Finite Group Databasebeta

← Group #72219542

Character table — Group #72219542

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422442244444444888822444448888444488
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-11111-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111-1-1-1-11-1-1111111-1-1-1-111-1-1
χ71111111111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ92222222222222-2-22-2-2-22222000000000000000-2-2000000
χ102222222222222-2-22-2-2-2-2-2-2-200000000000000022000000
χ1122222222222-2-222-2-2-2200000022220-2-200000000000000
χ1222222222222-2-222-2-2-22000000-2-2-2-202200000000000000
χ1322222222222-2-2-2-2-222-200000000000000022-2-200000000
χ1422222222222-2-2-2-2-222-2000000000000000-2-22200000000
χ1522222-2-22-2-222222-2-22-20000220000-2002-2000000000000
χ1622222-2-22-2-222222-2-22-20000-2-20000200-22000000000000
χ1722222-2-22-2-2222-2-2-22-220000000000000000000002-20000
χ1822222-2-22-2-2222-2-2-22-22000000000000000000000-220000
χ1922222-2-22-2-22-2-22222-2-200000000000000000000000002-2
χ2022222-2-22-2-22-2-22222-2-20000000000000000000000000-22
χ2122222-2-22-2-22-2-2-2-22-222000000000000000000000002i−2i00
χ2222222-2-22-2-22-2-2-2-22-22200000000000000000000000−2i2i00
χ234444444-4-4-4-4000000000000220000200-2-2000000000000
χ244444444-4-4-4-4000000000000-2-20000-20022000000000000
χ2544444-4-4-444-4000000000000220000-200-22000000000000
χ2644444-4-4-444-4000000000000-2-200002002-2000000000000
χ27444-4-40004-40000000002i2i−2i−2i0022-2-200000002i−2i00000000
χ28444-4-40004-40000000002i2i−2i−2i00-2-2220000000−2i2i00000000
χ29444-4-40004-4000000000−2i−2i2i2i0022-2-20000000−2i2i00000000
χ30444-4-40004-4000000000−2i−2i2i2i00-2-22200000002i−2i00000000
χ3144-44-400400-4004-400002i−2i2i−2i0000000000000002i−2i000000
χ3244-44-400400-4004-40000−2i2i−2i2i000000000000000−2i2i000000
χ3344-44-400400-400-4400002i−2i2i−2i000000000000000−2i2i000000
χ3444-44-400400-400-440000−2i2i−2i2i0000000000000002i−2i000000
χ3544-44-400-40044-40000000000002-22-202-200000000000000
χ3644-44-400-40044-4000000000000-22-220-2200000000000000
χ3744-44-400-4004-440000000000002-22-20-2200000000000000
χ3844-44-400-4004-44000000000000-22-2202-200000000000000
χ3944-4-44-440000000000002-2-22002-2-22000002-20000000000
χ4044-4-44-440000000000002-2-2200-222-200000-220000000000
χ4144-4-44-44000000000000-222-2002-2-2200000-220000000000
χ4244-4-44-44000000000000-222-200-222-2000002-20000000000
χ43888-8-8000-88000000000000000000000000000000000000
χ4488-8-888-8000000000000000000000000000000000000000
χ4516-160000000000000000000004-4000000000000000000000
χ4616-16000000000000000000000-44000000000000000000000

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