Finite Group Databasebeta

← Group #179810

Character table — Group #179810

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444288888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-1-11-1-1-11111-1-1-1-1
χ311111111111111111111111111111-11111-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-1-11111-111-1-11-1-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-11-1-111111111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-1
χ9111111111-1-11-1-1-1-11111-11111-1-1-1-111111-1-1-1-1-11-11-11-111-1-111-1-1
χ10111111111-1-11-1-1-1-11111-11111-1-1-1-11-1-1-1-1-1-1111-1111-1111-1-1-1-111
χ11111111111-1-11-1-1-1-11111-11111-1-1-1-1-1111111-1-1-1-11-1-1-11-1-111-1-111
χ12111111111-1-11-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111-1-1
χ13111111111-1-11-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1111-11-11-1-1-111-1-111
χ14111111111-1-11-1-1-1-11111-1-1-1-1-111111-1-111-1-11-1-1-1111-11-1-11111-1-1
χ15111111111-1-11-1-1-1-11111-1-1-1-1-11111-111-1-111-111-11-1-1-1111-1-111-1-1
χ16111111111-1-11-1-1-1-11111-1-1-1-1-11111-1-1-111111-1-11-1-111-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-2200000000200002-200000-200000000000
χ1822222222222-2-2-2-2-2-2-22-2200000000-20000-2200000200000000000
χ19222222222-2-2-22222-2-22-2-20000000020000-2200000-200000000000
χ20222222222-2-2-22222-2-22-2-200000000-200002-200000200000000000
χ2122222222-222222-2-2-2-2-22-20000000000000000002200-2-200000000
χ2222222222-222222-2-2-2-2-22-2000000000000000000-2-2002200000000
χ2322222222-222-2-2-22222-2-2-20000000002-20000-20000020000000000
χ2422222222-222-2-2-22222-2-2-2000000000-220000200000-20000000000
χ2522222222-2-2-22-2-222-2-2-2220000000000000000002-200-2200000000
χ2622222222-2-2-22-2-222-2-2-222000000000000000000-22002-200000000
χ2722222222-2-2-2-222-2-222-2-220000000002-20000200000-20000000000
χ2822222222-2-2-2-222-2-222-2-22000000000-220000-20000020000000000
χ29444-44-4-4-44000000000-40000002222−22−22000000000000000000000000
χ30444-44-4-4-44000000000-4000000−22−222222000000000000000000000000
χ31444-44-4-4-4-40000000004002i22i2−2i2−2i20000000000000000000000000000
χ32444-44-4-4-4-4000000000400−2i2−2i22i22i20000000000000000000000000000
χ3344-4-4-44-44000000004-4000000000000000000000000000002i2−2i20000
χ3444-4-4-44-44000000004-400000000000000000000000000000−2i22i20000
χ3544-4-4-44-4400000000-440000000000000000000000000002i2−2i2000000
χ3644-4-4-44-4400000000-44000000000000000000000000000−2i22i2000000
χ374-444-4-4-440000004i−4i0000000000000000000000000000000002-22i−2i
χ384-444-4-4-440000004i−4i000000000000000000000000000000000-22−2i2i
χ394-444-4-4-44000000−4i4i0000000000000000000000000000000002-2−2i2i
χ404-444-4-4-44000000−4i4i000000000000000000000000000000000-222i−2i
χ414-44-4-444-404-40000000000000000000002i−2i0002i−2i00000000000000
χ424-44-4-444-404-4000000000000000000000−2i2i000−2i2i00000000000000
χ434-44-4-444-40-440000000000000000000002i−2i000−2i2i00000000000000
χ444-44-4-444-40-44000000000000000000000−2i2i0002i−2i00000000000000
χ454-4-4444-4-400004-400000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-4-4444-4-400004-40000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-4-4444-4-40000-4400000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ484-4-4444-4-40000-440000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-4-4-44-44400040000000-4000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-44-44400040000000-400000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-44-444000-400000004022−22−22220000000000000000000000000000
χ524-4-4-44-444000-4000000040−222222−220000000000000000000000000000
χ5388-88-8-88-8000000000000000000000000000000000000000000000

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