Finite Group Databasebeta

← Group #12136851

Character table — Group #12136851

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222222222224444444444444444444488888888888888888888888888888888888816161616161616161616161616161640404040404040404040404040404040
order1222244445510101010101022224444101010102020202020202020448810101010101010102020202020202020202020202020202040404040404040404482020202020202020404040402244888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-111-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1
χ61111111111111111111-1-111-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111
χ71111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111-11-1-1-1-1-1111111-1-1
χ81111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-11-111111-1-1-1-1-1-111
χ911111111111111111-1-111-1-111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ1011111111111111111-1-111-1-111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ1111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ1211111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1311111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-1-1-111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-11111-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-11111-1-1-1-111
χ1611111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1111-1-1-1-11111-1-1
χ17222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ18222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ19222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52−1−52−1−52-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ20222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ21222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ22222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ23222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222221−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−522-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ24222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ25222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ26222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521−521−521−52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ27222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ28222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ29222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ30222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ31222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222221+521+521−521−521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ32222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−521+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+521+521+521+521+521−521−521−521−52-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ3322222-2-2-2-222222222002-2002-22222-2-2-2-2-2-2-2-2000000002-22-200002-22-2000000000000000000000000000000000002i−2i002i−2i000000
χ3422222-2-2-2-222222222002-2002-22222-2-2-2-2-2-2-2-2000000002-22-200002-22-200000000000000000000000000000000000−2i2i00−2i2i000000
χ3522222-2-2-2-22222222200-2200-222222-2-2-2-2-2-2-2-200000000-22-220000-22-22000000000000000000000000000000000002i−2i00−2i2i000000
χ3622222-2-2-2-22222222200-2200-222222-2-2-2-2-2-2-2-200000000-22-220000-22-2200000000000000000000000000000000000−2i2i002i−2i000000
χ37222-2-2-22-2222-2-2-2-2222-2002-2002-22-22-22-22-22-200002-22-200002-22-200000000000000000000000000000000000020-200000000002-2
χ38222-2-2-22-2222-2-2-2-2222-2002-2002-22-22-22-22-22-200002-22-200002-22-2000000000000000000000000000000000000-2020000000000-22
χ39222-2-2-22-2222-2-2-2-222-2200-22002-22-22-22-22-22-20000-22-220000-22-2200000000000000000000000000000000000020-20000000000-22
χ40222-2-2-22-2222-2-2-2-222-2200-22002-22-22-22-22-22-20000-22-220000-22-22000000000000000000000000000000000000-20200000000002-2
χ4122-22-2-2-22222-2-2-2-2222-200-2200-22-22-22-222-22-200002-22-20000-22-220000000000000000000000000000000000020-20000000002-200
χ4222-22-2-2-22222-2-2-2-2222-200-2200-22-22-22-222-22-200002-22-20000-22-2200000000000000000000000000000000000-202000000000-2200
χ4322-22-2-2-22222-2-2-2-222-22002-200-22-22-22-222-22-20000-22-2200002-22-20000000000000000000000000000000000020-2000000000-2200
χ4422-22-2-2-22222-2-2-2-222-22002-200-22-22-22-222-22-20000-22-2200002-22-200000000000000000000000000000000000-2020000000002-200
χ4522-2-222-2-2222222222222-2-2-2-22-2-2-2-2-2-2-2-222222-20022222-22-2-2-2-2-2-22-2222-2-222-2-2000000000000000000000000000000000000000
χ4622-2-222-2-222222222222-22-2-22-2-2-2-2-2-2-2-2-22222-22002222-22-22-2-2-2-22-22-2-2-222-2-222000000000000000000000000000000000000000
χ4722-2-222-2-2222222222-2-22-222-22-2-2-2-2-2-2-2-22222-2200-2-2-2-22-22-22222-22-22-2-222-2-222000000000000000000000000000000000000000
χ4822-2-222-2-2222222222-2-2-22222-2-2-2-2-2-2-2-2-222222-200-2-2-2-2-22-2222222-22-222-2-222-2-2000000000000000000000000000000000000000
χ4922-2-222-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200−1+52−1+52−1−52−1−52−1+521−52−1−521+521−521−521+521+521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ5022-2-222-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200−1+52−1+52−1−52−1−52−1+521−52−1−521+521−521−521+521+521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ5122-2-222-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-22-2-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2200−1+52−1+52−1−52−1−521−52−1+521+52−1−521−521−521+521+52−1+521−52−1−521+521−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.