Finite Group Databasebeta

← Group #336702

Character table — Group #336702

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-1-11-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-111-1-1-11-1
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-111-111
χ17222222222-2-222-2-22-2-22222000022220000-2-200-2-200000000000000000-20000000
χ18222222222-2-222-2-22-2-222220000-2-2-2-200002200-2-20000000000000000020000000
χ19222222222-2-222-2-22-2-2-2-2-2-2000022-2-20000-2-200220000000000000000020000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000-2-222000022002200000000000000000-20000000
χ2122222222-222-2-222-2-2-2000022220000222200-2-200-2-200000000000000-200000000
χ2222222222-222-2-222-2-2-2000022220000-2-2-2-2002200-2-200000000000000200000000
χ2322222222-222-2-222-2-2-20000-2-2-2-2000022-2-20022002200000000000000-200000000
χ2422222222-222-2-222-2-2-20000-2-2-2-20000-2-22200-2-2002200000000000000200000000
χ252222-2-2-2-22002-200-20022-2-222−2−22-22-200000000002−222−2−2000022−2−200002−200000
χ262222-2-2-2-22002-200-20022-2-222−2−2-22-2200000000002−2−2−222000022−2−20000−2200000
χ272222-2-2-2-22002-200-20022-2-2−2−2222-22-20000000000−22−2−2220000−2−2220000−2200000
χ282222-2-2-2-22002-200-20022-2-2−2−222-22-220000000000−2222−2−20000−2−22200002−200000
χ292222-2-2-2-22002-200-200-2-22222−2−22-2-2200000000002−222−2−20000−2−2220000−2200000
χ302222-2-2-2-22002-200-200-2-22222−2−2-222-200000000002−2−2−2220000−2−22200002−200000
χ312222-2-2-2-22002-200-200-2-222−2−2222-2-220000000000−22−2−222000022−2−200002−200000
χ322222-2-2-2-22002-200-200-2-222−2−222-222-20000000000−2222−2−2000022−2−20000−2200000
χ3322-2-2-222-202-2002-2000i2−i2i2−i22i−2i2i−2i00002i−2i2-20000i2−i2000000i2i2−i2−i22−22−20000002−2000
χ3422-2-2-222-202-2002-2000i2−i2i2−i22i−2i2i−2i0000−2i2i-220000i2−i2000000−i2−i2i2i22−22−2000000−22000
χ3522-2-2-222-202-2002-2000i2−i2i2−i2−2i2i−2i2i00002i−2i-220000i2−i2000000−i2−i2i2i2−22−220000002−2000
χ3622-2-2-222-202-2002-2000i2−i2i2−i2−2i2i−2i2i0000−2i2i2-20000i2−i2000000i2i2−i2−i2−22−22000000−22000
χ3722-2-2-222-202-2002-2000−i2i2−i2i22i−2i2i−2i00002i−2i2-20000−i2i2000000−i2−i2i2i2−22−22000000−22000
χ3822-2-2-222-202-2002-2000−i2i2−i2i22i−2i2i−2i0000−2i2i-220000−i2i2000000i2i2−i2−i2−22−220000002−2000
χ3922-2-2-222-202-2002-2000−i2i2−i2i2−2i2i−2i2i00002i−2i-220000−i2i2000000i2i2−i2−i22−22−2000000−22000
χ4022-2-2-222-202-2002-2000−i2i2−i2i2−2i2i−2i2i0000−2i2i2-20000−i2i2000000−i2−i2i2i22−22−20000002−2000
χ412-22-22-22-2-2-2-22222-22-20000000000000000000000002-22-22i−2i2i−2i00002i−2i000000000
χ422-22-22-22-2-2-2-22222-22-20000000000000000000000002-22-2−2i2i−2i2i0000−2i2i000000000
χ432-22-22-22-2-2-2-22222-22-2000000000000000000000000-22-222i−2i2i−2i0000−2i2i000000000
χ442-22-22-22-2-2-2-22222-22-2000000000000000000000000-22-22−2i2i−2i2i00002i−2i000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ464444-4-4-4-4-400-440040000002222−22−2200000000000000−222200000000000000000000000
χ474444-4-4-4-4-400-44004000000−22−2222220000000000000022−2200000000000000000000000
χ4844-4-44-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ4944-4-44-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ5044-4-44-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ5144-4-44-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ5244-4-4-444-40-4400-440002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ5344-4-4-444-40-4400-44000−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ544-44-44-44-4444-4-4-4-444-400000000000000000000000000000000000000000000000
χ554-44-44-44-44-4-4-4-4444-4400000000000000000000000000000000000000000000000
χ564-44-44-44-4-44444-4-4-4-4400000000000000000000000000000000000000000000000
χ574-44-4-44-44400-4400-40000000000000000004i−4i00000000000000000000000000000
χ584-44-4-44-44400-4400-4000000000000000000−4i4i00000000000000000000000000000
χ594-44-4-44-44-4004-40040000000000000000000000000022−22−22220000000000000000000
χ604-44-4-44-44-4004-400400000000000000000000000000−222222−220000000000000000000
χ614-4-44-4-44404-400-440000000000000000000004-4000000000000000000000000000
χ624-4-44-4-44404-400-44000000000000000000000-44000000000000000000000000000
χ634-4-44-4-4440-44004-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-44-4-4440-44004-40000000000000000000000000000000−222222−22000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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