Finite Group Databasebeta

← Group #72265982

Character table — Group #72265982

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1111224444448888888888161616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222244444444222222244444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-11-1
χ61111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11-1
χ911111111111111-1-111-1-111-11-11-1111-11-11111-1-11-1-1-111-1-111-1-1-1-111-1-11-1-11
χ1011111111111111-1-111-1-111-11-11-1-1-11-11-111-1-1-1-11-1-1-111-1-111-1-111-1-111-111-1
χ1111111111111111-1-111-1-111-1-11-1111-11-111111-1-11-1-1-1-1-111-1-111-1-111-1-1-111-1
χ1211111111111111-1-111-1-111-1-11-11-1-1-11-1111-1-1-1-11-1-1-1-1-111-1-11111-1-1111-1-11
χ1311111111111111-1-1-1-11111-11-1-11111-1-11-1-111-1-1-111111-1-1-1-111-1-1-1-11111-1-1
χ1411111111111111-1-1-1-11111-11-1-11-1-11-1-11-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-111
χ1511111111111111-1-1-1-11111-1-111-111-111-1-1-111-1-1-1111-1-11111-1-1-1-1-1-111-1-111
χ1611111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-111-1-1
χ17222222222222-2-2222222-2-220000000000-2-200-2-222-2-2000000000000000000
χ18222222222222-2-222-2-2-2-2-2-2200000000002200-2-2-2-222000000000000000000
χ19222222222222-2-2-2-222-2-2-2-2-20000000000-2-200222-222000000000000000000
χ20222222222222-2-2-2-2-2-222-2-2-20000000000220022-22-2-2000000000000000000
χ212222222-2-22-2-222000022-2-20200-200200-20000000-22-2-2-20000220000000000
χ222222222-2-22-2-222000022-2-20-200200-20020000000-22-2220000-2-20000000000
χ232222222-2-22-2-2220000-2-2-2-20200200200200000002-22-2-20000-2-20000000000
χ242222222-2-22-2-2220000-2-2-2-20-200-200-200-200000002-22220000220000000000
χ252222222-2-22-2-2-2-200002222002-200002-200000000-2-2200-2-222000000000000
χ262222222-2-22-2-2-2-20000222200-220000-2200000000-2-220022-2-2000000000000
χ272222222-2-22-2-2-2-20000-2-22200220000220000000022-200-2-2-2-2000000000000
χ282222222-2-22-2-2-2-20000-2-22200-2-20000-2-20000000022-2002222000000000000
χ29222222-22-2-22-22-20022002-200202000-20-22-20000-2000002-2002-20000000000
χ30222222-22-2-22-22-20022002-200-20-20002022-20000-200000-2200-220000000000
χ31222222-22-2-22-22-200-2-2002-20020-2000-202-2200002000002-200-220000000000
χ32222222-22-2-22-22-200-2-2002-200-20200020-2-220000200000-22002-20000000000
χ33222222-22-2-22-2-22002200-220202000-20-20-220000-20002-2002-2000000000000
χ34222222-22-2-22-2-22002200-220-20-20002020-220000-2000-2200-22000000000000
χ35222222-22-2-22-2-2200-2-200-22020-2000-20202-2000020002-200-22000000000000
χ36222222-22-2-22-2-2200-2-200-220-20200020-202-200002000-22002-2000000000000
χ37222222-2-22-2-222-2220000-22-200220000-2-200002-200000000-22-220000000000
χ38222222-2-22-2-222-2220000-22-200-2-200002200002-2000000002-22-20000000000
χ39222222-2-22-2-222-2-2-20000-222002-20000-220000-2200000000-222-20000000000
χ40222222-2-22-2-222-2-2-20000-22200-2200002-20000-22000000002-2-220000000000
χ41222222-2-22-2-22-222200002-2-2220000-2-2000000-220000-22-2200000000000000
χ42222222-2-22-2-22-222200002-2-2-2-2000022000000-2200002-22-200000000000000
χ43222222-2-22-2-22-22-2-200002-222-20000-220000002-20000-222-200000000000000
χ44222222-2-22-2-22-22-2-200002-22-2200002-20000002-200002-2-2200000000000000
χ454444-4-4400-4000000004i−4i000000022000000-2-20000000000000000002i−2i0000
χ464444-4-4400-4000000004i−4i0000000-2-200000022000000000000000000−2i2i0000
χ474444-4-4400-400000000−4i4i000000022000000-2-2000000000000000000−2i2i0000
χ484444-4-4400-400000000−4i4i0000000-2-2000000220000000000000000002i−2i0000
χ494-4-444-400-4004004-4000000000002-20000002-2000000000000002-200000000
χ504-4-444-400-4004004-400000000000-22000000-2200000000000000-2200000000
χ514-4-444-400-400400-44000000000002-20000002-200000000000000-2200000000
χ524-4-444-400-400400-4400000000000-22000000-22000000000000002-200000000
χ534-4-44-440-4004000004-40000000002-2000000-2200000000000000002-2000000
χ544-4-44-440-4004000004-4000000000-220000002-20000000000000000-22000000
χ554-4-44-440-400400000-440000000002-2000000-220000000000000000-22000000
χ564-4-44-440-400400000-44000000000-220000002-200000000000000002-2000000
χ578888-8-8-8008000000000000000000000000000000000000000000000000000
χ588-8-888-800800-80000000000000000000000000000000000000000000000000
χ598-8-88-880800-800000000000000000000000000000000000000000000000000
χ601616-16-16000000000000000000000000000000000000000000000000000000000
χ6116-1616-16000000000000000000000000000000000000000000000000000000000

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