Finite Group Databasebeta

← Group #264409

Character table — Group #264409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222444444448888888888888822244488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1111111-1-1-1-1
χ51111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-11-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1
χ10111111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11
χ11111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111111-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111-11
χ13111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1111-1-111-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-111111-1
χ172222222222-22-2-2-22-2-22222000000002222-2-2000000000000-200-20000000000
χ182222222222-22-2-2-22-2-2222200000000-2-2-2-2-2-200000000000020020000000000
χ192222222222-22-2-2-22-2-2-2-2-2-20000000022-2-222000000000000-20020000000000
χ202222222222-22-2-2-22-2-2-2-2-2-200000000-2-22222000000000000200-20000000000
χ2122222222-2-22-2222-2-2-200002222-2-2-2-200000022-2-20000000000000000000000
χ2222222222-2-22-2222-2-2-2000022-2-2-2-222000000-2-2220000000000000000000000
χ2322222222-2-22-2222-2-2-20000-2-22222-2-2000000-2-2220000000000000000000000
χ2422222222-2-22-2222-2-2-20000-2-2-2-2222200000022-2-20000000000000000000000
χ2522-2-22-22-22-202000-2002i2i−2i−2i000000002i−2i2-2002−22−20000i2i2−i2−i2000000i2−i22−20000
χ2622-2-22-22-22-202000-2002i2i−2i−2i000000002i−2i2-200−22−220000−i2−i2i2i2000000−i2i2−220000
χ2722-2-22-22-22-202000-2002i2i−2i−2i00000000−2i2i-22002−22−20000i2i2−i2−i2000000−i2i2−220000
χ2822-2-22-22-22-202000-2002i2i−2i−2i00000000−2i2i-2200−22−220000−i2−i2i2i2000000i2−i22−20000
χ2922-2-22-22-22-202000-200−2i−2i2i2i000000002i−2i-22002−22−20000−i2−i2i2i2000000i2−i2−220000
χ3022-2-22-22-22-202000-200−2i−2i2i2i000000002i−2i-2200−22−220000i2i2−i2−i2000000−i2i22−20000
χ3122-2-22-22-22-202000-200−2i−2i2i2i00000000−2i2i2-2002−22−20000−i2−i2i2i2000000−i2i22−20000
χ3222-2-22-22-22-202000-200−2i−2i2i2i00000000−2i2i2-200−22−220000i2i2−i2−i2000000i2−i2−220000
χ332-2-22-2-22222-2-222-2-22-20000002-2002-200000000002i2i−2i−2i2i−2i2i−2i00000000000000
χ342-2-22-2-22222-2-222-2-22-20000002-2002-20000000000−2i−2i2i2i−2i2i−2i2i00000000000000
χ352-2-22-2-22222-2-222-2-22-2000000-2200-2200000000002i2i−2i−2i−2i2i−2i2i00000000000000
χ362-2-22-2-22222-2-222-2-22-2000000-2200-220000000000−2i−2i2i2i2i−2i2i−2i00000000000000
χ372-2-22-2-222-2-222-2-2222-22-22-20000000000002-200000000000002-202-200000000
χ382-2-22-2-222-2-222-2-2222-22-22-20000000000002-20000000000000-220-2200000000
χ392-2-22-2-222-2-222-2-2222-2-22-22000000000000-2200000000000002-20-2200000000
χ402-2-22-2-222-2-222-2-2222-2-22-22000000000000-220000000000000-2202-200000000
χ412-2-22-2-222-2-2-2222-22-222-22-2002-200-220000-2200000000000000000000002-200
χ422-2-22-2-222-2-2-2222-22-222-22-200-22002-20000-220000000000000000000000-2200
χ432-2-22-2-222-2-2-2222-22-22-22-22002-200-2200002-20000000000000000000000-2200
χ442-2-22-2-222-2-2-2222-22-22-22-2200-22002-200002-200000000000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-4-44-44-4-440-400040000000000000000000022−22−22220000000000000000000000
χ4744-4-44-44-4-440-4000400000000000000000000−222222−220000000000000000000000
χ4844-4-4-44-4400404-4-400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4944-4-4-44-4400404-4-40000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5044-4-4-44-4400-40-44400000004-400000000000000000000000000000000000000
χ5144-4-4-44-4400-40-4440000000-4400000000000000000000000000000000000000
χ524-44-44-4-440040-44-4000000000004i−4i0000000000000000000000000000000000
χ534-44-44-4-440040-44-400000000000−4i4i0000000000000000000000000000000000
χ544-44-44-4-4400-404-44000000000000000000000000022−22−2222000000000000000000
χ554-44-44-4-4400-404-440000000000000000000000000−222222−22000000000000000000
χ564-44-4-444-44-40-40004000000000000000000000000000022−22−222200000000000000
χ574-44-4-444-44-40-400040000000000000000000000000000−222222−2200000000000000
χ584-44-4-444-4-4404000-4004i−4i−4i4i0000000000000000000000000000000000000000
χ594-44-4-444-4-4404000-400−4i4i4i−4i0000000000000000000000000000000000000000
χ604-4-44-4-444444-4-4-44-4-4400000000000000000000000000000000000000000000
χ618888-8-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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