Finite Group Databasebeta

← Group #72219536

Character table — Group #72219536

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444444442222244444888824444448888448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1
χ31111111111111111111111-1-111111-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-11-1-1111-1-1-1-1111-1-111-1-11111-1-1-1-1
χ711111111111111111-1-11-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1
χ811111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ92222222222222-2-22-222-22200-200000000000-2-200000000
χ102222222222222-2-22-2-2-2-2-2-200-2000000000002200000000
χ1122222222222-2-222-2-200-2000022222000-2-2000000000000
χ1222222222222-2-222-2-200-200002-2-2-2-200022000000000000
χ1322222222222-2-2-2-2-220020000-20000000002200-2-2000000
χ1422222222222-2-2-2-2-220020000-2000000000-2-20022000000
χ1522222-2-2-222-22222-2200-20022-20000-22-200000000000000
χ1622222-2-2-222-22222-2200-200-2-2-200002-2200000000000000
χ1722222-2-2-222-222-2-2-2-200200002000000000000000002-200
χ1822222-2-2-222-222-2-2-2-20020000200000000000000000-2200
χ1922222-2-2-222-2-2-2222-20020000-200000000000000000002-2
χ2022222-2-2-222-2-2-2222-20020000-20000000000000000000-22
χ2122222-2-2-222-2-2-2-2-22200-2000020000000000000002i−2i0000
χ2222222-2-2-222-2-2-2-2-22200-200002000000000000000−2i2i0000
χ234444444-4-4-4-40000000000022000002-2-200000000000000
χ244444444-4-4-4-400000000000-2-200000-22200000000000000
χ2544444-4-44-4-44000000000002200000-2-2200000000000000
χ2644444-4-44-4-4400000000000-2-20000022-200000000000000
χ27444-4-400400-4000000220-2-20002i2i−2i−2i0000000002i−2i000000
χ28444-4-400400-4000000220-2-2000−2i−2i2i2i000000000−2i2i000000
χ29444-4-400400-4000000-2-20220002i2i−2i−2i000000000−2i2i000000
χ30444-4-400400-4000000-2-2022000−2i−2i2i2i0000000002i−2i000000
χ3144-44-44-400000000002-202-20002i−2i2i−2i000002i−2i0000000000
χ3244-44-44-400000000002-202-2000−2i2i−2i2i00000−2i2i0000000000
χ3344-44-44-40000000000-220-220002i−2i2i−2i00000−2i2i0000000000
χ3444-44-44-40000000000-220-22000−2i2i−2i2i000002i−2i0000000000
χ3544-4-440004-40004-4002-20-22000000000000002-200000000
χ3644-4-440004-40004-400-2202-200000000000000-2200000000
χ3744-4-440004-4000-44002-20-2200000000000000-2200000000
χ3844-4-440004-4000-4400-2202-2000000000000002-200000000
χ3944-4-44000-4404-40000000000002-2-220002-2000000000000
χ4044-4-44000-4404-4000000000000-222-2000-22000000000000
χ4144-4-44000-440-440000000000002-2-22000-22000000000000
χ4244-4-44000-440-44000000000000-222-20002-2000000000000
χ43888-8-800-800800000000000000000000000000000000000
χ4488-88-8-88000000000000000000000000000000000000000
χ4516-16000000000000000000004-40000000000000000000000
χ4616-1600000000000000000000-440000000000000000000000

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