Finite Group Databasebeta

← Group #72255837

Character table — Group #72255837

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222244444444444444222224444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-111-1-1111-1-11111-1-1111-1-1-1111-1-1-1-1-111-1-1-1-11-11-1
χ411111111111111111111-1-1-1-111-1-111-1-1111-1-1-1-111-1-1-1-11-1-1-1111-1-1-1-1-1-1-11111-11-11
χ51111111111111111-1-11111-1-1-1-11111-1-111-1-1-111-1-11-111-11-1-11-1-11111-1111111-1-1-1-1
χ61111111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-11111
χ71111111111111111-1-111-1-111-1-1-1-1111111-11111-1-1-1111-1-1111-1-1-1-1-1-1111-1-1-1-1-11-11
χ81111111111111111-1-111-1-111-1-1-1-1111111-111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-11-1-111111-11-1
χ9111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-111111-11-1-11-111-1-1-1-1-111-1-11-1-11
χ10111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-11-111-1-11-11-1-11-111-1-1-111-1-111-111-1
χ11111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-11111-11-11-1-1-1111-1-1-1-11111-1-1
χ12111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1-11-1-1-1-1-111-11-11-1-1-11111111-1-1-1-111
χ13111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-111-111-1-1-11-1-1111-1-11-1-111-1-1-111-1
χ14111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-1-111-1-1-1-1-1-11-1-1111-1-1111-1-1111-1-11
χ15111111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-111-11-1111-111-1-1-11-1-111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11-11-1-1-111-1-1-11-1-111-11111-1-111-1-1
χ17222222222222222200-2-2220000-2-2-2-200-2-2000000020000-200-200-2-22200000000000
χ18222222222222222200-2-2-2-2000022-2-200-2-20000000-20000200-20022-2-200000000000
χ19222222222222-2-2-2-200-2-2220000222200-2-2000000020000200200-2-2-2-200000000000
χ20222222222222-2-2-2-200-2-2-2-20000-2-22200-2-20000000-20000-200200222200000000000
χ212222222-2-22-2-20000002-22222220000002-220-2000-2-2000000-200-22-20020000000000
χ222222222-2-22-2-20000002-222-2-2-2-20000002-2-2020002-200000020022-200-20000000000
χ232222222-2-22-2-20000002-2-2-222-2-20000002-2-20-200022000000-2002-220020000000000
χ242222222-2-22-2-20000002-2-2-2-2-2220000002-2202000-22000000200-2-2200-20000000000
χ252222222-2-22-2-2000022-22220000000022-220-2000-20-220020-200-20-220000000000000
χ262222222-2-22-2-2000022-22-2-200000000-2-2-2202000-202-20020200-202-20000000000000
χ272222222-2-22-2-20000-2-2-222200000000-2-2-220200020-2-200-2020020-220000000000000
χ282222222-2-22-2-20000-2-2-22-2-20000000022-220-2000202200-20-200202-20000000000000
χ29222222-22-2-22-2000000-2-20000222200-2-222-220000-202000-2-20002002-200000000000
χ30222222-22-2-22-2000000-2-2000022-2-2002222-2-20000-20-200022000200-2200000000000
χ31222222-22-2-22-2000000-2-20000-2-2220022222-2000020-2000-22000-2002-200000000000
χ32222222-22-2-22-2000000-2-20000-2-2-2-200-2-2222200002020002-2000-200-2200000000000
χ33222222-22-2-22-200002222002200-2-20000-2-200200200000-220-20-20002-2-20000000000
χ34222222-22-2-22-20000222200-2-200220000-2-200-200200000-2-2020-2000-2220000000000
χ35222222-22-2-22-20000-2-222002200220000-2-200200-2000002-20-202000-22-20000000000
χ36222222-22-2-22-20000-2-22200-2-200-2-20000-2-200-200-2000002202020002-220000000000
χ37222222-2-22-2-2222-2-2002-20022000022-2-2-220-2-2000002000022-2000000-20000000000
χ38222222-2-22-2-2222-2-2002-200-2-200002222-2202200000-20000-2-2-200000020000000000
χ39222222-2-22-2-2222-2-222-2200002200-2-2002-2-20000-220000-200022-2000000000000000
χ40222222-2-22-2-2222-2-2-2-2-220000-2-200-2-2002-2200002-2000020002-22000000000000000
χ41222222-2-22-2-22-2-222002-200220000-2-222-2202-200000-20000-222000000-20000000000
χ42222222-2-22-2-22-2-222002-200-2-20000-2-2-2-2-220-2200000200002-2200000020000000000
χ43222222-2-22-2-22-2-22222-220000-2-20022002-220000-2-20000-2000-222000000000000000
χ44222222-2-22-2-22-2-222-2-2-220000220022002-2-200002200002000-2-2-2000000000000000
χ454444-4-40400-40000000000000004i−4i000000000220000-2-200000000000000002i−2i0000
χ464444-4-40400-40000000000000004i−4i000000000-2-20000220000000000000000−2i2i0000
χ474444-4-40400-4000000000000000−4i4i000000000220000-2-20000000000000000−2i2i0000
χ484444-4-40400-4000000000000000−4i4i000000000-2-200002200000000000000002i−2i0000
χ4944-4-44-4400-400000000004i−4i0000000000000002-200002-2000000000000002i−2i000000
χ5044-4-44-4400-400000000004i−4i000000000000000-220000-2200000000000000−2i2i000000
χ5144-4-44-4400-40000000000−4i4i0000000000000002-200002-200000000000000−2i2i000000
χ5244-4-44-4400-40000000000−4i4i000000000000000-220000-22000000000000002i−2i000000
χ5344-4-4-4400-400400000000000000004-400000002-20000-220000000000002-200000000
χ5444-4-4-4400-400400000000000000004-40000000-2200002-2000000000000-2200000000
χ5544-4-4-4400-40040000000000000000-4400000002-20000-22000000000000-2200000000
χ5644-4-4-4400-40040000000000000000-440000000-2200002-20000000000002-200000000
χ578888-8-80-800800000000000000000000000000000000000000000000000000000000
χ5888-8-88-8-8008000000000000000000000000000000000000000000000000000000000
χ5988-8-8-8800800-80000000000000000000000000000000000000000000000000000000
χ608-88-800000000004-40000004-40000004-400000000000000000000000000000000000
χ618-88-800000000004-4000000-44000000-4400000000000000000000000000000000000
χ628-88-80000000000-440000004-4000000-4400000000000000000000000000000000000
χ638-88-80000000000-44000000-440000004-400000000000000000000000000000000000
χ648-8-88000000004-4004-40000004-400000000000000000000000000000000000000000
χ658-8-88000000004-400-44000000-4400000000000000000000000000000000000000000
χ668-8-8800000000-44004-4000000-4400000000000000000000000000000000000000000
χ678-8-8800000000-4400-440000004-400000000000000000000000000000000000000000

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