Finite Group Databasebeta

← Group #7555

Character table — Group #7555

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111111111111111111144444444444444444444444444444444444444444444444444444444
order1222222222222222222222222222222222222222444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ2011111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2211111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2311111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2411111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111
χ332222-2-2-2-22222-2-22222-2-22222-2-2-2-2-2-2-2-22-22-22-22-2000000000000000000000000000000000000000000000000
χ342222-2-2-2-22222-2-22222-2-22222-2-2-2-2-2-2-2-2-22-22-22-22000000000000000000000000000000000000000000000000
χ352222-2-2-2-22222-2-2-2-2-2-222-2-2-2-222-2-222222-22-2-22-22000000000000000000000000000000000000000000000000
χ362222-2-2-2-22222-2-2-2-2-2-222-2-2-2-222-2-22222-22-222-22-2000000000000000000000000000000000000000000000000
χ372222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2222-2-222-2-22000000000000000000000000000000000000000000000000
χ382222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-222-222-2-222-2000000000000000000000000000000000000000000000000
χ392222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-22222-2-22-2-22-222-2000000000000000000000000000000000000000000000000
χ402222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-22222-2-2-222-22-2-22000000000000000000000000000000000000000000000000
χ4122-2-222-2-222-2-22222-2-22-222-2-22-2-2-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ4222-2-222-2-222-2-22222-2-22-222-2-22-2-2-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ4322-2-222-2-222-2-222-2-222-22-2-222-22-2-2-22-2200000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ4422-2-222-2-222-2-222-2-222-22-2-222-22-2-2-22-220000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ4522-2-222-2-2-2-222-2-222-2-22-2-2-222-22222-2-2200000000000000002-2-222-2-2200000000000000000000000000000000
χ4622-2-222-2-2-2-222-2-222-2-22-2-2-222-22222-2-220000000000000000-222-2-222-200000000000000000000000000000000
χ4722-2-222-2-2-2-222-2-2-2-222-2222-2-22-222-222-200000000000000002-2-22-222-200000000000000000000000000000000
χ4822-2-222-2-2-2-222-2-2-2-222-2222-2-22-222-222-20000000000000000-222-22-2-2200000000000000000000000000000000
χ4922-2-2-2-22222-2-2-2-222-2-2-2222-2-2-2222-22-22000000002-22-22-22-20000000000000000000000000000000000000000
χ5022-2-2-2-22222-2-2-2-222-2-2-2222-2-2-2222-22-2200000000-22-22-22-220000000000000000000000000000000000000000
χ5122-2-2-2-22222-2-2-2-2-2-2222-2-2-2222-2222-22-2000000002-22-2-22-220000000000000000000000000000000000000000
χ5222-2-2-2-22222-2-2-2-2-2-2222-2-2-2222-2222-22-200000000-22-222-22-20000000000000000000000000000000000000000
χ5322-2-2-2-222-2-2222222-2-2-22-2-2222-2-2-2-222-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ5422-2-2-2-222-2-2222222-2-2-22-2-2222-2-2-2-222-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ5522-2-2-2-222-2-22222-2-2222-222-2-2-22-2-22-2-22000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ5622-2-2-2-222-2-22222-2-2222-222-2-2-22-2-22-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ572-22-22-22-22-22-22-22-22-2222-22-22-22-2-2-2-220000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-22-22-22-22-22-22-22-22-2222-22-22-22-2-2-2-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-22-22-22-22-22-22-2-22-22-2-2-22-22-222-2222-20000000000000000000000002-22-2-22-22000000000000000000000000
χ602-22-22-22-22-22-22-2-22-22-2-2-22-22-222-2222-2000000000000000000000000-22-222-22-2000000000000000000000000
χ612-22-22-22-2-22-22-222-22-222-22-22-22-22-2-22-20000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ622-22-22-22-2-22-22-222-22-222-22-22-22-22-2-22-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ632-22-22-22-2-22-22-22-22-22-2-22-22-22-2-2222-220000000000000000000000002-2-22-222-2000000000000000000000000
χ642-22-22-22-2-22-22-22-22-22-2-22-22-22-2-2222-22000000000000000000000000-222-22-2-22000000000000000000000000
χ652-22-2-22-222-22-2-222-22-2-2-22-22-2-22-22222-2000000000000000000000000000000002-22-22-22-20000000000000000
χ662-22-2-22-222-22-2-222-22-2-2-22-22-2-22-22222-200000000000000000000000000000000-22-22-22-220000000000000000
χ672-22-2-22-222-22-2-22-22-2222-22-222-2-22-2-2-22000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ682-22-2-22-222-22-2-22-22-2222-22-222-2-22-2-2-2200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ692-22-2-22-22-22-222-22-22-2-2-2-22-222-22-222-22000000000000000000000000000000002-2-222-2-220000000000000000
χ702-22-2-22-22-22-222-22-22-2-2-2-22-222-22-222-2200000000000000000000000000000000-222-2-222-20000000000000000
χ712-22-2-22-22-22-222-2-22-22222-22-2-222-2-2-22-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ722-22-2-22-22-22-222-2-22-22222-22-2-222-2-2-22-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ732-2-222-2-222-2-222-22-2-222-22-2-2222-22-22-2-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ742-2-222-2-222-2-222-22-2-222-22-2-2222-22-22-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ752-2-222-2-222-2-222-2-222-2-22-222-2-2-2-222-2220000000000000000000000000000000000000000000000002-22-2-22-22
χ762-2-222-2-222-2-222-2-222-2-22-222-2-2-2-222-222000000000000000000000000000000000000000000000000-22-222-22-2
χ772-2-222-2-22-222-2-222-2-222-2-222-2-2-22-2-22220000000000000000000000000000000000000000000000002-2-222-2-22
χ782-2-222-2-22-222-2-222-2-222-2-222-2-2-22-2-2222000000000000000000000000000000000000000000000000-222-2-222-2
χ792-2-222-2-22-222-2-22-222-2-222-2-22222-22-2-2-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ802-2-222-2-22-222-2-22-222-2-222-2-22222-22-2-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ812-2-22-222-22-2-22-222-2-22-222-2-22-2-22-22-22200000000000000000000000000000000000000002-22-22-22-200000000
χ822-2-22-222-22-2-22-222-2-22-222-2-22-2-22-22-2220000000000000000000000000000000000000000-22-22-22-2200000000
χ832-2-22-222-22-2-22-22-222-22-2-222-2222-2-22-2-200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ842-2-22-222-22-2-22-22-222-22-2-222-2222-2-22-2-20000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ852-2-22-222-2-222-22-22-2-22-22-222-222-222-2-2-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ862-2-22-222-2-222-22-22-2-22-22-222-222-222-2-2-20000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ872-2-22-222-2-222-22-2-222-22-22-2-22-2-2-22-222200000000000000000000000000000000000000002-2-22-222-200000000
χ882-2-22-222-2-222-22-2-222-22-22-2-22-2-2-22-22220000000000000000000000000000000000000000-222-22-2-2200000000

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