Finite Group Databasebeta

← Group #266250

Character table — Group #266250

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444442222444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-111111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11111
χ101111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1
χ111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111111111-1111111-111-1-1-1-1-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111
χ131111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-111-1-1111111-1-1-1-11-1-1-1-111-111-1-11111-1-1
χ141111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-111-1-111-1-1-1-11111111-1-111-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-1-1-111111111-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ161111111111111111-1-1-1-11-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-11111-1-1-111-1-111111-1-111-1-1
χ172222222222-2-222-2-22222-22222-2-2-2-2-222-20000-2-200000000000000000000000000
χ182222222222-2-222-2-22222-2-2-2-2-222-2-2-2-2-2200002200000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-22222-2-2-222-2-2-200002200000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2-222-2222220000-2-200000000000000000000000000
χ2122222222-2-222-2-2220000-222-2-222-20000-222220000000000-2000000-20000000000
χ2222222222-2-222-2-2220000-222-2-222-20000-2-2-2-2-20000000000200000020000000000
χ2322222222-2-222-2-2220000-2-2-222-2-2-20000222-2-20000000000-200000020000000000
χ2422222222-2-222-2-2220000-2-2-222-2-2-200002-2-22200000000002000000-20000000000
χ2522222222-2-2-2-2-2-2-2-20000222-2-2-2-2200002000000000000000002-22-200000000000
χ2622222222-2-2-2-2-2-2-2-20000222-2-2-2-220000200000000000000000-22-2200000000000
χ2722222222-2-2-2-2-2-2-2-200002-2-2222220000-2000000000000000002-2-2200000000000
χ2822222222-2-2-2-2-2-2-2-200002-2-2222220000-200000000000000000-222-200000000000
χ292222-2-2-2-22-2222-2-2-222-2-22000000-22-20000000000000000002-2000000000002-200
χ302222-2-2-2-22-2222-2-2-222-2-22000000-22-2000000000000000000-2200000000000-2200
χ312222-2-2-2-22-2222-2-2-2-2-2222000000-2-220000000000000000002-200000000000-2200
χ322222-2-2-2-22-2222-2-2-2-2-2222000000-2-22000000000000000000-22000000000002-200
χ332222-2-2-2-22-2-2-22-22222-2-2-20000002-2200000000000000000000000002i−2i0000002i−2i
χ342222-2-2-2-22-2-2-22-22222-2-2-20000002-220000000000000000000000000−2i2i000000−2i2i
χ352222-2-2-2-22-2-2-22-222-2-222-200000022-200000000000000000000000002i−2i000000−2i2i
χ362222-2-2-2-22-2-2-22-222-2-222-200000022-20000000000000000000000000−2i2i0000002i−2i
χ3722-2-2-22-222-200-22002-22-202i−2i2i−2i000002i−2i000000022−2−2i2i2−i2−i200000000002−2i2−i20000
χ3822-2-2-22-222-200-22002-22-202i−2i2i−2i000002i−2i0000000−2−222−i2−i2i2i20000000000−22−i2i20000
χ3922-2-2-22-222-200-22002-22-20−2i2i−2i2i00000−2i2i000000022−2−2−i2−i2i2i200000000002−2−i2i20000
χ4022-2-2-22-222-200-22002-22-20−2i2i−2i2i00000−2i2i0000000−2−222i2i2−i2−i20000000000−22i2−i20000
χ4122-2-2-22-222-200-2200-22-2202i−2i2i−2i00000−2i2i000000022−2−2i2i2−i2−i20000000000−22−i2i20000
χ4222-2-2-22-222-200-2200-22-2202i−2i2i−2i00000−2i2i0000000−2−222−i2−i2i2i200000000002−2i2−i20000
χ4322-2-2-22-222-200-2200-22-220−2i2i−2i2i000002i−2i000000022−2−2−i2−i2i2i20000000000−22i2−i20000
χ4422-2-2-22-222-200-2200-22-220−2i2i−2i2i000002i−2i0000000−2−222i2i2−i2−i200000000002−2−i2i20000
χ454444-4-4-4-4-4444-44-4-40000-400000040000000000000000000000000000000000000
χ464444-4-4-4-4-44-4-4-444400004000000-40000000000000000000000000000000000000
χ4744-4-44-44-44400-4-4004-4-44000000000000000000000000000000000000000000000
χ4844-4-44-44-44400-4-400-444-4000000000000000000000000000000000000000000000
χ4944-4-44-44-4-4-40044000000000000000000000004i−4i00000000000000000000000000
χ5044-4-44-44-4-4-4004400000000000000000000000−4i4i00000000000000000000000000
χ5144-4-4-44-44-44004-400000004i−4i−4i4i0000000000000000000000000000000000000000
χ5244-4-4-44-44-44004-40000000−4i4i4i−4i0000000000000000000000000000000000000000
χ534-44-44-4-44004-4004-400000000000000000004i−4i0000000000000000000000000000
χ544-44-44-4-44004-4004-40000000000000000000−4i4i0000000000000000000000000000
χ554-44-44-4-4400-4400-44000000000000000004i−4i000000000000000000000000000000
χ564-44-44-4-4400-4400-4400000000000000000−4i4i000000000000000000000000000000
χ574-44-4-444-4004-400-440000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ584-44-4-444-4004-400-44000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ594-44-4-444-400-44004-4000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ604-44-4-444-400-44004-400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ614-4-4444-4-4000000000000000004i−4i0000000000002i−2i−2i2i2-2-22000000000000000000
χ624-4-4444-4-4000000000000000004i−4i000000000000−2i2i2i−2i-222-2000000000000000000
χ634-4-4444-4-400000000000000000−4i4i0000000000002i−2i−2i2i-222-2000000000000000000
χ644-4-4444-4-400000000000000000−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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