Finite Group Databasebeta

← Group #12137364

Character table — Group #12137364

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222222222244444444444488888888888888888888161616161616161616161616161616161616161616161616162020202020202020202020204040404040408080
order1222224444551010101010101010101020202020202020202224444488882020202020202020410101010101020202020202020202020404040404040404022224444888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-11-1-1
χ4111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111
χ511111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11-1-1-1
χ611111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-11-1
χ10111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-11
χ11111111111111111111111111111111-1-11-1-111111-1-111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-11
χ12111111111111111111111111111111-1-11-1-111111-1-111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1111-1
χ13111111111111111111111111111111-1-1-111-111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-11
χ14111111111111111111111111111111-1-1-111-111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-1
χ15111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-111-1
χ16111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1111-1-11
χ172222222222−1+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+52−1−52−1−5200000000000000000000
χ182222222222−1+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+52−1−52−1−52222-2-22-2-2-2-2221−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ192222222222−1+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+52−1−52−1−5222-222-2-2-222-2-21−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ202222222222−1+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+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ212222222222−1+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+52−1−52−1−52-2-22222-2-2-2-2-2-21−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ222222222222−1+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+52−1−52−1−52-2-22-2-222222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ232222222222−1+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+52−1−52−1−52-2-2-222-222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ242222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222221−521−521−521−521+521+521+521+5221−521−521+521+521−521+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+52−1−52−1−5200000000000000000000
χ252222222222−1−52−1+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+5200000000000000000000
χ262222222222−1−52−1+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+52222-2-22-2-2-2-2221+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ272222222222−1−52−1+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+5222-222-2-2-222-2-21+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ282222222222−1−52−1+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+5222-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ292222222222−1−52−1+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+52-2-22222-2-2-2-2-2-21+521+521+521+521−521−521−521−5221+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+521+521+521−521−521+521+521−521−5200000000000000000000
χ302222222222−1−52−1+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+52-2-22-2-222222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ312222222222−1−52−1+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+52-2-2-222-222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ322222222222−1−52−1+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+52-2-2-2-2-2-2-2-222221+521+521+521+521−521−521−521−5221+521+521−521−521+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+5200000000000000000000
χ332222-2-22-2-2222222222-2-2-2-22-22-22-22-200200-20000000000000000000220000-2-2000000000000002200-2-200-2-200000200
χ342222-2-22-2-2222222222-2-2-2-22-22-22-22-200200-20000000000000000000220000-2-200000000000000-2-20022002200000-200
χ352222-2-22-2-2222222222-2-2-2-22-22-22-22-200-20020000000000000000000-2-2000022000000000000002200-2-2002200000-200
χ362222-2-22-2-2222222222-2-2-2-22-22-22-22-200-20020000000000000000000-2-200002200000000000000-2-2002200-2-200000200
χ372222-2-2-222-222222222-2-2-2-2-22-22-22-220002-200000000000000000000002-22-2000000000000002200-2-200-2-20000002000
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χ392222-2-2-222-222222222-2-2-2-2-22-22-22-22000-220000000000000000000000-22-22000000000000002200-2-20022000000-2000
χ402222-2-2-222-222222222-2-2-2-2-22-22-22-22000-220000000000000000000000-22-2200000000000000-2-2002200-2-20000002000
χ412-2-222-222-2-222-2-2-2-22222-2-22222-2-2-2-2000000002i−2i00000000000000000000000000000002i−2i2i−2i2-2002-20000002i−2i000000
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χ432-2-222-222-2-222-2-2-2-22222-2-22222-2-2-2-200000000−2i2i0000000000000000000000000000000−2i2i−2i2i2-2002-2000000−2i2i000000
χ442-2-222-222-2-222-2-2-2-22222-2-22222-2-2-2-200000000−2i2i0000000000000000000000000000000−2i2i−2i2i-2200-220000002i−2i000000
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χ594444-4-44-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+500-400400000000000000000001−51+50000−1+5−1−500000000000000000000000000000000
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χ624444-4-4-444-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50004-40000000000000000000000−1+51−5−1−51+50000000000000000000000000000000000
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χ654444-4-4-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+5000-4400000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000
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χ714-4-444-444-4-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000−4i4i00000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000
χ724-4-444-444-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−5000000004i−4i0000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000
χ734-4-444-444-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000−4i4i00000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000
χ744-4-444-4-4-444−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000004-40000000000000000000000000−1+51−5−1−51+5000000000000000000000000
χ754-4-444-4-4-444−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000-4400000000000000000000000001−5−1+51+5−1−5000000000000000000000000
χ764-4-444-4-4-444−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000004-40000000000000000000000000−1−51+5−1+51−5000000000000000000000000
χ774-4-444-4-4-444−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000-4400000000000000000000000001+5−1−51−5−1+5000000000000000000000000
χ784-4-44-444-44-444-4-4-4-444-4-4444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000
χ794-4-44-444-44-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000
χ804-4-44-444-44-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000
χ814-4-44-444-44-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000
χ824-4-44-444-44-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000
χ834-4-44-44-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+54-40000000000000000000−1+51−5−1−51+50000000000000000000000000000000000000000
χ844-4-44-44-44-44−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5-4400000000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000
χ854-4-44-44-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−54-40000000000000000000−1−51+5−1+51−50000000000000000000000000000000000000000
χ864-4-44-44-44-44−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5-4400000000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000
χ8788-8-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000
χ8988-8-8000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000
χ9088-8-8000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000
χ9188-8-8000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000
χ928-88-8000000−2+25−2−25−2+252−25−2−252+252−252+250000000000000000004i−4i0000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000
χ938-88-8000000−2+25−2−25−2+252−25−2−252+252−252+25000000000000000000−4i4i00002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000
χ948-88-8000000−2−25−2+25−2−252+25−2+252−252+252−250000000000000000004i−4i0000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000
χ958-88-8000000−2−25−2+25−2−252+25−2+252−252+252−25000000000000000000−4i4i00002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000

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