Finite Group Databasebeta

← Group #311513

Character table — Group #311513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ9111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111111-1
χ11111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111-11-1-111-1-111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-111-11
χ13111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111111-111-1-111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111111-1
χ17222222222-22-2-222-2-2-2000000222200-2-2-2-20022-2-20000000000000000000000
χ18222222222-22-2-222-2-2-200000022-2-200-2-22200-2-2220000000000000000000000
χ19222222222-22-2-222-2-2-2000000-2-2220022-2-200-2-2220000000000000000000000
χ20222222222-22-2-222-2-2-2000000-2-2-2-20022220022-2-20000000000000000000000
χ2122222222-22-222-2-22-2-22222220000220000-2-2000000000000-2-2000000000000
χ2222222222-22-222-2-22-2-22222-2-20000-2-20000-2-200000000000022000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-2220000-2-20000220000000000002-2000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2-2-2000022000022000000000000-22000000000000
χ252-22-22-22-222-2-2-22-22-222i2i−2i−2i0000000000002i−2i000000000000002-22i−2i00000000
χ262-22-22-22-222-2-2-22-22-222i2i−2i−2i0000000000002i−2i00000000000000-22−2i2i00000000
χ272-22-22-22-222-2-2-22-22-22−2i−2i2i2i000000000000−2i2i000000000000002-2−2i2i00000000
χ282-22-22-22-222-2-2-22-22-22−2i−2i2i2i000000000000−2i2i00000000000000-222i−2i00000000
χ292-22-22-22-2-222-2-2-2222-22i2i−2i−2i00002i−2i00002i−2i−2i2i00000000000000000000002-200
χ302-22-22-22-2-222-2-2-2222-22i2i−2i−2i0000−2i2i0000−2i2i−2i2i0000000000000000000000-2200
χ312-22-22-22-2-222-2-2-2222-2−2i−2i2i2i00002i−2i00002i−2i2i−2i0000000000000000000000-2200
χ322-22-22-22-2-222-2-2-2222-2−2i−2i2i2i0000−2i2i0000−2i2i2i−2i00000000000000000000002-200
χ332-22-22-22-2-2-2222-22-2-22000000002i−2i0000−2i2i0000002i2i−2i−2i22-2-200000000000000
χ342-22-22-22-2-2-2222-22-2-22000000002i−2i0000−2i2i000000−2i−2i2i2i-2-22200000000000000
χ352-22-22-22-2-2-2222-22-2-2200000000−2i2i00002i−2i0000002i2i−2i−2i-2-22200000000000000
χ362-22-22-22-2-2-2222-22-2-2200000000−2i2i00002i−2i000000−2i−2i2i2i22-2-200000000000000
χ372-2-2-2-22220-202-2002002-22-22-200002-20000002−22−200002−22−20000002−22−20000
χ382-2-2-2-22220-202-2002002-22-22-200002-2000000−22−220000−22−22000000−22−220000
χ392-2-2-2-22220-202-2002002-22-2-220000-220000002−22−200002−22−2000000−22−220000
χ402-2-2-2-22220-202-2002002-22-2-220000-22000000−22−220000−22−220000002−22−20000
χ412-2-2-2-22220-202-200200-22-222-20000-220000002−22−20000−22−220000002−2−220000
χ422-2-2-2-22220-202-200200-22-222-20000-22000000−22−2200002−22−2000000−222−20000
χ432-2-2-2-22220-202-200200-22-22-2200002-20000002−22−20000−22−22000000−222−20000
χ442-2-2-2-22220-202-200200-22-22-2200002-2000000−22−2200002−22−20000002−2−220000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-44-4-44-40404-400-4000000000000000000000000000022−22−222200000000000000
χ4744-44-4-44-40404-400-40000000000000000000000000000−222222−2200000000000000
χ4844-44-4-44-40-40-44004004i−4i−4i4i0000000000000000000000000000000000000000
χ4944-44-4-44-40-40-4400400−4i4i4i−4i0000000000000000000000000000000000000000
χ5044-4-444-4-440400-4-40000000004-4000000000000000000000000000000000000
χ5144-4-444-4-440400-4-4000000000-44000000000000000000000000000000000000
χ5244-4-444-4-4-40-4004400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ5344-4-444-4-4-40-400440000000000000000000000000−2i22i2−2i22i2000000000000000000
χ544-44-44-44-44-4-4444-4-44-400000000000000000000000000000000000000000000
χ554-4-444-4-4440-400-44000000000000000000000000022−22−2222000000000000000000
χ564-4-444-4-4440-400-440000000000000000000000000−222222−22000000000000000000
χ574-4-444-4-44-404004-40000000000000004-4000000000000000000000000000000
χ584-4-444-4-44-404004-4000000000000000-44000000000000000000000000000000
χ594-4-4-4-4444040-4400-40000000000000000000022−22−22220000000000000000000000
χ604-4-4-4-4444040-4400-400000000000000000000−222222−220000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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