Finite Group Databasebeta

← Group #286855

Character table — Group #286855

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11-1-11-1-111-11
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-11
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-111-1-1-1111-1
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-11-1-11-1-1111-1
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11
χ17222222222-2222222-2-22-2-2-222-2-2-200000000000022-2-20000-2-22200000000000000
χ18222222222-2222222-2-22-2-2-222-2-2-2000000000000-2-222000022-2-200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-222200000000000022220000-2-2-2-200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-2222000000000000-2-2-2-20000222200000000000000
χ2122222222-222222-2-222-22-2-2-2-222-2000000000000000000000000002-2200-2000000
χ2222222222-222222-2-222-22-2-2-2-222-200000000000000000000000000-22-2002000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-22000000000000000000000000002-2-2002000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-2200000000000000000000000000-22200-2000000
χ2522222222-2-22222-2-2-2-2-2-222-2-2-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ2622222222-2-22222-2-2-2-2-2-222-2-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ29222-2-2-22-22-200002-22-2-222-20000000002i2i−2i−2i2-22-2000000000000000002i−2i0000000
χ30222-2-2-22-22-200002-22-2-222-20000000002i2i−2i−2i-22-2200000000000000000−2i2i0000000
χ31222-2-2-22-22-200002-22-2-222-2000000000−2i−2i2i2i2-22-200000000000000000−2i2i0000000
χ32222-2-2-22-22-200002-22-2-222-2000000000−2i−2i2i2i-22-22000000000000000002i−2i0000000
χ33222-2-2-22-2-220000-22-222-22-2000002i2i−2i−2i00002i−2i−2i2i0000000000002-2000000000000
χ34222-2-2-22-2-220000-22-222-22-2000002i2i−2i−2i0000−2i2i2i−2i000000000000-22000000000000
χ35222-2-2-22-2-220000-22-222-22-200000−2i−2i2i2i00002i−2i−2i2i000000000000-22000000000000
χ36222-2-2-22-2-220000-22-222-22-200000−2i−2i2i2i0000−2i2i2i−2i0000000000002-2000000000000
χ3722-222-2-2-2-202i2i−2i−2i2200-20002i−2i0002−22−2i2−i2i2−i200002-2000000002i−2i000000002−2i2−i200
χ3822-222-2-2-2-202i2i−2i−2i2200-20002i−2i0002−22−2i2−i2i2−i20000-2200000000−2i2i00000000−22−i2i200
χ3922-222-2-2-2-202i2i−2i−2i2200-20002i−2i000−22−22−i2i2−i2i200002-2000000002i−2i00000000−22−i2i200
χ4022-222-2-2-2-202i2i−2i−2i2200-20002i−2i000−22−22−i2i2−i2i20000-2200000000−2i2i000000002−2i2−i200
χ4122-222-2-2-2-20−2i−2i2i2i2200-2000−2i2i0002−22−2−i2i2−i2i200002-200000000−2i2i000000002−2−i2i200
χ4222-222-2-2-2-20−2i−2i2i2i2200-2000−2i2i0002−22−2−i2i2−i2i20000-22000000002i−2i00000000−22i2−i200
χ4322-222-2-2-2-20−2i−2i2i2i2200-2000−2i2i000−22−22i2−i2i2−i200002-200000000−2i2i00000000−22i2−i200
χ4422-222-2-2-2-20−2i−2i2i2i2200-2000−2i2i000−22−22i2−i2i2−i20000-22000000002i−2i000000002−2−i2i200
χ45444-4-4-44-44400004-4-44-4-4-440000000000000000000000000000000000000000000
χ46444-4-4-44-4-4-40000-444-444-440000000000000000000000000000000000000000000
χ4744-444-4-4-4404i4i−4i−4i-4-4004000−4i4i00000000000000000000000000000000000000000
χ4844-444-4-4-440−4i−4i4i4i-4-40040004i−4i00000000000000000000000000000000000000000
χ4944-4-4-44-44400000-4400-4000000002i2−2i2−2i22i20000000000000000000000000000000000
χ5044-4-4-44-44400000-4400-400000000−2i22i22i2−2i20000000000000000000000000000000000
χ5144-4-4-44-44-4000004-400400000000000022−22−2222000000000000000000000000000000
χ5244-4-4-44-44-4000004-4004000000000000−222222−22000000000000000000000000000000
χ534-444-44-4-4004i−4i4i−4i0000000000000000000000000002i2−2i2000022−220000000000000000
χ544-444-44-4-4004i−4i4i−4i000000000000000000000000000−2i22i20000−22220000000000000000
χ554-444-44-4-400−4i4i−4i4i0000000000000000000000000002i2−2i20000−22220000000000000000
χ564-444-44-4-400−4i4i−4i4i000000000000000000000000000−2i22i2000022−220000000000000000
χ574-4-44-4-444044-4-4400-4-40400004-4000000000000000000000000000000000000000
χ584-4-44-4-44404-444-400-4-4040000-44000000000000000000000000000000000000000
χ594-4-44-4-4440-44-4-4400440-40000-44000000000000000000000000000000000000000
χ604-4-44-4-4440-4-444-400440-400004-4000000000000000000000000000000000000000
χ614-4-4-4444-4040000004-40-4000000000000000000000002i2−2i22i2−2i2000000000000000000
χ624-4-4-4444-4040000004-40-400000000000000000000000−2i22i2−2i22i2000000000000000000
χ634-4-4-4444-40-4000000-44040000000000000000000000022−22−2222000000000000000000
χ644-4-4-4444-40-4000000-440400000000000000000000000−222222−22000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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