Finite Group Databasebeta

← Group #338786

Character table — Group #338786

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-11111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-111-111-1-1-11-1
χ9111111111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ10111111111111111111-1-1-1-111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-111-1-1-1111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-11
χ17222222222-222-2-2-22-2-2222200000000222200-2-2-2-200000000000000-20000000000
χ18222222222-222-2-2-22-2-2222200000000-2-2-2-20022-2-20000000000000020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-20000000022-2-200222200000000000000-20000000000
χ20222222222-222-2-2-22-2-2-2-2-2-200000000-2-22200-2-2220000000000000020000000000
χ2122222222-22-2-2222-2-2-20000222222220000-2-20000-2-2000000000000000-20000000
χ2222222222-22-2-2222-2-2-200002222-2-2-2-20000220000-2-200000000000000020000000
χ2322222222-22-2-2222-2-2-20000-2-2-2-222-2-2000022000022000000000000000-20000000
χ2422222222-22-2-2222-2-2-20000-2-2-2-2-2-2220000-2-200002200000000000000020000000
χ25222-2-2-22-22-2-2-22-222-220000000000000000000000002i2i−2i−2i22-2-2000002i−2i00000000
χ26222-2-2-22-22-2-2-22-222-220000000000000000000000002i2i−2i−2i-2-22200000−2i2i00000000
χ27222-2-2-22-22-2-2-22-222-22000000000000000000000000−2i−2i2i2i22-2-200000−2i2i00000000
χ28222-2-2-22-22-2-2-22-222-22000000000000000000000000−2i−2i2i2i-2-222000002i−2i00000000
χ2922-2-222-2-2-202-20002002i2i−2i−2i22−2−200002i−2i2-20000002−22−22−20000i2i2−i2−i20000i2−i200000
χ3022-2-222-2-2-202-20002002i2i−2i−2i22−2−20000−2i2i-220000002−2−22−220000i2i2−i2−i20000−i2i200000
χ3122-2-222-2-2-202-20002002i2i−2i−2i−2−22200002i−2i2-2000000−22−22−220000−i2−i2i2i20000−i2i200000
χ3222-2-222-2-2-202-20002002i2i−2i−2i−2−2220000−2i2i-22000000−222−22−20000−i2−i2i2i20000i2−i200000
χ3322-2-222-2-2-202-2000200−2i−2i2i2i22−2−200002i−2i-220000002−2−22−220000−i2−i2i2i20000i2−i200000
χ3422-2-222-2-2-202-2000200−2i−2i2i2i22−2−20000−2i2i2-20000002−22−22−20000−i2−i2i2i20000−i2i200000
χ3522-2-222-2-2-202-2000200−2i−2i2i2i−2−22200002i−2i-22000000−222−22−20000i2i2−i2−i20000−i2i200000
χ3622-2-222-2-2-202-2000200−2i−2i2i2i−2−2220000−2i2i2-2000000−22−22−220000i2i2−i2−i20000i2−i200000
χ372-2-222-22-20-20022-2000i2−i2i2−i22i−2i2i−2i2i−2i2-200000000i2−i2000000i2−i2i2−i22−22−20000002−2000
χ382-2-222-22-20-20022-2000i2−i2i2−i22i−2i2i−2i−2i2i-2200000000i2−i2000000−i2i2−i2i22−22−2000000−22000
χ392-2-222-22-20-20022-2000i2−i2i2−i2−2i2i−2i2i2i−2i-2200000000i2−i2000000−i2i2−i2i2−22−220000002−2000
χ402-2-222-22-20-20022-2000i2−i2i2−i2−2i2i−2i2i−2i2i2-200000000i2−i2000000i2−i2i2−i2−22−22000000−22000
χ412-2-222-22-20-20022-2000−i2i2−i2i22i−2i2i−2i2i−2i2-200000000−i2i2000000−i2i2−i2i2−22−22000000−22000
χ422-2-222-22-20-20022-2000−i2i2−i2i22i−2i2i−2i−2i2i-2200000000−i2i2000000i2−i2i2−i2−22−220000002−2000
χ432-2-222-22-20-20022-2000−i2i2−i2i2−2i2i−2i2i2i−2i-2200000000−i2i2000000i2−i2i2−i22−22−2000000−22000
χ442-2-222-22-20-20022-2000−i2i2−i2i2−2i2i−2i2i−2i2i2-200000000−i2i2000000−i2i2−i2i22−22−20000002−2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ47444-4-4-44-4-4444-44-4-4-4400000000000000000000000000000000000000000000000
χ48444-4-4-44-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ4944-44-4-4-44404-4000-4000000000000000000004-4000000000000000000000000000
χ5044-44-4-4-44404-4000-400000000000000000000-44000000000000000000000000000
χ5144-44-4-4-44-40-440004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5244-44-4-4-44-40-44000400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5344-4-444-4-440-44000-40000002222−22−2200000000000000−222200000000000000000000000
χ5444-4-444-4-440-44000-4000000−22−2222220000000000000022−2200000000000000000000000
χ554-44-44-4-44000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ564-44-44-4-44000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ574-44-44-4-440000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ584-44-44-4-440000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ594-4-444-44-40400-4-440002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ604-4-444-44-40400-4-44000−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ614-4-4-4-444404004-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4-4-444404004-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-4-4-44440-400-44400000000000000000004-400000000000000000000000000000
χ644-4-4-4-44440-400-4440000000000000000000-4400000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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