Finite Group Databasebeta

← Group #259160

Character table — Group #259160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ511111111111111111111111-1-1-1-111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-11-1-1111111111111-111-1-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-111-1-111-1-1-111111111-1-1-1-1-1-1-111-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1111-11-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1111-11-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-111-1-1-11111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-111-1-1-1111111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1
χ172222222222-2-2-222-22222-2-2-2000022-222000000000000-200-200000000000000
χ182222222222-2-2-222-22222-2-2-20000-2-2-2-2-2000000000000200200000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-220000222-2-2000000000000200-200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-220000-2-2222000000000000-200200000000000000
χ2122222222-2-2222-2-2222-2-2-2-2-222-2-2002000000000000000000-22000000000000
χ2222222222-2-2222-2-2222-2-2-2-2-2-2-2220020000000000000000002-2000000000000
χ2322222222-2-2222-2-22-2-222-2-22222200-2000000000000000000-2-2000000000000
χ2422222222-2-2222-2-22-2-222-2-22-2-2-2-200-200000000000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2222000000-20022-2-20000000002-2000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2222000000-200-2-222000000000-22000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-200000020022-2-2000000000-22000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2000000200-2-2220000000002-2000000000000000
χ29222-2-22-2-2222-2-2-2-2200002-200000000002i−2i2i−2i000022-2-2000000002i−2i00000000
χ30222-2-22-2-2222-2-2-2-2200002-200000000002i−2i2i−2i0000-2-22200000000−2i2i00000000
χ31222-2-22-2-2222-2-2-2-2200002-20000000000−2i2i−2i2i000022-2-200000000−2i2i00000000
χ32222-2-22-2-2222-2-2-2-2200002-20000000000−2i2i−2i2i0000-2-222000000002i−2i00000000
χ33222-2-22-2-2-2-2-22222-200002-200000000002i−2i−2i2i2i2i−2i−2i00000000002-20000000000
χ34222-2-22-2-2-2-2-22222-200002-200000000002i−2i−2i2i−2i−2i2i2i0000000000-220000000000
χ35222-2-22-2-2-2-2-22222-200002-20000000000−2i2i2i−2i2i2i−2i−2i0000000000-220000000000
χ36222-2-22-2-2-2-2-22222-200002-20000000000−2i2i2i−2i−2i−2i2i2i00000000002-20000000000
χ3722-22-2-22-22-20002-202i−2i2i−2i00000002-202i−2i00002−22−2i2−i2i2−i2000000000000002−2i2−i2
χ3822-22-2-22-22-20002-202i−2i2i−2i00000002-202i−2i0000−22−22−i2i2−i2i200000000000000−22−i2i2
χ3922-22-2-22-22-20002-202i−2i2i−2i0000000-220−2i2i00002−22−2i2−i2i2−i200000000000000−22−i2i2
χ4022-22-2-22-22-20002-202i−2i2i−2i0000000-220−2i2i0000−22−22−i2i2−i2i2000000000000002−2i2−i2
χ4122-22-2-22-22-20002-20−2i2i−2i2i00000002-20−2i2i00002−22−2−i2i2−i2i2000000000000002−2−i2i2
χ4222-22-2-22-22-20002-20−2i2i−2i2i00000002-20−2i2i0000−22−22i2−i2i2−i200000000000000−22i2−i2
χ4322-22-2-22-22-20002-20−2i2i−2i2i0000000-2202i−2i00002−22−2−i2i2−i2i200000000000000−22i2−i2
χ4422-22-2-22-22-20002-20−2i2i−2i2i0000000-2202i−2i0000−22−22i2−i2i2−i2000000000000002−2−i2i2
χ45444-4-44-4-444-444-4-4-40000-440000000000000000000000000000000000000000
χ46444-4-44-4-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ4744-44-4-44-4-44000-4404i−4i−4i4i000000000000000000000000000000000000000000
χ4844-44-4-44-4-44000-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4944-4-44-4-444-4000-4400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-4-44-4-444-4000-440000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-44-4-44-440004-40000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-4-44-4-44-440004-4000000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-4-44-44-440044-400-4000000000000000000000000000000000000002i2−2i2000000
χ544-4-44-44-440044-400-400000000000000000000000000000000000000−2i22i2000000
χ554-4-44-44-4400-4-44004000000000000000000000000000000000000000022−220000
χ564-4-44-44-4400-4-440040000000000000000000000000000000000000000−22220000
χ574-4-4-4444-4004-4400-40000000004i−4i00000000000000000000000000000000000
χ584-4-4-4444-4004-4400-4000000000−4i4i00000000000000000000000000000000000
χ594-4-4-4444-400-44-400400000004-40000000000000000000000000000000000000
χ604-4-4-4444-400-44-40040000000-440000000000000000000000000000000000000
χ618-8888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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