Finite Group Databasebeta

← Group #72285519

Character table — Group #72285519

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size111122444444444488888888888888881616161616161616161616161616161616161616161616161632323232323264646464
order1222222244444444222222222244444422444444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111-1-1-1-11111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111111111-1-111-1-11111-1-111-1-111-1-11111-1111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-1-111-1-11111-1-1
χ71111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ81111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1111-11-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-1111-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11-1-1-111-1-111-1-111-1-1-11111-1-1-11-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-11111111-1-11-1-1-111-111-1-1-1-111-1-111111-1-1-1-11-1-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1111-1-11111-111-1
χ131111111111-1-1-1-111-1-111-1-1111111-1-11111-111-1-1-1-111-1-1-11111-1-1-1-111111-1-1-1-1-111-1
χ141111111111-1-1-1-111-1-111-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-11
χ151111111111-1-1-1-111-1-1-1-11111111111-1-111-11-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1-111-11-11
χ161111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-11-1-11-1-1-1-1-111-1-11111-1-1-11111-1-11-11-1
χ172222222222222222000022-2-2-2-2000022000000-2-2200200000000-2-22-2-20000000000
χ1822222222222222220000-2-2-2-2-2-20000-2-2000000-2-2-20020000000022-2220000000000
χ192222222222-2-2-2-222000022-2-2-2-20000-2-200000022200-200000000-2-2-2220000000000
χ202222222222-2-2-2-2220000-2-2-2-2-2-200002200000022-200-200000000222-2-20000000000
χ2122222222-2-20000-2-200220022-2-22200-2-200022000000000-2-2-2-2000022-20000000000
χ2222222222-2-20000-2-200220022-2-2-2-20022000-2200000000022-2-20000-2-220000000000
χ2322222222-2-20000-2-200-2-20022-2-22200220002-2000000000-2-2220000-2-220000000000
χ2422222222-2-20000-2-200-2-20022-2-2-2-200-2-2000-2-20000000002222000022-20000000000
χ2522222222-2-20000-2-2220000-2-2220022-2-2002002000000-2-20000-2-2002-220000000000
χ2622222222-2-20000-2-2220000-2-22200-2-22200200-2000000-2-200002200-22-20000000000
χ2722222222-2-20000-2-2-2-20000-2-22200222200-2002000000220000-2-200-22-20000000000
χ2822222222-2-20000-2-2-2-20000-2-22200-2-2-2-200-200-200000022000022002-220000000000
χ29222222-2-22-200002-20000222-22-2222200000-20-200-2000002-2002-22-20000000000000
χ30222222-2-22-200002-20000222-22-2-2-2-2-20000020200-200000-2200-222-20000000000000
χ31222222-2-22-200002-20000-2-22-22-222-2-200000-202002000002-200-22-220000000000000
χ32222222-2-22-200002-20000-2-22-22-2-2-2220000020-200200000-22002-2-220000000000000
χ33222222-2-22-200002-2222222-22-2200000000-20-2000-20002-2002-200-220000000000000
χ34222222-2-22-200002-222-2-2-2-2-22-2200000000-20200020002-200-22002-20000000000000
χ35222222-2-22-200002-2-2-222-2-2-22-220000000020-20002000-22002-2002-20000000000000
χ36222222-2-22-200002-2-2-2-2-222-22-2200000000202000-2000-2200-2200-220000000000000
χ37222222-2-2-222222-22002200-222-20022000000-2-22-2000-20000-22-22000000000000000
χ38222222-2-2-222222-2200-2-200-222-200-2-2000000222-2000-200002-22-2000000000000000
χ39222222-2-2-222222-222200002-2-2222000000-2-200-22000-2-22-220000000000000000000
χ40222222-2-2-222222-22-2-200002-2-22-2-20000002200-22000-22-22-20000000000000000000
χ41222222-2-2-22-2-2-2-2-22002200-222-200-2-2000000-22-2200020000-222-2000000000000000
χ42222222-2-2-22-2-2-2-2-2200-2-200-222-200220000002-2-22000200002-2-22000000000000000
χ43222222-2-2-22-2-2-2-2-222200002-2-22-2-2000000-22002-20002-222-20000000000000000000
χ44222222-2-2-22-2-2-2-2-22-2-200002-2-22220000002-2002-200022-2-220000000000000000000
χ454444-4-44-400000000000000000000004i−4i220000000-2-2000000000000002i−2i00000000
χ464444-4-44-400000000000000000000004i−4i-2-200000002200000000000000−2i2i00000000
χ474444-4-44-40000000000000000000000−4i4i220000000-2-200000000000000−2i2i00000000
χ484444-4-44-40000000000000000000000−4i4i-2-2000000022000000000000002i−2i00000000
χ494-4-444-4000-444-4-40400000000000000002-200000002-200000000000000002-2000000
χ504-4-444-4000-444-4-4040000000000000000-220000000-220000000000000000-22000000
χ514-4-444-4000-4-4-4440400000000000000002-200000002-20000000000000000-22000000
χ524-4-444-4000-4-4-444040000000000000000-220000000-2200000000000000002-2000000
χ534-4-44-4400-4000004000004-400000000002-20000000-220000000000000000002-20000
χ544-4-44-4400-4000004000004-40000000000-2200000002-2000000000000000000-220000
χ554-4-44-4400-400000400000-4400000000002-20000000-22000000000000000000-220000
χ564-4-44-4400-400000400000-440000000000-2200000002-20000000000000000002-20000
χ578888-8-8-8800000000000000000000000000000000000000000000000000000000000
χ5888-8-80000004i−4i4i−4i00004-4000000004i−4i0000000000000000000000000000000000000
χ5988-8-80000004i−4i4i−4i0000-4400000000−4i4i0000000000000000000000000000000000000
χ6088-8-8000000−4i4i−4i4i00004-400000000−4i4i0000000000000000000000000000000000000
χ6188-8-8000000−4i4i−4i4i0000-44000000004i−4i0000000000000000000000000000000000000
χ628-88-80000004i−4i−4i4i004-4000000004i−4i000000000000000000000000000000000000000
χ638-88-80000004i−4i−4i4i00-4400000000−4i4i000000000000000000000000000000000000000
χ648-88-8000000−4i4i4i−4i004-400000000−4i4i000000000000000000000000000000000000000
χ658-88-8000000−4i4i4i−4i00-44000000004i−4i000000000000000000000000000000000000000
χ668-8-888-8000800000-8000000000000000000000000000000000000000000000000000
χ678-8-88-8800800000-80000000000000000000000000000000000000000000000000000

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