Finite Group Databasebeta

← Group #249939

Character table — Group #249939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222444444444888888888888888888161616161616161616161616161616163232
order12222244222244444224444444444448888244444448888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-11-11-1-1-1-1-1-1-1-1-1111-1-1
χ311111111111111111111-1-1111-1-1-1-1-1-111-1-1111111-1-1111-1-1-1-1-1-1-1
χ411111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-111-1-1-111
χ5111111111111111111-1-1111-1-111111111-1-11-1-1-11-1-1-11-1-111-1-1-11-1
χ6111111111111111111-1-1111-1-1111111-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-11
χ7111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-11-1111-1-1-1-1111-11
χ8111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-111111111-1
χ9111111111-1-11-1-1111-11111-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ10111111111-1-11-1-1111-11111-11111-1-1-1-1-1-1111-11-111-1-1-1-1-1-1-11-1-111
χ11111111111-1-11-1-1111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111
χ12111111111-1-11-1-1111-111-1-1-111-1-11111-1-1-1-11-11-11111-1-1-111-111-1-1
χ13111111111-1-11-1-1111-1-1-111-1-1-111-1-1-1-111-1-1-1111-11-1-11-1-111-111-11
χ14111111111-1-11-1-1111-1-1-111-1-1-111-1-1-1-1-1-1-1-111-111-111-111-1-1-1111-1
χ15111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-1111-11111-1-1-1-11-1-11-1
χ16111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-111111-1-1-11
χ1722222222-222-2-2-22-2-220000-20000000022002000-2000-2000000000
χ1822222222-222-2-2-22-2-220000-200000000-2-200-200020002000000000
χ1922222222-2-2-2-2222-2-2-200002000000002200-20002000-2000000000
χ2022222222-2-2-2-2222-2-2-20000200000000-2-2002000-20002000000000
χ21222222-2-2-200-200-222022220-2-2-2-2000000220000000000000-20000
χ22222222-2-2-200-200-222022-2-20-2-222000000-2-2000000000000020000
χ23222222-2-2-200-200-2220-2-222022-2-2000000-2-2000000000000020000
χ24222222-2-2-200-200-2220-2-2-2-202222000000220000000000000-20000
χ252222-2-222222-222-2-22-22-200-22-20000000000020-200000000000000
χ262222-2-222222-222-2-22-2-2200-2-2200000000000-20200000000000000
χ272222-2-2222-2-2-2-2-2-2-2222-20022-200000000000-20200000000000000
χ282222-2-2222-2-2-2-2-2-2-222-22002-220000000000020-200000000000000
χ292222-2-222-2222-2-2-22-2-20000200000000000000200-20002-20000000
χ302222-2-222-2222-2-2-22-2-20000200000000000000-2002000-220000000
χ312222-2-222-2-2-2222-22-220000-200000000000000200-2000-220000000
χ322222-2-222-2-2-2222-22-220000-200000000000000-20020002-20000000
χ332222-2-2-2-2-2002002-2202-2000-220022-2-20000000000000000002-200
χ342222-2-2-2-2-2002002-2202-2000-2200-2-222000000000000000000-2200
χ352222-2-2-2-2-2002002-220-220002-20022-2-2000000000000000000-2200
χ362222-2-2-2-2-2002002-220-220002-200-2-2220000000000000000002-200
χ37444444-4-4400400-4-4-4000000000000000000000000000000000000
χ384444-4-4-4-4400-40044-4000000000000000000000000000000000000
χ3944-4-44-4000000000000000000000000022−2222−220000002-20000000000
χ4044-4-44-4000000000000000000000000022−22−2222000000-220000000000
χ4144-4-44-40000000000000000000000000−222222−22000000-220000000000
χ4244-4-44-40000000000000000000000000−2222−22220000002-20000000000
χ434-44-4004-400004-40000002i−2i0002i−2i2i−2i2i−2i0000000000000000000000
χ444-44-4004-400004-4000000−2i2i000−2i2i−2i2i−2i2i0000000000000000000000
χ454-44-4004-40000-440000002i−2i0002i−2i−2i2i−2i2i0000000000000000000000
χ464-44-4004-40000-44000000−2i2i000−2i2i2i−2i2i−2i0000000000000000000000
χ474-44-400-4404-40000000002i−2i000−2i2i2i−2i−2i2i0000000000000000000000
χ484-44-400-4404-4000000000−2i2i0002i−2i−2i2i2i−2i0000000000000000000000
χ494-44-400-440-440000000002i−2i000−2i2i−2i2i2i−2i0000000000000000000000
χ504-44-400-440-44000000000−2i2i0002i−2i2i−2i−2i2i0000000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000000000000000022−2200000
χ538-8-88000000000000000000000000000000000000000000−222200000

Here i is the imaginary unit (i² = −1).