Finite Group Databasebeta

← Group #13026942

Character table — Group #13026942

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122244444444888881010101010101616161616161620202020202020202020202020202020202020202032323232808080808080
order122442458888101020204040224488281020404040248881616161616161616161616161616161610104040444888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1
χ3111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ5111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1i−i-1i−i
χ6111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1−ii-1−ii
χ7111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11−ii1−ii
χ8111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11i−i1i−i
χ911111-1-1111-1-11111111111111-1-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-1
χ1011111-1-1111-1-11111111111111-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-111
χ1111111-1-1111-1-1111111111111-11-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1111
χ1211111-1-1111-1-1111111111111-11-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1111-1-1
χ1311111-1-1111-1-1111111-1-1-1-1-1-11-1-1-11-1-111-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1i−i1−ii
χ1411111-1-1111-1-1111111-1-1-1-1-1-11-1-1-11-1-111-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1−ii1i−i
χ1511111-1-1111-1-1111111-1-1-1-1-1-1-11-1-11-1-111-111iiii−i−i−i−i−i−i−i−iiiii-1-1111−ii-1i−i
χ1611111-1-1111-1-1111111-1-1-1-1-1-1-11-1-11-1-111-111−i−i−i−iiiiiiiii−i−i−i−i-1-1111i−i-1−ii
χ1722222222-2-2-2-22222-2-22222-2-20022-2-2-222-2-2-200000000000000000000000000
χ1822222222-2-2-2-22222-2-2-2-2-2-2220022-2-2-2-2-222200000000000000000000000000
χ1922222-2-22-2-2222222-2-22222-2-200-2-2-222-2-2-22200000000000000000000000000
χ2022222-2-22-2-2222222-2-2-2-2-2-22200-2-2-222222-2-200000000000000000000000000
χ21222-2-2002002i−2i22-2-20022-2-200000002i−2i0002i−2i22−2−2i2i2−i2−i222−2−2i2i2−i2−i20000000000
χ22222-2-2002002i−2i22-2-20022-2-200000002i−2i0002i−2i−2−222−i2−i2i2i2−2−222−i2−i2i2i20000000000
χ23222-2-2002002i−2i22-2-200-2-22200000002i−2i000−2i2ii2i2−i2−i2−2−222−i2−i2i2i222−2−20000000000
χ24222-2-2002002i−2i22-2-200-2-22200000002i−2i000−2i2i−i2−i2i2i222−2−2i2i2−i2−i2−2−2220000000000
χ25222-2-200200−2i2i22-2-20022-2-20000000−2i2i000−2i2i22−2−2−i2−i2i2i222−2−2−i2−i2i2i20000000000
χ26222-2-200200−2i2i22-2-20022-2-20000000−2i2i000−2i2i−2−222i2i2−i2−i2−2−222i2i2−i2−i20000000000
χ27222-2-200200−2i2i22-2-200-2-2220000000−2i2i0002i−2ii2i2−i2−i222−2−2−i2−i2i2i2−2−2220000000000
χ28222-2-200200−2i2i22-2-200-2-2220000000−2i2i0002i−2i−i2−i2i2i2−2−222i2i2−i2−i222−2−20000000000
χ2922-22-20022-2002-22-2222-2-22-2-20000-200002002i−2i2i−2i00002i−2i2i−2i00000000000000
χ3022-22-20022-2002-22-2222-2-22-2-20000-20000200−2i2i−2i2i0000−2i2i−2i2i00000000000000
χ3122-22-20022-2002-22-222-222-2220000-20000-2002-22-20000-22-2200000000000000
χ3222-22-20022-2002-22-222-222-2220000-20000-200-22-2200002-22-200000000000000
χ3322-22-2002-22002-22-2-2-22-2-2222000020000-20000002-22-200002-22-20000000000
χ3422-22-2002-22002-22-2-2-22-2-2222000020000-2000000-22-220000-22-220000000000
χ3522-22-2002-22002-22-2-2-2-222-2-2-200002000020000002i−2i2i−2i0000−2i2i−2i2i0000000000
χ3622-22-2002-22002-22-2-2-2-222-2-2-20000200002000000−2i2i−2i2i00002i−2i2i−2i0000000000
χ3722-2-222-2200002-2-22002-22-200002-2000-22000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000
χ3822-2-222-2200002-2-22002-22-200002-2000-22000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000
χ3922-2-222-2200002-2-2200-22-2200002-20002-20002−2−222−2−22−222−2−222−20000000000
χ4022-2-222-2200002-2-2200-22-2200002-20002-2000−222−2−222−22−2−222−2−220000000000
χ4122-2-22-22200002-2-22002-22-20000-220002-2000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000
χ4222-2-22-22200002-2-22002-22-20000-220002-2000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000
χ4322-2-22-22200002-2-2200-22-220000-22000-220002−2−22−222−2−222−22−2−220000000000
χ4422-2-22-22200002-2-2200-22-220000-22000-22000−222−22−2−222−2−22−222−20000000000
χ454444444-14444-1-1-1-1-1-100000044-1-1-1-1-1000000000000000000000-1-1-1-1000000
χ464444444-14444-1-1-1-1-1-1000000-4-4-1-1-1-1-10000000000000000000001111000000
χ474444444-1-4-4-4-4-1-1-1-11100000000-1-11110000000000000000000005−55−5000000
χ484444444-1-4-4-4-4-1-1-1-11100000000-1-1111000000000000000000000−55−55000000
χ4944444-4-4-144-4-4-1-1-1-1-1-10000004-411-111000000000000000000000-1-111000000
χ5044444-4-4-144-4-4-1-1-1-1-1-1000000-4411-11100000000000000000000011-1-1000000
χ5144444-4-4-1-4-444-1-1-1-11100000000111-1-10000000000000000000005−5−55000000
χ5244444-4-4-1-4-444-1-1-1-11100000000111-1-1000000000000000000000−555−5000000
χ53888-8-800-2008i−8i-2-2220000000000000−2i2i0000000000000000000000000000000
χ54888-8-800-200−8i8i-2-22200000000000002i−2i0000000000000000000000000000000
χ5588-88-800-28-800-22-22-2-200000000002000000000000000000000000000000000
χ5688-88-800-2-8800-22-22220000000000-2000000000000000000000000000000000
χ5788-8-888-8-20000-222-20000000000-220000000000000000000000000000000000
χ5888-8-88-88-20000-222-200000000002-20000000000000000000000000000000000
χ598-80000080000-80000000004i2−4i200000000000000000000000000000000000000
χ608-80000080000-8000000000−4i24i200000000000000000000000000000000000000
χ6116-1600000-400004000210−21000000000000000000000000000000000000000000000
χ6216-1600000-400004000−21021000000000000000000000000000000000000000000000

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