Finite Group Databasebeta

← Group #103296

Character table — Group #103296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222222244444444444444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222222222222222-2-2-2-2-2-200000000-20000000022-2-200000000000000
χ10222222222222222222-2-2-2-2-2-200000000-200000000-2-22200000000000000
χ11222222222222-2-2-2-2-2-2222-2-222222-2-2-2-2-200000000000000000000000000
χ12222222222222-2-2-2-2-2-2222-2-22-2-2-2-22222-200000000000000000000000000
χ13222222222222-2-2-2-2-2-2-2-2-222-200000000200000000000022-2-20000000000
χ14222222222222-2-2-2-2-2-2-2-2-222-2000000002000000000000-2-2220000000000
χ1522222222-2-2-2-22222-2-222-222-200000000-2000000000000000022-2-2000000
χ1622222222-2-2-2-22222-2-222-222-200000000-20000000000000000-2-222000000
χ1722222222-2-2-2-22222-2-2-2-22-2-220000000020000000000000000000000002-2
χ1822222222-2-2-2-22222-2-2-2-22-2-22000000002000000000000000000000000-22
χ1922222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022i2i2i2i−2i−2i−2i−2i000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002−2i−2i−2i−2i2i2i2i2i000000000000000000
χ2122222222-2-2-2-2-2-2-2-222-2-2222200000000-20000000000000000000022-2-200
χ2222222222-2-2-2-2-2-2-2-222-2-2222200000000-200000000000000000000-2-22200
χ23222-22-2-2-222-2-20000002-2200-222-2-20000022−2−222−2−2000000002−22−2000000
χ24222-22-2-2-222-2-20000002-2200-222-2-200000−2−222−2−22200000000−22−22000000
χ25222-22-2-2-222-2-20000002-2200-2-2-2220000022−2−222−2−200000000−22−22000000
χ26222-22-2-2-222-2-20000002-2200-2-2-22200000−2−222−2−222000000002−22−2000000
χ27222-22-2-2-2-2-2220000002-2-200200002i2i−2i−2i0i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ28222-22-2-2-2-2-2220000002-2-200200002i2i−2i−2i0−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ29222-22-2-2-2-2-2220000002-2-20020000−2i−2i2i2i0i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ30222-22-2-2-2-2-2220000002-2-20020000−2i−2i2i2i0−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ312-2-222-22-22-22-2-2-2222-20000000000000002−22−22−22−2002i−2i00000000i2−i2i2−i200
χ322-2-222-22-22-22-2-2-2222-20000000000000002−22−22−22−200−2i2i00000000−i2i2−i2i200
χ332-2-222-22-22-22-2-2-2222-2000000000000000−22−22−22−22002i−2i00000000−i2i2−i2i200
χ342-2-222-22-22-22-2-2-2222-2000000000000000−22−22−22−2200−2i2i00000000i2−i2i2−i200
χ352-2-222-22-2-22-2222-2-22-2000000000000000i2−i2i2−i2−i2i2−i2i22-20000000000i2−i2−i2i200
χ362-2-222-22-2-22-2222-2-22-2000000000000000i2−i2i2−i2−i2i2−i2i2-220000000000−i2i2i2−i200
χ372-2-222-22-2-22-2222-2-22-2000000000000000−i2i2−i2i2i2−i2i2−i22-20000000000−i2i2i2−i200
χ382-2-222-22-2-22-2222-2-22-2000000000000000−i2i2−i2i2i2−i2i2−i2-220000000000i2−i2−i2i200
χ39444-44-4-4-444-4-4000000-44-400400000000000000000000000000000000000
χ40444-44-4-4-4-4-444000000-44400-400000000000000000000000000000000000
χ4144-44-44-4-400004-44-4000000000000000000000000000002-22-20000000000
χ4244-44-44-4-400004-44-400000000000000000000000000000-22-220000000000
χ4344-44-44-4-40000-44-44000000000000000000000000000002-2-220000000000
χ4444-44-44-4-40000-44-4400000000000000000000000000000-222-20000000000
χ454-444-4-4-4400004-4-44000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000
χ464-444-4-4-4400004-4-4400000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000
χ474-444-4-4-440000-444-4000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000
χ484-444-4-4-440000-444-400000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000
χ494-44-4-444-400000000000004i−4i02i−2i−2i2i2-2-22000000000000000000000000000
χ504-44-4-444-400000000000004i−4i0−2i2i2i−2i-222-2000000000000000000000000000
χ514-44-4-444-40000000000000−4i4i02i−2i−2i2i-222-2000000000000000000000000000
χ524-44-4-444-40000000000000−4i4i0−2i2i2i−2i2-2-22000000000000000000000000000
χ534-4-444-44-44-44-444-4-4-4400000000000000000000000000000000000000000
χ544-4-444-44-4-44-44-4-444-4400000000000000000000000000000000000000000
χ554-4-4-444-444-4-440000000000000000000002-2-222-2-22000000000000000000
χ564-4-4-444-444-4-44000000000000000000000-222-2-222-2000000000000000000
χ574-4-4-444-44-444-40000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ584-4-4-444-44-444-4000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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