Finite Group Databasebeta

← Group #10691521

Character table — Group #10691521

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888888888888888881212121224242424242448484848
order12222234444446661212121244466888812121212121212121212888888888824242424242424242424242424242424242424242424242422442488882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ9111111111-1-1-1-11111111-11-111ii−i−i11-1-1-1-1-1-1-1-111-1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1ii−i−i1-1i−i
χ10111111111-1-1-1-11111111-11-111ii−i−i11-1-1-1-1-1-1-1-111-1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11−i−iii-11−ii
χ11111111111-1-1-1-11111111-11-111ii−i−i11-1-1-1-1-1-1-1-1-1-111i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1ii−i−i-11−ii
χ12111111111-1-1-1-11111111-11-111ii−i−i11-1-1-1-1-1-1-1-1-1-111i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-11−i−iii1-1i−i
χ13111111111-1-1-1-11111111-11-111−i−iii11-1-1-1-1-1-1-1-111-1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−i−iii1-1−ii
χ14111111111-1-1-1-11111111-11-111−i−iii11-1-1-1-1-1-1-1-111-1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11ii−i−i-11i−i
χ15111111111-1-1-1-11111111-11-111−i−iii11-1-1-1-1-1-1-1-1-1-111−iiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1−i−iii-11i−i
χ16111111111-1-1-1-11111111-11-111−i−iii11-1-1-1-1-1-1-1-1-1-111−iiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-11ii−i−i1-1−ii
χ172222222-2-22222222-2-2-2-2-2-2-2222222-2-222-2-222-2-20000-2-200000000000022-2-222-2-20000000000000000000000
χ182222222-2-22222222-2-2-2-2-2-2-222-2-2-2-2-2-222-2-222-2-2000022000000000000-2-222-2-2220000000000000000000000
χ192222222-2-2-2-2-2-2222-2-2-2-22-22222i2i−2i−2i-2-2-2-222-2-2220000−2i2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ202222222-2-2-2-2-2-2222-2-2-2-22-2222−2i−2i2i2i-2-2-2-222-2-22200002i−2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ21222222-1222222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000000000
χ23222222-1222222-1-1-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000
χ24222222-1222222-1-1-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000000000
χ25222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-12i2i−2i−2i-1-11111111122-2-22i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000000000
χ26222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-12i2i−2i−2i-1-111111111-2-2222i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000
χ27222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-1−2i−2i2i2i-1-11111111122-2-2−2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000000000
χ28222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-1−2i−2i2i2i-1-111111111-2-222−2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000
χ29222222-1-2-22222-1-1-11111-2-2-2-1-1222211-1-111-1-1110000-2-2000033−3−333−3−3-1-111-1-11133−3−333−3−300000000000000
χ30222222-1-2-22222-1-1-11111-2-2-2-1-1222211-1-111-1-1110000-2-20000−3−333−3−333-1-111-1-111−3−333−3−33300000000000000
χ31222222-1-2-22222-1-1-11111-2-2-2-1-1-2-2-2-211-1-111-1-111000022000033−3−333−3−311-1-111-1-1−3−333−3−33300000000000000
χ32222222-1-2-22222-1-1-11111-2-2-2-1-1-2-2-2-211-1-111-1-1110000220000−3−333−3−33311-1-111-1-133−3−333−3−300000000000000
χ33222222-1-2-2-2-2-2-2-1-1-111112-22-1-12i2i−2i−2i1111-1-111-1-10000−2i2i000033−3−3−3−333−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i300000000000000
χ34222222-1-2-2-2-2-2-2-1-1-111112-22-1-12i2i−2i−2i1111-1-111-1-10000−2i2i0000−3−33333−3−3−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i300000000000000
χ35222222-1-2-2-2-2-2-2-1-1-111112-22-1-1−2i−2i2i2i1111-1-111-1-100002i−2i000033−3−3−3−333ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i300000000000000
χ36222222-1-2-2-2-2-2-2-1-1-111112-22-1-1−2i−2i2i2i1111-1-111-1-100002i−2i0000−3−33333−3−3ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i300000000000000
χ372222-2-222222-2-22222222-2-22-2-20000-2-222-2-2-2-222000000000000000000000000000000000022-2-2-2200000000
χ382222-2-222222-2-22222222-2-22-2-20000-2-222-2-2-2-2220000000000000000000000000000000000-2-2222-200000000
χ392222-2-2222-2-22222222222-2-2-2-20000-2-2-2-22222-2-200000000000000000000000000000000002222-2-200000000
χ402222-2-2222-2-22222222222-2-2-2-20000-2-2-2-22222-2-20000000000000000000000000000000000-2-2-2-22200000000
χ412222-2-22-2-222-2-2222-2-2-2-222-2-2-20000222222-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i0000
χ422222-2-22-2-222-2-2222-2-2-2-222-2-2-20000222222-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ432222-2-22-2-2-2-222222-2-2-2-2-222-2-2000022-2-2-2-2222200000000000000000000000000000000000000002-2-220000
χ442222-2-22-2-2-2-222222-2-2-2-2-222-2-2000022-2-2-2-222220000000000000000000000000000000000000000-222-20000
χ4522-2-22-22002i−2i2i−2i2-2-200000002-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i002−2−i2i2001+i−1−i1−i−1+i2−22−2−i2i2−i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ4622-2-22-22002i−2i2i−2i2-2-200000002-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i00−22i2−i200−1−i1+i−1+i1−i−22−22i2−i2i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ4722-2-22-22002i−2i2i−2i2-2-200000002-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i002−2−i2i200−1−i1+i−1+i1−i2−22−2−i2i2−i2i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ4822-2-22-22002i−2i2i−2i2-2-200000002-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i00−22i2−i2001+i−1−i1−i−1+i−22−22i2−i2i2−i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ4922-2-22-2200−2i2i−2i2i2-2-200000002-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i002−2i2−i2001−i−1+i1+i−1−i2−22−2i2−i2i2−i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ5022-2-22-2200−2i2i−2i2i2-2-200000002-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i00−22−i2i200−1+i1−i−1−i1+i−22−22−i2i2−i2i2−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ5122-2-22-2200−2i2i−2i2i2-2-200000002-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i002−2i2−i200−1+i1−i−1−i1+i2−22−2i2−i2i2−i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ5222-2-22-2200−2i2i−2i2i2-2-200000002-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i00−22−i2i2001−i−1+i1+i−1−i−22−22−i2i2−i2i22ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ5322-2-22-2-1002i−2i2i−2i-1113−33−3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii−i3i3−ii−i3i32−2−i2i2001+i−1−i1−i−1+iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000000000
χ5422-2-22-2-1002i−2i2i−2i-1113−33−3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii−i3i3−ii−i3i3−22i2−i200−1−i1+i−1+i1−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000000000
χ5522-2-22-2-1002i−2i2i−2i-1113−33−3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii−i3i3−ii−i3i32−2−i2i200−1−i1+i−1+i1−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000000000
χ5622-2-22-2-1002i−2i2i−2i-1113−33−3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii−i3i3−ii−i3i3−22i2−i2001+i−1−i1−i−1+i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000000000
χ5722-2-22-2-1002i−2i2i−2i-111−33−33000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−iii3−i3−iii3−i32−2−i2i2001+i−1−i1−i−1+iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000000000
χ5822-2-22-2-1002i−2i2i−2i-111−33−33000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−iii3−i3−iii3−i3−22i2−i200−1−i1+i−1+i1−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000000000
χ5922-2-22-2-1002i−2i2i−2i-111−33−33000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−iii3−i3−iii3−i32−2−i2i200−1−i1+i−1+i1−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000000000
χ6022-2-22-2-1002i−2i2i−2i-111−33−33000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−iii3−i3−iii3−i3−22i2−i2001+i−1−i1−i−1+i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000000000
χ6122-2-22-2-100−2i2i−2i2i-1113−33−3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−ii3−i3i−ii3−i32−2i2−i2001−i−1+i1+i−1−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ6222-2-22-2-100−2i2i−2i2i-1113−33−3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−ii3−i3i−ii3−i3−22−i2i200−1+i1−i−1−i1+i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
χ6322-2-22-2-100−2i2i−2i2i-1113−33−3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−ii3−i3i−ii3−i32−2i2−i200−1+i1−i−1−i1+iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
χ6422-2-22-2-100−2i2i−2i2i-1113−33−3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−ii3−i3i−ii3−i3−22−i2i2001−i−1+i1+i−1−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ6522-2-22-2-100−2i2i−2i2i-111−33−33000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−i3i3i−i−i3i32−2i2−i2001−i−1+i1+i−1−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ6622-2-22-2-100−2i2i−2i2i-111−33−33000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−i3i3i−i−i3i3−22−i2i200−1+i1−i−1−i1+i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ6722-2-22-2-100−2i2i−2i2i-111−33−33000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−i3i3i−i−i3i32−2i2−i200−1+i1−i−1−i1+iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ6822-2-22-2-100−2i2i−2i2i-111−33−33000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−i3i3i−i−i3i3−22−i2i2001−i−1+i1+i−1−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
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χ7344-4-4-444004i−4i−4i4i4-4-40000000-440000004i−4i00−4i4i00000000000000000000000000000000000000000000000000
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χ7644-4-4-44-2004i−4i−4i4i-222−2323−23230002-2000023−23−2i2i−2i32i32i−2i2i3−2i3000000000000000000000000000000000000000000000000
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χ794-44-40044-40000-44-444-4-400000000000000000000000000000000000000000000000000000004i−4i0000000000
χ804-44-40044-40000-44-444-4-40000000000000000000000000000000000000000000000000000000−4i4i0000000000
χ814-44-4004-440000-44-4-4-444000000000000000000000000000000000000000000000000000004-4000000000000
χ824-44-4004-440000-44-4-4-44400000000000000000000000000000000000000000000000000000-44000000000000
χ838-88-800-48-800004-44-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4-8800004-4444-4-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88008000000-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-8800-400000044-443−43−43430000000000000000000000000000000000000000000000000000000000000000000
χ878-8-8800-400000044-4−434343−430000000000000000000000000000000000000000000000000000000000000000000

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