Finite Group Databasebeta

← Group #13104250

Character table — Group #13104250

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size112224444444444444444888888888888888840404040404040404040404040404040404040405050100100100100100
order122445555101010101010101020202020510101010102020202020202020202024441010101020202020202020202020202088816161616
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-111-111-1-1
χ611-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-11-1-111111-1-1-1-1-1-1-1-1111111-1-1-111
χ711-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-111
χ811-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-1-11-11-1-1-1-11111-1-1-1-1111111-111-1-1
χ9222222222222222222222222222222222222200000000000000000000-2-2-20000
χ10222-2-2222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2000000000000000000000002−22−2
χ11222-2-2222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000000000000000000−22−22
χ1222-22-22222-2-2-2-2222222222-2-2-2-22-2-2-2-222-2-222000000000000000000000002−2−22
χ1322-22-22222-2-2-2-2222222222-2-2-2-22-2-2-2-222-2-22200000000000000000000000−222−2
χ1422-2-222222-2-2-2-22222-2-2-2-22-2-2-2-222222-2-222-2-200000000000000000000-2-220000
χ1544444−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523+52−1+5−1−53−523−523+523+52-13−523+52-1-1-13−523+52−1+5−1−5−1+5−1−5-1-1-1-12200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ1644444−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523+52−1+5−1−53−523−523+523+52-13−523+52-1-1-13−523+52−1+5−1−5−1+5−1−5-1-1-1-1-2-2001−521−521+521+521−521−521+521+52000000000000000
χ17444443−523+52−1−5−1+53−523−523+523+52−1−5−1+53−523+52−1−5−1−5−1+5−1+5-1−1−5−1+5-1-1-1−1−5−1+53−523+523−523+52-1-1-1-1002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ18444443−523+52−1−5−1+53−523−523+523+52−1−5−1+53−523+52−1−5−1−5−1+5−1+5-1−1−5−1+5-1-1-1−1−5−1+53−523+523−523+52-1-1-1-100-2-2000000001−521−521+521+521−521−521+521+520000000
χ19444443+523−52−1+5−1−53+523+523−523−52−1+5−1−53+523−52−1+5−1+5−1−5−1−5-1−1+5−1−5-1-1-1−1+5−1−53+523−523+523−52-1-1-1-1002200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ20444443+523−52−1+5−1−53+523+523−523−52−1+5−1−53+523−52−1+5−1+5−1−5−1−5-1−1+5−1−5-1-1-1−1+5−1−53+523−523+523−52-1-1-1-100-2-2000000001+521+521−521−521+521+521−521−520000000
χ2144444−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523−52−1−5−1+53+523+523−523−52-13+523−52-1-1-13+523−52−1−5−1+5−1−5−1+5-1-1-1-12200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ2244444−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523−52−1−5−1+53+523+523−523−52-13+523−52-1-1-13+523−52−1−5−1+5−1−5−1+5-1-1-1-1-2-2001+521+521−521−521+521+521−521−52000000000000000
χ23444-4-4−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523+52−1+5−1−5−3+52−3+52−3−52−3−52-13−523+52-1-1-1−3+52−3−521−51+51−51+511110000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ24444-4-4−1+5−1−53−523+52−1+5−1+5−1−5−1−53−523+52−1+5−1−5−3+52−3+52−3−52−3−52-13−523+52-1-1-1−3+52−3−521−51+51−51+511110000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ25444-4-43−523+52−1−5−1+53−523−523+523+52−1−5−1+53−523+521+51+51−51−5-1−1−5−1+5-1-1-11+51−5−3+52−3−52−3+52−3−521111000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ26444-4-43−523+52−1−5−1+53−523−523+523+52−1−5−1+53−523+521+51+51−51−5-1−1−5−1+5-1-1-11+51−5−3+52−3−52−3+52−3−521111000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ27444-4-43+523−52−1+5−1−53+523+523−523−52−1+5−1−53+523−521−51−51+51+5-1−1+5−1−5-1-1-11−51+5−3−52−3+52−3−52−3+521111000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ28444-4-43+523−52−1+5−1−53+523+523−523−52−1+5−1−53+523−521−51−51+51+5-1−1+5−1−5-1-1-11−51+5−3−52−3+52−3−52−3+521111000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ29444-4-4−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523−52−1−5−1+5−3−52−3−52−3+52−3+52-13+523−52-1-1-1−3−52−3+521+51−51+51−511110000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ30444-4-4−1−5−1+53+523−52−1−5−1−5−1+5−1+53+523−52−1−5−1+5−3−52−3−52−3+52−3+52-13+523−52-1-1-1−3−52−3+521+51−51+51−511110000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ3144-44-4−1+5−1−53−523+521−51−51+51+53−523+52−1+5−1−53−523−523+523+52-1−3+52−3−5211-1−3+52−3−521−51+5−1+5−1−511-1-10000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ3244-44-4−1+5−1−53−523+521−51−51+51+53−523+52−1+5−1−53−523−523+523+52-1−3+52−3−5211-1−3+52−3−521−51+5−1+5−1−511-1-10000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ3344-44-43−523+52−1−5−1+5−3+52−3+52−3−52−3−52−1−5−1+53−523+52−1−5−1−5−1+5−1+5-11+51−511-11+51−5−3+52−3−523−523+5211-1-1000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000
χ3444-44-43−523+52−1−5−1+5−3+52−3+52−3−52−3−52−1−5−1+53−523+52−1−5−1−5−1+5−1+5-11+51−511-11+51−5−3+52−3−523−523+5211-1-1000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000
χ3544-44-43+523−52−1+5−1−5−3−52−3−52−3+52−3+52−1+5−1−53+523−52−1+5−1+5−1−5−1−5-11−51+511-11−51+5−3−52−3+523+523−5211-1-1000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000
χ3644-44-43+523−52−1+5−1−5−3−52−3−52−3+52−3+52−1+5−1−53+523−52−1+5−1+5−1−5−1−5-11−51+511-11−51+5−3−52−3+523+523−5211-1-1000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000
χ3744-44-4−1−5−1+53+523−521+51+51−51−53+523−52−1−5−1+53+523+523−523−52-1−3−52−3+5211-1−3−52−3+521+51−5−1−5−1+511-1-10000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ3844-44-4−1−5−1+53+523−521+51+51−51−53+523−52−1−5−1+53+523+523−523−52-1−3−52−3+5211-1−3−52−3+521+51−5−1−5−1+511-1-10000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ3944-4-44−1+5−1−53−523+521−51−51+51+53−523+52−1+5−1−5−3+52−3+52−3−52−3−52-1−3+52−3−5211-13−523+52−1+5−1−51−51+5-1-1112-200−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ4044-4-44−1+5−1−53−523+521−51−51+51+53−523+52−1+5−1−5−3+52−3+52−3−52−3−52-1−3+52−3−5211-13−523+52−1+5−1−51−51+5-1-111-22001−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ4144-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−52−1−5−1+53−523+521+51+51−51−5-11+51−511-1−1−5−1+53−523+52−3+52−3−52-1-111002-200000000−1+52−1+52−1−52−1−521−521−521+521+520000000
χ4244-4-443−523+52−1−5−1+5−3+52−3+52−3−52−3−52−1−5−1+53−523+521+51+51−51−5-11+51−511-1−1−5−1+53−523+52−3+52−3−52-1-11100-22000000001−521−521+521+52−1+52−1+52−1−52−1−520000000
χ4344-4-443+523−52−1+5−1−5−3−52−3−52−3+52−3+52−1+5−1−53+523−521−51−51+51+5-11−51+511-1−1+5−1−53+523−52−3−52−3+52-1-111002-200000000−1−52−1−52−1+52−1+521+521+521−521−520000000
χ4444-4-443+523−52−1+5−1−5−3−52−3−52−3+52−3+52−1+5−1−53+523−521−51−51+51+5-11−51+511-1−1+5−1−53+523−52−3−52−3+52-1-11100-22000000001+521+521−521−52−1−52−1−52−1+52−1+520000000
χ4544-4-44−1−5−1+53+523−521+51+51−51−53+523−52−1−5−1+5−3−52−3−52−3+52−3+52-1−3−52−3+5211-13+523−52−1−5−1+51+51−5-1-1112-200−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ4644-4-44−1−5−1+53+523−521+51+51−51−53+523−52−1−5−1+5−3−52−3−52−3+52−3+52-1−3−52−3+5211-13+523−52−1−5−1+51+51−5-1-111-22001+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ474-400044440000-4-4-4-4000040000-400000000000000000000000000000022−2200000
χ484-400044440000-4-4-4-4000040000-4000000000000000000000000000000−222200000
χ4988888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-2-2333-2-2-2-2-2-23333000000000000000000000000000
χ50888-8-8-2-2-2-2-2-2-2-2-2-2-2-222223-2-2333222222-3-3-3-3000000000000000000000000000
χ5188-88-8-2-2-2-22222-2-2-2-2-2-2-2-2322-3-332222-2-2-3-333000000000000000000000000000
χ5288-8-88-2-2-2-22222-2-2-2-22222322-3-33-2-2-2-22233-3-3000000000000000000000000000
χ538-8000-2-2-2-225−2525−2522222i5−2i52i5−2i53005−5-30000005i−5ii5−i5000000000000000000000000000
χ548-8000-2-2-2-225−2525−252222−2i52i5−2i52i53005−5-3000000−5i5i−i5i5000000000000000000000000000
χ558-8000-2-2-2-2−2525−252522222i5−2i52i5−2i5300−55-3000000−5i5ii5−i5000000000000000000000000000
χ568-8000-2-2-2-2−2525−25252222−2i52i5−2i52i5300−55-30000005i−5i−i5i5000000000000000000000000000
χ578-8000−2+25−2−253−53+50000−3+5−3−52−252+256ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ38−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ38-20000200000000−2i52i5000000000000000000000000000
χ588-8000−2+25−2−253−53+50000−3+5−3−52−252+25−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ384ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ38-200002000000002i5−2i5000000000000000000000000000
χ598-80003−53+5−2−25−2+255+5−5−5−5+55−52+252−25−3+5−3−50000-200−252520000000000000000000000000000000000000
χ608-80003−53+5−2−25−2+25−5−55+55−5−5+52+252−25−3+5−3−50000-20025−2520000000000000000000000000000000000000
χ618-80003+53−5−2+25−2−255−5−5+5−5−55+52−252+25−3−5−3+50000-20025−2520000000000000000000000000000000000000
χ628-80003+53−5−2+25−2−25−5+55−55+5−5−52−252+25−3−5−3+50000-200−252520000000000000000000000000000000000000
χ638-8000−2−25−2+253+53−50000−3−5−3+52+252−25−4ζ6−4ζ14−6ζ22−6ζ384ζ6+4ζ14+6ζ22+6ζ386ζ6+6ζ14+4ζ22+4ζ38−6ζ6−6ζ14−4ζ22−4ζ38-20000200000000−2i52i5000000000000000000000000000
χ648-8000−2−25−2+253+53−50000−3−5−3+52+252−254ζ6+4ζ14+6ζ22+6ζ38−4ζ6−4ζ14−6ζ22−6ζ38−6ζ6−6ζ14−4ζ22−4ζ386ζ6+6ζ14+4ζ22+4ζ38-200002000000002i5−2i5000000000000000000000000000

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