Finite Group Databasebeta

← Group #313135

Character table — Group #313135

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-111-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-1-111-1-111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1111111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1111-1-111-1-1111-1
χ17222222222-22-22-22-2-2-2222200002200220000-2-20000000000-2-2000000000000
χ18222222222-22-22-22-2-2-222220000-2-200-2-20000-2-2000000000022000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-200002200-2-20000220000000000-22000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000-2-2002200002200000000002-2000000000000
χ2122222222-22-22-22-22-2-2000022-2-2002200-2-222000000-2-2000000000000000000
χ2222222222-22-22-22-22-2-2000022-2-200-2-20022-2-200000022000000000000000000
χ2322222222-22-22-22-22-2-20000-2-222002200-2-2-2-200000022000000000000000000
χ2422222222-22-22-22-22-2-20000-2-22200-2-2002222000000-2-2000000000000000000
χ2522-22-2-22-2-20-202020002i2i−2i−2i00002i−2i002-2002−20000002−2i2i2−i2−i200000000i2−i22−200
χ2622-22-2-22-2-20-202020002i2i−2i−2i00002i−2i002-200−22000000−22−i2−i2i2i200000000−i2i2−2200
χ2722-22-2-22-2-20-202020002i2i−2i−2i0000−2i2i00-22002−20000002−2i2i2−i2−i200000000−i2i2−2200
χ2822-22-2-22-2-20-202020002i2i−2i−2i0000−2i2i00-2200−22000000−22−i2−i2i2i200000000i2−i22−200
χ2922-22-2-22-2-20-20202000−2i−2i2i2i00002i−2i00-22002−20000002−2−i2−i2i2i200000000i2−i2−2200
χ3022-22-2-22-2-20-20202000−2i−2i2i2i00002i−2i00-2200−22000000−22i2i2−i2−i200000000−i2i22−200
χ3122-22-2-22-2-20-20202000−2i−2i2i2i0000−2i2i002-2002−20000002−2−i2−i2i2i200000000−i2i22−200
χ3222-22-2-22-2-20-20202000−2i−2i2i2i0000−2i2i002-200−22000000−22i2i2−i2−i200000000i2−i2−2200
χ3322-2-2-22-2222-2-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000002i−2i00000000000000002-2000000
χ3422-2-2-22-2222-2-222-2-2-222i−2i2i−2i−2i2i−2i2i00000000002i−2i0000000000000000-22000000
χ3522-2-2-22-2222-2-222-2-2-22−2i2i−2i2i2i−2i2i−2i0000000000−2i2i0000000000000000-22000000
χ3622-2-2-22-2222-2-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000−2i2i00000000000000002-2000000
χ3722-2-2-22-222-2-222-2-222-22i−2i2i−2i00000000000000−2i2i0000000000002i−2i2-200000000
χ3822-2-2-22-222-2-222-2-222-22i−2i2i−2i00000000000000−2i2i000000000000−2i2i-2200000000
χ3922-2-2-22-222-2-222-2-222-2−2i2i−2i2i000000000000002i−2i0000000000002i−2i-2200000000
χ4022-2-2-22-222-2-222-2-222-2−2i2i−2i2i000000000000002i−2i000000000000−2i2i2-200000000
χ4122-2-2-22-22-222-2-222-22-200002i−2i−2i2i00000000000022-2-2002i−2i2i−2i00000000000000
χ4222-2-2-22-22-222-2-222-22-200002i−2i−2i2i000000000000-2-22200−2i2i−2i2i00000000000000
χ4322-2-2-22-22-222-2-222-22-20000−2i2i2i−2i00000000000022-2-200−2i2i−2i2i00000000000000
χ4422-2-2-22-22-222-2-222-22-20000−2i2i2i−2i000000000000-2-222002i−2i2i−2i00000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-44-4-4-440-40-4040000000000000000000000000000022−22−222200000000000000
χ47444-44-4-4-440-40-40400000000000000000000000000000−222222−2200000000000000
χ48444-44-4-4-4-404040-40004-4-440000000000000000000000000000000000000000
χ49444-44-4-4-4-404040-4000-444-40000000000000000000000000000000000000000
χ5044-44-4-44-44040-40-4000000000000000000022−22000000−2222000000000000000000
χ5144-44-4-44-44040-40-40000000000000000000−222200000022−22000000000000000000
χ5244-4-4-44-44-4-444-4-444-4400000000000000000000000000000000000000000000
χ534-444-44-4-404040-40-40000000000004-400000000000000000000000000000000
χ544-444-44-4-404040-40-4000000000000-4400000000000000000000000000000000
χ554-444-44-4-40-40-4040400000000000000000000002i2−2i22i2−2i200000000000000000000
χ564-444-44-4-40-40-404040000000000000000000000−2i22i2−2i22i200000000000000000000
χ574-4-4-4444-4040-40-40400000000000000004i−4i0000000000000000000000000000
χ584-4-4-4444-4040-40-4040000000000000000−4i4i0000000000000000000000000000
χ594-4-4-4444-40-404040-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-4-4-4444-40-404040-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ618-88-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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