Finite Group Databasebeta

← Group #336142

Character table — Group #336142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-111-1-11111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-11
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-11111-11-1
χ17222222222-2-22-222-2-2-200002200-2-2220022-2-2000000000-20000000000000
χ18222222222-2-22-222-2-2-200002200-2-2-2-200-2-22200000000020000000000000
χ19222222222-2-22-222-2-2-20000-2-200222200-2-222000000000-20000000000000
χ20222222222-2-22-222-2-2-20000-2-20022-2-20022-2-200000000020000000000000
χ2122222222-222-22-2-22-2-2222200220000-2-200000000000020-2-200000000000
χ2222222222-222-22-2-22-2-2222200-2-20000-2-2000000000000-202200000000000
χ2322222222-222-22-2-22-2-2-2-2-2-20022000022000000000000-202-200000000000
χ2422222222-222-22-2-22-2-2-2-2-2-200-2-200002200000000000020-2200000000000
χ2522-22-2-22-2-200202-2000i2i2−i2−i200002i−2i2-2i2−i2002i−2i22−2−222−2−20000000000i2−i2000
χ2622-22-2-22-2-200202-2000i2i2−i2−i200002i−2i-22i2−i200−2i2i22−2−2−2−2220000000000−i2i2000
χ2722-22-2-22-2-200202-2000i2i2−i2−i20000−2i2i2-2i2−i200−2i2i−2−222−2−2220000000000i2−i2000
χ2822-22-2-22-2-200202-2000i2i2−i2−i20000−2i2i-22i2−i2002i−2i−2−22222−2−20000000000−i2i2000
χ2922-22-2-22-2-200202-2000−i2−i2i2i200002i−2i2-2−i2i2002i−2i−2−222−2−2220000000000−i2i2000
χ3022-22-2-22-2-200202-2000−i2−i2i2i200002i−2i-22−i2i200−2i2i−2−22222−2−20000000000i2−i2000
χ3122-22-2-22-2-200202-2000−i2−i2i2i20000−2i2i2-2−i2i200−2i2i22−2−222−2−20000000000−i2i2000
χ3222-22-2-22-2-200202-2000−i2−i2i2i20000−2i2i-22−i2i2002i−2i22−2−2−2−2220000000000i2−i2000
χ332-2-2222-2-2-2222-2-22-2-220000000000000000002i−2i2i−2i000000002i−2i002-200000
χ342-2-2222-2-2-2222-2-22-2-220000000000000000002i−2i2i−2i00000000−2i2i00-2200000
χ352-2-2222-2-2-2222-2-22-2-22000000000000000000−2i2i−2i2i000000002i−2i00-2200000
χ362-2-2222-2-2-2222-2-22-2-22000000000000000000−2i2i−2i2i00000000−2i2i002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-44-4400-40-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ3944-44-4-44-4400-40-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ4044-4-4-44-4404-40400-4000000004i−4i000000000000000000000000000000000
χ4144-4-4-44-4404-40400-400000000−4i4i000000000000000000000000000000000
χ4244-4-4-44-440-440-4004000000000000000000000000000000000022−220000000
χ4344-4-4-44-440-440-40040000000000000000000000000000000000−22220000000
χ444-444-4-4-4440040-4-40000000000000000000002i2−2i2−2i22i20000000000000000000
χ454-444-4-4-4440040-4-4000000000000000000000−2i22i22i2−2i20000000000000000000
χ464-444-4-4-44-400-404400000004-400000000000000000000000000000000000
χ474-444-4-4-44-400-40440000000-4400000000000000000000000000000000000
χ484-44-4-444-404-40-400400000000000000000000000022−2222−22000000000000000
χ494-44-4-444-404-40-4004000000000000000000000000−2222−2222000000000000000
χ504-44-4-444-40-440400-4004i−4i4i−4i0000000000000000000000000000000000000
χ514-44-4-444-40-440400-400−4i4i−4i4i0000000000000000000000000000000000000
χ524-4-4444-4-4444-4-44-4-44-400000000000000000000000000000000000000000
χ534-4-4444-4-44-4-4-444-44-4400000000000000000000000000000000000000000
χ544-4-4444-4-4-4-4-444-4444-400000000000000000000000000000000000000000
χ554-4-4-44-444000000000022−22−2222000000000022−220000002-2-22000000000000000
χ564-4-4-44-444000000000022−22−22220000000000−2222000000-222-2000000000000000
χ574-4-4-44-4440000000000−222222−22000000000022−22000000-222-2000000000000000
χ584-4-4-44-4440000000000−222222−220000000000−22220000002-2-22000000000000000
χ59888-88-8-8-8000000000000000000000000000000000000000000000000000

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