Finite Group Databasebeta

← Group #72337638

Character table — Group #72337638

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11114448888888888888888881616161616161616161616161616161616163232323232323232323232323232323264646464646464646464646464128128
order12222222222222222224444442222222244444444444444444444444444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ511111111111-1-1-1-11111111111-1-111111111-1-1-1-111-1-1111-111-1-1111111-1-1-1-1-1-1-111-1-111-1-11-1
χ611111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1111-1-11111-1-111-1-1-1-1-1-1-111-1-111-11
χ711111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-111-1-1-1111111-1-1-1-111-11
χ811111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-111-11111-1-11111-1-11-1
χ91111111-1-1-1-111111111111111-1-111-1-111-1-111-1-111111-111-1-11111-1-11111-111-1-1-1-1-1-111-1-1-11
χ101111111-1-1-1-111111111111111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1111-1
χ111111111-1-1-1-111111111111111-1-1-1-11111-1-111-1-11111-1111-1-111-1-1111111-1-1-111-1-1-1-1-1-1111-1
χ121111111-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-111111111-1-1-11
χ131111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-11-11-1-1-1-1-111-1-111-1-11-1-111-1-1111111-1-1
χ141111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1111-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111
χ151111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111
χ161111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-111-11-11-1-1-1-1-1-111-1-111111-1-111-1-11111-1-1
χ172222222000022-2-222-2-22-2-2-22-20000222-2002-20000000200002-200-2-200000002-20000000000
χ182222222000022-2-222-2-22-2-2-22-20000-2-22-2002-20000000-200002-200220000000-220000000000
χ192222222000022-2-222-2-2-22-2-2-22002200-22002-2000000200000-22-2-200000002-2000000000000
χ202222222000022-2-222-2-2-22-2-2-2200-2-200-22002-2000000-200000-22220000000-22000000000000
χ2122222220000-2-22222-2-22-2-2-22-20000222-200-22000000020000-2200-2-20000000-220000000000
χ2222222220000-2-22222-2-22-2-2-22-20000-2-22-200-220000000-20000-22002200000002-20000000000
χ2322222220000-2-22222-2-2-22-2-2-22002200-2200-220000002000002-2-2-20000000-22000000000000
χ2422222220000-2-22222-2-2-22-2-2-2200-2-200-2200-22000000-2000002-22200000002-2000000000000
χ252222222222222222222-2-222-2-2220000-2-222222200000000-2-2-2-200000000-200000000000000
χ2622222222222-2-2-2-22222-2-222-2-2-2-20000-2-222-2-2-2-200000000-2-22200000000200000000000000
χ27222222222-2-20000-2-2222-2-2-22-2000000-222-20000002200022-200000000-2-200000002-2000000
χ28222222222-2-20000-2-2222-2-2-22-2000000-222-2000000-2-2000-22-200000000220000000-22000000
χ29222222222-2-20000-2-222-22-2-2-220000002-22-2000022000020-22000000-2-200000002-200000000
χ30222222222-2-20000-2-222-22-2-2-220000002-22-20000-2-20000-20-22000000220000000-2200000000
χ312222222-2-2220000-2-2222-2-2-22-2000000-22-22000000220002-2200000000-2-20000000-22000000
χ322222222-2-2220000-2-2222-2-2-22-2000000-22-22000000-2-2000-2-22000000002200000002-2000000
χ332222222-2-2220000-2-222-22-2-2-220000002-2-220000220000202-2000000-2-20000000-2200000000
χ342222222-2-2220000-2-222-22-2-2-220000002-2-220000-2-20000-202-20000002200000002-200000000
χ352222222-2-2-2-222222222-2-222-2-2-2-20000-2-2-2-222-2-20000000022-2-200000000200000000000000
χ362222222-2-2-2-2-2-2-2-22222-2-222-2-2220000-2-2-2-2-2-22200000000222200000000-200000000000000
χ37444444400000000-4-4-4-4444444000000-4-400000000000000000000000000000000000000000
χ38444444400000000-4-4-4-4-4-444-4-40000004400000000000000000000000000000000000000000
χ394444-44-4000000444-40000000000000000000-400222200-2-2000000002-22-2000000000000000
χ404444-44-4000000444-40000000000000000000-400-2-2-2-2002200000000-22-22000000000000000
χ414444-44-4000000-4-44-4000000000000000000040022-2-200-22000000002-2-22000000000000000
χ424444-44-4000000-4-44-40000000000000000000400-2-222002-200000000-222-2000000000000000
χ434444-44-400004400-44000000000000000000-4000222200-2-200000000-22-22000000000000000
χ444444-44-400004400-44000000000000000000-4000-2-2-2-20022000000002-22-2000000000000000
χ454444-44-40000-4-400-44000000000000000000400022-2-200-2200000000-222-2000000000000000
χ464444-44-40000-4-400-440000000000000000004000-2-222002-2000000002-2-22000000000000000
χ474444-4-4400440000004-4000000002222000-400000000-2-20000002-22-20000000000000000000
χ484444-4-4400440000004-400000000-2-2-2-2000-40000000022000000-22-220000000000000000000
χ494444-4-4400-4-40000004-40000000022-2-2000400000000-220000002-2-220000000000000000000
χ504444-4-4400-4-40000004-400000000-2-2220004000000002-2000000-222-20000000000000000000
χ514444-4-444400000000-4400000000222200-4000000000-2-2000000-22-220000000000000000000
χ524444-4-444400000000-4400000000-2-2-2-200-4000000000220000002-22-20000000000000000000
χ534444-4-44-4-400000000-440000000022-2-2004000000000-22000000-222-20000000000000000000
χ544444-4-44-4-400000000-4400000000-2-2220040000000002-20000002-2-220000000000000000000
χ5588888-8-8000000000000000000440000000000-4-400000000000000000000000000000000000
χ5688888-8-8000000000000000000-4-400000000004400000000000000000000000000000000000
χ5788-8-800000000000000004000-4004-400000000004i−4i0000000000000000000000000002i−2i0000
χ5888-8-800000000000000004000-4004-40000000000−4i4i000000000000000000000000000−2i2i0000
χ5988-8-800000000000000004000-400-4400000000004i−4i000000000000000000000000000−2i2i0000
χ6088-8-800000000000000004000-400-440000000000−4i4i0000000000000000000000000002i−2i0000
χ618-88-80000000000000004000-4000004-400000000004i−4i0000000000000000000000000002i−2i00
χ628-88-80000000000000004000-4000004-40000000000−4i4i000000000000000000000000000−2i2i00
χ638-88-80000000000000004000-400000-4400000000004i−4i000000000000000000000000000−2i2i00
χ648-88-80000000000000004000-400000-440000000000−4i4i0000000000000000000000000002i−2i00
χ658-8-880004-44-44-44-40000004-4000000000000004-400000000000000000000000000000000000
χ668-8-880004-44-4-44-440000004-400000000000000-4400000000000000000000000000000000000
χ678-8-880004-4-444-4-44000000-44004-400000000000000000000000000000000000000000000000
χ688-8-880004-4-44-444-4000000-4400-4400000000000000000000000000000000000000000000000
χ698-8-88000-444-44-4-44000000-4400-4400000000000000000000000000000000000000000000000
χ708-8-88000-444-4-444-4000000-44004-400000000000000000000000000000000000000000000000
χ718-8-88000-44-444-44-40000004-400000000000000-4400000000000000000000000000000000000
χ728-8-88000-44-44-44-440000004-4000000000000004-400000000000000000000000000000000000
χ731616-16-160000000000000000-800080000000000000000000000000000000000000000000000000
χ7416-1616-16000000000000000-8000800000000000000000000000000000000000000000000000000

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