Finite Group Databasebeta

← Group #179957

Character table — Group #179957

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-1-11-1-1-1-11-11-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1111-11-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111-1-1-1-1
χ91111111111-1-1-1-1-1-11111-11111-1-1-1-1111-11111-1-1-1-1-1-11-111-1-111-1-1
χ101111111111-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-11-1-11-11-11-1-111-1-111
χ111111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1111-11-1-1111-1-1-1-111
χ121111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-11-1-1-11-1111111-1-1-11111-1-1
χ131111111111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-111-111-1-1-11-1-1-111-1-111
χ141111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-11-1111-1-111-1-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111111-11-1-1-11-1-11-1-11111-1-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1111-11-1-1-11111-111-1-1-1-111
χ17222222222-22222-2-2-22-2-2-200000000002000-2000020-20000000000
χ18222222222-22222-2-2-22-2-2-20000000000-200020000-2020000000000
χ19222222222-2-2-2-2-222-22-2-2200000000002000-20000-2020000000000
χ20222222222-2-2-2-2-222-22-2-220000000000-20002000020-20000000000
χ2122222222-2222-2-222-2-22-2-20000000000000002200000-2-200000000
χ2222222222-2222-2-222-2-22-2-2000000000000000-2-2000002200000000
χ2322222222-22-2-222-2-2-2-22-220000000000000002-200000-2200000000
χ2422222222-22-2-222-2-2-2-22-22000000000000000-22000002-200000000
χ2522222222-2-222-2-2-2-22-2-222000000002-20-200000000200000000000
χ2622222222-2-222-2-2-2-22-2-22200000000-220200000000-200000000000
χ2722222222-2-2-2-222222-2-22-2000000002-20200000000-200000000000
χ2822222222-2-2-2-222222-2-22-200000000-220-200000000200000000000
χ29444-4-4-44-4400000000-400000002222−22−22000000000000000000000000
χ30444-4-4-44-4400000000-40000000−22−222222000000000000000000000000
χ31444-4-4-44-4-40000000040002i22i2−2i2−2i20000000000000000000000000000
χ32444-4-4-44-4-4000000004000−2i2−2i22i22i20000000000000000000000000000
χ3344-444-4-4-40400000000-40022−2222−220000000000000000000000000000
χ3444-444-4-4-40400000000-400−2222−22220000000000000000000000000000
χ3544-444-4-4-40-40000000040000002i2−2i22i2−2i2000000000000000000000000
χ3644-444-4-4-40-4000000004000000−2i22i2−2i22i2000000000000000000000000
χ3744-4-4-44-44004-40000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ3844-4-4-44-44004-4000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ3944-4-4-44-4400-440000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ4044-4-4-44-4400-44000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ414-444-4-4-4400004i−4i00000000000000000002-20002i−2i0000000000000
χ424-444-4-4-4400004i−4i0000000000000000000-22000−2i2i0000000000000
χ434-444-4-4-440000−4i4i00000000000000000002-2000−2i2i0000000000000
χ444-444-4-4-440000−4i4i0000000000000000000-220002i−2i0000000000000
χ454-4-44-444-40000004-4000000000000000000000000000002i−2i2i−2i0000
χ464-4-44-444-40000004-400000000000000000000000000000−2i2i−2i2i0000
χ474-4-44-444-4000000-44000000000000000000000000000002i−2i−2i2i0000
χ484-4-44-444-4000000-4400000000000000000000000000000−2i2i2i−2i0000
χ494-4-4-44-44400000000400-400000000000000000000000000000002i2−2i2
χ504-4-4-44-44400000000400-40000000000000000000000000000000−2i22i2
χ514-4-4-44-44400000000-40040000000000000000000000000000022−2200
χ524-4-4-44-44400000000-400400000000000000000000000000000−222200
χ538-88-888-8-8000000000000000000000000000000000000000000000

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