Finite Group Databasebeta

← Group #10592151

Character table — Group #10592151

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222444444488888812121212121212121111222222224444444888888121212121212121211112222222244444448888881212121212121212
order1222344446664121212121212246612124444888836663121212126661212121212121261266121212121212242424243666312121212666121212121212126126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-1
χ611111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-111
χ711111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-11111111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-11111111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-111
χ811111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-1
χ92222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000
χ1022222-2-2-2-22222-2-222-2-20000000000000022222-2-2-2-22222-2-222-2-20000000000000022222-2-2-2-22222-2-222-2-200000000000000
χ112222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ122222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000
χ132222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i3000000002222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i3000000002222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000
χ142222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i3000000002222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i3000000002222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000
χ152222-1-2-222-1-1-1-21111-1-12-2-1-111000000002222-1-2-222-1-1-1-21111-1-12-2-1-111000000002222-1-2-222-1-1-1-21111-1-12-2-1-11100000000
χ162222-1-2-222-1-1-1-21111-1-1-2211-1-1000000002222-1-2-222-1-1-1-21111-1-1-2211-1-1000000002222-1-2-222-1-1-1-21111-1-1-2211-1-100000000
χ172222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i300000000
χ182222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i300000000
χ192-22-222i−2i002-2-202i−2i000000000000002−2−i2i22-22-222i−2i002-2-202i−2i000000000000002−2−i2i22-22-222i−2i002-2-202i−2i000000000000002−2−i2i2
χ202-22-222i−2i002-2-202i−2i00000000000000−22i2−i22-22-222i−2i002-2-202i−2i00000000000000−22i2−i22-22-222i−2i002-2-202i−2i00000000000000−22i2−i2
χ212-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i22-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i22-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i2
χ222-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i22-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i22-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i2
χ232-2-222002-2-2-22000002-20000002i−2i0000002-2-222002-2-2-22000002-20000002i−2i0000002-2-222002-2-2-22000002-20000002i−2i000000
χ242-2-222002-2-2-22000002-2000000−2i2i0000002-2-222002-2-2-22000002-2000000−2i2i0000002-2-222002-2-2-22000002-2000000−2i2i000000
χ252-2-22200-22-2-2200000-22000000002-200002-2-22200-22-2-2200000-22000000002-200002-2-22200-22-2-2200000-22000000002-20000
χ262-2-22200-22-2-2200000-2200000000-2200002-2-22200-22-2-2200000-2200000000-2200002-2-22200-22-2-2200000-2200000000-220000
χ2744-4-440000-44-400000000000000000000044-4-440000-44-400000000000000000000044-4-440000-44-4000000000000000000000
χ2844-4-4-200002-2200023−23000000000000000044-4-4-200002-2200023−23000000000000000044-4-4-200002-2200023−230000000000000000
χ2944-4-4-200002-22000−2323000000000000000044-4-4-200002-22000−2323000000000000000044-4-4-200002-22000−23230000000000000000
χ304-44-4-24i−4i00-2220−2i2i0000000000000000004-44-4-24i−4i00-2220−2i2i0000000000000000004-44-4-24i−4i00-2220−2i2i000000000000000000
χ314-44-4-2−4i4i00-22202i−2i0000000000000000004-44-4-2−4i4i00-22202i−2i0000000000000000004-44-4-2−4i4i00-22202i−2i000000000000000000
χ324-4-44-2004-422-200000-22000000000000004-4-44-2004-422-200000-22000000000000004-4-44-2004-422-200000-2200000000000000
χ334-4-44-200-4422-2000002-2000000000000004-4-44-200-4422-2000002-2000000000000004-4-44-200-4422-2000002-200000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ351111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i32
χ361111111111111111111-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ371111111111111111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3811111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3911111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4011111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ4111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ422222222-2-2222-222-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300000000000000
χ4322222-2-2-2-22222-2-222-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000
χ442222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000
χ452222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000
χ462222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000
χ472222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200000000
χ482222-1-2-222-1-1-1-21111-1-12-2-1-11100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i3200000000
χ492222-1-2-222-1-1-1-21111-1-1-2211-1-100000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i32−1−i321+i321+i3200000000
χ502222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32003+i32−3−i32−3−i323+i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i3200−3+i323−i323−i32−3+i3200000000
χ512222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i300000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i3200−3−i323+i323+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32003−i32−3+i32−3+i323−i3200000000
χ522-22-222i−2i002-2-202i−2i000000000000002−2−i2i2−1+i31−i3−1+i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i302ζ14−2ζ1400000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i3−1−i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i302ζ22−2ζ2200000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13
χ532-22-222i−2i002-2-202i−2i00000000000000−22i2−i2−1+i31−i3−1+i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i302ζ14−2ζ1400000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i3−1−i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i302ζ22−2ζ2200000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13
χ542-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i2−1+i31−i3−1+i31−i3−1+i3−2ζ142ζ1400−1+i31−i31−i30−2ζ142ζ1400000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i3−1−i31+i3−1−i3−2ζ222ζ2200−1−i31+i31+i30−2ζ222ζ2200000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13
χ552-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i2−1+i31−i3−1+i31−i3−1+i3−2ζ142ζ1400−1+i31−i31−i30−2ζ142ζ1400000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i3−1−i31+i3−1−i3−2ζ222ζ2200−1−i31+i31+i30−2ζ222ζ2200000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13
χ562-2-222002-2-2-22000002-20000002i−2i000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i3−1+i300000−1+i31−i30000002ζ14−2ζ14000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i3−1−i300000−1−i31+i30000002ζ22−2ζ22000000
χ572-2-222002-2-2-22000002-2000000−2i2i000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i3−1+i300000−1+i31−i3000000−2ζ142ζ14000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i3−1−i300000−1−i31+i3000000−2ζ222ζ22000000
χ582-2-22200-22-2-2200000-22000000002-20000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3000001−i3−1+i300000000−1+i31−i30000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3000001+i3−1−i300000000−1−i31+i30000
χ592-2-22200-22-2-2200000-2200000000-220000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3000001−i3−1+i3000000001−i3−1+i30000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3000001+i3−1−i3000000001+i3−1−i30000
χ6044-4-440000-44-4000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i3000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i3000000000000000000000
χ6144-4-4-200002-2200023−230000000000000000−2+2i3−2+2i32−2i32−2i31−i30000−1+i31−i3−1+i3000−2ζ14−4ζ222ζ14+4ζ220000000000000000−2−2i3−2−2i32+2i32+2i31+i30000−1−i31+i3−1−i30004ζ14+2ζ22−4ζ14−2ζ220000000000000000
χ6244-4-4-200002-22000−23230000000000000000−2+2i3−2+2i32−2i32−2i31−i30000−1+i31−i3−1+i30002ζ14+4ζ22−2ζ14−4ζ220000000000000000−2−2i3−2−2i32+2i32+2i31+i30000−1−i31+i3−1−i3000−4ζ14−2ζ224ζ14+2ζ220000000000000000
χ634-44-4-24i−4i00-2220−2i2i000000000000000000−2+2i32−2i3−2+2i32−2i31−i34ζ14−4ζ14001−i3−1+i3−1+i30−2ζ142ζ14000000000000000000−2−2i32+2i3−2−2i32+2i31+i34ζ22−4ζ22001+i3−1−i3−1−i30−2ζ222ζ22000000000000000000
χ644-44-4-2−4i4i00-22202i−2i000000000000000000−2+2i32−2i3−2+2i32−2i31−i3−4ζ144ζ14001−i3−1+i3−1+i302ζ14−2ζ14000000000000000000−2−2i32+2i3−2−2i32+2i31+i3−4ζ224ζ22001+i3−1−i3−1−i302ζ22−2ζ22000000000000000000
χ654-4-44-2004-422-200000-2200000000000000−2+2i32−2i32−2i3−2+2i31−i300−2+2i32−2i3−1+i3−1+i31−i3000001−i3−1+i300000000000000−2−2i32+2i32+2i3−2−2i31+i300−2−2i32+2i3−1−i3−1−i31+i3000001+i3−1−i300000000000000
χ664-4-44-200-4422-2000002-200000000000000−2+2i32−2i32−2i3−2+2i31−i3002−2i3−2+2i3−1+i3−1+i31−i300000−1+i31−i300000000000000−2−2i32+2i32+2i3−2−2i31+i3002+2i3−2−2i3−1−i3−1−i31+i300000−1−i31+i300000000000000
χ67111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ681111111111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i32
χ691111111111111111111-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ701111111111111111111-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ7111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ7211111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ7311111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ7411111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ752222222-2-2222-222-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i300000000000000
χ7622222-2-2-2-22222-2-222-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000
χ772222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000
χ782222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ792222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000
χ802222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i321+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200000000
χ812222-1-2-222-1-1-1-21111-1-12-2-1-11100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i321−i32−1+i32−1+i3200000000
χ822222-1-2-222-1-1-1-21111-1-1-2211-1-100000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i32−1+i321−i321−i3200000000
χ832222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i300000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i3200−3+i323−i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i32003+i32−3−i32−3−i323+i3200000000
χ842222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i300000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i32003−i32−3+i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i3200−3−i323+i323+i32−3−i3200000000
χ852-22-222i−2i002-2-202i−2i000000000000002−2−i2i2−1−i31+i3−1−i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i302ζ22−2ζ2200000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i3−1+i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i302ζ14−2ζ1400000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ862-22-222i−2i002-2-202i−2i00000000000000−22i2−i2−1−i31+i3−1−i31+i3−1−i32ζ22−2ζ2200−1−i31+i31+i302ζ22−2ζ2200000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i3−1+i31−i3−1+i32ζ14−2ζ1400−1+i31−i31−i302ζ14−2ζ1400000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ872-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i2−1−i31+i3−1−i31+i3−1−i3−2ζ222ζ2200−1−i31+i31+i30−2ζ222ζ2200000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i3−1+i31−i3−1+i3−2ζ142ζ1400−1+i31−i31−i30−2ζ142ζ1400000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23
χ882-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i2−1−i31+i3−1−i31+i3−1−i3−2ζ222ζ2200−1−i31+i31+i30−2ζ222ζ2200000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i3−1+i31−i3−1+i3−2ζ142ζ1400−1+i31−i31−i30−2ζ142ζ1400000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23
χ892-2-222002-2-2-22000002-20000002i−2i000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i3−1−i300000−1−i31+i30000002ζ22−2ζ22000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i3−1+i300000−1+i31−i30000002ζ14−2ζ14000000
χ902-2-222002-2-2-22000002-2000000−2i2i000000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i31+i3−1−i300000−1−i31+i3000000−2ζ222ζ22000000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i31−i3−1+i300000−1+i31−i3000000−2ζ142ζ14000000
χ912-2-22200-22-2-2200000-22000000002-20000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3000001+i3−1−i300000000−1−i31+i30000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3000001−i3−1+i300000000−1+i31−i30000
χ922-2-22200-22-2-2200000-2200000000-220000−1−i31+i31+i3−1−i3−1−i3001+i3−1−i31+i31+i3−1−i3000001+i3−1−i3000000001+i3−1−i30000−1+i31−i31−i3−1+i3−1+i3001−i3−1+i31−i31−i3−1+i3000001−i3−1+i3000000001−i3−1+i30000
χ9344-4-440000-44-4000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i3000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i3000000000000000000000
χ9444-4-4-200002-2200023−230000000000000000−2−2i3−2−2i32+2i32+2i31+i30000−1−i31+i3−1−i30004ζ14+2ζ22−4ζ14−2ζ220000000000000000−2+2i3−2+2i32−2i32−2i31−i30000−1+i31−i3−1+i3000−2ζ14−4ζ222ζ14+4ζ220000000000000000
χ9544-4-4-200002-22000−23230000000000000000−2−2i3−2−2i32+2i32+2i31+i30000−1−i31+i3−1−i3000−4ζ14−2ζ224ζ14+2ζ220000000000000000−2+2i3−2+2i32−2i32−2i31−i30000−1+i31−i3−1+i30002ζ14+4ζ22−2ζ14−4ζ220000000000000000
χ964-44-4-24i−4i00-2220−2i2i000000000000000000−2−2i32+2i3−2−2i32+2i31+i34ζ22−4ζ22001+i3−1−i3−1−i30−2ζ222ζ22000000000000000000−2+2i32−2i3−2+2i32−2i31−i34ζ14−4ζ14001−i3−1+i3−1+i30−2ζ142ζ14000000000000000000
χ974-44-4-2−4i4i00-22202i−2i000000000000000000−2−2i32+2i3−2−2i32+2i31+i3−4ζ224ζ22001+i3−1−i3−1−i302ζ22−2ζ22000000000000000000−2+2i32−2i3−2+2i32−2i31−i3−4ζ144ζ14001−i3−1+i3−1+i302ζ14−2ζ14000000000000000000
χ984-4-44-2004-422-200000-2200000000000000−2−2i32+2i32+2i3−2−2i31+i300−2−2i32+2i3−1−i3−1−i31+i3000001+i3−1−i300000000000000−2+2i32−2i32−2i3−2+2i31−i300−2+2i32−2i3−1+i3−1+i31−i3000001−i3−1+i300000000000000
χ994-4-44-200-4422-2000002-200000000000000−2−2i32+2i32+2i3−2−2i31+i3002+2i3−2−2i3−1−i3−1−i31+i300000−1−i31+i300000000000000−2+2i32−2i32−2i3−2+2i31−i3002−2i3−2+2i3−1+i3−1+i31−i300000−1+i31−i300000000000000

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