Finite Group Databasebeta

← Group #72334281

Character table — Group #72334281

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size111111114444444444444488888888888888888888881616161616161616161616161616161616161616163232323232323232323232323232
order1222222222222222222222222222224444444444444422222244444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-11-1-111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-11-111-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-11111-1-1-1-111-1-1-11-11-11-1-11-1-111-111-11-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111-1-111-1-1-1-111-1-111-11-1-11-1-11-1-1-111-1-1-11-1111-1-111-1-1-1-111-1-111
χ7111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-111111-1-1-1-11-1-111-1-1-1-1-1-1-111-1-11111-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-11-111-1-1-1111-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-11-1-11-1-111-111-11-1-1-111-1-111-1-111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-1-11-1-11-1-1-111-1-1-11-111111-1-11111-1-111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-1-1-1-1-1111-1-11111111-1-1-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111111-1-1-1-11-1-111-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2222-2-2-2-20000000000000022222200002022-2-2-20000-200-2-200000000000000000
χ1822222222222-2-2-2-2222-2-2-2-20000000000000022-2-2-2-2000020-2-2-2220000-2002200000000000000000
χ1922222222222-2-2-2-2222-2-2-2-200000000000000-2-222-2-20000-202-22-220000200-2200000000000000000
χ2022222222222-2-2-2-2222-2-2-2-200000000000000-2-2-2-2220000-20-2222-200002002-200000000000000000
χ21222222222-2-222-2-22-2-222-2-2000000000000222200002200-2200-20000002-2-2002-2-200000000000000
χ22222222222-2-222-2-22-2-222-2-200000000000022-2-20000-2-20022002000000-2-2-200-22200000000000000
χ23222222222-2-222-2-22-2-222-2-2000000000000-2-2220000-2-200-2-200-200000022200-22200000000000000
χ24222222222-2-222-2-22-2-222-2-2000000000000-2-2-2-2000022002-2002000000-222002-2-200000000000000
χ25222222222-2-2-2-2222-2-2-2-2220000000022220022000000-2-2-20002002-22-2-2000000000000000000000
χ26222222222-2-2-2-2222-2-2-2-2220000000022-2-200-2-2000000-222000-2002-2-222000000000000000000000
χ27222222222-2-2-2-2222-2-2-2-22200000000-2-22200-2-20000002-22000-200-222-22000000000000000000000
χ28222222222-2-2-2-2222-2-2-2-22200000000-2-2-2-2002200000022-2000200-22-22-2000000000000000000000
χ2922222222-22-22-22-2-22-22-22-200000000002200002200220200-200-2000-2-200020-22-200000000000000
χ3022222222-22-22-22-2-22-22-22-20000000000220000-2-200-2-202002002000-2-2000-202-2200000000000000
χ3122222222-22-22-22-2-22-22-22-20000000000-2-200002200-2-20-200-200-200022000202-2200000000000000
χ3222222222-22-22-22-2-22-22-22-20000000000-2-20000-2-200220-200200200022000-20-22-200000000000000
χ3322222222-22-2-22-22-22-2-22-220000000022002200220000-200-2-20020-220002-2-2000000000000000000
χ3422222222-22-2-22-22-22-2-22-22000000002200-2-200-2-20000-2002200-20-22000-222000000000000000000
χ3522222222-22-2-22-22-22-2-22-2200000000-2-2002200-2-20000200-2200-202-20002-22000000000000000000
χ3622222222-22-2-22-22-22-2-22-2200000000-2-200-2-2002200002002-200202-2000-22-2000000000000000000
χ3722222222-2-222-2-22-2-222-2-22000000002200000000222220000-200-2-2-20000002-2-2200000000000000
χ3822222222-2-222-2-22-2-222-2-22000000002200000000-2-2-2-2200002002-2-2000000-222-200000000000000
χ3922222222-2-222-2-22-2-222-2-2200000000-2-20000000022-2-2-20000-200-222000000222-200000000000000
χ4022222222-2-222-2-22-2-222-2-2200000000-2-200000000-2-222-20000200222000000-2-2-2200000000000000
χ4122222222-2-22-222-2-2-22-222-200000000002222000022000-20-20-200200-220-220-200000000000000000
χ4222222222-2-22-222-2-2-22-222-2000000000022-2-20000-2-2000-2020200-200-2202-20200000000000000000
χ4322222222-2-22-222-2-2-22-222-20000000000-2-2220000-2-200020-20200-2002-20-220200000000000000000
χ4422222222-2-22-222-2-2-22-222-20000000000-2-2-2-20000220002020-2002002-202-20-200000000000000000
χ454444-4-4-4-40004000000-40002222-2-2-2-20000000000004i−4i0000000000000000000000000000000002i−2i
χ464444-4-4-4-40004000000-40002222-2-2-2-2000000000000−4i4i000000000000000000000000000000000−2i2i
χ474444-4-4-4-40004000000-4000-2-2-2-222220000000000004i−4i000000000000000000000000000000000−2i2i
χ484444-4-4-4-40004000000-4000-2-2-2-22222000000000000−4i4i0000000000000000000000000000000002i−2i
χ4944-4-444-4-4000000-4000000422-2-222-2-24-40000000000000000000000000000000002-2000000000000
χ5044-4-444-4-4000000-4000000422-2-222-2-2-44000000000000000000000000000000000-22000000000000
χ5144-4-444-4-4000000-40000004-2-222-2-2224-4000000000000000000000000000000000-22000000000000
χ5244-4-444-4-4000000-40000004-2-222-2-222-440000000000000000000000000000000002-2000000000000
χ5344-4-4-4-44400-40000004000022-2-2-2-22200000000004-40000000000000000000000000000000002-200
χ5444-4-4-4-44400-40000004000022-2-2-2-2220000000000-44000000000000000000000000000000000-2200
χ5544-4-4-4-44400-400000040000-2-22222-2-200000000004-4000000000000000000000000000000000-2200
χ5644-4-4-4-44400-400000040000-2-22222-2-20000000000-440000000000000000000000000000000002-200
χ574-44-44-44-400000-4000000402-22-22-22-2004-40000000000000000000000000000000002-20000000000
χ584-44-44-44-400000-4000000402-22-22-22-200-44000000000000000000000000000000000-220000000000
χ594-44-44-44-400000-400000040-22-22-22-22004-4000000000000000000000000000000000-220000000000
χ604-44-44-44-400000-400000040-22-22-22-2200-440000000000000000000000000000000002-20000000000
χ614-44-4-44-440-40000004000002-22-2-22-22000000004-40000000000000000000000000000000002-20000
χ624-44-4-44-440-40000004000002-22-2-22-2200000000-44000000000000000000000000000000000-220000
χ634-44-4-44-440-4000000400000-22-222-22-2000000004-4000000000000000000000000000000000-220000
χ644-44-4-44-440-4000000400000-22-222-22-200000000-440000000000000000000000000000000002-20000
χ654-4-444-4-44-400000040000002-2-222-2-220000004-400000000000000000000000000000002-200000000
χ664-4-444-4-44-400000040000002-2-222-2-22000000-440000000000000000000000000000000-2200000000
χ674-4-444-4-44-40000004000000-222-2-222-20000004-40000000000000000000000000000000-2200000000
χ684-4-444-4-44-40000004000000-222-2-222-2000000-4400000000000000000000000000000002-200000000
χ694-4-44-444-40000-40000004002-2-22-222-200004-4000000000000000000000000000000000002-2000000
χ704-4-44-444-40000-40000004002-2-22-222-20000-4400000000000000000000000000000000000-22000000
χ714-4-44-444-40000-4000000400-222-22-2-2200004-400000000000000000000000000000000000-22000000
χ724-4-44-444-40000-4000000400-222-22-2-220000-44000000000000000000000000000000000002-2000000
χ738888-8-8-8-8000-80000008000000000000000000000000000000000000000000000000000000000000
χ7488-8-888-8-80000008000000-8000000000000000000000000000000000000000000000000000000000
χ7588-8-8-8-888008000000-80000000000000000000000000000000000000000000000000000000000000
χ768-88-88-88-8000008000000-80000000000000000000000000000000000000000000000000000000000
χ778-88-8-88-8808000000-800000000000000000000000000000000000000000000000000000000000000
χ788-8-888-8-888000000-8000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-888-800008000000-800000000000000000000000000000000000000000000000000000000000

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