Finite Group Databasebeta

← Group #14522713

Character table — Group #14522713

Order 2000.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222244448888888888888888888888888888252550505050505050505050505050505050100100100100250250
order125510105510105555555555555510101010101010101010101010102244441010101020202020202020202020202044
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111111111111111-1-11-1i−i-1-1-1-1iiii−i−i−i−i11-1-1i−i
χ611111111111111111111111111111111111111-1-11-1−ii-1-1-1-1−i−i−i−iiiii11-1-1−ii
χ711111111111111111111111111111111111111-1-1-11i−i-1-1-1-1iiii−i−i−i−i-1-111−ii
χ811111111111111111111111111111111111111-1-1-11−ii-1-1-1-1−i−i−i−iiiii-1-111i−i
χ922−1+52−1−52−1+52−1−52222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52220022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ1022−1+52−1−52−1+52−1−52222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−522200-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000
χ1122−1+52−1−52−1+52−1−52222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-2002i−2i1−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000
χ1222−1+52−1−52−1+52−1−52222222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-200−2i2i1−521+521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000
χ1322−1−52−1+52−1−52−1+52222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52220022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ1422−1−52−1+52−1−52−1+52222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+522200-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000
χ1522−1−52−1+52−1−52−1+52222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-2002i−2i1+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000
χ1622−1−52−1+52−1−52−1+52222222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-200−2i2i1+521−521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000
χ172-222-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2000022-2-200000000000000
χ182-222-2-222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000-2-22200000000000000
χ192-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+522-20000−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000
χ202-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+522-20000−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000
χ212-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+52-2200001−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18000000
χ222-2−1+52−1−521−521+5222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521−521−521+521+521+521+521+521+52-2200001−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18000000
χ232-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−522-20000−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000
χ242-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−522-20000−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000
χ252-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−52-2200001+521−52−1−52−1+52−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14000000
χ262-2−1−52−1+521+521−5222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521+521+521+521+521−521−521−521−521−521−52-2200001+521−52−1−52−1+52ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14000000
χ274444444-14-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-100040000000000000000-1-100
χ284444444-14-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-400000000000000001100
χ29444444-14-14-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1004000000000000000-1-10000
χ30444444-14-14-1-1-14-1-1-1-1-14-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-100-4000000000000000110000
χ314-444-4-44-1-41-1-14-1-1-1-1-14-1-1-1-1-111-411111-41111100000000000000000000i5−i500
χ324-444-4-44-1-41-1-14-1-1-1-1-14-1-1-1-1-111-411111-41111100000000000000000000−i5i500
χ334-444-4-4-141-4-1-1-14-1-1-1-1-14-1-1-1-1111-411111-41111000000000000000000i5−i50000
χ344-444-4-4-141-4-1-1-14-1-1-1-1-14-1-1-1-1111-411111-41111000000000000000000−i5i50000
χ35888888-2-2-2-23-2-2-233-2-2-2-233-2-23-2-2-233-2-2-2-233-2-2000000000000000000000000
χ36888888-2-2-2-2-23-2-2-2-233-2-2-2-233-23-2-2-2-233-2-2-2-233000000000000000000000000
χ3788−2+25−2−25−2+25−2−258-28-2-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52000000000000000000000000
χ3888−2+25−2−25−2+25−2−25-28-28-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+52-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+52000000000000000000000000
χ3988−2+25−2−25−2+25−2−25-2-2-2-23-21−521−52ζ6−4ζ14−4ζ6+ζ141−521−521+521+52−4ζ2+ζ18ζ2−4ζ181+521+523-21−521−52ζ6−4ζ14−4ζ6+ζ141−521−521+521+52−4ζ2+ζ18ζ2−4ζ181+521+52000000000000000000000000
χ4088−2+25−2−25−2+25−2−25-2-2-2-23-21−521−52−4ζ6+ζ14ζ6−4ζ141−521−521+521+52ζ2−4ζ18−4ζ2+ζ181+521+523-21−521−52−4ζ6+ζ14ζ6−4ζ141−521−521+521+52ζ2−4ζ18−4ζ2+ζ181+521+52000000000000000000000000
χ4188−2+25−2−25−2+25−2−25-2-2-2-2-231−521−521−521−52ζ6−4ζ14−4ζ6+ζ141+521+521+521+52−4ζ2+ζ18ζ2−4ζ18-231−521−521−521−52ζ6−4ζ14−4ζ6+ζ141+521+521+521+52−4ζ2+ζ18ζ2−4ζ18000000000000000000000000
χ4288−2+25−2−25−2+25−2−25-2-2-2-2-231−521−521−521−52−4ζ6+ζ14ζ6−4ζ141+521+521+521+52ζ2−4ζ18−4ζ2+ζ18-231−521−521−521−52−4ζ6+ζ14ζ6−4ζ141+521+521+521+52ζ2−4ζ18−4ζ2+ζ18000000000000000000000000
χ4388−2−25−2+25−2−25−2+258-28-2-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52000000000000000000000000
χ4488−2−25−2+25−2−25−2+25-28-28-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−52-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−52000000000000000000000000
χ4588−2−25−2+25−2−25−2+25-2-2-2-23-21+521+52−4ζ2+ζ18ζ2−4ζ181+521+521−521−52−4ζ6+ζ14ζ6−4ζ141−521−523-21+521+52−4ζ2+ζ18ζ2−4ζ181+521+521−521−52−4ζ6+ζ14ζ6−4ζ141−521−52000000000000000000000000
χ4688−2−25−2+25−2−25−2+25-2-2-2-23-21+521+52ζ2−4ζ18−4ζ2+ζ181+521+521−521−52ζ6−4ζ14−4ζ6+ζ141−521−523-21+521+52ζ2−4ζ18−4ζ2+ζ181+521+521−521−52ζ6−4ζ14−4ζ6+ζ141−521−52000000000000000000000000
χ4788−2−25−2+25−2−25−2+25-2-2-2-2-231+521+521+521+52−4ζ2+ζ18ζ2−4ζ181−521−521−521−52−4ζ6+ζ14ζ6−4ζ14-231+521+521+521+52−4ζ2+ζ18ζ2−4ζ181−521−521−521−52−4ζ6+ζ14ζ6−4ζ14000000000000000000000000
χ4888−2−25−2+25−2−25−2+25-2-2-2-2-231+521+521+521+52ζ2−4ζ18−4ζ2+ζ181−521−521−521−52ζ6−4ζ14−4ζ6+ζ14-231+521+521+521+52ζ2−4ζ18−4ζ2+ζ181−521−521−521−52ζ6−4ζ14−4ζ6+ζ14000000000000000000000000
χ498-888-8-8-2-2223-2-2-233-2-2-2-233-2-2-3222-3-32222-3-322000000000000000000000000
χ508-888-8-8-2-222-23-2-2-2-233-2-2-2-2332-32222-3-32222-3-3000000000000000000000000
χ518-8−2+25−2−252−252+258-2-82-2-2−2+251−521−521−521−521−52−2−251+521+521+521+521+52222−25−1+52−1+52−1+52−1+52−1+522+25−1−52−1−52−1−52−1−52−1−52000000000000000000000000
χ528-8−2+25−2−252−252+25-282-8-2-21−52−2+251−521−521−521−521+52−2−251+521+521+521+5222−1+522−25−1+52−1+52−1+52−1+52−1−522+25−1−52−1−52−1−52−1−52000000000000000000000000
χ538-8−2+25−2−252−252+25-2-2223-21−521−52ζ6−4ζ14−4ζ6+ζ141−521−521+521+52−4ζ2+ζ18ζ2−4ζ181+521+52-32−1+52−1+52−ζ6+4ζ144ζ6−ζ14−1+52−1+52−1−52−1−524ζ2−ζ18−ζ2+4ζ18−1−52−1−52000000000000000000000000
χ548-8−2+25−2−252−252+25-2-2223-21−521−52−4ζ6+ζ14ζ6−4ζ141−521−521+521+52ζ2−4ζ18−4ζ2+ζ181+521+52-32−1+52−1+524ζ6−ζ14−ζ6+4ζ14−1+52−1+52−1−52−1−52−ζ2+4ζ184ζ2−ζ18−1−52−1−52000000000000000000000000
χ558-8−2+25−2−252−252+25-2-222-231−521−521−521−52ζ6−4ζ14−4ζ6+ζ141+521+521+521+52−4ζ2+ζ18ζ2−4ζ182-3−1+52−1+52−1+52−1+52−ζ6+4ζ144ζ6−ζ14−1−52−1−52−1−52−1−524ζ2−ζ18−ζ2+4ζ18000000000000000000000000
χ568-8−2+25−2−252−252+25-2-222-231−521−521−521−52−4ζ6+ζ14ζ6−4ζ141+521+521+521+52ζ2−4ζ18−4ζ2+ζ182-3−1+52−1+52−1+52−1+524ζ6−ζ14−ζ6+4ζ14−1−52−1−52−1−52−1−52−ζ2+4ζ184ζ2−ζ18000000000000000000000000
χ578-8−2−25−2+252+252−258-2-82-2-2−2−251+521+521+521+521+52−2+251−521−521−521−521−52222+25−1−52−1−52−1−52−1−52−1−522−25−1+52−1+52−1+52−1+52−1+52000000000000000000000000
χ588-8−2−25−2+252+252−25-282-8-2-21+52−2−251+521+521+521+521−52−2+251−521−521−521−5222−1−522+25−1−52−1−52−1−52−1−52−1+522−25−1+52−1+52−1+52−1+52000000000000000000000000
χ598-8−2−25−2+252+252−25-2-2223-21+521+52−4ζ2+ζ18ζ2−4ζ181+521+521−521−52−4ζ6+ζ14ζ6−4ζ141−521−52-32−1−52−1−524ζ2−ζ18−ζ2+4ζ18−1−52−1−52−1+52−1+524ζ6−ζ14−ζ6+4ζ14−1+52−1+52000000000000000000000000
χ608-8−2−25−2+252+252−25-2-2223-21+521+52ζ2−4ζ18−4ζ2+ζ181+521+521−521−52ζ6−4ζ14−4ζ6+ζ141−521−52-32−1−52−1−52−ζ2+4ζ184ζ2−ζ18−1−52−1−52−1+52−1+52−ζ6+4ζ144ζ6−ζ14−1+52−1+52000000000000000000000000
χ618-8−2−25−2+252+252−25-2-222-231+521+521+521+52−4ζ2+ζ18ζ2−4ζ181−521−521−521−52−4ζ6+ζ14ζ6−4ζ142-3−1−52−1−52−1−52−1−524ζ2−ζ18−ζ2+4ζ18−1+52−1+52−1+52−1+524ζ6−ζ14−ζ6+4ζ14000000000000000000000000
χ628-8−2−25−2+252+252−25-2-222-231+521+521+521+52ζ2−4ζ18−4ζ2+ζ181−521−521−521−52ζ6−4ζ14−4ζ6+ζ142-3−1−52−1−52−1−52−1−52−ζ2+4ζ184ζ2−ζ18−1+52−1+52−1+52−1+52−ζ6+4ζ144ζ6−ζ14000000000000000000000000

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