Finite Group Databasebeta

← Group #268682

Character table — Group #268682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444448888888888888888888161616161616161616161616161616163232
order12224444442444442444444444488888888224444888888888848
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111-111111-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-111-1-111111111-11-1-1-1-1-11-1-1-1-1
χ5111111111111111111-1-1-1-1111111111-1-1-1-11-11-1-1-1-1-1111-1-1111-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-11111-11-11-1-111-1-1-111-111-1-1
χ7111111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-11-11-1-1-11111-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-11-11-1-1-11-1-1-1-1111-1-111
χ91111111111111-1-11-1-11111-1111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-11
χ101111111111111-1-11-1-11111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11
χ111111111111111-1-11-1-11111-1-1-1-1-111-1-111-1-11111-1-11-11-1-1-1-1-1111-1
χ121111111111111-1-11-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1
χ131111111111111-1-11-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-11-1-1111-1-11-1
χ141111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-111111-11-11111-111-1-1-1-1-11-1
χ151111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-111-111-1-111-111-11
χ161111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11111-1-111-1-1111-11
χ17222222-222-2-2-2-20020022-2-20000022002200000000-20-2000000000
χ18222222-222-2-2-2-20020022-2-200000-2-200-2-200000000202000000000
χ19222222-222-2-2-2-200200-2-222000002200-2-20000000020-2000000000
χ20222222-222-2-2-2-200200-2-22200000-2-2002200000000-202000000000
χ2122222-222-22-22-222-22-20000-2000000220000-2020000000000-20000
χ2222222-222-22-22-222-22-20000-2000000-2-2000020-2000000000020000
χ2322222-222-22-22-2-2-2-2-220000200000022000020-20000000000-20000
χ2422222-222-22-22-2-2-2-2-2200002000000-2-20000-202000000000020000
χ252222-222-222-2-2222-2-2-200002000000000022020-2000-20000000000
χ262222-222-222-2-2222-2-2-2000020000000000-2-20-20200020000000000
χ272222-222-222-2-22-2-2-2220000-20000000000220-202000-20000000000
χ282222-222-222-2-22-2-2-2220000-20000000000-2-2020-200020000000000
χ292222-2-22-2-222-2-2222-222-22-2-200000000000000002-2000000000000
χ302222-2-22-2-222-2-2222-22-22-22-20000000000000000-22000000000000
χ312222-2-22-2-222-2-2-2-222-22-22-220000000000000000-22000000000000
χ322222-2-22-2-222-2-2-2-222-2-22-22200000000000000002-2000000000000
χ332222-2-2-2-2-2-2-222002002-2-2200000000000000000000002i−2i2i−2i00000
χ342222-2-2-2-2-2-2-222002002-2-220000000000000000000000−2i2i−2i2i00000
χ352222-2-2-2-2-2-2-22200200-222-200000000000000000000002i−2i−2i2i00000
χ362222-2-2-2-2-2-2-22200200-222-20000000000000000000000−2i2i2i−2i00000
χ3744444-4-44-4-44-4400-40000000000000000000000000000000000000
χ384444-44-4-44-444-400-40000000000000000000000000000000000000
χ3944-4-40-40040000000000000022-2-200002i2−2i22i2−2i2000000000000000000
χ4044-4-40-40040000000000000022-2-20000−2i22i2−2i22i2000000000000000000
χ4144-4-40-400400000000000000-2-22200002i2−2i2−2i22i2000000000000000000
χ4244-4-40-400400000000000000-2-2220000−2i22i22i2−2i2000000000000000000
χ434-44-4-40040000000000000002-22-22i2−2i22i2−2i20000000000000000000000
χ444-44-4-40040000000000000002-22-2−2i22i2−2i22i20000000000000000000000
χ454-44-4-4004000000000000000-22-222i2−2i2−2i22i20000000000000000000000
χ464-44-4-4004000000000000000-22-22−2i22i22i2−2i20000000000000000000000
χ474-4-4400400-40004i−4i000000002-2-2200000000000000000000002i−2i00
χ484-4-4400400-40004i−4i00000000-222-20000000000000000000000−2i2i00
χ494-4-4400400-4000−4i4i000000002-2-220000000000000000000000−2i2i00
χ504-4-4400400-4000−4i4i00000000-222-200000000000000000000002i−2i00
χ5188-8-80800-800000000000000000000000000000000000000000000
χ528-88-8800-8000000000000000000000000000000000000000000000
χ538-8-8800-80080000000000000000000000000000000000000000000

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