Finite Group Databasebeta

← Group #13155425

Character table — Group #13155425

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order124423334666121212121212333666666121212121212121212366666612121212121212224424888824242424242424242444444444661212666612121212242424242424242424242424612121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ911-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-11-1i−ii−iii−i−iii−i−i-11ii−i−iii−i−i11-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-11ii−i−iii−i−i1-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-11-1−ii−ii−i−iii−i−iii-11−i−iii−i−iii11-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-11−i−iii−i−iii1-1
χ1111-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-11i−ii−iii−i−iii−i−i-11−i−iii−i−iii11-1-1-1-1-1-11111i−ii−iii−i−iii−i−i-11−i−iii−i−iii-11
χ1211-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-11−ii−ii−i−iii−i−iii-11ii−i−iii−i−i11-1-1-1-1-1-11111−ii−ii−i−iii−i−iii-11ii−i−iii−i−i-11
χ1311-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1111-1i−i−iiii−i−i−i−iii1-1ii−i−i−i−iii-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii1-1ii−i−i−i−iii-11
χ1411-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1111-1−iii−i−i−iiiii−i−i1-1−i−iiiii−i−i-1-1111111-1-1-1-1−iii−i−i−iiiii−i−i1-1−i−iiiii−i−i-11
χ1511-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-111-11i−i−iiii−i−i−i−iii1-1−i−iiiii−i−i-1-111-1-1-1-11111i−i−iiii−i−i−i−iii1-1−i−iiiii−i−i1-1
χ1611-1-1-11111111-1-1-1-1-1-1111-1111-1-1111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-111-11−iii−i−i−iiiii−i−i1-1ii−i−i−i−iii-1-111-1-1-1-11111−iii−i−i−iiiii−i−i1-1ii−i−i−i−iii1-1
χ172222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-12222002222-1-1-1-1-1-1-1-12200000000-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-10000000000
χ182222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1222200-2-2-2-2111111112200000000-1-1-1-100000000-2-2-2-211111111-1-10000000000
χ192222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1-2-2-2-20022-2-2-1-1-1-11111-2-20000000011110000000022-2-2-1-1-1-11111110000000000
χ202222222-1222-12222-1-1-1-12-1-1-122222-122-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1-2-2-2-200-2-2221111-1-1-1-1-2-200000000111100000000-2-2221111-1-1-1-1110000000000
χ21222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-1000022002200002222000000222200002-1-1-12-1-1-100-1-10000-1-1-1-1000000-1-1-1-100
χ22222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-100002200-2-20000-2-2-2-2000000-2-2-2-200002-1-1-12-1-1-1001100001111000000111100
χ23222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-10000-2-2002200002222000000-2-2-2-20000-2111-211100-1-10000-1-1-1-1000000111100
χ24222222-1222-1222-1-1222-1-122-1-12-12-12-1-122-1-1-12-1-1-1-1-12-1-1-1-1-1-10000-2-200-2-20000-2-2-2-200000022220000-2111-2111001100001111000000-1-1-1-100
χ2522222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-100002222002222000000222200000000-12-1-1-12-1-1-1-100-1-1-1-1000000-1-1-1-1000000
χ2622222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1000022-2-200-2-2-2-2000000-2-2-2-200000000-12-1-1-12-1-1110011110000001111000000
χ2722222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-10000-2-222002222000000-2-2-2-2000000001-2111-211-1-100-1-1-1-10000001111000000
χ2822222-1222-122-1-12222-12-12-12-1-12-122-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-10000-2-2-2-200-2-2-2-20000002222000000001-2111-21111001111000000-1-1-1-1000000
χ292222-2222-2222222222222-2222-2-2-2-2-22222222-2-2-2-2-22-2-2-2-2-222222200000000000000-2-200000000222200000000000000000000-2-20000000000
χ302222-2222-2222222222222-2222-2-2-2-2-22222222-2-2-2-2-22-2-2-2-2-222-2-2-2-2000000000000002200000000-2-2-2-200000000000000000000220000000000
χ312222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-12222000000−i3i3−i3i3−i3i3−i3i3-2-200000000-1-1-1-1000000000000−i3i3−i3i3−i3i3−i3i3110000000000
χ322222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-12222000000i3−i3i3−i3i3−i3i3−i3-2-200000000-1-1-1-1000000000000i3−i3i3−i3i3−i3i3−i3110000000000
χ332222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1-2-2-2-2000000−i3i3−i3i3i3−i3i3−i322000000001111000000000000−i3i3−i3i3i3−i3i3−i3-1-10000000000
χ342222-222-1-222-12222-1-1-1-121-1-12-2-2-2-2122-1-1-1-1-111-211-111-211-1-1-2-2-2-2000000i3−i3i3−i3−i3i3−i3i322000000001111000000000000i3−i3i3−i3−i3i3−i3i3-1-10000000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-222-2-2000000000000002-20000000022-2-2000000000000000000002-20000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-22200000000000000-2200000000-2-22200000000000000000000-220000000000
χ3722-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-2111122-2-20000003−3−333−3−332-200000000-1-1110000000000003−3−333−3−33-110000000000
χ3822-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-2111122-2-2000000−333−3−333−32-200000000-1-111000000000000−333−3−333−3-110000000000
χ3922-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-21111-2-2220000003−3−33−333−3-220000000011-1-10000000000003−3−33−333−31-10000000000
χ4022-2-2222-1-222-1-2-2-2-211-1-12-1-1-1222-2-21-2-21111-1-1-12-1-1-111-21111-2-222000000−333−33−3−33-220000000011-1-1000000000000−333−33−3−331-10000000000
χ4122-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-11122-2-2002i−2i2i−2i−i−iii−i−iii-2200000000-1-111000000002i−2i2i−2i−i−iii−i−iii1-10000000000
χ4222-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-11122-2-200−2i2i−2i2iii−i−iii−i−i-2200000000-1-11100000000−2i2i−2i2iii−i−iii−i−i1-10000000000
χ4322-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-111-2-222002i−2i−2i2i−i−iiiii−i−i2-20000000011-1-1000000002i−2i−2i2i−i−iiiii−i−i-110000000000
χ4422-2-2-222-1222-1-2-2-2-211-1-121-1-12-2-222-1-2-21111-111-211-1-1-12-1-111-2-22200−2i2i2i−2iii−i−i−i−iii2-20000000011-1-100000000−2i2i2i−2iii−i−i−i−iii-110000000000
χ4522-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-11100002-2002i−2i00002i2i−2i−2i0000002i2i−2i−2i00002-1-1-1-211100−ii0000−i−iii000000−i−iii00
χ4622-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-11100002-200−2i2i0000−2i−2i2i2i000000−2i−2i2i2i00002-1-1-1-211100i−i0000ii−i−i000000ii−i−i00
χ4722-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-1110000-22002i−2i00002i2i−2i−2i000000−2i−2i2i2i0000-21112-1-1-100−ii0000−i−iii000000ii−i−i00
χ4822-2-2-22-1222-12-2-211-2-22-1-1-22-1-1-212-1211-2-211-1-21111-12-1-1-1-1110000-2200−2i2i0000−2i−2i2i2i0000002i2i−2i−2i0000-21112-1-1-100i−i0000ii−i−i000000−i−iii00
χ4922-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-11100002-22i−2i002i2i−2i−2i0000002i2i−2i−2i00000000-12-1-11-211−ii00−i−iii000000−i−iii000000
χ5022-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-11100002-2−2i2i00−2i−2i2i2i000000−2i−2i2i2i00000000-12-1-11-211i−i00ii−i−i000000ii−i−i000000
χ5122-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-1110000-222i−2i002i2i−2i−2i000000−2i−2i2i2i000000001-211-12-1-1−ii00−i−iii000000ii−i−i000000
χ5222-2-2-2-1222-12211-2-2-2-2-12-1-2-12-11-2-1221111-2-2-11-2111-1-12-1-1-1110000-22−2i2i00−2i−2i2i2i0000002i2i−2i−2i000000001-211-12-1-1i−i00ii−i−i000000−i−iii000000
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i2220-2-2-2000002i−2i2i−2i2i−2i200000-2000002i−2i2-22i−2i00000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i2-22i−2i00000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i2220-2-2-2000002i−2i2i−2i2i−2i200000-2000002i−2i2-22i−2i0000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i2-22i−2i0000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i2220-2-2-2000002i−2i2i−2i2i−2i200000-2000002i−2i-22−2i2i00000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i-22−2i2i00000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i00
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i2220-2-2-2000002i−2i2i−2i2i−2i200000-2000002i−2i-22−2i2i0000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i-22−2i2i0000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2220-2-2-200000−2i2i−2i2i−2i2i200000-200000−2i2i2-2−2i2i00000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i2-2−2i2i00000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2220-2-2-200000−2i2i−2i2i−2i2i200000-200000−2i2i2-2−2i2i0000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i2-2−2i2i0000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2220-2-2-200000−2i2i−2i2i−2i2i200000-200000−2i2i-222i−2i00000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i-222i−2i00000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i00
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2220-2-2-200000−2i2i−2i2i−2i2i200000-200000−2i2i-222i−2i0000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i-222i−2i0000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i00
χ61444444-2-244-2-244-2-2-2-2-21-2-2-21-24-24-2-2-2-2-2-2111-21-2111-21-2111100000000440000-2-2-2-2000000000000000000000000-2-200001111000000000000
χ62444444-2-244-2-244-2-2-2-2-21-2-2-21-24-24-2-2-2-2-2-2111-21-2111-21-2111100000000-4-400002222000000000000000000000000220000-1-1-1-1000000000000
χ6344444-24-24-24-2-2-244-2-21-2-2-21-2-2-24-24-2-2-211-2-211-2-21111-2-211110000004400-2-2-2-200000000000000000000000000-2-20011110000000000000000
χ6444444-24-24-24-2-2-244-2-21-2-2-21-2-2-24-24-2-2-211-2-211-2-21111-2-21111000000-4-4002222000000000000000000000000002200-1-1-1-10000000000000000
χ6544444-2-244-2-24-2-2-2-244-2-214-2-21-2-2-2-2411-2-2-2-21-2-21111-2-21111100004400000000000000000000000000-2-211-2-211000000000000000000000000
χ6644444-2-244-2-24-2-2-2-244-2-214-2-21-2-2-2-2411-2-2-2-21-2-21111-2-2111110000-4-40000000000000000000000000022-1-122-1-1000000000000000000000000
χ674444-44-24-44-2444-2-2444-2-2-44-2-2-42-42-4-2-244-2-2-2-42222-2-42222-2-20000000000000000000000000000000000000000000000000000000000000000
χ684444-44-2-2-44-2-244-2-2-2-2-21-22-21-2-42-422-2-2-2-21112-12-1-112-12-1-11100000000000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i3000000000000
χ694444-44-2-2-44-2-244-2-2-2-2-21-22-21-2-42-422-2-2-2-21112-12-1-112-12-1-111000000000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i3000000000000
χ704444-4-244-4-244-2-24444-24-2-4-24-22-42-4-4-2-2-2-244-22-4222-22-4222-2-20000000000000000000000000000000000000000000000000000000000000000
χ714444-4-24-2-4-24-2-2-244-2-21-2-221-2-22-42-42-2-211-2-21-122-1-11-122-1-1110000000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i30000000000000000
χ724444-4-24-2-4-24-2-2-244-2-21-2-221-2-22-42-42-2-211-2-21-122-1-11-122-1-11100000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i30000000000000000
χ734444-4-2-24-4-2-24-2-2-2-244-2-21-4-2-212222-411-2-2-2-2122-1-1-1122-1-1-11100000000000000000000000000000000003-3003-3000000000000000000000000
χ744444-4-2-24-4-2-24-2-2-2-244-2-21-4-2-212222-411-2-2-2-2122-1-1-1122-1-1-1110000000000000000000000000000000000-3300-33000000000000000000000000
χ7544-4-444-24-44-24-4-422-4-44-2-244-2-24-2-42-422-4-422-24-2-2-2-2-2-42222220000000000000000000000000000000000000000000000000000000000000000
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χ7744-4-444-2-2-44-2-2-4-42222-21-2-2-21-24-2-4222222-1-11-21-21112-12-1-1-1-100000000000000−232323−230000000000000000000000000000003−3−33000000000000
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χ894-44i−4i044-20-4-424i−4i4i−4i−2i2i-2-24022-4000004i−4i−2i2i−2i2i-200000200000−2i2i4-44i−4i000000000000000000000000-22−2i2i00000000000000000000000000000000
χ904-44i−4i044-20-4-424i−4i4i−4i−2i2i-2-24022-4000004i−4i−2i2i−2i2i-200000200000−2i2i-44−4i4i0000000000000000000000002-22i−2i00000000000000000000000000000000
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χ934-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-24-202-4200000−2i2i−2i2i4i−4i-200000200000−2i2i000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000−1−i1+i−1+i1−i000000
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χ964-4−4i4i044-20-4-42−4i4i−4i4i2i−2i-2-24022-400000−4i4i2i−2i2i−2i-2000002000002i−2i-444i−4i0000000000000000000000002-2−2i2i00000000000000000000000000000000
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χ984-4−4i4i04-240-42-4−4i4i2i−2i−4i4i4-2-20-422000002i−2i−4i4i2i−2i-2000002000002i−2i000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000000001−i−1+i1+i−1−i00
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χ1004-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-24-202-42000002i−2i2i−2i−4i4i-2000002000002i−2i00000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000000001−i−1+i1+i−1−i000000
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χ1028888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222422244444222222-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-4-8-4-4-4444444222-4222-4-4444-2-2-2-2-2-2-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-8-4-4-48-4-4-4444444222422244-4-4-4-2-2-2-2-2-2-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000000000
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χ1078-88i−8i0-4-48044-8−4i4i−4i4i8i−8i-4-42044-2000002i−2i−4i4i−4i4i200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
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χ1098-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220-2-2-2000002i−2i2i−2i2i−2i-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-42-404-24000004i−4i4i−4i−2i2i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i0-48-404-844i−4i−8i8i4i−4i2-4-40-244000004i−4i−2i2i4i−4i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-4-48044-84i−4i4i−4i−8i8i-4-42044-200000−2i2i4i−4i4i−4i200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-2-2-200000−2i2i−2i2i−2i2i-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-2-2-200000−2i2i−2i2i−2i2i-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000000000

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