Finite Group Databasebeta

← Group #336159

Character table — Group #336159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-111-1-111-1-111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1111111-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-111-111-1-1-1-111-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-11-1-111-1-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-11111-11-1
χ172222222222-2-2-222-2-2-222222200000000-2-2000000000020-2-200000000000
χ182222222222-2-2-222-2-2-22222-2-200000000-2-20000000000-202200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-22200000000220000000000-20-2200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-200000000220000000000202-200000000000
χ2122222222-2-2222-2-22-2-200000022-2-22222000000-2-200000-20000000000000
χ2222222222-2-2222-2-22-2-200000022-2-2-2-2-2-2000000220000020000000000000
χ2322222222-2-2222-2-22-2-2000000-2-22222-2-20000002200000-20000000000000
χ2422222222-2-2222-2-22-2-2000000-2-222-2-222000000-2-20000020000000000000
χ2522-2-2-2-22200-2-220020022−2−200002-22-2002−222−2−22-222−2−2000000002−200000
χ2622-2-2-2-22200-2-220020022−2−200002-2-22002−222−2−2-22−2−22200000000−2200000
χ2722-2-2-2-22200-2-220020022−2−20000-222-2002−2−2−222-22−2−222000000002−200000
χ2822-2-2-2-22200-2-220020022−2−20000-22-22002−2−2−2222-222−2−200000000−2200000
χ2922-2-2-2-22200-2-2200200−2−22200002-22-200−22−2−2222-2−2−22200000000−2200000
χ3022-2-2-2-22200-2-2200200−2−22200002-2-2200−22−2−222-2222−2−2000000002−200000
χ3122-2-2-2-22200-2-2200200−2−2220000-222-200−2222−2−2-2222−2−200000000−2200000
χ3222-2-2-2-22200-2-2200200−2−2220000-22-2200−2222−2−22-2−2−222000000002−200000
χ332-2-22-222-222-22-2-2-22-2200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ342-2-22-222-222-22-2-2-22-2200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ352-2-22-222-222-22-2-2-22-220000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ362-2-22-222-222-22-2-2-22-220000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-40004-400000004-400000000000000000000000000000000000
χ394444-4-4-4-44-40004-40000000-4400000000000000000000000000000000000
χ404444-4-4-4-4-44000-440000000000000000000000000000000000022−220000000
χ414444-4-4-4-4-44000-4400000000000000000000000000000000000−22220000000
χ4244-4-4-4-4440044-400-4002222−22−220000000000−22220000000000000000000000000
χ4344-4-4-4-4440044-400-400−22−222222000000000022−220000000000000000000000000
χ444-44-44-44-4004-4-40040000000000000000002i2−2i2−2i22i2000000000000000000000
χ454-44-44-44-4004-4-4004000000000000000000−2i22i22i2−2i2000000000000000000000
χ464-44-44-44-400-44400-4000000004i−4i000000000000000000000000000000000
χ474-44-44-44-400-44400-400000000−4i4i000000000000000000000000000000000
χ484-44-4-44-44000000000022−2222−220000000022−22000000002-22-2000000000000000
χ494-44-4-44-44000000000022−2222−2200000000−222200000000-22-22000000000000000
χ504-44-4-44-440000000000−2222−22220000000022−2200000000-22-22000000000000000
χ514-44-4-44-440000000000−2222−222200000000−2222000000002-22-2000000000000000
χ524-4-444-4-444-4000-44000000000000000000000000022−22−2222000000000000000
χ534-4-444-4-444-4000-440000000000000000000000000−222222−22000000000000000
χ544-4-444-4-44-440004-40004-4-440000000000000000000000000000000000000
χ554-4-444-4-44-440004-4000-444-40000000000000000000000000000000000000
χ564-4-44-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ574-4-44-444-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ584-4-44-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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