Finite Group Databasebeta

← Group #179990

Character table — Group #179990

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-11-11-1-11-111-111-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11-1-11-1-1-1-111111111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1
χ9111111111-1-11-1-1-1-11111-11111-1-1-1-111-1-111-1-1111-1-1-11-111-1-111-1-1
χ10111111111-1-11-1-1-1-11111-11111-1-1-1-11-1-111-11-1-1-1-1111-1111-1-1-1-111
χ11111111111-1-11-1-1-1-11111-11111-1-1-1-1-111-1-1-111111-1-1-1-11-1-111-1-111
χ12111111111-1-11-1-1-1-11111-11111-1-1-1-1-1-111-11-11-1-1-11111-1-1-11111-1-1
χ13111111111-1-11-1-1-1-11111-1-1-1-1-1111111-1-111-1-11-1-1-1111-1-1-111-1-111
χ14111111111-1-11-1-1-1-11111-1-1-1-1-111111-1-111-11-1-1111-1-1-11-1-11111-1-1
χ15111111111-1-11-1-1-1-11111-1-1-1-1-11111-111-1-1-1111-1-1-111-1111-1-111-1-1
χ16111111111-1-11-1-1-1-11111-1-1-1-1-11111-1-111-11-11-1111-1-11-111-1-1-1-111
χ1722222222222-2-2-2-2-2-22-2-22000000002020-200-20000000000000000
χ1822222222222-2-2-2-2-2-22-2-2200000000-20-2020020000000000000000
χ19222222222-2-2-22222-22-2-2-20000000020-20-20020000000000000000
χ20222222222-2-2-22222-22-2-2-200000000-2020200-20000000000000000
χ2122222222-222222-2-2-2-22-2-20000000000000220000000-2-200000000
χ2222222222-222222-2-2-2-22-2-20000000000000-2-200000002200000000
χ2322222222-222-2-2-2222-2-22-20000000002020000-200-2000000000000
χ2422222222-222-2-2-2222-2-22-2000000000-20-200002002000000000000
χ2522222222-2-2-22-2-222-2-22-2200000000000002-20000000-2200000000
χ2622222222-2-2-22-2-222-2-22-220000000000000-2200000002-200000000
χ2722222222-2-2-2-222-2-22-2-22200000000020-20000-2002000000000000
χ2822222222-2-2-2-222-2-22-2-222000000000-2020000200-2000000000000
χ29444-4-4-44-4400000000-40002222−22−220000000000000000000000000000
χ30444-4-4-44-4400000000-4000−22−2222220000000000000000000000000000
χ31444-4-4-44-4-400000000400000002i22i2−2i2−2i2000000000000000000000000
χ32444-4-4-44-4-40000000040000000−2i2−2i22i22i2000000000000000000000000
χ3344-444-4-4-404-400000000000000000000000000000000002-22-20000
χ3444-444-4-4-404-40000000000000000000000000000000000-22-220000
χ3544-444-4-4-40-4400000000000000000000000000000000002-2-220000
χ3644-444-4-4-40-440000000000000000000000000000000000-222-20000
χ3744-4-4-44-4400000000400-4000000000000000000000000000002i2−2i200
χ3844-4-4-44-4400000000400-400000000000000000000000000000−2i22i200
χ3944-4-4-44-4400000000-4004000000000000000000000000000000022−22
χ4044-4-4-44-4400000000-40040000000000000000000000000000000−2222
χ414-444-4-4-440000004i−4i00000000000000000000002i−2i02-20000000000
χ424-444-4-4-440000004i−4i0000000000000000000000−2i2i0-220000000000
χ434-444-4-4-44000000−4i4i00000000000000000000002i−2i0-220000000000
χ444-444-4-4-44000000−4i4i0000000000000000000000−2i2i02-20000000000
χ454-4-44-444-40004000000-40000002i2−2i22i2−2i2000000000000000000000000
χ464-4-44-444-40004000000-4000000−2i22i2−2i22i2000000000000000000000000
χ474-4-44-444-4000-400000040022−2222−220000000000000000000000000000
χ484-4-44-444-4000-4000000400−2222−22220000000000000000000000000000
χ494-4-4-44-44400004-400000002-2-222-2-22000000000000000000000000
χ504-4-4-44-44400004-40000000-222-2-222-2000000000000000000000000
χ514-4-4-44-4440000-4400000002-2-22-222-2000000000000000000000000
χ524-4-4-44-4440000-440000000-222-22-2-22000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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