Finite Group Databasebeta

← Group #304356

Character table — Group #304356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444422444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111
χ5111111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-11111-11-1-1-1-1-1
χ6111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-11-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111111-1-11-1-1-1-1
χ9111111111111-1-1-1-1-1-11-1-111111-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-1111-1-1-11-111-1-1
χ10111111111111-1-1-1-1-1-11-1-111111-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-11-1-111-11-1-1-111
χ11111111111111-1-1-1-1-1-11-1-111111-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-11-1-111
χ12111111111111-1-1-1-1-1-11-1-111111-111-1-111-1-1-1-11111-1-1-1-11111-1-111-111-1-1-1-1111-1-1
χ13111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1-111-1-1111-1-111
χ14111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11111111-1-1
χ15111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-111-1-1111-1-111-1-1
χ16111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-11111-1-11-1-1-1-111
χ172222222222222222-2-2-222-2-2-200-20022220000000000000000000-2000000-200000
χ182222222222222222-2-2-222-2-2-200-200-2-2-2-200000000000000000002000000200000
χ19222222222222-2-2-2-222-2-2-2-2-2-20020022-2-200000000000000000002000000-200000
χ20222222222222-2-2-2-222-2-2-2-2-2-200200-2-2220000000000000000000-2000000200000
χ2122222222-2-2-2-2222222-2-2-222-200-200000000000000000000000220-2000000-20000
χ2222222222-2-2-2-2222222-2-2-222-200-200000000000000000000000-2-20200000020000
χ2322222222-2-2-2-22222-2-22-2-2-2-22222-2-200000000000000000000-2000000002000000
χ2422222222-2-2-2-22222-2-22-2-2-2-22-2-222200000000000000000000200000000-2000000
χ2522222222-2-2-2-2-2-2-2-222222-2-2222-2-2-200000000000000000000200000000-2000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-2-22200000000000000000000-2000000002000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-2002000000000000000000000002-20-200000020000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-200200000000000000000000000-2202000000-20000
χ2922-2-222-2-22-22-2000000-2002-222-202-2000000002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ3022-2-222-2-22-22-2000000-2002-222-202-200000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ3122-2-222-2-22-22-2000000-2002-22-220-22000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ3222-2-222-2-22-22-2000000-2002-22-220-2200000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ3322-2-222-2-2-22-22000000-200-2222-20-2200002i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ3422-2-222-2-2-22-22000000-200-2222-20-220000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ3522-2-222-2-2-22-22000000-200-222-2202-200002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ3622-2-222-2-2-22-22000000-200-222-2202-20000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ372-22-22-22-22-2-222i2i−2i−2i0002i−2i000000002-22i−2i00000000i2−i2i2−i22−22−2000000000000i2−i22−2
χ382-22-22-22-22-2-222i2i−2i−2i0002i−2i000000002-22i−2i00000000−i2i2−i2i2−22−22000000000000−i2i2−22
χ392-22-22-22-22-2-222i2i−2i−2i0002i−2i00000000-22−2i2i00000000i2−i2i2−i22−22−2000000000000−i2i2−22
χ402-22-22-22-22-2-222i2i−2i−2i0002i−2i00000000-22−2i2i00000000−i2i2−i2i2−22−22000000000000i2−i22−2
χ412-22-22-22-22-2-22−2i−2i2i2i000−2i2i000000002-2−2i2i00000000i2−i2i2−i2−22−22000000000000i2−i2−22
χ422-22-22-22-22-2-22−2i−2i2i2i000−2i2i000000002-2−2i2i00000000−i2i2−i2i22−22−2000000000000−i2i22−2
χ432-22-22-22-22-2-22−2i−2i2i2i000−2i2i00000000-222i−2i00000000i2−i2i2−i2−22−22000000000000−i2i22−2
χ442-22-22-22-22-2-22−2i−2i2i2i000−2i2i00000000-222i−2i00000000−i2i2−i2i22−22−2000000000000i2−i2−22
χ454444-4-4-4-4000000004-40000000000000002-22-22-22-2000000000000000000000000
χ464444-4-4-4-4000000004-4000000000000000-22-22-22-22000000000000000000000000
χ474444-4-4-4-400000000-440000000000000002-22-2-22-22000000000000000000000000
χ484444-4-4-4-400000000-44000000000000000-22-222-22-2000000000000000000000000
χ4944-4-444-4-44-44-4000000400-44-400000000000000000000000000000000000000000
χ5044-4-444-4-4-44-440000004004-4-400000000000000000000000000000000000000000
χ5144-4-4-4-44400004-44-4000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ5244-4-4-4-44400004-44-400000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ5344-4-4-4-4440000-44-44000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5444-4-4-4-4440000-44-4400000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ554-44-44-44-4-444-44i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ564-44-44-44-4-444-4−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ574-4-444-4-4444-4-40000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-4-444-4-4444-4-4000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4-444-4-44-4-4440000000000000000000000000000022−22−222200000000000000000000
χ604-4-444-4-44-4-44400000000000000000000000000000−222222−2200000000000000000000
χ614-4-44-444-400004i−4i−4i4i000000000000000000000000000000000000002-22i−2i0000000
χ624-4-44-444-400004i−4i−4i4i00000000000000000000000000000000000000-22−2i2i0000000
χ634-4-44-444-40000−4i4i4i−4i000000000000000000000000000000000000002-2−2i2i0000000
χ644-4-44-444-40000−4i4i4i−4i00000000000000000000000000000000000000-222i−2i0000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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