Finite Group Databasebeta

← Group #72251808

Character table — Group #72251808

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422222224444444444444444888888444488
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ51111111111111111-1-111111111111-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-1111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-111-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-1
χ92222222222222-2-2200-2-200002222-20000000-2-200000000
χ102222222222222-2-2200-2-20000-2-2-2-2-200000002200000000
χ1122222222222-2-222-2002-222220000-200000-2-20000000000
χ1222222222222-2-222-2002-2-2-2-2-20000-200000220000000000
χ1322222222222-2-2-2-2-200-22000000002000220000-2-2000000
χ1422222222222-2-2-2-2-200-22000000002000-2-2000022000000
χ1522222-2-2-222-22222-222-2200000000-22-2-200000000000000
χ1622222-2-2-222-22222-2-2-2-2200000000-2-22200000000000000
χ1722222-2-2-222-222-2-2-2002-200000000200000000000002-200
χ1822222-2-2-222-222-2-2-2002-20000000020000000000000-2200
χ1922222-2-2-222-2-2-222200-2-2000000002000000000002-20000
χ2022222-2-2-222-2-2-222200-2-200000000200000000000-220000
χ2122222-2-2-222-2-2-2-2-22002200000000-20000000000000002i−2i
χ2222222-2-2-222-2-2-2-2-22002200000000-2000000000000000−2i2i
χ234444444-4-4-4-4000002200000000000-22-200000000000000
χ244444444-4-4-4-400000-2-2000000000002-2200000000000000
χ2544444-4-44-4-44000002200000000000-2-2200000000000000
χ2644444-4-44-4-4400000-2-20000000000022-200000000000000
χ27444-4-40004-40004-40000000002i2i−2i−2i000000002i−2i00000000
χ28444-4-40004-40004-4000000000−2i−2i2i2i00000000−2i2i00000000
χ29444-4-40004-4000-440000000002i2i−2i−2i00000000−2i2i00000000
χ30444-4-40004-4000-44000000000−2i−2i2i2i000000002i−2i00000000
χ31444-4-4000-4404-400000002i2i−2i−2i00000000002i−2i0000000000
χ32444-4-4000-4404-40000000−2i−2i2i2i0000000000−2i2i0000000000
χ33444-4-4000-440-4400000002i2i−2i−2i0000000000−2i2i0000000000
χ34444-4-4000-440-440000000−2i−2i2i2i00000000002i−2i0000000000
χ3544-44-400400-40000000002-22-22i−2i2i−2i00002i−2i000000000000
χ3644-44-400400-40000000002-22-2−2i2i−2i2i0000−2i2i000000000000
χ3744-44-400400-4000000000-22-222i−2i2i−2i0000−2i2i000000000000
χ3844-44-400400-4000000000-22-22−2i2i−2i2i00002i−2i000000000000
χ3944-4-444-400000000000002i−2i−2i2i2-2-2200000000002i−2i000000
χ4044-4-444-400000000000002i−2i−2i2i-222-20000000000−2i2i000000
χ4144-4-444-40000000000000−2i2i2i−2i2-2-220000000000−2i2i000000
χ4244-4-444-40000000000000−2i2i2i−2i-222-200000000002i−2i000000
χ4388-88-800-800800000000000000000000000000000000000
χ4488-8-88-88000000000000000000000000000000000000000
χ4516-16000000000000004-40000000000000000000000000000
χ4616-1600000000000000-440000000000000000000000000000

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