Finite Group Databasebeta

← Group #502702

Character table — Group #502702

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442224444444444442244444444444888844
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-111-1-1-1111-11-11-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ511111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-111-111111-1-1-1-1-1-1
χ611111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ711111111111111-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-11111-1-1
χ811111111111111-1-1-1-111-1-1-1-111-1-111-1-1111-1-1-11-1-1-1-11111-1-1-1-111
χ9111111-1-111111-111111-111-1-1-1-1-1-1-1-11111-11-111-11-1-111-1-111-1-11-1
χ10111111-1-111111-111111-111-1-1-1-1-1-1-1-11111-1-11-1111-1-1-1-111-1-111-11
χ11111111-1-111111-111111-1-1-1-1-1-1-1111111-1-111-11-1-1-1-11-1-111-1-1111-1
χ12111111-1-111111-111111-1-1-1-1-1-1-1111111-1-11-11-1-11-1-1111-1-111-1-1-11
χ13111111-1-111111-1-1-1-1-11-11111-1-1-1-111-1-1-1-111-11-1-111-111-1-1-1-111-11
χ14111111-1-111111-1-1-1-1-11-11111-1-1-1-111-1-1-1-11-11-1-1111-1-1-11111-1-11-1
χ15111111-1-111111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-11-111-1-111-1-11111-1-1-11
χ16111111-1-111111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-11-111-11111-1-1-1-1111-1
χ17222222222-2-22-220000-2-222002-222000000000000-20-20000000000
χ18222222222-2-22-220000-2-2-2-2002-2-2-20000000000002020000000000
χ1922222222-222-2-222222-2-20022-220000-2-2000000000-200000000000
χ2022222222-222-2-22-2-2-2-2-2-200-2-2-22000022000000000200000000000
χ2122222222-2-2-2-2220000220000-2-200220022-2000-200000000000000
χ2222222222-2-2-2-2220000220000-2-200-2-200-2-22000200000000000000
χ23222222-2-22-2-22-2-20000-222200-22-2-2000000000000-2020000000000
χ24222222-2-22-2-22-2-20000-22-2-200-222200000000000020-20000000000
χ25222222-2-2-222-2-2-22222-2200-2-22-20000-2-2000000000200000000000
χ26222222-2-2-222-2-2-2-2-2-2-2-2200222-2000022000000000-200000000000
χ27222222-2-2-2-2-2-22-200002-2000022002200-2-2-2000200000000000000
χ28222222-2-2-2-2-2-22-200002-200002200-2-200222000-200000000000000
χ292-22-22-20022-2-2-202i2i−2i−2i2000000000002i−2i00000000000002i−2i002-200
χ302-22-22-20022-2-2-202i2i−2i−2i2000000000002i−2i0000000000000−2i2i00-2200
χ312-22-22-20022-2-2-20−2i−2i2i2i200000000000−2i2i00000000000002i−2i00-2200
χ322-22-22-20022-2-2-20−2i−2i2i2i200000000000−2i2i0000000000000−2i2i002-200
χ332-22-22-200-22-22202i2i−2i−2i-200000000000−2i2i000000000002-2002i−2i0000
χ342-22-22-200-22-22202i2i−2i−2i-200000000000−2i2i00000000000-2200−2i2i0000
χ352-22-22-200-22-2220−2i−2i2i2i-2000000000002i−2i000000000002-200−2i2i0000
χ362-22-22-200-22-2220−2i−2i2i2i-2000000000002i−2i00000000000-22002i−2i0000
χ374444-4-44400000-40000000000000000000002-2-2020000000000000
χ384444-4-44400000-4000000000000000000000-2220-20000000000000
χ394444-4-4-4-400000400000000000000000000022-20-20000000000000
χ404444-4-4-4-4000004000000000000000000000-2-22020000000000000
χ4144-4-4004i−4i0000002i−2i2i−2i002-22-2002i−2i2-2002i−2i0000000000000000000
χ4244-4-4004i−4i0000002i−2i2i−2i00-222-200−2i2i-2200−2i2i0000000000000000000
χ4344-4-4004i−4i000000−2i2i−2i2i002-2-22002i−2i-2200−2i2i0000000000000000000
χ4444-4-4004i−4i000000−2i2i−2i2i00-22-2200−2i2i2-2002i−2i0000000000000000000
χ4544-4-400−4i4i0000002i−2i2i−2i002-2-2200−2i2i-22002i−2i0000000000000000000
χ4644-4-400−4i4i0000002i−2i2i−2i00-22-22002i−2i2-200−2i2i0000000000000000000
χ4744-4-400−4i4i000000−2i2i−2i2i002-22-200−2i2i2-200−2i2i0000000000000000000
χ4844-4-400−4i4i000000−2i2i−2i2i00-222-2002i−2i-22002i−2i0000000000000000000
χ494-44-44-4004-44-4400000-40000000000000000000000000000000000
χ504-44-44-400-4-444-40000040000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

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