Finite Group Databasebeta

← Group #352255

Character table — Group #352255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111222222222222222222444444444444444444444488888888888888883232323232323232
order12222244444444888888884488888888888888888888244488888888888824448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222222-2-2-2-222222-2-2-2-2-2-222-2-2000000000000000022-2-222-2-20000000000000000
χ18222222222-2-2-2-222222-2-2-2-2-2-222-2-20000000000000000-2-222-2-2220000000000000000
χ19222222222-2-2-2-22-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-2220000000000000000
χ20222222222-2-2-2-22-2-2-2-22222-2-2-2-2220000000000000000-2-22222-2-20000000000000000
χ21222222-2-2-222-2-2-2000000002-20000000000002222-2-2-2-200002i−2i2i−2i2i2i−2i−2i000000000000
χ22222222-2-2-222-2-2-2000000002-20000000000002222-2-2-2-20000−2i2i−2i2i−2i−2i2i2i000000000000
χ23222222-2-2-222-2-2-2000000002-2000000000000-2-2-2-2222200002i−2i2i−2i−2i−2i2i2i000000000000
χ24222222-2-2-222-2-2-2000000002-2000000000000-2-2-2-222220000−2i2i−2i2i2i2i−2i−2i000000000000
χ25222222-2-2-2-2-222-200000000-2200002222-2-2-2-20000000000002i−2i−2i2i00002i2i−2i−2i00000000
χ26222222-2-2-2-2-222-200000000-2200002222-2-2-2-2000000000000−2i2i2i−2i0000−2i−2i2i2i00000000
χ27222222-2-2-2-2-222-200000000-220000-2-2-2-222220000000000002i−2i−2i2i0000−2i−2i2i2i00000000
χ28222222-2-2-2-2-222-200000000-220000-2-2-2-22222000000000000−2i2i2i−2i00002i2i−2i−2i00000000
χ292222-2-22-2-222-2-2200000000-2200000000000022-2-222-2-22-22-2000000002-22-200000000
χ302222-2-22-2-222-2-2200000000-2200000000000022-2-222-2-2-22-2200000000-22-2200000000
χ312222-2-22-2-222-2-2200000000-22000000000000-2-222-2-2222-22-200000000-22-2200000000
χ322222-2-22-2-222-2-2200000000-22000000000000-2-222-2-222-22-22000000002-22-200000000
χ332222-2-22-2-2-2-2222000000002-2000022-2-222-2-2000000002-2-2200002-22-2000000000000
χ342222-2-22-2-2-2-2222000000002-2000022-2-222-2-200000000-222-20000-22-22000000000000
χ352222-2-22-2-2-2-2222000000002-20000-2-222-2-222000000002-2-220000-22-22000000000000
χ362222-2-22-2-2-2-2222000000002-20000-2-222-2-22200000000-222-200002-22-2000000000000
χ372222-2-2-2222222-222222222-2-2-2-2-2-222-2-2-2-22222-2-2-2-222000000000000000000000000
χ382222-2-2-2222222-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ392222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ402222-2-2-2222222-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000
χ412222-2-2-222-2-2-2-2-22222-2-2-2-222-2-2220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ422222-2-2-222-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ432222-2-2-222-2-2-2-2-2-2-2-2-222222222-2-20000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ442222-2-2-222-2-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ4544-4-400000004-402i22i2−2i2−2i22i22i2−2i2−2i2000000004-40000002i2−2i22i2−2i200000000000000000000000000
χ4644-4-400000004-402i22i2−2i2−2i22i22i2−2i2−2i200000000-44000000−2i22i2−2i22i200000000000000000000000000
χ4744-4-400000004-40−2i2−2i22i22i2−2i2−2i22i22i2000000004-4000000−2i22i2−2i22i200000000000000000000000000
χ4844-4-400000004-40−2i2−2i22i22i2−2i2−2i22i22i200000000-440000002i2−2i22i2−2i200000000000000000000000000
χ4944-4-40000000-4402i22i2−2i2−2i2−2i2−2i22i22i200000000004-400002i2−2i2−2i22i200000000000000000000000000
χ5044-4-40000000-4402i22i2−2i2−2i2−2i2−2i22i22i20000000000-440000−2i22i22i2−2i200000000000000000000000000
χ5144-4-40000000-440−2i2−2i22i22i22i22i2−2i2−2i200000000004-40000−2i22i22i2−2i200000000000000000000000000
χ5244-4-40000000-440−2i2−2i22i22i22i22i2−2i2−2i20000000000-4400002i2−2i2−2i22i200000000000000000000000000
χ534-44-4000004-40002i2−2i22i2−2i22i2−2i22i2−2i20000002i2−2i200002i2−2i20000004-4000000000000000000000000
χ544-44-4000004-40002i2−2i22i2−2i22i2−2i22i2−2i2000000−2i22i20000−2i22i2000000-44000000000000000000000000
χ554-44-4000004-4000−2i22i2−2i22i2−2i22i2−2i22i20000002i2−2i200002i2−2i2000000-44000000000000000000000000
χ564-44-4000004-4000−2i22i2−2i22i2−2i22i2−2i22i2000000−2i22i20000−2i22i20000004-4000000000000000000000000
χ574-44-400000-440002i2−2i22i2−2i2−2i22i2−2i22i20000002i2−2i20000−2i22i24-4000000000000000000000000000000
χ584-44-400000-440002i2−2i22i2−2i2−2i22i2−2i22i2000000−2i22i200002i2−2i2-44000000000000000000000000000000
χ594-44-400000-44000−2i22i2−2i22i22i2−2i22i2−2i20000002i2−2i20000−2i22i2-44000000000000000000000000000000
χ604-44-400000-44000−2i22i2−2i22i22i2−2i22i2−2i2000000−2i22i200002i2−2i24-4000000000000000000000000000000
χ614-4-444-444-40000-400004-4-4400004-40000000000000000000000000000000000000000
χ624-4-444-444-40000-40000-444-40000-440000000000000000000000000000000000000000
χ634-4-444-4-4-44000044-4-440000004-4000000000000000000000000000000000000000000
χ644-4-444-4-4-4400004-444-4000000-44000000000000000000000000000000000000000000
χ654-4-44-444-440000-44-4-44000000-44000000000000000000000000000000000000000000
χ664-4-44-444-440000-4-444-40000004-4000000000000000000000000000000000000000000
χ674-4-44-44-44-40000400004-4-440000-440000000000000000000000000000000000000000
χ684-4-44-44-44-4000040000-444-400004-40000000000000000000000000000000000000000

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