-4-44-44004-400-111-100001-1ζ2+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−ζ185−5−55-111-15−5−55−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+ζ18000000000000000000000000
χ684-4-44-4400-44004-4-440000-44000000000000-444-4000000000000000000000000000000000000
χ694-4-44-4400-4400-111-100001-1−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+ζ18−555−51-1-115−5−55ζ2−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−ζ18000000000000000000000000
χ704-4-44-4400-4400-111-100001-1−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−ζ185−5−551-1-11−555−5ζ2+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+ζ18000000000000000000000000
χ714-4-44-4400-4400-111-100001-1ζ2−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−ζ18−555−51-1-115−5−55−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+ζ18000000000000000000000000
χ724-4-44-4400-4400-111-100001-1ζ2+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+ζ185−5−551-1-11−555−5−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−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.