Finite Group Databasebeta

← Group #293339

Character table — Group #293339

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-11111111111-111-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ9111111111111-1-1-1-11-1-111111-1-111-1111111-1-1-1-111-1-1-11-1-11-11-111-1-111-1-1
χ10111111111111-1-1-1-11-1-111111-1-111-111-1-1-1-11111-1-1-1111-1-11-11-1-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-11-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11-11-1111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-11111-1111111-1-1-1-1-1-1-111-11-1-11-1111-1-1-1-111
χ14111111111111-1-1-1-11-1-1111-1-11111-111-1-1-1-1111111-1-1-1-11-1-11-11-1-11111-1-1
χ15111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1111-1-1-1111-11-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1111-11-111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2222200-2000000000000000-2-20000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-200-2000000000000000220000000000000
χ19222222222222-2-2-2-2-222-2-2-222-2-2002000000000000000-220000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-2220020000000000000002-20000000000000
χ2122222222-2-2-2-222-2-2222-2-22000022-2-2-20000000000-200002000000000000
χ2222222222-2-2-2-222-2-2222-2-220000-2-2-222000000000020000-2000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2000000200000000000000000022-2-200000000
χ2422222222-2-2-2-222-2-2-2-2-222-20000002000000000000000000-2-22200000000
χ2522222222-2-2-2-2-2-2222-2-2-2-220000222-2-2000000000020000-2000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-220000-2-22220000000000-200002000000000000
χ2722222222-2-2-2-2-2-222-22222-2000000-20000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-222-22222-2000000-2000000000000000000-222-200000000
χ292222-2-2-2-2-2-2222-22-20000002-22-200000i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2i2−i2
χ302222-2-2-2-2-2-2222-22-20000002-22-200000−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−i2i2
χ312222-2-2-2-2-2-2222-22-2000000-22-2200000i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−i2i2
χ322222-2-2-2-2-2-2222-22-2000000-22-2200000−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2i2−i2
χ332222-2-2-2-2-2-222-22-220000002-2-2200000i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2
χ342222-2-2-2-2-2-222-22-220000002-2-2200000−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2
χ352222-2-2-2-2-2-222-22-22000000-222-200000i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2
χ362222-2-2-2-2-2-222-22-22000000-222-200000−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2
χ372-2-2222-2-22-22-200002002-2-200002i−2i02i−2i00002i−2i2i−2i000000000000002-20000
χ382-2-2222-2-22-22-200002002-2-200002i−2i02i−2i0000−2i2i−2i2i00000000000000-220000
χ392-2-2222-2-22-22-200002002-2-20000−2i2i0−2i2i00002i−2i2i−2i00000000000000-220000
χ402-2-2222-2-22-22-200002002-2-20000−2i2i0−2i2i0000−2i2i−2i2i000000000000002-20000
χ412-2-2222-2-2-22-220000200-22-200002i−2i0−2i2i2i−2i2i−2i00000000000000002-2000000
χ422-2-2222-2-2-22-220000200-22-200002i−2i0−2i2i−2i2i−2i2i0000000000000000-22000000
χ432-2-2222-2-2-22-220000200-22-20000−2i2i02i−2i2i−2i2i−2i0000000000000000-22000000
χ442-2-2222-2-2-22-220000200-22-20000−2i2i02i−2i−2i2i−2i2i00000000000000002-2000000
χ454444-4-4-4-444-4-44-4-440000000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4-444-40000000000000000000000000000000000000000000
χ4744-4-44-44-40000000004i−4i000000000000000000002-202i−2i000000000000000
χ4844-4-44-44-40000000004i−4i00000000000000000000-220−2i2i000000000000000
χ4944-4-44-44-4000000000−4i4i000000000000000000002-20−2i2i000000000000000
χ5044-4-44-44-4000000000−4i4i00000000000000000000-2202i−2i000000000000000
χ514-4-4444-4-44-44-40000-400-4440000000000000000000000000000000000000
χ524-4-4444-4-4-44-440000-4004-440000000000000000000000000000000000000
χ534-4-44-4-4444-4-44000000000000000000022−22−2222000000000000000000000000
χ544-4-44-4-4444-4-440000000000000000000−222222−22000000000000000000000000
χ554-4-44-4-444-444-40000000000000000000000022−22−222200000000000000000000
χ564-4-44-4-444-444-400000000000000000000000−222222−2200000000000000000000
χ5788-8-8-88-88000000000000000000000000000000000000000000000000000
χ588-88-88-8-88000000000000000000000000000000000000000000000000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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