Finite Group Databasebeta

← Group #307678

Character table — Group #307678

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ51111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
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
χ9111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1111-1
χ12111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-11-1-111-1-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1111-1
χ172222222222-2-222-2-2-2-2000022220000-2-2-2-20022-2-20000000000000000000000
χ182222222222-2-222-2-2-2-2000022-2-20000-2-22200-2-2220000000000000000000000
χ192222222222-2-222-2-2-2-20000-2-222000022-2-200-2-2220000000000000000000000
χ202222222222-2-222-2-2-2-20000-2-2-2-2000022220022-2-20000000000000000000000
χ2122222222-2-222-2-222-2-22222000022220000-2-2000000000000-2-2000000000000
χ2222222222-2-222-2-222-2-222220000-2-2-2-20000-2-200000000000022000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2000022-2-2000022000000000000-22000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000-2-2220000220000000000002-2000000000000
χ2522-22-2-22-2002-2002-2002i2i−2i−2i00002-22i−2i000000i2−i2i2−i2000022−2−200000000i2−i22−200
χ2622-22-2-22-2002-2002-2002i2i−2i−2i00002-22i−2i000000−i2i2−i2i20000−2−22200000000−i2i2−2200
χ2722-22-2-22-2002-2002-2002i2i−2i−2i0000-22−2i2i000000i2−i2i2−i2000022−2−200000000−i2i2−2200
χ2822-22-2-22-2002-2002-2002i2i−2i−2i0000-22−2i2i000000−i2i2−i2i20000−2−22200000000i2−i22−200
χ2922-22-2-22-2002-2002-200−2i−2i2i2i00002-2−2i2i000000i2−i2i2−i20000−2−22200000000i2−i2−2200
χ3022-22-2-22-2002-2002-200−2i−2i2i2i00002-2−2i2i000000−i2i2−i2i2000022−2−200000000−i2i22−200
χ3122-22-2-22-2002-2002-200−2i−2i2i2i0000-222i−2i000000i2−i2i2−i20000−2−22200000000−i2i22−200
χ3222-22-2-22-2002-2002-200−2i−2i2i2i0000-222i−2i000000−i2i2−i2i2000022−2−200000000i2−i2−2200
χ332-2-2222-2-22222-2-2-2-2-222-22-2002i−2i0000002i−2i2-20000000000000000002i−2i000000
χ342-2-2222-2-22222-2-2-2-2-222-22-200−2i2i000000−2i2i2-2000000000000000000−2i2i000000
χ352-2-2222-2-22222-2-2-2-2-22-22-22002i−2i0000002i−2i-22000000000000000000−2i2i000000
χ362-2-2222-2-22222-2-2-2-2-22-22-2200−2i2i000000−2i2i-220000000000000000002i−2i000000
χ372-2-2222-2-222-2-2-2-2222-20000002i−2i000000−2i2i00000022-2-22i−2i2i−2i00000000000000
χ382-2-2222-2-222-2-2-2-2222-20000002i−2i000000−2i2i000000-2-222−2i2i−2i2i00000000000000
χ392-2-2222-2-222-2-2-2-2222-2000000−2i2i0000002i−2i00000022-2-2−2i2i−2i2i00000000000000
χ402-2-2222-2-222-2-2-2-2222-2000000−2i2i0000002i−2i000000-2-2222i−2i2i−2i00000000000000
χ412-2-2222-2-2-2-22222-2-22-22-22-2000000000000-22000000000000002i−2i2i−2i00000000
χ422-2-2222-2-2-2-22222-2-22-22-22-2000000000000-2200000000000000−2i2i−2i2i00000000
χ432-2-2222-2-2-2-22222-2-22-2-22-220000000000002-2000000000000002i−2i−2i2i00000000
χ442-2-2222-2-2-2-22222-2-22-2-22-220000000000002-200000000000000−2i2i2i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-44-4-44-400-4400-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ4744-44-4-44-400-4400-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4844-4-44-4-444-4004-4000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4944-4-44-4-444-4004-400000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5044-4-44-4-44-4400-4400000000000000004i−4i000000000000000000000000000000
χ5144-4-44-4-44-4400-440000000000000000−4i4i000000000000000000000000000000
χ524-444-4-4-44004-400-44004i−4i−4i4i0000000000000000000000000000000000000000
χ534-444-4-4-44004-400-4400−4i4i4i−4i0000000000000000000000000000000000000000
χ544-444-4-4-4400-44004-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ554-444-4-4-4400-44004-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ564-44-44-44-44-400-44000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ574-44-44-44-44-400-4400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ584-44-44-44-4-44004-4000000004i−4i00000000000000000000000000000000000000
χ594-44-44-44-4-44004-400000000−4i4i00000000000000000000000000000000000000
χ604-4-4444-4-4-4-4-4-44444-4400000000000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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