Finite Group Databasebeta

← Group #10694491

Character table — Group #10694491

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424248888888824242424242424242424242424242424444488882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ101-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ111-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ121-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ131-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ151-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ161-1-111-1-11111-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ17222222222222-2-2-22-2222222222222222-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-200000000
χ18222222222222-2-2-22-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-2200000000
χ19222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2220000000022-2-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ22222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2220000000022-2-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-222-2-222-2-211-1-111-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−3000000000000
χ2822222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-222-2-222-2-211-1-111-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−333000000000000
χ2922222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-2-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ3022222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-2-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ31222-2-2-2-22200022-20-222-2-22-2-20000000000002-2002-2002-2002-2000022-2-2000022-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ32222-2-2-2-22200022-20-222-2-22-2-20000000000002-2002-2002-2002-2000022-2-2000022-2-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ33222-2-2-2-22200022-20-222-2-22-2-2000000000000-2200-22002-2002-20000-2-2220000-2-222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ34222-2-2-2-22200022-20-222-2-22-2-2000000000000-2200-22002-2002-20000-2-2220000-2-222i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ35222-2-2-2-22-100022-20-2-1-111-11133−3−33−33−300002-2002-23−3-113−3-1133−3−3-1-11133−3−3-1-111−i2i2−i2i2−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−ζ7000000000000
χ36222-2-2-2-22-100022-20-2-1-111-11133−3−33−33−300002-2002-23−3-113−3-1133−3−3-1-11133−3−3-1-111i2−i2i2−i2i2−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+ζ7000000000000
χ37222-2-2-2-22-100022-20-2-1-111-11133−3−33−33−30000-2200-223−3-113−3-11−3−33311-1-1−3−33311-1-1−i2i2−i2i2i2−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+ζ7000000000000
χ38222-2-2-2-22-100022-20-2-1-111-11133−3−33−33−30000-2200-223−3-113−3-11−3−33311-1-1−3−33311-1-1i2−i2i2−i2−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−ζ7000000000000
χ39222-2-2-2-22-100022-20-2-1-111-111−3−333−33−3300002-2002-2−33-11−33-11−3−333-1-111−3−333-1-111−i2i2−i2i2−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−ζ23000000000000
χ40222-2-2-2-22-100022-20-2-1-111-111−3−333−33−3300002-2002-2−33-11−33-11−3−333-1-111−3−333-1-111i2−i2i2−i2i2−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+ζ23000000000000
χ41222-2-2-2-22-100022-20-2-1-111-111−3−333−33−330000-2200-22−33-11−33-1133−3−311-1-133−3−311-1-1−i2i2−i2i2i2−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+ζ23000000000000
χ42222-2-2-2-22-100022-20-2-1-111-111−3−333−33−330000-2200-22−33-11−33-1133−3−311-1-133−3−311-1-1i2−i2i2−i2−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−ζ23000000000000
χ432-2-222-2-22222-22-2-2-22-2-2-2-22222222-2-2-2-2-2200000000-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i00000000
χ442-2-222-2-22222-22-2-2-22-2-2-2-22222222-2-2-2-2-2200000000-2-22222-2-20000000000000000000000000000000000000000−2i2i2i−2i00000000
χ452-2-222-2-222-2-222-2-222-2-2-2-2222-2-2-2-222222-2000000002222-2-2-2-2000000000000000000000000000000000000000000002-2-220000
χ462-2-222-2-222-2-222-2-222-2-2-2-2222-2-2-2-222222-2000000002222-2-2-2-200000000000000000000000000000000000000000000-222-20000
χ472-2-222-2-222-2-22-2222-2-2-2-2-2222-2-2-2-22222-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ482-2-222-2-222-2-22-2222-2-2-2-2-2222-2-2-2-22222-22-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ492-2-222-2-22-122-2-222-2-21111-1-1-1-1-1-1-111112-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ502-2-222-2-22-122-2-222-2-21111-1-1-1-1-1-1-111112-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ512-2-222-2-22-122-2-222-2-21111-1-1-1-1-1-1-111112-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ522-2-222-2-22-122-2-222-2-21111-1-1-1-1-1-1-111112-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ532-2-222-2-22-1-2-22-2222-21111-1-1-11111-1-1-1-1-2222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ542-2-222-2-22-1-2-22-2222-21111-1-1-11111-1-1-1-1-2222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ552-2-222-2-22-1-2-22-2222-21111-1-1-11111-1-1-1-1-22-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ562-2-222-2-22-1-2-22-2222-21111-1-1-11111-1-1-1-1-22-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ572-2-2-2-22222000-22-202-2-2222-2-20000000000002-200-2200-22002-2000022-2-20000-2-2222−2−222−2−222−22−2−22−222−22−2−22−22000000000000
χ582-2-2-2-22222000-22-202-2-2222-2-20000000000002-200-2200-22002-2000022-2-20000-2-222−222−2−222−2−22−222−22−2−22−222−22−2000000000000
χ592-2-2-2-22222000-22-202-2-2222-2-2000000000000-22002-200-22002-20000-2-222000022-2-22−2−22−222−22−22−2−22−22−22−222−22−2000000000000
χ602-2-2-2-22222000-22-202-2-2222-2-2000000000000-22002-200-22002-20000-2-222000022-2-2−222−22−2−22−22−222−22−22−22−2−22−22000000000000
χ612-2-2-2-2222-1000-22-20211-1-1-11133−3−3−33−3300002-200-223−31-1−33-1133−3−3-1-111−3−33311-1-12−2−222−2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ622-2-2-2-2222-1000-22-20211-1-1-11133−3−3−33−3300002-200-223−31-1−33-1133−3−3-1-111−3−33311-1-1−222−2−222−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ632-2-2-2-2222-1000-22-20211-1-1-11133−3−3−33−330000-22002-23−31-1−33-11−3−33311-1-133−3−3-1-1112−2−22−222−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ642-2-2-2-2222-1000-22-20211-1-1-11133−3−3−33−330000-22002-23−31-1−33-11−3−33311-1-133−3−3-1-111−222−22−2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ652-2-2-2-2222-1000-22-20211-1-1-111−3−3333−33−300002-200-22−331-13−3-11−3−333-1-11133−3−311-1-12−2−222−2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ662-2-2-2-2222-1000-22-20211-1-1-111−3−3333−33−300002-200-22−331-13−3-11−3−333-1-11133−3−311-1-1−222−2−222−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ672-2-2-2-2222-1000-22-20211-1-1-111−3−3333−33−30000-22002-2−331-13−3-1133−3−311-1-1−3−333-1-1112−2−22−222−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ682-2-2-2-2222-1000-22-20211-1-1-111−3−3333−33−30000-22002-2−331-13−3-1133−3−311-1-1−3−333-1-111−222−22−2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ6944444444-2444-4-4-44-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222224400000000-2-222-2-2220000000000000000000000000000000000000000000000000000
χ71444-4-4-4-444000-4-440444-4-44-4-400000000000000000000-4400-440000000000000000000000000000000000000000000000000000
χ72444-4-4-4-44-2000-4-4404-2-222-2222323−23−2323−2323−230000000000−23232-2−23232-20000000000000000000000000000000000000000000000000000
χ73444-4-4-4-44-2000-4-4404-2-222-222−23−232323−2323−2323000000000023−232-223−232-20000000000000000000000000000000000000000000000000000
χ7444-44-44-4-44000000004-44-4-44-40000000000−2i22i200−2i22i20000000000−2i22i2−2i22i20000−2i22i2−2i22i20000000000000000000000000000000000000000
χ7544-44-44-4-44000000004-44-4-44-400000000002i2−2i2002i2−2i200000000002i2−2i22i2−2i200002i2−2i22i2−2i20000000000000000000000000000000000000000
χ7644-44-44-4-4-200000000-22-222-2223−2323−2323−23−232300−2i22i200−2i22i20000000000i2−i2i2−i2i6−i6i6−i6i2−i2i2−i2i6−i6i6−i6000000000000000000000000000000000000
χ7744-44-44-4-4-200000000-22-222-2223−2323−2323−23−2323002i2−2i2002i2−2i20000000000−i2i2−i2i2−i6i6−i6i6−i2i2−i2i2−i6i6−i6i6000000000000000000000000000000000000
χ7844-44-44-4-4-200000000-22-222-22−2323−2323−232323−2300−2i22i200−2i22i20000000000i2−i2i2−i2−i6i6−i6i6i2−i2i2−i2−i6i6−i6i6000000000000000000000000000000000000
χ7944-44-44-4-4-200000000-22-222-22−2323−2323−232323−23002i2−2i2002i2−2i20000000000−i2i2−i2i2i6−i6i6−i6−i2i2−i2i2i6−i6i6−i6000000000000000000000000000000000000
χ8044-4-44-44-444-44000-404-4-44-4-444-4-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ8144-4-44-44-44-44-4000404-4-44-4-44-444-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-4-24-44000-40-222-222-2-222-2-2-222000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ8344-4-44-44-4-24-44000-40-222-222-2-222-2-2-222000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ8444-4-44-44-4-2-44-400040-222-222-22-2-2222-2-2000000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ8544-4-44-44-4-2-44-400040-222-222-22-2-2222-2-2000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ864-444-4-44-4400000000-44-44-44-40000000000−2i22i2002i2−2i20000000000−2i22i2−2i22i200002i2−2i22i2−2i20000000000000000000000000000000000000000
χ874-444-4-44-4400000000-44-44-44-400000000002i2−2i200−2i22i200000000002i2−2i22i2−2i20000−2i22i2−2i22i20000000000000000000000000000000000000000
χ884-444-4-44-4-2000000002-22-22-2223−2323−23−232323−2300−2i22i2002i2−2i20000000000i2−i2i2−i2i6−i6i6−i6−i2i2−i2i2−i6i6−i6i6000000000000000000000000000000000000
χ894-444-4-44-4-2000000002-22-22-2223−2323−23−232323−23002i2−2i200−2i22i20000000000−i2i2−i2i2−i6i6−i6i6i2−i2i2−i2i6−i6i6−i6000000000000000000000000000000000000
χ904-444-4-44-4-2000000002-22-22-22−2323−232323−23−232300−2i22i2002i2−2i20000000000i2−i2i2−i2−i6i6−i6i6−i2i2−i2i2i6−i6i6−i6000000000000000000000000000000000000
χ914-444-4-44-4-2000000002-22-22-22−2323−232323−23−2323002i2−2i200−2i22i20000000000−i2i2−i2i2i6−i6i6−i6i2−i2i2−i2−i6i6−i6i6000000000000000000000000000000000000
χ924-44-444-4-444-4-400040-444-4-4-444-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-444-4-44-444000-40-444-4-4-44-444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-444-4-4-24-4-4000402-2-2222-2-222-222-2-2000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ954-44-444-4-4-24-4-4000402-2-2222-2-222-222-2-2000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ964-44-444-4-4-2-444000-402-2-2222-22-2-22-2-222000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ974-44-444-4-4-2-444000-402-2-2222-22-2-22-2-222000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ984-4-444-4-44-244-44-4-4-442222-2-2-2-2-2-2-22222-440000000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-2-4-444-4-4442222-2-2-22222-2-2-2-24-400000000-2-2-2-222220000000000000000000000000000000000000000000000000000
χ1004-4-4-4-444440004-440-4-4-4444-4-4000000000000000000004-400-440000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-20004-440-422-2-2-2222323−23−23−2323−23230000000000−2323-2223−232-20000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-20004-440-422-2-2-222−23−23232323−2323−23000000000023−23-22−23232-20000000000000000000000000000000000000000000000000000

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