Finite Group Databasebeta

← Group #301242

Character table — Group #301242

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222444444448888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-111-1-111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1111-1-111-1-1111-1
χ17222222222-222-2-2-22-2-20000220022-2-2-2-2000022-2-20000000000000000000000
χ18222222222-222-2-2-22-2-200002200-2-222-2-20000-2-2220000000000000000000000
χ19222222222-222-2-2-22-2-20000-2-20022-2-2220000-2-2220000000000000000000000
χ20222222222-222-2-2-22-2-20000-2-200-2-22222000022-2-20000000000000000000000
χ2122222222-22-2-2222-2-2-22222002200000022-2-2000000000000-2-2000000000000
χ2222222222-22-2-2222-2-2-2222200-2-2000000-2-2-2-200000000000022000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20022000000-2-222000000000000-22000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-200-2-200000022220000000000002-2000000000000
χ252-2-222-2-220-200-22200022-2-2002-20000002-2002−22−2000022−2−2000000002−22−200
χ262-2-222-2-220-200-22200022-2-2002-20000002-200−22−220000−2−22200000000−22−2200
χ272-2-222-2-220-200-22200022-2-200-22000000-22002−22−2000022−2−200000000−22−2200
χ282-2-222-2-220-200-22200022-2-200-22000000-2200−22−220000−2−222000000002−22−200
χ292-2-222-2-220-200-222000-2-222002-2000000-22002−22−20000−2−222000000002−2−2200
χ302-2-222-2-220-200-222000-2-222002-2000000-2200−22−22000022−2−200000000−222−200
χ312-2-222-2-220-200-222000-2-22200-220000002-2002−22−20000−2−22200000000−222−200
χ322-2-222-2-220-200-222000-2-22200-220000002-200−22−22000022−2−2000000002−2−2200
χ332-2-2-2-222222-2-2-22-22-2200002-20000002-20000000022-2-22-22-200000000000000
χ342-2-2-2-222222-2-2-22-22-2200002-20000002-200000000-2-222-22-2200000000000000
χ352-2-2-2-222222-2-2-22-22-220000-22000000-220000000022-2-2-22-2200000000000000
χ362-2-2-2-222222-2-2-22-22-220000-22000000-2200000000-2-2222-22-200000000000000
χ372-2-2-2-22222-2-2-22-2222-22-22-22-2000000-22002-20000000000000000002-2000000
χ382-2-2-2-22222-2-2-22-2222-22-22-2-220000002-2002-2000000000000000000-22000000
χ392-2-2-2-22222-2-2-22-2222-2-22-222-2000000-2200-22000000000000000000-22000000
χ402-2-2-2-22222-2-2-22-2222-2-22-22-220000002-200-220000000000000000002-2000000
χ412-2-2-2-2222-2-2222-22-2-222-22-2000000000000-22000000000000002-22-200000000
χ422-2-2-2-2222-2-2222-22-2-222-22-2000000000000-2200000000000000-22-2200000000
χ432-2-2-2-2222-2-2222-22-2-22-22-220000000000002-2000000000000002-2-2200000000
χ442-2-2-2-2222-2-2222-22-2-22-22-220000000000002-200000000000000-222-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-4-440400-4-440004-4-440000000000000000000000000000000000000000
χ47444-4-4-4-440400-4-44000-444-40000000000000000000000000000000000000000
χ48444-4-4-4-440-40044-40000000000000000000000000000022−22−222200000000000000
χ49444-4-4-4-440-40044-400000000000000000000000000000−222222−2200000000000000
χ5044-44-44-4-4404-4000-40000000000004-400000000000000000000000000000000
χ5144-44-44-4-4404-4000-4000000000000-4400000000000000000000000000000000
χ5244-44-44-4-4-40-4400040000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5344-44-44-4-4-40-440004000000000000000000000000−2i22i2−2i22i2000000000000000000
χ544-44-444-4-440-44000-400000000004-40000000000000000000000000000000000
χ554-44-444-4-440-44000-40000000000-440000000000000000000000000000000000
χ564-44-444-4-4-404-400040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ574-44-444-4-4-404-40004000000000000000000000000−2i22i22i2−2i2000000000000000000
χ584-4-444-4-4404004-4-400000000000000000000022−22−22220000000000000000000000
χ594-4-444-4-4404004-4-4000000000000000000000−222222−220000000000000000000000
χ604-4-4-4-4444-4444-44-4-44-400000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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