Finite Group Databasebeta

← Group #12080413

Character table — Group #12080413

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111144488888888888816222288816161616161616161616161632222288816161616161616161616161632555520202040404040404040404040404080
order1222444222444888888251010102020201010102020204040404040401051010102020201010102020204040404040401022224442224448888882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1
χ311111111-1-11-1-11111-1-1-111111111-1-11-1-11111-1-1-111111111-1-11-1-11111-1-1-111111111-1-11-1-11111-1-1-1
χ411111111-1-11-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111
χ51111111-11-1-11-111-1-111-11111111-11-1-11-111-1-111-11111111-11-1-11-111-1-111-11111111-11-1-11-111-1-111-1
χ61111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-11
χ71111111-1-11-1-1111-1-1-1-111111111-1-11-1-1111-1-1-1-111111111-1-11-1-1111-1-1-1-111111111-1-11-1-1111-1-1-1-11
χ81111111-1-11-1-11-1-11111-11111111-1-11-1-11-1-11111-11111111-1-11-1-11-1-11111-11111111-1-11-1-11-1-11111-1
χ922222-2-200200-2000000022222-2-200200-2000000022222-2-200200-2000000022222-2-200200-20000000
χ1022222-2-200-2002000000022222-2-200-2002000000022222-2-200-2002000000022222-2-200-20020000000
χ112222-22-20200-2000000002222-22-20200-2000000002222-22-20200-2000000002222-22-20200-200000000
χ122222-22-20-2002000000002222-22-20-2002000000002222-22-20-2002000000002222-22-20-200200000000
χ132222-2-22200-20000000002222-2-22200-20000000002222-2-22200-20000000002222-2-22200-2000000000
χ142222-2-22-20020000000002222-2-22-20020000000002222-2-22-20020000000002222-2-22-2002000000000
χ1544-4-40000000002-20000044-4-40000000002-20000044-4-40000000002-20000044-4-40000000002-200000
χ1644-4-4000000000-220000044-4-4000000000-220000044-4-4000000000-220000044-4-4000000000-2200000
χ174-44-4000000000002-20004-44-4000000000002-20004-44-4000000000002-20004-44-4000000000002-2000
χ184-44-400000000000-220004-44-400000000000-220004-44-400000000000-220004-44-400000000000-22000
χ194-4-4400000000000002-204-4-4400000000000002-204-4-4400000000000002-204-4-4400000000000002-20
χ204-4-440000000000000-2204-4-440000000000000-2204-4-440000000000000-2204-4-440000000000000-220
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ221111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ2311111111-1-11-1-11111-1-1-111111111-1-11-1-11111-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111
χ2411111111-1-11-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1111111-1-1-1
χ251111111-11-1-11-111-1-111-11111111-11-1-11-111-1-111-11111111-11-1-11-111-1-111-1-1-1-1-1-1-1-11-111-11-1-111-1-11
χ261111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-11-1-1-1-1-1-1-11-111-1111-1-111-1
χ271111111-1-11-1-1111-1-1-1-111111111-1-11-1-1111-1-1-1-111111111-1-11-1-1111-1-1-1-11-1-1-1-1-1-1-111-111-1-1-11111-1
χ281111111-1-11-1-11-1-11111-11111111-1-11-1-11-1-11111-11111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-1-11
χ2922222-2-200200-2000000022222-2-200200-2000000022222-2-200200-20000000-2-2-2-2-22200-20020000000
χ3022222-2-200-2002000000022222-2-200-2002000000022222-2-200-20020000000-2-2-2-2-22200200-20000000
χ312222-22-20200-2000000002222-22-20200-2000000002222-22-20200-200000000-2-2-2-22-220-200200000000
χ322222-22-20-2002000000002222-22-20-2002000000002222-22-20-200200000000-2-2-2-22-220200-200000000
χ332222-2-22200-20000000002222-2-22200-20000000002222-2-22200-2000000000-2-2-2-222-2-2002000000000
χ342222-2-22-20020000000002222-2-22-20020000000002222-2-22-2002000000000-2-2-2-222-2200-2000000000
χ3544-4-40000000002-20000044-4-40000000002-20000044-4-40000000002-200000-4-444000000000-2200000
χ3644-4-4000000000-220000044-4-4000000000-220000044-4-4000000000-2200000-4-4440000000002-200000
χ374-44-4000000000002-20004-44-4000000000002-20004-44-4000000000002-2000-44-4400000000000-22000
χ384-44-400000000000-220004-44-400000000000-220004-44-400000000000-22000-44-44000000000002-2000
χ394-4-4400000000000002-204-4-4400000000000002-204-4-4400000000000002-20-444-40000000000000-220
χ404-4-440000000000000-2204-4-440000000000000-2204-4-440000000000000-220-444-400000000000002-20
χ4122222222222222222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000
χ422222222222222-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+5200000000000000000000
χ4322222222-2-22-2-22222-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+5200000000000000000000
χ4422222222-2-22-2-2-2-2-2-2222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+521+521+521+52−1−52−1−52−1−5200000000000000000000
χ452222222-22-2-22-222-2-222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+5200000000000000000000
χ462222222-22-2-22-2-2-222-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1−5200000000000000000000
χ472222222-2-22-2-2222-2-2-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−5200000000000000000000
χ482222222-2-22-2-22-2-22222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+5200000000000000000000
χ4944444-4-400400-40000000−1+5−1+5−1+5−1+5−1+51−51−500−1+5001−50000000−1−5−1−5−1−5−1−5−1−51+51+500−1−5001+5000000000000000000000000000
χ5044444-4-400-40040000000−1+5−1+5−1+5−1+5−1+51−51−5001−500−1+50000000−1−5−1−5−1−5−1−5−1−51+51+5001+500−1−5000000000000000000000000000
χ514444-44-40400-400000000−1+5−1+5−1+5−1+51−5−1+51−50−1+5001−500000000−1−5−1−5−1−5−1−51+5−1−51+50−1−5001+50000000000000000000000000000
χ524444-44-40-400400000000−1+5−1+5−1+5−1+51−5−1+51−501−500−1+500000000−1−5−1−5−1−5−1−51+5−1−51+501+500−1−50000000000000000000000000000
χ534444-4-44400-4000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+5001−5000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−5001+500000000000000000000000000000
χ544444-4-44-4004000000000−1+5−1+5−1+5−1+51−51−5−1+51−500−1+5000000000−1−5−1−5−1−5−1−51+51+5−1−51+500−1−500000000000000000000000000000
χ5588-8-80000000004-400000−2+25−2+252−252−25000000000−1+51−500000−2−25−2−252+252+25000000000−1−51+50000000000000000000000000
χ5688-8-8000000000-4400000−2+25−2+252−252−250000000001−5−1+500000−2−25−2−252+252+250000000001+5−1−50000000000000000000000000
χ578-88-8000000000004-4000−2+252−25−2+252−2500000000000−1+51−5000−2−252+25−2−252+2500000000000−1−51+500000000000000000000000
χ588-88-800000000000-44000−2+252−25−2+252−25000000000001−5−1+5000−2−252+25−2−252+25000000000001+5−1−500000000000000000000000
χ598-8-8800000000000004-40−2+252−252−25−2+250000000000000−1+51−50−2−252+252+25−2−250000000000000−1−51+5000000000000000000000
χ608-8-880000000000000-440−2+252−252−25−2+2500000000000001−5−1+50−2−252+252+25−2−2500000000000001+5−1−5000000000000000000000
χ6122222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000
χ622222222222222-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+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+521−521−521−521−521−521−521−5200000000000000000000
χ6322222222-2-22-2-22222-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−5200000000000000000000
χ6422222222-2-22-2-2-2-2-2-2222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−521−521−521−52−1+52−1+52−1+5200000000000000000000
χ652222222-22-2-22-222-2-222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−5200000000000000000000
χ662222222-22-2-22-2-2-222-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1+5200000000000000000000
χ672222222-2-22-2-2222-2-2-2-22−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+5200000000000000000000
χ682222222-2-22-2-22-2-22222-2−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−5200000000000000000000
χ6944444-4-400400-40000000−1−5−1−5−1−5−1−5−1−51+51+500−1−5001+50000000−1+5−1+5−1+5−1+5−1+51−51−500−1+5001−5000000000000000000000000000
χ7044444-4-400-40040000000−1−5−1−5−1−5−1−5−1−51+51+5001+500−1−50000000−1+5−1+5−1+5−1+5−1+51−51−5001−500−1+5000000000000000000000000000
χ714444-44-40400-400000000−1−5−1−5−1−5−1−51+5−1−51+50−1−5001+500000000−1+5−1+5−1+5−1+51−5−1+51−50−1+5001−50000000000000000000000000000
χ724444-44-40-400400000000−1−5−1−5−1−5−1−51+5−1−51+501+500−1−500000000−1+5−1+5−1+5−1+51−5−1+51−501−500−1+50000000000000000000000000000
χ734444-4-44400-4000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−5001+5000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+5001−500000000000000000000000000000
χ744444-4-44-4004000000000−1−5−1−5−1−5−1−51+51+5−1−51+500−1−5000000000−1+5−1+5−1+5−1+51−51−5−1+51−500−1+500000000000000000000000000000
χ7588-8-80000000004-400000−2−25−2−252+252+25000000000−1−51+500000−2+25−2+252−252−25000000000−1+51−50000000000000000000000000
χ7688-8-8000000000-4400000−2−25−2−252+252+250000000001+5−1−500000−2+25−2+252−252−250000000001−5−1+50000000000000000000000000
χ778-88-8000000000004-4000−2−252+25−2−252+2500000000000−1−51+5000−2+252−25−2+252−2500000000000−1+51−500000000000000000000000
χ788-88-800000000000-44000−2−252+25−2−252+25000000000001+5−1−5000−2+252−25−2+252−25000000000001−5−1+500000000000000000000000
χ798-8-8800000000000004-40−2−252+252+25−2−250000000000000−1−51+50−2+252−252−25−2+250000000000000−1+51−5000000000000000000000
χ808-8-880000000000000-440−2−252+252+25−2−2500000000000001+5−1−50−2+252−252−25−2+2500000000000001−5−1+5000000000000000000000