Finite Group Databasebeta

← Group #308993

Character table — Group #308993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-1111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-11111-1-11-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-11-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11111-1-11-1-111-1-1-11
χ172222222222-2-22-2-222222-2-20000-2-2000000220000-2-200000020000-200000000
χ182222222222-2-22-2-222222-2-20000-2-2000000-2-2000022000000-20000200000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000022000000220000-2-2000000-20000200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2000022000000-2-200002200000020000-200000000
χ2122222222-2-222-222-20000-2-22222002222-2-2000000000000-2-200000000000000
χ2222222222-2-222-222-20000-2-2222200-2-2-2-2-2-20000000000002200000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-20022-2-222000000000000-2200000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-200-2-222220000000000002-200000000000000
χ25222-2-2-2-22002-202-2000000022-2-2002-22-200i2−i20000i2−i2i2i2−i2−i20000000000i2−i2i2−i200
χ26222-2-2-2-22002-202-2000000022-2-2002-22-200−i2i20000−i2i2−i2−i2i2i20000000000−i2i2−i2i200
χ27222-2-2-2-22002-202-2000000022-2-200-22-2200i2−i20000i2−i2i2i2−i2−i20000000000−i2i2−i2i200
χ28222-2-2-2-22002-202-2000000022-2-200-22-2200−i2i20000−i2i2−i2−i2i2i20000000000i2−i2i2−i200
χ29222-2-2-2-22002-202-20000000-2-222002-2-2200i2−i20000i2−i2−i2−i2i2i20000000000i2−i2−i2i200
χ30222-2-2-2-22002-202-20000000-2-222002-2-2200−i2i20000−i2i2i2i2−i2−i20000000000−i2i2i2−i200
χ31222-2-2-2-22002-202-20000000-2-22200-222-200i2−i20000i2−i2−i2−i2i2i20000000000−i2i2i2−i200
χ32222-2-2-2-22002-202-20000000-2-22200-222-200−i2i20000−i2i2i2i2−i2−i20000000000i2−i2−i2i200
χ3322-2-2-222-22222-2-2-2-200002-22-22-20000002-20000000000000002-22-2000000000
χ3422-2-2-222-22222-2-2-2-200002-22-22-20000002-2000000000000000-22-22000000000
χ3522-2-2-222-22222-2-2-2-200002-2-22-22000000-220000000000000002-2-22000000000
χ3622-2-2-222-22222-2-2-2-200002-2-22-22000000-22000000000000000-222-2000000000
χ3722-2-2-222-2-2-2222-2-222i2i−2i−2i-222-22-22i−2i0000-22002i2i−2i−2i0000000000000000000000
χ3822-2-2-222-2-2-2222-2-222i2i−2i−2i-22-22-222i−2i00002-200−2i−2i2i2i0000000000000000000000
χ3922-2-2-222-2-2-2222-2-22−2i−2i2i2i-222-22-2−2i2i0000-2200−2i−2i2i2i0000000000000000000000
χ4022-2-2-222-2-2-2222-2-22−2i−2i2i2i-22-22-22−2i2i00002-2002i2i−2i−2i0000000000000000000000
χ4122-2-2-222-2-2-2-2-222222i2i−2i−2i2-20000−2i2i000000000000002i−2i2i−2i000000002-2000000
χ4222-2-2-222-2-2-2-2-222222i2i−2i−2i2-20000−2i2i00000000000000−2i2i−2i2i00000000-22000000
χ4322-2-2-222-2-2-2-2-22222−2i−2i2i2i2-200002i−2i000000000000002i−2i2i−2i00000000-22000000
χ4422-2-2-222-2-2-2-2-22222−2i−2i2i2i2-200002i−2i00000000000000−2i2i−2i2i000000002-2000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-4-4400-440-4400000000000000000002i2−2i20000−2i22i200000000000000000000
χ47444-4-4-4-4400-440-440000000000000000000−2i22i200002i2−2i200000000000000000000
χ4844-444-4-4-4004-40-4400000004-4-44000000000000000000000000000000000000
χ4944-444-4-4-4004-40-440000000-444-4000000000000000000000000000000000000
χ5044-444-4-4-400-4404-400000000000000000000000000022−22−22220000000000000000
χ5144-444-4-4-400-4404-4000000000000000000000000000−222222−220000000000000000
χ5244-4-4-444-444-4-4-444-40000-440000000000000000000000000000000000000000
χ534-444-44-4-44-400400-40000000000000000000022−2222−220000000000000000000000
χ544-444-44-4-44-400400-400000000000000000000−2222−22220000000000000000000000
χ554-444-44-4-4-4400-40044i−4i4i−4i000000000000000000000000000000000000000000
χ564-444-44-4-4-4400-4004−4i4i−4i4i000000000000000000000000000000000000000000
χ574-4-4-444-444-400-40044-4-44000000000000000000000000000000000000000000
χ584-4-4-444-444-400-4004-444-4000000000000000000000000000000000000000000
χ594-4-4-444-44-4400400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ604-4-4-444-44-4400400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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