Finite Group Databasebeta

← Group #338904

Character table — Group #338904

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
χ9111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ17222222222-222-2-2-22-2-222220000000022-2-200-2-2-2-20000000000000020000000000
χ18222222222-222-2-2-22-2-2222200000000-2-2220022-2-200000000000000-20000000000
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−2i22−2−20000002-2002i−2i002−22−22−20000i2i2−i2−i20000i2−i200000
χ3022-2-222-2-2-202-20002002i2i−2i−2i22−2−2000000-2200−2i2i002−2−22−220000i2i2−i2−i20000−i2i200000
χ3122-2-222-2-2-202-20002002i2i−2i−2i−2−2220000002-2002i−2i00−22−22−220000−i2−i2i2i20000−i2i200000
χ3222-2-222-2-2-202-20002002i2i−2i−2i−2−222000000-2200−2i2i00−222−22−20000−i2−i2i2i20000i2−i200000
χ3322-2-222-2-2-202-2000200−2i−2i2i2i22−2−20000002-200−2i2i002−22−22−20000−i2−i2i2i20000−i2i200000
χ3422-2-222-2-2-202-2000200−2i−2i2i2i22−2−2000000-22002i−2i002−2−22−220000−i2−i2i2i20000i2−i200000
χ3522-2-222-2-2-202-2000200−2i−2i2i2i−2−2220000002-200−2i2i00−22−22−220000i2i2−i2−i20000i2−i200000
χ3622-2-222-2-2-202-2000200−2i−2i2i2i−2−222000000-22002i−2i00−222−22−20000i2i2−i2−i20000−i2i200000
χ372-22-22-2-220-20022-2000i2−i2i2−i22i−2i2i−2i2-22i−2i00000000i2−i20000002−22−22−22−2000000i2−i2000
χ382-22-22-2-220-20022-2000i2−i2i2−i22i−2i2i−2i-22−2i2i00000000i2−i2000000−22−222−22−2000000−i2i2000
χ392-22-22-2-220-20022-2000i2−i2i2−i2−2i2i−2i2i2-2−2i2i00000000i2−i2000000−22−22−22−22000000i2−i2000
χ402-22-22-2-220-20022-2000i2−i2i2−i2−2i2i−2i2i-222i−2i00000000i2−i20000002−22−2−22−22000000−i2i2000
χ412-22-22-2-220-20022-2000−i2i2−i2i22i−2i2i−2i2-22i−2i00000000−i2i2000000−22−22−22−22000000−i2i2000
χ422-22-22-2-220-20022-2000−i2i2−i2i22i−2i2i−2i-22−2i2i00000000−i2i20000002−22−2−22−22000000i2−i2000
χ432-22-22-2-220-20022-2000−i2i2−i2i2−2i2i−2i2i2-2−2i2i00000000−i2i20000002−22−22−22−2000000−i2i2000
χ442-22-22-2-220-20022-2000−i2i2−i2i2−2i2i−2i2i-222i−2i00000000−i2i2000000−22−222−22−2000000i2−i2000
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
χ4944-44-4-4-44404-4000-4000000000000004-4000000000000000000000000000000000
χ5044-44-4-4-44404-4000-400000000000000-44000000000000000000000000000000000
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
χ554-444-44-4-404004-4-4000000000000000000000000000000022−22−2222000000000000000
χ564-444-44-4-404004-4-40000000000000000000000000000000−222222−22000000000000000
χ574-444-44-4-40-400-44400000000000000000004i−4i00000000000000000000000000000
χ584-444-44-4-40-400-4440000000000000000000−4i4i00000000000000000000000000000
χ594-44-44-4-440400-4-440002i2−2i22i2−2i20000000000000000−2i22i20000000000000000000000000
χ604-44-44-4-440400-4-44000−2i22i2−2i22i200000000000000002i2−2i20000000000000000000000000
χ614-4-444-44-4000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ624-4-444-44-4000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ634-4-444-44-40000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ644-4-444-44-40000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ658-8-8-8-8888000000000000000000000000000000000000000000000000000000000

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