Finite Group Databasebeta

← Group #72267059

Character table — Group #72267059

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size112444888888881616161616161616161616161632323232323232323264646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128
order1222222222224422222224444442244488882444444448888888888444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1111-1-1-1-111iiii−i−i−i−i1-111-1-1ii−i−iii−i−iii−i−i
χ611111111111111111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1111-1-1-1-111−i−i−i−iiiii1-111-1-1−i−iii−i−iii−i−iii
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1iiii−i−i−i−i1-1-1-111−i−iiiii−i−i−i−iii
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1−i−i−i−iiiii1-1-1-111ii−i−i−i−iiiii−i−i
χ9111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-111-11-1-1-111ii−i−iii−i−i-11-1-111ii−i−ii−ii−i−i−iii
χ10111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-111-11-1-1-111−i−iii−i−iii-11-1-111−i−iii−ii−iiii−i−i
χ11111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-11-111-1-1ii−i−iii−i−i-1111-1-1−i−iiii−ii−iii−i−i
χ12111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-11-111-1-1−i−iii−i−iii-1111-1-1ii−i−i−ii−ii−i−iii
χ13111111111111111-1-1-1-111111111111-1-111111111-1-11111111-1-1-1-111-1-1-1-1-1-111111-1-11-1-1-1-1
χ14111111111111111-1-1-1-111111111111-1-111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ15111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111111
χ16111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1
χ172222222222222222222-2-2222-2-22-22-222000000-2-2222000000000000-2-20000000000000000
χ1822222222222222222-2-22222-222-22-222-2000000-2-22-2-2000000000000-220000000000000000
χ19222222222222222-2-2222222-222-22-22-22000000-2-2-22-20000000000002-20000000000000000
χ20222222222222222-2-2-2-2-2-2222-2-22-22-2-2-2000000-2-2-2-22000000000000220000000000000000
χ2122222222-2-2-2-2222000022-2-22-2-22-222000000002-200-20000220000220000000000-200-20000
χ2222222222-2-2-2-2222000022-2-22-2-22-222000000002-200-20000-2-20000-2-2000000000020020000
χ2322222222-2-2-2-2222000022-2-2-2-2-2-2-2-2200000000-220020000002i2i−2i−2i0000000000000−2i2i00000
χ2422222222-2-2-2-2222000022-2-2-2-2-2-2-2-2200000000-22002000000−2i−2i2i2i00000000000002i−2i00000
χ2522222222-2-2-2-22220000-2-2-2-2222222-200000000-2200-200000022220000000000000-2-200000
χ2622222222-2-2-2-22220000-2-2-2-2222222-200000000-2200-2000000-2-2-2-200000000000002200000
χ2722222222-2-2-2-22220000-2-2-2-2-222-22-2-2000000002-200200002i2i0000−2i−2i0000000000−2i002i0000
χ2822222222-2-2-2-22220000-2-2-2-2-222-22-2-2000000002-20020000−2i−2i00002i2i00000000002i00−2i0000
χ294444444444-4-4-4-4-40044004-4000000004000000000-40000000000000000000000000000000
χ304444444444-4-4-4-4-400-4-4004-400000000-400000000040000000000000000000000000000000
χ3144444444-4-444-4-4-4440000-4400000004000000000-400000000000000000000000000000000
χ3244444444-4-444-4-4-4-4-40000-440000000-4000000000400000000000000000000000000000000
χ33444444-4-4000044-40000000040040-40002222-2-20000022-2-200000000000000000000000000
χ34444444-4-4000044-40000000040040-4000-2-2-2-22200000-2-22200000000000000000000000000
χ35444444-4-4000044-400000000-400-40400022222200000-2-2-2-200000000000000000000000000
χ36444444-4-4000044-400000000-400-404000-2-2-2-2-2-200000222200000000000000000000000000
χ37444-4-444-400440004400000-40000000-4022-2-20000000002-200000000002-200000000000000
χ38444-4-444-400440004400000-40000000-40-2-222000000000-220000000000-2200000000000000
χ39444-4-444-40044000-4-400000-400000004022-2-20000000002-20000000000-2200000000000000
χ40444-4-444-40044000-4-400000-4000000040-2-222000000000-2200000000002-200000000000000
χ41444-4-44-444400000004400-4000000000-422-2-2000000000-220000000000002-2000000000000
χ42444-4-44-444400000004400-4000000000-4-2-2220000000002-2000000000000-22000000000000
χ43444-4-44-44440000000-4-400-4000000000422-2-2000000000-22000000000000-22000000000000
χ44444-4-44-44440000000-4-400-40000000004-2-2220000000002-20000000000002-2000000000000
χ45888888-8-80000-8-880000000000000000000000000000000000000000000000000000000000
χ468888-8-8000000000000000000440-4000000000000000000000000000000000000000002-22-2
χ478888-8-8000000000000000000440-400000000000000000000000000000000000000000-22-22
χ488888-8-8000000000000000000-4-404000000000000000000000000000000000000000002i−2i−2i2i
χ498888-8-8000000000000000000-4-40400000000000000000000000000000000000000000−2i2i2i−2i
χ50888-88-800000000000004400000000-400000000000000000000000000000002-22-200000000
χ51888-88-800000000000004400000000-40000000000000000000000000000000-22-2200000000
χ52888-88-80000000000000-4-400000000400000000000000000000000000000002i−2i−2i2i00000000
χ53888-88-80000000000000-4-40000000040000000000000000000000000000000−2i2i2i−2i00000000
χ54888-8-888-800-8-80000000000800000000000000000000000000000000000000000000000000
χ55888-8-88-88-8-8000000000008000000000000000000000000000000000000000000000000000
χ5688-8000004-44-4-44000004-40004-4000000004-42-2000002-20000000000000000000000000000
χ5788-8000004-44-4-44000004-40004-400000000-44-2200000-220000000000000000000000000000
χ5888-8000004-44-4-4400000-44000-44000000004-4-2200000-220000000000000000000000000000
χ5988-8000004-44-4-4400000-44000-4400000000-442-2000002-20000000000000000000000000000
χ6088-800000-44-44-44000004-4000-440000004-4002-200000-220000000000000000000000000000
χ6188-800000-44-44-44000004-4000-44000000-4400-22000002-20000000000000000000000000000
χ6288-800000-44-44-4400000-440004-40000004-400-22000002-20000000000000000000000000000
χ6388-800000-44-44-4400000-440004-4000000-44002-200000-220000000000000000000000000000
χ641616-16000008-8-888-800000000000000000000000000000000000000000000000000000000000
χ651616-1600000-888-88-800000000000000000000000000000000000000000000000000000000000
χ6616-1600000000000004-44-40000400-4000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ6716-1600000000000004-44-40000400-400000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ6816-1600000000000004-4-440000-4004000000000000000000002-22-2-22-22000000000000000000
χ6916-1600000000000004-4-440000-400400000000000000000000-22-222-22-2000000000000000000
χ7016-160000000000000-444-40000-4004000000000000000000002-2-222-2-22000000000000000000
χ7116-160000000000000-444-40000-400400000000000000000000-222-2-222-2000000000000000000
χ7216-160000000000000-44-440000400-4000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ7316-160000000000000-44-440000400-400000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000

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