Finite Group Databasebeta

← Group #72266328

Character table — Group #72266328

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112244444488888888881616161616161616161616161616161616161616163232323232323232323232323232323264646464646464646464646464128128
order12222222222222222222222222222244444444444442444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111111-111-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111111-1-1-1-111-111-1111111-1-111-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1111111111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111111111-1-1-1-1111111-1-111-1-111111-1-111-1-11111-11-1-111-1-1111111-1-1-1-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-111-11
χ1111111111111111-1-1-1-1111111-1-1-1-11111111-1-111-1-1111-111-1-1-1-111111111-1-1-1-1-1-1-111-1-111-11
χ1211111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-111-1-111-1-11-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-11-1
χ1311111111111111-1-1-1-11111-1-11111-1-111111-1-1-1-11111-11-1-1-1-111-1-1-1-111-1-11-1-111-1-11111-1-1-11
χ1411111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1111111-11-1-111-1-1-1-1-1-111111-1-1-1-111-1-1111-1
χ1511111111111111-1-1-1-11111-1-111-1-11111111-1-1-1-11111-1-11-1-1-1-1-111-1-111-1-11-1-11111-1-1-1-1111-1
χ1611111111111111-1-1-1-11111-1-111-1-111-1-1-1-11-1-1-1-111111-111-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-11
χ172222222222222222-2-222-2-2000000002222-22-20000-2-200002-2000000-2-20002-2000000000000
χ182222222222222222-2-222-2-200000000-2-2-2-2-22-20000-2-200002-200000022000-22000000000000
χ1922222222222222-2-22222-2-2000000002222-2-220000-2-20000-22000000-2-2000-22000000000000
χ2022222222222222-2-22222-2-200000000-2-2-2-2-2-220000-2-20000-22000000220002-2000000000000
χ21222222222222-2-22222-2-2222222000000002222222-2-20000-2-20000-2-20000-200000000000000
χ22222222222222-2-22222-2-222-2-2-2-200000000222-2-2-2-2-2-20000-2-20000220000200000000000000
χ23222222222222-2-222-2-2-2-2-2-2000000000000-22-20000222002-2200000000-2-20002-20000000000
χ24222222222222-2-222-2-2-2-2-2-2000000000000-22-2000022-200-2-220000000022000-220000000000
χ25222222222222-2-2-2-222-2-2-2-2000000000000-2-2200002220022-200000000-2-2000-220000000000
χ26222222222222-2-2-2-222-2-2-2-2000000000000-2-22000022-200-22-200000000220002-20000000000
χ27222222222222-2-2-2-2-2-2-2-22222-2-2000000002-2-222-2-2-2-20000220000-2-20000200000000000000
χ28222222222222-2-2-2-2-2-2-2-222-2-222000000002-2-2-2-222-2-20000220000220000-200000000000000
χ292222222-2-2-2-222-200002-2222-20000220000-2002-200-2200200000-2-22-2000000000002-2000000
χ302222222-2-2-2-222-200002-2222-20000-2-20000-2002-200-2200-200000222-200000000000-22000000
χ312222222-2-2-2-222-200002-222-220000220000-200-2200-2200200000-2-2-2200000000000-22000000
χ322222222-2-2-2-222-200002-222-220000-2-20000-200-2200-2200-20000022-22000000000002-2000000
χ332222222-2-2-2-22-220000-22222-20022000000-2002-2002-2020000-2-200-220000000002-200000000
χ342222222-2-2-2-22-220000-22222-200-2-2000000-2002-2002-20-200002200-22000000000-2200000000
χ352222222-2-2-2-22-220000-2222-220022000000-200-22002-2020000-2-2002-2000000000-2200000000
χ362222222-2-2-2-22-220000-2222-2200-2-2000000-200-22002-20-2000022002-20000000002-200000000
χ374444444-4-4-4-444-400004-4-4-400000000000040000004-40000000000000000000000000000000
χ384444444-4-4-4-44-440000-44-4-40000000000004000000-440000000000000000000000000000000
χ39444444-444-4-4-4000044000000002222000000-40000000-2-20002-22-2000000000000000000000
χ40444444-444-4-4-400004400000000-2-2-2-2000000-4000000022000-22-22000000000000000000000
χ41444444-444-4-4-40000-4-40000000022-2-200000040000000-220002-2-22000000000000000000000
χ42444444-444-4-4-40000-4-400000000-2-222000000400000002-2000-222-2000000000000000000000
χ43444444-4-4-444-400440000000000222200000-400000000-2-2000-22-22000000000000000000000
χ44444444-4-4-444-400440000000000-2-2-2-200000-400000000220002-22-2000000000000000000000
χ45444444-4-4-444-400-4-4000000000022-2-200000400000000-22000-222-2000000000000000000000
χ46444444-4-4-444-400-4-40000000000-2-222000004000000002-20002-2-22000000000000000000000
χ474444-4-4-400004000000004-40400000022-2-20000-40000200-2000000002-22-2000000000000000
χ484444-4-4-400004000000004-404000000-2-2220000-40000-200200000000-22-22000000000000000
χ494444-4-4-400004000000004-40-400000022-2-2000040000-2002000000002-2-22000000000000000
χ504444-4-4-400004000000004-40-4000000-2-222000040000200-200000000-222-2000000000000000
χ514444-4-4-40000400000000-444000000022-2-2000-400000200-200000000-22-22000000000000000
χ524444-4-4-40000400000000-4440000000-2-222000-400000-2002000000002-22-2000000000000000
χ534444-4-4-40000400000000-44-4000000022-2-2000400000-200200000000-222-2000000000000000
χ544444-4-4-40000400000000-44-40000000-2-222000400000200-2000000002-2-22000000000000000
χ558888-8-880000-8000000000000440000000000000-4-4000000000000000000000000000000000
χ568888-8-880000-8000000000000-4-4000000000000044000000000000000000000000000000000
χ5788-8-8000000000400000-40000004-400004i−4i00000000000000000000000000000000002i−2i0000
χ5888-8-8000000000400000-40000004-40000−4i4i0000000000000000000000000000000000−2i2i0000
χ5988-8-8000000000400000-4000000-4400004i−4i0000000000000000000000000000000000−2i2i0000
χ6088-8-8000000000400000-4000000-440000−4i4i00000000000000000000000000000000002i−2i0000
χ618-88-800000000-40000040000000004-44-4000000000000000000000000000000000000002-200
χ628-88-800000000-40000040000000004-4-4400000000000000000000000000000000000000-2200
χ638-88-800000000-4000004000000000-444-400000000000000000000000000000000000000-2200
χ648-88-800000000-4000004000000000-44-44000000000000000000000000000000000000002-200
χ658-8-888-80008-800000000000004-400000000000004-4000000000000000000000000000000000
χ668-8-888-80008-80000000000000-440000000000000-44000000000000000000000000000000000
χ678-8-888-8000-880008-80000000000000000000000000000000000000000000000000000000000
χ688-8-888-8000-88000-880000000000000000000000000000000000000000000000000000000000
χ698-8-88-8808-80000000000000004-40000000000000-44000000000000000000000000000000000
χ708-8-88-8808-8000000000000000-4400000000000004-4000000000000000000000000000000000
χ718-8-88-880-8800000008-800000000000000000000000000000000000000000000000000000000
χ728-8-88-880-880000000-8800000000000000000000000000000000000000000000000000000000
χ731616-16-16000000000-8000008000000000000000000000000000000000000000000000000000000
χ7416-1616-1600000000800000-80000000000000000000000000000000000000000000000000000000

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