Finite Group Databasebeta

← Group #72266139

Character table — Group #72266139

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size111111114444444444444488888888888888888888881616161616161616161616161616161616161616163232323232323232323232323232
order1222222222222222222222222222222222224444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-111111-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-1-1-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111111111-1-1-1-1
χ91111111111111111111111-1-111-1-111-1-111-1-111111111-1-1-1111-1-1111-1-111-1-1-1-1-11-1-111-1-111-1-111-1-1
χ101111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-1111-1-111-1-111-1-111
χ111111111111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1111-1-1-1-1-111-1-1111-11-1-1-111-1-1-1-111-1-111
χ121111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1111-11-111-1-11111-1-111-1-1
χ131111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-1-11111-1-1-1111-1-1-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2222-2-2-2-20000220022220000000000000000-2-2000-2-2-2-200022200000000000000
χ1822222222222-2-2-2-2222-2-2-2-200002200-2-2-2-20000000000000000-2-200022220002-2-200000000000000
χ1922222222222-2-2-2-2222-2-2-2-20000-2-20022-2-2000000000000000022000-2-222000-22-200000000000000
χ2022222222222-2-2-2-2222-2-2-2-20000-2-200-2-22200000000000000002200022-2-2000-2-2200000000000000
χ21222222222-2-222-2-22-2-222-2-200002222000022000000000000002-22-2-200002-2-2-20000000000000000
χ22222222222-2-222-2-22-2-222-2-2000022-2-20000-2-2000000000000002-2-2220000-222-20000000000000000
χ23222222222-2-222-2-22-2-222-2-20000-2-2220000-2-200000000000000-222-2-20000-22220000000000000000
χ24222222222-2-222-2-22-2-222-2-20000-2-2-2-200002200000000000000-22-22200002-2-220000000000000000
χ25222222222-2-2-2-2222-2-2-2-22222222200000000000000002-2-22-2-2-220000000000-20000000000000000
χ26222222222-2-2-2-2222-2-2-2-22222-2-2-2-200000000000000002-2-2-2222-2000000000020000000000000000
χ27222222222-2-2-2-2222-2-2-2-222-2-222-2-20000000000000000-2222-2-22-2000000000020000000000000000
χ28222222222-2-2-2-2222-2-2-2-222-2-2-2-2220000000000000000-222-222-220000000000-20000000000000000
χ2922222222-22-22-22-2-22-22-22-20022000022002200000000000-22-2000002-200-22-20-2000000000000000
χ3022222222-22-22-22-2-22-22-22-200220000-2-200-2-200000000000-22-200000-22002-2202000000000000000
χ3122222222-22-22-22-2-22-22-22-200-2-200002200-2-2000000000002-22000002-2002-220-2000000000000000
χ3222222222-22-22-22-2-22-22-22-200-2-20000-2-20022000000000002-2200000-2200-22-202000000000000000
χ3322222222-22-2-22-22-22-2-22-222200002222000000000000-22-200000-22-2-22000000-2000000000000000
χ3422222222-22-2-22-22-22-2-22-22220000-2-2-2-2000000000000-22-2000002-222-20000002000000000000000
χ3522222222-22-2-22-22-22-2-22-22-2-2000022-2-20000000000002-2200000-22-22-20000002000000000000000
χ3622222222-22-2-22-22-22-2-22-22-2-20000-2-2220000000000002-22000002-22-22000000-2000000000000000
χ3722222222-2-222-2-22-2-222-2-222200000000222200000000-2-2200000000002-2-2-2200-200000000000000
χ3822222222-2-222-2-22-2-222-2-222200000000-2-2-2-200000000-2-220000000000-2222-200200000000000000
χ3922222222-2-222-2-22-2-222-2-22-2-20000000022-2-20000000022-200000000002-222-200-200000000000000
χ4022222222-2-222-2-22-2-222-2-22-2-200000000-2-2220000000022-20000000000-22-2-2200200000000000000
χ4122222222-2-22-222-2-2-22-222-20022002200220000000000000-2-2200-2-2200-2200000-200000000000000
χ4222222222-2-22-222-2-2-22-222-2002200-2-200-2-20000000000000-2-220022-2002-200000200000000000000
χ4322222222-2-22-222-2-2-22-222-200-2-2002200-2-2000000000000022-200-2-22002-200000200000000000000
χ4422222222-2-22-222-2-2-22-222-200-2-200-2-20022000000000000022-20022-200-2200000-200000000000000
χ454444-4-4-4-40000004000000-44-40000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000002i−2i000000000000
χ464444-4-4-4-40000004000000-44-4000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000−2i2i000000000000
χ474444-4-4-4-40000004000000-4-440000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000−2i2i000000000000
χ484444-4-4-4-40000004000000-4-44000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000002i−2i000000000000
χ4944-4-444-4-4000004000000-40004-400000000002i2i−2i−2i2i2i−2i−2i000000000000000000000002i−2i0000000000
χ5044-4-444-4-4000004000000-40004-40000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000−2i2i0000000000
χ5144-4-444-4-4000004000000-4000-4400000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000−2i2i0000000000
χ5244-4-444-4-4000004000000-4000-440000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000002i−2i0000000000
χ5344-4-4-4-444-4000000400000000004-40000000022-2-2-2-22200000000000000000000000002-200000000
χ5444-4-4-4-444-4000000400000000004-400000000-2-22222-2-20000000000000000000000000-2200000000
χ5544-4-4-4-444-400000040000000000-440000000022-2-2-2-2220000000000000000000000000-2200000000
χ5644-4-4-4-444-400000040000000000-4400000000-2-22222-2-200000000000000000000000002-200000000
χ574-44-44-44-400004000000-4000000004-40000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000002i−2i000000
χ584-44-44-44-400004000000-4000000004-4000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000−2i2i000000
χ594-44-44-44-400004000000-400000000-440000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000−2i2i000000
χ604-44-44-44-400004000000-400000000-44000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000002i−2i000000
χ614-44-4-44-440-4000000400000000000004-400002-22-2-22-22000000000000000000000000000002-20000
χ624-44-4-44-440-4000000400000000000004-40000-22-222-22-200000000000000000000000000000-220000
χ634-44-4-44-440-400000040000000000000-4400002-22-2-22-2200000000000000000000000000000-220000
χ644-44-4-44-440-400000040000000000000-440000-22-222-22-2000000000000000000000000000002-20000
χ654-4-444-4-4400-40000004000000000000004-4002-2-222-2-2200000000000000000000000000000002-200
χ664-4-444-4-4400-40000004000000000000004-400-222-2-222-20000000000000000000000000000000-2200
χ674-4-444-4-4400-4000000400000000000000-44002-2-222-2-220000000000000000000000000000000-2200
χ684-4-444-4-4400-4000000400000000000000-4400-222-2-222-200000000000000000000000000000002-200
χ694-4-44-444-40004000000-40000000000000004-42i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000002i−2i
χ704-4-44-444-40004000000-40000000000000004-4−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000−2i2i
χ714-4-44-444-40004000000-4000000000000000-442i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000−2i2i
χ724-4-44-444-40004000000-4000000000000000-44−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000002i−2i
χ738888-8-8-8-8000000-80000008000000000000000000000000000000000000000000000000000000000
χ7488-8-888-8-800000-800000080000000000000000000000000000000000000000000000000000000000
χ7588-8-8-8-8888000000-8000000000000000000000000000000000000000000000000000000000000000
χ768-88-88-88-80000-8000000800000000000000000000000000000000000000000000000000000000000
χ778-88-8-88-8808000000-800000000000000000000000000000000000000000000000000000000000000
χ788-8-888-8-88008000000-80000000000000000000000000000000000000000000000000000000000000
χ798-8-88-888-8000-80000008000000000000000000000000000000000000000000000000000000000000

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