Finite Group Databasebeta

← Group #343102

Character table — Group #343102

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444444444444444161616161616161616161616323232323232
order12224444442444888888888888888888888888222244444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ311111111111111111111111111111111111111-1-11-111-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-11-1-111-1-1-11-1-111-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-111-111-11-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11111-1-11-11-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-111
χ911111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-111-11-1-1-11-11-1
χ1011111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-11-1-1111-111-1
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111-1-1111-1-1-11-11
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1111-1-11
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-11-1-1-1-1111-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-11111-1111-1-1-1-11
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-111-11-11-11-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-11-1-1-111-11-1111-1
χ172222222-2-22-22-2-200000000000000002222-2-2-2-20002002-2000-2000000
χ182222222-2-22-22-2-200000000000000002222-2-2-2-2000-200-220002000000
χ192222222-2-22-22-2-20000000000000000-2-2-2-22222000200-2-20002000000
χ202222222-2-22-22-2-20000000000000000-2-2-2-22222000-20022000-2000000
χ2122222-2-2222-2-22-2000000002222-2-2-2-2000000000020-220000-20000000
χ2222222-2-2222-2-22-2000000002222-2-2-2-20000000000-202-2000020000000
χ2322222-2-2222-2-22-200000000-2-2-2-22222000000000020-2-2000020000000
χ2422222-2-2222-2-22-200000000-2-2-2-222220000000000-20220000-20000000
χ252222-22222-2-2-2-222222-2-2-2-2000000000000000022000000-2-200000000
χ262222-22222-2-2-2-222222-2-2-2-20000000000000000-2-20000002200000000
χ272222-22222-2-2-2-22-2-2-2-2222200000000000000002-2000000-2200000000
χ282222-22222-2-2-2-22-2-2-2-222220000000000000000-220000002-200000000
χ2944444-4-4-4-444-4-44000000000000000000000000000000000000000000
χ304444-444-4-4-44-44-4000000000000000000000000000000000000000000
χ314444-4-4-444-444-4-4000000000000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000000000000
χ3344-4-40004-40000000002i22i2−2i2−2i22222−22−2200002i2i−2i−2i2i2i−2i−2i000000000000000000
χ3444-4-40004-40000000002i22i2−2i2−2i2−22−2222220000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ3544-4-40004-4000000000−2i2−2i22i22i22222−22−220000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ3644-4-40004-4000000000−2i2−2i22i22i2−22−22222200002i2i−2i−2i2i2i−2i−2i000000000000000000
χ3744-4-4000-44000002222−22−22000000002i22i2−2i2−2i22i2i−2i−2i−2i−2i2i2i000000000000000000
χ3844-4-4000-44000002222−22−2200000000−2i2−2i22i22i2−2i−2i2i2i2i2i−2i−2i000000000000000000
χ3944-4-4000-4400000−22−222222000000002i22i2−2i2−2i2−2i−2i2i2i2i2i−2i−2i000000000000000000
χ4044-4-4000-4400000−22−22222200000000−2i2−2i22i22i22i2i−2i−2i−2i−2i2i2i000000000000000000
χ414-44-404-4000000000002i2−2i22i2−2i22i−2i2i−2i2i−2i2i−2i22−2222−220000000000000000000000
χ424-44-404-4000000000002i2−2i22i2−2i2−2i2i−2i2i−2i2i−2i2i−2222−22220000000000000000000000
χ434-44-404-400000000000−2i22i2−2i22i22i−2i2i−2i2i−2i2i−2i−2222−22220000000000000000000000
χ444-44-404-400000000000−2i22i2−2i22i2−2i2i−2i2i−2i2i−2i2i22−2222−220000000000000000000000
χ454-44-40-44000000022−2222−2200002i−2i2i−2i−2i2i−2i2i00002i2−2i22i2−2i2000000000000000000
χ464-44-40-44000000022−2222−220000−2i2i−2i2i2i−2i2i−2i0000−2i22i2−2i22i2000000000000000000
χ474-44-40-440000000−2222−222200002i−2i2i−2i−2i2i−2i2i0000−2i22i2−2i22i2000000000000000000
χ484-44-40-440000000−2222−22220000−2i2i−2i2i2i−2i2i−2i00002i2−2i22i2−2i2000000000000000000
χ494-4-4440000-400002-2-222-2-222i2−2i2−2i22i20000−2i22i22i2−2i20000000000000000000000
χ504-4-4440000-400002-2-222-2-22−2i22i22i2−2i200002i2−2i2−2i22i20000000000000000000000
χ514-4-4440000-40000-222-2-222-22i2−2i2−2i22i200002i2−2i2−2i22i20000000000000000000000
χ524-4-4440000-40000-222-2-222-2−2i22i22i2−2i20000−2i22i22i2−2i20000000000000000000000
χ534-4-44-40000400002-2-22-222-2000022−22−2222000022−22−2222000000000000000000
χ544-4-44-40000400002-2-22-222-20000−222222−220000−222222−22000000000000000000
χ554-4-44-4000040000-222-22-2-22000022−22−22220000−222222−22000000000000000000
χ564-4-44-4000040000-222-22-2-220000−222222−22000022−22−2222000000000000000000

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