Finite Group Databasebeta

← Group #340491

Character table — Group #340491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888822448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-11111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ311111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-11111-1-11-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-111
χ9111111111111111111-1-1-1-111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-111-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-22-222-2-2-22222000022002200-2-200-2-200000000000000000-20000000
χ18222222222-2-22-222-2-2-222220000-2-200-2-2002200-2-20000000000000000020000000
χ19222222222-2-22-222-2-2-2-2-2-2-200002200-2-200-2-200220000000000000000020000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-200220022002200000000000000000-20000000
χ2122222222-222-22-2-22-2-200002222002200-2-200-2-200-2-200000000000000200000000
χ2222222222-222-22-2-22-2-20000222200-2-20022002200-2-200000000000000-200000000
χ2322222222-222-22-2-22-2-20000-2-2-2-20022002200-2-2002200000000000000-200000000
χ2422222222-222-22-2-22-2-20000-2-2-2-200-2-200-2-20022002200000000000000200000000
χ25222-2-2-22-2-2222-2-22-2-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00002-2000000000
χ26222-2-2-22-2-2222-2-22-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000-22000000000
χ27222-2-2-22-2-2222-2-22-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000-22000000000
χ28222-2-2-22-2-2222-2-22-2-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i00002-2000000000
χ2922-22-22-2-2200-20-2200022-2-2i2i2−i2−i22-2002-200000000i2−i20000i2−i2i2−i2i2i2−i2−i2000000i2−i2000
χ3022-22-22-2-2200-20-2200022-2-2i2i2−i2−i2-2200-2200000000i2−i20000−i2i2−i2i2i2i2−i2−i2000000−i2i2000
χ3122-22-22-2-2200-20-2200022-2-2−i2−i2i2i22-2002-200000000−i2i20000−i2i2−i2i2−i2−i2i2i2000000−i2i2000
χ3222-22-22-2-2200-20-2200022-2-2−i2−i2i2i2-2200-2200000000−i2i20000i2−i2i2−i2−i2−i2i2i2000000i2−i2000
χ3322-22-22-2-2200-20-22000-2-222i2i2−i2−i22-200-2200000000i2−i20000i2−i2i2−i2−i2−i2i2i2000000−i2i2000
χ3422-22-22-2-2200-20-22000-2-222i2i2−i2−i2-22002-200000000i2−i20000−i2i2−i2i2−i2−i2i2i2000000i2−i2000
χ3522-22-22-2-2200-20-22000-2-222−i2−i2i2i22-200-2200000000−i2i20000−i2i2−i2i2i2i2−i2−i2000000i2−i2000
χ3622-22-22-2-2200-20-22000-2-222−i2−i2i2i2-22002-200000000−i2i20000i2−i2i2−i2i2i2−i2−i2000000−i2i2000
χ372-2-2-2-222202-20-2002002−22−22-22-20000002-2002-22−2002−22−200002−22−200002−200000
χ382-2-2-2-222202-20-2002002−22−22-22-2000000-2200-222−200−22−2200002−22−20000−2200000
χ392-2-2-2-222202-20-2002002−22−2-22-220000002-200-222−200−22−220000−22−2200002−200000
χ402-2-2-2-222202-20-2002002−22−2-22-22000000-22002-22−2002−22−20000−22−220000−2200000
χ412-2-2-2-222202-20-200200−22−222-22-20000002-2002-2−2200−22−220000−22−220000−2200000
χ422-2-2-2-222202-20-200200−22−222-22-2000000-2200-22−22002−22−20000−22−2200002−200000
χ432-2-2-2-222202-20-200200−22−22-22-220000002-200-22−22002−22−200002−22−20000−2200000
χ442-2-2-2-222202-20-200200−22−22-22-22000000-22002-2−2200−22−2200002−22−200002−200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ47444-4-4-44-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ48444-4-4-44-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ4944-44-44-4-4-400404-400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5044-44-44-4-4-400404-40000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ5144-4-44-4-4440040-4-400000000000000000004i−4i00000000000000000000000000000
χ5244-4-44-4-4440040-4-40000000000000000000−4i4i00000000000000000000000000000
χ5344-4-44-4-44-400-4044000000000000000000000000000000022−22−2222000000000000000
χ5444-4-44-4-44-400-40440000000000000000000000000000000−222222−22000000000000000
χ554-44-444-4-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ564-44-444-4-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ574-44-444-4-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ584-44-444-4-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ594-4-444-44-404-40400-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ604-4-444-44-404-40400-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ614-4-444-44-40-440-40040000000000004-400000000000000000000000000000000000
χ624-4-444-44-40-440-4004000000000000-4400000000000000000000000000000000000
χ634-4-4-4-44440-440400-40022−2222−220000000000000000−22220000000000000000000000000
χ644-4-4-4-44440-440400-400−2222−2222000000000000000022−220000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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