Finite Group Databasebeta

← Group #335976

Character table — Group #335976

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1111-11-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1111-11-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1111-11111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-111-1-1111-1-1
χ17222222222-2-2222-2-2-2-2222222000000-2-2000000000000-2-20020000000000
χ18222222222-2-2222-2-2-2-22222-2-2000000-2-20000000000002200-20000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-222000000220000000000002-200-20000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2-2-200000022000000000000-220020000000000
χ2122222222-222-2-2-222-2-20000002222-2-200000022-2-2000000000-2000000000
χ2222222222-222-2-2-222-2-200000022-2-2-2-2000000-2-2220000000002000000000
χ2322222222-222-2-2-222-2-2000000-2-22222000000-2-222000000000-2000000000
χ2422222222-222-2-2-222-2-2000000-2-2-2-22200000022-2-20000000002000000000
χ2522-2-2-222-202-20002-200i2i2−i2−i2002-22-200i2−i2i2i2−i2−i22-200i2i2−i2−i2000000i2−i20000000
χ2622-2-2-222-202-20002-200i2i2−i2−i2002-2-2200i2−i2i2i2−i2−i2-2200−i2−i2i2i2000000−i2i20000000
χ2722-2-2-222-202-20002-200i2i2−i2−i200-222-200i2−i2−i2−i2i2i2-2200−i2−i2i2i2000000i2−i20000000
χ2822-2-2-222-202-20002-200i2i2−i2−i200-22-2200i2−i2−i2−i2i2i22-200i2i2−i2−i2000000−i2i20000000
χ2922-2-2-222-202-20002-200−i2−i2i2i2002-22-200−i2i2−i2−i2i2i22-200−i2−i2i2i2000000−i2i20000000
χ3022-2-2-222-202-20002-200−i2−i2i2i2002-2-2200−i2i2−i2−i2i2i2-2200i2i2−i2−i2000000i2−i20000000
χ3122-2-2-222-202-20002-200−i2−i2i2i200-222-200−i2i2i2i2−i2−i2-2200i2i2−i2−i2000000−i2i20000000
χ3222-2-2-222-202-20002-200−i2−i2i2i200-22-2200−i2i2i2i2−i2−i22-200−i2−i2i2i2000000i2−i20000000
χ332-22-2-22-22-2222-22-2-2-22000000000000002-22-200000000002i−2i0000002i−2i000
χ342-22-2-22-22-2222-22-2-2-22000000000000002-22-20000000000−2i2i000000−2i2i000
χ352-22-2-22-22-2222-22-2-2-2200000000000000-22-2200000000002i−2i000000−2i2i000
χ362-22-2-22-22-2222-22-2-2-2200000000000000-22-220000000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44004-4-40000000000000000000000000022−2222−22000000000000000
χ394444-4-4-4-44004-4-400000000000000000000000000−2222−2222000000000000000
χ404444-4-4-4-4-400-44400004i−4i4i−4i0000000000000000000000000000000000000
χ414444-4-4-4-4-400-4440000−4i4i−4i4i0000000000000000000000000000000000000
χ4244-4-44-4-44000000000022−22−222200000000000000002i2−2i22i−2i−2i2i000000000000000
χ4344-4-44-4-44000000000022−22−22220000000000000000−2i22i2−2i2i2i−2i000000000000000
χ4444-4-44-4-440000000000−222222−2200000000000000002i2−2i2−2i2i2i−2i000000000000000
χ4544-4-44-4-440000000000−222222−220000000000000000−2i22i22i−2i−2i2i000000000000000
χ4644-4-4-444-40-44000-44002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4744-4-4-444-40-44000-4400−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ484-44-44-44-4400-4-44000000000000000000000000000000000000002i2−2i200000
χ494-44-44-44-4400-4-4400000000000000000000000000000000000000−2i22i200000
χ504-44-44-44-4-40044-4000000004i−4i00000000000000000000000000000000000
χ514-44-44-44-4-40044-400000000−4i4i00000000000000000000000000000000000
χ524-44-4-44-44444-44-4-4-44-400000000000000000000000000000000000000000
χ534-44-4-44-444-4-4-44-444-4400000000000000000000000000000000000000000
χ544-44-4-44-44-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4444-4-404-4000-4400000000000000002i2−2i2−2i22i200000000000000000000000
χ564-4-4444-4-404-4000-440000000000000000−2i22i22i2−2i200000000000000000000000
χ574-4-4444-4-40-440004-40000000000004i−4i00000000000000000000000000000
χ584-4-4444-4-40-440004-4000000000000−4i4i00000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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