Finite Group Databasebeta

← Group #72283234

Character table — Group #72283234

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444444488888888888888888161616161616161616161616161616161616161616161616163232323232323232646464
order1222222222444422444444444444444222444444444444444444888824888888448
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111-1-1-1-11-111-1-11-1-1-1111-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1111-1-1-1-11-111-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111-1-1-1-1-1-111111111-1-11-11-1-1-1-111-1-11-1-111-1-11111-1-111-1-1-1-1-111
χ6111111111111111111-1-1-1-1-1-111111111-1-11-11-1-1-1-111-1-11-1-111-1-1-1-1-1-111-1-111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1111-1111-1-1-1-1111111-1-1111111-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1111-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ911111111111111-1-1-1-11111-1-111-1-1111-11-1-1111-11-1-1-11-1-1-1-1111-1111111-1-111-1-1-1-11
χ1011111111111111-1-1-1-11111-1-111-1-1111-11-1-1111-11-1-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1
χ1111111111111111-1-1-1-11111-1-1-1-1111111-1111-11-1-11-11-11-1-1-1-1-1-11111111-1-1-1-111-11-1
χ1211111111111111-1-1-1-11111-1-1-1-1111111-1111-11-1-11-11-11-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-11-11-11-1-1-11-11111-111111-1-1-1-1-1-1111-11
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-11-11-11-1-1-11-11111-11-1-1-1-1111111-1-1-11-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-11111111-11-1-1-111-1-111-1-111-1-11-11111-1-1-1-111-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-11111111-11-1-1-111-1-111-1-111-1-11-1-1-1-1-11111-1-111-1-11
χ1722222222222-22-222-2-20000000000-2-2-202-200000-22202-2-20000-22000000000000000
χ1822222222222-22-222-2-20000000000-2-2-20-22000002-220-22-200002-2000000000000000
χ1922222222222-22-2-2-2220000000000-2-2-202200000-2-2-202220000-2-2000000000000000
χ2022222222222-22-2-2-2220000000000-2-2-20-2-20000022-20-2-22000022000000000000000
χ212222222-22-2-22-22000022-2-20000222-2-2-202-2-202002020-2000000-2000000000000000
χ222222222-22-2-22-22000022-2-20000-2-22-2-220-22-20200-20-2020000002000000000000000
χ232222222-22-2-22-220000-2-2220000222-2-2-20-2-220-200-202020000002000000000000000
χ242222222-22-2-22-220000-2-2220000-2-22-2-2202220-20020-20-2000000-2000000000000000
χ252222222-22-2-2-2-2-200000000222200-22200200-20-20-2000-202-22-202000000000000000
χ262222222-22-2-2-2-2-20000000022-2-200-22200-20020-202000202-2-220-2000000000000000
χ272222222-22-2-2-2-2-200000000-2-22200-22200-200-2020200020-222-20-2000000000000000
χ282222222-22-2-2-2-2-200000000-2-2-2-200-222002002020-2000-20-22-2202000000000000000
χ29222222-22-22-22-2222222222220000-22-20000-20-2200-2000-2-2-20000000000000000000
χ30222222-22-22-22-222222-2-2-2-2-2-20000-22-20000202-200-2000-2220000000000000000000
χ31222222-22-22-22-22-2-2-2-22222-2-20000-22-20000-20-2-20020002220000000000000000000
χ32222222-22-22-22-22-2-2-2-2-2-2-2-2220000-22-2000020220020002-2-20000000000000000000
χ33222222-22-22-2-2-2-222-2-200000022222-22200-20-20000-2-200200-2200000000000000000
χ34222222-22-22-2-2-2-222-2-2000000-2-2-2-22-22-2002020000-22002002-200000000000000000
χ35222222-22-22-2-2-2-2-2-22200000022-2-22-22-20020-200002200-200-2200000000000000000
χ36222222-22-22-2-2-2-2-2-222000000-2-2222-22200-20200002-200-2002-200000000000000000
χ37222222-2-2-2-22222000022-2-2002200-2-220-20022-20-200020000-2-220000000000000000
χ38222222-2-2-2-22222000022-2-200-2-200-2-2202002-2-202000-2000022-20000000000000000
χ39222222-2-2-2-222220000-2-222002200-2-220200-22202000-20000-2-2-20000000000000000
χ40222222-2-2-2-222220000-2-22200-2-200-2-220-200-2-220-2000200002220000000000000000
χ41222222-2-2-2-22-22-20000000022002222-2-2202000-2-200-2-200-220020000000000000000
χ42222222-2-2-2-22-22-2000000002200-2-222-22-20-2000-22002200-2200-20000000000000000
χ43222222-2-2-2-22-22-200000000-2-2002222-2-2-2020002200-22002-200-20000000000000000
χ44222222-2-2-2-22-22-200000000-2-200-2-222-2220-20002-2002-2002-20020000000000000000
χ454444-4-400000-4040000004-400000000000000000000000000000022-2-22-2000000000
χ464444-4-400000-4040000004-4000000000000000000000000000000-2-222-22000000000
χ474444-4-400000-404000000-4400000000000000000000000000000022-2-2-22000000000
χ484444-4-400000-404000000-44000000000000000000000000000000-2-2222-2000000000
χ4944-4-44-444-4-440-4000000000000000000000000000000000000000000000000022−22000
χ5044-4-44-444-4-440-40000000000000000000000000000000000000000000000000−2222000
χ5144-4-44-44-4-44-4040000000000000000000000000000000000000002i2−2i22i2−2i200000000000
χ5244-4-44-44-4-44-404000000000000000000000000000000000000000−2i22i2−2i22i200000000000
χ5344-4-44-4-444-4-404000000000000000000000000000000000000000000000002i2−2i200000
χ5444-4-44-4-444-4-40400000000000000000000000000000000000000000000000−2i22i200000
χ5544-4-44-4-4-44440-40000000000000000000000000000000000000000000002i2−2i20000000
χ5644-4-44-4-4-44440-4000000000000000000000000000000000000000000000−2i22i20000000
χ578888-8-80000080-800000000000000000000000000000000000000000000000000000
χ5888-8-8-8800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ5988-8-8-880000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ608-88-80000000000004-44i−4i004i−4i0000000000000000000000000000000000000000000
χ618-88-80000000000004-4−4i4i00−4i4i0000000000000000000000000000000000000000000
χ628-88-8000000000000-444i−4i00−4i4i0000000000000000000000000000000000000000000
χ638-88-8000000000000-44−4i4i004i−4i0000000000000000000000000000000000000000000
χ648-8-8800000000004-4000000004-44-4000000000000000000000000000000000000000
χ658-8-8800000000004-400000000-44-44000000000000000000000000000000000000000
χ668-8-880000000000-44000000004-4-44000000000000000000000000000000000000000
χ678-8-880000000000-4400000000-444-4000000000000000000000000000000000000000

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