Finite Group Databasebeta

← Group #501931

Character table — Group #501931

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11222222222224444444488888888888888888161616161616161616161616161616163232
order12222444488884488888822444444416161616161616162444448888881616161688
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ9111111111-1-111-1-11-1-1-1111-11-1-111111111-1-1-1-11111-1-11-1-1-1-1-111-1-11-1
χ10111111111-1-111-1-11-1-1-1111-11-1-11111-1-1-1-11111-1-111-1-11-111-1-1-1-111-11
χ11111111111-1-111-1-11-1-1-1111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1111111-1-1-11
χ12111111111-1-111-1-11-1-1-1111-11-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-1111-1
χ13111111111-1-111-1-11-1-1-111-11-11-111111111-1-1-1-111-1-111-11-1-1-1-1-1-111-11
χ14111111111-1-111-1-11-1-1-111-11-11-11111-1-1-1-11111-1-1-1-111-1111-1-111-1-11-1
χ15111111111-1-111-1-11-1-1-111-11-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-1111-1
χ16111111111-1-111-1-11-1-1-111-11-11-1-1-1-1-1-1-1-1-111111111-1-1-11-1-11111-1-1-11
χ1722222222222-2-2-2-2-2222-2-22222-2000000000000000000-2-20000000000
χ1822222222222-2-2-2-2-2222-2-2-2-2-2-2-2000000000000000000220000000000
χ19222222222-2-2-2-222-2-2-2-2-2-22-22-22000000000000000000-220000000000
χ20222222222-2-2-2-222-2-2-2-2-2-2-22-2220000000000000000002-20000000000
χ21222-2-2-22-2200-2-20020002-2000002i2i−2i−2i2i2i−2i−2i00002-20000000000000000
χ22222-2-2-22-2200-2-20020002-2000002i2i−2i−2i−2i−2i2i2i0000-220000000000000000
χ23222-2-2-22-2200-2-20020002-200000−2i−2i2i2i2i2i−2i−2i0000-220000000000000000
χ24222-2-2-22-2200-2-20020002-200000−2i−2i2i2i−2i−2i2i2i00002-20000000000000000
χ2522-22-2-222-2222222-22-2-22-20000-2000000000000002i−2i2i−2i000000000000
χ2622-22-2-222-2222222-22-2-22-20000-200000000000000−2i2i−2i2i000000000000
χ2722-22-2-222-222-2-2-2-222-2-2-22000022i−2i2i−2i0000000000000000002i−2i000000
χ2822-22-2-222-222-2-2-2-222-2-2-2200002−2i2i−2i2i000000000000000000−2i2i000000
χ2922-22-2-222-2-2-222-2-2-2-2222-200002000000000000002i−2i−2i2i000000000000
χ3022-22-2-222-2-2-222-2-2-2-2222-20000200000000000000−2i2i2i−2i000000000000
χ3122-22-2-222-2-2-2-2-2222-222-220000-22i−2i2i−2i000000000000000000−2i2i000000
χ3222-22-2-222-2-2-2-2-2222-222-220000-2−2i2i−2i2i0000000000000000002i−2i000000
χ3322-2-2222-2-20022002000-2-2000002-2-2200002i2i−2i−2i000000002i−2i00000000
χ3422-2-2222-2-20022002000-2-2000002-2-220000−2i−2i2i2i00000000−2i2i00000000
χ3522-2-2222-2-20022002000-2-200000-222-200002i2i−2i−2i00000000−2i2i00000000
χ3622-2-2222-2-20022002000-2-200000-222-20000−2i−2i2i2i000000002i−2i00000000
χ3722-2-22-2-2222200000-22-20022-2-2000002−22−22−22−20000000000002−22−200
χ3822-2-22-2-2222200000-22-20022-2-200000−22−22−22−22000000000000−22−2200
χ3922-2-22-2-2222200000-22-200-2-222000002−22−22−22−2000000000000−22−2200
χ4022-2-22-2-2222200000-22-200-2-22200000−22−22−22−220000000000002−22−200
χ4122-2-22-2-222-2-2000002-22002-2-22000002−22−2−22−220000000000002−2−2200
χ4222-2-22-2-222-2-2000002-22002-2-2200000−22−222−22−2000000000000−222−200
χ4322-2-22-2-222-2-2000002-2200-222-2000002−22−2−22−22000000000000−222−200
χ4422-2-22-2-222-2-2000002-2200-222-200000−22−222−22−20000000000002−2−2200
χ4544444-4-4-4-400000000000000000000000002i2−2i2−2i22i2000000000000000000
χ4644444-4-4-4-40000000000000000000000000−2i22i22i2−2i2000000000000000000
χ47444-4-44-44-44400000-4-440000000000000000000000000000000000000
χ48444-4-44-44-4-4-40000044-40000000000000000000000000000000000000
χ49444-4-4-44-44004400-4000-4400000000000000000000000000000000000
χ5044-44-44-4-440000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5144-44-44-4-44000000000000000000000−2i22i22i2−2i20000000000000000000000
χ5244-4-4444-4-400-4-400-40004400000000000000000000000000000000000
χ538-8000000042−424i2−4i24i−4i00000000000000000000000000000000000000000
χ548-8000000042−42−4i24i2−4i4i00000000000000000000000000000000000000000
χ558-80000000−42424i2−4i2−4i4i00000000000000000000000000000000000000000
χ568-80000000−4242−4i24i24i−4i00000000000000000000000000000000000000000

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