Finite Group Databasebeta

← Group #340329

Character table — Group #340329

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ3111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111-11
χ51111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111-111-1-11-1-11111-1-1-1
χ71111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-1-1111-1-1
χ11111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-11111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-11-1-111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-111-1-11
χ172222222222-2-22-22-2-2-20000220022-2-222000000-2-20000-200000000000000
χ182222222222-2-22-22-2-2-200002200-2-222-2-2000000220000-200000000000000
χ192222222222-2-22-22-2-2-20000-2-20022-2-2-2-2000000220000200000000000000
χ202222222222-2-22-22-2-2-20000-2-200-2-22222000000-2-20000200000000000000
χ2122222222-2-222-22-22-2-222220022000000-2-200000000000-2200-2000000000
χ2222222222-2-222-22-22-2-2222200-2-2000000-2-2000000000002-2002000000000
χ2322222222-2-222-22-22-2-2-2-2-2-200220000002200000000000-2-2002000000000
χ2422222222-2-222-22-22-2-2-2-2-2-200-2-200000022000000000002200-2000000000
χ25222-22-2-2-22-20020-200022−2−22-2002-2002-22−222−2−20022−2−20000002−20000000
χ26222-22-2-2-22-20020-200022−2−22-200-2200-222−2−2−22200−2−2220000002−20000000
χ27222-22-2-2-22-20020-200022−2−2-22002-200-222−222−2−200−2−222000000−220000000
χ28222-22-2-2-22-20020-200022−2−2-2200-22002-22−2−2−2220022−2−2000000−220000000
χ29222-22-2-2-22-20020-2000−2−2222-2002-2002-2−22−2−22200−2−222000000−220000000
χ30222-22-2-2-22-20020-2000−2−2222-200-2200-22−2222−2−20022−2−2000000−220000000
χ31222-22-2-2-22-20020-2000−2−222-22002-200-22−22−2−2220022−2−20000002−20000000
χ32222-22-2-2-22-20020-2000−2−222-2200-22002-2−2222−2−200−2−2220000002−20000000
χ332-2-2-22-222-2-2-2-222222-200000000000000002-22-20000000002-2000002-2000
χ342-2-2-22-222-2-2-2-222222-200000000000000002-22-2000000000-2200000-22000
χ352-2-2-22-222-2-2-2-222222-20000000000000000-22-220000000002-200000-22000
χ362-2-2-22-222-2-2-2-222222-20000000000000000-22-22000000000-22000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4-4400-4040002222−22−220000000000−22220000000000000000000000000
χ39444-44-4-4-4-4400-404000−22−222222000000000022−220000000000000000000000000
χ4044-44-4-4-44004-4040-400000000000000000000000022−2222−22000000000000000
χ4144-44-4-4-44004-4040-4000000000000000000000000−2222−2222000000000000000
χ4244-44-4-4-4400-440-404004i−4i4i−4i0000000000000000000000000000000000000
χ4344-44-4-4-4400-440-40400−4i4i−4i4i0000000000000000000000000000000000000
χ4444-4-4-444-400000000002i2−2i2−2i22i200000000000000002i2−2i22-2-22000000000000000
χ4544-4-4-444-400000000002i2−2i2−2i22i20000000000000000−2i22i2-222-2000000000000000
χ4644-4-4-444-40000000000−2i22i22i2−2i200000000000000002i2−2i2-222-2000000000000000
χ4744-4-4-444-40000000000−2i22i22i2−2i20000000000000000−2i22i22-2-22000000000000000
χ484-44-4-44-44004-40-40400000000000000000000000000000000000022−2200000
χ494-44-4-44-44004-40-404000000000000000000000000000000000000−222200000
χ504-44-4-44-4400-44040-4000000004i−4i000000000000000000000000000000000
χ514-44-4-44-4400-44040-400000000−4i4i000000000000000000000000000000000
χ524-4-4444-4-44-400-40400000000000004i−4i00000000000000000000000000000
χ534-4-4444-4-44-400-4040000000000000−4i4i00000000000000000000000000000
χ544-4-4444-4-4-440040-4000000000000000000022−22−2222000000000000000000000
χ554-4-4444-4-4-440040-40000000000000000000−222222−22000000000000000000000
χ564-4-4-44-4444444-4-4-4-44-400000000000000000000000000000000000000000
χ574-4-4-44-44444-4-4-44-44-4400000000000000000000000000000000000000000
χ584-4-4-44-444-4-4444-44-4-4400000000000000000000000000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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