Finite Group Databasebeta

← Group #285913

Character table — Group #285913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882224488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111111111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-11111-11111-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-111111-1-1-1-11-1
χ17222222222-2-222-2-22-2-222-2-2220000-222-2-2000000000000000000200-20000000000
χ18222222222-2-222-2-22-2-222-2-2220000-2-2-222000000000000000000-20020000000000
χ19222222222-2-222-2-22-2-2-2-222-2-20000222-2-2000000000000000000-20020000000000
χ20222222222-2-222-2-22-2-2-2-222-2-200002-2-222000000000000000000200-20000000000
χ2122222222-222-2-222-2-2-22222-2-22222-2000022-2-20000-2-20000000000000000000000
χ2222222222-222-2-222-2-2-22222-2-2-2-2-2-2-20000-2-2220000220000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-222222220000-2-2220000-2-20000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-222-2-2-2-22000022-2-20000220000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200002000000000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000200000000000000−2i−2i2i2i000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-222220000-2000000000000002i2i−2i−2i000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-222220000-200000000000000−2i−2i2i2i0000000000002i−2i0000
χ2922-2-2-222-202-2002-20002i−2i2i−2i0022-2-2000002i−2i0022−2−2000000i2i2−i2−i20000002−200i2−i200
χ3022-2-2-222-202-2002-20002i−2i2i−2i0022-2-2000002i−2i00−2−222000000−i2−i2i2i2000000−2200−i2i200
χ3122-2-2-222-202-2002-20002i−2i2i−2i00-2-22200000−2i2i0022−2−2000000i2i2−i2−i2000000−2200−i2i200
χ3222-2-2-222-202-2002-20002i−2i2i−2i00-2-22200000−2i2i00−2−222000000−i2−i2i2i20000002−200i2−i200
χ3322-2-2-222-202-2002-2000−2i2i−2i2i0022-2-200000−2i2i0022−2−2000000−i2−i2i2i20000002−200−i2i200
χ3422-2-2-222-202-2002-2000−2i2i−2i2i0022-2-200000−2i2i00−2−222000000i2i2−i2−i2000000−2200i2−i200
χ3522-2-2-222-202-2002-2000−2i2i−2i2i00-2-222000002i−2i0022−2−2000000−i2−i2i2i2000000−2200i2−i200
χ3622-2-2-222-202-2002-2000−2i2i−2i2i00-2-222000002i−2i00−2−222000000i2i2−i2−i20000002−200−i2i200
χ372-222-2-22-22-2-22-222-22-200000000000000000000000002-22-22i−2i2i−2i00002i−2i00000000
χ382-222-2-22-22-2-22-222-22-200000000000000000000000002-22-2−2i2i−2i2i0000−2i2i00000000
χ392-222-2-22-22-2-22-222-22-20000000000000000000000000-22-222i−2i2i−2i0000−2i2i00000000
χ402-222-2-22-22-2-22-222-22-20000000000000000000000000-22-22−2i2i−2i2i00002i−2i00000000
χ412-222-2-22-2-222-22-2-222-200000000000000000002-22-2002i−2i−2i2i000002i−2i00000000000
χ422-222-2-22-2-222-22-2-222-200000000000000000002-22-200−2i2i2i−2i00000−2i2i00000000000
χ432-222-2-22-2-222-22-2-222-20000000000000000000-22-22002i−2i−2i2i00000−2i2i00000000000
χ442-222-2-22-2-222-22-2-222-20000000000000000000-22-2200−2i2i2i−2i000002i−2i00000000000
χ45444-44-4-4-4400-4-40040000000022−2222−22000000000000022−220000000000000000000000
χ46444-44-4-4-4400-4-400400000000−2222−22220000000000000−22220000000000000000000000
χ47444-44-4-4-4-4004400-40000000022−2222−220000000000000−22220000000000000000000000
χ48444-44-4-4-4-4004400-400000000−2222−2222000000000000022−220000000000000000000000
χ4944-44-4-4-44000000000000004i−4i22−22−222200000002i2−2i20000000000000000000000000000
χ5044-44-4-4-44000000000000004i−4i−222222−220000000−2i22i20000000000000000000000000000
χ5144-44-4-4-4400000000000000−4i4i22−22−22220000000−2i22i20000000000000000000000000000
χ5244-44-4-4-4400000000000000−4i4i−222222−2200000002i2−2i20000000000000000000000000000
χ5344-4-4-444-40-4400-440004i−4i−4i4i0000000000000000000000000000000000000000000
χ5444-4-4-444-40-4400-44000−4i4i4i−4i0000000000000000000000000000000000000000000
χ554-444-4-44-44444-4-4-4-4-4400000000000000000000000000000000000000000000000
χ564-444-4-44-4-4-4-4-44444-4400000000000000000000000000000000000000000000000
χ574-44-4-44-44400-4400-40000000000000004i−4i00000000000000000000000000000000
χ584-44-4-44-44400-4400-4000000000000000−4i4i00000000000000000000000000000000
χ594-44-4-44-44-4004-400400000000000004-40000000000000000000000000000000000
χ604-44-4-44-44-4004-40040000000000000-440000000000000000000000000000000000
χ614-4-4-44-44404-400-44000000000000000000000022−22−2222000000000000000000000000
χ624-4-4-44-44404-400-440000000000000000000000−222222−22000000000000000000000000
χ634-4-4-44-4440-44004-40000000000000000000000000000000022−22−222200000000000000
χ644-4-4-44-4440-44004-400000000000000000000000000000000−222222−2200000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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