Finite Group Databasebeta

← Group #258276

Character table — Group #258276

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-111-1-11-1-1-1-1-1-11-111-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-11-1-1-1-1-1-11-111-11-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-1-1-111111-11-11-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-1-1-111111-11-11-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-111-11-11-1111-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-11-11-11-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-1-111-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-1-111-11111-1-1-1-1-1111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-22220000-200000-200000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-220000200000200000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-20000-200000200000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-20000200000-200000000000000000
χ2122222222-2-2-2-2222-2-22002-200-200000020-2-2020000000000000000
χ2222222222-2-2-2-2222-2-22002-200-2000000-20220-20000000000000000
χ2322222222-2-2-2-222-222-200-2200-222-2-2020-200000000000000000000
χ2422222222-2-2-2-222-222-200-2200-2-2-2220-20200000000000000000000
χ2522222222-2-2-2-2-2-22-2-2200-2200200000020-220-20000000000000000
χ2622222222-2-2-2-2-2-22-2-2200-22002000000-202-2020000000000000000
χ2722222222-2-2-2-2-2-2-222-2002-200222-2-20-20200000000000000000000
χ2822222222-2-2-2-2-2-2-222-2002-2002-2-222020-200000000000000000000
χ2922-22-2-22-222-2-200-22-2200000002i−2i2i−2i00000000002i−2i0000002-20000
χ3022-22-2-22-222-2-200-22-2200000002i−2i2i−2i0000000000−2i2i000000-220000
χ3122-22-2-22-222-2-200-22-220000000−2i2i−2i2i00000000002i−2i000000-220000
χ3222-22-2-22-222-2-200-22-220000000−2i2i−2i2i0000000000−2i2i0000002-20000
χ3322-22-2-22-2-2-2220022-2-200000002i−2i−2i2i000000002-20000002i−2i000000
χ3422-22-2-22-2-2-2220022-2-200000002i−2i−2i2i00000000-22000000−2i2i000000
χ3522-22-2-22-2-2-2220022-2-20000000−2i2i2i−2i000000002-2000000−2i2i000000
χ3622-22-2-22-2-2-2220022-2-20000000−2i2i2i−2i00000000-220000002i−2i000000
χ3744-44-4-44-444-4-4004-44-400000000000000000000000000000000000
χ3844-44-4-44-4-4-44400-4-44400000000000000000000000000000000000
χ3944-4-44-4-4400004i−4i0000000000000000000000000002i−2i2-200000000
χ4044-4-44-4-4400004i−4i000000000000000000000000000−2i2i-2200000000
χ4144-4-44-4-440000−4i4i0000000000000000000000000002i−2i-2200000000
χ4244-4-44-4-440000−4i4i000000000000000000000000000−2i2i2-200000000
χ434-4444-4-4-44-44-400000000004-400000000000000000000000000000
χ444-4444-4-4-44-44-40000000000-4400000000000000000000000000000
χ454-4444-4-4-4-44-440000004i−4i000000000000000000000000000000000
χ464-4444-4-4-4-44-44000000−4i4i000000000000000000000000000000000
χ474-4-44-44-444-4-44000000000000000000000000000000000000022−2200
χ484-4-44-44-444-4-440000000000000000000000000000000000000−222200
χ494-4-44-44-44-444-40000000000000000000000000000000000000002i2−2i2
χ504-4-44-44-44-444-4000000000000000000000000000000000000000−2i22i2
χ51888-8-88-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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