Finite Group Databasebeta

← Group #304484

Character table — Group #304484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-1-1-11-1-1-11-1-11111-1-1-1-1
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1111-1-1-11-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-11-1-1-11-11111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11-1-11111111111111-1-111-1-11-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111111111
χ91111111111111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111-1-1-1-11-1-11-111-1-111-1-1
χ101111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1111-1-11-1-11-1-1-111-1-111
χ111111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-111-11-11-1-1111-1-1-1-111
χ121111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-1-1-11-11-1-11-1-11111-1-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-11111-1-1
χ141111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11-1-1111111-1-1-1-111
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111-11-1-1-1-111-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-11-1-111-1-111-1-1
χ17222222222222-222-2-2-2-2-2-2-20000222-2-2000000000000002000-2000000000
χ18222222222222-222-2-2-2-2-2-2-20000-2-222200000000000000-20002000000000
χ19222222222222-2-2-22222-2-2-2000022-22200000000000000-2000-2000000000
χ20222222222222-2-2-22222-2-2-20000-2-2-2-2-20000000000000020002000000000
χ2122222222-2-2-2-222222-2-2-2-2222-2-200-2000000000000000-200020000000000
χ2222222222-2-2-2-222222-2-2-2-22-2-22200-20000000000000002000-20000000000
χ2322222222-2-2-2-22-2-2-2-222-2-2222-2-20020000000000000002000-20000000000
χ2422222222-2-2-2-22-2-2-2-222-2-22-2-222002000000000000000-200020000000000
χ2522222222-2-2-2-2-222-2-22222-2000000-200000000000020000-2-200200000000
χ2622222222-2-2-2-2-222-2-22222-2000000-2000000000000-200002200-200000000
χ2722222222-2-2-2-2-2-2-222-2-222-2000000200000000000020000-2200-200000000
χ2822222222-2-2-2-2-2-2-222-2-222-20000002000000000000-200002-200200000000
χ292222-2-2-2-22-22-2-20000002-222-22-20000000002i2i−2i−2i000000000000002i−2i0000
χ302222-2-2-2-22-22-2-20000002-222-22-2000000000−2i−2i2i2i00000000000000−2i2i0000
χ312222-2-2-2-22-22-2-20000002-22-22-220000000002i2i−2i−2i00000000000000−2i2i0000
χ322222-2-2-2-22-22-2-20000002-22-22-22000000000−2i−2i2i2i000000000000002i−2i0000
χ332222-2-2-2-2-22-22-2000000-2222-2-22000002i2i−2i−2i00000000000000002i−2i000000
χ342222-2-2-2-2-22-22-2000000-2222-2-2200000−2i−2i2i2i0000000000000000−2i2i000000
χ352222-2-2-2-2-22-22-2000000-222-222-2000002i2i−2i−2i0000000000000000−2i2i000000
χ362222-2-2-2-2-22-22-2000000-222-222-200000−2i−2i2i2i00000000000000002i−2i000000
χ3722-2-222-2-2-222-20002i−2i2i−2i00000002-202i−2i2−22−2i2−i2i2−i200000000000000002−2i2−i2
χ3822-2-222-2-2-222-20002i−2i2i−2i00000002-202i−2i−22−22−i2i2−i2i20000000000000000−22−i2i2
χ3922-2-222-2-2-222-20002i−2i2i−2i0000000-220−2i2i2−22−2i2−i2i2−i20000000000000000−22−i2i2
χ4022-2-222-2-2-222-20002i−2i2i−2i0000000-220−2i2i−22−22−i2i2−i2i200000000000000002−2i2−i2
χ4122-2-222-2-2-222-2000−2i2i−2i2i00000002-20−2i2i2−22−2−i2i2−i2i200000000000000002−2−i2i2
χ4222-2-222-2-2-222-2000−2i2i−2i2i00000002-20−2i2i−22−22i2−i2i2−i20000000000000000−22i2−i2
χ4322-2-222-2-2-222-2000−2i2i−2i2i0000000-2202i−2i2−22−2−i2i2−i2i20000000000000000−22i2−i2
χ4422-2-222-2-2-222-2000−2i2i−2i2i0000000-2202i−2i−22−22i2−i2i2−i200000000000000002−2−i2i2
χ454444-4-4-4-44-44-44000000-44-40000000000000000000000000000000000000
χ464444-4-4-4-4-44-4440000004-4-40000000000000000000000000000000000000
χ4744-4-444-4-44-4-440004i−4i−4i4i0000000000000000000000000000000000000000
χ4844-4-444-4-44-4-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ4944-4-4-4-44444-4-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-4-4-44444-4-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-4-4-444-4-4440000000000000000000000022−22−222200000000000000000000
χ5244-4-4-4-444-4-44400000000000000000000000−222222−2200000000000000000000
χ534-44-44-44-4000004i−4i0000000000000000000000002-202i−2i000000000000000
χ544-44-44-44-4000004i−4i000000000000000000000000-220−2i2i000000000000000
χ554-44-44-44-400000−4i4i0000000000000000000000002-20−2i2i000000000000000
χ564-44-44-44-400000−4i4i000000000000000000000000-2202i−2i000000000000000
χ578-88-8-88-88000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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