Finite Group Databasebeta

← Group #8532

Character table — Group #8532

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244444444444222244444444888888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-1-1-1-1-1111iiii−i−i−i−i1-11-11-11-111-1-1i−ii−ii−i
χ101111-1-1-1-1-1-1-1111iiii−i−i−i−i1-1-111-1-11-1-111i−i−ii−ii
χ111111-1-1-1-1-1-1-1111iiii−i−i−i−i-111-1-111-1-1-111−iii−i−ii
χ121111-1-1-1-1-1-1-1111iiii−i−i−i−i-11-11-11-1111-1-1−ii−iii−i
χ131111-1-1-1-1-1-1-1111−i−i−i−iiiii1-11-11-11-111-1-1−ii−ii−ii
χ141111-1-1-1-1-1-1-1111−i−i−i−iiiii1-1-111-1-11-1-111−iii−ii−i
χ151111-1-1-1-1-1-1-1111−i−i−i−iiiii-111-1-111-1-1-111i−i−iii−i
χ161111-1-1-1-1-1-1-1111−i−i−i−iiiii-11-11-11-1111-1-1i−ii−i−ii
χ17222222-222-2-2-22-200000000002200-2-20000000000
χ18222222-222-2-2-22-20000000000-2-200220000000000
χ1922222-222-22-2-2-22000000002200-2-2000000000000
χ2022222-222-22-2-2-2200000000-2-20022000000000000
χ2122222-2-22-2-222-2-200000000000000002-22-2000000
χ2222222-2-22-2-222-2-20000000000000000-22-22000000
χ232222-222-222-22-2-200000000000000002-2-22000000
χ242222-222-222-22-2-20000000000000000-222-2000000
χ252222-22-2-22-22-2-22000000002-200-22000000000000
χ262222-22-2-22-22-2-2200000000-22002-2000000000000
χ272222-2-22-2-222-22-200000000002-200-220000000000
χ282222-2-22-2-222-22-20000000000-22002-20000000000
χ2944-4-4400-400000022-2-222-2-2000000000000000000
χ3044-4-4400-4000000-2-222-2-222000000000000000000
χ3144-4-4-40040000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ3244-4-4-4004000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ334-44-400400-400002i−2i2i−2i2i−2i2i−2i000000000000000000
χ344-44-400400-40000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ354-44-400-400400002-22-2-22-22000000000000000000
χ364-44-400-40040000-22-222-22-2000000000000000000
χ374-4-440400-4000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ384-4-440400-400000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ394-4-440-4004000002-2-22-222-2000000000000000000
χ404-4-440-400400000-222-22-2-22000000000000000000

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