Finite Group Databasebeta

← Group #244752

Character table — Group #244752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444488888888888888161616161616161616161616161616161616161632
order12224444442444444422444444448888244444444488888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ511111111111111-1-1111-111-1-111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1
χ611111111111111-1-1111-111-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1
χ711111111111111-1-1111-111-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1111
χ811111111111111-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-1111
χ9111111111111-1-11111-11-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1
χ10111111111111-1-11111-11-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1
χ11111111111111-1-11111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-11
χ12111111111111-1-11111-11-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-111-1-11
χ13111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1111-1-11-1-1-1-1-1-11
χ14111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-111-111-1-1-1-11
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1-1-1111111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1111-1-11111-1
χ17222222-222-2-2-200222-20-2002-2000000220000002-200000-20000000
χ18222222-222-2-2-200222-20-2002-2000000-2-2000000-220000020000000
χ19222222-222-2-2-200-2-22-20200-2200000022000000-2200000-20000000
χ20222222-222-2-2-200-2-22-20200-22000000-2-20000002-20000020000000
χ2122222-222-22-2-22200-22-202-20000002200002-2000000-20000000000
χ2222222-222-22-2-22200-22-202-2000000-2-20000-2200000020000000000
χ2322222-222-22-2-2-2-200-2220-22000000220000-22000000-20000000000
χ2422222-222-22-2-2-2-200-2220-22000000-2-200002-200000020000000000
χ252222-222-222-222222-2-2-2-2-22-2200000000-220000000000000000000
χ262222-222-222-2222-2-2-2-2-22-222-2000000002-20000000000000000000
χ272222-222-222-22-2-222-2-22-22-2-22000000002-20000000000000000000
χ282222-222-222-22-2-2-2-2-2-2222-22-200000000-220000000000000000000
χ292222-22-2-22-22-20022-220200-2-200000000000000002-200002-200000
χ302222-22-2-22-22-20022-220200-2-20000000000000000-220000-2200000
χ312222-22-2-22-22-200-2-2-220-2002200000000000000002-20000-2200000
χ322222-22-2-22-22-200-2-2-220-200220000000000000000-2200002-200000
χ332222-2-22-2-222-222002-220-2-2000000000000002-2000002-200000000
χ342222-2-22-2-222-222002-220-2-200000000000000-2200000-2200000000
χ352222-2-22-2-222-2-2-2002-2-2022000000000000002-200000-2200000000
χ362222-2-22-2-222-2-2-2002-2-202200000000000000-22000002-200000000
χ3744444-4-44-4-4440000-4-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400004400000000000000000000000000000000000
χ3944-4-400-4004004-400000000002i2i−2i−2i000000000000000000002i−2i000
χ4044-4-400-4004004-40000000000−2i−2i2i2i00000000000000000000−2i2i000
χ4144-4-400-400400-4400000000002i2i−2i−2i00000000000000000000−2i2i000
χ4244-4-400-400400-440000000000−2i−2i2i2i000000000000000000002i−2i000
χ434-44-40-4004000004-4000000002i−2i2i−2i00000000000000000000002i−2i0
χ444-44-40-4004000004-400000000−2i2i−2i2i0000000000000000000000−2i2i0
χ454-44-40-400400000-44000000002i−2i2i−2i0000000000000000000000−2i2i0
χ464-44-40-400400000-4400000000−2i2i−2i2i00000000000000000000002i−2i0
χ474-4-44-400400000000000000002-2-222i2−2i22i2−2i2000000000000000000000
χ484-4-44-400400000000000000002-2-22−2i22i2−2i22i2000000000000000000000
χ494-4-44-40040000000000000000-222-22i2−2i2−2i22i2000000000000000000000
χ504-4-44-40040000000000000000-222-2−2i22i22i2−2i2000000000000000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-88-80800-800000000000000000000000000000000000000000000
χ538-8-88800-8000000000000000000000000000000000000000000000

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