Finite Group Databasebeta

← Group #87883

Character table — Group #87883

Order 400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11222222224444444410101010101010101010501122222222444444441010101010101010101050
order12555510101010555510101010241010101020202020222101010101010101010101010101010102410101010202020202
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-11111-1-1-1-1-11111111111111111111-11111-1-1-1-1-1
χ3111111111111111111-11-1-1-1-11111-1111111111111111111-11-1-1-1-11111-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11
χ52222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5220−1+52−1+52−1−52−1−52000002222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5220−1+52−1+52−1−52−1−5200000
χ62222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-201−521−521+521+52000002222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-201−521−521+521+5200000
χ72222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5220−1−52−1−52−1+52−1+52000002222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5220−1−52−1−52−1+52−1+5200000
χ82222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-201+521+521−521−52000002222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-201+521+521−521−5200000
χ922−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52020000−1+52−1+52−1−52−1−52022−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52020000−1+52−1+52−1−52−1−520
χ1022−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-200001−521−521+521+52022−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-200001−521−521+521+520
χ1122−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52020000−1−52−1−52−1+52−1+52022−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52020000−1−52−1−52−1+52−1+520
χ1222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-200001+521+521−521−52022−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-200001+521+521−521−520
χ132-22222-2-2-2-22222-2-2-2-2000000000002-22222-2-2-2-22222-2-2-2-200000000000
χ142-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000002-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000
χ152-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000002-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000
χ162-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000002-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000
χ172-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000002-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000
χ182-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ702-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70
χ192-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ702-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70
χ202-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1902-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190
χ212-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1902-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190
χ2244−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+523−52-1-13+520000000000044−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+523−52-1-13+5200000000000
χ2344−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5-13+523−52-1-13+523−52-10000000000044−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5-13+523−52-1-13+523−52-100000000000
χ2444−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5-13−523+52-1-13−523+52-10000000000044−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5-13−523+52-1-13−523+52-100000000000
χ2544−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−523+52-1-13−520000000000044−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−523+52-1-13−5200000000000
χ264-4−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+52−3+5211−3−52000000000004-4−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+52−3+5211−3−5200000000000
χ274-4−1+5−1−5−1−5−1+51+51−51−51+5-13+523−52-11−3−52−3+521000000000004-4−1+5−1−5−1−5−1+51+51−51−51+5-13+523−52-11−3−52−3+52100000000000
χ284-4−1−5−1+5−1+5−1−51−51+51+51−5-13−523+52-11−3+52−3−521000000000004-4−1−5−1+5−1+5−1−51−51+51+51−5-13−523+52-11−3+52−3−52100000000000
χ294-4−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−5211−3+52000000000004-4−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−5211−3+5200000000000
χ3011111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111
χ32111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11
χ33111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ342222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5220−1+52−1+52−1−52−1−5200000-2-2-2-21−521+521−521+52-2-21−521−521+521+521−521−521+521+52-201−521−521+521+5200000
χ352222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-201−521−521+521+5200000-2-2-2-21−521+521−521+52-2-21−521−521+521+521−521−521+521+5220−1+52−1+52−1−52−1−5200000
χ362222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5220−1−52−1−52−1+52−1+5200000-2-2-2-21+521−521+521−52-2-21+521+521−521−521+521+521−521−52-201+521+521−521−5200000
χ372222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-201+521+521−521−5200000-2-2-2-21+521−521+521−52-2-21+521+521−521−521+521+521−521−5220−1−52−1−52−1+52−1+5200000
χ3822−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52020000−1+52−1+52−1−52−1−520-2-21−521+52-2-2-2-21−521+521−521+521−521+521−521+521−521+520-200001−521−521+521+520
χ3922−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-200001−521−521+521+520-2-21−521+52-2-2-2-21−521+521−521+521−521+521−521+521−521+52020000−1+52−1+52−1−52−1−520
χ4022−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52020000−1−52−1−52−1+52−1+520-2-21+521−52-2-2-2-21+521−521+521−521+521−521+521−521+521−520-200001+521+521−521−520
χ4122−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-200001+521+521−521−520-2-21+521−52-2-2-2-21+521−521+521−521+521−521+521−521+521−52020000−1−52−1−52−1+52−1+520
χ422-22222-2-2-2-22222-2-2-2-200000000000-22-2-2-2-22222-2-2-2-2222200000000000
χ432-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000-22-2-21−521+52−1+52−1−52221−521−521+521+52−1+52−1+52−1−52−1−5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000
χ442-222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+5200−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000-22-2-21−521+52−1+52−1−52221−521−521+521+52−1+52−1+52−1−52−1−5200ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000
χ452-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000-22-2-21+521−52−1−52−1+52221+521+521−521−52−1−52−1−52−1+52−1+5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000
χ462-222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−5200ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000-22-2-21+521−52−1−52−1+52221+521+521−521−52−1−52−1−52−1+52−1+5200−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000
χ472-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70-221−521+52-2-222−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70
χ482-2−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70-221−521+52-2-222−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70
χ492-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190-221+521−52-2-222−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190
χ502-2−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190-221+521−52-2-222−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190
χ5144−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−53−52-1-13+523−52-1-13+5200000000000-4-41−51+51−51+51−51+51−51+5−3+5211−3−52−3+5211−3−5200000000000
χ5244−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5-13+523−52-1-13+523−52-100000000000-4-41−51+51+51−51+51−51−51+51−3−52−3+5211−3−52−3+52100000000000
χ5344−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5-13−523+52-1-13−523+52-100000000000-4-41+51−51−51+51−51+51+51−51−3+52−3−5211−3+52−3−52100000000000
χ5444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+53+52-1-13−523+52-1-13−5200000000000-4-41+51−51+51−51+51−51+51−5−3−5211−3+52−3−5211−3+5200000000000
χ554-4−1+5−1−5−1+5−1−51−51+51−51+53−52-1-13+52−3+5211−3−5200000000000-441−51+51−51+5−1+5−1−5−1+5−1−5−3+5211−3−523−52-1-13+5200000000000
χ564-4−1+5−1−5−1−5−1+51+51−51−51+5-13+523−52-11−3−52−3+52100000000000-441−51+51+51−5−1−5−1+5−1+5−1−51−3−52−3+521-13+523−52-100000000000
χ574-4−1−5−1+5−1+5−1−51−51+51+51−5-13−523+52-11−3+52−3−52100000000000-441+51−51−51+5−1+5−1−5−1−5−1+51−3+52−3−521-13−523+52-100000000000
χ584-4−1−5−1+5−1−5−1+51+51−51+51−53+52-1-13−52−3−5211−3+5200000000000-441+51−51+51−5−1−5−1+5−1−5−1+5−3−5211−3+523+52-1-13−5200000000000

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