Finite Group Databasebeta

← Group #13022503

Character table — Group #13022503

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122222224444558888888888881010101010101016161616161616161616161640404040404040404040404040404040404040404040
order12222444451010102224448810102020202022244441010202020202020404040402444444488888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111-1-111-1-11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i-1-1ii−i−iii−i−iii−i−i
χ101111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iii-1-1−i−iii−i−iii−i−iii
χ111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−i11ii−i−i−i−iii−i−iii
χ121111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−i−iii11−i−iiiii−i−iii−i−i
χ131111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−i11−i−iiiii−i−i−i−iii
χ141111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii11ii−i−i−i−iiiii−i−i
χ151111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1−i−iii−i−iiiii−i−i
χ161111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1ii−i−iii−i−i−i−iii
χ1722222-2-2-2-222222200000022-2-2-2-2222-2-2-2-20000000000000000000000000000002i−2i2i−2i
χ1822222-2-2-2-222222200000022-2-2-2-2222-2-2-2-2000000000000000000000000000000−2i2i−2i2i
χ1922222-2-2-2-22222-2-200000022-2-2-2-2-2-2-222220000000000000000000000000000002-2-22
χ2022222-2-2-2-22222-2-200000022-2-2-2-2-2-2-22222000000000000000000000000000000-222-2
χ21222-2-222-2-2222222000000-2-222-2-22-2-222-2-2000000000000000000000000002i−2i2i−2i0000
χ22222-2-222-2-2222222000000-2-222-2-22-2-222-2-200000000000000000000000000−2i2i−2i2i0000
χ23222-2-222-2-22222-2-2000000-2-222-2-2-222-2-222000000000000000000000000002-2-220000
χ24222-2-222-2-22222-2-2000000-2-222-2-2-222-2-22200000000000000000000000000-222-20000
χ25222-2-2-2-2222222222-20000-2-2-2-2222-2-2-2-22222-2-2000000002-200000000000000000000
χ26222-2-2-2-222222222-220000-2-2-2-2222-2-2-2-222-2-22200000000-2200000000000000000000
χ27222-2-2-2-2222222-2-22-20000-2-2-2-222-22222-2-222-2-200000000-2200000000000000000000
χ28222-2-2-2-2222222-2-2-220000-2-2-2-222-22222-2-2-2-222000000002-200000000000000000000
χ2922-22-22-22-22-2-22220000002-22-22-2-22-22-22-200000000000000002i−2i2i−2i00000000000000
χ3022-22-22-22-22-2-22220000002-22-22-2-22-22-22-20000000000000000−2i2i−2i2i00000000000000
χ3122-22-22-22-22-2-22-2-20000002-22-22-22-22-22-2200000000000000002-2-2200000000000000
χ3222-22-22-22-22-2-22-2-20000002-22-22-22-22-22-220000000000000000-222-200000000000000
χ3322-22-2-22-222-2-222200002-22-2-22-22-22-2-22-220000000022-2-2000000002-2000000000000
χ3422-22-2-22-222-2-22220000-222-2-22-22-22-2-22-2200000000-2-22200000000-22000000000000
χ3522-22-2-22-222-2-22-2-200002-22-2-22-222-222-22-20000000022-2-200000000-22000000000000
χ3622-22-2-22-222-2-22-2-20000-222-2-22-222-222-22-200000000-2-222000000002-2000000000000
χ3722-2-222-2-222-2-2222002-200-222-2-22-2-222-2-22000022-2-20000002-2000000000000000000
χ3822-2-222-2-222-2-222200-2200-222-2-22-2-222-2-220000-2-222000000-22000000000000000000
χ3922-2-222-2-222-2-22-2-2002-200-222-2-2222-2-222-2000022-2-2000000-22000000000000000000
χ4022-2-222-2-222-2-22-2-200-2200-222-2-2222-2-222-20000-2-2220000002-2000000000000000000
χ4122-2-22-222-22-2-2222000000-22-222-2-2-22-222-200000000000000000000002-22-200000000
χ4222-2-22-222-22-2-2222000000-22-222-2-2-22-222-20000000000000000000000-22-2200000000
χ4322-2-22-222-22-2-22-2-2000000-22-222-222-22-2-2200000000000000000000002i−2i−2i2i00000000
χ4422-2-22-222-22-2-22-2-2000000-22-222-222-22-2-220000000000000000000000−2i2i2i−2i00000000
χ45444444444-1-1-1-100444444-1-1-1-1-1-10000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ46444444444-1-1-1-10044-4-4-4-4-1-1-1-1-1-10000000-1-1-1-1111111110000000000000000000000
χ47444444444-1-1-1-100-4-444-4-4-1-1-1-1-1-100000001111-1-1-1-111110000000000000000000000
χ48444444444-1-1-1-100-4-4-4-444-1-1-1-1-1-1000000011111111-1-1-1-10000000000000000000000
χ49444-4-4-4-444-1-1-1-1004-400001111-1-10000000-1-1115−55−55−55−50000000000000000000000
χ50444-4-4-4-444-1-1-1-1004-400001111-1-10000000-1-111−55−55−55−550000000000000000000000
χ51444-4-4-4-444-1-1-1-100-4400001111-1-1000000011-1-15−55−5−55−550000000000000000000000
χ52444-4-4-4-444-1-1-1-100-4400001111-1-1000000011-1-1−55−555−55−50000000000000000000000
χ5344-44-4-44-44-111-10000004-4-111-11-100000005−55−55−5−55-1-1110000000000000000000000
χ5444-44-4-44-44-111-10000004-4-111-11-10000000−55−55−555−5-1-1110000000000000000000000
χ5544-44-4-44-44-111-1000000-44-111-11-100000005−55−5−555−511-1-10000000000000000000000
χ5644-44-4-44-44-111-1000000-44-111-11-10000000−55−555−5−5511-1-10000000000000000000000
χ5744-4-444-4-44-111-100004-4001-1-111-100000005−5−55-1-1115−5−550000000000000000000000
χ5844-4-444-4-44-111-100004-4001-1-111-10000000−555−5-1-111−555−50000000000000000000000
χ5944-4-444-4-44-111-10000-44001-1-111-100000005−5−5511-1-1−555−50000000000000000000000
χ6044-4-444-4-44-111-10000-44001-1-111-10000000−555−511-1-15−5−550000000000000000000000
χ6188888-8-8-8-8-2-2-2-200000000-2-2222200000000000000000000000000000000000000000
χ62888-8-888-8-8-2-2-2-20000000022-2-22200000000000000000000000000000000000000000
χ6388-88-88-88-8-222-200000000-22-22-2200000000000000000000000000000000000000000
χ6488-8-88-888-8-222-2000000002-22-2-2200000000000000000000000000000000000000000
χ658-80000000800-88-800000000000000000000000000000000000000000000000000000
χ668-80000000800-8-8800000000000000000000000000000000000000000000000000000
χ6716-160000000-445−4540000000000000000000000000000000000000000000000000000000
χ6816-160000000-4−454540000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).