Finite Group Databasebeta

← Group #179936

Character table — Group #179936

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444288888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1111111-1-1-1-1
χ9111111111-1-11-1-1-1-11111-11111-1-1-1-111-11-11111-1-1-1-1-11-111-1-111-1-1
χ10111111111-1-11-1-1-1-11111-11111-1-1-1-11-111-111-1-11-1-1-11-11-1-111-1-111
χ11111111111-1-11-1-1-1-11111-11111-1-1-1-1-11-1-11-1-11-11111-1-1111-1-1-1-111
χ12111111111-1-11-1-1-1-11111-11111-1-1-1-1-1-11-11-1-1-11-111111-1-1-11111-1-1
χ13111111111-1-11-1-1-1-11111-1-1-1-1-1111111-11-1-1-111-1-111-11-1-1-111-1-111
χ14111111111-1-11-1-1-1-11111-1-1-1-1-111111-111-1-1-1-1-11-1111-1111-1-111-1-1
χ15111111111-1-11-1-1-1-11111-1-1-1-1-11111-11-1-11111-111-1-1-1-11-1-11111-1-1
χ16111111111-1-11-1-1-1-11111-1-1-1-1-11111-1-11-1111-11-11-1-111-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-220000000002-20000-20000020000000000
χ1822222222222-2-2-2-2-2-2-22-22000000000-220000200000-20000000000
χ19222222222-2-2-22222-2-22-2-2000000000220000-200000-20000000000
χ20222222222-2-2-22222-2-22-2-2000000000-2-2000020000020000000000
χ2122222222-222222-2-2-2-2-22-20000000000000000220000-2-200000000
χ2222222222-222222-2-2-2-2-22-20000000000000000-2-200002200000000
χ2322222222-222-2-2-22222-2-2-200000000200-2200000-20000000000000
χ2422222222-222-2-2-22222-2-2-200000000-2002-20000020000000000000
χ2522222222-2-2-22-2-222-2-2-22200000000000000002-20000-2200000000
χ2622222222-2-2-22-2-222-2-2-2220000000000000000-2200002-200000000
χ2722222222-2-2-2-222-2-222-2-2200000000200-2-20000020000000000000
χ2822222222-2-2-2-222-2-222-2-2200000000-2002200000-20000000000000
χ29444-44-4-4-4000000004-400000000000000000000000000022−22000000
χ30444-44-4-4-4000000004-4000000000000000000000000000−2222000000
χ31444-44-4-4-400000000-440000000000000000000000000000022−220000
χ32444-44-4-4-400000000-4400000000000000000000000000000−22220000
χ3344-44-4-4-440000004i−4i0000000000000000000000000000000002-22i−2i
χ3444-44-4-4-440000004i−4i000000000000000000000000000000000-22−2i2i
χ3544-44-4-4-44000000−4i4i0000000000000000000000000000000002-2−2i2i
χ3644-44-4-4-44000000−4i4i000000000000000000000000000000000-222i−2i
χ3744-4-4-444-400040000000-402222−22−220000000000000000000000000000
χ3844-4-4-444-400040000000-40−22−2222220000000000000000000000000000
χ3944-4-4-444-4000-400000004000002i22i2−2i2−2i2000000000000000000000000
χ4044-4-4-444-4000-40000000400000−2i2−2i22i22i2000000000000000000000000
χ414-444-44-4-44000000000-40022−2222−220000000000000000000000000000
χ424-444-44-4-44000000000-400−2222−22220000000000000000000000000000
χ434-444-44-4-4-400000000040000002i2−2i22i2−2i2000000000000000000000000
χ444-444-44-4-4-40000000004000000−2i22i2−2i22i2000000000000000000000000
χ454-4-444-44-404-4000000000000000000000002i−2i00002i−2i00000000000
χ464-4-444-44-404-400000000000000000000000−2i2i0000−2i2i00000000000
χ474-4-444-44-40-44000000000000000000000002i−2i0000−2i2i00000000000
χ484-4-444-44-40-4400000000000000000000000−2i2i00002i−2i00000000000
χ494-4-4-444-4400004-400000002-2-222-2-22000000000000000000000000
χ504-4-4-444-4400004-40000000-222-2-222-2000000000000000000000000
χ514-4-4-444-440000-4400000002-2-22-222-2000000000000000000000000
χ524-4-4-444-440000-440000000-222-22-2-22000000000000000000000000
χ538-88-8-8-888000000000000000000000000000000000000000000000

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