Finite Group Databasebeta

← Group #340970

Character table — Group #340970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-11-11
χ3111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-111-11-1
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1111-1-111-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-1111-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1
χ11111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1111-111-1-1-1-1-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-111-1-11-1-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11111111-1-11-1-1
χ17222222222-2-2222-2-2-2-20000220022-2-2-2-200000022000000-2000000000000
χ18222222222-2-2222-2-2-2-200002200-2-2-2-222000000-2-20000002000000000000
χ19222222222-2-2222-2-2-2-20000-2-200222222000000-2-2000000-2000000000000
χ20222222222-2-2222-2-2-2-20000-2-200-2-222-2-2000000220000002000000000000
χ2122222222-222-2-2-222-2-222220022000000-2-20000000000-22000-2000000000
χ2222222222-222-2-2-222-2-2222200-2-2000000-2-200000000002-20002000000000
χ2322222222-222-2-2-222-2-2-2-2-2-20022000000220000000000-2-20002000000000
χ2422222222-222-2-2-222-2-2-2-2-2-200-2-200000022000000000022000-2000000000
χ252-22-22-22-2200-2-220000i2i2−i2−i200002-22i−2i2i−2ii2−i222−2−20022−2−200000000i2−i200000
χ262-22-22-22-2200-2-220000i2i2−i2−i200002-2−2i2i−2i2ii2−i2−2−22200−2−22200000000i2−i200000
χ272-22-22-22-2200-2-220000i2i2−i2−i20000-222i−2i−2i2ii2−i222−2−200−2−22200000000−i2i200000
χ282-22-22-22-2200-2-220000i2i2−i2−i20000-22−2i2i2i−2ii2−i2−2−2220022−2−200000000−i2i200000
χ292-22-22-22-2200-2-220000−i2−i2i2i200002-22i−2i2i−2i−i2i2−2−22200−2−22200000000−i2i200000
χ302-22-22-22-2200-2-220000−i2−i2i2i200002-2−2i2i−2i2i−i2i222−2−20022−2−200000000−i2i200000
χ312-22-22-22-2200-2-220000−i2−i2i2i20000-222i−2i−2i2i−i2i2−2−2220022−2−200000000i2−i200000
χ322-22-22-22-2200-2-220000−i2−i2i2i20000-22−2i2i2i−2i−i2i222−2−200−2−22200000000i2−i200000
χ332-2-2-222-22-2222-22-2-2-2200000000000000002i−2i2i−2i0000000002-202i−2i0000000
χ342-2-2-222-22-2222-22-2-2-2200000000000000002i−2i2i−2i000000000-220−2i2i0000000
χ352-2-2-222-22-2222-22-2-2-220000000000000000−2i2i−2i2i0000000002-20−2i2i0000000
χ362-2-2-222-22-2222-22-2-2-220000000000000000−2i2i−2i2i000000000-2202i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-444-4-4-44004-4-4000000004-400000000000000000000000000000000000
χ3944-444-4-4-44004-4-400000000-4400000000000000000000000000000000000
χ4044-444-4-4-4-400-444000000000000000000002i2−2i2−2i22i2000000000000000000000
χ4144-444-4-4-4-400-44400000000000000000000−2i22i22i2−2i2000000000000000000000
χ4244-4-4-4-44404-40004-40000000000000000000000002i2−2i22i2−2i2000000000000000
χ4344-4-4-4-44404-40004-4000000000000000000000000−2i22i2−2i22i2000000000000000
χ4444-4-4-4-4440-44000-44004i−4i4i−4i0000000000000000000000000000000000000
χ4544-4-4-4-4440-44000-4400−4i4i−4i4i0000000000000000000000000000000000000
χ464-444-4-4-4404-4000-44000000004i−4i000000000000000000000000000000000
χ474-444-4-4-4404-4000-4400000000−4i4i000000000000000000000000000000000
χ484-444-4-4-440-440004-4000000000000000000000000000000000000002i2−2i2000
χ494-444-4-4-440-440004-400000000000000000000000000000000000000−2i22i2000
χ504-44-44-44-4-40044-400002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ514-44-44-44-4-40044-40000−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ524-4-44-444-4000000000022−22−222200000000000000002i2−2i22i−2i−2i2i000000000000000
χ534-4-44-444-4000000000022−22−22220000000000000000−2i22i2−2i2i2i−2i000000000000000
χ544-4-44-444-40000000000−222222−2200000000000000002i2−2i2−2i2i2i−2i000000000000000
χ554-4-44-444-40000000000−222222−220000000000000000−2i22i22i−2i−2i2i000000000000000
χ564-4-4-444-44444-44-4-4-44-400000000000000000000000000000000000000000
χ574-4-4-444-444-4-4-44-444-4400000000000000000000000000000000000000000
χ584-4-4-444-44-4-4-44-44444-400000000000000000000000000000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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