Finite Group Databasebeta

← Group #13022455

Character table — Group #13022455

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122222224444558888888888881010101010101016161616161616161616161640404040404040404040404040404040404040404040
order12222444451010104424444410102020202022224441010202020202020202020202224444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ8111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-111ii−i−i−i−iiiii−i−i−i−iii
χ121111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-111−i−iiiii−i−i−i−iiiii−i−i
χ131111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111ii−i−i−i−iii−i−iiiii−i−i
χ141111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111−i−iiiii−i−iii−i−i−i−iii
χ151111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ161111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ1722222-2-2-2-222222200002-222-2-2-2-2-2-2-2-22220022-2-200000000002-20000000000000000
χ1822222-2-2-2-22222220000-2222-2-2-2-2-2-2-2-222200-2-2220000000000-220000000000000000
χ1922222-2-2-2-22222-2-200002-222-2-2-2-22222-2-2-20022-2-20000000000-220000000000000000
χ2022222-2-2-2-22222-2-20000-2222-2-2-2-22222-2-2-200-2-22200000000002-20000000000000000
χ21222-2-222-2-22-2-22220000002-222-2-222-2-22-2-20000000000000000000000000000002i−2i2i−2i
χ22222-2-222-2-22-2-22220000002-222-2-222-2-22-2-2000000000000000000000000000000−2i2i−2i2i
χ23222-2-222-2-22-2-22-2-20000002-222-2-2-2-222-2220000000000000000000000000000002-2-22
χ24222-2-222-2-22-2-22-2-20000002-222-2-2-2-222-222000000000000000000000000000000-222-2
χ25222-2-2-2-2222-2-22220000002-2-2-222-2-2222-2-2000000000000000000000000002-22-20000
χ26222-2-2-2-2222-2-22220000002-2-2-222-2-2222-2-200000000000000000000000000-22-220000
χ27222-2-2-2-2222-2-22-2-20000002-2-2-22222-2-2-222000000000000000000000000002i−2i−2i2i0000
χ28222-2-2-2-2222-2-22-2-20000002-2-2-22222-2-2-22200000000000000000000000000−2i2i2i−2i0000
χ2922-22-22-22-22-2-2222000000-222-22-22-22-2-2-2200000000000000000000002-22-200000000
χ3022-22-22-22-22-2-2222000000-222-22-22-22-2-2-220000000000000000000000-22-2200000000
χ3122-22-22-22-22-2-22-2-2000000-222-22-2-22-2222-200000000000000000000002i−2i−2i2i00000000
χ3222-22-22-22-22-2-22-2-2000000-222-22-2-22-2222-20000000000000000000000−2i2i2i−2i00000000
χ3322-22-2-22-222-2-2222000000-22-22-22-22-22-2-220000000000000000002-22-2000000000000
χ3422-22-2-22-222-2-2222000000-22-22-22-22-22-2-22000000000000000000-22-22000000000000
χ3522-22-2-22-222-2-22-2-2000000-22-22-222-22-222-20000000000000000002i−2i−2i2i000000000000
χ3622-22-2-22-222-2-22-2-2000000-22-22-222-22-222-2000000000000000000−2i2i2i−2i000000000000
χ3722-2-222-2-222222222-20000-2-22-2-222-2-22-22-2220000-2-20000-2002000000000000000000
χ3822-2-222-2-22222222-220000-2-22-2-222-2-22-22-2-2-20000220000200-2000000000000000000
χ3922-2-222-2-222222-2-22-20000-2-22-2-22-222-22-22220000-2-20000200-2000000000000000000
χ4022-2-222-2-222222-2-2-220000-2-22-2-22-222-22-22-2-20000220000-2002000000000000000000
χ4122-2-22-222-2222222002-200-2-2-222-2-222-2-22-20000000022-2-202-20000000000000000000
χ4222-2-22-222-222222200-2200-2-2-222-2-222-2-22-200000000-2-2220-220000000000000000000
χ4322-2-22-222-22222-2-2002-200-2-2-222-22-2-222-220000000022-2-20-220000000000000000000
χ4422-2-22-222-22222-2-200-2200-2-2-222-22-2-222-2200000000-2-22202-20000000000000000000
χ45444444444-1-1-1-100444444-1-1-1-1-1-10000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ46444444444-1-1-1-10044-4-4-4-4-1-1-1-1-1-10000000-1-11111-1-111110000000000000000000000
χ47444444444-1-1-1-100-4-444-4-4-1-1-1-1-1-1000000011111111-1-1-1-10000000000000000000000
χ48444444444-1-1-1-100-4-4-4-444-1-1-1-1-1-1000000011-1-1-1-11111110000000000000000000000
χ4944444-4-4-4-4-1-1-1-10000004-4-1-1111100000005−5-1-1115−55−55−50000000000000000000000
χ5044444-4-4-4-4-1-1-1-10000004-4-1-111110000000−55-1-111−55−55−550000000000000000000000
χ5144444-4-4-4-4-1-1-1-1000000-44-1-1111100000005−511-1-15−5−55−550000000000000000000000
χ5244444-4-4-4-4-1-1-1-1000000-44-1-111110000000−5511-1-1−555−55−50000000000000000000000
χ5344-4-444-4-44-1-1-1-1004-4000011-111-10000000-1-15−55−5115−5−550000000000000000000000
χ5444-4-444-4-44-1-1-1-1004-4000011-111-10000000-1-1−55−5511−555−50000000000000000000000
χ5544-4-444-4-44-1-1-1-100-44000011-111-10000000115−55−5-1-1−555−50000000000000000000000
χ5644-4-444-4-44-1-1-1-100-44000011-111-1000000011−55−55-1-15−5−550000000000000000000000
χ5744-4-44-444-4-1-1-1-100004-400111-1-1100000005−55−5−55−55-1-1110000000000000000000000
χ5844-4-44-444-4-1-1-1-100004-400111-1-110000000−55−555−55−5-1-1110000000000000000000000
χ5944-4-44-444-4-1-1-1-10000-4400111-1-1100000005−5−555−5−5511-1-10000000000000000000000
χ6044-4-44-444-4-1-1-1-10000-4400111-1-110000000−555−5−555−511-1-10000000000000000000000
χ61888-8-888-8-8-222-200000000-22-2-22200000000000000000000000000000000000000000
χ62888-8-8-8-888-222-200000000-2222-2-200000000000000000000000000000000000000000
χ6388-88-88-88-8-222-2000000002-2-22-2200000000000000000000000000000000000000000
χ6488-88-8-88-88-222-2000000002-22-22-200000000000000000000000000000000000000000
χ658-80000000800-88i−8i00000000000000000000000000000000000000000000000000000
χ668-80000000800-8−8i8i00000000000000000000000000000000000000000000000000000
χ6716-160000000-445−4540000000000000000000000000000000000000000000000000000000
χ6816-160000000-4−454540000000000000000000000000000000000000000000000000000000

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