Finite Group Databasebeta

← Group #268756

Character table — Group #268756

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444448888888888888888888161616161616161616161616161616163232
order12224444442444442224444444488888888444444888888888848
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111-1-1-1-111-1-1-1-111-111-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ511111111111111111-1-111-1-111111111-1-1-1-11-1-1-11-1-1111-1-11-111-1-1
χ611111111111111111-1-111-1-11111-1-1-1-11111-1-1-11-111-1-1-111-1111-1-1
χ711111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1111-1-1-11-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111-1-1-11-11-1-1-1111-1-1-111
χ9111111111111-1-111-111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-11
χ10111111111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-11
χ11111111111111-1-111-111-1-111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1111-1
χ12111111111111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1
χ13111111111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-11-1-1111-1-1-11-1
χ14111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111111-11-11-111-1-1-11-1-11-1
χ15111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-11-1-111-1111-11
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-111-111-1-11-111-11
χ17222222-222-2-2-200-2202200-2-20000220000-2-20000002-20000000000
χ18222222-222-2-2-200-2202200-2-20000-2-2000022000000-220000000000
χ19222222-222-2-2-200-220-2-20022000022000022000000-2-20000000000
χ20222222-222-2-2-200-220-2-200220000-2-20000-2-2000000220000000000
χ2122222-222-22-2-2222-2200-2-2000000002200002000-20000000-200000
χ2222222-222-22-2-2222-2200-2-200000000-2-20000-200020000000200000
χ2322222-222-22-2-2-2-22-2-2002200000000220000-200020000000-200000
χ2422222-222-22-2-2-2-22-2-2002200000000-2-200002000-20000000200000
χ252222-222-222-2222-2-2-200-220000000000220000020-20000000-20000
χ262222-222-222-2222-2-2-200-220000000000-2-200000-202000000020000
χ272222-222-222-22-2-2-2-22002-200000000002200000-2020000000-20000
χ282222-222-222-22-2-2-2-22002-20000000000-2-20000020-2000000020000
χ292222-2-22-2-222-222-22-22-22-22-200000000000002-2000000000000000
χ302222-2-22-2-222-222-22-2-222-2-220000000000000-22000000000000000
χ312222-2-22-2-222-2-2-2-2222-2-222-20000000000000-22000000000000000
χ322222-2-22-2-222-2-2-2-222-22-22-2200000000000002-2000000000000000
χ332222-2-2-2-2-2-2-22002202-200-22000000000000000000002i−2i2i−2i000000
χ342222-2-2-2-2-2-2-22002202-200-2200000000000000000000−2i2i−2i2i000000
χ352222-2-2-2-2-2-2-2200220-22002-2000000000000000000002i−2i−2i2i000000
χ362222-2-2-2-2-2-2-2200220-22002-200000000000000000000−2i2i2i−2i000000
χ3744444-4-44-4-44400-4-40000000000000000000000000000000000000
χ384444-44-4-44-44-4004-40000000000000000000000000000000000000
χ3944-4-4400-400000000000000022-2-222−2222−220000000000000000000000
χ4044-4-4400-400000000000000022-2-2−2222−22220000000000000000000000
χ4144-4-4400-4000000000000000-2-22222−22−22220000000000000000000000
χ4244-4-4400-4000000000000000-2-222−222222−220000000000000000000000
χ434-44-40-4004000000000000002i−2i2i−2i00002i2−2i222−22000000000000000000
χ444-44-40-4004000000000000002i−2i2i−2i0000−2i22i2−2222000000000000000000
χ454-44-40-400400000000000000−2i2i−2i2i00002i2−2i2−2222000000000000000000
χ464-44-40-400400000000000000−2i2i−2i2i0000−2i22i222−22000000000000000000
χ474-4-4400400-4004i−4i0000000002i−2i−2i2i00000000000000000000002-200
χ484-4-4400400-4004i−4i000000000−2i2i2i−2i0000000000000000000000-2200
χ494-4-4400400-400−4i4i0000000002i−2i−2i2i0000000000000000000000-2200
χ504-4-4400400-400−4i4i000000000−2i2i2i−2i00000000000000000000002-200
χ5188-8-8-8008000000000000000000000000000000000000000000000
χ528-88-80800-800000000000000000000000000000000000000000000
χ538-8-8800-80080000000000000000000000000000000000000000000

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