Finite Group Databasebeta

← Group #337153

Character table — Group #337153

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-111
χ11111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-1-1-11111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-11-1
χ172222222222-2-2-222-2-2-22222000022000000-2-200000000-202-200000000000
χ182222222222-2-2-222-2-2-222220000-2-2000000-2-20000000020-2200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000220000002200000000-20-2200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-20000002200000000202-200000000000
χ2122222222-2-2222-2-22-2-2000022-2-2002222-2-200000000000-20000000000000
χ2222222222-2-2222-2-22-2-2000022-2-200-2-2-2-2220000000000020000000000000
χ2322222222-2-2222-2-22-2-20000-2-2220022-2-22200000000000-20000000000000
χ2422222222-2-2222-2-22-2-20000-2-22200-2-222-2-20000000000020000000000000
χ252-22-222-2-2-2-2-22222-22-200000000000000000022-2-2000000002i−2i00002i−2i000
χ262-22-222-2-2-2-2-22222-22-200000000000000000022-2-200000000−2i2i0000−2i2i000
χ272-22-222-2-2-2-2-22222-22-2000000000000000000-2-222000000002i−2i0000−2i2i000
χ282-22-222-2-2-2-2-22222-22-2000000000000000000-2-22200000000−2i2i00002i−2i000
χ292-2-2-22-22200-22-20020022−2−22-200002-22-2002−22−22−222−2−20000002−20000000
χ302-2-2-22-22200-22-20020022−2−22-20000-22-22002−22−22−2−2−222000000−220000000
χ312-2-2-22-22200-22-20020022−2−2-2200002-2-22002−2−22−22−2−2220000002−20000000
χ322-2-2-22-22200-22-20020022−2−2-220000-222-2002−2−22−2222−2−2000000−220000000
χ332-2-2-22-22200-22-200200−2−2222-200002-22-200−22−22−22−2−222000000−220000000
χ342-2-2-22-22200-22-200200−2−2222-20000-22-2200−22−22−2222−2−20000002−20000000
χ352-2-2-22-22200-22-200200−2−222-2200002-2-2200−222−22−222−2−2000000−220000000
χ362-2-2-22-22200-22-200200−2−222-220000-222-200−222−22−2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-444-4-4-40044-400-40000000000000000000022−22−22220000000000000000000
χ3944-444-4-4-40044-400-400000000000000000000−222222−220000000000000000000
χ4044-444-4-4-400-4-44004000000004i−4i000000000000000000000000000000000
χ4144-444-4-4-400-4-4400400000000−4i4i000000000000000000000000000000000
χ4244-4-4-44-444-40004-4000000000000000000000000022−2222−22000000000000000
χ4344-4-4-44-444-40004-40000000000000000000000000−2222−2222000000000000000
χ4444-4-4-44-44-44000-440004-44-40000000000000000000000000000000000000
χ4544-4-4-44-44-44000-44000-44-440000000000000000000000000000000000000
χ464-444-4-4-44000000000022−22−2222000000000022−220000002-2-22000000000000000
χ474-444-4-4-44000000000022−22−22220000000000−2222000000-222-2000000000000000
χ484-444-4-4-440000000000−222222−22000000000022−22000000-222-2000000000000000
χ494-444-4-4-440000000000−222222−220000000000−22220000002-2-22000000000000000
χ504-44-444-4-4444-4-4-4-444-400000000000000000000000000000000000000000
χ514-44-444-4-444-444-4-4-4-4400000000000000000000000000000000000000000
χ524-44-444-4-4-4-44-4-4444-4400000000000000000000000000000000000000000
χ534-4-44-444-44-4000-4400000000000000000000000000000000000002i2−2i200000
χ544-4-44-444-44-4000-440000000000000000000000000000000000000−2i22i200000
χ554-4-44-444-4-440004-4000000000004i−4i0000000000000000000000000000000
χ564-4-44-444-4-440004-400000000000−4i4i0000000000000000000000000000000
χ574-4-4-44-444004-4400-4002222−22−22000000000000−222200000000000000000000000
χ584-4-4-44-444004-4400-400−22−22222200000000000022−2200000000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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