Finite Group Databasebeta

← Group #349073

Character table — Group #349073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444444448888888888222444444488888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111111-1-1-1-1111-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-11111-1-1-111-1
χ911111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ1011111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-1
χ1111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ1211111111111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ1311111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-111-111-111-1-1-1-11111-1-1-1-111-111-1
χ1411111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-111-111-111-1-1-1-111-1-11111-1-11-1-11
χ1511111111111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-111-1-11-1-1-1111111-1-111-1-111-1-1-11-11
χ1611111111111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-111-1-11-1-1-1111111-1-1-1-111-1-1111-11-1
χ1722222222-2-2-2-22-222-2-2-200000000000002-2000002i−2i0002i2i−2i−2i2i−2i000000000000
χ1822222222-2-2-2-22-222-2-2-200000000000002-200000−2i2i000−2i−2i2i2i−2i2i000000000000
χ1922222222-2-2-2-22-2-2-222-20000000000000-22000002i−2i000−2i−2i2i2i2i−2i000000000000
χ2022222222-2-2-2-22-2-2-222-20000000000000-2200000−2i2i0002i2i−2i−2i−2i2i000000000000
χ21222222-2-22222-2-20000-22222-2-2000000200-2-2002-2-2-200000022000000000000
χ22222222-2-22222-2-20000-22222-2-2000000-2002200-222-2000000-2-2000000000000
χ23222222-2-22222-2-20000-2-2-2-2-222000000200-2-2002222000000-2-2000000000000
χ24222222-2-22222-2-20000-2-2-2-2-222000000-2002200-2-2-2200000022000000000000
χ25222222-2-2-2-2-2-2-22000020000002i2i−2i−2i2-2000002-202i−2i02i−2i0000−2i2i000000000000
χ26222222-2-2-2-2-2-2-22000020000002i2i−2i−2i-2200000-220−2i2i02i−2i00002i−2i000000000000
χ27222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i2-2000002-20−2i2i0−2i2i00002i−2i000000000000
χ28222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i-2200000-2202i−2i0−2i2i0000−2i2i000000000000
χ292222-2-22222-2-2-2-222-2-220000000000222-222-2-2-2-200000000000000000000000
χ302222-2-22222-2-2-2-222-2-220000000000-2-2-2-22-2222200000000000000000000000
χ312222-2-22222-2-2-2-2-2-2222000000000022-22-2-22-2-2200000000000000000000000
χ322222-2-22222-2-2-2-2-2-22220000000000-2-222-22-222-200000000000000000000000
χ332222-2-222-2-222-222222-222-2-2222222000-2-20000000-2-2-2000000000000000000
χ342222-2-222-2-222-222222-2-2-222-2-2-2-2-2-2000-2-20000000222000000000000000000
χ352222-2-222-2-222-22-2-2-2-2-222-2-222-2-2-2-2000220000000-222000000000000000000
χ362222-2-222-2-222-22-2-2-2-2-2-2-222-2-222220002200000002-2-2000000000000000000
χ372222-2-2-2-222-2-2220000-20000002i2i−2i−2i00200-2200-2000−2i2i2i−2i2i−2i00000000000000
χ382222-2-2-2-222-2-2220000-20000002i2i−2i−2i00-2002-2002000−2i2i−2i2i−2i2i00000000000000
χ392222-2-2-2-222-2-2220000-2000000−2i−2i2i2i00200-2200-20002i−2i−2i2i−2i2i00000000000000
χ402222-2-2-2-222-2-2220000-2000000−2i−2i2i2i00-2002-20020002i−2i2i−2i2i−2i00000000000000
χ412222-2-2-2-2-2-2222-20000222-2-2-2-200002-200000-22000200-222-200000000000000
χ422222-2-2-2-2-2-2222-20000222-2-2-2-20000-22000002-20002002-2-2200000000000000
χ432222-2-2-2-2-2-2222-200002-2-2222200002-200000-22000-2002-2-2200000000000000
χ442222-2-2-2-2-2-2222-200002-2-222220000-22000002-2000-200-222-200000000000000
χ4544-4-4004-4000000004i−4i02i2−2i2002i2−2i222−2222−22000000000000000000000000000000000
χ4644-4-4004-4000000004i−4i0−2i22i200−2i22i2−2222−2222000000000000000000000000000000000
χ4744-4-4004-400000000−4i4i02i2−2i2002i2−2i2−2222−2222000000000000000000000000000000000
χ4844-4-4004-400000000−4i4i0−2i22i200−2i22i222−2222−22000000000000000000000000000000000
χ4944-4-400-440000004-40002i2−2i200−2i22i22i2−2i2−2i22i2000000000000000000000000000000000
χ5044-4-400-440000004-4000−2i22i2002i2−2i2−2i22i22i2−2i2000000000000000000000000000000000
χ5144-4-400-44000000-440002i2−2i200−2i22i2−2i22i22i2−2i2000000000000000000000000000000000
χ5244-4-400-44000000-44000−2i22i2002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000
χ534-4-444-4004-44-400000000000000000000000000000000000000002i2−2i200000000
χ544-4-444-4004-44-40000000000000000000000000000000000000000−2i22i200000000
χ554-4-444-400-44-4400000000000000000000000000000000000000000022−22000000
χ564-4-444-400-44-44000000000000000000000000000000000000000000−2222000000
χ574-4-44-44004-4-440000000000000000000000000000000000000000000022−220000
χ584-4-44-44004-4-4400000000000000000000000000000000000000000000−22220000
χ594-4-44-4400-444-4000000000000000000000000000000000000002i2−2i20000000000
χ604-4-44-4400-444-400000000000000000000000000000000000000−2i22i20000000000
χ618-88-8000000000000000004i2−4i2000000000000000000000000000000000000000
χ628-88-800000000000000000−4i24i2000000000000000000000000000000000000000

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