Finite Group Databasebeta

← Group #244765

Character table — Group #244765

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442444444422444444448888244444444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-11-111-1111-1-1-1111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-111-111-1-1111-1-1-111-1-1-1-1-1
χ511111111111111-1-1111-1-111-111111111-11-1-11-1-1-1-1-11111-1-111-1-1-1
χ611111111111111-1-1111-1-111-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1
χ711111111111111-1-1111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111111-1-1111
χ811111111111111-1-1111-1-111-1-1-1-1-1-1-11111-111-111-1-11-1-1-1-1-1-1-1111
χ9111111111111-1-11111-111-1-11111111111-1-11-1-1-1-1-1-111-1-111-1-111-1
χ10111111111111-1-11111-111-1-111111-1-1-1-1-11-1-11-11111-1-111-1-1-1-111-1
χ11111111111111-1-11111-111-1-11-1-1-1-111-1-111-111-1-1-111-11-1-1-1-111-1-11
χ12111111111111-1-11111-111-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1111111-1-11
χ13111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11-1-11111111-1-1-1-1-1-1-1-11
χ14111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-11-1-1111111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-1111-111-1-11111-1
χ17222222-222-2-2-22200-22200-2-20000000220200-200000-20000000000
χ18222222-222-2-2-22200-22200-2-20000000-2-20-20020000020000000000
χ19222222-222-2-2-2-2-200-22-200220000000220-200200000-20000000000
χ20222222-222-2-2-2-2-200-22-200220000000-2-20200-20000020000000000
χ2122222-222-22-2-200222-20-2-200200002200-20020000000-2000000000
χ2222222-222-22-2-200222-20-2-20020000-2-200200-200000002000000000
χ2322222-222-22-2-200-2-22-202200-200002200200-20000000-2000000000
χ2422222-222-22-2-200-2-22-202200-20000-2-200-200200000002000000000
χ252222-222-222-222222-2-2-22-22-2-20000000000-2002000000000000000
χ262222-222-222-2222-2-2-2-2-2-222-220000000000200-2000000000000000
χ272222-222-222-22-2-222-2-222-2-22-20000000000200-2000000000000000
χ282222-222-222-22-2-2-2-2-2-22-22-2220000000000-2002000000000000000
χ292222-22-2-22-22-222002-2-200-22000000000000000002-200002-200000
χ302222-22-2-22-22-222002-2-200-2200000000000000000-220000-2200000
χ312222-22-2-22-22-2-2-2002-22002-2000000000000000002-20000-2200000
χ322222-22-2-22-22-2-2-2002-22002-200000000000000000-2200002-200000
χ332222-2-22-2-222-20022-220-2200-2000000000000002-200002-20000000
χ342222-2-22-2-222-20022-220-2200-200000000000000-220000-220000000
χ352222-2-22-2-222-200-2-2-2202-2002000000000000002-20000-220000000
χ362222-2-22-2-222-200-2-2-2202-200200000000000000-2200002-20000000
χ3744444-4-44-4-4440000-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400004400000000000000000000000000000000000
χ3944-4-4400-4000000000000000022-2-222−2222−22000000000000000000000
χ4044-4-4400-4000000000000000022-2-2−2222−2222000000000000000000000
χ4144-4-4400-40000000000000000-2-22222−22−2222000000000000000000000
χ4244-4-4400-40000000000000000-2-222−222222−22000000000000000000000
χ434-44-40-40040004i−4i00000000002-22-2000000000000000000002i−2i000
χ444-44-40-40040004i−4i0000000000-22-2200000000000000000000−2i2i000
χ454-44-40-4004000−4i4i00000000002-22-200000000000000000000−2i2i000
χ464-44-40-4004000−4i4i0000000000-22-22000000000000000000002i−2i000
χ474-4-4400400-400004i−4i000000002-2-2200000000000000000000002i−2i0
χ484-4-4400400-400004i−4i00000000-222-20000000000000000000000−2i2i0
χ494-4-4400400-40000−4i4i000000002-2-220000000000000000000000−2i2i0
χ504-4-4400400-40000−4i4i00000000-222-200000000000000000000002i−2i0
χ5188-8-8-8008000000000000000000000000000000000000000000000
χ528-88-80800-800000000000000000000000000000000000000000000
χ538-8-8800-80080000000000000000000000000000000000000000000

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