Finite Group Databasebeta

← Group #72241309

Character table — Group #72241309

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422222222222444444444444888888444488
χ11111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111111-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111-1-111111-1-111111-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-1-111111-1-11111111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-111-1-11-1-11111-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111
χ81111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-111-1-1-1-1111111-1-1
χ92222222222222-2-22002200-20022-2-20000000-2-200000000
χ102222222222222-2-2200-2-200-200-2-2-2-200000002200000000
χ1122222222222-2-222-222000022200-2-200000-2-20000000000
χ1222222222222-2-222-2-2-200002-2-200-2-200000220000000000
χ1322222222222-2-2-2-2-2000000-2000022000220000-2-2000000
χ1422222222222-2-2-2-2-2000000-2000022000-2-2000022000000
χ1522222-2-2-222-22222-2000022-200002-2-2-2200000000000000
χ1622222-2-2-222-22222-20000-2-2-200002-222-200000000000000
χ1722222-2-2-222-222-2-2-200000020000-2200000000000002-200
χ1822222-2-2-222-222-2-2-200000020000-220000000000000-2200
χ1922222-2-2-222-2-2-2222000000-20000-22000000000002-20000
χ2022222-2-2-222-2-2-2222000000-20000-2200000000000-220000
χ2122222-2-2-222-2-2-2-2-22000000200002-20000000000000002i−2i
χ2222222-2-2-222-2-2-2-2-22000000200002-2000000000000000−2i2i
χ234444444-4-4-4-40000000002200000002-2-200000000000000
χ244444444-4-4-4-4000000000-2-20000000-22200000000000000
χ2544444-4-44-4-44000000000220000000-22-200000000000000
χ2644444-4-44-4-44000000000-2-200000002-2200000000000000
χ27444-4-400-400400000222-2000-2-22-2000002-2000000000000
χ28444-4-400-40040000022-22000-2-2-2200000-22000000000000
χ29444-4-400-400400000-2-22-2000222-200000-22000000000000
χ30444-4-400-400400000-2-2-2200022-22000002-2000000000000
χ3144-44-4-440000000002-2220002-2-2-2000000000002-2000000
χ3244-44-4-440000000002-2-2-20002-22200000000000-22000000
χ3344-44-4-44000000000-2222000-22-2-200000000000-22000000
χ3444-44-4-44000000000-22-2-2000-2222000000000002-2000000
χ3544-4-440004-40004-40002-200000-220000000002-200000000
χ3644-4-440004-40004-4000-22000002-2000000000-2200000000
χ3744-4-440004-4000-440002-200000-22000000000-2200000000
χ3844-4-440004-4000-44000-22000002-20000000002-200000000
χ3944-4-44000-4404-40002-200000-220000000002-20000000000
χ4044-4-44000-4404-4000-22000002-2000000000-220000000000
χ4144-4-44000-440-440002-200000-22000000000-220000000000
χ4244-4-44000-440-44000-22000002-20000000002-20000000000
χ43888-8-800800-800000000000000000000000000000000000
χ4488-88-88-8000000000000000000000000000000000000000
χ4516-160000000000000000004-4000000000000000000000000
χ4616-16000000000000000000-44000000000000000000000000

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