Finite Group Databasebeta

← Group #340775

Character table — Group #340775

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888224
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-11-11
χ4111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1
χ51111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-11111-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-11
χ17222222222-2-2222-2-2-2-22222000000220000-2-200000000-22000-2000000000
χ18222222222-2-2222-2-2-2-22222000000-2-20000-2-2000000002-20002000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-200000022000022000000002-2000-2000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2000000-2-200002200000000-220002000000000
χ2122222222-222-2-2-222-2-200002222-2-20000000022-2-200000000-20000000000
χ2222222222-222-2-2-222-2-2000022-2-2-2-200000000-2-2220000000020000000000
χ2322222222-222-2-2-222-2-20000-2-2222200000000-2-22200000000-20000000000
χ2422222222-222-2-2-222-2-20000-2-2-2-2220000000022-2-20000000020000000000
χ2522-2-22-22-2-2222-22-2-2-220000000000002i2i−2i−2i0000000000002-20000002i−2i000
χ2622-2-22-22-2-2222-22-2-2-220000000000002i2i−2i−2i000000000000-22000000−2i2i000
χ2722-2-22-22-2-2222-22-2-2-22000000000000−2i−2i2i2i0000000000002-2000000−2i2i000
χ2822-2-22-22-2-2222-22-2-2-22000000000000−2i−2i2i2i000000000000-220000002i−2i000
χ292-2222-2-2-202-20002-200i2i2−i2−i22-22-20000i2−i2i2−i2i2−i22-200i2i2−i2−i2000000i2−i20000000
χ302-2222-2-2-202-20002-200i2i2−i2−i22-2-220000i2−i2i2−i2i2−i2-2200−i2−i2i2i2000000−i2i20000000
χ312-2222-2-2-202-20002-200i2i2−i2−i2-222-20000−i2i2−i2i2i2−i2-2200−i2−i2i2i2000000i2−i20000000
χ322-2222-2-2-202-20002-200i2i2−i2−i2-22-220000−i2i2−i2i2i2−i22-200i2i2−i2−i2000000−i2i20000000
χ332-2222-2-2-202-20002-200−i2−i2i2i22-22-20000−i2i2−i2i2−i2i22-200−i2−i2i2i2000000−i2i20000000
χ342-2222-2-2-202-20002-200−i2−i2i2i22-2-220000−i2i2−i2i2−i2i2-2200i2i2−i2−i2000000i2−i20000000
χ352-2222-2-2-202-20002-200−i2−i2i2i2-222-20000i2−i2i2−i2−i2i2-2200i2i2−i2−i2000000−i2i20000000
χ362-2222-2-2-202-20002-200−i2−i2i2i2-22-220000i2−i2i2−i2−i2i22-200−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4400-4-4400004i−4i4i−4i0000000000000000000000000000000000000
χ39444-4-44-4-4400-4-440000−4i4i−4i4i0000000000000000000000000000000000000
χ40444-4-44-4-4-40044-4000000000000000000000000002i2−2i22i2−2i2000000000000000
χ41444-4-44-4-4-40044-400000000000000000000000000−2i22i2−2i22i2000000000000000
χ4244-44-4-4-444004-4-4000000000000004i−4i00000000000000000000000000000
χ4344-44-4-4-444004-4-400000000000000−4i4i00000000000000000000000000000
χ4444-44-4-4-44-400-4440000000000000000000000000000000000000022−2200000
χ4544-44-4-4-44-400-44400000000000000000000000000000000000000−222200000
χ4644-4-44-44-4444-44-4-4-44-400000000000000000000000000000000000000000
χ4744-4-44-44-44-4-4-44-444-4400000000000000000000000000000000000000000
χ4844-4-44-44-4-4-4-44-44444-400000000000000000000000000000000000000000
χ494-4444-4-4-40-44000-44002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ504-4444-4-4-40-44000-4400−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ514-44-4-4-444000000000022−22−2222000000000000000022−222-2-22000000000000000
χ524-44-4-4-444000000000022−22−22220000000000000000−2222-222-2000000000000000
χ534-44-4-4-4440000000000−222222−22000000000000000022−22-222-2000000000000000
χ544-44-4-4-4440000000000−222222−220000000000000000−22222-2-22000000000000000
χ554-4-4-444-4404-4000-440000000000000022−22−22220000000000000000000000000
χ564-4-4-444-4404-4000-4400000000000000−222222−220000000000000000000000000
χ574-4-4-444-440-440004-400000000004-40000000000000000000000000000000
χ584-4-4-444-440-440004-40000000000-440000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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