Finite Group Databasebeta

← Group #336186

Character table — Group #336186

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11-1-1
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-11111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-11-11-1-111-1-111-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-11-1111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-11111-1-11
χ17222222222-2-22-222-2-2-20000220022-2-20022-2-200000000-200000000000000
χ18222222222-2-22-222-2-2-200002200-2-2-2-200-2-22200000000200000000000000
χ19222222222-2-22-222-2-2-20000-2-200222200-2-22200000000-200000000000000
χ20222222222-2-22-222-2-2-20000-2-200-2-2220022-2-200000000200000000000000
χ2122222222-222-22-2-22-2-2222200220000-2-2000000000000000-2-22000000000
χ2222222222-222-22-2-22-2-2222200-2-20000-2-200000000000000022-2000000000
χ2322222222-222-22-2-22-2-2-2-2-2-200220000220000000000000002-2-2000000000
χ2422222222-222-22-2-22-2-2-2-2-2-200-2-2000022000000000000000-222000000000
χ252222-2-2-2-2-200-202200022−2−22-2002i−2i002−22i−2i0022−2−2i2i2−i2−i20000000000i2−i2000
χ262222-2-2-2-2-200-202200022−2−22-200−2i2i002−2−2i2i0022−2−2−i2−i2i2i20000000000−i2i2000
χ272222-2-2-2-2-200-202200022−2−2-22002i−2i002−2−2i2i00−2−222−i2−i2i2i20000000000i2−i2000
χ282222-2-2-2-2-200-202200022−2−2-2200−2i2i002−22i−2i00−2−222i2i2−i2−i20000000000−i2i2000
χ292222-2-2-2-2-200-2022000−2−2222-2002i−2i00−222i−2i00−2−222−i2−i2i2i20000000000−i2i2000
χ302222-2-2-2-2-200-2022000−2−2222-200−2i2i00−22−2i2i00−2−222i2i2−i2−i20000000000i2−i2000
χ312222-2-2-2-2-200-2022000−2−222-22002i−2i00−22−2i2i0022−2−2i2i2−i2−i20000000000−i2i2000
χ322222-2-2-2-2-200-2022000−2−222-2200−2i2i00−222i−2i0022−2−2−i2−i2i2i20000000000i2−i2000
χ3322-2-2-22-22-2222-2-22-2-220000000000000000002i−2i2i−2i000002i−2i000002-200000
χ3422-2-2-22-22-2222-2-22-2-220000000000000000002i−2i2i−2i00000−2i2i00000-2200000
χ3522-2-2-22-22-2222-2-22-2-22000000000000000000−2i2i−2i2i000002i−2i00000-2200000
χ3622-2-2-22-22-2222-2-22-2-22000000000000000000−2i2i−2i2i00000−2i2i000002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-440040-4-40002222−22−2200000000−2222000000000000000000000000000
χ394444-4-4-4-440040-4-4000−22−2222220000000022−22000000000000000000000000000
χ4044-4-44-44-4400-40-440000000000000000000002i2−2i2−2i22i20000000000000000000
χ4144-4-44-44-4400-40-44000000000000000000000−2i22i22i2−2i20000000000000000000
χ4244-4-44-44-4-400404-400000000000004i−4i00000000000000000000000000000
χ4344-4-44-44-4-400404-40000000000000−4i4i00000000000000000000000000000
χ4444-4-4-44-44444-4-44-4-44-400000000000000000000000000000000000000000
χ4544-4-4-44-444-4-4-444-44-4400000000000000000000000000000000000000000
χ4644-4-4-44-44-4-4-444-4444-400000000000000000000000000000000000000000
χ474-44-444-4-400000000002i2−2i22i2−2i200000000000022−2200002i−2i2i−2i000000000000000
χ484-44-444-4-400000000002i2−2i22i2−2i2000000000000−22220000−2i2i−2i2i000000000000000
χ494-44-444-4-40000000000−2i22i2−2i22i200000000000022−220000−2i2i−2i2i000000000000000
χ504-44-444-4-40000000000−2i22i2−2i22i2000000000000−222200002i−2i2i−2i000000000000000
χ514-44-4-4-44404-40400-4004i−4i−4i4i0000000000000000000000000000000000000
χ524-44-4-4-44404-40400-400−4i4i4i−4i0000000000000000000000000000000000000
χ534-44-4-4-4440-440-400400000000000000000000000022−22−2222000000000000000
χ544-44-4-4-4440-440-4004000000000000000000000000−222222−22000000000000000
χ554-4-444-4-4404-40-4004000000000000000000000000000000000022−220000000
χ564-4-444-4-4404-40-40040000000000000000000000000000000000−22220000000
χ574-4-444-4-440-440400-4000000004i−4i000000000000000000000000000000000
χ584-4-444-4-440-440400-400000000−4i4i000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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