Finite Group Databasebeta

← Group #12135347

Character table — Group #12135347

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112222222222244444444444444888888888810101616161616161616161616161616161616161616161616161616161616162020202020202040404040404040408080
order1222244445510101010101010102020202020202020222488888888481010101010102020202020204040404040404040404040404040404022448882222444448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11-1-1-1-1-1
χ41111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111
χ511111111111111111111111111111-1-111-1-1-1-111-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-11
χ611111111111111111111111111111-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1
χ711111111111111111111111111111-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-1-11-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-111-11
χ9111111111111111111111111111-1-11111-1-1-1-1111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11-1111-1
χ10111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-11-1-1-11
χ11111111111111111111111111111-1-111-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-1-11
χ12111111111111111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1111-1
χ13111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-11-1111-1-1
χ14111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-11-1-1-111
χ15111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-111
χ16111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ17222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222220022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000
χ18222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-222-2-200-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000
χ19222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2-2-200-22−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000
χ20222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-222002-2−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000
χ21222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-2002-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000
χ22222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-22200-221−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000
χ23222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222200-2-21−521−521+521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000
χ24222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-200221−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000
χ25222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222220022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000
χ26222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-222-2-200-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000
χ27222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2-2-200-22−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000
χ28222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-222002-2−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000
χ29222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2-2-2002-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000
χ30222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-2-22200-221+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000
χ31222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222222200-2-21+521+521−521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000
χ32222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222-2-200221+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000
χ33222-2-222-2-222222-22-2-2-2222-22-2-2-2000000002i−2i00000000000000000000000000002i−2i2i−2i22-2-20000000002i−2i00
χ34222-2-222-2-222222-22-2-2-2222-22-2-2-2000000002i−2i00000000000000000000000000002i−2i2i−2i-2-222000000000−2i2i00
χ35222-2-222-2-222222-22-2-2-2222-22-2-2-200000000−2i2i0000000000000000000000000000−2i2i−2i2i22-2-2000000000−2i2i00
χ36222-2-222-2-222222-22-2-2-2222-22-2-2-200000000−2i2i0000000000000000000000000000−2i2i−2i2i-2-2220000000002i−2i00
χ37222-2-2-2-22222222-22-2-2-2-2-2-22-2222002-20000002200000022-2-20000000000000000000000002-2-20020-200000
χ38222-2-2-2-22222222-22-2-2-2-2-2-22-2222002-2000000-2-200000022-2-2000000000000000000000000-22200-20200000
χ39222-2-2-2-22222222-22-2-2-2-2-2-22-222200-2200000022000000-2-2220000000000000000000000002-2-200-20200000
χ40222-2-2-2-22222222-22-2-2-2-2-2-22-222200-22000000-2-2000000-2-222000000000000000000000000-2220020-200000
χ4122-22-2-22-222222-22-22-2-2-2-22-22-2220000002-2002200000000000000000000002-22-200002-22-2-22-20000000000
χ4222-22-2-22-222222-22-22-2-2-2-22-22-2220000002-200-2-200000000000000000000002-22-20000-22-222-220000000000
χ4322-22-2-22-222222-22-22-2-2-2-22-22-222000000-2200220000000000000000000000-22-220000-22-22-22-20000000000
χ4422-22-2-22-222222-22-22-2-2-2-22-22-222000000-2200-2-20000000000000000000000-22-2200002-22-22-220000000000
χ4522-2-222-2-222222-2-2-2-22222-2-2-2-2222-20000000022002-22-20000000000000000000000000000-2-222-200000000
χ4622-2-222-2-222222-2-2-2-22222-2-2-2-2222-200000000-2-2002-22-2000000000000000000000000000022-2-2200000000
χ4722-2-222-2-222222-2-2-2-22222-2-2-2-222-22000000002200-22-220000000000000000000000000000-2-22-2200000000
χ4822-2-222-2-222222-2-2-2-22222-2-2-2-222-2200000000-2-200-22-22000000000000000000000000000022-22-200000000
χ4922-2-22-222-22222-2-2-2-222-2-22222-2-200002-2000000000000000000002-22-20000000000002-2-2200000020-20000
χ5022-2-22-222-22222-2-2-2-222-2-22222-2-200002-2000000000000000000002-22-2000000000000-222-2000000-2020000
χ5122-2-22-222-22222-2-2-2-222-2-22222-2-20000-2200000000000000000000-22-220000000000002-2-22000000-2020000
χ5222-2-22-222-22222-2-2-2-222-2-22222-2-20000-2200000000000000000000-22-22000000000000-222-200000020-20000
χ5344444-4-4-4-44444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ5444444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51−51+51+51−51+5000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000
χ5544444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51−51+51+51−51+50000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000
χ5644444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51+51−51−51+51−50000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000
χ5744444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51+51−51−51+51−5000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000
χ58444-4-444-4-4−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−5−1+51−5−1−51+51−51+5000000004i−4i0000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000
χ59444-4-444-4-4−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−5−1+51−5−1−51+51−51+500000000−4i4i00000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000
χ60444-4-444-4-4−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+5−1−51+5−1+51−51+51−5000000004i−4i0000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000
χ61444-4-444-4-4−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+5−1−51+5−1+51−51+51−500000000−4i4i00000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000
χ62444-4-4-4-444−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+51−51+51−5−1+51+5−1−5−1+5−1−5004-400000000000000−1+5−1−51−51+50000000000000000000000000000000000000
χ63444-4-4-4-444−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+51−51+51−5−1+51+5−1−5−1+5−1−500-44000000000000001−51+5−1+5−1−50000000000000000000000000000000000000
χ64444-4-4-4-444−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−51+51−51+5−1−51−5−1+5−1−5−1+5004-400000000000000−1−5−1+51+51−50000000000000000000000000000000000000
χ65444-4-4-4-444−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−51+51−51+5−1−51−5−1+5−1−5−1+500-44000000000000001+51−5−1−5−1+50000000000000000000000000000000000000
χ6644-44-44-44-44444-44-44-4-444-44-44-4-400000000000000000000000000000000000000000000000000000000000
χ6744-44-44-44-4−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+5−1+5−1−51−5−1+51+5−1−51−51+50000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000
χ6844-44-44-44-4−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+5−1+5−1−51−5−1+51+5−1−51−51+500000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000
χ6944-44-44-44-4−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+51−500000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000
χ7044-44-44-44-4−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+51−50000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000
χ7144-44-4-44-44−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+51−51+5−1+51−5−1−51+5−1+5−1−50000004-400000000000000000000000000−1+51−5−1−51+5000000000000000000000
χ7244-44-4-44-44−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+51−51+5−1+51−5−1−51+5−1+5−1−5000000-44000000000000000000000000001−5−1+51+5−1−5000000000000000000000
χ7344-44-4-44-44−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+51−5−1−51+5−1+51−5−1−5−1+50000004-400000000000000000000000000−1−51+5−1+51−5000000000000000000000
χ7444-44-4-44-44−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+51−5−1−51+5−1+51−5−1−5−1+5000000-44000000000000000000000000001+5−1−51−5−1+5000000000000000000000
χ7544-4-444-4-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−54-4000000000000−1+51−5−1−51+500000000000000000000000000000000000000000
χ7644-4-444-4-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−5-440000000000001−5−1+51+5−1−500000000000000000000000000000000000000000
χ7744-4-444-4-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+54-4000000000000−1−51+5−1+51−500000000000000000000000000000000000000000
χ7844-4-444-4-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+5-440000000000001+5−1−51−5−1+500000000000000000000000000000000000000000
χ7944-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+500004-400000000000000000000−1+51−5−1−51+500000000000000000000000000000
χ8044-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+50000-44000000000000000000001−5−1+51+5−1−500000000000000000000000000000
χ8144-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−500004-400000000000000000000−1−51+5−1+51−500000000000000000000000000000
χ8244-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51−50000-44000000000000000000001+5−1−51−5−1+500000000000000000000000000000
χ838-8000000088-8-800000000000000000000000042−4200000000000000000000000000000000000000000000000
χ848-8000000088-8-8000000000000000000000000−424200000000000000000000000000000000000000000000000
χ8516-160000000−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000000000000000
χ8616-160000000−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.