Finite Group Databasebeta

← Group #72285589

Character table — Group #72285589

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size111122444444444488888888888888881616161616161616161616161616161616161616161616161632323232323264646464
order1222222244444444222222222222224422444444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-11111-1-111-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111111111-1-1-1-11111-1-11111-1-111-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111-1-1-1-11111-1-11111-1-111-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-11111-1-1
χ71111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111
χ91111111111-1-1-1-11111-1-111-1-1111111-1-1-1-111-11-11111-111-1-111-1-111-1-1-1-1-1-1-1111-11-1
χ101111111111-1-1-1-11111-1-111-1-1111111-1-1-1-111-11-1-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-11-11
χ111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-11-1-111111-111-1-1-1-111-1-111111-1-1-1-11-1-11
χ121111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-11-1-11-1-1-1-1-111-1-1-1-111-1-1111-1-11111-111-1
χ131111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-11111-1-1-11111-1-1-1-111111-1-1-1-1-111-1
χ141111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-11
χ151111111111-1-1-1-111-1-111-1-111111111-1-1-1-11-11-111111-1-1-111-1-11111-1-1-1-1-1-1-111-11-11
χ161111111111-1-1-1-111-1-111-1-111111111-1-1-1-11-11-11-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11-11-1
χ1722222222222222220000000022-2-2-2-222-2-2200000000200000000-2-22-2-20000000000
χ18222222222222222200000000-2-2-2-2-2-2-2-2-2-2-20000000020000000022-2220000000000
χ192222222222-2-2-2-2220000000022-2-2-2-2-2-222200000000-200000000-2-2-2220000000000
χ202222222222-2-2-2-22200000000-2-2-2-2-2-22222-200000000-200000000222-2-20000000000
χ2122222222-2-20000-2-2002222000022-2-2-2-200002200000000-2-2-2-2000022-20000000000
χ2222222222-2-20000-2-20022-2-2000022-2-22200002-200000000-2-2220000-2-220000000000
χ2322222222-2-20000-2-200-2-222000022-2-2220000-220000000022-2-20000-2-220000000000
χ2422222222-2-20000-2-200-2-2-2-2000022-2-2-2-20000-2-2000000002222000022-20000000000
χ2522222222-2-20000-2-22200002200-2-222-2-2000200200000-2-20000-2-2002-220000000000
χ2622222222-2-20000-2-2220000-2-200-2-22222000200-200000-2-200002200-22-20000000000
χ2722222222-2-20000-2-2-2-200002200-2-22222000-200200000220000-2-200-22-20000000000
χ2822222222-2-20000-2-2-2-20000-2-200-2-222-2-2000-200-20000022000022002-220000000000
χ29222222-2-22-200002-200220022222-22-20000-20-20-200000002-2002-22-20000000000000
χ30222222-2-22-200002-2002200-2-2-2-22-22-2000020-20200000002-200-22-220000000000000
χ31222222-2-22-200002-200-2-20022-2-22-22-200002020-20000000-22002-2-220000000000000
χ32222222-2-22-200002-200-2-200-2-2222-22-20000-202020000000-2200-222-20000000000000
χ33222222-2-22-200002-22200220022-22-220000-2-20-20000002-2002-200-220000000000000
χ34222222-2-22-200002-22200-2-200-2-2-22-2200002-2020000002-200-22002-20000000000000
χ35222222-2-22-200002-2-2-2002200-2-2-22-220000220-2000000-22002-2002-20000000000000
χ36222222-2-22-200002-2-2-200-2-20022-22-220000-2202000000-2200-2200-220000000000000
χ37222222-2-2-222222-220000222200-222-2002-2000-2-20000-20000-22-22000000000000000
χ38222222-2-2-222222-220000-2-2-2-200-222-2002-2000220000-200002-22-2000000000000000
χ39222222-2-2-222222-2222220000002-2-2200-220-2-2000000-2-22-220000000000000000000
χ40222222-2-2-222222-22-2-2-2-20000002-2-2200-22022000000-22-22-20000000000000000000
χ41222222-2-2-22-2-2-2-2-22000022-2-200-222-200-22000-22000020000-222-2000000000000000
χ42222222-2-2-22-2-2-2-2-220000-2-22200-222-200-220002-20000200002-2-22000000000000000
χ43222222-2-2-22-2-2-2-2-2222-2-20000002-2-22002-20-220000002-222-20000000000000000000
χ44222222-2-2-22-2-2-2-2-22-2-2220000002-2-22002-202-200000022-2-220000000000000000000
χ454444-4-44-400000000000000000000004i−4i000000022-2-2000000000000002i−2i00000000
χ464444-4-44-400000000000000000000004i−4i0000000-2-22200000000000000−2i2i00000000
χ474444-4-44-40000000000000000000000−4i4i000000022-2-200000000000000−2i2i00000000
χ484444-4-44-40000000000000000000000−4i4i0000000-2-222000000000000002i−2i00000000
χ4944-4-44-4000444-4-40-4000000000000000000000002i−2i2i−2i00000000000000002i−2i000000
χ5044-4-44-4000444-4-40-400000000000000000000000−2i2i−2i2i0000000000000000−2i2i000000
χ5144-4-44-40004-4-4440-4000000000000000000000002i−2i2i−2i0000000000000000−2i2i000000
χ5244-4-44-40004-4-4440-400000000000000000000000−2i2i−2i2i00000000000000002i−2i000000
χ5344-4-4-4400400000-40000000004-400000000000002i−2i−2i2i0000000000000000002i−2i0000
χ5444-4-4-4400400000-40000000004-40000000000000−2i2i2i−2i000000000000000000−2i2i0000
χ5544-4-4-4400400000-4000000000-4400000000000002i−2i−2i2i000000000000000000−2i2i0000
χ5644-4-4-4400400000-4000000000-440000000000000−2i2i2i−2i0000000000000000002i−2i0000
χ578888-8-8-8800000000000000000000000000000000000000000000000000000000000
χ5888-8-88-8000-8000008000000000000000000000000000000000000000000000000000
χ5988-8-8-8800-80000080000000000000000000000000000000000000000000000000000
χ608-88-80000004-44-40000004-44-40000000000000000000000000000000000000000000
χ618-88-80000004-44-4000000-44-440000000000000000000000000000000000000000000
χ628-88-8000000-44-440000004-4-440000000000000000000000000000000000000000000
χ638-88-8000000-44-44000000-444-40000000000000000000000000000000000000000000
χ648-8-880000004-4-44004-44-400000000000000000000000000000000000000000000000
χ658-8-880000004-4-4400-44-4400000000000000000000000000000000000000000000000
χ668-8-88000000-444-4004-4-4400000000000000000000000000000000000000000000000
χ678-8-88000000-444-400-444-400000000000000000000000000000000000000000000000

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