Finite Group Databasebeta

← Group #341142

Character table — Group #341142

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1111-1-1
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-1-111-111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1111-11-1-1-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-111-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1111-1111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-11-1-1-1-111111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-11-11111-1-1-11-1
χ172222222222-2-2-222-2-2-222220000220000-2-20000000000200-2-20000000000
χ182222222222-2-2-222-2-2-222220000-2-20000-2-20000000000-200220000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000220000220000000000-200-220000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-200002200000000002002-20000000000
χ2122222222-2-2222-2-22-2-2000022-2-2002222000000-2-2000000000-2000000000
χ2222222222-2-2222-2-22-2-2000022-2-200-2-2-2-2000000220000000002000000000
χ2322222222-2-2222-2-22-2-20000-2-2220022-2-200000022000000000-2000000000
χ2422222222-2-2222-2-22-2-20000-2-22200-2-222000000-2-20000000002000000000
χ2522-2-222-2-200-2-220020022−2−22-200002i−2i2i−2i2−222−2−200i2i2−i2−i200000000i2−i200000
χ2622-2-222-2-200-2-220020022−2−22-20000−2i2i−2i2i2−222−2−200−i2−i2i2i200000000−i2i200000
χ2722-2-222-2-200-2-220020022−2−2-2200002i−2i−2i2i2−2−2−22200−i2−i2i2i200000000i2−i200000
χ2822-2-222-2-200-2-220020022−2−2-220000−2i2i2i−2i2−2−2−22200i2i2−i2−i200000000−i2i200000
χ2922-2-222-2-200-2-2200200−2−2222-200002i−2i2i−2i−22−2−22200−i2−i2i2i200000000−i2i200000
χ3022-2-222-2-200-2-2200200−2−2222-20000−2i2i−2i2i−22−2−22200i2i2−i2−i200000000i2−i200000
χ3122-2-222-2-200-2-2200200−2−222-2200002i−2i−2i2i−2222−2−200i2i2−i2−i200000000−i2i200000
χ3222-2-222-2-200-2-2200200−2−222-220000−2i2i2i−2i−2222−2−200−i2−i2i2i200000000i2−i200000
χ332-22-22-2-2222-22-2-2-22-2200000000000000002i−2i2i−2i00000002-20002i−2i0000000
χ342-22-22-2-2222-22-2-2-22-2200000000000000002i−2i2i−2i0000000-22000−2i2i0000000
χ352-22-22-2-2222-22-2-2-22-220000000000000000−2i2i−2i2i00000002-2000−2i2i0000000
χ362-22-22-2-2222-22-2-2-22-220000000000000000−2i2i−2i2i0000000-220002i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-40004-4000000000000000000000000022−2222−22000000000000000
χ394444-4-4-4-44-40004-40000000000000000000000000−2222−2222000000000000000
χ404444-4-4-4-4-44000-440004-44-40000000000000000000000000000000000000
χ414444-4-4-4-4-44000-44000-44-440000000000000000000000000000000000000
χ4244-4-444-4-40044-400-4002222−22−220000000000−22220000000000000000000000000
χ4344-4-444-4-40044-400-400−22−222222000000000022−220000000000000000000000000
χ4444-4-4-4-444000000000022−22−222200000000000000002i2−2i22i−2i−2i2i000000000000000
χ4544-4-4-4-444000000000022−22−22220000000000000000−2i22i2−2i2i2i−2i000000000000000
χ4644-4-4-4-4440000000000−222222−2200000000000000002i2−2i2−2i2i2i−2i000000000000000
χ4744-4-4-4-4440000000000−222222−220000000000000000−2i22i22i−2i−2i2i000000000000000
χ484-44-44-4-44444-44-4-4-44-400000000000000000000000000000000000000000
χ494-44-44-4-44-4-44-4444-4-4400000000000000000000000000000000000000000
χ504-44-44-4-44-4-4-44-44444-400000000000000000000000000000000000000000
χ514-44-4-444-44-4000-44000000000004i−4i0000000000000000000000000000000
χ524-44-4-444-44-4000-4400000000000−4i4i0000000000000000000000000000000
χ534-44-4-444-4-440004-40000000000000000000000000000000000000002i2−2i2000
χ544-44-4-444-4-440004-4000000000000000000000000000000000000000−2i22i2000
χ554-4-444-44-4004-4-40040000000000000000002i2−2i2−2i22i2000000000000000000000
χ564-4-444-44-4004-4-4004000000000000000000−2i22i22i2−2i2000000000000000000000
χ574-4-444-44-400-44400-4000000004i−4i000000000000000000000000000000000
χ584-4-444-44-400-44400-400000000−4i4i000000000000000000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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