Finite Group Databasebeta

← Group #288348

Character table — Group #288348

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888822444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-11
χ10111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-1111-1
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-11-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1111111-1-11-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11111-1-111-11
χ17222222222-2-22-222-2-2-2222222220000000000-2-2000000000000-2-20000000000
χ18222222222-2-22-222-2-2-22222-2-2-2-20000000000-2-2000000000000220000000000
χ19222222222-2-22-222-2-2-2-2-2-2-222-2-20000000000220000000000002-20000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2-2-222000000000022000000000000-220000000000
χ2122222222-222-22-2-22-2-20000000022-2-222-2-222000000-2-2000000000000000000
χ2222222222-222-22-2-22-2-20000000022-2-2-2-222-2-200000022000000000000000000
χ2322222222-222-22-2-22-2-200000000-2-22222-2-2-2-200000022000000000000000000
χ2422222222-222-22-2-22-2-200000000-2-222-2-22222000000-2-2000000000000000000
χ252222-2-2-2-2-200-20220002i2i−2i−2i2-22i−2i000000002−20000002−2i2i2−i2−i2000000002−2i2−i200
χ262222-2-2-2-2-200-20220002i2i−2i−2i2-22i−2i00000000−22000000−22−i2−i2i2i200000000−22−i2i200
χ272222-2-2-2-2-200-20220002i2i−2i−2i-22−2i2i000000002−20000002−2i2i2−i2−i200000000−22−i2i200
χ282222-2-2-2-2-200-20220002i2i−2i−2i-22−2i2i00000000−22000000−22−i2−i2i2i2000000002−2i2−i200
χ292222-2-2-2-2-200-2022000−2i−2i2i2i2-2−2i2i000000002−20000002−2−i2−i2i2i2000000002−2−i2i200
χ302222-2-2-2-2-200-2022000−2i−2i2i2i2-2−2i2i00000000−22000000−22i2i2−i2−i200000000−22i2−i200
χ312222-2-2-2-2-200-2022000−2i−2i2i2i-222i−2i000000002−20000002−2−i2−i2i2i200000000−22i2−i200
χ322222-2-2-2-2-200-2022000−2i−2i2i2i-222i−2i00000000−22000000−22i2i2−i2−i2000000002−2−i2i200
χ3322-2-2-2-222222-2-22-2-2-22000000002i−2i2i−2i000000002i2i−2i−2i002-22-200000000000000
χ3422-2-2-2-222222-2-22-2-2-22000000002i−2i2i−2i00000000−2i−2i2i2i00-22-2200000000000000
χ3522-2-2-2-222222-2-22-2-2-2200000000−2i2i−2i2i000000002i2i−2i−2i00-22-2200000000000000
χ3622-2-2-2-222222-2-22-2-2-2200000000−2i2i−2i2i00000000−2i−2i2i2i002-22-200000000000000
χ3722-2-2-2-222-2222-2-22-22-22-22-200002i−2i−2i2i0000002-200000000000000002i−2i000000
χ3822-2-2-2-222-2222-2-22-22-22-22-20000−2i2i2i−2i0000002-20000000000000000−2i2i000000
χ3922-2-2-2-222-2222-2-22-22-2-22-2200002i−2i−2i2i000000-220000000000000000−2i2i000000
χ4022-2-2-2-222-2222-2-22-22-2-22-220000−2i2i2i−2i000000-2200000000000000002i−2i000000
χ4122-2-2-2-222-2-2-222-222-222-22-200000000000000-2200000000002-2002-200000000
χ4222-2-2-2-222-2-2-222-222-222-22-200000000000000-220000000000-2200-2200000000
χ4322-2-2-2-222-2-2-222-222-22-22-22000000000000002-200000000002-200-2200000000
χ4422-2-2-2-222-2-2-222-222-22-22-22000000000000002-20000000000-22002-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-440040-4-4000000000000000000022−22000000−2222000000000000000000
χ474444-4-4-4-440040-4-40000000000000000000−222200000022−22000000000000000000
χ4844-4-444-4-4400-40-440004i−4i−4i4i0000000000000000000000000000000000000000
χ4944-4-444-4-4400-40-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ5044-4-444-4-4-400404-4000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5144-4-444-4-4-400404-400000000000000000000000000000−2i22i22i2−2i200000000000000
χ5244-4-4-4-4444-4-4-444-444-400000000000000000000000000000000000000000000
χ534-44-44-44-404-40400-400000000000000004i−4i0000000000000000000000000000
χ544-44-44-44-404-40400-40000000000000000−4i4i0000000000000000000000000000
χ554-44-44-44-40-440-4004000000000000000000000022−2222−2200000000000000000000
χ564-44-44-44-40-440-40040000000000000000000000−2222−222200000000000000000000
χ574-4-44-444-404-40-4004000000000000004-4000000000000000000000000000000
χ584-4-44-444-404-40-400400000000000000-44000000000000000000000000000000
χ594-4-44-444-40-440400-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-4-44-444-40-440400-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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