Finite Group Databasebeta

← Group #10897642

Character table — Group #10897642

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order1244222344444446661212121212121212121212122244444444666666888812121212121212121212121212121212121288888824242424242424242424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-1
χ41111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-11-111-1-1-11-11
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-11-1-1111-11-1
χ911111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-1-1-1111-1-11
χ1011111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-111-1
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ1311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111-111-1
χ1411111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-11-1-11
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ172222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111000000000000
χ192222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-111112222-1-1-1-1-1-1111111111111-2-222-2-2-1-1-1-1-1-1-1-111111111000000000000
χ202222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-11111-2-2-2-2-1-1-1-1-1-111111111111122-2-22211111111-1-1-1-1-1-1-1-1000000000000
χ212222222-1-2-2-2-2222-1-1-111111111-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-12222-1-11111-1-1-1-111111111-2-2-2-222-1-1-1-11111-1-1-1-11111000000000000
χ222222222-1-2-2-2-2222-1-1-111111111-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-1000000000000
χ232222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-2-2-2-22222-1-111112222-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-1-1-1-1000000000000
χ242222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-2-2-2-22222-1-11111-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-2-222221111-1-1-1-1-1-1-1-11111000000000000
χ2522222-2-2222222-2-22222222222222220000-2-20000-2-2000022-2-2-2-2-2-2-2-2000000000000002-20022-2-222-2-200000000000000000000
χ2622222-2-2222222-2-22222222222222220000-2-20000-2-20000-2-222-2-2-2-2-2-200000000000000-2200-2-222-2-22200000000000000000000
χ2722222-2-22-2-2-2-22-2-2222-2-2-2-2-2-2-2-222220000220000-2-2000022-2-2-2-2222200000000000000-220022-2-2-2-22200000000000000000000
χ2822222-2-22-2-2-2-22-2-2222-2-2-2-2-2-2-2-222220000220000-2-20000-2-222-2-22222000000000000002-200-2-22222-2-200000000000000000000
χ2922222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000011−i3−i3i3i322-2-2111111−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3002-200-1-111-1-111−i3−i3i3i3−i3−i3i3i3000000000000
χ3022222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000011−i3−i3i3i3-2-222111111−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300-220011-1-111-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ3122222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000011i3i3−i3−i322-2-2111111i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002-200-1-111-1-111i3i3−i3−i3i3i3−i3−i3000000000000
χ3222222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000011i3i3−i3−i3-2-222111111i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300-220011-1-111-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ3322222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-1000022000011−i3−i3i3i322-2-211-1-1-1-1−i3−i3i3i3i3i3i3i3−i3−i3−i3−i300-2200-1-11111-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ3422222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-1000022000011−i3−i3i3i3-2-22211-1-1-1-1−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3002-20011-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000
χ3522222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-1000022000011i3i3−i3−i322-2-211-1-1-1-1i3i3−i3−i3−i3−i3−i3−i3i3i3i3i300-2200-1-11111-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ3622222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-1000022000011i3i3−i3−i3-2-22211-1-1-1-1i3i3−i3−i3−i3−i3−i3−i3i3i3i3i3002-20011-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000
χ3722-2-222220000-2-2-222200000000-2-2-2-222-2-20000002222222i−2i2i−2i-2-20000-2-2-2-20000000000002i−2i2i−2i2i−2i00002i−2i2i−2i0000000000000000
χ3822-2-222220000-2-2-222200000000-2-2-2-222-2-2000000222222−2i2i−2i2i-2-20000-2-2-2-2000000000000−2i2i−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ3922-2-222220000-2-2-222200000000-2-2-2-2-2-22200000022-2-2-2-22i−2i2i−2i-2-200002222000000000000−2i2i2i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ4022-2-222220000-2-2-222200000000-2-2-2-2-2-22200000022-2-2-2-2−2i2i−2i2i-2-2000022220000000000002i−2i−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ4122-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111122-2-2000000-1-1-1-1-1-12i−2i2i−2i11−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i300002i−2i−ii−ii3−33−3−ii−ii3−33−3000000000000
χ4222-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111122-2-2000000-1-1-1-1-1-1−2i2i−2i2i11−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i30000−2i2ii−ii−i−33−33i−ii−i−33−33000000000000
χ4322-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i31111-2-222000000-1-111112i−2i2i−2i11−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000−2i2i−ii−ii3−33−3i−ii−i−33−33000000000000
χ4422-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i31111-2-222000000-1-11111−2i2i−2i2i11−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300002i−2ii−ii−i−33−33−ii−ii3−33−3000000000000
χ4522-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111122-2-2000000-1-1-1-1-1-12i−2i2i−2i11i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i300002i−2i−ii−ii−33−33−ii−ii−33−33000000000000
χ4622-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111122-2-2000000-1-1-1-1-1-1−2i2i−2i2i11i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i30000−2i2ii−ii−i3−33−3i−ii−i3−33−3000000000000
χ4722-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i31111-2-222000000-1-111112i−2i2i−2i11i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000−2i2i−ii−ii−33−33i−ii−i3−33−3000000000000
χ4822-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i31111-2-222000000-1-11111−2i2i−2i2i11i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300002i−2ii−ii−i3−33−3−ii−ii−33−33000000000000
χ4922-2-22-2-220000-22222200000000-2-2-2-200000022-2-2-2-200002i−2i−2i2i220000000022-2-2-2-2222i−2i00002i−2i−2i2i000000002i−2i−2i2i000000000000
χ5022-2-22-2-220000-22222200000000-2-2-2-200000022-2-2-2-20000−2i2i2i−2i220000000022-2-2-2-222−2i2i0000−2i2i2i−2i00000000−2i2i2i−2i000000000000
χ5122-2-22-2-220000-22222200000000-2-2-2-2000000-2-222-2-200002i−2i−2i2i2200000000-2-22222-2-2−2i2i00002i−2i−2i2i00000000−2i2i2i−2i000000000000
χ5222-2-22-2-220000-22222200000000-2-2-2-2000000-2-222-2-20000−2i2i2i−2i2200000000-2-22222-2-22i−2i0000−2i2i2i−2i000000002i−2i−2i2i000000000000
χ5322-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i3111100000022-2-211−i3−i3i3i32i−2i−2i2i-1-1i3i3−i3−i3i3i3−i3−i3-1-11111-1-12i−2i0000−iii−i3−3−333−3−33−iii−i000000000000
χ5422-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i3111100000022-2-211−i3−i3i3i3−2i2i2i−2i-1-1i3i3−i3−i3i3i3−i3−i3-1-11111-1-1−2i2i0000i−i−ii−333−3−333−3i−i−ii000000000000
χ5522-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i31111000000-2-22211i3i3−i3−i32i−2i−2i2i-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-111−2i2i0000−iii−i3−3−33−333−3i−i−ii000000000000
χ5622-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i31111000000-2-22211i3i3−i3−i3−2i2i2i−2i-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-1112i−2i0000i−i−ii−333−33−3−33−iii−i000000000000
χ5722-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i3111100000022-2-211i3i3−i3−i32i−2i−2i2i-1-1−i3−i3i3i3−i3−i3i3i3-1-11111-1-12i−2i0000−iii−i−333−3−333−3−iii−i000000000000
χ5822-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i3111100000022-2-211i3i3−i3−i3−2i2i2i−2i-1-1−i3−i3i3i3−i3−i3i3i3-1-11111-1-1−2i2i0000i−i−ii3−3−333−3−33i−i−ii000000000000
χ5922-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i31111000000-2-22211−i3−i3i3i32i−2i−2i2i-1-1−i3−i3i3i3i3i3−i3−i311-1-1-1-111−2i2i0000−iii−i−333−33−3−33i−i−ii000000000000
χ6022-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i31111000000-2-22211−i3−i3i3i3−2i2i2i−2i-1-1−i3−i3i3i3i3i3−i3−i311-1-1-1-1112i−2i0000i−i−ii3−3−33−333−3−iii−i000000000000
χ6122-2-2-22-222i2i−2i−2i22-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i00002-2000000002-22i−2i2i−2i0000000000000000000000000000000000020-2002i−2i0000
χ6222-2-2-22-222i2i−2i−2i22-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i00002-2000000002-22i−2i2i−2i00000000000000000000000000000000000-20200−2i2i0000
χ6322-2-2-22-22−2i−2i2i2i22-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i00002-2000000002-2−2i2i−2i2i0000000000000000000000000000000000020-200−2i2i0000
χ6422-2-2-22-22−2i−2i2i2i22-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i00002-2000000002-2−2i2i−2i2i00000000000000000000000000000000000-202002i−2i0000
χ6522-2-2-2-2222i2i−2i−2i2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-20000−2i2i0000-2200000000-22−2i2i−2i2i000000000000000000000000000000000020-202i−2i000000
χ6622-2-2-2-2222i2i−2i−2i2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-20000−2i2i0000-2200000000-22−2i2i−2i2i0000000000000000000000000000000000-2020−2i2i000000
χ6722-2-2-2-222−2i−2i2i2i2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-200002i−2i0000-2200000000-222i−2i2i−2i000000000000000000000000000000000020-20−2i2i000000
χ6822-2-2-2-222−2i−2i2i2i2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-200002i−2i0000-2200000000-222i−2i2i−2i0000000000000000000000000000000000-20202i−2i000000
χ694444-44-440000-4-444-4-400000000-4-44400000000004-400000000-4400000000000000000000000000000000000000000000000000
χ704444-44-4-20000-4-44-2222323−23−23−23−23232322-2-20000000000-22000000002-223−23−23230000000000000000000000000000000000000000000000
χ714444-44-4-20000-4-44-222−23−2323232323−23−2322-2-20000000000-22000000002-2−232323−230000000000000000000000000000000000000000000000
χ724444-4-4440000-44-44-4-400000000-4-4440000000000-44000000004-400000000000000000000000000000000000000000000000000
χ734444-4-44-20000-44-4-2222323−23−23−23−23232322-2-200000000002-200000000-22−232323−230000000000000000000000000000000000000000000000
χ744444-4-44-20000-44-4-222−23−2323232323−23−2322-2-200000000002-200000000-2223−23−23230000000000000000000000000000000000000000000000
χ7544-4-4-44-4-24i4i−4i−4i44-4-222−2i−2i2i2i−2i−2i2i2i-2-22200004i−4i0000-2200000000-22−2i2i−2i2i0000000000000000000000000000000000000000000000
χ7644-4-4-44-4-2−4i−4i4i4i44-4-2222i2i−2i−2i2i2i−2i−2i-2-2220000−4i4i0000-2200000000-222i−2i2i−2i0000000000000000000000000000000000000000000000
χ7744-4-4-4-44-24i4i−4i−4i4-44-222−2i−2i2i2i−2i−2i2i2i-2-2220000−4i4i00002-2000000002-22i−2i2i−2i0000000000000000000000000000000000000000000000
χ7844-4-4-4-44-2−4i−4i4i4i4-44-2222i2i−2i−2i2i2i−2i−2i-2-22200004i−4i00002-2000000002-2−2i2i−2i2i0000000000000000000000000000000000000000000000
χ794-44i−4i00042+2i−2−2i2−2i−2+2i000-4002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i004i−4i2-22i−2i002-22i−2i002-22-200000000002i−2i2i−2i2-22i−2i2i−2i2-20000000000000000000000000000000000
χ804-44i−4i00042+2i−2−2i2−2i−2+2i000-4002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i004i−4i-22−2i2i00-22−2i2i00-22-220000000000−2i2i−2i2i-22−2i2i−2i2i-220000000000000000000000000000000000
χ814-44i−4i0004−2−2i2+2i−2+2i2−2i000-400−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i004i−4i2-22i−2i00-22−2i2i002-22-200000000002i−2i2i−2i-22−2i2i−2i2i-220000000000000000000000000000000000
χ824-44i−4i0004−2−2i2+2i−2+2i2−2i000-400−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i004i−4i-22−2i2i002-22i−2i00-22-220000000000−2i2i−2i2i2-22i−2i2i−2i2-20000000000000000000000000000000000
χ834-44i−4i000-22+2i−2−2i2−2i−2+2i0002−2i32i3−2ζ2+2ζ72ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ10−2ζ112ζ10+2ζ1123−23−2i2i2-22i−2i002-22i−2i00−1−i31+i3−1+i31−i300000000002ζ11−2ζ112ζ7−2ζ7−1−i31+i32ζ11−2ζ112ζ7−2ζ7−1+i31−i30000000000000000000000000000000000
χ844-44i−4i000-22+2i−2−2i2−2i−2+2i0002−2i32i3−2ζ2+2ζ72ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2ζ10+2ζ112ζ10−2ζ11−2ζ10−2ζ112ζ10+2ζ1123−23−2i2i-22−2i2i00-22−2i2i001+i3−1−i31−i3−1+i30000000000−2ζ112ζ11−2ζ72ζ71+i3−1−i3−2ζ112ζ11−2ζ72ζ71−i3−1+i30000000000000000000000000000000000
χ854-44i−4i000-22+2i−2−2i2−2i−2+2i00022i3−2i3−2ζ10+2ζ112ζ10−2ζ11−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2323−2i2i2-22i−2i002-22i−2i00−1+i31−i3−1−i31+i300000000002ζ7−2ζ72ζ11−2ζ11−1+i31−i32ζ7−2ζ72ζ11−2ζ11−1−i31+i30000000000000000000000000000000000
χ864-44i−4i000-22+2i−2−2i2−2i−2+2i00022i3−2i3−2ζ10+2ζ112ζ10−2ζ11−2ζ10−2ζ112ζ10+2ζ11−2ζ2+2ζ72ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7−2323−2i2i-22−2i2i00-22−2i2i001−i3−1+i31+i3−1−i30000000000−2ζ72ζ7−2ζ112ζ111−i3−1+i3−2ζ72ζ7−2ζ112ζ111+i3−1−i30000000000000000000000000000000000
χ874-44i−4i000-2−2−2i2+2i−2+2i2−2i0002−2i32i32ζ2−2ζ7−2ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ10+2ζ11−2ζ10−2ζ1123−23−2i2i2-22i−2i00-22−2i2i00−1−i31+i3−1+i31−i300000000002ζ11−2ζ112ζ7−2ζ71+i3−1−i3−2ζ112ζ11−2ζ72ζ71−i3−1+i30000000000000000000000000000000000
χ884-44i−4i000-2−2−2i2+2i−2+2i2−2i0002−2i32i32ζ2−2ζ7−2ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ10−2ζ11−2ζ10+2ζ112ζ10+2ζ11−2ζ10−2ζ1123−23−2i2i-22−2i2i002-22i−2i001+i3−1−i31−i3−1+i30000000000−2ζ112ζ11−2ζ72ζ7−1−i31+i32ζ11−2ζ112ζ7−2ζ7−1+i31−i30000000000000000000000000000000000
χ894-44i−4i000-2−2−2i2+2i−2+2i2−2i00022i3−2i32ζ10−2ζ11−2ζ10+2ζ112ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−2323−2i2i2-22i−2i00-22−2i2i00−1+i31−i3−1−i31+i300000000002ζ7−2ζ72ζ11−2ζ111−i3−1+i3−2ζ72ζ7−2ζ112ζ111+i3−1−i30000000000000000000000000000000000
χ904-44i−4i000-2−2−2i2+2i−2+2i2−2i00022i3−2i32ζ10−2ζ11−2ζ10+2ζ112ζ10+2ζ11−2ζ10−2ζ112ζ2−2ζ7−2ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−2323−2i2i-22−2i2i002-22i−2i001−i3−1+i31+i3−1−i30000000000−2ζ72ζ7−2ζ112ζ11−1+i31−i32ζ7−2ζ72ζ11−2ζ11−1−i31+i30000000000000000000000000000000000
χ914-4−4i4i00042−2i−2+2i2+2i−2−2i000-4002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00−4i4i2-2−2i2i002-2−2i2i002-22-20000000000−2i2i−2i2i2-2−2i2i−2i2i2-20000000000000000000000000000000000
χ924-4−4i4i00042−2i−2+2i2+2i−2−2i000-4002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00−4i4i-222i−2i00-222i−2i00-22-2200000000002i−2i2i−2i-222i−2i2i−2i-220000000000000000000000000000000000
χ934-4−4i4i0004−2+2i2−2i−2−2i2+2i000-400−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00−4i4i2-2−2i2i00-222i−2i002-22-20000000000−2i2i−2i2i-222i−2i2i−2i-220000000000000000000000000000000000
χ944-4−4i4i0004−2+2i2−2i−2−2i2+2i000-400−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00−4i4i-222i−2i002-2−2i2i00-22-2200000000002i−2i2i−2i2-2−2i2i−2i2i2-20000000000000000000000000000000000
χ954-4−4i4i000-22−2i−2+2i2+2i−2−2i0002−2i32i3−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−23232i−2i2-2−2i2i002-2−2i2i00−1−i31+i3−1+i31−i30000000000−2ζ112ζ11−2ζ72ζ7−1−i31+i3−2ζ112ζ11−2ζ72ζ7−1+i31−i30000000000000000000000000000000000
χ964-4−4i4i000-22−2i−2+2i2+2i−2−2i0002−2i32i3−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−23232i−2i-222i−2i00-222i−2i001+i3−1−i31−i3−1+i300000000002ζ11−2ζ112ζ7−2ζ71+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i30000000000000000000000000000000000
χ974-4−4i4i000-22−2i−2+2i2+2i−2−2i00022i3−2i3−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ723−232i−2i2-2−2i2i002-2−2i2i00−1+i31−i3−1−i31+i30000000000−2ζ72ζ7−2ζ112ζ11−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i30000000000000000000000000000000000
χ984-4−4i4i000-22−2i−2+2i2+2i−2−2i00022i3−2i3−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ723−232i−2i-222i−2i00-222i−2i001−i3−1+i31+i3−1−i300000000002ζ7−2ζ72ζ11−2ζ111−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i30000000000000000000000000000000000
χ994-4−4i4i000-2−2+2i2−2i−2−2i2+2i0002−2i32i32ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ11−23232i−2i2-2−2i2i00-222i−2i00−1−i31+i3−1+i31−i30000000000−2ζ112ζ11−2ζ72ζ71+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i30000000000000000000000000000000000
χ1004-4−4i4i000-2−2+2i2−2i−2−2i2+2i0002−2i32i32ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ11−23232i−2i-222i−2i002-2−2i2i001+i3−1−i31−i3−1+i300000000002ζ11−2ζ112ζ7−2ζ7−1−i31+i3−2ζ112ζ11−2ζ72ζ7−1+i31−i30000000000000000000000000000000000
χ1014-4−4i4i000-2−2+2i2−2i−2−2i2+2i00022i3−2i32ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ723−232i−2i2-2−2i2i00-222i−2i00−1+i31−i3−1−i31+i30000000000−2ζ72ζ7−2ζ112ζ111−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i30000000000000000000000000000000000
χ1024-4−4i4i000-2−2+2i2−2i−2−2i2+2i00022i3−2i32ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ723−232i−2i-222i−2i002-2−2i2i001−i3−1+i31+i3−1−i300000000002ζ7−2ζ72ζ11−2ζ11−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i30000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.