Finite Group Databasebeta

← Group #339294

Character table — Group #339294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1111-1-1
χ17222222222-222-2-2-22-2-20000002222-2-20022-2-200000000000-200000000000
χ18222222222-222-2-2-22-2-200000022-2-2-2-200-2-22200000000000200000000000
χ19222222222-222-2-2-22-2-2000000-2-2222200-2-22200000000000-200000000000
χ20222222222-222-2-2-22-2-2000000-2-2-2-2220022-2-200000000000200000000000
χ2122222222-22-2-2222-2-2-2222222000000-2-2000000000000-22-2000000000000
χ2222222222-22-2-2222-2-2-22222-2-2000000-2-20000000000002-22000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-22200000022000000000000-2-22000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2-2-20000002200000000000022-2000000000000
χ25222-22-2-2-2202-2000-20022−2−2002-22-2002−22-20022−2−222−2−20000002−20000000
χ26222-22-2-2-2202-2000-20022−2−2002-2-22002−2-220022−2−2−2−222000000−220000000
χ27222-22-2-2-2202-2000-20022−2−200-222-2002−2-2200−2−222−2−2220000002−20000000
χ28222-22-2-2-2202-2000-20022−2−200-22-22002−22-200−2−22222−2−2000000−220000000
χ29222-22-2-2-2202-2000-200−2−222002-22-200−222-200−2−222−2−222000000−220000000
χ30222-22-2-2-2202-2000-200−2−222002-2-2200−22-2200−2−22222−2−20000002−20000000
χ31222-22-2-2-2202-2000-200−2−22200-222-200−22-220022−2−222−2−2000000−220000000
χ32222-22-2-2-2202-2000-200−2−22200-22-2200−222-20022−2−2−2−2220000002−20000000
χ332-222-22-2-22-2-2-22-222-220000000000000000002i−2i2i−2i000000002i−2i00002-2000
χ342-222-22-2-22-2-2-22-222-220000000000000000002i−2i2i−2i00000000−2i2i0000-22000
χ352-222-22-2-22-2-2-22-222-22000000000000000000−2i2i−2i2i000000002i−2i0000-22000
χ362-222-22-2-22-2-2-22-222-22000000000000000000−2i2i−2i2i00000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4-40-440004002222−22−2200000000−2222000000000000000000000000000
χ39444-44-4-4-4-40-44000400−22−2222220000000022−22000000000000000000000000000
χ4044-4-4-444-40400-4-4400000000000000000000000000000000000002i2−2i200000
χ4144-4-4-444-40400-4-440000000000000000000000000000000000000−2i22i200000
χ4244-4-4-444-40-40044-400000004i−4i00000000000000000000000000000000000
χ4344-4-4-444-40-40044-40000000−4i4i00000000000000000000000000000000000
χ444-444-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ454-444-44-4-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ464-444-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ474-44-4-4-44440-44000-4000000000000000000002i2−2i2−2i22i20000000000000000000
χ484-44-4-4-44440-44000-400000000000000000000−2i22i22i2−2i20000000000000000000
χ494-44-4-4-444-404-400040000000000004-400000000000000000000000000000
χ504-44-4-4-444-404-40004000000000000-4400000000000000000000000000000
χ514-4-444-44-4000000000022−2222−220000000000002i2−2i200002i−2i2i−2i000000000000000
χ524-4-444-44-4000000000022−2222−22000000000000−2i22i20000−2i2i−2i2i000000000000000
χ534-4-444-44-40000000000−2222−22220000000000002i2−2i20000−2i2i−2i2i000000000000000
χ544-4-444-44-40000000000−2222−2222000000000000−2i22i200002i−2i2i−2i000000000000000
χ554-4-4-444-4404004-4-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-4-444-4404004-4-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-4-444-440-400-4440004-4-440000000000000000000000000000000000000
χ584-4-4-444-440-400-444000-444-40000000000000000000000000000000000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000

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