Finite Group Databasebeta

← Group #12131836

Character table — Group #12131836

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222222222222444444444444444444444444444444888888888888888888888161616161616161616161616161616161616161640404040404040404040404040404040
order1222244445510102020202022444444441010101010102020202020202020202020202020410101010202020202020202020202020202020204488202020202020202040404040404040402222444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ6111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111
χ911111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1111-1-1-11-1-1-11111-1-1
χ1011111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1111-1111-1-1-1-111
χ1111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-11-1-1-11-1-111-1-111
χ1211111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-11-1111-111-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1111-11-1-1-1-111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-11-1-1-11-11111-1-111
χ1511111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1111-1111-1-1-1-1-1-1-111
χ1611111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-11111111-1-1
χ17222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ19222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+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+52−1−52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2−1+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+52-2-2221−521−521+521+521−521−521+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+52−1−52−1−52-2-2-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521−521+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ22222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ23222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ24222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ25222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+522222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+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+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+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+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52-2-2221+521+521−521−521+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+52-2-2-2-22222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+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+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ30222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+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+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ31222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ32222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5221+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3322222-2-2-2-22222-2-2-2-22-22-2000000222222-2-200000000-2-2-2-202-22-22-22-20000000000000000000000000000000000002-200002-20000
χ3422222-2-2-2-22222-2-2-2-22-22-2000000222222-2-200000000-2-2-2-202-22-22-22-2000000000000000000000000000000000000-220000-220000
χ3522222-2-2-2-22222-2-2-2-2-22-22000000222222-2-200000000-2-2-2-20-22-22-22-220000000000000000000000000000000000002-20000-220000
χ3622222-2-2-2-22222-2-2-2-2-22-22000000222222-2-200000000-2-2-2-20-22-22-22-22000000000000000000000000000000000000-2200002-20000
χ37222-2-222-2-22222222200002i2i−2i−2i002-22-2-2-2-2-2000000002-22-20000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000002000-20000002i−2i
χ38222-2-222-2-22222222200002i2i−2i−2i002-22-2-2-2-2-2000000002-22-20000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000-20002000000−2i2i
χ39222-2-222-2-2222222220000−2i−2i2i2i002-22-2-2-2-2-2000000002-22-2000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000002000-2000000−2i2i
χ40222-2-222-2-2222222220000−2i−2i2i2i002-22-2-2-2-2-2000000002-22-2000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000-200020000002i−2i
χ4122-22-22-22-22222222200002i−2i2i−2i00-22-22-2-2-2-200000000-22-220000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002000-2000002i−2i00
χ4222-22-22-22-22222222200002i−2i2i−2i00-22-22-2-2-2-200000000-22-220000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000-2000200000−2i2i00
χ4322-22-22-22-2222222220000−2i2i−2i2i00-22-22-2-2-2-200000000-22-22000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000002000-200000−2i2i00
χ4422-22-22-22-2222222220000−2i2i−2i2i00-22-22-2-2-2-200000000-22-22000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000-20002000002i−2i00
χ4522-2-222-2-22222222222-2-222-2-2222-2-2-2-2222222222222-2-2-2-2-22-22-2-22-222-2-222-2-22-2-2-2-2000000000000000000000000000000000000
χ4622-2-222-2-22222222222-2-22-222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-22-2-22-22-222-2-222-22222000000000000000000000000000000000000
χ4722-2-222-2-2222222222-222-22-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-22-222-22-22-2-222-2-222222000000000000000000000000000000000000
χ4822-2-222-2-2222222222-222-2-222-222-2-2-2-2222222222222-2-2-2-2-2-22-222-22-2-222-2-222-2-2-2-2-2000000000000000000000000000000000000
χ4922-2-222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-22221−521−521+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+52-2−1+521−52−1−521+521−52−1+521+52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521−521+521+520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
χ5022-2-222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-222-2-22221−521−521+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+52-2−1+521−52−1−521+521−52−1+521+52−1−52−1+521−521−52−1+52−1−521+521+52−1−521−521−521+521+520000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
χ5122-2-222-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+522−1+521−52−1−521+521−52−1+521+52−1−521−52−1+52−1+521−521+52−1−52−1−521+52−1+52−1+52−1−52−1−520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
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χ1028-80000000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1900000000−4i4i00000000−2ζ2+2ζ3+2ζ7+2ζ182ζ2−2ζ3−2ζ7−2ζ182ζ2+2ζ3+2ζ7−2ζ18−2ζ2−2ζ3−2ζ7+2ζ182ζ6+2ζ11−2ζ14+2ζ19−2ζ6−2ζ11+2ζ14−2ζ19−2ζ6+2ζ11+2ζ14+2ζ192ζ6−2ζ11−2ζ14−2ζ190000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000004i−4i00000000−2ζ2−2ζ3−2ζ7+2ζ182ζ2+2ζ3+2ζ7−2ζ182ζ2−2ζ3−2ζ7−2ζ18−2ζ2+2ζ3+2ζ7+2ζ182ζ6−2ζ11−2ζ14−2ζ19−2ζ6+2ζ11+2ζ14+2ζ19−2ζ6−2ζ11+2ζ14−2ζ192ζ6+2ζ11−2ζ14+2ζ190000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000−4i4i000000002ζ2+2ζ3+2ζ7−2ζ18−2ζ2−2ζ3−2ζ7+2ζ18−2ζ2+2ζ3+2ζ7+2ζ182ζ2−2ζ3−2ζ7−2ζ18−2ζ6+2ζ11+2ζ14+2ζ192ζ6−2ζ11−2ζ14−2ζ192ζ6+2ζ11−2ζ14+2ζ19−2ζ6−2ζ11+2ζ14−2ζ190000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.