Finite Group Databasebeta

← Group #10690551

Character table — Group #10690551

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222444444443444444446666666121212121212121222444444666612121212121212121212121212121212121212128888888824242424242424242424242424242424888888888888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1111111111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1111111111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−3000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000000000000000
χ3722-22-22-2-22i2i−2i−2i2i2i−2i−2i20000000022-2-22-2-22i2i−2i−2i2i2i−2i−2i002i−2i2-2000000000000002i2i−2i−2i000022-2-20000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000
χ3822-22-22-2-22i2i−2i−2i2i2i−2i−2i20000000022-2-22-2-22i2i−2i−2i2i2i−2i−2i002i−2i2-2000000000000002i2i−2i−2i000022-2-2000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000
χ3922-22-22-2-22i2i−2i−2i2i2i−2i−2i20000000022-2-22-2-22i2i−2i−2i2i2i−2i−2i00−2i2i-2200000000000000−2i−2i2i2i0000-2-2220000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000
χ4022-22-22-2-22i2i−2i−2i2i2i−2i−2i20000000022-2-22-2-22i2i−2i−2i2i2i−2i−2i00−2i2i-2200000000000000−2i−2i2i2i0000-2-222000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000
χ4122-22-22-2-2−2i−2i2i2i−2i−2i2i2i20000000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i002i−2i-22000000000000002i2i−2i−2i0000-2-2220000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000
χ4222-22-22-2-2−2i−2i2i2i−2i−2i2i2i20000000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i002i−2i-22000000000000002i2i−2i−2i0000-2-222000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000
χ4322-22-22-2-2−2i−2i2i2i−2i−2i2i2i20000000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i00−2i2i2-200000000000000−2i−2i2i2i000022-2-20000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000
χ4422-22-22-2-2−2i−2i2i2i−2i−2i2i2i20000000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i00−2i2i2-200000000000000−2i−2i2i2i000022-2-2000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000
χ4522-2-22-22-22i2i−2i−2i−2i−2i2i2i222-2-22i−2i2i−2i2-22-2-22-22i2i−2i−2i−2i−2i2i2i00000000000022-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000002-22i−2i00
χ4622-2-22-22-22i2i−2i−2i−2i−2i2i2i222-2-22i−2i2i−2i2-22-2-22-22i2i−2i−2i−2i−2i2i2i00000000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-22-22-22i2i−2i−2i−2i−2i2i2i2-2-222−2i2i−2i2i2-22-2-22-22i2i−2i−2i−2i−2i2i2i000000000000-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000002-200002i−2i
χ4822-2-22-22-22i2i−2i−2i−2i−2i2i2i2-2-222−2i2i−2i2i2-22-2-22-22i2i−2i−2i−2i−2i2i2i000000000000-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000000000-220000−2i2i
χ4922-2-22-22-2−2i−2i2i2i2i2i−2i−2i222-2-2−2i2i−2i2i2-22-2-22-2−2i−2i2i2i2i2i−2i−2i00000000000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000002-2−2i2i00
χ5022-2-22-22-2−2i−2i2i2i2i2i−2i−2i222-2-2−2i2i−2i2i2-22-2-22-2−2i−2i2i2i2i2i−2i−2i00000000000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000-222i−2i00
χ5122-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2-2222i−2i2i−2i2-22-2-22-2−2i−2i2i2i2i2i−2i−2i000000000000-2-2222i2i−2i−2i00000000000000000000000000000000000000000000000000002-20000−2i2i
χ5222-2-22-22-2−2i−2i2i2i2i2i−2i−2i2-2-2222i−2i2i−2i2-22-2-22-2−2i−2i2i2i2i2i−2i−2i000000000000-2-2222i2i−2i−2i0000000000000000000000000000000000000000000000000000-2200002i−2i
χ532-222-2-22-22i−2i2i−2i2i−2i2i−2i200000000-2-2222-2-22i−2i2i−2i2i−2i2i−2i2-200002i−2i22-2-20000000000002i2i−2i−2i00000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ542-222-2-22-22i−2i2i−2i2i−2i2i−2i200000000-2-2222-2-22i−2i2i−2i2i−2i2i−2i2-200002i−2i22-2-20000000000002i2i−2i−2i0000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ552-222-2-22-22i−2i2i−2i2i−2i2i−2i200000000-2-2222-2-22i−2i2i−2i2i−2i2i−2i-220000−2i2i-2-222000000000000−2i−2i2i2i00000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ562-222-2-22-22i−2i2i−2i2i−2i2i−2i200000000-2-2222-2-22i−2i2i−2i2i−2i2i−2i-220000−2i2i-2-222000000000000−2i−2i2i2i0000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ572-222-2-22-2−2i2i−2i2i−2i2i−2i2i200000000-2-2222-2-2−2i2i−2i2i−2i2i−2i2i2-20000−2i2i22-2-2000000000000−2i−2i2i2i00000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ582-222-2-22-2−2i2i−2i2i−2i2i−2i2i200000000-2-2222-2-2−2i2i−2i2i−2i2i−2i2i2-20000−2i2i22-2-2000000000000−2i−2i2i2i0000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ592-222-2-22-2−2i2i−2i2i−2i2i−2i2i200000000-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2200002i−2i-2-2220000000000002i2i−2i−2i00000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ602-222-2-22-2−2i2i−2i2i−2i2i−2i2i200000000-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2200002i−2i-2-2220000000000002i2i−2i−2i0000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ612-22-222-2-22i−2i2i−2i−2i2i−2i2i22-22-22i−2i−2i2i-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002-22-22i−2i2i−2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ622-22-222-2-22i−2i2i−2i−2i2i−2i2i22-22-22i−2i−2i2i-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002-22-22i−2i2i−2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ632-22-222-2-22i−2i2i−2i−2i2i−2i2i2-22-22−2i2i2i−2i-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000-22-22−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ642-22-222-2-22i−2i2i−2i−2i2i−2i2i2-22-22−2i2i2i−2i-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000-22-22−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ652-22-222-2-22i−2i2i−2i−2i2i−2i2i-12-22-22i−2i−2i2i1-11-11-11−ii−iii−ii−i00000000−i3i3−i3i3-11-11−ii−ii−i3i3−i3i33−33−33−33−3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ662-22-222-2-22i−2i2i−2i−2i2i−2i2i-12-22-22i−2i−2i2i1-11-11-11−ii−iii−ii−i00000000−i3i3−i3i3-11-11−ii−ii−i3i3−i3i33−33−33−33−32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ672-22-222-2-22i−2i2i−2i−2i2i−2i2i-12-22-22i−2i−2i2i1-11-11-11−ii−iii−ii−i00000000i3−i3i3−i3-11-11−ii−iii3−i3i3−i3−33−33−33−33−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ682-22-222-2-22i−2i2i−2i−2i2i−2i2i-12-22-22i−2i−2i2i1-11-11-11−ii−iii−ii−i00000000i3−i3i3−i3-11-11−ii−iii3−i3i3−i3−33−33−33−332ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ692-22-222-2-22i−2i2i−2i−2i2i−2i2i-1-22-22−2i2i2i−2i1-11-11-11−ii−iii−ii−i00000000−i3i3−i3i31-11-1i−ii−ii3−i3i3−i33−33−3−33−330000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000000000000000000000000
χ702-22-222-2-22i−2i2i−2i−2i2i−2i2i-1-22-22−2i2i2i−2i1-11-11-11−ii−iii−ii−i00000000−i3i3−i3i31-11-1i−ii−ii3−i3i3−i33−33−3−33−3300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000000000000000000000000
χ712-22-222-2-22i−2i2i−2i−2i2i−2i2i-1-22-22−2i2i2i−2i1-11-11-11−ii−iii−ii−i00000000i3−i3i3−i31-11-1i−ii−i−i3i3−i3i3−33−333−33−30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000000000000000000000000
χ722-22-222-2-22i−2i2i−2i−2i2i−2i2i-1-22-22−2i2i2i−2i1-11-11-11−ii−iii−ii−i00000000i3−i3i3−i31-11-1i−ii−i−i3i3−i3i3−33−333−33−300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000000000000000000000000
χ732-22-222-2-2−2i2i−2i2i2i−2i2i−2i22-22-2−2i2i2i−2i-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002-22-2−2i2i−2i2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ742-22-222-2-2−2i2i−2i2i2i−2i2i−2i22-22-2−2i2i2i−2i-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002-22-2−2i2i−2i2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ752-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22-222i−2i−2i2i-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000-22-222i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ762-22-222-2-2−2i2i−2i2i2i−2i2i−2i2-22-222i−2i−2i2i-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000-22-222i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ772-22-222-2-2−2i2i−2i2i2i−2i2i−2i-12-22-2−2i2i2i−2i1-11-11-11i−ii−i−ii−ii00000000−i3i3−i3i3-11-11i−ii−i−i3i3−i3i3−33−33−33−332ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ782-22-222-2-2−2i2i−2i2i2i−2i2i−2i-12-22-2−2i2i2i−2i1-11-11-11i−ii−i−ii−ii00000000−i3i3−i3i3-11-11i−ii−i−i3i3−i3i3−33−33−33−33−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ792-22-222-2-2−2i2i−2i2i2i−2i2i−2i-12-22-2−2i2i2i−2i1-11-11-11i−ii−i−ii−ii00000000i3−i3i3−i3-11-11i−ii−ii3−i3i3−i33−33−33−33−32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ802-22-222-2-2−2i2i−2i2i2i−2i2i−2i-12-22-2−2i2i2i−2i1-11-11-11i−ii−i−ii−ii00000000i3−i3i3−i3-11-11i−ii−ii3−i3i3−i33−33−33−33−3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ812-22-222-2-2−2i2i−2i2i2i−2i2i−2i-1-22-222i−2i−2i2i1-11-11-11i−ii−i−ii−ii00000000−i3i3−i3i31-11-1−ii−iii3−i3i3−i3−33−333−33−300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000000000000000
χ822-22-222-2-2−2i2i−2i2i2i−2i2i−2i-1-22-222i−2i−2i2i1-11-11-11i−ii−i−ii−ii00000000−i3i3−i3i31-11-1−ii−iii3−i3i3−i3−33−333−33−30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000000000000000000000000
χ832-22-222-2-2−2i2i−2i2i2i−2i2i−2i-1-22-222i−2i−2i2i1-11-11-11i−ii−i−ii−ii00000000i3−i3i3−i31-11-1−ii−ii−i3i3−i3i33−33−3−33−3300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000000000000000
χ842-22-222-2-2−2i2i−2i2i2i−2i2i−2i-1-22-222i−2i−2i2i1-11-11-11i−ii−i−ii−ii00000000i3−i3i3−i31-11-1−ii−ii−i3i3−i3i33−33−3−33−330000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000000000000000000000000
χ852-2-222-2-222-2-222-2-2222-2-2222-2-2-2-2-2-22222-2-222-2-220000000000002-2-222-2-22000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ862-2-222-2-222-2-222-2-2222-2-2222-2-2-2-2-2-22222-2-222-2-220000000000002-2-222-2-2200000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ872-2-222-2-222-2-222-2-222-222-2-2-222-2-2-2-22222-2-222-2-22000000000000-222-2-222-20000000000000000000000000000000000002-2-222-2-220000000000000000
χ882-2-222-2-222-2-222-2-222-222-2-2-222-2-2-2-22222-2-222-2-22000000000000-222-2-222-2000000000000000000000000000000000000-222-2-222-20000000000000000
χ892-2-222-2-22-222-2-222-222-2-22-2-222-2-2-2-2222-222-2-222-20000000000002-2-22-222-2000000000000000000000000000000000000000000002-2-222-2-2200000000
χ902-2-222-2-22-222-2-222-222-2-22-2-222-2-2-2-2222-222-2-222-20000000000002-2-22-222-200000000000000000000000000000000000000000000-222-2-222-200000000
χ912-2-222-2-22-222-2-222-22-222-222-2-2-2-2-2-2222-222-2-222-2000000000000-222-22-2-220000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ922-2-222-2-22-222-2-222-22-222-222-2-2-2-2-2-2222-222-2-222-2000000000000-222-22-2-22000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ93444-4-4-4-444444-4-4-4-44000000004-4-44-4-444444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ94444-4-4-4-444444-4-4-4-4-200000000-222-222-2-2-2-2-2222200000000−2i32i32i3−2i3000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ95444-4-4-4-444444-4-4-4-4-200000000-222-222-2-2-2-2-22222000000002i3−2i3−2i32i30000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ96444-4-4-4-44-4-4-4-444444000000004-4-44-4-44-4-4-4-4444400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ97444-4-4-4-44-4-4-4-44444-200000000-222-222-22222-2-2-2-200000000−2i32i32i3−2i30000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ98444-4-4-4-44-4-4-4-44444-200000000-222-222-22222-2-2-2-2000000002i3−2i3−2i32i3000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ9944-44-44-4-44i4i−4i−4i4i4i−4i−4i-200000000-2-222-222−2i−2i2i2i−2i−2i2i2i004i−4i4-400000000000000−2i−2i2i2i0000-2-222000000000000000000000000000000000000000000000000
χ10044-44-44-4-44i4i−4i−4i4i4i−4i−4i-200000000-2-222-222−2i−2i2i2i−2i−2i2i2i00−4i4i-44000000000000002i2i−2i−2i000022-2-2000000000000000000000000000000000000000000000000
χ10144-44-44-4-4−4i−4i4i4i−4i−4i4i4i-200000000-2-222-2222i2i−2i−2i2i2i−2i−2i004i−4i-4400000000000000−2i−2i2i2i000022-2-2000000000000000000000000000000000000000000000000
χ10244-44-44-4-4−4i−4i4i4i−4i−4i4i4i-200000000-2-222-2222i2i−2i−2i2i2i−2i−2i00−4i4i4-4000000000000002i2i−2i−2i0000-2-222000000000000000000000000000000000000000000000000
χ10344-4-44-44-44i4i−4i−4i−4i−4i4i4i-244-4-44i−4i4i−4i-22-222-22−2i−2i2i2i2i2i−2i−2i000000000000-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ10444-4-44-44-44i4i−4i−4i−4i−4i4i4i-2-4-444−4i4i−4i4i-22-222-22−2i−2i2i2i2i2i−2i−2i00000000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10544-4-44-44-4−4i−4i4i4i4i4i−4i−4i-244-4-4−4i4i−4i4i-22-222-222i2i−2i−2i−2i−2i2i2i000000000000-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10644-4-44-44-4−4i−4i4i4i4i4i−4i−4i-2-4-4444i−4i4i−4i-22-222-222i2i−2i−2i−2i−2i2i2i00000000000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ1074-444-4-44-44i−4i4i−4i4i−4i4i−4i-20000000022-2-2-222−2i2i−2i2i−2i2i−2i2i4-400004i−4i-2-222000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ1084-444-4-44-44i−4i4i−4i4i−4i4i−4i-20000000022-2-2-222−2i2i−2i2i−2i2i−2i2i-440000−4i4i22-2-20000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ1094-444-4-44-4−4i4i−4i4i−4i4i−4i4i-20000000022-2-2-2222i−2i2i−2i2i−2i2i−2i4-40000−4i4i-2-2220000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ1104-444-4-44-4−4i4i−4i4i−4i4i−4i4i-20000000022-2-2-2222i−2i2i−2i2i−2i2i−2i-4400004i−4i22-2-2000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ1114-4-444-4-444-4-444-4-44-24-4-4444-4-42222-2-2-2-222-2-222-2000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1124-4-444-4-444-4-444-4-44-2-444-4-4-4442222-2-2-2-222-2-222-20000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-4-44-444-4-444-4-24-4-44-4-4442222-2-2-22-2-222-2-22000000000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-4-44-444-4-444-4-2-444-444-4-42222-2-2-22-2-222-2-220000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-44444-4-44-444-4400000000-444-4-4-444-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-44444-4-44-444-4-2000000002-2-2222-2-222-22-2-220000000000000000000023−23−23230000−232323−23000000000000000000000000000000000000000000000000
χ1174-4-4-4-44444-4-44-444-4-2000000002-2-2222-2-222-22-2-2200000000000000000000−232323−23000023−23−2323000000000000000000000000000000000000000000000000
χ1184-4-4-4-4444-444-44-4-44400000000-444-4-4-44-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4444-444-44-4-44-2000000002-2-2222-22-2-22-222-20000000000000000000023−23−2323000023−23−2323000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444-444-44-4-44-2000000002-2-2222-22-2-22-222-200000000000000000000−232323−230000−232323−23000000000000000000000000000000000000000000000000

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