Finite Group Databasebeta

← Group #72310516

Character table — Group #72310516

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1111224444448888888888161616161616161616323232323232323232323232323232323232323232323232
order1222222222222222224444224444444244444444444444444444444
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-111-1-11-111-11111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1-1-111-1-11-111-11111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-1-1-111-1-11-111-1-1-1-1-1111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-1-1-111-1-11-111-1-1-1-1-1111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-111-1111-11111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-111-1111-11111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-222-2-22-2-2-2-2000000-2200000000000000000000
χ182222222222222222-2-2-2-222-22-2-2-20000002-200000000000000000000
χ19222222222222-2-2-2-222222222-2-22000000-2-200000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-2-2-220000002200000000000000000000
χ212222222-2-22-2-22-22-2220000002-2-2000000000000000000002-22-20000
χ222222222-2-22-2-22-22-2220000002-2-200000000000000000000-22-220000
χ232222222-2-22-2-22-22-2-2-2000000-2220000000000000000000000002i−2i2i−2i
χ242222222-2-22-2-22-22-2-2-2000000-222000000000000000000000000−2i2i−2i2i
χ252222222-2-22-2-2-22-2222000000-22-20000000000000000000000002-2-22
χ262222222-2-22-2-2-22-2222000000-22-2000000000000000000000000-222-2
χ272222222-2-22-2-2-22-22-2-20000002-22000000000000000000002i−2i−2i2i0000
χ282222222-2-22-2-2-22-22-2-20000002-2200000000000000000000−2i2i2i−2i0000
χ29444444-44-4-44-400000000440-40000000000000000000000000000000
χ30444444-44-4-44-400000000-4-4040000000000000000000000000000000
χ31444444-4-44-4-440000004400-400000000000000000000000000000000
χ32444444-4-44-4-44000000-4-400400000000000000000000000000000000
χ334444-4-4-40040000004-400000000022-2-22-20000000000000000000000
χ344444-4-4-40040000004-4000000000-2-222-220000000000000000000000
χ354444-4-4-4004000000-4400000000022-2-2-220000000000000000000000
χ364444-4-4-4004000000-44000000000-2-2222-20000000000000000000000
χ374-4-444-400-40040000004-400000002-22-200002-2000000000000000000
χ384-4-444-400-40040000004-40000000-22-220000-22000000000000000000
χ394-4-444-400-4004000000-4400000002-22-20000-22000000000000000000
χ404-4-444-400-4004000000-440000000-22-2200002-2000000000000000000
χ414-4-44-440-40040000000004-4000002-2-220000002-20000000000000000
χ424-4-44-440-40040000000004-400000-222-2000000-220000000000000000
χ434-4-44-440-4004000000000-44000002-2-22000000-220000000000000000
χ444-4-44-440-4004000000000-4400000-222-20000002-20000000000000000
χ458888-8-8800-8000000000000000000000000000000000000000000000
χ4688-8-800000000040-40000000000000000000000000002i−2i2i−2i00000000
χ4788-8-800000000040-4000000000000000000000000000−2i2i−2i2i00000000
χ4888-8-8000000000-4040000000000000000000000000002-2-2200000000
χ4988-8-8000000000-404000000000000000000000000000-222-200000000
χ508-88-80000000040-40000000000000000000000002i−2i2i−2i000000000000
χ518-88-80000000040-4000000000000000000000000−2i2i−2i2i000000000000
χ528-88-800000000-4040000000000000000000000002-2-22000000000000
χ538-88-800000000-404000000000000000000000000-222-2000000000000
χ548-8-888-800800-80000000000000000000000000000000000000000000
χ558-8-88-880800-800000000000000000000000000000000000000000000

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