Finite Group Databasebeta

← Group #72337635

Character table — Group #72337635

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122444444888888881616161616161616161616161616323232323232323232323232323264646464
order1222222244442222444422222244444444444444888888884444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ922222222222222-2-2-2-2-2-22-20000002200220000-2-2000000000000
χ1022222222222222-2-2-2-2-2-22-2000000-2-200-2-2000022000000000000
χ11222222222222-2-222-2-2-2-2-2222002200000000-2-200000000000000
χ12222222222222-2-222-2-2-2-2-22-2-200-2-2000000002200000000000000
χ13222222222222-2-2-2-22222-2-200000000000000000022-2-200000000
χ14222222222222-2-2-2-22222-2-2000000000000000000-2-22200000000
χ1522222222-2-2-2-22222-222-2-2-2002200002200-2-20000000000000000
χ1622222222-2-2-2-22222-222-2-2-200-2-20000-2-200220000000000000000
χ1722222222-2-2-2-222-2-22-2-22-2200000000000000000000000000002-2
χ1822222222-2-2-2-222-2-22-2-22-220000000000000000000000000000-22
χ1922222222-2-2-2-2-2-2222-2-222-2000000000000000000000000002-200
χ2022222222-2-2-2-2-2-2222-2-222-200000000000000000000000000-2200
χ2122222222-2-2-2-2-2-2-2-2-222-22200000000000000000000002i2i−2i−2i0000
χ2222222222-2-2-2-2-2-2-2-2-222-2220000000000000000000000−2i−2i2i2i0000
χ23444444-4-44-44-4000000000000220000-2-2002-20000000000000000
χ24444444-4-44-44-4000000000000-2-200002200-220000000000000000
χ25444444-4-4-44-44000000000000220000-2-200-220000000000000000
χ26444444-4-4-44-44000000000000-2-2000022002-20000000000000000
χ274444-4-44-40000004-40000000000002200-2-200002-2000000000000
χ284444-4-44-40000004-4000000000000-2-200220000-22000000000000
χ294444-4-44-4000000-440000000000002200-2-20000-22000000000000
χ304444-4-44-4000000-44000000000000-2-2002200002-2000000000000
χ314444-4-4-4400004-4000000002200-2-2000000002-200000000000000
χ324444-4-4-4400004-400000000-2-2002200000000-2200000000000000
χ334444-4-4-440000-44000000002200-2-200000000-2200000000000000
χ344444-4-4-440000-4400000000-2-20022000000002-200000000000000
χ3544-4-44-400040-400000000002-2002-22i−2i002i−2i0000002i−2i0000000000
χ3644-4-44-400040-400000000002-2002-2−2i2i00−2i2i000000−2i2i0000000000
χ3744-4-44-400040-40000000000-2200-222i−2i002i−2i000000−2i2i0000000000
χ3844-4-44-400040-40000000000-2200-22−2i2i00−2i2i0000002i−2i0000000000
χ3944-4-4-440040-4000000000002-200-222i−2i00−2i2i000000002i−2i00000000
χ4044-4-4-440040-4000000000002-200-22−2i2i002i−2i00000000−2i2i00000000
χ4144-4-4-440040-400000000000-22002-22i−2i00−2i2i00000000−2i2i00000000
χ4244-4-4-440040-400000000000-22002-2−2i2i002i−2i000000002i−2i00000000
χ4388-8-88-8000-8080000000000000000000000000000000000000000
χ4488-8-8-8800-80800000000000000000000000000000000000000000
χ458-88-8000000000000400-40000000000000000000000002i−2i2i−2i0000
χ468-88-8000000000000400-4000000000000000000000000−2i2i−2i2i0000
χ478-88-8000000000000-40040000000000000000000000002-2-220000
χ488-88-8000000000000-4004000000000000000000000000-222-20000
χ498-8-8800000000000004-4000000000004-400000000000000000000
χ508-8-8800000000000004-400000000000-4400000000000000000000
χ518-8-880000000000000-44000004-400000000000000000000000000
χ528-8-880000000000000-4400000-4400000000000000000000000000

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