Finite Group Databasebeta

← Group #10876189

Character table — Group #10876189

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212444444446666121212121212121212121212121212121212121288888888242424242424242424242424242424244444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ1111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1211111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1511111111-1-1-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ1611111111-1-1-1-11-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ1722222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ2722222222-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ37222-2-2-22-222-2-22000022-2-2-2-2-2-22222222-2-2-2-20000002-222-2-222-2-2000000000000000000000000000000000000000000002i−2i00002i−2i0000
χ38222-2-2-22-222-2-22000022-2-2-2-2-2-22222222-2-2-2-20000002-222-2-222-2-200000000000000000000000000000000000000000000−2i2i0000−2i2i0000
χ39222-2-2-22-222-2-220000-2-222-2-2-2-2222-2-2-2-22222000000-2222-2-2-2-22200000000000000000000000000000000000000002i−2i2i−2i000000000000
χ40222-2-2-22-222-2-220000-2-222-2-2-2-2222-2-2-2-22222000000-2222-2-2-2-2220000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ41222-2-2-22-2-2-2222000022-2-2-2-2-2-22222222-2-2-2-2000000-22-2-222-2-222000000000000000000000000000000000000000000002i−2i0000−2i2i0000
χ42222-2-2-22-2-2-2222000022-2-2-2-2-2-22222222-2-2-2-2000000-22-2-222-2-22200000000000000000000000000000000000000000000−2i2i00002i−2i0000
χ43222-2-2-22-2-2-22220000-2-222-2-2-2-2222-2-2-2-222220000002-2-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i000000000000
χ44222-2-2-22-2-2-22220000-2-222-2-2-2-2222-2-2-2-222220000002-2-2-22222-2-20000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ4522-22-2-2-222-22-222i2i−2i−2i000022-2-22-2-200000000002i−2i00002-22-200002i2i−2i−2i00002i2i−2i−2i00002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4622-22-2-2-222-22-222i2i−2i−2i000022-2-22-2-200000000002i−2i00002-22-200002i2i−2i−2i00002i2i−2i−2i0000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ4722-22-2-2-222-22-22−2i−2i2i2i000022-2-22-2-20000000000−2i2i00002-22-20000−2i−2i2i2i0000−2i−2i2i2i00002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4822-22-2-2-222-22-22−2i−2i2i2i000022-2-22-2-20000000000−2i2i00002-22-20000−2i−2i2i2i0000−2i−2i2i2i0000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ4922-22-2-2-222-22-2-12i2i−2i−2i0000-1-111-11133−3−333−3−3002i−2i0000-11-113−33−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i32−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5022-22-2-2-222-22-2-12i2i−2i−2i0000-1-111-11133−3−333−3−3002i−2i0000-11-113−33−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5122-22-2-2-222-22-2-12i2i−2i−2i0000-1-111-111−3−333−3−333002i−2i0000-11-11−33−33−i−iiii3i3−i3−i3−i−iiii3i3−i3−i32−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ5222-22-2-2-222-22-2-12i2i−2i−2i0000-1-111-111−3−333−3−333002i−2i0000-11-11−33−33−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ5322-22-2-2-222-22-2-1−2i−2i2i2i0000-1-111-11133−3−333−3−300−2i2i0000-11-113−33−3ii−i−ii3i3−i3−i3ii−i−ii3i3−i3−i32−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ5422-22-2-2-222-22-2-1−2i−2i2i2i0000-1-111-11133−3−333−3−300−2i2i0000-11-113−33−3ii−i−ii3i3−i3−i3ii−i−ii3i3−i3−i3−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ5522-22-2-2-222-22-2-1−2i−2i2i2i0000-1-111-111−3−333−3−33300−2i2i0000-11-11−33−33ii−i−i−i3−i3i3i3ii−i−i−i3−i3i3i32−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ5622-22-2-2-222-22-2-1−2i−2i2i2i0000-1-111-111−3−333−3−33300−2i2i0000-11-11−33−33ii−i−i−i3−i3i3i3ii−i−i−i3−i3i3i3−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ5722-22-2-2-22-22-2222i2i−2i−2i000022-2-22-2-20000000000−2i2i0000-22-2200002i2i−2i−2i0000−2i−2i2i2i00002−2−22−i2i2i2−i22−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ5822-22-2-2-22-22-2222i2i−2i−2i000022-2-22-2-20000000000−2i2i0000-22-2200002i2i−2i−2i0000−2i−2i2i2i0000−222−2i2−i2−i2i2−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ5922-22-2-2-22-22-222−2i−2i2i2i000022-2-22-2-200000000002i−2i0000-22-220000−2i−2i2i2i00002i2i−2i−2i00002−2−22i2−i2−i2i22−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ6022-22-2-2-22-22-222−2i−2i2i2i000022-2-22-2-200000000002i−2i0000-22-220000−2i−2i2i2i00002i2i−2i−2i0000−222−2−i2i2i2−i2−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6122-22-2-2-22-22-22-12i2i−2i−2i0000-1-111-11133−3−333−3−300−2i2i00001-11-1−33−33−i−iii−i3−i3i3i3ii−i−ii3i3−i3−i32−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ6222-22-2-2-22-22-22-12i2i−2i−2i0000-1-111-11133−3−333−3−300−2i2i00001-11-1−33−33−i−iii−i3−i3i3i3ii−i−ii3i3−i3−i3−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6322-22-2-2-22-22-22-12i2i−2i−2i0000-1-111-111−3−333−3−33300−2i2i00001-11-13−33−3−i−iiii3i3−i3−i3ii−i−i−i3−i3i3i32−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ6422-22-2-2-22-22-22-12i2i−2i−2i0000-1-111-111−3−333−3−33300−2i2i00001-11-13−33−3−i−iiii3i3−i3−i3ii−i−i−i3−i3i3i3−222−2i2−i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6522-22-2-2-22-22-22-1−2i−2i2i2i0000-1-111-11133−3−333−3−3002i−2i00001-11-1−33−33ii−i−ii3i3−i3−i3−i−iii−i3−i3i3i32−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ6622-22-2-2-22-22-22-1−2i−2i2i2i0000-1-111-11133−3−333−3−3002i−2i00001-11-1−33−33ii−i−ii3i3−i3−i3−i−iii−i3−i3i3i3−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ6722-22-2-2-22-22-22-1−2i−2i2i2i0000-1-111-111−3−333−3−333002i−2i00001-11-13−33−3ii−i−i−i3−i3i3i3−i−iiii3i3−i3−i32−2−22i2−i2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ6822-22-2-2-22-22-22-1−2i−2i2i2i0000-1-111-111−3−333−3−333002i−2i00001-11-13−33−3ii−i−i−i3−i3i3i3−i−iiii3i3−i3−i3−222−2−i2i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ692-2-222-22-2000022i−2i2i−2i2-22-22-22-2-22-22-22-22-22-22i−2i000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002-200002i−2i
χ702-2-222-22-2000022i−2i2i−2i2-22-22-22-2-22-22-22-22-22-22i−2i000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000-220000−2i2i
χ712-2-222-22-2000022i−2i2i−2i-22-222-22-2-22-2-22-22-22-22−2i2i000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000002-200002i−2i00
χ722-2-222-22-2000022i−2i2i−2i-22-222-22-2-22-2-22-22-22-22−2i2i000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000-220000−2i2i00
χ732-2-222-22-200002−2i2i−2i2i2-22-22-22-2-22-22-22-22-22-2−2i2i00000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000002-20000−2i2i
χ742-2-222-22-200002−2i2i−2i2i2-22-22-22-2-22-22-22-22-22-2−2i2i00000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000-2200002i−2i
χ752-2-222-22-200002−2i2i−2i2i-22-222-22-2-22-2-22-22-22-222i−2i00000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000002-20000−2i2i00
χ762-2-222-22-200002−2i2i−2i2i-22-222-22-2-22-2-22-22-22-222i−2i00000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000-2200002i−2i00
χ77444-4-4-44-444-4-4-2000044-4-42222-2-2-2-2-2-2-222220000004-4-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ78444-4-4-44-444-4-4-20000-4-4442222-2-2-22222-2-2-2-2000000-44-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ79444-4-4-44-4-4-444-2000044-4-42222-2-2-2-2-2-2-22222000000-4422-2-222-2-200000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-4-4-444-20000-4-4442222-2-2-22222-2-2-2-20000004-422-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ8144-4-444-4-44-4-44400000000-4-4444-4-400000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-44-4-44-20000000022-2-2-2222323−23−23−23−23232300000000-222-223−23−232300000000000000000000000000000000000000000000000000000000
χ8344-4-444-4-44-4-44-20000000022-2-2-222−23−2323232323−23−2300000000-222-2−232323−2300000000000000000000000000000000000000000000000000000000
χ8444-4-444-4-4-444-4400000000-4-4444-4-40000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ8544-4-444-4-4-444-4-20000000022-2-2-2222323−23−23−23−232323000000002-2-22−232323−2300000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-4-444-4-20000000022-2-2-222−23−2323232323−23−23000000002-2-2223−23−232300000000000000000000000000000000000000000000000000000000
χ874-444-44-4-4000044-4-4400004-4-44-4-440000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ884-444-44-4-400004-444-400004-4-44-4-44000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ894-444-44-4-40000-24-4-440000-222-222-223−23−232323−23−23230000000000000000-222-2−232323−23000000000000000000000000000000000000000000000000
χ904-444-44-4-40000-24-4-440000-222-222-2−232323−23−232323−230000000000000000-222-223−23−2323000000000000000000000000000000000000000000000000
χ914-444-44-4-40000-2-444-40000-222-222-223−23−232323−23−232300000000000000002-2-2223−23−2323000000000000000000000000000000000000000000000000
χ924-444-44-4-40000-2-444-40000-222-222-2−232323−23−232323−2300000000000000002-2-22−232323−23000000000000000000000000000000000000000000000000
χ934-44-44-4-440000400000000-444-4-4-440000000000004i−4i00000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ944-44-44-4-440000400000000-444-4-4-44000000000000−4i4i0000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ954-44-44-4-440000-2000000002-2-2222-223−23−2323−232323−2300004i−4i000000000000000000−2i32i3−2i32i3−2i2i−2i2i0000000000000000000000000000000000000000
χ964-44-44-4-440000-2000000002-2-2222-223−23−2323−232323−230000−4i4i0000000000000000002i3−2i32i3−2i32i−2i2i−2i0000000000000000000000000000000000000000
χ974-44-44-4-440000-2000000002-2-2222-2−232323−2323−23−232300004i−4i0000000000000000002i3−2i32i3−2i3−2i2i−2i2i0000000000000000000000000000000000000000
χ984-44-44-4-440000-2000000002-2-2222-2−232323−2323−23−23230000−4i4i000000000000000000−2i32i3−2i32i32i−2i2i−2i0000000000000000000000000000000000000000
χ994-4-444-44-40000-24i−4i4i−4i4-44-4-22-222-22-22-22-22-224i−4i00000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1004-4-444-44-40000-24i−4i4i−4i-44-44-22-222-222-22-22-22-2−4i4i00000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1014-4-444-44-40000-2−4i4i−4i4i4-44-4-22-222-22-22-22-22-22−4i4i000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ1024-4-444-44-40000-2−4i4i−4i4i-44-44-22-222-222-22-22-22-24i−4i000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1034-4-4-4-44440000400004-4-44-44-44-44-44-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444000040000-444-4-44-44-44-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4-44440000-200004-4-442-22-22-22-22-222-22-200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1064-4-4-4-44440000-200004-4-442-22-22-22-22-222-22-2000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
χ1074-4-4-4-44440000-20000-444-42-22-22-222-22-2-22-2200000000000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ1084-4-4-4-44440000-20000-444-42-22-22-222-22-2-22-22000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.