Finite Group Databasebeta

← Group #72314739

Character table — Group #72314739

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444448888888888161616161616161616161616161616163232323232323232323232323232323232323232
order1222222222222222222222224444224444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ91-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-11-11-111-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-11-11-111-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-11-11-111-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ121-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-11-11-111-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ131-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-1-11-11-1-1111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ141-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-1-11-11-1-1111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ151-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-1-11-11-1-111-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii
χ161-1-1111-1-1-111-1-1111-1-1111-1-1-111-1-1-11-11-1-111-1-1-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−i
χ172222222222222222222-2-22-2-2-2-2-2-200000000000000002-22-20000000000000000
χ182222222222222222222-2-22-2-2-2-2-2-20000000000000000-22-220000000000000000
χ192222222222222-2-22-2-2-222-222-2-2-2-2000000000000000000000000000000002i−2i2i−2i
χ202222222222222-2-22-2-2-222-222-2-2-2-200000000000000000000000000000000−2i2i−2i2i
χ212222222222222-2-22-2-2-2-2-2-2-2-2222200000000000000000000000000002i−2i2i−2i0000
χ222222222222222-2-22-2-2-2-2-2-2-2-222220000000000000000000000000000−2i2i−2i2i0000
χ232222222222-2-2-222-222-22-2-22-22-2-220000000000000000000000002-22-200000000
χ242222222222-2-2-222-222-22-2-22-22-2-22000000000000000000000000-22-2200000000
χ252222222222-2-2-222-222-2-22-2-22-222-2000000000000000000002-22-2000000000000
χ262222222222-2-2-222-222-2-22-2-22-222-200000000000000000000-22-22000000000000
χ272222222222-2-2-2-2-2-2-2-222-222-2-222-22222-2-2-2-20000000000000000000000000000
χ282222222222-2-2-2-2-2-2-2-222-222-2-222-2-2-2-2-222220000000000000000000000000000
χ292222222222-2-2-2-2-2-2-2-22-222-222-2-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ302222222222-2-2-2-2-2-2-2-22-222-222-2-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ312-2-2222-2-2-222-2-2222-2-22-2-2-222-2-22200000000000000002-2-220000000000000000
χ322-2-2222-2-2-222-2-2222-2-22-2-2-222-2-2220000000000000000-222-20000000000000000
χ332-2-2222-2-2-222-2-2-2-2222-2222-2-2-2-222000000000000000000000000000000002-2-22
χ342-2-2222-2-2-222-2-2-2-2222-2222-2-2-2-22200000000000000000000000000000000-222-2
χ352-2-2222-2-2-222-2-2-2-2222-2-2-222222-2-200000000000000000000000000002-2-220000
χ362-2-2222-2-2-222-2-2-2-2222-2-2-222222-2-20000000000000000000000000000-222-20000
χ372-2-2222-2-2-22-22222-2-2-2-22-22-222-22-20000000000000000000000002i−2i−2i2i00000000
χ382-2-2222-2-2-22-22222-2-2-2-22-22-222-22-2000000000000000000000000−2i2i2i−2i00000000
χ392-2-2222-2-2-22-22222-2-2-2-2-2222-2-22-22000000000000000000002i−2i−2i2i000000000000
χ402-2-2222-2-2-22-22222-2-2-2-2-2222-2-22-2200000000000000000000−2i2i2i−2i000000000000
χ412-2-2222-2-2-22-222-2-2-22222-2-2-22-22-222-22-2-2-2220000000000000000000000000000
χ422-2-2222-2-2-22-222-2-2-22222-2-2-22-22-22-22-2222-2-20000000000000000000000000000
χ432-2-2222-2-2-22-222-2-2-2222-22-22-22-22-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ442-2-2222-2-2-22-222-2-2-2222-22-22-22-22-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ454444-4-44-4-440004-404-4000000000022-2-22-22-20000000000000000000000000000
χ464444-4-44-4-440004-404-40000000000-2-222-22-220000000000000000000000000000
χ474444-4-44-4-44000-440-44000000000022-2-2-22-220000000000000000000000000000
χ484444-4-44-4-44000-440-440000000000-2-2222-22-20000000000000000000000000000
χ494-4-44-4-4-44440004-40-4400000000002-2-222-2-220000000000000000000000000000
χ504-4-44-4-4-44440004-40-440000000000-222-2-222-20000000000000000000000000000
χ514-4-44-4-4-4444000-4404-400000000002-2-22-222-20000000000000000000000000000
χ524-4-44-4-4-4444000-4404-40000000000-222-22-2-220000000000000000000000000000
χ5388888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ548888-88-8-88-8000000000000000000000000000000000000000000000000000000
χ5588-8-800000044-400-4000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ5688-8-800000044-400-400000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ5788-8-8000000-4-44004000000000000000000002-2-222-2-2200000000000000000000
χ5888-8-8000000-4-4400400000000000000000000-222-2-222-200000000000000000000
χ598-88-80000004-4400-4000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ608-88-80000004-4400-400000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ618-88-8000000-44-4004000000000000000000002-2-22-222-200000000000000000000
χ628-88-8000000-44-400400000000000000000000-222-22-2-2200000000000000000000
χ638-8-888-88-88-8000000000000000000000000000000000000000000000000000000
χ648-8-88-8888-8-8000000000000000000000000000000000000000000000000000000

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