Finite Group Databasebeta

← Group #343109

Character table — Group #343109

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444444444444444161616161616161616161616323232323232
order12224444442444888888888888888888888888224444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-11-1-111-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-111111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-111-1
χ911111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-111-1-1111-1-1-11-1
χ1011111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-11-111-11
χ1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-111111-1-1-11-1-1-11
χ1211111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-11111-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-1-1-1-11-1111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111111-111-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-111111-1-11-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-11-1-1-1-11-11-111
χ172222222-2-22-2-22-2000000002222-2-2-2-200000000020200-2-20000000000
χ182222222-2-22-2-22-2000000002222-2-2-2-2000000000-20-200220000000000
χ192222222-2-22-2-22-200000000-2-2-2-2222200000000020-200-220000000000
χ202222222-2-22-2-22-200000000-2-2-2-22222000000000-202002-20000000000
χ2122222-2-2222-2-2-222222-2-2-2-200000000000000002020-2-2000000000000
χ2222222-2-2222-2-2-222222-2-2-2-20000000000000000-20-2022000000000000
χ2322222-2-2222-2-2-22-2-2-2-22222000000000000000020-20-22000000000000
χ2422222-2-2222-2-2-22-2-2-2-222220000000000000000-20202-2000000000000
χ252222-22222-2-22-2-200000000000000002222-2-2-2-2000000002-22-2000000
χ262222-22222-2-22-2-200000000000000002222-2-2-2-200000000-22-22000000
χ272222-22222-2-22-2-20000000000000000-2-2-2-22222000000002-2-22000000
χ282222-22222-2-22-2-20000000000000000-2-2-2-2222200000000-222-2000000
χ2944444-4-4-4-4444-4-4000000000000000000000000000000000000000000
χ304444-444-4-4-44-4-44000000000000000000000000000000000000000000
χ314444-4-4-444-44-44-4000000000000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000000000000
χ3344-4-440000-400002222−22−2200002222−22−22000022-2-222-2-2000000000000000000
χ3444-4-440000-400002222−22−220000−22−2222220000-2-222-2-222000000000000000000
χ3544-4-440000-40000−22−22222200002222−22−220000-2-222-2-222000000000000000000
χ3644-4-440000-40000−22−2222220000−22−222222000022-2-222-2-2000000000000000000
χ3744-4-4-400004000000002i22i2−2i2−2i200002i22i2−2i2−2i222-2-2-2-222000000000000000000
χ3844-4-4-400004000000002i22i2−2i2−2i20000−2i2−2i22i22i2-2-22222-2-2000000000000000000
χ3944-4-4-40000400000000−2i2−2i22i22i200002i22i2−2i2−2i2-2-22222-2-2000000000000000000
χ4044-4-4-40000400000000−2i2−2i22i22i20000−2i2−2i22i22i222-2-2-2-222000000000000000000
χ414-44-40004-400000000022−2222−222i−2i2i−2i2i−2i2i−2i00002i2−2i22i2−2i2000000000000000000
χ424-44-40004-400000000022−2222−22−2i2i−2i2i−2i2i−2i2i0000−2i22i2−2i22i2000000000000000000
χ434-44-40004-4000000000−2222−22222i−2i2i−2i2i−2i2i−2i0000−2i22i2−2i22i2000000000000000000
χ444-44-40004-4000000000−2222−2222−2i2i−2i2i−2i2i−2i2i00002i2−2i22i2−2i2000000000000000000
χ454-44-4000-44000002i2−2i22i2−2i200002i−2i2i−2i−2i2i−2i2i22−2222−220000000000000000000000
χ464-44-4000-44000002i2−2i22i2−2i20000−2i2i−2i2i2i−2i2i−2i−2222−22220000000000000000000000
χ474-44-4000-4400000−2i22i2−2i22i200002i−2i2i−2i−2i2i−2i2i−2222−22220000000000000000000000
χ484-44-4000-4400000−2i22i2−2i22i20000−2i2i−2i2i2i−2i2i−2i22−2222−220000000000000000000000
χ494-4-4404-400000002i−2i−2i2i2i−2i−2i2i000022−22−222200002i2−2i2−2i22i2000000000000000000
χ504-4-4404-400000002i−2i−2i2i2i−2i−2i2i0000−222222−220000−2i22i22i2−2i2000000000000000000
χ514-4-4404-40000000−2i2i2i−2i−2i2i2i−2i000022−22−22220000−2i22i22i2−2i2000000000000000000
χ524-4-4404-40000000−2i2i2i−2i−2i2i2i−2i0000−222222−2200002i2−2i2−2i22i2000000000000000000
χ534-4-440-4400000002i−2i−2i2i−2i2i2i−2i2i2−2i2−2i22i2000022−22−22220000000000000000000000
χ544-4-440-4400000002i−2i−2i2i−2i2i2i−2i−2i22i22i2−2i20000−222222−220000000000000000000000
χ554-4-440-440000000−2i2i2i−2i2i−2i−2i2i2i2−2i2−2i22i20000−222222−220000000000000000000000
χ564-4-440-440000000−2i2i2i−2i2i−2i−2i2i−2i22i22i2−2i2000022−22−22220000000000000000000000

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