Finite Group Databasebeta

← Group #179832

Character table — Group #179832

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-11-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-11-1-1-11-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1111-111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-111111-11111-1-1-1-111-1-1-11-1-11111-1-11-111-1-111-1-1
χ10111111111-1-1-1-1-1-111111-11111-1-1-1-11-1-111-11-111-11-1-1-11-1-111-1-111
χ11111111111-1-1-1-1-1-111111-11111-1-1-1-1-111-1-1-111-1-11-111-1111-1-1-1-111
χ12111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-11-1-1-1-1111-1-1-11111-1-1
χ13111111111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-11-1-1-1-111111-1-1-111-1-111
χ14111111111-1-1-1-1-1-111111-1-1-1-1-111111-1-111-11-1-1-1-1111-1111-1-111-1-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-11111-111-1-1-111111-1-1-1-11-1-11111-1-1
χ16111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-11111-1111-1-1-1-11-111-1-1-1-111
χ1722222222222-2-2-2-2-2-22-2-2200000000000002-20000000-2200000000
χ1822222222222-2-2-2-2-2-22-2-220000000000000-2200000002-200000000
χ19222222222-2-22222-2-22-2-2-20000000000000220000000-2-200000000
χ20222222222-2-22222-2-22-2-2-20000000000000-2-200000002200000000
χ2122222222-22222-2-2-22-2-22-2000000002020000-2000-2000000000000
χ2222222222-22222-2-2-22-2-22-200000000-20-2000020002000000000000
χ2322222222-222-2-2222-2-22-2-200000000020-2200000-20000000000000
χ2422222222-222-2-2222-2-22-2-2000000000-202-20000020000000000000
χ2522222222-2-2-222-2-22-2-22-22000000000202-200000-20000000000000
χ2622222222-2-2-222-2-22-2-22-22000000000-20-220000020000000000000
χ2722222222-2-2-2-2-222-22-2-2220000000020-200002000-2000000000000
χ2822222222-2-2-2-2-222-22-2-22200000000-2020000-20002000000000000
χ29444-4-4-4-44400000000-400000002222−22−22000000000000000000000000
χ30444-4-4-4-44400000000-40000000−22−222222000000000000000000000000
χ31444-4-4-4-44-40000000040002i22i2−2i2−2i20000000000000000000000000000
χ32444-4-4-4-44-4000000004000−2i2−2i22i22i20000000000000000000000000000
χ3344-444-4-4-40004-4000000000000000000000000000000002-22-20000
χ3444-444-4-4-40004-400000000000000000000000000000000-22-220000
χ3544-444-4-4-4000-44000000000000000000000000000000002-2-220000
χ3644-444-4-4-4000-4400000000000000000000000000000000-222-20000
χ3744-4-4-444-404i−4i000000000000000000000000002-2002i−2i0000000000
χ3844-4-4-444-404i−4i00000000000000000000000000-2200−2i2i0000000000
χ3944-4-4-444-40−4i4i000000000000000000000000002-200−2i2i0000000000
χ4044-4-4-444-40−4i4i00000000000000000000000000-22002i−2i0000000000
χ414-444-4-44-400000000400-40000000000000000000000000000022−2200
χ424-444-4-44-400000000400-400000000000000000000000000000−222200
χ434-444-4-44-400000000-400400000000000000000000000000000002i2−2i2
χ444-444-4-44-400000000-40040000000000000000000000000000000−2i22i2
χ454-4-44-44-440000000400-4002i2−2i22i2−2i20000000000000000000000000000
χ464-4-44-44-440000000400-400−2i22i2−2i22i20000000000000000000000000000
χ474-4-44-44-440000000-400400000022−2222−22000000000000000000000000
χ484-4-44-44-440000000-4004000000−2222−2222000000000000000000000000
χ494-4-4-44-444000004-40000002-2-222-2-22000000000000000000000000
χ504-4-4-44-444000004-4000000-222-2-222-2000000000000000000000000
χ514-4-4-44-44400000-440000002-2-22-222-2000000000000000000000000
χ524-4-4-44-44400000-44000000-222-22-2-22000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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