Finite Group Databasebeta

← Group #72340199

Character table — Group #72340199

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1123344688888121216161616161616162424242424242432323232323232323232323211233446888881212161616161616161624242424242424323232323232323232323232
order12422224222242233666666444444466666666121212122242222422224226666666644444446666666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ611111111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ711111-1-1111-1-1-1-1-111-1-1-1-111-11111-1-111-1-111-1-11-11-111111-1-1111-1-1-1-1-111-1-1-1-111-11111-1-111-1-111-1-11-11-1
χ811111-1-1111-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i3211111-1-1111-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32
χ911111-1-1111-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i3211111-1-1111-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32
χ1011111-1-11-1-111-1-1-111-1-1-1-111-111-1-111-1-111-1-1111-11-111111-1-11-1-111-1-1-111-1-1-1-111-111-1-111-1-111-1-1111-11-1
χ1111111-1-11-1-111-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i3211111-1-11-1-111-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32
χ1211111-1-11-1-111-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i3211111-1-11-1-111-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32
χ1311-11111-11-11-1-1-1-1111111111-111-11-11-11-11-11-1-1-1-1-111-11111-11-11-1-1-1-1111111111-111-11-11-11-11-11-1-1-1-1-1
χ1411-11111-11-11-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-111-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i3211-11111-11-11-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-111-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i32
χ1511-11111-11-11-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-111-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i3211-11111-11-11-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-111-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i32
χ1611-11111-1-11-11-1-1-1111111111-11-11-11-11-11-11-11-1-1-1-111-11111-1-11-11-1-1-1111111111-11-11-11-11-11-11-11-1-1-1-1
χ1711-11111-1-11-11-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i321+i321+i3211-11111-1-11-11-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i321+i321+i32
χ1811-11111-1-11-11-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i321−i321−i3211-11111-1-11-11-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i321−i321−i32
χ1911-111-1-1-11-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-11-1111-111-1-1-11-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-11-11
χ2011-111-1-1-11-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-111-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i3211-111-1-1-11-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-111-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ2111-111-1-1-11-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-111-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i3211-111-1-1-11-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-111-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ2211-111-1-1-1-111-111111-1-1-1-111-1-11-111-1-111-1-111-1-11-1111-111-1-1-1-111-111111-1-1-1-111-1-11-111-1-111-1-111-1-11-11
χ2311-111-1-1-1-111-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-11-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i3211-111-1-1-1-111-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-11-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ2411-111-1-1-1-111-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-11-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i3211-111-1-1-1-111-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-11-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ253333333333333-1-100000000-1-1-1-1-1-1-10000000000003333333333333-1-100000000-1-1-1-1-1-1-1000000000000
χ2633333333-3-3-3-33-1-100000000-1-1-1111100000000000033333333-3-3-3-33-1-100000000-1-1-11111000000000000
χ2733333-3-3333-3-3-311000000001-1-1-1-11100000000000033333-3-3333-3-3-311000000001-1-1-1-111000000000000
χ2833333-3-33-3-333-311000000001-1-111-1-100000000000033333-3-33-3-333-311000000001-1-111-1-1000000000000
χ2933-33333-33-33-3-31100000000-11-1-11-1100000000000033-33333-33-33-3-31100000000-11-1-11-11000000000000
χ3033-33333-3-33-33-31100000000-11-11-11-100000000000033-33333-3-33-33-31100000000-11-11-11-1000000000000
χ3133-333-3-3-33-3-333-1-10000000011-1-111-100000000000033-333-3-3-33-3-333-1-10000000011-1-111-1000000000000
χ3233-333-3-3-3-333-33-1-10000000011-11-1-1100000000000033-333-3-3-3-333-33-1-10000000011-11-1-11000000000000
χ334-404-44-400000000-2-22-22-22200000000000000000004-404-44-400000000-2-22-22-2220000000000000000000
χ344-404-44-4000000001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i300000000000000000004-404-44-4000000001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000000000000000
χ354-404-44-4000000001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i300000000000000000004-404-44-4000000001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i30000000000000000000
χ364-404-4-4400000000-2-2-22-222200000000000000000004-404-4-4400000000-2-2-22-22220000000000000000000
χ374-404-4-44000000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i300000000000000000004-404-4-44000000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i30000000000000000000
χ384-404-4-44000000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i300000000000000000004-404-4-44000000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i30000000000000000000
χ39121212-4-400-40000000000000000000000000000000000121212-4-400-40000000000000000000000000000000000
χ401212-12-4-400400000000000000000000000000000000001212-12-4-40040000000000000000000000000000000000
χ4112-120-44000000004-400000000000000000000000000012-120-44000000004-4000000000000000000000000000
χ4212-120-4400000000-4400000000000000000000000000012-120-4400000000-44000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i32-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32
χ45111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32
χ4611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4711111111-1-1-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11111-1-1-11−i321+i321−i321−i321+i321+i321−i321+i32-1-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32
χ4811111111-1-1-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11111-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32-1-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32
χ4911111-1-1111-1-1-1-1-111-1-1-1-111-11111-1-111-1-111-1-11-11-1-1-1-1-1-111-1-1-111111-1-11111-1-11-1-1-1-111-1-111-1-111-11-11
χ5011111-1-1111-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-11111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32-1-1-1-1-111-1-1-1111111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i32−1+i321+i32−1−i32
χ5111111-1-1111-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-11111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32-1-1-1-1-111-1-1-1111111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i32−1−i321−i32−1+i32
χ5211111-1-11-1-111-1-1-111-1-1-1-111-111-1-111-1-111-1-1111-11-1-1-1-1-1-111-111-1-1111-1-11111-1-11-1-111-1-111-1-111-1-1-11-11
χ5311111-1-11-1-111-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32-1-1-1-1-111-111-1-11111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i32
χ5411111-1-11-1-111-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32-1-1-1-1-111-111-1-11111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i32
χ5511-11111-11-11-1-1-1-1111111111-111-11-11-11-11-11-1-1-1-1-1-1-11-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-1-11-11-11-11-11-111111
χ5611-11111-11-11-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-111-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321−i321+i321+i32-1-11-1-1-1-11-11-111111−i321+i321−i321−i321+i321+i321−i321+i32-11-1-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ5711-11111-11-11-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-111-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321+i321−i321−i32-1-11-1-1-1-11-11-111111+i321−i321+i321+i321−i321−i321+i321−i32-11-1-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ5811-11111-1-11-11-1-1-1111111111-11-11-11-11-11-11-11-1-1-1-1-1-11-1-1-1-111-11-1111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11111
χ5911-11111-1-11-11-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-11-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i321+i321+i32-1-11-1-1-1-111-11-11111−i321+i321−i321−i321+i321+i321−i321+i32-11-11-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32
χ6011-11111-1-11-11-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-11-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i321−i321−i32-1-11-1-1-1-111-11-11111+i321−i321+i321+i321−i321−i321+i321−i32-11-11-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32
χ6111-111-1-1-11-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1-11-1-1111-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11-11-1
χ6211-111-1-1-11-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-111-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i32-1-11-1-1111-111-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3211-1-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ6311-111-1-1-11-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-111-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i32-1-11-1-1111-111-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3211-1-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ6411-111-1-1-1-111-111111-1-1-1-111-1-11-111-1-111-1-111-1-11-11-1-11-1-11111-1-11-1-1-1-1-11111-1-111-11-1-111-1-111-1-111-11-1
χ6511-111-1-1-1-111-1111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-11-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i32-1-11-1-11111-1-11-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3211-11-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ6611-111-1-1-1-111-1111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-11-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i32-1-11-1-11111-1-11-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3211-11-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ673333333333333-1-100000000-1-1-1-1-1-1-1000000000000-3-3-3-3-3-3-3-3-3-3-3-3-311000000001111111000000000000
χ6833333333-3-3-3-33-1-100000000-1-1-11111000000000000-3-3-3-3-3-3-3-33333-31100000000111-1-1-1-1000000000000
χ6933333-3-3333-3-3-311000000001-1-1-1-111000000000000-3-3-3-3-333-3-3-3333-1-100000000-11111-1-1000000000000
χ7033333-3-33-3-333-311000000001-1-111-1-1000000000000-3-3-3-3-333-333-3-33-1-100000000-111-1-111000000000000
χ7133-33333-33-33-3-31100000000-11-1-11-11000000000000-3-33-3-3-3-33-33-333-1-1000000001-111-11-1000000000000
χ7233-33333-3-33-33-31100000000-11-11-11-1000000000000-3-33-3-3-3-333-33-33-1-1000000001-11-11-11000000000000
χ7333-333-3-3-33-3-333-1-10000000011-1-111-1000000000000-3-33-3-3333-333-3-31100000000-1-111-1-11000000000000
χ7433-333-3-3-3-333-33-1-10000000011-11-1-11000000000000-3-33-3-33333-3-33-31100000000-1-11-111-1000000000000
χ754-404-44-400000000-2-22-22-2220000000000000000000-440-44-440000000022-22-22-2-20000000000000000000
χ764-404-44-4000000001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000000000000000-440-44-4400000000−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i30000000000000000000
χ774-404-44-4000000001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i30000000000000000000-440-44-4400000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i30000000000000000000
χ784-404-4-4400000000-2-2-22-22220000000000000000000-440-444-400000000222-22-2-2-20000000000000000000
χ794-404-4-44000000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i30000000000000000000-440-444-400000000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i30000000000000000000
χ804-404-4-44000000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i30000000000000000000-440-444-400000000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i30000000000000000000
χ81121212-4-400-40000000000000000000000000000000000-12-12-12440040000000000000000000000000000000000
χ821212-12-4-40040000000000000000000000000000000000-12-12124400-40000000000000000000000000000000000
χ8312-120-44000000004-4000000000000000000000000000-121204-400000000-44000000000000000000000000000
χ8412-120-4400000000-44000000000000000000000000000-121204-4000000004-4000000000000000000000000000

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