Finite Group Databasebeta

← Group #307613

Character table — Group #307613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222444444448888888888888844444488888822
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ9111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111111-1
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-111-11
χ15111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-11-1-11111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111111-1
χ1722222222222-2-2-2-22-2-22222222200000000-2-2000000000000-2-2000000000000
χ1822222222222-2-2-2-22-2-22222-2-2-2-200000000-2-200000000000022000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-222-2-20000000022000000000000-22000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2-2-22200000000220000000000002-2000000000000
χ2122222222-2-2-22222-2-2-20000000022-2-222-2-20022-2-20000000000000000000000
χ2222222222-2-2-22222-2-2-20000000022-2-2-2-22200-2-2220000000000000000000000
χ2322222222-2-2-22222-2-2-200000000-2-22222-2-200-2-2220000000000000000000000
χ2422222222-2-2-22222-2-2-200000000-2-222-2-2220022-2-20000000000000000000000
χ252-2-2222-2-22-2-222-2-222-20000000000002i−2i2i−2i00000022-2-22i2i−2i−2i00000000000000
χ262-2-2222-2-22-2-222-2-222-20000000000002i−2i2i−2i000000-2-222−2i−2i2i2i00000000000000
χ272-2-2222-2-22-2-222-2-222-2000000000000−2i2i−2i2i00000022-2-2−2i−2i2i2i00000000000000
χ282-2-2222-2-22-2-222-2-222-2000000000000−2i2i−2i2i000000-2-2222i2i−2i−2i00000000000000
χ292-2-2222-2-2-22222-2-2-2-2222-2-2000000002i−2i−2i2i2-200000000000000000000002i−2i00
χ302-2-2222-2-2-22222-2-2-2-2222-2-200000000−2i2i2i−2i2-20000000000000000000000−2i2i00
χ312-2-2222-2-2-22222-2-2-2-22-2-222000000002i−2i−2i2i-220000000000000000000000−2i2i00
χ322-2-2222-2-2-22222-2-2-2-22-2-22200000000−2i2i2i−2i-2200000000000000000000002i−2i00
χ332-2-2222-2-2-222-2-222-22-222-2-2000000000000-22000000000000002i−2i2i−2i00000000
χ342-2-2222-2-2-222-2-222-22-222-2-2000000000000-2200000000000000−2i2i−2i2i00000000
χ352-2-2222-2-2-222-2-222-22-2-2-2220000000000002-2000000000000002i−2i−2i2i00000000
χ362-2-2222-2-2-222-2-222-22-2-2-2220000000000002-200000000000000−2i2i2i−2i00000000
χ372-2-22-2-222-22-200002002-22-22-22-200000000002−22−200002−22−20000002−22−20000
χ382-2-22-2-222-22-200002002-22-22-22-20000000000−22−220000−22−22000000−22−220000
χ392-2-22-2-222-22-200002002-22-2-22-2200000000002−22−200002−22−2000000−22−220000
χ402-2-22-2-222-22-200002002-22-2-22-220000000000−22−220000−22−220000002−22−20000
χ412-2-22-2-222-22-20000200-22-222-2-2200000000002−22−20000−22−220000002−2−220000
χ422-2-22-2-222-22-20000200-22-222-2-220000000000−22−2200002−22−2000000−222−20000
χ432-2-22-2-222-22-20000200-22-22-222-200000000002−22−20000−22−22000000−222−20000
χ442-2-22-2-222-22-20000200-22-22-222-20000000000−22−2200002−22−20000002−2−220000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-444-40000-4004-4-440000000000000000000000000000000000000000
χ474444-4-4-4-444-40000-400-444-40000000000000000000000000000000000000000
χ484444-4-4-4-4-4-440000400000000000000000000000000002i2−2i2−2i22i200000000000000
χ494444-4-4-4-4-4-44000040000000000000000000000000000−2i22i22i2−2i200000000000000
χ5044-4-4-444-40004-44-4000000000000000000000000022−2222−22000000000000000000
χ5144-4-4-444-40004-44-40000000000000000000000000−2222−2222000000000000000000
χ5244-4-4-444-4000-44-44000000000004-40000000000000000000000000000000000
χ5344-4-4-444-4000-44-4400000000000-440000000000000000000000000000000000
χ544-44-4-44-440004-4-44000000000000000000000000022−22−2222000000000000000000
χ554-44-4-44-440004-4-440000000000000000000000000−222222−22000000000000000000
χ564-44-4-44-44000-444-400000000000004-400000000000000000000000000000000
χ574-44-4-44-44000-444-40000000000000-4400000000000000000000000000000000
χ584-4-4444-4-44-4-4-4-4444-4400000000000000000000000000000000000000000000
χ594-4-44-4-4444-440000-40000000000000000000022−22−22220000000000000000000000
χ604-4-44-4-4444-440000-400000000000000000000−222222−220000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-88-88-88-8000000000000000000000000000000000000000000000000000000

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