Finite Group Databasebeta

← Group #339302

Character table — Group #339302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-11-111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111111-1-1111-1-1
χ17222222222-222-2-2-22-2-20000222200-2-222-2-20000000000-200000000000000
χ18222222222-222-2-2-22-2-2000022-2-200-2-2-2-2220000000000200000000000000
χ19222222222-222-2-2-22-2-20000-2-2220022-2-2220000000000-200000000000000
χ20222222222-222-2-2-22-2-20000-2-2-2-2002222-2-20000000000200000000000000
χ2122222222-22-2-2222-2-2-222220000220000000000-2-2000002-2-200000000000
χ2222222222-22-2-2222-2-2-222220000-2-20000000000-2-200000-22200000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-200002200000000002200000-2-2200000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-20000-2-20000000000220000022-200000000000
χ252222-2-2-2-2202-2000-20022−2−22-22-200002-20022−2−22−222−2−20000002−20000000
χ262222-2-2-2-2202-2000-20022−2−22-2-220000-220022−2−22−2−2−222000000−220000000
χ272222-2-2-2-2202-2000-20022−2−2-222-20000-2200−2−2222−2−2−2220000002−20000000
χ282222-2-2-2-2202-2000-20022−2−2-22-2200002-200−2−2222−222−2−2000000−220000000
χ292222-2-2-2-2202-2000-200−2−2222-22-200002-200−2−222−22−2−222000000−220000000
χ302222-2-2-2-2202-2000-200−2−2222-2-220000-2200−2−222−2222−2−20000002−20000000
χ312222-2-2-2-2202-2000-200−2−222-222-20000-220022−2−2−2222−2−2000000−220000000
χ322222-2-2-2-2202-2000-200−2−222-22-2200002-20022−2−2−22−2−2220000002−20000000
χ3322-2-22-22-22-2-2-22-222-2200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ3422-2-22-22-22-2-2-22-222-2200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ3522-2-22-22-22-2-2-22-222-220000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ3622-2-22-22-22-2-2-22-222-220000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4-40-440004002222−22−220000000000000000−22220000000000000000000
χ394444-4-4-4-4-40-44000400−22−222222000000000000000022−220000000000000000000
χ4044-4-44-44-444-4-4-44-444-400000000000000000000000000000000000000000
χ4144-4-44-44-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ4244-4-44-44-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4344-4-4-44-4440-44000-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ4444-4-4-44-4440-44000-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ4544-4-4-44-44-404-400040000000000004-400000000000000000000000000000
χ4644-4-4-44-44-404-40004000000000000-4400000000000000000000000000000
χ474-44-444-4-4000000000022−2222−22000000000022−220000002-22-2000000000000000
χ484-44-444-4-4000000000022−2222−220000000000−2222000000-22-22000000000000000
χ494-44-444-4-40000000000−2222−2222000000000022−22000000-22-22000000000000000
χ504-44-444-4-40000000000−2222−22220000000000−22220000002-22-2000000000000000
χ514-44-4-4-4440400-4-44000000000000000000000000022−22−2222000000000000000
χ524-44-4-4-4440400-4-440000000000000000000000000−222222−22000000000000000
χ534-44-4-4-4440-40044-40004-4-440000000000000000000000000000000000000
χ544-44-4-4-4440-40044-4000-444-40000000000000000000000000000000000000
χ554-4-44-444-404004-4-4000000000000000000000000000000000000022−2200000
χ564-4-44-444-404004-4-40000000000000000000000000000000000000−222200000
χ574-4-44-444-40-400-444000000000004i−4i0000000000000000000000000000000
χ584-4-44-444-40-400-44400000000000−4i4i0000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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