Finite Group Databasebeta

← Group #343099

Character table — Group #343099

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444444444444444161616161616161616161616323232323232
order12224444442444888888888888888888888888222222444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-11-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-11-11-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1
χ911111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111-11-1111-11-1-1-1-11
χ1011111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1111-1
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-11-1111-11-11-1-11-1
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-1111-11
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111-11-111-11-11-1-1
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11-1-11-1-1-111-111
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-1-11-1-1111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-11-11111-11-1-1-1
χ17222222-222-2-22-2-200000000000000002222-2-2-2-20000220000-2-2000000
χ18222222-222-2-22-2-200000000000000002222-2-2-2-20000-2-2000022000000
χ19222222-222-2-22-2-20000000000000000-2-2-2-2222200002-20000-22000000
χ20222222-222-2-22-2-20000000000000000-2-2-2-222220000-2200002-2000000
χ2122222-222-22-2-22-2000000002222-2-2-2-20000000000220000-2-200000000
χ2222222-222-22-2-22-2000000002222-2-2-2-20000000000-2-200002200000000
χ2322222-222-22-2-22-200000000-2-2-2-2222200000000002-20000-2200000000
χ2422222-222-22-2-22-200000000-2-2-2-222220000000000-2200002-200000000
χ252222-222-222-2-2-222222-2-2-2-20000000000000000220000-2-20000000000
χ262222-222-222-2-2-222222-2-2-2-20000000000000000-2-20000220000000000
χ272222-222-222-2-2-22-2-2-2-2222200000000000000002-20000-220000000000
χ282222-222-222-2-2-22-2-2-2-222220000000000000000-2200002-20000000000
χ2944444-4-44-4-44-4-44000000000000000000000000000000000000000000
χ304444-44-4-44-44-44-4000000000000000000000000000000000000000000
χ314444-4-44-4-4444-4-4000000000000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000000000000
χ3344-4-400400-4000000002i22i2−2i2−2i200002i22i2−2i2−2i222-2-222-2-2000000000000000000
χ3444-4-400400-4000000002i22i2−2i2−2i20000−2i2−2i22i22i2-2-222-2-222000000000000000000
χ3544-4-400400-400000000−2i2−2i22i22i200002i22i2−2i2−2i2-2-222-2-222000000000000000000
χ3644-4-400400-400000000−2i2−2i22i22i20000−2i2−2i22i22i222-2-222-2-2000000000000000000
χ3744-4-400-400400002222−22−2200002222−22−22000022-2-2-2-222000000000000000000
χ3844-4-400-400400002222−22−220000−22−2222220000-2-22222-2-2000000000000000000
χ3944-4-400-40040000−22−22222200002222−22−220000-2-22222-2-2000000000000000000
χ4044-4-400-40040000−22−2222220000−22−222222000022-2-2-2-222000000000000000000
χ414-44-40400-40000000002i2−2i22i2−2i22-22-22-22-200002i2−2i22i2−2i2000000000000000000
χ424-44-40400-40000000002i2−2i22i2−2i2-22-22-22-220000−2i22i2−2i22i2000000000000000000
χ434-44-40400-4000000000−2i22i2−2i22i22-22-22-22-20000−2i22i2−2i22i2000000000000000000
χ444-44-40400-4000000000−2i22i2−2i22i2-22-22-22-2200002i2−2i22i2−2i2000000000000000000
χ454-44-40-40040000022−2222−2200002-22-2-22-2222−2222−220000000000000000000000
χ464-44-40-40040000022−2222−220000-22-222-22-2−2222−22220000000000000000000000
χ474-44-40-400400000−2222−222200002-22-2-22-22−2222−22220000000000000000000000
χ484-44-40-400400000−2222−22220000-22-222-22-222−2222−220000000000000000000000
χ494-4-44400-40000002-2-222-2-2200002i2−2i2−2i22i20000−2i22i22i2−2i2000000000000000000
χ504-4-44400-40000002-2-222-2-220000−2i22i22i2−2i200002i2−2i2−2i22i2000000000000000000
χ514-4-44400-4000000-222-2-222-200002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000
χ524-4-44400-4000000-222-2-222-20000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000
χ534-4-44-40040000002-2-22-222-222−22−2222000022−22−22220000000000000000000000
χ544-4-44-40040000002-2-22-222-2−222222−220000−222222−220000000000000000000000
χ554-4-44-4004000000-222-22-2-2222−22−22220000−222222−220000000000000000000000
χ564-4-44-4004000000-222-22-2-22−222222−22000022−22−22220000000000000000000000

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