Finite Group Databasebeta

← Group #72338711

Character table — Group #72338711

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111222244444444444888888888888888888888161616161616161616161616161616161616161616163232323232323232646464
order1222224422224444444222222224444444444444222244444444444444888844888888448
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111111111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1
χ41111111111111111111111111-1-11111111111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11
χ6111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-111-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-11
χ911111111111111-1-1-1-11-1-111-1-11111-1-1-1-111-1-111111-1-11-111-1-11-1-1-111-1-1111111-1-111-1-11-1-1
χ1011111111111111-1-1-1-11-1-111-1-11111-1-1-1-111-1-111111-1-11-111-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111-111
χ1111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-1111-111-1-1111111-1-1-1-111-1-1-111
χ1211111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-1-1-1111-111-1-111-1-1-1-11111-1-1111-1-1
χ1311111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111111-1-11-1-1-111-11-1-1-1-111111111-1-1-1-111-11-1
χ1411111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111111-1-11-1-1-111-11-1-1-1-111-1-1-1-1-1-11111-1-11-11
χ1511111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-111111-1-11111-1-1-1-1-1-1111-11
χ1611111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-111111-1-1-1-1-1-1111111-1-1-11-1
χ17222222222-22-2-220000-20000222200220000-2-22-2-22-200-2000220-20000-2-2000000000000000
χ18222222222-22-2-220000-2000022-2-200220000-2-22-2-2-22002000-2-20-2000022000000000000000
χ19222222222-22-2-220000-20000-2-22200-2-20000222-2-22-200-2000-2-202000022000000000000000
χ20222222222-22-2-220000-20000-2-2-2-200-2-20000222-2-2-2200200022020000-2-2000000000000000
χ2122222222-22-22-220000-200220022220000-2-200-22-2-2200-202200-2000-2-200000000000000000
χ2222222222-22-22-220000-2002200-2-2220000-2-200-22-22-20020-2-200-20002200000000000000000
χ2322222222-22-22-220000-200-2-20022-2-200002200-22-2-2200-20-2-20020002200000000000000000
χ2422222222-22-22-220000-200-2-200-2-2-2-200002200-22-22-2002022002000-2-200000000000000000
χ2522222222-2-2-2-22222222-2-20000220000220000-2-22-2-2-2-22-2000000220000000000000000000
χ2622222222-2-2-2-22222222-2-20000-2-20000220000-2-222222-2-2000000-2-20000000000000000000
χ2722222222-2-2-2-222-2-2-2-22220000220000-2-20000-2-22-2-22222000000-2-20000000000000000000
χ2822222222-2-2-2-222-2-2-2-22220000-2-20000-2-20000-2-2222-2-2-22000000220000000000000000000
χ29222222-2-222222-22222222222200-2-2-2-2-2-2-2-2-2-2-2-2-200000-2000022000000000000000000000
χ30222222-2-222222-22222222-2-2-2-2002222-2-22222-2-2-200000-20000-2-2000000000000000000000
χ31222222-2-222222-2-2-2-2-22-2-222-2-200-2-22222-2-222-2-2-200000200002-2000000000000000000000
χ32222222-2-222222-2-2-2-2-22-2-2-2-2220022-2-22222-2-2-2-2-20000020000-22000000000000000000000
χ33222222-2-22-22-2-2-20000-20000220000-2-2000022-222002-2002-2000-22-22-200000000000000000
χ34222222-2-22-22-2-2-20000-20000220000-2-2000022-22200-2200-22000-2-22-2200000000000000000
χ35222222-2-22-22-2-2-20000-20000-2-20000220000-2-2-222002-200-2200022-2-2200000000000000000
χ36222222-2-22-22-2-2-20000-20000-2-20000220000-2-2-22200-22002-20002-222-200000000000000000
χ37222222-2-2-22-22-2-20000-200220000-2-2000022002-22002-200002-2-20-22002-2000000000000000
χ38222222-2-2-22-22-2-20000-200220000-2-2000022002-2200-220000-22-202-200-22000000000000000
χ39222222-2-2-22-22-2-20000-200-2-20000220000-2-2002-22002-20000-2220-2200-22000000000000000
χ40222222-2-2-22-22-2-20000-200-2-20000220000-2-2002-2200-2200002-2202-2002-2000000000000000
χ41222222-2-2-2-2-2-22-222222-2-20000000000-2-2000022-20000022-2-220000-222-2000000000000000
χ42222222-2-2-2-2-2-22-222222-2-20000000000-2-2000022-2000002-222-200002-2-22000000000000000
χ43222222-2-2-2-2-2-22-2-2-2-2-2222000000000022000022-200000-22-22-20000-22-22000000000000000
χ44222222-2-2-2-2-2-22-2-2-2-2-2222000000000022000022-200000-2-22-2200002-22-2000000000000000
χ4522-2-22-200-2-2222022-2-2-22-20000002i−2i2i−2i002i−2i2i−2i000000000000000000000i2i2−i2−i200i2−i22−22−2000
χ4622-2-22-200-2-2222022-2-2-22-20000002i−2i2i−2i002i−2i2i−2i000000000000000000000−i2−i2i2i200−i2i2−22−22000
χ4722-2-22-200-2-2222022-2-2-22-2000000−2i2i−2i2i00−2i2i−2i2i000000000000000000000i2i2−i2−i200i2−i2−22−22000
χ4822-2-22-200-2-2222022-2-2-22-2000000−2i2i−2i2i00−2i2i−2i2i000000000000000000000−i2−i2i2i200−i2i22−22−2000
χ4922-2-22-200-2-22220-2-222-2-220000002i−2i−2i2i002i−2i−2i2i000000000000000000000i2i2−i2−i200−i2i22−2−22000
χ5022-2-22-200-2-22220-2-222-2-220000002i−2i−2i2i002i−2i−2i2i000000000000000000000−i2−i2i2i200i2−i2−222−2000
χ5122-2-22-200-2-22220-2-222-2-22000000−2i2i2i−2i00−2i2i2i−2i000000000000000000000i2i2−i2−i200−i2i2−222−2000
χ5222-2-22-200-2-22220-2-222-2-22000000−2i2i2i−2i00−2i2i2i−2i000000000000000000000−i2−i2i2i200i2−i22−2−22000
χ534444-4-44400000-4000000000004-400000000000000000000000000000002-22-22-2000000000
χ544444-4-44400000-4000000000004-40000000000000000000000000000000-22-22-22000000000
χ554444-4-44400000-400000000000-4400000000000000000000000000000002-22-2-22000000000
χ564444-4-44400000-400000000000-440000000000000000000000000000000-22-222-2000000000
χ5744-4-44-40044-4-44044-4-4-4-440000000000000000000000000000000000000000000000000000
χ5844-4-44-40044-4-440-4-444-44-40000000000000000000000000000000000000000000000000000
χ5944-4-44-4004-4-44-4000004000000004i−4i0000−4i4i00000000000000000000000000000000000000
χ6044-4-44-4004-4-44-400000400000000−4i4i00004i−4i00000000000000000000000000000000000000
χ6144-4-44-400-444-4-400000400000000004i−4i0000−4i4i000000000000000000000000000000000000
χ6244-4-44-400-444-4-40000040000000000−4i4i00004i−4i000000000000000000000000000000000000
χ638888-8-8-8-800000800000000000000000000000000000000000000000000000000000000000
χ6488-8-8-8800000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ6588-8-8-880000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ668-88-800000000004-44-40004-44-4000000000000000000000000000000000000000000000000
χ678-88-800000000004-44-4000-44-44000000000000000000000000000000000000000000000000
χ688-88-80000000000-44-440004-4-44000000000000000000000000000000000000000000000000
χ698-88-80000000000-44-44000-444-4000000000000000000000000000000000000000000000000
χ708-8-88008-80000004-4-4400000000000004-40000000000000000000000000000000000000000
χ718-8-88008-8000000-444-40000000000000-440000000000000000000000000000000000000000
χ728-8-8800-880000004-4-440000000000000-440000000000000000000000000000000000000000
χ738-8-8800-88000000-444-400000000000004-40000000000000000000000000000000000000000

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