Finite Group Databasebeta

← Group #12136691

Character table — Group #12136691

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222222222224444444444448888888888888888888816161616161616161616161616161616161616161616161616202020202020202040404040404040408080
order1222244445510102020202010101010101020202020202022444444888840404040404040404101010102020202020202020202020202020202040404040222222442444448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ6111111111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111-11-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-11-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111111111111111-11-1111-1-1-1-11111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1011111111111111111111111111111-11-1111-1-1-1-11111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ1211111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1
χ1311111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11
χ1411111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111-1
χ1511111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ1611111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ17222222222−1+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+52−1−52222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+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+52−1−52−1−52000000000000000000
χ18222222222−1+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+52−1−522222-2-2-2-222-2-21−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ19222222222−1+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+52−1−522-22-22222-2-2-2-21−521−521−521−521+521+521+521+52-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222−1+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+52−1−522-22-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ21222222222−1+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+52−1−52-22-2222-2-2-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ22222222222−1+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+52−1−52-22-22-2-222-2-2-2-21−521−521−521−521+521+521+521+5221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ23222222222−1+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+52−1−52-2-2-2-222-2-222-2-21−521−521−521−521+521+521+521+5221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ24222222222−1+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+52−1−52-2-2-2-2-2-2222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ25222222222−1−52−1+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+52222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+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+52000000000000000000
χ26222222222−1−52−1+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+522222-2-2-2-222-2-21+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ27222222222−1−52−1+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+522-22-22222-2-2-2-21+521+521+521+521−521−521−521−52-2−1−52−1+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+521+521−521−521+521+521−521−52000000000000000000
χ28222222222−1−52−1+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+522-22-2-2-2-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ29222222222−1−52−1+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+52-22-2222-2-2-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ30222222222−1−52−1+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+52-22-22-2-222-2-2-2-21+521+521+521+521−521−521−521−5221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ31222222222−1−52−1+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+52-2-2-2-222-2-222-2-21+521+521+521+521−521−521−521−5221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ32222222222−1−52−1+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+52-2-2-2-2-2-2222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3322222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-20000002-200000000000000000000000002-22-20000000000002-22-2002-2000000
χ3422222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-20000002-200000000000000000000000002-22-2000000000000-22-2200-22000000
χ3522222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2000000-220000000000000000000000000-22-220000000000002-22-200-22000000
χ3622222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2000000-220000000000000000000000000-22-22000000000000-22-22002-2000000
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χ40222-2-222-2-2222222222-2-22-2-22-22-2-2-20000−2i2i00000000000000000000000−2i2i−2i2i0000000000000000-2-22200002i−2i0000
χ41222-2-2-2-2222222-2-2-2-22-2-22-2-2-22-222220-20000000000000000002200-2-200000000000000000022-2-22-2-220000000000
χ42222-2-2-2-2222222-2-2-2-22-2-22-2-2-22-222220-20000000000000000002200-2-2000000000000000000-2-222-222-20000000000
χ43222-2-2-2-2222222-2-2-2-22-2-22-2-2-22-2222-202000000000000000000-2-2002200000000000000000022-2-2-222-20000000000
χ44222-2-2-2-2222222-2-2-2-22-2-22-2-2-22-2222-202000000000000000000-2-20022000000000000000000-2-2222-2-220000000000
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χ5344444-4-4-4-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+50000004-40000000000000000000000000−1+51−5−1−51+500000000000000000000000000
χ5444444-4-4-4-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+51−51+5000000-4400000000000000000000000001−5−1+51+5−1−500000000000000000000000000
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χ57444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+51−51−5−1−51+51+5−1+51−5−1−51+51−51+500004i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000
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χ64444-4-4-4-444−1−5−1+5−1−5−1+51+51+51−51−5−1−51+51+5−1+51−51−51+5−1−51−5−1+5−1−5−1+5-4040000000000000000001+51−500−1−5−1+5000000000000000000000000000000000000
χ6544-44-44-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−5−1+51−51+5−1−51+51−51−51+51+5−1+5−1−5000000004-40000000000000000000000000000000−1+51−5−1−51+5000000000000000000
χ6644-44-44-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−5−1+51−51+5−1−51+51−51−51+51+5−1+5−1−500000000-4400000000000000000000000000000001−5−1+51+5−1−5000000000000000000
χ6744-44-44-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+5−1−51+51−5−1+51−51+51+51−51−5−1−5−1+5000000004-40000000000000000000000000000000−1−51+5−1+51−5000000000000000000
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χ7144-44-4-444-4−1+5−1−5−1+5−1−51−51−51+51+51−5−1+51−51+5−1−51+5−1+5−1+5−1−5−1−51−51+50000000000002ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ38−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ140000000000000000000000000000000000000000000
χ7244-44-4-444-4−1−5−1+5−1−5−1+51+51+51−51−51+5−1−51+51−5−1+51−5−1−5−1−5−1+5−1+51+51−50000000000002ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000
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χ7444-4-444-44-444444444-4-44-4-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000
χ7544-4-444-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−5−1+51+51+5−1−51−5−1+51+5−1−51−51+50000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ7644-4-444-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−5−1+51+51+5−1−51−5−1+51+5−1−51−51+500000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000
χ7744-4-444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+5−1−51−5−1+51+51−500000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000
χ7844-4-444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+5−1−51−5−1+51+51−50000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000
χ7944-4-44-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+51−5−1−51+5−1+5−1−5040-40000000000000000000−1+5−1−5001−51+50000000000000000000000000000000000
χ8044-4-44-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+51−5−1−51+5−1+5−1−50-40400000000000000000001−51+500−1+5−1−50000000000000000000000000000000000
χ8144-4-44-44-44−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−51+5−1+51−5−1−5−1+5040-40000000000000000000−1−5−1+5001+51−50000000000000000000000000000000000
χ8244-4-44-44-44−1−5−1+5−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−51+5−1+51−5−1−5−1+50-40400000000000000000001+51−500−1−5−1+50000000000000000000000000000000000
χ838-8000000088-8-8000000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ848-8000000088-8-800000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ858-80000000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000000000000000002i2−2i22ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ372ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ310000000000000000000000000000000000000000000
χ868-80000000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ140000000000000000000000−2i22i2−2ζ7−2ζ132ζ7+2ζ13−2ζ23−2ζ372ζ23+2ζ37−2ζ21−2ζ392ζ21+2ζ39−2ζ29−2ζ312ζ29+2ζ310000000000000000000000000000000000000000000
χ878-80000000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000000000002i2−2i22ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ132ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ390000000000000000000000000000000000000000000
χ888-80000000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ140000000000000000000000−2i22i2−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ13−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ390000000000000000000000000000000000000000000
χ898-80000000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000000000002i2−2i22ζ21+2ζ39−2ζ21−2ζ392ζ29+2ζ31−2ζ29−2ζ312ζ23+2ζ37−2ζ23−2ζ372ζ7+2ζ13−2ζ7−2ζ130000000000000000000000000000000000000000000
χ908-80000000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ380000000000000000000000−2i22i2−2ζ21−2ζ392ζ21+2ζ39−2ζ29−2ζ312ζ29+2ζ31−2ζ23−2ζ372ζ23+2ζ37−2ζ7−2ζ132ζ7+2ζ130000000000000000000000000000000000000000000
χ918-80000000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000000000002i2−2i22ζ29+2ζ31−2ζ29−2ζ312ζ21+2ζ39−2ζ21−2ζ392ζ7+2ζ13−2ζ7−2ζ132ζ23+2ζ37−2ζ23−2ζ370000000000000000000000000000000000000000000
χ928-80000000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ380000000000000000000000−2i22i2−2ζ29−2ζ312ζ29+2ζ31−2ζ21−2ζ392ζ21+2ζ39−2ζ7−2ζ132ζ7+2ζ13−2ζ23−2ζ372ζ23+2ζ370000000000000000000000000000000000000000000

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