Finite Group Databasebeta

← Group #10896474

Character table — Group #10896474

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212124444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-2-222222222-2-2222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-122-2-2-2-2222222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-122-2-2-2-2222222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2922222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3022222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3122222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3222222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3322222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-2-2-22-222222-2-20000-2-2222-2-2-2-22222-2-2-2-200002-20022-2-222-2-2000000000000000000000000000000000000000000002-22-200000000
χ38222-2-2-22-222222-2-20000-2-2222-2-2-2-22222-2-2-2-200002-20022-2-222-2-200000000000000000000000000000000000000000000-22-2200000000
χ39222-2-2-22-2222-2-2220000-2-2222-2-2-2-2-2-2-2-222220000-220022-2-2-2-222000000000000000000000000000000000000000000002-2-2200000000
χ40222-2-2-22-2222-2-2220000-2-2222-2-2-2-2-2-2-2-222220000-220022-2-2-2-22200000000000000000000000000000000000000000000-222-200000000
χ41222-2-2-22-22-2-222-2-2000022222-2-2-2-22222-2-2-2-20000-2200-2-222-2-22200000000000000000000000000000000000000002i−2i2i−2i000000000000
χ42222-2-2-22-22-2-222-2-2000022222-2-2-2-22222-2-2-2-20000-2200-2-222-2-2220000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ43222-2-2-22-22-2-2-2-222000022222-2-2-2-2-2-2-2-2222200002-200-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i000000000000
χ44222-2-2-22-22-2-2-2-222000022222-2-2-2-2-2-2-2-2222200002-200-2-22222-2-20000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ4522-2-222-2-22002-22-222-2-2002-2-2-2-22222-2-222-2-2002-20000000000000000000022-2-222-2-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ4622-2-222-2-22002-22-222-2-2002-2-2-2-22222-2-222-2-2002-20000000000000000000022-2-222-2-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ4722-2-222-2-22002-22-2-2-222002-2-2-2-22222-2-222-2-200-2200000000000000000000-2-222-2-22200000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ4822-2-222-2-22002-22-2-2-222002-2-2-2-22222-2-222-2-200-2200000000000000000000-2-222-2-22200000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ4922-2-222-2-2200-22-2222-2-2002-2-2-2-222-2-222-2-22200-220000000000000000000022-2-2-2-22200000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ5022-2-222-2-2200-22-2222-2-2002-2-2-2-222-2-222-2-22200-220000000000000000000022-2-2-2-22200000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ5122-2-222-2-2200-22-22-2-222002-2-2-2-222-2-222-2-222002-200000000000000000000-2-22222-2-200000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ5222-2-222-2-2200-22-22-2-222002-2-2-2-222-2-222-2-222002-200000000000000000000-2-22222-2-200000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ532-22-22-2-2222-200002i−2i2i−2i2-2-22-22-22-2000000002i−2i0000002-22-200002i2i−2i−2i00002i−2i2i−2i0000002i−2i002-200002i−2i2i−2i00002-22-20000000000000000
χ542-22-22-2-2222-200002i−2i2i−2i2-2-22-22-22-2000000002i−2i0000002-22-200002i2i−2i−2i00002i−2i2i−2i000000−2i2i00-220000−2i2i−2i2i0000-22-220000000000000000
χ552-22-22-2-2222-20000−2i2i−2i2i2-2-22-22-22-200000000−2i2i0000002-22-20000−2i−2i2i2i0000−2i2i−2i2i0000002i−2i00-2200002i−2i2i−2i0000-22-220000000000000000
χ562-22-22-2-2222-20000−2i2i−2i2i2-2-22-22-22-200000000−2i2i0000002-22-20000−2i−2i2i2i0000−2i2i−2i2i000000−2i2i002-20000−2i2i−2i2i00002-22-20000000000000000
χ572-22-22-2-222-2200002i−2i2i−2i-22-22-22-22-200000000−2i2i000000-22-220000−2i−2i2i2i00002i−2i2i−2i00002-2002i−2i002-22-200002i−2i2i−2i00000000000000000000
χ582-22-22-2-222-2200002i−2i2i−2i-22-22-22-22-200000000−2i2i000000-22-220000−2i−2i2i2i00002i−2i2i−2i0000-2200−2i2i00-22-220000−2i2i−2i2i00000000000000000000
χ592-22-22-2-222-220000−2i2i−2i2i-22-22-22-22-2000000002i−2i000000-22-2200002i2i−2i−2i0000−2i2i−2i2i00002-200−2i2i002-22-20000−2i2i−2i2i00000000000000000000
χ602-22-22-2-222-220000−2i2i−2i2i-22-22-22-22-2000000002i−2i000000-22-2200002i2i−2i−2i0000−2i2i−2i2i0000-22002i−2i00-22-2200002i−2i2i−2i00000000000000000000
χ612-22-22-2-22-12-200002i−2i2i−2i2-21-11-11-113−33−33−33−32i−2i000000-11-113−33−3−i−iii−i3−i3i3i3−ii−ii−i3i3−i3i3002i−2i002-2−i3i3i3−i3−ii−ii3−3−33-11-110000000000000000
χ622-22-22-2-22-12-200002i−2i2i−2i2-21-11-11-113−33−33−33−32i−2i000000-11-113−33−3−i−iii−i3−i3i3i3−ii−ii−i3i3−i3i300−2i2i00-22i3−i3−i3i3i−ii−i−333−31-11-10000000000000000
χ632-22-22-2-22-12-200002i−2i2i−2i2-21-11-11-11−33−33−33−332i−2i000000-11-11−33−33−i−iiii3i3−i3−i3−ii−iii3−i3i3−i3002i−2i002-2i3−i3−i3i3−ii−ii−333−3-11-110000000000000000
χ642-22-22-2-22-12-200002i−2i2i−2i2-21-11-11-11−33−33−33−332i−2i000000-11-11−33−33−i−iiii3i3−i3−i3−ii−iii3−i3i3−i300−2i2i00-22−i3i3i3−i3i−ii−i3−3−331-11-10000000000000000
χ652-22-22-2-22-12-20000−2i2i−2i2i2-21-11-11-113−33−33−33−3−2i2i000000-11-113−33−3ii−i−ii3i3−i3−i3i−ii−ii3−i3i3−i3002i−2i00-22−i3i3i3−i3−ii−ii−333−31-11-10000000000000000
χ662-22-22-2-22-12-20000−2i2i−2i2i2-21-11-11-113−33−33−33−3−2i2i000000-11-113−33−3ii−i−ii3i3−i3−i3i−ii−ii3−i3i3−i300−2i2i002-2i3−i3−i3i3i−ii−i3−3−33-11-110000000000000000
χ672-22-22-2-22-12-20000−2i2i−2i2i2-21-11-11-11−33−33−33−33−2i2i000000-11-11−33−33ii−i−i−i3−i3i3i3i−ii−i−i3i3−i3i3002i−2i00-22i3−i3−i3i3−ii−ii3−3−331-11-10000000000000000
χ682-22-22-2-22-12-20000−2i2i−2i2i2-21-11-11-11−33−33−33−33−2i2i000000-11-11−33−33ii−i−i−i3−i3i3i3i−ii−i−i3i3−i3i300−2i2i002-2−i3i3i3−i3i−ii−i−333−3-11-110000000000000000
χ692-22-22-2-22-1-2200002i−2i2i−2i-221-11-11-113−33−33−33−3−2i2i0000001-11-1−33−33ii−i−ii3i3−i3−i3−ii−ii−i3i3−i3i32-2002i−2i00-11-113−3−33−ii−ii−i3i3i3−i30000000000000000
χ702-22-22-2-22-1-2200002i−2i2i−2i-221-11-11-113−33−33−33−3−2i2i0000001-11-1−33−33ii−i−ii3i3−i3−i3−ii−ii−i3i3−i3i3-2200−2i2i001-11-1−333−3i−ii−ii3−i3−i3i30000000000000000
χ712-22-22-2-22-1-2200002i−2i2i−2i-221-11-11-11−33−33−33−33−2i2i0000001-11-13−33−3ii−i−i−i3−i3i3i3−ii−iii3−i3i3−i32-2002i−2i00-11-11−333−3−ii−iii3−i3−i3i30000000000000000
χ722-22-22-2-22-1-2200002i−2i2i−2i-221-11-11-11−33−33−33−33−2i2i0000001-11-13−33−3ii−i−i−i3−i3i3i3−ii−iii3−i3i3−i3-2200−2i2i001-11-13−3−33i−ii−i−i3i3i3−i30000000000000000
χ732-22-22-2-22-1-220000−2i2i−2i2i-221-11-11-113−33−33−33−32i−2i0000001-11-1−33−33−i−iii−i3−i3i3i3i−ii−ii3−i3i3−i32-200−2i2i00-11-113−3−33i−ii−ii3−i3−i3i30000000000000000
χ742-22-22-2-22-1-220000−2i2i−2i2i-221-11-11-113−33−33−33−32i−2i0000001-11-1−33−33−i−iii−i3−i3i3i3i−ii−ii3−i3i3−i3-22002i−2i001-11-1−333−3−ii−ii−i3i3i3−i30000000000000000
χ752-22-22-2-22-1-220000−2i2i−2i2i-221-11-11-11−33−33−33−332i−2i0000001-11-13−33−3−i−iiii3i3−i3−i3i−ii−i−i3i3−i3i32-200−2i2i00-11-11−333−3i−ii−i−i3i3i3−i30000000000000000
χ762-22-22-2-22-1-220000−2i2i−2i2i-221-11-11-11−33−33−33−332i−2i0000001-11-13−33−3−i−iiii3i3−i3−i3i−ii−i−i3i3−i3i3-22002i−2i001-11-13−3−33−ii−iii3−i3−i3i30000000000000000
χ77444-4-4-44-4-24444-4-40000-4-4-2-2-22222-2-2-2-2222200004-400-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ78444-4-4-44-4-244-4-4440000-4-4-2-2-222222222-2-2-2-20000-4400-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ79444-4-4-44-4-2-4-444-4-4000044-2-2-22222-2-2-2-222220000-440022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-4-2-4-4-4-444000044-2-2-222222222-2-2-2-200004-40022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ8144-44-4-4-444004-4-440000004-4-444-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-44-4-4-44400-444-40000004-4-444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8344-44-4-4-44-2004-4-44000000-222-2-222-2-22222-2-20000000000000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ8444-44-4-4-44-2004-4-44000000-222-2-222-2-22222-2-200000000000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ8544-44-4-4-44-200-444-4000000-222-2-22222-2-2-2-2220000000000000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ8644-44-4-4-44-200-444-4000000-222-2-22222-2-2-2-22200000000000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ8744-4-444-4-4-2004-44-444-4-400-22222-2-2-2-222-2-222004-400000000000000000000-2-222-2-2220000000000000000000000000000000000000000
χ8844-4-444-4-4-2004-44-4-4-44400-22222-2-2-2-222-2-22200-440000000000000000000022-2-222-2-20000000000000000000000000000000000000000
χ8944-4-444-4-4-200-44-4444-4-400-22222-2-222-2-222-2-200-4400000000000000000000-2-22222-2-20000000000000000000000000000000000000000
χ9044-4-444-4-4-200-44-44-4-44400-22222-2-222-2-222-2-2004-40000000000000000000022-2-2-2-2220000000000000000000000000000000000000000
χ914-444-44-4-444-400000000-44-44-4-44-4400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ924-444-44-4-44-44000000004-4-44-4-44-440000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-24-400000000-442-222-22-223−2323−23−2323−232300000000-222-223−23−232300000000000000000000000000000000000000000000000000000000
χ944-444-44-4-4-24-400000000-442-222-22-2−2323−232323−2323−2300000000-222-2−232323−2300000000000000000000000000000000000000000000000000000000
χ954-444-44-4-4-2-44000000004-42-222-22-223−2323−23−2323−2323000000002-2-22−232323−2300000000000000000000000000000000000000000000000000000000
χ964-444-44-4-4-2-44000000004-42-222-22-2−2323−232323−2323−23000000002-2-2223−23−232300000000000000000000000000000000000000000000000000000000
χ974-4-444-44-440000004i−4i−4i4i00-4-44-444-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ984-4-444-44-44000000−4i4i4i−4i00-4-44-444-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ994-4-444-44-4-20000004i−4i−4i4i0022-22-2-2223−23−232323−23−2323000000000000000000000000−2i2i2i−2i−2i32i32i3−2i30000000000000000000000000000000000000000
χ1004-4-444-44-4-20000004i−4i−4i4i0022-22-2-22−232323−23−232323−23000000000000000000000000−2i2i2i−2i2i3−2i3−2i32i30000000000000000000000000000000000000000
χ1014-4-444-44-4-2000000−4i4i4i−4i0022-22-2-2223−23−232323−23−23230000000000000000000000002i−2i−2i2i2i3−2i3−2i32i30000000000000000000000000000000000000000
χ1024-4-444-44-4-2000000−4i4i4i−4i0022-22-2-22−232323−23−232323−230000000000000000000000002i−2i−2i2i−2i32i32i3−2i30000000000000000000000000000000000000000
χ1034-4-4-4-44444000000000000-4-444-4-44000000000000004-40000000000004-4-44000000000000000000000000000000000000000000000000
χ1044-4-4-4-44444000000000000-4-444-4-4400000000000000-44000000000000-444-4000000000000000000000000000000000000000000000000
χ1054-4-4-4-4444-200000000000022-2-222-223−23−2323−232323−230000004-40000000023−23−2323-222-2000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-200000000000022-2-222-223−23−2323−232323−23000000-4400000000−232323−232-2-22000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-200000000000022-2-222-2−232323−2323−23−23230000004-400000000−232323−23-222-2000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-200000000000022-2-222-2−232323−2323−23−2323000000-440000000023−23−23232-2-22000000000000000000000000000000000000000000000000

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