Finite Group Databasebeta

← Group #72285201

Character table — Group #72285201

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222444444888816161616161616161616161616163232323232323232323232646464646464
order1222222444422442224444444888824444444488448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1111111111-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-111111-1-1-1-111111-1-111-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-11111-1-1
χ92222222222222-2-22222200-2-2-2000000000-2-20000000000
χ102222222222222-2-22-2-2-2-200-2-2-2000000000220000000000
χ1122222222222-2-222-20000002-2-22222000000000-2-2000000
χ1222222222222-2-222-20000002-2-2-2-2-2-200000000022000000
χ1322222222222-2-2-2-2-2000000-22200002200000-2-200000000
χ1422222222222-2-2-2-2-2000000-2220000-2-2000002200000000
χ152222222-2-2-2-22222-2000000-22-20000000000000002-20000
χ162222222-2-2-2-22222-2000000-22-2000000000000000-220000
χ172222222-2-2-2-222-2-2-20000222-220000002-2-2000000000000
χ182222222-2-2-2-222-2-2-20000-2-22-22000000-222000000000000
χ192222222-2-2-2-2-2-2222000000-2-2200000000000000000002-2
χ202222222-2-2-2-2-2-2222000000-2-220000000000000000000-22
χ212222222-2-2-2-2-2-2-2-2200000022-2000000000000000002i−2i00
χ222222222-2-2-2-2-2-2-2-2200000022-200000000000000000−2i2i00
χ2344444-4-44-44-400000000022000000000-22-2000000000000
χ2444444-4-44-44-4000000000-2-20000000002-22000000000000
χ2544444-4-4-44-4400000000022000000000-2-22000000000000
χ2644444-4-4-44-44000000000-2-200000000022-2000000000000
χ27444-4-44-40000004i−4i022-2-2000000000000002i−2i0000000000
χ28444-4-44-40000004i−4i0-2-22200000000000000−2i2i0000000000
χ29444-4-44-4000000−4i4i022-2-200000000000000−2i2i0000000000
χ30444-4-44-4000000−4i4i0-2-222000000000000002i−2i0000000000
χ31444-4-4-4400004-400000000000022-2-20000000002-2000000
χ32444-4-4-4400004-4000000000000-2-222000000000-22000000
χ33444-4-4-440000-4400000000000022-2-2000000000-22000000
χ34444-4-4-440000-44000000000000-2-2220000000002-2000000
χ3544-44-4000-404000002-22-2000002-22-22-2000000000000000
χ3644-44-4000-404000002-22-200000-22-22-22000000000000000
χ3744-44-4000-40400000-22-22000002-22-2-22000000000000000
χ3844-44-4000-40400000-22-2200000-22-222-2000000000000000
χ3944-4-4400-4040000002-2-22000002-2-2200000002-200000000
χ4044-4-4400-4040000002-2-2200000-222-20000000-2200000000
χ4144-4-4400-404000000-222-2000002-2-220000000-2200000000
χ4244-4-4400-404000000-222-200000-222-200000002-200000000
χ4388-88-800080-800000000000000000000000000000000000
χ4488-8-880080-8000000000000000000000000000000000000
χ4516-160000000000000000004i−4i000000000000000000000000
χ4616-16000000000000000000−4i4i000000000000000000000000

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