Finite Group Databasebeta

← Group #13018054

Character table — Group #13018054

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222244444444444444444444888888888888888888888888888820202020202020202020202040408080808080808080
order12222222222222510101010101010101010101010101022441010101010101010101010101010101020202020202020202222444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−i
χ91111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11-11-1
χ101111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-11-11
χ111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111i−ii−i−ii−ii
χ121111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−ii−iii−ii−i
χ131111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11-1-111-1-11
χ141111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-111-1-111-1
χ151111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111i−i−ii−iii−i
χ161111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111−iii−ii−i−ii
χ17222222-2-2-2-200002222222-2-2-2-2-2-2-2-22002-200000000000000002222-2-2-2-222-2-2000022-2-20000000000
χ18222222-2-2-2-200002222222-2-2-2-2-2-2-2-22002-200000000000000002222-2-2-2-2-2-2220000-2-2220000000000
χ19222222-2-2-2-200002222222-2-2-2-2-2-2-2-2200-220000000000000000-2-2-2-2222222-2-20000-2-2220000000000
χ20222222-2-2-2-200002222222-2-2-2-2-2-2-2-2200-220000000000000000-2-2-2-22222-2-222000022-2-20000000000
χ212222-2-222-2-20000222-2-2-2-22222-2-2-2-222-200000000002222-2-2-2-2000000002-22-222-2-200000000000000
χ222222-2-222-2-20000222-2-2-2-22222-2-2-2-222-200000000002222-2-2-2-200000000-22-22-2-22200000000000000
χ232222-2-222-2-20000222-2-2-2-22222-2-2-2-22-220000000000-2-2-2-22222000000002-22-2-2-22200000000000000
χ242222-2-222-2-20000222-2-2-2-22222-2-2-2-22-220000000000-2-2-2-2222200000000-22-2222-2-200000000000000
χ252222-2-2-2-22222-2-2222-2-2-2-2-2-2-2-22222200002222-2-2-2-200000000000000002-2-22000000002-200000000
χ262222-2-2-2-22222-2-2222-2-2-2-2-2-2-2-22222200002222-2-2-2-20000000000000000-222-200000000-2200000000
χ272222-2-2-2-222-2-222222-2-2-2-2-2-2-2-2222220000-2-2-2-2222200000000000000002-2-2200000000-2200000000
χ282222-2-2-2-222-2-222222-2-2-2-2-2-2-2-2222220000-2-2-2-222220000000000000000-222-2000000002-200000000
χ2944444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ3044444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-111111111111111110000000000000000000000
χ314444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-4-411111111-1-1-1-1-1-1-1-1111111110000000000000000000000
χ324444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4441111111111111111-1-1-1-1-1-1-1-10000000000000000000000
χ33444444-4-4-4-40000-1-1-1-1-1-1-111111111-1004-455−5−555−5−555−5−555−5−5-1-1-1-111110000000000000000000000
χ34444444-4-4-4-40000-1-1-1-1-1-1-111111111-1004-4−5−555−5−555−5−555−5−555-1-1-1-111110000000000000000000000
χ35444444-4-4-4-40000-1-1-1-1-1-1-111111111-100-4455−5−555−5−5−5−555−5−5551111-1-1-1-10000000000000000000000
χ36444444-4-4-4-40000-1-1-1-1-1-1-111111111-100-44−5−555−5−55555−5−555−5−51111-1-1-1-10000000000000000000000
χ374444-4-444-4-40000-1-1-11111-1-1-1-11111-14-40055−5−5−5−555-1-1-1-1111155−5−555−5−50000000000000000000000
χ384444-4-444-4-40000-1-1-11111-1-1-1-11111-14-400−5−55555−5−5-1-1-1-11111−5−555−5−5550000000000000000000000
χ394444-4-444-4-40000-1-1-11111-1-1-1-11111-1-440055−5−5−5−5551111-1-1-1-1−5−555−5−5550000000000000000000000
χ404444-4-444-4-40000-1-1-11111-1-1-1-11111-1-4400−5−55555−5−51111-1-1-1-155−5−555−5−50000000000000000000000
χ414444-4-4-4-44444-4-4-1-1-111111111-1-1-1-1-10000-1-1-1-1111155−5−5−5−55555−5−5−5−5550000000000000000000000
χ424444-4-4-4-44444-4-4-1-1-111111111-1-1-1-1-10000-1-1-1-11111−5−55555−5−5−5−55555−5−50000000000000000000000
χ434444-4-4-4-444-4-444-1-1-111111111-1-1-1-1-100001111-1-1-1-155−5−5−5−555−5−55555−5−50000000000000000000000
χ444444-4-4-4-444-4-444-1-1-111111111-1-1-1-1-100001111-1-1-1-1−5−55555−5−555−5−5−5−5550000000000000000000000
χ4544-4-44-40000000044-444-4-400000000-4000000000000000000000000000000000000004i−4i0000000000
χ4644-4-44-40000000044-444-4-400000000-400000000000000000000000000000000000000−4i4i0000000000
χ4744-4-4-440000000044-4-4-44400000000-40000000000000000000000000000000000004i−4i000000000000
χ4844-4-4-440000000044-4-4-44400000000-4000000000000000000000000000000000000−4i4i000000000000
χ494-44-400004-4004-44-4-40000000044-4-44000000004-44-400000000000000000000000000000000000000
χ504-44-400004-4004-4-1115−55−555−5−5-1-111-100005−55−5-11-11−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−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−ζ180000000000000000000000
χ514-44-400004-4004-4-1115−55−555−5−5-1-111-100005−55−5-11-11ζ2−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+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+ζ180000000000000000000000
χ524-44-400004-4004-4-111−55−55−5−555-1-111-10000−55−55-11-11−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−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+ζ180000000000000000000000
χ534-44-400004-4004-4-111−55−55−5−555-1-111-10000−55−55-11-11ζ2+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+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−ζ180000000000000000000000
χ544-44-400004-400-444-4-40000000044-4-4400000000-44-4400000000000000000000000000000000000000
χ554-44-400004-400-44-1115−55−555−5−5-1-111-10000−55−551-11-1−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−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+ζ180000000000000000000000
χ564-44-400004-400-44-1115−55−555−5−5-1-111-10000−55−551-11-1ζ2−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+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−ζ180000000000000000000000
χ574-44-400004-400-44-111−55−55−5−555-1-111-100005−55−51-11-1−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−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000000000000
χ584-44-400004-400-44-111−55−55−5−555-1-111-100005−55−51-11-1ζ2+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+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000000000000
χ594-44-40000-444-4004-4-400000000-4-444400004-4-44000000000000000000000000000000000000000000
χ604-44-40000-444-400-1115−55−5−5−55511-1-1-10000-111-15−5−55−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+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−ζ180000000000000000000000
χ614-44-40000-444-400-1115−55−5−5−55511-1-1-10000-111-15−5−55ζ2+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−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+ζ180000000000000000000000
χ624-44-40000-444-400-111−55−5555−5−511-1-1-10000-111-1−555−5−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+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000000000000
χ634-44-40000-444-400-111−55−5555−5−511-1-1-10000-111-1−555−5ζ2−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−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000000000000
χ644-44-40000-44-44004-4-400000000-4-44440000-444-4000000000000000000000000000000000000000000
χ654-44-40000-44-4400-1115−55−5−5−55511-1-1-100001-1-11−555−5−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−ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ180000000000000000000000
χ664-44-40000-44-4400-1115−55−5−5−55511-1-1-100001-1-11−555−5ζ2+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+ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ180000000000000000000000
χ674-44-40000-44-4400-111−55−5555−5−511-1-1-100001-1-115−5−55−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−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ180000000000000000000000
χ684-44-40000-44-4400-111−55−5555−5−511-1-1-100001-1-115−5−55ζ2−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+ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ180000000000000000000000
χ694-4-44004-40000004-4400004-44-40000-400000000000000000000000000000000004-400000000000000
χ704-4-44004-40000004-4400004-44-40000-40000000000000000000000000000000000-4400000000000000
χ714-4-4400-440000004-440000-44-440000-4000000000000000000000000000000004-40000000000000000
χ724-4-4400-440000004-440000-44-440000-400000000000000000000000000000000-440000000000000000
χ7388-8-88-800000000-2-22-2-22225−25−252525−2525−25200000000000000000000000000000000000000000000000000
χ7488-8-88-800000000-2-22-2-222−252525−25−2525−2525200000000000000000000000000000000000000000000000000
χ7588-8-8-8800000000-2-2222-2-225−25−2525−2525−2525200000000000000000000000000000000000000000000000000
χ7688-8-8-8800000000-2-2222-2-2−252525−2525−2525−25200000000000000000000000000000000000000000000000000
χ778-8-88008-8000000-22-225−25−2525-22-2225−25−2525200000000000000000000000000000000000000000000000000
χ788-8-88008-8000000-22-2−252525−25-22-22−252525−25200000000000000000000000000000000000000000000000000
χ798-8-8800-88000000-22-225−25−25252-22-2−252525−25200000000000000000000000000000000000000000000000000
χ808-8-8800-88000000-22-2−252525−252-22-225−25−2525200000000000000000000000000000000000000000000000000

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