Finite Group Databasebeta

← Group #13107661

Character table — Group #13107661

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size112444444448888888820202020252540404040404040405050505050112444444448888888820202020252540404040404040405050505050
order12455551010101051020202020202022442210101010202020204888822410101010101010101010202020202020224422101010102020202048888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111111-1-1-1-11-1-1-1-1111111111111111111111-1-1111111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-111111-1-1-1-11111111111111111111-1-11111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111
χ511-11111111111-1-1-1-1-1-11-11-1-1-111-1-111-1-1111-1-111-11111111111-1-1-1-1-1-11-11-1-1-111-1-111-1-1111-1-1
χ611-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1111-1-11111-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1111-1-111
χ711-11111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-11111-11111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-111
χ811-11111111111-1-1-1-1-1-1-11-11-1-1-1-111-1-111111-1-111-11111111111-1-1-1-1-1-1-11-11-1-1-1-111-1-111111-1-1
χ922222222222222222220000-2-200000000-2000022222222222222222220000-2-200000000-20000
χ1022-22222222222-2-2-2-2-2-200002200000000-2000022-22222222222-2-2-2-2-2-200002200000000-20000
χ112-202222-2-2-2-22-200000000002-2000000000i2−i2i2−i22-202222-2-2-2-22-200000000002-2000000000i2−i2i2−i2
χ122-202222-2-2-2-22-200000000002-2000000000−i2i2−i2i22-202222-2-2-2-22-200000000002-2000000000−i2i2−i2i2
χ132-202222-2-2-2-22-20000000000-22000000000i2−i2−i2i22-202222-2-2-2-22-20000000000-22000000000i2−i2−i2i2
χ142-202222-2-2-2-22-20000000000-22000000000−i2i2i2−i22-202222-2-2-2-22-20000000000-22000000000−i2i2i2−i2
χ15444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1220000−1+52−1−52−1+52−1−52000000000444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1220000−1+52−1−52−1+52−1−52000000000
χ16444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1-2-200001−521+521−521+52000000000444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1-2-200001−521+521−521+52000000000
χ174443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-10022000000−1+52−1−52−1+52−1−52000004443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-10022000000−1+52−1−52−1+52−1−5200000
χ184443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-100-2-20000001−521+521−521+52000004443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-100-2-20000001−521+521−521+5200000
χ194443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-10022000000−1−52−1+52−1−52−1+52000004443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-10022000000−1−52−1+52−1−52−1+5200000
χ204443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-100-2-20000001+521−521+521−52000004443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-100-2-20000001+521−521+521−5200000
χ21444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1220000−1−52−1+52−1−52−1+52000000000444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1220000−1−52−1+52−1−52−1+52000000000
χ22444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1-2-200001+521−521+521−52000000000444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1-2-200001+521−521+521−52000000000
χ2344-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+5112-20000−1+52−1−521−521+5200000000044-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+5112-20000−1+52−1−521−521+52000000000
χ2444-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+511-2200001−521+52−1+52−1−5200000000044-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+511-2200001−521+52−1+52−1−52000000000
χ2544-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−5211002-2000000−1+52−1−521−521+520000044-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−5211002-2000000−1+52−1−521−521+5200000
χ2644-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−521100-220000001−521+52−1+52−1−520000044-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−521100-220000001−521+52−1+52−1−5200000
χ2744-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+5211002-2000000−1−52−1+521+521−520000044-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+5211002-2000000−1−52−1+521+521−5200000
χ2844-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+521100-220000001+521−52−1−52−1+520000044-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+521100-220000001+521−52−1−52−1+5200000
χ2944-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−5112-20000−1−52−1+521+521−5200000000044-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−5112-20000−1−52−1+521+521−52000000000
χ3044-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−511-2200001+521−52−1−52−1+5200000000044-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−511-2200001+521−52−1−52−1+52000000000
χ31888-2-2-2-2-2-2-2-233-2-2-2-2330000000000000000000888-2-2-2-2-2-2-2-233-2-2-2-2330000000000000000000
χ3288-8-2-2-2-2-2-2-2-2332222-3-3000000000000000000088-8-2-2-2-2-2-2-2-2332222-3-30000000000000000000
χ338-80-2-2-2-222223-300005i−5i00000000000000000008-80-2-2-2-222223-300005i−5i0000000000000000000
χ348-80-2-2-2-222223-30000−5i5i00000000000000000008-80-2-2-2-222223-30000−5i5i0000000000000000000
χ358-80−2+25−2−253−53+5−3+5−3−52−252+25-2200000000000000000000000008-80−2+25−2−253−53+5−3+5−3−52−252+25-220000000000000000000000000
χ368-803−53+5−2−25−2+252+252−25−3+5−3−5-2200000000000000000000000008-803−53+5−2−25−2+252+252−25−3+5−3−5-220000000000000000000000000
χ378-803+53−5−2+25−2−252−252+25−3−5−3+5-2200000000000000000000000008-803+53−5−2+25−2−252−252+25−3−5−3+5-220000000000000000000000000
χ388-80−2−25−2+253+53−5−3−5−3+52+252−25-2200000000000000000000000008-80−2−25−2+253+53−5−3−5−3+52+252−25-220000000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ40111111111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11111
χ411111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11111
χ421111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1
χ4311-11111111111-1-1-1-1-1-11-11-1-1-111-1-111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-111-1-1-111
χ4411-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1111111-111-111-1-11111-1-1-111-1-1
χ4511-11111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-111-111-1-1
χ4611-11111111111-1-1-1-1-1-1-11-11-1-1-1-111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-111-1-1-1-1-111
χ4722222222222222222220000-2-200000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000220000000020000
χ4822-22222222222-2-2-2-2-2-200002200000000-20000-2-22-2-2-2-2-2-2-2-2-2-22222220000-2-20000000020000
χ492-202222-2-2-2-22-200000000002-2000000000i2−i2i2−i2-220-2-2-2-22222-220000000000-22000000000−i2i2−i2i2
χ502-202222-2-2-2-22-200000000002-2000000000−i2i2−i2i2-220-2-2-2-22222-220000000000-22000000000i2−i2i2−i2
χ512-202222-2-2-2-22-20000000000-22000000000i2−i2−i2i2-220-2-2-2-22222-2200000000002-2000000000−i2i2i2−i2
χ522-202222-2-2-2-22-20000000000-22000000000−i2i2i2−i2-220-2-2-2-22222-2200000000002-2000000000i2−i2−i2i2
χ53444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1220000−1+52−1−52−1+52−1−52000000000-4-4-41−51+5−3+52−3−52−3+52−3−521−51+511−3+52−3−521−51+511-2-200001−521+521−521+52000000000
χ54444−1+5−1−53−523+523−523+52−1+5−1−5-1-13−523+52−1+5−1−5-1-1-2-200001−521+521−521+52000000000-4-4-41−51+5−3+52−3−52−3+52−3−521−51+511−3+52−3−521−51+511220000−1+52−1−52−1+52−1−52000000000
χ554443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-10022000000−1+52−1−52−1+52−1−5200000-4-4-4−3+52−3−521+51−51+51−5−3+52−3−52111+51−5−3+52−3−521100-2-20000001−521+521−521+5200000
χ564443−523+52−1−5−1+5−1−5−1+53−523+52-1-1−1−5−1+53−523+52-1-100-2-20000001−521+521−521+5200000-4-4-4−3+52−3−521+51−51+51−5−3+52−3−52111+51−5−3+52−3−52110022000000−1+52−1−52−1+52−1−5200000
χ574443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-10022000000−1−52−1+52−1−52−1+5200000-4-4-4−3−52−3+521−51+51−51+5−3−52−3+52111−51+5−3−52−3+521100-2-20000001+521−521+521−5200000
χ584443+523−52−1+5−1−5−1+5−1−53+523−52-1-1−1+5−1−53+523−52-1-100-2-20000001+521−521+521−5200000-4-4-4−3−52−3+521−51+51−51+5−3−52−3+52111−51+5−3−52−3+52110022000000−1−52−1+52−1−52−1+5200000
χ59444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1220000−1−52−1+52−1−52−1+52000000000-4-4-41+51−5−3−52−3+52−3−52−3+521+51−511−3−52−3+521+51−511-2-200001+521−521+521−52000000000
χ60444−1−5−1+53+523−523+523−52−1−5−1+5-1-13+523−52−1−5−1+5-1-1-2-200001+521−521+521−52000000000-4-4-41+51−5−3−52−3+52−3−52−3+521+51−511−3−52−3+521+51−511220000−1−52−1+52−1−52−1+52000000000
χ6144-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+5112-20000−1+52−1−521−521+52000000000-4-441−51+5−3+52−3−52−3+52−3−521−51+5113−523+52−1+5−1−5-1-1-2200001−521+52−1+52−1−52000000000
χ6244-4−1+5−1−53−523+523−523+52−1+5−1−5-1-1−3+52−3−521−51+511-2200001−521+52−1+52−1−52000000000-4-441−51+5−3+52−3−52−3+52−3−521−51+5113−523+52−1+5−1−5-1-12-20000−1+52−1−521−521+52000000000
χ6344-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−5211002-2000000−1+52−1−521−521+5200000-4-44−3+52−3−521+51−51+51−5−3+52−3−5211−1−5−1+53−523+52-1-100-220000001−521+52−1+52−1−5200000
χ6444-43−523+52−1−5−1+5−1−5−1+53−523+52-1-11+51−5−3+52−3−521100-220000001−521+52−1+52−1−5200000-4-44−3+52−3−521+51−51+51−5−3+52−3−5211−1−5−1+53−523+52-1-1002-2000000−1+52−1−521−521+5200000
χ6544-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+5211002-2000000−1−52−1+521+521−5200000-4-44−3−52−3+521−51+51−51+5−3−52−3+5211−1+5−1−53+523−52-1-100-220000001+521−52−1−52−1+5200000
χ6644-43+523−52−1+5−1−5−1+5−1−53+523−52-1-11−51+5−3−52−3+521100-220000001+521−52−1−52−1+5200000-4-44−3−52−3+521−51+51−51+5−3−52−3+5211−1+5−1−53+523−52-1-1002-2000000−1−52−1+521+521−5200000
χ6744-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−5112-20000−1−52−1+521+521−52000000000-4-441+51−5−3−52−3+52−3−52−3+521+51−5113+523−52−1−5−1+5-1-1-2200001+521−52−1−52−1+52000000000
χ6844-4−1−5−1+53+523−523+523−52−1−5−1+5-1-1−3−52−3+521+51−511-2200001+521−52−1−52−1+52000000000-4-441+51−5−3−52−3+52−3−52−3+521+51−5113+523−52−1−5−1+5-1-12-20000−1−52−1+521+521−52000000000
χ69888-2-2-2-2-2-2-2-233-2-2-2-2330000000000000000000-8-8-822222222-3-32222-3-30000000000000000000
χ7088-8-2-2-2-2-2-2-2-2332222-3-30000000000000000000-8-8822222222-3-3-2-2-2-2330000000000000000000
χ718-80-2-2-2-222223-300005i−5i0000000000000000000-8802222-2-2-2-2-330000−5i5i0000000000000000000
χ728-80-2-2-2-222223-30000−5i5i0000000000000000000-8802222-2-2-2-2-3300005i−5i0000000000000000000
χ738-80−2+25−2−253−53+5−3+5−3−52−252+25-220000000000000000000000000-8802−252+25−3+5−3−53−53+5−2+25−2−252-20000000000000000000000000
χ748-803−53+5−2−25−2+252+252−25−3+5−3−5-220000000000000000000000000-880−3+5−3−52+252−25−2−25−2+253−53+52-20000000000000000000000000
χ758-803+53−5−2+25−2−252−252+25−3−5−3+5-220000000000000000000000000-880−3−5−3+52−252+25−2+25−2−253+53−52-20000000000000000000000000
χ768-80−2−25−2+253+53−5−3−5−3+52+252−25-220000000000000000000000000-8802+252−25−3−5−3+53+53−5−2−25−2+252-20000000000000000000000000

Here i is the imaginary unit (i² = −1).