Finite Group Databasebeta

← Group #314199

Character table — Group #314199

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1
χ51111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-11-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-1-1-1-11111-11
χ13111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-1111111-1-11-1
χ17222222222-22-22-22-2-2-22222220022000000000000-2-200000000-2-20000000000
χ18222222222-22-22-22-2-2-22222-2-200-2-2000000000000-2-200000000220000000000
χ19222222222-22-22-22-2-2-2-2-2-2-22200-2-200000000000022000000002-20000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2-2-200220000000000002200000000-220000000000
χ2122222222-22-22-22-22-2-2000000220022-2-2-2-2-2-200000022000000000000000000
χ2222222222-22-22-22-22-2-20000002200-2-2-2-22222000000-2-2000000000000000000
χ2322222222-22-22-22-22-2-2000000-2-2002222-2-222000000-2-2000000000000000000
χ2422222222-22-22-22-22-2-2000000-2-200-2-22222-2-200000022000000000000000000
χ252-222-22-2-220-20-2020002i2i−2i−2i2-2002i−2i000000i2−i2000000i2−i222−2−20000002−200i2−i200
χ262-222-22-2-220-20-2020002i2i−2i−2i2-2002i−2i000000−i2i2000000−i2i2−2−222000000−2200−i2i200
χ272-222-22-2-220-20-2020002i2i−2i−2i-2200−2i2i000000i2−i2000000i2−i222−2−2000000−2200−i2i200
χ282-222-22-2-220-20-2020002i2i−2i−2i-2200−2i2i000000−i2i2000000−i2i2−2−2220000002−200i2−i200
χ292-222-22-2-220-20-202000−2i−2i2i2i2-200−2i2i000000i2−i2000000i2−i2−2−222000000−2200i2−i200
χ302-222-22-2-220-20-202000−2i−2i2i2i2-200−2i2i000000−i2i2000000−i2i222−2−20000002−200−i2i200
χ312-222-22-2-220-20-202000−2i−2i2i2i-22002i−2i000000i2−i2000000i2−i2−2−2220000002−200−i2i200
χ322-222-22-2-220-20-202000−2i−2i2i2i-22002i−2i000000−i2i2000000−i2i222−2−2000000−2200i2−i200
χ332-22-22-2-2222-2-222-2-2-222i−2i2i−2i0000002-2002-20000002i−2i000000000000002i−2i0000
χ342-22-22-2-2222-2-222-2-2-222i−2i2i−2i000000-2200-220000002i−2i00000000000000−2i2i0000
χ352-22-22-2-2222-2-222-2-2-22−2i2i−2i2i0000002-2002-2000000−2i2i00000000000000−2i2i0000
χ362-22-22-2-2222-2-222-2-2-22−2i2i−2i2i000000-2200-22000000−2i2i000000000000002i−2i0000
χ372-22-22-2-222-2-222-2-222-22i−2i2i−2i000000000000000000−2i2i0000002-2002i−2i00000000
χ382-22-22-2-222-2-222-2-222-22i−2i2i−2i000000000000000000−2i2i000000-2200−2i2i00000000
χ392-22-22-2-222-2-222-2-222-2−2i2i−2i2i0000000000000000002i−2i0000002-200−2i2i00000000
χ402-22-22-2-222-2-222-2-222-2−2i2i−2i2i0000000000000000002i−2i000000-22002i−2i00000000
χ412-22-22-2-22-222-2-222-22-200000000002-200-22002i2i−2i−2i00002i−2i2i−2i00000000000000
χ422-22-22-2-22-222-2-222-22-200000000002-200-2200−2i−2i2i2i0000−2i2i−2i2i00000000000000
χ432-22-22-2-22-222-2-222-22-20000000000-22002-2002i2i−2i−2i0000−2i2i−2i2i00000000000000
χ442-22-22-2-22-222-2-222-22-20000000000-22002-200−2i−2i2i2i00002i−2i2i−2i00000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-44-44040-40-40004-4-440000000000000000000000000000000000000000
χ47444-4-4-44-44040-40-4000-444-40000000000000000000000000000000000000000
χ48444-4-4-44-4-40-40404000000000000000000000000000002i2−2i2−2i22i200000000000000
χ49444-4-4-44-4-40-4040400000000000000000000000000000−2i22i22i2−2i200000000000000
χ5044-4-4-44-44040-40-404000000004i−4i000000000000000000000000000000000000
χ5144-4-4-44-44040-40-40400000000−4i4i000000000000000000000000000000000000
χ5244-4-4-44-440-404040-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5344-4-4-44-440-404040-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ544-444-44-4-4-404040-400000000000000000002i2−2i2000000−2i22i2000000000000000000
χ554-444-44-4-4-404040-40000000000000000000−2i22i20000002i2−2i2000000000000000000
χ564-44-44-4-44-4-444-4-444-4400000000000000000000000000000000000000000000
χ574-4-44-4-44404040-40-4000000000000004i−4i000000000000000000000000000000
χ584-4-44-4-44404040-40-400000000000000−4i4i000000000000000000000000000000
χ594-4-44-4-4440-40-404040000000000000000000022−22−22220000000000000000000000
χ604-4-44-4-4440-40-4040400000000000000000000−222222−220000000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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