Finite Group Databasebeta

← Group #72284869

Character table — Group #72284869

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222222222444444444444444424444444444448888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1
χ311111111111111111111-1-1-1-111111-1-111111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ51111111111111111-1-11111111111111-1-1-1111111-1-1-1-1-1-1
χ61111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111-1-111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1
χ92222222222222-2-2200-2-222220000-20000000-2-200000000
χ102222222222222-2-2200-2-2-2-2-2-20000-200000002200000000
χ1122222222222-2-222-2002-200002222-200000-2-20000000000
χ1222222222222-2-222-2002-20000-2-2-2-2-200000220000000000
χ1322222222222-2-2-2-2-200-22000000002220000000-2-2000000
χ1422222222222-2-2-2-2-200-22000000002-2-2000000022000000
χ15222222-2-2-2-222222-200-2200000000-2000000000002-20000
χ16222222-2-2-2-222222-200-2200000000-200000000000-220000
χ17222222-2-2-2-2222-2-2-2222-200000000200-2-22000000000000
χ18222222-2-2-2-2222-2-2-2-2-22-20000000020022-2000000000000
χ19222222-2-2-2-22-2-222200-2-20000000020000000000000002-2
χ20222222-2-2-2-22-2-222200-2-2000000002000000000000000-22
χ21222222-2-2-2-22-2-2-2-22002200000000-200000000000002i−2i00
χ22222222-2-2-2-22-2-2-2-22002200000000-20000000000000−2i2i00
χ2344444-44-44-4-4000002200000000000002-2-2000000000000
χ2444444-44-44-4-400000-2-20000000000000-222000000000000
χ2544444-4-44-44-400000220000000000000-22-2000000000000
χ2644444-4-44-44-400000-2-200000000000002-22000000000000
χ27444-4-40040-400000000002i2i−2i−2i2i2i−2i−2i02-2000000000000000
χ28444-4-40040-400000000002i2i−2i−2i−2i−2i2i2i0-22000000000000000
χ29444-4-40040-40000000000−2i−2i2i2i2i2i−2i−2i0-22000000000000000
χ30444-4-40040-40000000000−2i−2i2i2i−2i−2i2i2i02-2000000000000000
χ3144-44-4040-4000000000002i−2i2i−2i2i−2i2i−2i00000000002-2000000
χ3244-44-4040-4000000000002i−2i2i−2i−2i2i−2i2i0000000000-22000000
χ3344-44-4040-400000000000−2i2i−2i2i2i−2i2i−2i0000000000-22000000
χ3444-44-4040-400000000000−2i2i−2i2i−2i2i−2i2i00000000002-2000000
χ3544-4-4440000-4004i−4i000002-2-220000000000002i−2i00000000
χ3644-4-4440000-4004i−4i00000-222-2000000000000−2i2i00000000
χ3744-4-4440000-400−4i4i000002-2-22000000000000−2i2i00000000
χ3844-4-4440000-400−4i4i00000-222-20000000000002i−2i00000000
χ3944-4-44-4000044-4000000000002-2-220000002-20000000000
χ4044-4-44-4000044-400000000000-222-2000000-220000000000
χ4144-4-44-400004-44000000000002-2-22000000-220000000000
χ4244-4-44-400004-4400000000000-222-20000002-20000000000
χ43888-8-800-808000000000000000000000000000000000000
χ4488-88-80-8080000000000000000000000000000000000000
χ4516-16000000000000004i−4i0000000000000000000000000000
χ4616-1600000000000000−4i4i0000000000000000000000000000

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