Finite Group Databasebeta

← Group #179829

Character table — Group #179829

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888222244444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111111-1-11-111-11-111-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-11-1-11-11-1-11-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-111111111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1111111-1-1-1-1
χ91111111111-1-1-1-11-1-1111-11111-1-1-1-11-111-1-111-111-11-1-1-111-1-111-1-1
χ101111111111-1-1-1-11-1-1111-11111-1-1-1-11-1-1-111-1-11-1-111-11111-1-1-1-111
χ111111111111-1-1-1-11-1-1111-11111-1-1-1-1-111-1-1-1-111111-11-1-1-1-111-1-111
χ121111111111-1-1-1-11-1-1111-11111-1-1-1-1-11-11111-1-1-1-1-1-1111-1-11111-1-1
χ131111111111-1-1-1-11-1-1111-1-1-1-1-111111-111-1-111-1-1-1-11-111-1-111-1-111
χ141111111111-1-1-1-11-1-1111-1-1-1-1-111111-1-1-111-1-111111-1-1-1-1-11111-1-1
χ151111111111-1-1-1-11-1-1111-1-1-1-1-11111-111-1-1-1-111-1-11-111111-1-111-1-1
χ161111111111-1-1-1-11-1-1111-1-1-1-1-11111-11-11111-1-111-1-11-1-111-1-1-1-111
χ17222222222-22222-2-2-22-2-2-200000000000200-20200-2000000000000
χ18222222222-22222-2-2-22-2-2-200000000000-20020-2002000000000000
χ19222222222-2-2-2-2-2-2222-2-2200000000000200-20-2002000000000000
χ20222222222-2-2-2-2-2-2222-2-2200000000000-20020200-2000000000000
χ2122222222-2222-2-2-222-22-2-20000000000202-20-20000000000000000
χ2222222222-2222-2-2-222-22-2-20000000000-20-22020000000000000000
χ2322222222-22-2-222-2-2-2-22-22000000000020-220-20000000000000000
χ2422222222-22-2-222-2-2-2-22-220000000000-202-2020000000000000000
χ2522222222-2-222-2-22-2-2-2-222000000002-20000000000-220000000000
χ2622222222-2-222-2-22-2-2-2-22200000000-2200000000002-20000000000
χ2722222222-2-2-2-222222-2-22-200000000220000000000-2-20000000000
χ2822222222-2-2-2-222222-2-22-200000000-2-20000000000220000000000
χ29444-4-4-44-4004i−4i000000000000000000000000002-20002i−2i00000000
χ30444-4-4-44-4004i−4i00000000000000000000000000-22000−2i2i00000000
χ31444-4-4-44-400−4i4i000000000000000000000000002-2000−2i2i00000000
χ32444-4-4-44-400−4i4i00000000000000000000000000-220002i−2i00000000
χ3344-4-4-44-44400000000-40002i22i2−2i2−2i20000000000000000000000000000
χ3444-4-4-44-44400000000-4000−2i2−2i22i22i20000000000000000000000000000
χ3544-4-4-44-44-400000000400000002222−22−22000000000000000000000000
χ3644-4-4-44-44-40000000040000000−22−222222000000000000000000000000
χ374-444-44-4-400004-400000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ384-444-44-4-400004-40000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ394-444-44-4-40000-4400000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ404-444-44-4-40000-440000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ414-44-44-4-440400000000-4000000000000000000000000002i2−2i2000000
χ424-44-44-4-440400000000-400000000000000000000000000−2i22i2000000
χ434-44-44-4-440-4000000004000000000000000000000000000022−220000
χ444-44-44-4-440-40000000040000000000000000000000000000−22220000
χ454-4-44-4-44400000004-4000000000000000000000000000000002-22-2
χ464-4-44-4-44400000004-400000000000000000000000000000000-22-22
χ474-4-44-4-4440000000-44000000000000000000000000000000002-2-22
χ484-4-44-4-4440000000-4400000000000000000000000000000000-222-2
χ494-4-4-4444-400000040000-4000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-4444-400000040000-400000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-4444-4000000-400004022−22−22220000000000000000000000000000
χ524-4-4-4444-4000000-4000040−222222−220000000000000000000000000000
χ5388-888-8-8-8000000000000000000000000000000000000000000000

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