Finite Group Databasebeta

← Group #72337742

Character table — Group #72337742

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111224444448888161616161616161632323232323232323232323232323232323264646464
order1222222222222222222444444444444444444444448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111
χ511111111111111111-1-11-1-111-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-111-1-111-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ92222222222222222-200-200-2-20000220000-2-20000000000
χ102222222222222222-200-200-2-20000-2-20000220000000000
χ11222222222222-2-2-2-2200-2002-2000000220000-2-200000000
χ12222222222222-2-2-2-2200-2002-2000000-2-200002200000000
χ13222222222222-2-2-2-2-200200-2200220000-2-2000000000000
χ14222222222222-2-2-2-2-200200-2200-2-2000022000000000000
χ1522222222-2-2-2-222-2-2222222-2-2-2-200000000000000000000
χ1622222222-2-2-2-222-2-22-2-22-2-2-2-22200000000000000000000
χ1722222222-2-2-2-222-2-2-200-20022000000000000002i2i−2i−2i0000
χ1822222222-2-2-2-222-2-2-200-2002200000000000000−2i−2i2i2i0000
χ1922222222-2-2-2-2-2-222200-200-22000000000000000000002i−2i
χ2022222222-2-2-2-2-2-222200-200-2200000000000000000000−2i2i
χ2122222222-2-2-2-2-2-222-2002002-20000000000000000002i−2i00
χ2222222222-2-2-2-2-2-222-2002002-2000000000000000000−2i2i00
χ23444444-4-44-4-4400000220-2-2002-200000000000000000000
χ24444444-4-44-4-4400000-2-202200-2200000000000000000000
χ25444444-4-4-444-400000220-2-200-2200000000000000000000
χ26444444-4-4-444-400000-2-2022002-200000000000000000000
χ2744-4-44-40004-4000000000000000002i−2i2i−2i2-2000000000000
χ2844-4-44-40004-4000000000000000002i−2i−2i2i-22000000000000
χ2944-4-44-40004-400000000000000000−2i2i2i−2i-22000000000000
χ3044-4-44-40004-400000000000000000−2i2i−2i2i2-2000000000000
χ3144-4-4-4400-4004000000000000002-20000002-22-200000000
χ3244-4-4-4400-4004000000000000002-2000000-22-2200000000
χ3344-4-4-4400-400400000000000000-220000002-2-2200000000
χ3444-4-4-4400-400400000000000000-22000000-222-200000000
χ358888-8-88-800000000000000000000000000000000000000
χ368888-8-8-8800000000000000000000000000000000000000
χ3788-8-88-8000-8800000000000000000000000000000000000
χ3888-8-8-8800800-80000000000000000000000000000000000
χ398-88-800000000004-400000000000000000000002i−2i2i−2i0000
χ408-88-800000000004-40000000000000000000000−2i2i−2i2i0000
χ418-88-80000000000-4400000000000000000000002-2-220000
χ428-88-80000000000-440000000000000000000000-222-20000
χ438-8-88000000004-40000004-4000000000000000000000000
χ448-8-88000000004-4000000-44000000000000000000000000
χ458-8-8800000000-440004-4000000000000000000000000000
χ468-8-8800000000-44000-44000000000000000000000000000

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