Finite Group Databasebeta

← Group #13107665

Character table — Group #13107665

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11222444444444444444488888888888888882020202020202020252540404040404040404040404040404040505050100100100100
order12244555510101010101010102020202051010101010202020202020202020202222224422101010101010101010101010202020202448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-111-1-11111-1-1-1-111-1-1-11111-1-1
χ6111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111-111-1-111
χ7111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-1-1-1111111-1-1-111-1-111
χ8111-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-111-1-1-1-11111-1-111-11111-1-1
χ911-11-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11-11-11-1-11-1-111-1-111-1-111-1-1-1-1111-111-11-1
χ1011-11-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11-11-1-111-1-1-1-1-11111-1-111-1-111-1-11-11-11-11
χ1111-11-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-11-111-1-11-1-111-1-1-1-111-1-111-1-1111-11-11-11
χ1211-11-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-11-11-111-1-1-1-1-111-1-111-1-11111-1-11-111-11-1
χ1311-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-1-1111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11
χ1411-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1111111-1-11-111-1
χ1511-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-1-111-111-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1
χ1611-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11-1-11111-1-111-111-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-11
χ17222222222222222222222222222222222222200000000-2-20000000000000000-2-2-20000
χ18222-2-2222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2000000002200000000000000002-2-20000
χ1922-22-22222-2-2-2-2222222222-2-2-2-2222-2-2-2-222-2-200000000220000000000000000-22-20000
χ2022-2-222222-2-2-2-22222-2-2-2-22-2-2-2-22-2-22222-2-22200000000-2-2000000000000000022-20000
χ2144444−1+5−1−53−523+523−523−523+523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1−1+5−1−5-1-1-13−523+523−523+52−1+5−1−5-1-1-1-122220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000
χ2244444−1+5−1−53−523+523−523−523+523+523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-1−1+5−1−5-1-1-13−523+523−523+52−1+5−1−5-1-1-1-1-2-2-2-200000000001−521+521−521+521−521+521−521+5200000000000
χ23444443−523+52−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+53−523+523−523−523+523+52-13−523+52-1-1-1−1−5−1+5−1−5−1+53−523+52-1-1-1-10000222200−1+52−1−52−1+52−1−5200000000−1+52−1−52−1+52−1−520000000
χ24444443−523+52−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+53−523+523−523−523+523+52-13−523+52-1-1-1−1−5−1+5−1−5−1+53−523+52-1-1-1-10000-2-2-2-2001−521+521−521+52000000001−521+521−521+520000000
χ25444443+523−52−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−53+523−523+523+523−523−52-13+523−52-1-1-1−1+5−1−5−1+5−1−53+523−52-1-1-1-10000222200−1−52−1+52−1−52−1+5200000000−1−52−1+52−1−52−1+520000000
χ26444443+523−52−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−53+523−523+523+523−523−52-13+523−52-1-1-1−1+5−1−5−1+5−1−53+523−52-1-1-1-10000-2-2-2-2001+521−521+521−52000000001+521−521+521−520000000
χ2744444−1−5−1+53+523−523+523+523−523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1−1−5−1+5-1-1-13+523−523+523−52−1−5−1+5-1-1-1-122220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000
χ2844444−1−5−1+53+523−523+523+523−523−523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-1−1−5−1+5-1-1-13+523−523+523−52−1−5−1+5-1-1-1-1-2-2-2-200000000001+521−521+521−521+521−521+521−5200000000000
χ29444-4-4−1+5−1−53−523+523−523−523+523+523−523+52−1+5−1−51−51−51+51+5-1−1+5−1−5-1-1-1−3+52−3−52−3+52−3−521−51+5111122-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+5200000000000
χ30444-4-4−1+5−1−53−523+523−523−523+523+523−523+52−1+5−1−51−51−51+51+5-1−1+5−1−5-1-1-1−3+52−3−52−3+52−3−521−51+51111-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000000
χ31444-4-43−523+52−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-13−523+52-1-1-11+51−51+51−5−3+52−3−52111100002-22-200−1+52−1−521−521+5200000000−1+52−1−521−521+520000000
χ32444-4-43−523+52−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-13−523+52-1-1-11+51−51+51−5−3+52−3−5211110000-22-22001−521+52−1+52−1−52000000001−521+52−1+52−1−520000000
χ33444-4-43+523−52−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-13+523−52-1-1-11−51+51−51+5−3−52−3+52111100002-22-200−1−52−1+521+521−5200000000−1−52−1+521+521−520000000
χ34444-4-43+523−52−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-13+523−52-1-1-11−51+51−51+5−3−52−3+5211110000-22-22001+521−52−1−52−1+52000000001+521−52−1−52−1+520000000
χ35444-4-4−1−5−1+53+523−523+523+523−523−523+523−52−1−5−1+51+51+51−51−5-1−1−5−1+5-1-1-1−3−52−3+52−3−52−3+521+51−5111122-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−5200000000000
χ36444-4-4−1−5−1+53+523−523+523+523−523−523+523−52−1−5−1+51+51+51−51−5-1−1−5−1+5-1-1-1−3−52−3+52−3−52−3+521+51−51111-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000000
χ3744-44-4−1+5−1−53−523+52−3+52−3+52−3−52−3−523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-11−51+511-13−523+52−3+52−3−521−51+5-1-1112-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+5200000000000
χ3844-44-4−1+5−1−53−523+52−3+52−3+52−3−52−3−523−523+52−1+5−1−5−1+5−1+5−1−5−1−5-11−51+511-13−523+52−3+52−3−521−51+5-1-111-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000000
χ3944-44-43−523+52−1−5−1+51+51+51−51−5−1−5−1+53−523+523−523−523+523+52-1−3+52−3−5211-1−1−5−1+51+51−5−3+52−3−52-1-11100002-2-2200−1+52−1−521−521+52000000001−521+52−1+52−1−520000000
χ4044-44-43−523+52−1−5−1+51+51+51−51−5−1−5−1+53−523+523−523−523+523+52-1−3+52−3−5211-1−1−5−1+51+51−5−3+52−3−52-1-1110000-222-2001−521+52−1+52−1−5200000000−1+52−1−521−521+520000000
χ4144-44-43+523−52−1+5−1−51−51−51+51+5−1+5−1−53+523−523+523+523−523−52-1−3−52−3+5211-1−1+5−1−51−51+5−3−52−3+52-1-11100002-2-2200−1−52−1+521+521−52000000001+521−52−1−52−1+520000000
χ4244-44-43+523−52−1+5−1−51−51−51+51+5−1+5−1−53+523−523+523+523−523−52-1−3−52−3+5211-1−1+5−1−51−51+5−3−52−3+52-1-1110000-222-2001+521−52−1−52−1+5200000000−1−52−1+521+521−520000000
χ4344-44-4−1−5−1+53+523−52−3−52−3−52−3+52−3+523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-11+51−511-13+523−52−3−52−3+521+51−5-1-1112-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−5200000000000
χ4444-44-4−1−5−1+53+523−52−3−52−3−52−3+52−3+523+523−52−1−5−1+5−1−5−1−5−1+5−1+5-11+51−511-13+523−52−3−52−3+521+51−5-1-111-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000000
χ4544-4-44−1+5−1−53−523+52−3+52−3+52−3−52−3−523−523+52−1+5−1−51−51−51+51+5-11−51+511-1−3+52−3−523−523+52−1+5−1−511-1-12-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−5200000000000
χ4644-4-44−1+5−1−53−523+52−3+52−3+52−3−52−3−523−523+52−1+5−1−51−51−51+51+5-11−51+511-1−3+52−3−523−523+52−1+5−1−511-1-1-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000000
χ4744-4-443−523+52−1−5−1+51+51+51−51−5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1−3+52−3−5211-11+51−5−1−5−1+53−523+5211-1-1000022-2-200−1+52−1−52−1+52−1−52000000001−521+521−521+520000000
χ4844-4-443−523+52−1−5−1+51+51+51−51−5−1−5−1+53−523+52−3+52−3+52−3−52−3−52-1−3+52−3−5211-11+51−5−1−5−1+53−523+5211-1-10000-2-222001−521+521−521+5200000000−1+52−1−52−1+52−1−520000000
χ4944-4-443+523−52−1+5−1−51−51−51+51+5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1−3−52−3+5211-11−51+5−1+5−1−53+523−5211-1-1000022-2-200−1−52−1+52−1−52−1+52000000001+521−521+521−520000000
χ5044-4-443+523−52−1+5−1−51−51−51+51+5−1+5−1−53+523−52−3−52−3−52−3+52−3+52-1−3−52−3+5211-11−51+5−1+5−1−53+523−5211-1-10000-2-222001+521−521+521−5200000000−1−52−1+52−1−52−1+520000000
χ5144-4-44−1−5−1+53+523−52−3−52−3−52−3+52−3+523+523−52−1−5−1+51+51+51−51−5-11+51−511-1−3−52−3+523+523−52−1−5−1+511-1-12-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+5200000000000
χ5244-4-44−1−5−1+53+523−52−3−52−3−52−3+52−3+523+523−52−1−5−1+51+51+51−51−5-11+51−511-1−3−52−3+523+523−52−1−5−1+511-1-1-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000000
χ534-400044440000-4-4-4-4000040000-40000000000000000004-400000000000000000000000
χ544-400044440000-4-4-4-4000040000-4000000000000000000-4400000000000000000000000
χ5588888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-2-2333-2-2-2-2-2-23333000000000000000000000000000000000
χ56888-8-8-2-2-2-2-2-2-2-2-2-2-2-222223-2-2333222222-3-3-3-3000000000000000000000000000000000
χ5788-88-8-2-2-2-22222-2-2-2-2-2-2-2-2322-3-33-2-2222233-3-3000000000000000000000000000000000
χ5888-8-88-2-2-2-22222-2-2-2-22222322-3-3322-2-2-2-2-3-333000000000000000000000000000000000
χ598-8000-2-2-2-225−2525−2522222i5−2i52i5−2i53005−5-3000000i5−i55i−5i000000000000000000000000000000000
χ608-8000-2-2-2-225−2525−252222−2i52i5−2i52i53005−5-3000000−i5i5−5i5i000000000000000000000000000000000
χ618-8000-2-2-2-2−2525−252522222i5−2i52i5−2i5300−55-3000000i5−i5−5i5i000000000000000000000000000000000
χ628-8000-2-2-2-2−2525−25252222−2i52i5−2i52i5300−55-3000000−i5i55i−5i000000000000000000000000000000000
χ638-8000−2+25−2−253−53+55+5−5−5−5+55−5−3+5−3−52−252+250000-200−252520000000000000000000000000000000000000000000
χ648-8000−2+25−2−253−53+5−5−55+55−5−5+5−3+5−3−52−252+250000-20025−2520000000000000000000000000000000000000000000
χ658-80003−53+5−2−25−2+2500002+252−25−3+5−3−56ζ3+6ζ7+4ζ11+4ζ19−6ζ3−6ζ7−4ζ11−4ζ19−4ζ3−4ζ7−6ζ11−6ζ194ζ3+4ζ7+6ζ11+6ζ19-200002000000−2i52i500000000000000000000000000000000000
χ668-80003−53+5−2−25−2+2500002+252−25−3+5−3−5−6ζ3−6ζ7−4ζ11−4ζ196ζ3+6ζ7+4ζ11+4ζ194ζ3+4ζ7+6ζ11+6ζ19−4ζ3−4ζ7−6ζ11−6ζ19-2000020000002i5−2i500000000000000000000000000000000000
χ678-80003+53−5−2+25−2−2500002−252+25−3−5−3+5−4ζ3−4ζ7−6ζ11−6ζ194ζ3+4ζ7+6ζ11+6ζ196ζ3+6ζ7+4ζ11+4ζ19−6ζ3−6ζ7−4ζ11−4ζ19-200002000000−2i52i500000000000000000000000000000000000
χ688-80003+53−5−2+25−2−2500002−252+25−3−5−3+54ζ3+4ζ7+6ζ11+6ζ19−4ζ3−4ζ7−6ζ11−6ζ19−6ζ3−6ζ7−4ζ11−4ζ196ζ3+6ζ7+4ζ11+4ζ19-2000020000002i5−2i500000000000000000000000000000000000
χ698-8000−2−25−2+253+53−55−5−5+5−5−55+5−3−5−3+52+252−250000-20025−2520000000000000000000000000000000000000000000
χ708-8000−2−25−2+253+53−5−5+55−55+5−5−5−3−5−3+52+252−250000-200−252520000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.