Finite Group Databasebeta

← Group #508561

Character table — Group #508561

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1122222222222444444448888888881616161616161616161616161616161632323232
order1222244448888448888882444488884444888816161616161616164488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ6111111111111111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111
χ9111111111-1-111-1-111-1-1-1111-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ10111111111-1-111-1-111-1-1-1111-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ11111111111-1-111-1-111-1-1-1111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ12111111111-1-111-1-111-1-1-1111-1-1-111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ13111111111-1-111-1-111-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1
χ14111111111-1-111-1-111-1-1-11-1-1-111-1-11111-1-1-1-111-1-11111-1-11-1-11
χ15111111111-1-111-1-111-1-1-11-1-1-111-1-111-1-11111-1-111-1-1-1-1111-1-11
χ16111111111-1-111-1-111-1-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1
χ1722222222222-2-2-2-2-2-2222-222-2-2-2-2-22200000000000000000000
χ1822222222222-2-2-2-2-2-2222-2-2-2-22222-2-200000000000000000000
χ19222222222-2-2-2-222-2-2-2-2-2-222222-2-2-2-200000000000000000000
χ20222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-2222200000000000000000000
χ21222-2-22-2-22220000002-2-200002i−2i2i−2i0000000000i2−i2i2−i22−22−20000
χ22222-2-22-2-22220000002-2-200002i−2i2i−2i0000000000−i2i2−i2i2−22−220000
χ23222-2-22-2-22220000002-2-20000−2i2i−2i2i0000000000i2−i2i2−i2−22−220000
χ24222-2-22-2-22220000002-2-20000−2i2i−2i2i0000000000−i2i2−i2i22−22−20000
χ25222-2-22-2-22-2-2000000-22200002i−2i−2i2i0000000000i2−i2−i2i2−222−20000
χ26222-2-22-2-22-2-2000000-22200002i−2i−2i2i0000000000−i2i2i2−i22−2−220000
χ27222-2-22-2-22-2-2000000-2220000−2i2i2i−2i0000000000i2−i2−i2i22−2−220000
χ28222-2-22-2-22-2-2000000-2220000−2i2i2i−2i0000000000−i2i2i2−i2−222−20000
χ2922-2-2222-2-22222222-2-22-2-200-20000002i−2i002i−2i00000000000000
χ3022-2-2222-2-22222222-2-22-2-200-2000000−2i2i00−2i2i00000000000000
χ3122-2-2222-2-222-2-2-2-2-22-22-22002000000002i−2i002i−2i000000000000
χ3222-2-2222-2-222-2-2-2-2-22-22-2200200000000−2i2i00−2i2i000000000000
χ3322-2-2222-2-2-2-222-2-22-22-22-20020000002i−2i00−2i2i00000000000000
χ3422-2-2222-2-2-2-222-2-22-22-22-2002000000−2i2i002i−2i00000000000000
χ3522-2-2222-2-2-2-2-2-222-222-22200-2000000002i−2i00−2i2i000000000000
χ3622-2-2222-2-2-2-2-2-222-222-22200-200000000−2i2i002i−2i000000000000
χ3744444-4-4-4-400000000000000000004i−4i00000000000000000000
χ3844444-4-4-4-40000000000000000000−4i4i00000000000000000000
χ39444-4-4-444-4004400-44000-400000000000000000000000000000
χ40444-4-4-444-400-4-4004-4000400000000000000000000000000000
χ4144-44-44-44-444000000-4-44000000000000000000000000000000
χ4244-44-44-44-4-4-400000044-4000000000000000000000000000000
χ4344-44-4-44-44004400-4-4000400000000000000000000000000000
χ4444-44-4-44-4400-4-40044000-400000000000000000000000000000
χ4544-4-44-4-4440000000000004-4000000000000000000000000000
χ4644-4-44-4-444000000000000-44000000000000000000000000000
χ478-800000004i2−4i24i2−4i24-400000000000000000000000000000000000
χ488-800000004i2−4i2−4i24i2-4400000000000000000000000000000000000
χ498-80000000−4i24i24i2−4i2-4400000000000000000000000000000000000
χ508-80000000−4i24i2−4i24i24-400000000000000000000000000000000000

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