Finite Group Databasebeta

← Group #13104230

Character table — Group #13104230

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1111224444444444444444444444448888888888882020202020202020202020202020202020202020404040404040404040405050100100100100100
order12224455551010101010101010101010102020202020202020510101020202020202020204444202020202020202020202020202020204420202020202020204448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111-1-1
χ61111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-111
χ71111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111111-1-1-111
χ81111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-111-111-1-1
χ9222222222222222222222222222222222222222222000000000000000000000000000000-2-2-20000
χ102222-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-220000
χ112-22-200222222-2-222-2-2-2-2-2-20000000022-2-200000000002i−2i000000002i2i2i2i−2i−2i−2i−2i0000000000-2200000
χ122-22-200222222-2-222-2-2-2-2-2-20000000022-2-20000000000−2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000000-2200000
χ132-22-200222222-2-222-2-2-2-2-2-20000000022-2-2000000002-2002222-2-2-2-20000000000000000002-200000
χ142-22-200222222-2-222-2-2-2-2-2-20000000022-2-200000000-2200-2-2-2-222220000000000000000002-200000
χ152-2-222i−2i2222-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000002−2i2−i2
χ162-2-222i−2i2222-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000−22−i2i2
χ172-2-22−2i2i2222-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000002−2−i2i2
χ182-2-22−2i2i2222-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000−22i2−i2
χ19444444−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+53−523+52−1−5−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-12222−1+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
χ20444444−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+53−523+52−1−5−1+5−1−53−523−523+523+523−523−523+523+52-1-1-1-1−1+5−1−5−1+5−1−5-1-1-1-1-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000
χ214444443−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−52−1−5−1+53+523−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-10000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000
χ224444443−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−52−1−5−1+53+523−523+52−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-1-1-1-13−523+523−523+52-1-1-1-100000000000000000000-2-21−521−521+521+521−521−521+521+520000000
χ234444443+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+52−1+5−1−53−523+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-10000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000
χ244444443+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+52−1+5−1−53−523+523−52−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-1-1-1-13+523−523+523−52-1-1-1-100000000000000000000-2-21+521+521−521−521+521+521−521−520000000
χ25444444−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−53+523−52−1+5−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-12222−1−52−1−52−1+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
χ26444444−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−53+523−52−1+5−1−5−1+53+523+523−523−523+523+523−523−52-1-1-1-1−1−5−1+5−1−5−1+5-1-1-1-1-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000
χ274444-4-4−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+53−523+52−1−5−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+5111122-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000
χ284444-4-4−1+53−523+52−1−5−1+5−1−53−523+523−523+52−1+53−523+52−1−5−1+5−1−5−3+52−3+52−3−52−3−52−3+52−3+52−3−52−3−52-1-1-1-11−51+51−51+51111-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000
χ294444-4-43−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−52−1−5−1+53+523−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−521111000000000000000000002-21−521−521+521+52−1+52−1+52−1−52−1−520000000
χ304444-4-43−52−1−5−1+53+523−523+52−1−5−1+5−1−5−1+53−52−1−5−1+53+523−523+521+51+51−51−51+51+51−51−5-1-1-1-1−3+52−3−52−3+52−3−52111100000000000000000000-22−1+52−1+52−1−52−1−521−521−521+521+520000000
χ314444-4-43+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+52−1+5−1−53−523+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+521111000000000000000000002-21+521+521−521−52−1−52−1−52−1+52−1+520000000
χ324444-4-43+52−1+5−1−53−523+523−52−1+5−1−5−1+5−1−53+52−1+5−1−53−523+523−521−51−51+51+51−51−51+51+5-1-1-1-1−3−52−3+52−3−52−3+52111100000000000000000000-22−1−52−1−52−1+52−1+521+521+521−521−520000000
χ334444-4-4−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−53+523−52−1+5−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+51−5111122-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000
χ344444-4-4−1−53+523−52−1+5−1−5−1+53+523−523+523−52−1−53+523−52−1+5−1−5−1+5−3−52−3−52−3+52−3+52−3−52−3−52−3+52−3+52-1-1-1-11+51−51+51−51111-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000
χ3544-4-4004444-4-444-4-4-4-4-4-444000000004-4-44000000000000000000000000000000000000000000000
χ3644-4-400−1+53−523+52−1−51−51+53−523+52−3+52−3−521−5−3+52−3−521+5−1+5−1−55+52−5−525−52−5+525+52−5−525−52−5+52-111-100005−55−50000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ3744-4-400−1+53−523+52−1−51−51+53−523+52−3+52−3−521−5−3+52−3−521+5−1+5−1−55+52−5−525−52−5+525+52−5−525−52−5+52-111-100005−55−50000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ3844-4-400−1+53−523+52−1−51−51+53−523+52−3+52−3−521−5−3+52−3−521+5−1+5−1−5−5−525+52−5+525−52−5−525+52−5+525−52-111-10000−55−550000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000
χ3944-4-400−1+53−523+52−1−51−51+53−523+52−3+52−3−521−5−3+52−3−521+5−1+5−1−5−5−525+52−5+525−52−5−525+52−5+525−52-111-10000−55−550000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000
χ4044-4-400−1−53+523−52−1+51+51−53+523−52−3−52−3+521+5−3−52−3+521−5−1−5−1+55−52−5+525+52−5−525−52−5+525+52−5−52-111-10000−55−550000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ4144-4-400−1−53+523−52−1+51+51−53+523−52−3−52−3+521+5−3−52−3+521−5−1−5−1+55−52−5+525+52−5−525−52−5+525+52−5−52-111-10000−55−550000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ4244-4-400−1−53+523−52−1+51+51−53+523−52−3−52−3+521+5−3−52−3+521−5−1−5−1+5−5+525−52−5−525+52−5+525−52−5−525+52-111-100005−55−50000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000
χ4344-4-400−1−53+523−52−1+51+51−53+523−52−3−52−3+521+5−3−52−3+521−5−1−5−1+5−5+525−52−5−525+52−5+525−52−5−525+52-111-100005−55−50000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000
χ444-44-400−1+53−523+52−1−5−1+5−1−5−3+52−3−523−523+521−5−3+52−3−521+51−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1-1110000i5−i5−i5i52-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000
χ454-44-400−1+53−523+52−1−5−1+5−1−5−3+52−3−523−523+521−5−3+52−3−521+51−51+53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38-1-1110000i5−i5−i5i5-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000
χ464-44-400−1+53−523+52−1−5−1+5−1−5−3+52−3−523−523+521−5−3+52−3−521+51−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1-1110000−i5i5i5−i52-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000000
χ474-44-400−1+53−523+52−1−5−1+5−1−5−3+52−3−523−523+521−5−3+52−3−521+51−51+5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38-1-1110000−i5i5i5−i5-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000000
χ484-44-400−1−53+523−52−1+5−1−5−1+5−3−52−3+523+523−521+5−3−52−3+521−51+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1-1110000i5−i5−i5i52-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000
χ494-44-400−1−53+523−52−1+5−1−5−1+5−3−52−3+523+523−521+5−3−52−3+521−51+51−5−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38-1-1110000i5−i5−i5i5-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000
χ504-44-400−1−53+523−52−1+5−1−5−1+5−3−52−3+523+523−521+5−3−52−3+521−51+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1-1110000−i5i5i5−i52-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000000
χ514-44-400−1−53+523−52−1+5−1−5−1+5−3−52−3+523+523−521+5−3−52−3+521−51+51−52ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ383ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ38-1-1110000−i5i5i5−i5-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000000
χ524-4-444i−4i−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−52−1+53−523+52−1−51−51+5ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-11-11−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii0000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000000
χ534-4-444i−4i−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−52−1+53−523+52−1−51−51+5ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38-11-11−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−i−iii0000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000000
χ544-4-444i−4i3−52−1−5−1+53+52−3+52−3−521+51−51+51−53−52−1−5−1+53+52−3+52−3−52−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-11-11ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii0000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ554-4-444i−4i3−52−1−5−1+53+52−3+52−3−521+51−51+51−53−52−1−5−1+53+52−3+52−3−52−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38-11-11ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii0000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ564-4-444i−4i3+52−1+5−1−53−52−3−52−3+521−51+51−51+53+52−1+5−1−53−52−3−52−3+52−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-11-112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii0000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ574-4-444i−4i3+52−1+5−1−53−52−3−52−3+521−51+51−51+53+52−1+5−1−53−52−3−52−3+52−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14-11-112ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−i−iii0000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ584-4-444i−4i−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+52−1−53+523−52−1+51+51−52ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-11-11−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii0000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000000
χ594-4-444i−4i−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+52−1−53+523−52−1+51+51−52ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38-11-11−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−i−iii0000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000000
χ604-4-44−4i4i−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−52−1+53−523+52−1−51−51+5−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38-11-112ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14ii−i−i0000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000000
χ614-4-44−4i4i−1+53−523+52−1−51−51+5−3+52−3−52−3+52−3−52−1+53−523+52−1−51−51+5−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38-11-112ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14ii−i−i0000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000000
χ624-4-44−4i4i3−52−1−5−1+53+52−3+52−3−521+51−51+51−53−52−1−5−1+53+52−3+52−3−522ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38-11-11−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i0000000000000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000
χ634-4-44−4i4i3−52−1−5−1+53+52−3+52−3−521+51−51+51−53−52−1−5−1+53+52−3+52−3−522ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38-11-11−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i0000000000000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000
χ644-4-44−4i4i3+52−1+5−1−53−52−3−52−3+521−51+51−51+53+52−1+5−1−53−52−3−52−3+522ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14-11-11−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ii−i−i0000000000000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000
χ654-4-44−4i4i3+52−1+5−1−53−52−3−52−3+521−51+51−51+53+52−1+5−1−53−52−3−52−3+522ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14-11-11−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ii−i−i0000000000000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000
χ664-4-44−4i4i−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+52−1−53+523−52−1+51+51−5−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38-11-112ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ii−i−i0000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000000
χ674-4-44−4i4i−1−53+523−52−1+51+51−5−3−52−3+52−3−52−3+52−1−53+523−52−1+51+51−5−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38-11-112ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38ii−i−i0000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000000
χ68888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23333-2-2-2-233330000000000000000000000000000000000000
χ698888-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222233332222-3-3-3-30000000000000000000000000000000000000
χ7088-8-800-2-2-2-222-2-2222222-2-225−25−252525−25−25253-3-330000−55−550000000000000000000000000000000000000
χ7188-8-800-2-2-2-222-2-2222222-2-2−252525−25−252525−253-3-3300005−55−50000000000000000000000000000000000000
χ7288-8-8003−5−2−25−2+253+5−3+5−3−5−2−25−2+252+252−25−3+52+252−25−3−53−53+500000000-222-2000000000000000000000000000000000000000000000
χ7388-8-8003+5−2+25−2−253−5−3−5−3+5−2+25−2−252−252+25−3−52−252+25−3+53+53−500000000-222-2000000000000000000000000000000000000000000000
χ748-88-800-2-2-2-2-2-222-2-22222222i5−2i5−2i52i5−2i52i52i5−2i533-3-30000−i5i5i5−i50000000000000000000000000000000000000
χ758-88-800-2-2-2-2-2-222-2-2222222−2i52i52i5−2i52i5−2i5−2i52i533-3-30000i5−i5−i5i50000000000000000000000000000000000000
χ768-88-8003−5−2−25−2+253+53−53+52+252−25−2−25−2+25−3+52+252−25−3−5−3+5−3−500000000-2-222000000000000000000000000000000000000000000000
χ778-88-8003+5−2+25−2−253−53+53−52−252+25−2+25−2−25−3−52−252+25−3+5−3−5−3+500000000-2-222000000000000000000000000000000000000000000000
χ788-8-888i−8i-2-2-2-2222222-2-2-2-222−2i−2i−2i−2i2i2i2i2i3-33-3−2i−2i2i2i3i3i−3i−3i0000000000000000000000000000000000000
χ798-8-88−8i8i-2-2-2-2222222-2-2-2-2222i2i2i2i−2i−2i−2i−2i3-33-32i2i−2i−2i−3i−3i3i3i0000000000000000000000000000000000000

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