Finite Group Databasebeta

← Group #72339611

Character table — Group #72339611

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422442222444444888824444448888448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1
χ3111111111111111111111-1-111111111-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-111
χ711111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ92222222222222-2-22-2222200-2-200000000000-2-200000000
χ102222222222222-2-22-2-2-2-2-200-2-2000000000002200000000
χ1122222222222-2-222-2-20000002-22222-2-2000000000000000
χ1222222222222-2-222-2-20000002-2-2-2-2-222000000000000000
χ1322222222222-2-2-2-2-22000000-220000000002200-2-2000000
χ1422222222222-2-2-2-2-22000000-22000000000-2-20022000000
χ1522222-2-2-222-22222-22000022-2-2000000-2-22000000000000
χ1622222-2-2-222-22222-220000-2-2-2-200000022-2000000000000
χ1722222-2-2-222-222-2-2-2-2000000220000000000000002-20000
χ1822222-2-2-222-222-2-2-2-200000022000000000000000-220000
χ1922222-2-2-222-2-2-2222-2000000-22000000000000000002-200
χ2022222-2-2-222-2-2-2222-2000000-2200000000000000000-2200
χ2122222-2-2-222-2-2-2-2-2220000002-200000000000000000002i−2i
χ2222222-2-2-222-2-2-2-2-2220000002-20000000000000000000−2i2i
χ234444444-4-4-4-4000000000022000000002-2-2000000000000
χ244444444-4-4-4-40000000000-2-200000000-222000000000000
χ2544444-4-44-4-4400000000002200000000-22-2000000000000
χ2644444-4-44-4-440000000000-2-2000000002-22000000000000
χ27444-4-400-40040000002-22-2000022-2-20000000002-2000000
χ28444-4-400-40040000002-22-20000-2-222000000000-22000000
χ29444-4-400-4004000000-22-22000022-2-2000000000-22000000
χ30444-4-400-4004000000-22-220000-2-2220000000002-2000000
χ3144-44-4-44000000000022-2-200002-22-2000002-20000000000
χ3244-44-4-44000000000022-2-20000-22-2200000-220000000000
χ3344-44-4-440000000000-2-22200002-22-200000-220000000000
χ3444-44-4-440000000000-2-2220000-22-22000002-20000000000
χ3544-4-440004-40004-4002-2-220000000000000002-200000000
χ3644-4-440004-40004-400-222-2000000000000000-2200000000
χ3744-4-440004-4000-44002-2-22000000000000000-2200000000
χ3844-4-440004-4000-4400-222-20000000000000002-200000000
χ3944-4-44000-4404-40000000000002-2-222-2000000000000000
χ4044-4-44000-4404-4000000000000-222-2-22000000000000000
χ4144-4-44000-440-440000000000002-2-22-22000000000000000
χ4244-4-44000-440-44000000000000-222-22-2000000000000000
χ43888-8-800800-800000000000000000000000000000000000
χ4488-88-88-8000000000000000000000000000000000000000
χ4516-1600000000000000000004i−4i00000000000000000000000
χ4616-160000000000000000000−4i4i00000000000000000000000

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