Finite Group Databasebeta

← Group #175384

Character table — Group #175384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444244444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111-11-1-11-111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11-11-1-1111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11-11-1-11-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-11-1-1-1-11111-111-1-111-1-1-1-11-11-11111-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-1-1-11111-111-1-111-1-1-1-11-11-1-1-11111-1-111-1-111-1-111
χ11111111111-1-11-1-1-1-11111-111-1-1-1-11111-1-1-11111-1-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-1-1-11111-111-1-1-1-11111-1-1-11-1-11-111-1-11111-1-111-1-1
χ13111111111-1-11-1-1-1-11111-1-1-11111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-1-1-11111-1-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-11-1-1-1-11111-1-1-111-1-111-1111-1-111-11-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-1-1-11111-1-1-111-1-111-1111-1-1-1-1-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-22000022-2-20200-20000000000000000000
χ1822222222222-2-2-2-2-2-2-22-220000-2-2220-20020000000000000000000
χ19222222222-2-2-22222-2-22-2-2000022220-200-20000000000000000000
χ20222222222-2-2-22222-2-22-2-20000-2-2-2-2020020000000000000000000
χ2122222222-2222-2-222-2-2-22-20000000020200-2000-200000000000000
χ2222222222-2222-2-222-2-2-22-200000000-20-2002000200000000000000
χ2322222222-222-222-2-222-2-2-222-2-2000000020000-2000000000000000
χ2422222222-222-222-2-222-2-2-2-2-2220000000-200002000000000000000
χ2522222222-2-2-2222-2-2-2-2-2220000000020-200-2000200000000000000
χ2622222222-2-2-2222-2-2-2-2-22200000000-202002000-200000000000000
χ2722222222-2-2-2-2-2-22222-2-2222220000000-20000-2000000000000000
χ2822222222-2-2-2-2-2-22222-2-22-2-2-2-20000000200002000000000000000
χ29444-4-4-44-400040000000-400000000000000000000000000022−220000
χ30444-4-4-44-400040000000-4000000000000000000000000000−22220000
χ31444-4-4-44-4000-40000000400000000000000000000000002i2−2i2000000
χ32444-4-4-44-4000-4000000040000000000000000000000000−2i22i2000000
χ3344-44-44-4-44000000000-40000004-400000000000000000000000000
χ3444-44-44-4-44000000000-4000000-4400000000000000000000000000
χ3544-44-44-4-4-40000000004000000004i−4i000000000000000000000000
χ3644-44-44-4-4-4000000000400000000−4i4i000000000000000000000000
χ3744-4-44-4-4404i−4i0000000000000000000000000000002i−2i2-200000000
χ3844-4-44-4-4404i−4i000000000000000000000000000000−2i2i-2200000000
χ3944-4-44-4-440−4i4i0000000000000000000000000000002i−2i-2200000000
χ4044-4-44-4-440−4i4i000000000000000000000000000000−2i2i2-200000000
χ414-444-4-4-44000000004-4000004i−4i0000000000000000000000000000
χ424-444-4-4-44000000004-400000−4i4i0000000000000000000000000000
χ434-444-4-4-4400000000-440004i−4i000000000000000000000000000000
χ444-444-4-4-4400000000-44000−4i4i000000000000000000000000000000
χ454-4-444-44-40000004i−4i0000000000000000000000000000000002i−2i2-2
χ464-4-444-44-40000004i−4i000000000000000000000000000000000−2i2i-22
χ474-4-444-44-4000000−4i4i0000000000000000000000000000000002i−2i-22
χ484-4-444-44-4000000−4i4i000000000000000000000000000000000−2i2i2-2
χ494-4-4-4-444400004-40000000000000000000002-2002-2000000000000
χ504-4-4-4-444400004-4000000000000000000000-2200-22000000000000
χ514-4-4-4-44440000-440000000000000000000002-200-22000000000000
χ524-4-4-4-44440000-44000000000000000000000-22002-2000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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