Finite Group Databasebeta

← Group #484657

Character table — Group #484657

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444448888881616161616161616161616161616161616161616161616161616
order1244222444224444444488882222444444448888881616161616161616
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ51111111111111-1-1-1-11-1-111111-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-11-1-111111-1-1-11-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-11-1-11111-1111-1111-1-111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11-1-11111-11-1-1-11-1-1-1-111-1-111111111-1-1-1-1
χ911-1-1-1-111-111-1-111-1-111-1-1-111111-1-1-11-11-11-11-111-1-111-1-111-1-1
χ1011-1-1-1-111-111-1-111-1-111-1-1-11111-11-1-1-111-11-11-1-1-111-1-111-1-111
χ1111-1-1-1-111-111-1-111-1-111-1-1-111-1-11-1111-1-11-111-111-1-1-1-111-1-111
χ1211-1-1-1-111-111-1-111-1-111-1-1-111-1-1-1111-11-11-111-1-1-11111-1-111-1-1
χ1311-1-1-1-111-111-1-1-1-1111-11-1-1111-11-1-111-11-1-11-11-1-11111-1-1-1-111
χ1411-1-1-1-111-111-1-1-1-1111-11-1-1111-1-11-11-111-1-11-1111-1-1-1-11111-1-1
χ1511-1-1-1-111-111-1-1-1-1111-11-1-111-111-11-11-1-111-1-11-1-111-1-11111-1-1
χ1611-1-1-1-111-111-1-1-1-1111-11-1-111-11-111-1-11-111-1-1111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2000000000000-2-2000000000000
χ182222222222222-2-2-2-22-2-2-2-2-2-200000000000022000000000000
χ192222222222-2-2-20000-2002-22-20200020000-2-200000000000000
χ202222222222-2-2-20000-2002-22-20-2000-200002200000000000000
χ212222222222-2-2-20000-200-22-2220002000-2-20000000000000000
χ222222222222-2-2-20000-200-22-22-2000-2000220000000000000000
χ232222-2-22-22-2-22-222222-2-200000000000000000000002−22−22−22−2
χ242222-2-22-22-2-22-222222-2-20000000000000000000000−22−22−22−22
χ252222-2-22-22-2-22-2-2-2-2-222200000000000000000000002−22−2−22−22
χ262222-2-22-22-2-22-2-2-2-2-22220000000000000000000000−22−222−22−2
χ2722-2-2222-2-2-2-2-2222-2-22-2200000000000000000000002−2−222−2−22
χ2822-2-2222-2-2-2-2-2222-2-22-220000000000000000000000−222−2−222−2
χ2922-2-2222-2-2-2-2-22-2-22222-200000000000000000000002−2−22−222−2
χ3022-2-2222-2-2-2-2-22-2-22222-20000000000000000000000−222−22−2−22
χ3122-2-2-2-222-222-2-222-2-222-222-2-2000000000000-22000000000000
χ3222-2-2-2-222-222-2-2-2-2222-2222-2-20000000000002-2000000000000
χ3322-2-2-2-222-22-2220000-2002-2-222000-2000-220000000000000000
χ3422-2-2-2-222-22-2220000-2002-2-22-200020002-20000000000000000
χ3522-2-2-2-222-22-2220000-200-222-202000-20000-2200000000000000
χ3622-2-2-2-222-22-2220000-200-222-20-2000200002-200000000000000
χ3744444-4-44-4-400000000000000000000000000002i−2i2i−2i00000000
χ3844444-4-44-4-40000000000000000000000000000−2i2i−2i2i00000000
χ394444-44-4-4-4400000000000000002-200-22000000000000000000
χ404444-44-4-4-440000000000000000-22002-2000000000000000000
χ414444-4-44-44-44-440000-400000000000000000000000000000000
χ4244-4-4444-4-4-444-40000-400000000000000000000000000000000
χ4344-4-44-4-4-44400000000000000002200-2-2000000000000000000
χ4444-4-44-4-4-4440000000000000000-2-20022000000000000000000
χ4544-4-4-44-444-400000000000000000000000000002i−2i−2i2i00000000
χ4644-4-4-44-444-40000000000000000000000000000−2i2i2i−2i00000000
χ478-88i−8i0000000004-44i−4i000000000000000000000000000000000
χ488-88i−8i000000000-44−4i4i000000000000000000000000000000000
χ498-8−8i8i0000000004-4−4i4i000000000000000000000000000000000
χ508-8−8i8i000000000-444i−4i000000000000000000000000000000000

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