Finite Group Databasebeta

← Group #13104146

Character table — Group #13104146

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122444444444444444488888888888888882020202020202020252525254040404040404040404040404040404050505050505050505050
order12448855551010101020202020202020205102020404040404040404040404040224488882244101010102020202040404040404040404444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-11-11-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ911-1-1i−i11111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i11-1-1i−ii−i11-1-11111-1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i
χ1011-1-1i−i11111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-1-11i−i−ii11-1-111-1-1-1-111ii−i−i−i−iii-1-111i−i−i−iii
χ1111-1-1i−i11111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i-111-1−iii−i11-1-1-1-11111-1-1−i−iiiii−i−i-1-111i−i−i−iii
χ1211-1-1i−i11111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111−ii−ii11-1-1-1-1-1-11111−i−iii−i−iii11-1-1i−iii−i−i
χ1311-1-1−ii11111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii11-1-1−ii−ii11-1-11111-1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii
χ1411-1-1−ii11111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-1-11−iii−i11-1-111-1-1-1-111−i−iiiii−i−i-1-111−iiii−i−i
χ1511-1-1−ii11111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii-111-1i−i−ii11-1-1-1-11111-1-1ii−i−i−i−iii-1-111−iiii−i−i
χ1611-1-1−ii11111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111i−ii−i11-1-1-1-1-1-11111ii−i−iii−i−i11-1-1−ii−i−iii
χ172222222222222222222222222222222222222200000000-2-2-2-200000000000000000000-2-20000
χ182222-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000220000
χ1922-2-22i−2i22222222-2-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i00000000-2-22200000000000000000000−2i2i0000
χ2022-2-2−2i2i22222222-2-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i00000000-2-222000000000000000000002i−2i0000
χ212-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i000000000000000000002-22i−2i0000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ222-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i000000000000000000002-22i−2i00000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ232-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i00000000000000000000-22−2i2i00000000000000002-22i−2i000000
χ242-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22i−2i00000000000000000000-22−2i2i0000000000000000-22−2i2i000000
χ252-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i000000000000000000002-2−2i2i0000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ262-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i000000000000000000002-2−2i2i00000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ272-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i00000000000000000000-222i−2i00000000000000002-2−2i2i000000
χ282-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i00000000000000000000-222i−2i0000000000000000-222i−2i000000
χ29444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-1−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-102020022000000−1+52−1−5200−1+52−1−520000−1+52−1−52−1+52−1−520000000000
χ30444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-1−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-10-20-200-2-20000001−521+52001−521+5200001−521+521−521+520000000000
χ314444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-13−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1202022000000−1+52−1−5200−1+52−1−5200−1+52−1−52−1+52−1−5200000000000000
χ324444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-13−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1-20-20-2-20000001−521+52001−521+52001−521+521−521+5200000000000000
χ334444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-13+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1202022000000−1−52−1+5200−1−52−1+5200−1−52−1+52−1−52−1+5200000000000000
χ344444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-13+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1-20-20-2-20000001+521−52001+521−52001+521−521+521−5200000000000000
χ35444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-1−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-102020022000000−1−52−1+5200−1−52−1+520000−1−52−1+52−1−52−1+520000000000
χ36444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-1−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-10-20-200-2-20000001+521−52001+521−5200001+521−521+521−520000000000
χ374444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-11−5−3+52−3−521+51−5−3+52−3−521+51111020200-2-2000000−1+52−1−5200−1+52−1−5200001−521+521−521+520000000000
χ384444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1-1-1-11−5−3+52−3−521+51−5−3+52−3−521+511110-20-200220000001−521+52001−521+520000−1+52−1−52−1+52−1−520000000000
χ394444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1−3+521+51−5−3−52−3+521+51−5−3−5211112020-2-2000000−1+52−1−5200−1+52−1−52001−521+521−521+5200000000000000
χ404444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1-1-1-1−3+521+51−5−3−52−3+521+51−5−3−521111-20-20220000001−521+52001−521+5200−1+52−1−52−1+52−1−5200000000000000
χ414444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1−3−521−51+5−3+52−3−521−51+5−3+5211112020-2-2000000−1−52−1+5200−1−52−1+52001+521−521+521−5200000000000000
χ424444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1-1-1-1−3−521−51+5−3+52−3−521−51+5−3+521111-20-20220000001+521−52001+521−5200−1−52−1+52−1−52−1+5200000000000000
χ434444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-11+5−3−52−3+521−51+5−3−52−3+521−51111020200-2-2000000−1−52−1+5200−1−52−1+5200001+521−521+521−520000000000
χ444444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1-1-1-11+5−3−52−3+521−51+5−3−52−3+521−511110-20-200220000001+521−52001+521−520000−1−52−1+52−1−52−1+520000000000
χ4544-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1-111−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−i−iii020-2002i−2i000000−1+52−1−52001−521+520000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ4644-4-44i−4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1-111−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ142ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−i−iii0-20200−2i2i0000001−521+5200−1+52−1−520000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ4744-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1-111ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii20-202i−2i000000−1+52−1−52001−521+5200−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000
χ4844-4-44i−4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1-111ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−i−iii-2020−2i2i0000001−521+5200−1+52−1−5200ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000
χ4944-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1-1112ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−i−iii20-202i−2i000000−1−52−1+52001+521−5200−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000
χ5044-4-44i−4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1-1112ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ38−i−iii-2020−2i2i0000001+521−5200−1−52−1+5200ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000
χ5144-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1-111−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−i−iii020-2002i−2i000000−1−52−1+52001+521−520000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000
χ5244-4-44i−4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1-111−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−i−iii0-20200−2i2i0000001+521−5200−1−52−1+520000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000
χ5344-4-4−4i4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1-1112ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14ii−i−i020-200−2i2i000000−1+52−1−52001−521+520000ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000
χ5444-4-4−4i4i−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1-1112ζ22+2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ382ζ6+2ζ14−2ζ22−2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ6−2ζ14ii−i−i0-202002i−2i0000001−521+5200−1+52−1−520000−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000
χ5544-4-4−4i4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1-111−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i20-20−2i2i000000−1+52−1−52001−521+5200ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000
χ5644-4-4−4i4i3−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1-111−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38ii−i−i-20202i−2i0000001−521+5200−1+52−1−5200−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000
χ5744-4-4−4i4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1-111−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38ii−i−i20-20−2i2i000000−1−52−1+52001+521−5200ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000
χ5844-4-4−4i4i3+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1-111−2ζ6−2ζ14−ζ22−ζ382ζ22+2ζ382ζ6+2ζ14−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ38−2ζ22−2ζ38−2ζ6−2ζ14ζ6+ζ14+2ζ22+2ζ38ii−i−i-20202i−2i0000001+521−5200−1−52−1+5200−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000
χ5944-4-4−4i4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1-1112ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38ii−i−i020-200−2i2i000000−1−52−1+52001+521−520000ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000
χ6044-4-4−4i4i−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1-1112ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ22−2ζ38ii−i−i0-202002i−2i0000001+521−5200−1−52−1+520000−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000
χ61888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23333-2-2-2-2-2-2-2-2333300000000000000000000000000000000000000
χ628888-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2333322222222-3-3-3-300000000000000000000000000000000000000
χ6388-8-88i−8i-2-2-2-2-2-2-2-22222222233-3-3−2i−2i−2i−2i2i2i2i2i3i3i−3i−3i00000000000000000000000000000000000000
χ6488-8-8−8i8i-2-2-2-2-2-2-2-22222222233-3-32i2i2i2i−2i−2i−2i−2i−3i−3i3i3i00000000000000000000000000000000000000
χ658-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i3-33i−3i00000000−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ37−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ3900000000000000000000000000000000000000
χ668-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i3-33i−3i000000005ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ375ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ3900000000000000000000000000000000000000
χ678-88i−8i00−2+253−53+5−2−252−25−3+5−3−52+25−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ144ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14-22−2i2i00000000000000000000000000000000000000000000000000
χ688-88i−8i003−5−2−25−2+253+5−3+52+252−25−3−52ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ144ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ38-22−2i2i00000000000000000000000000000000000000000000000000
χ698-88i−8i003+5−2+25−2−253−5−3−52−252+25−3+54ζ6+4ζ14+2ζ22+2ζ38−4ζ22−4ζ38−4ζ6−4ζ142ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ22+4ζ384ζ6+4ζ14−2ζ6−2ζ14−4ζ22−4ζ38-22−2i2i00000000000000000000000000000000000000000000000000
χ708-88i−8i00−2−253+53−5−2+252+25−3−5−3+52−25−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ38-22−2i2i00000000000000000000000000000000000000000000000000
χ718-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i3-3−3i3i00000000−5ζ7−5ζ23−5ζ31−5ζ395ζ7+5ζ23+5ζ31+5ζ39−5ζ13−5ζ21−5ζ29−5ζ375ζ13+5ζ21+5ζ29+5ζ3700000000000000000000000000000000000000
χ728-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i3-3−3i3i000000005ζ7+5ζ23+5ζ31+5ζ39−5ζ7−5ζ23−5ζ31−5ζ395ζ13+5ζ21+5ζ29+5ζ37−5ζ13−5ζ21−5ζ29−5ζ3700000000000000000000000000000000000000
χ738-8−8i8i00−2+253−53+5−2−252−25−3+5−3−52+254ζ22+4ζ38−2ζ6−2ζ14−4ζ22−4ζ38−4ζ6−4ζ14−2ζ22−2ζ384ζ6+4ζ14−4ζ22−4ζ382ζ6+2ζ14+4ζ22+4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ6−4ζ14-222i−2i00000000000000000000000000000000000000000000000000
χ748-8−8i8i003−5−2−25−2+253+5−3+52+252−25−3−5−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ144ζ22+4ζ38−4ζ6−4ζ14−2ζ22−2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ6−4ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ38-222i−2i00000000000000000000000000000000000000000000000000
χ758-8−8i8i003+5−2+25−2−253−5−3−52−252+25−3+5−4ζ6−4ζ14−2ζ22−2ζ384ζ22+4ζ384ζ6+4ζ14−2ζ6−2ζ14−4ζ22−4ζ384ζ6+4ζ14+2ζ22+2ζ38−4ζ22−4ζ38−4ζ6−4ζ142ζ6+2ζ14+4ζ22+4ζ38-222i−2i00000000000000000000000000000000000000000000000000
χ768-8−8i8i00−2−253+53−5−2+252+25−3−5−3+52−254ζ6+4ζ14−4ζ6−4ζ14−2ζ22−2ζ38−2ζ6−2ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14+2ζ22+2ζ382ζ6+2ζ14+4ζ22+4ζ38−4ζ22−4ζ38-222i−2i00000000000000000000000000000000000000000000000000

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