Finite Group Databasebeta

← Group #160757

Character table — Group #160757

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444444444444444444488888888888888882222222244444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000002222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22222-2-222-2-2-2-2000000000000000000000000222222222222-2-2-2-22222-2-222-2-2-2-2000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000
χ21222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-200002i−2i002-20000000000000000222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-200002i−2i002-20000000000000000
χ22222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-20000−2i2i00-220000000000000000222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-20000−2i2i00-220000000000000000
χ23222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-22002-2002i−2i000000000000000000222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-22002-2002i−2i000000000000000000
χ24222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-2200-2200−2i2i000000000000000000222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-2200-2200−2i2i000000000000000000
χ25222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-22002-200−2i2i000000000000000000222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-22002-200−2i2i000000000000000000
χ26222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-2200-22002i−2i000000000000000000222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-2200-22002i−2i000000000000000000
χ27222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-200002i−2i00-220000000000000000222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-200002i−2i00-220000000000000000
χ28222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-20000−2i2i002-20000000000000000222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-20000−2i2i002-20000000000000000
χ2922-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-20000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000022-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-20000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ3022-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-2000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000022-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-2000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ3122-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-220000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000022-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-220000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000
χ3222-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-22000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000022-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-22000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000
χ3322-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-220000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000022-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-220000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000
χ3422-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-22000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000022-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-22000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000
χ3522-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-20000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000022-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-20000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ3622-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-2000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000022-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-2000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ372-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-200000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i2-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-200000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i
χ382-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-20000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i2-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-20000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i
χ392-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-2200000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i2-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-2200000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i
χ402-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-220000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i2-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-220000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i
χ412-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-2200000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i2-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-2200000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i
χ422-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-220000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i2-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-220000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i
χ432-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-200000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i2-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-200000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i
χ442-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-20000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i2-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-20000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i
χ4544-4-444-4-4000000004-4-440000000000000000000000000000000044-4-444-4-4000000004-4-4400000000000000000000000000000000
χ4644-4-444-4-400000000-444-40000000000000000000000000000000044-4-444-4-400000000-444-400000000000000000000000000000000
χ474-444-44-4-400004-4-440000000000000000000000000000000000004-444-44-4-400004-4-44000000000000000000000000000000000000
χ484-444-44-4-40000-444-40000000000000000000000000000000000004-444-44-4-40000-444-4000000000000000000000000000000000000
χ494-4-444-44-40000000000000000004i−4i0000000000000000000000004-4-444-44-40000000000000000004i−4i000000000000000000000000
χ504-4-444-44-4000000000000000000−4i4i0000000000000000000000004-4-444-44-4000000000000000000−4i4i000000000000000000000000
χ514-4-4-4-44444-4-4400000000000000000000000000000000000000004-4-4-4-44444-4-440000000000000000000000000000000000000000
χ524-4-4-4-4444-444-400000000000000000000000000000000000000004-4-4-4-4444-444-40000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ57111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii
χ58111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i
χ59111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ60111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ6111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ6211111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ6311111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ6411111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ6511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ6611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ6711111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ6811111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ692222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222000000000000000000000000
χ70222222222222-2-2-2-22222-2-222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222000000000000000000000000
χ7122222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ73222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-200002i−2i002-20000000000000000-2-2-2222-220000−2i−2i2i2i−2i−2i2i2i0000-220000−2i2i00-220000000000000000
χ74222-2-2-22-200002i2i−2i−2i2i2i−2i−2i00002-20000−2i2i00-220000000000000000-2-2-2222-220000−2i−2i2i2i−2i−2i2i2i0000-2200002i−2i002-20000000000000000
χ75222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-22002-2002i−2i000000000000000000-2-2-2222-220000−2i−2i2i2i2i2i−2i−2i00002-200-2200−2i2i000000000000000000
χ76222-2-2-22-200002i2i−2i−2i−2i−2i2i2i0000-2200-2200−2i2i000000000000000000-2-2-2222-220000−2i−2i2i2i2i2i−2i−2i00002-2002-2002i−2i000000000000000000
χ77222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-22002-200−2i2i000000000000000000-2-2-2222-2200002i2i−2i−2i−2i−2i2i2i00002-200-22002i−2i000000000000000000
χ78222-2-2-22-20000−2i−2i2i2i2i2i−2i−2i0000-2200-22002i−2i000000000000000000-2-2-2222-2200002i2i−2i−2i−2i−2i2i2i00002-2002-200−2i2i000000000000000000
χ79222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-200002i−2i00-220000000000000000-2-2-2222-2200002i2i−2i−2i2i2i−2i−2i0000-220000−2i2i002-20000000000000000
χ80222-2-2-22-20000−2i−2i2i2i−2i−2i2i2i00002-20000−2i2i002-20000000000000000-2-2-2222-2200002i2i−2i−2i2i2i−2i−2i0000-2200002i−2i00-220000000000000000
χ8122-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-20000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000-2-22-2222-2−2i−2i2i2i0000−2i2i−2i2i00-22000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ8222-22-2-2-222i2i−2i−2i00002i−2i2i−2i002-2000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000-2-22-2222-2−2i−2i2i2i0000−2i2i−2i2i00-220000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ8322-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-220000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000-2-22-2222-2−2i−2i2i2i00002i−2i2i−2i002-2000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000
χ8422-22-2-2-222i2i−2i−2i0000−2i2i−2i2i00-22000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000-2-22-2222-2−2i−2i2i2i00002i−2i2i−2i002-20000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000
χ8522-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-220000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000-2-22-2222-22i2i−2i−2i0000−2i2i−2i2i002-2000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000
χ8622-22-2-2-22−2i−2i2i2i00002i−2i2i−2i00-22000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000-2-22-2222-22i2i−2i−2i0000−2i2i−2i2i002-20000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000
χ8722-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-20000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000-2-22-2222-22i2i−2i−2i00002i−2i2i−2i00-22000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ8822-22-2-2-22−2i−2i2i2i0000−2i2i−2i2i002-2000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000-2-22-2222-22i2i−2i−2i00002i−2i2i−2i00-220000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ892-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-200000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i-22-22-222-2−2i2i−2i2i−2i2i−2i2i0000-220000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i
χ902-22-22-2-222i−2i2i−2i2i−2i2i−2i00002-20000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i-22-22-222-2−2i2i−2i2i−2i2i−2i2i0000-2200000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i
χ912-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-2200000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i-22-22-222-2−2i2i−2i2i2i−2i2i−2i00002-20000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i
χ922-22-22-2-222i−2i2i−2i−2i2i−2i2i0000-220000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i-22-22-222-2−2i2i−2i2i2i−2i2i−2i00002-200000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i
χ932-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-2200000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i-22-22-222-22i−2i2i−2i−2i2i−2i2i00002-20000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i
χ942-22-22-2-22−2i2i−2i2i2i−2i2i−2i0000-220000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i-22-22-222-22i−2i2i−2i−2i2i−2i2i00002-200000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i
χ952-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-200000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i-22-22-222-22i−2i2i−2i2i−2i2i−2i0000-220000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i
χ962-22-22-2-22−2i2i−2i2i−2i2i−2i2i00002-20000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i-22-22-222-22i−2i2i−2i2i−2i2i−2i0000-2200000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i
χ9744-4-444-4-4000000004-4-4400000000000000000000000000000000-4-444-4-44400000000-444-400000000000000000000000000000000
χ9844-4-444-4-400000000-444-400000000000000000000000000000000-4-444-4-444000000004-4-4400000000000000000000000000000000
χ994-444-44-4-400004-4-44000000000000000000000000000000000000-44-4-44-4440000-444-4000000000000000000000000000000000000
χ1004-444-44-4-40000-444-4000000000000000000000000000000000000-44-4-44-44400004-4-44000000000000000000000000000000000000
χ1014-4-444-44-40000000000000000004i−4i000000000000000000000000-444-4-44-44000000000000000000−4i4i000000000000000000000000
χ1024-4-444-44-4000000000000000000−4i4i000000000000000000000000-444-4-44-440000000000000000004i−4i000000000000000000000000
χ1034-4-4-4-44444-4-440000000000000000000000000000000000000000-44444-4-4-4-444-40000000000000000000000000000000000000000
χ1044-4-4-4-4444-444-40000000000000000000000000000000000000000-44444-4-4-44-4-440000000000000000000000000000000000000000

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