Finite Group Databasebeta

← Group #13147365

Character table — Group #13147365

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111112222222224444449999999999999999991212121218181818181818181818181818181818181818181818181818181824242424242436363636363636363636363636363636363648484848
order123366488121224242424226666448888121212122424242424242424336624444668888121212121212121224242424242424241212242424244488881212121224242424242424246666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ3111111111111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1ii−i−i-1-1-1-1i−iiiii−i−i−i−i-1-1-1-1ii−i−i111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111
χ4111111111111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1−i−iii-1-1-1-1−ii−i−i−i−iiiii-1-1-1-1−i−iii111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111
χ5111111111111111-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1
χ7111111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1ii−i−i-1-1-1-1i−iiiii−i−i−i−i-1-1-1-1ii−i−i11111111−i−iii1111−i−i−i−iiiii-1-1-1-1
χ8111111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1−i−iii-1-1-1-1−ii−i−i−i−iiiii-1-1-1-1−i−iii11111111ii−i−i1111iiii−i−i−i−i-1-1-1-1
χ91111111-1-111-1-1-1-11-111-1-111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-1
χ101111111-1-111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-1
χ111111111-1-111-1-1-1-11-111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1−i−iii-1-111i−i−i−i−i−iiiii1111ii−i−i11-1-1-1-1-11i−i−ii-1-111ii−i−i−i−iii11-1-1
χ121111111-1-111-1-1-1-11-111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1ii−i−i-1-111−iiiiii−i−i−i−i1111−i−iii11-1-1-1-1-11−iii−i-1-111−i−iiiii−i−i11-1-1
χ131111111-1-111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-1-111-1-111-1-111-1-111
χ141111111-1-111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-111-1-1-1-111
χ151111111-1-111-1-1-1-1-11-1-111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1−i−iii-1-111i−i−i−i−i−iiiii1111ii−i−i11-1-1-1-11-1−iii−i11-1-1−i−iiiii−i−i-1-111
χ161111111-1-111-1-1-1-1-11-1-111-1-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1ii−i−i-1-111−iiiiii−i−i−i−i1111−i−iii11-1-1-1-11-1i−i−ii11-1-1ii−i−i−i−iii-1-111
χ17222222-200-2-200000000002222222222222222222222-20000-2-200-2-2000000000000-2-2-2-2-2-200000000000000000000000000
χ18222222-200-2-2000000000022-2-2-2-22222-2-2-2-2-2-2-2-22222-20000-2-200220000000000002222-2-200000000000000000000000000
χ19222222-200-2-20000000000-2-22i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2222200002200−2i2i000000000000−2i−2i2i2i-2-200000000000000000000000000
χ20222222-200-2-20000000000-2-2−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i22222000022002i−2i0000000000002i2i−2i−2i-2-200000000000000000000000000
χ212-222-2-202−20022−2−20000002i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i2i−2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1322-2-201+i−1−i1−i−1+i00−i2i2001+i1+i−1−i−1−i1−i1−i−1+i−1+i−i2−i2i2i200000022−2−20000000000000000000000
χ222-222-2-202−20022−2−20000002i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i2i−2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1322-2-20−1−i1+i−1+i1−i00−i2i200−1−i−1−i1+i1+i−1+i−1+i1−i1−i−i2−i2i2i200000022−2−20000000000000000000000
χ232-222-2-202−20022−2−2000000−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i−2i2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2322-2-201−i−1+i1+i−1−i00i2−i2001−i1−i−1+i−1+i1+i1+i−1−i−1−ii2i2−i2−i200000022−2−20000000000000000000000
χ242-222-2-202−20022−2−2000000−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i−2i2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2322-2-20−1+i1−i−1−i1+i00i2−i200−1+i−1+i1−i1−i−1−i−1−i1+i1+ii2i2−i2−i200000022−2−20000000000000000000000
χ252-222-2-20−2200−2−2220000002i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i2i−2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1322-2-20−1−i1+i−1+i1−i00i2−i200−1−i−1−i1+i1+i−1+i−1+i1−i1−ii2i2−i2−i2000000−2−2220000000000000000000000
χ262-222-2-20−2200−2−2220000002i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i2i−2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1322-2-201+i−1−i1−i−1+i00i2−i2001+i1+i−1−i−1−i1−i1−i−1+i−1+ii2i2−i2−i2000000−2−2220000000000000000000000
χ272-222-2-20−2200−2−222000000−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i−2i2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2322-2-20−1+i1−i−1−i1+i00−i2i200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−i2−i2i2i2000000−2−2220000000000000000000000
χ282-222-2-20−2200−2−222000000−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i−2i2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2322-2-201−i−1+i1+i−1−i00−i2i2001−i1−i−1+i−1+i1+i1+i−1−i−1−i−i2−i2i2i2000000−2−2220000000000000000000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200001ii−i−i−1−i32−1+i3211i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−1−i32−1+i32−1−i32−1+i32ζ14ζ22−ζ14−ζ2200000011ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ3033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200001−i−iii−1−i32−1+i3211−ii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22ζ14ζ2200000011−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ3133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-111111+i321−i32-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32000000-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000
χ3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-1-1-1-1-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321+i321−i321−i321+i321−i321+i32000000-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000
χ3333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200001ii−i−i−1−i32−1+i3211i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22−1−i32−1+i32−1−i32−1+i32ζ14ζ22−ζ14−ζ22000000-1-1−i−iii1+i321−i321+i321−i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000
χ3433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200001−i−iii−1−i32−1+i3211−ii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22ζ14ζ22000000-1-1ii−i−i1+i321−i321+i321−i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000
χ3533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-111111+i321−i32-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i3200000011-1-1-1-1−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i321−i321+i321−i321+i320000
χ3633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-1-1-1-1-11+i321−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321+i321−i321−i321+i321−i321+i32000000111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000
χ3733−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200001−i−iii−1−i32−1+i32-1-1i−i−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ221+i321−i321+i321−i32ζ14ζ22−ζ14−ζ220000001-1i−i−ii−1−i32−1+i321+i321−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ220000
χ3833−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200001ii−i−i−1−i32−1+i32-1-1−iiζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ221+i321−i321+i321−i32−ζ14−ζ22ζ14ζ220000001-1−iii−i−1−i32−1+i321+i321−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ220000
χ3933−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-1-1-1-1-11+i321−i3211111−i321+i321−i321+i321−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32000000-111-11-11+i321−i32−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i320000
χ4033−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-111111+i321−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i32000000-11-11-111+i321−i32−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i320000
χ4133−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i3211ii−i−i−1−i32−1+i32−1−i32−1+i32ζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200001−i−iii−1−i32−1+i32-1-1i−i−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ221+i321−i321+i321−i32ζ14ζ22−ζ14−ζ22000000-11−iii−i1+i321−i32−1−i32−1+i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ220000
χ4233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i3211−i−iii−1−i32−1+i32−1−i32−1+i32−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200001ii−i−i−1−i32−1+i32-1-1−iiζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ221+i321−i321+i321−i32−ζ14−ζ22ζ14ζ22000000-11i−i−ii1+i321−i32−1−i32−1+i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ220000
χ4333−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000-1-1-1-1-11+i321−i3211111−i321+i321−i321+i321−i321+i321−i321+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i320000001-1-11-11−1−i32−1+i321+i321−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i320000
χ4433−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i320000-111111+i321−i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i321+i321−i321+i320000001-11-11-1−1−i32−1+i321+i321−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i320000
χ4533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3211ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ1400001ii−i−i−1+i32−1−i3211i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14−1+i32−1−i32−1+i32−1−i32ζ22ζ14−ζ22−ζ1400000011ii−i−i−1+i32−1−i32−1+i32−1−i32ζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000
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χ856-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ130000002i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ142ζ22−2ζ14−2ζ222ζ132ζ5−2ζ13−2ζ5−2ζ7−2ζ232ζ72ζ23000001−i−1+i1+i−1−i00−i2i200−ζ4−ζ22−ζ14−ζ20ζ4+ζ22ζ14+ζ20−ζ4+ζ22ζ14−ζ20ζ4−ζ22−ζ14+ζ20ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ1300000000000000000000000000000000
χ866-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ130000002i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ142ζ22−2ζ14−2ζ22−2ζ13−2ζ52ζ132ζ52ζ72ζ23−2ζ7−2ζ2300000−1+i1−i−1−i1+i00−i2i200ζ4+ζ22ζ14+ζ20−ζ4−ζ22−ζ14−ζ20ζ4−ζ22−ζ14+ζ20−ζ4+ζ22ζ14−ζ20ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ1300000000000000000000000000000000
χ876-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13000000−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ14−2ζ222ζ142ζ22−2ζ7−2ζ232ζ72ζ232ζ132ζ5−2ζ13−2ζ5000001+i−1−i1−i−1+i00i2−i200−ζ4+ζ22ζ14−ζ20ζ4−ζ22−ζ14+ζ20−ζ4−ζ22−ζ14−ζ20ζ4+ζ22ζ14+ζ20−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ1300000000000000000000000000000000
χ886-6−3+3i3−3−3i33−3i33+3i3032−32003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13000000−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ14−2ζ222ζ142ζ222ζ72ζ23−2ζ7−2ζ23−2ζ13−2ζ52ζ132ζ500000−1−i1+i−1+i1−i00i2−i200ζ4−ζ22−ζ14+ζ20−ζ4+ζ22ζ14−ζ20ζ4+ζ22ζ14+ζ20−ζ4−ζ22−ζ14−ζ20−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ1300000000000000000000000000000000
χ896-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ130000002i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ142ζ22−2ζ14−2ζ222ζ132ζ5−2ζ13−2ζ5−2ζ7−2ζ232ζ72ζ2300000−1+i1−i−1−i1+i00i2−i200ζ4+ζ22ζ14+ζ20−ζ4−ζ22−ζ14−ζ20ζ4−ζ22−ζ14+ζ20−ζ4+ζ22ζ14−ζ20−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ1300000000000000000000000000000000
χ906-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ130000002i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ142ζ22−2ζ14−2ζ22−2ζ13−2ζ52ζ132ζ52ζ72ζ23−2ζ7−2ζ23000001−i−1+i1+i−1−i00i2−i200−ζ4−ζ22−ζ14−ζ20ζ4+ζ22ζ14+ζ20−ζ4+ζ22ζ14−ζ20ζ4−ζ22−ζ14+ζ20−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ1300000000000000000000000000000000
χ916-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13000000−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ14−2ζ222ζ142ζ22−2ζ7−2ζ232ζ72ζ232ζ132ζ5−2ζ13−2ζ500000−1−i1+i−1+i1−i00−i2i200ζ4−ζ22−ζ14+ζ20−ζ4+ζ22ζ14−ζ20ζ4+ζ22ζ14+ζ20−ζ4−ζ22−ζ14−ζ20ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ1300000000000000000000000000000000
χ926-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ13000000−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ14−2ζ222ζ142ζ222ζ72ζ23−2ζ7−2ζ23−2ζ13−2ζ52ζ132ζ5000001+i−1−i1−i−1+i00−i2i200−ζ4+ζ22ζ14−ζ20ζ4−ζ22−ζ14+ζ20−ζ4−ζ22−ζ14−ζ20ζ4+ζ22ζ14+ζ20ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ1300000000000000000000000000000000
χ93888888-800-8-800000000000000000000000000002-42-4000000000000000000000000000-2400000000000000000000000000
χ94888888-800-8-80000000000000000000000000000-42-420000000000000000000000000004-200000000000000000000000000
χ958-888-8-8042−42004242−42−420000000000000000000000002-4-24000000000000000000000000000002−22−2220000000000000000000000
χ968-888-8-8042−42004242−42−42000000000000000000000000-424-200000000000000000000000000000−22222−20000000000000000000000
χ978-888-8-80−424200−42−4242420000000000000000000000002-4-2400000000000000000000000000000−2222−220000000000000000000000
χ988-888-8-80−424200−42−424242000000000000000000000000-424-20000000000000000000000000000022−2−2220000000000000000000000

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