Finite Group Databasebeta

← Group #13137313

Character table — Group #13137313

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order12223444444666121212121212336666661212121212121212121212123666121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ611111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ711111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ811111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000220000-1-1-1-1
χ10222222222222222222222-1222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200001111
χ1122222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222-2-2-2-2222-2-222-2-2222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ142222222-2-2-2-2222-2-222-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111-1-1111111-1-1-1-1111100000000000000000000000000000000−i3i3−i3i3
χ152222222-2-2-2-2222-2-222-2-22-1222-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-111-1-1111111-1-1-1-1111100000000000000000000000000000000i3−i3i3−i3
χ162222222-2-2-2-2222-2-222-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-1-2-222-2-21111-1-1-1-11111000000003333−3−3−3−33333−3−3−3−3000000000000
χ172222222-2-2-2-2222-2-222-2-2-12-1-1-1222-1-1-1-111111111-1-1-1-1-2-222-2-21111-1-1-1-1111100000000−3−3−3−33333−3−3−3−33333000000000000
χ1822222-2-222-2-2222-2-2-2-22222222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ1922222-2-222-2-2222-2-2-2-2222-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-11111-1-111111111-1-1-1-100000000000000000000000000000000−i3i3i3−i3
χ2022222-2-222-2-2222-2-2-2-2222-1222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-11111-1-111111111-1-1-1-100000000000000000000000000000000i3−i3−i3i3
χ2122222-2-222-2-2222-2-2-2-222-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-2-2-22211111111-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000000000
χ2222222-2-222-2-2222-2-2-2-222-12-1-1-12221111-1-1-1-11111-1-1-1-1-2-2-2-22211111111-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000000000
χ2322222-2-2-2-22222222-2-2-2-22-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000002-20000-1-111
χ2422222-2-2-2-22222222-2-2-2-22-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111-1-1-1-11111111100000000000000000000000000-22000011-1-1
χ2522222-2-2-2-22222222-2-2-2-2-12-1-1-122211111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222-2-2-2-22222222-2-2-2-2-12-1-1-122211111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722-2-2200002-22-2-22-20000222-2-22-2-20000000022-2-222-2-22-2000022-2-200000000000022-2-20000000022-2-222-2-2000000000000
χ2822-2-2200002-22-2-22-20000222-2-22-2-20000000022-2-222-2-22-2000022-2-2000000000000-2-22200000000-2-222-2-222000000000000
χ2922-2-2200002-22-2-22-20000-12-1112-2-233−3−333−3−3-1-111-1-1112-20000-1-11133−3−333−3−3000022-2-233−3−333−3−3-1-111-1-111000000000000
χ3022-2-2200002-22-2-22-20000-12-1112-2-233−3−333−3−3-1-111-1-1112-20000-1-11133−3−333−3−30000-2-222−3−333−3−33311-1-111-1-1000000000000
χ3122-2-2200002-22-2-22-20000-12-1112-2-2−3−333−3−333-1-111-1-1112-20000-1-111−3−333−3−333000022-2-2−3−333−3−333-1-111-1-111000000000000
χ3222-2-2200002-22-2-22-20000-12-1112-2-2−3−333−3−333-1-111-1-1112-20000-1-111−3−333−3−3330000-2-22233−3−333−3−311-1-111-1-1000000000000
χ3322-2-220000-222-2-2-220000222-2-22-2-200000000-2-22222-2-2-220000-2-2220000000022-2-2000022-2-2-2-22200000000000000000000
χ3422-2-220000-222-2-2-220000222-2-22-2-200000000-2-22222-2-2-220000-2-22200000000-2-2220000-2-22222-2-200000000000000000000
χ3522-2-220000-222-2-2-220000-12-1112-2-233−3−3−3−33311-1-1-1-111-22000011-1-133−3−3−3−33322-2-20000-1-11111-1-1−3−33333−3−3000000000000
χ3622-2-220000-222-2-2-220000-12-1112-2-233−3−3−3−33311-1-1-1-111-22000011-1-133−3−3−3−333-2-222000011-1-1-1-11133−3−3−3−333000000000000
χ3722-2-220000-222-2-2-220000-12-1112-2-2−3−33333−3−311-1-1-1-111-22000011-1-1−3−33333−3−322-2-20000-1-11111-1-133−3−3−3−333000000000000
χ3822-2-220000-222-2-2-220000-12-1112-2-2−3−33333−3−311-1-1-1-111-22000011-1-1−3−33333−3−3-2-222000011-1-1-1-111−3−33333−3−3000000000000
χ392-22-22002i−2i00-22-200002i−2i22-22-2-22-200002i−2i2i−2i00002-22-200002i−2i000000002i−2i2i−2i2−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22002i−2i00-22-200002i−2i22-22-2-22-200002i−2i2i−2i00002-22-200002i−2i000000002i−2i2i−2i−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22002i−2i00-22-200002i−2i-121-11-22-2−i3i3−i3i3−ii−ii3−33−3-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii2−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ422-22-22002i−2i00-22-200002i−2i-121-11-22-2−i3i3−i3i3−ii−ii3−33−3-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ432-22-22002i−2i00-22-200002i−2i-121-11-22-2i3−i3i3−i3−ii−ii−33−33-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii2−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ442-22-22002i−2i00-22-200002i−2i-121-11-22-2i3−i3i3−i3−ii−ii−33−33-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ452-22-2200−2i2i00-22-20000−2i2i22-22-2-22-20000−2i2i−2i2i00002-22-20000−2i2i00000000−2i2i−2i2i2−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-2200−2i2i00-22-20000−2i2i22-22-2-22-20000−2i2i−2i2i00002-22-20000−2i2i00000000−2i2i−2i2i−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-2200−2i2i00-22-20000−2i2i-121-11-22-2−i3i3−i3i3i−ii−i−33−33-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i2−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ482-22-2200−2i2i00-22-20000−2i2i-121-11-22-2−i3i3−i3i3i−ii−i−33−33-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ492-22-2200−2i2i00-22-20000−2i2i-121-11-22-2i3−i3i3−i3i−ii−i3−33−3-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i2−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ502-22-2200−2i2i00-22-20000−2i2i-121-11-22-2i3−i3i3−i3i−ii−i3−33−3-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ512-2-2222i−2i0000-2-22002i−2i0022-2-22-2-222i−2i−2i2i000000002-2-22002i−2i0000002i−2i−2i2i00002−2−22i2−i2−i2i22−2−22−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ522-2-2222i−2i0000-2-22002i−2i0022-2-22-2-222i−2i−2i2i000000002-2-22002i−2i0000002i−2i−2i2i0000−222−2−i2i2i2−i2−222−22−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ532-2-2222i−2i0000-2-22002i−2i00-1211-1-2-22−iii−i−i3i3i3−i3−333−3-111-1002i−2i00−333−3−iii−i−i3i3i3−i32−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ542-2-2222i−2i0000-2-22002i−2i00-1211-1-2-22−iii−i−i3i3i3−i3−333−3-111-1002i−2i00−333−3−iii−i−i3i3i3−i3−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ552-2-2222i−2i0000-2-22002i−2i00-1211-1-2-22−iii−ii3−i3−i3i33−3−33-111-1002i−2i003−3−33−iii−ii3−i3−i3i32−2−22i2−i2−i2i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ562-2-2222i−2i0000-2-22002i−2i00-1211-1-2-22−iii−ii3−i3−i3i33−3−33-111-1002i−2i003−3−33−iii−ii3−i3−i3i3−222−2−i2i2i2−i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ572-2-222−2i2i0000-2-2200−2i2i0022-2-22-2-22−2i2i2i−2i000000002-2-2200−2i2i000000−2i2i2i−2i00002−2−22−i2i2i2−i22−2−22−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ582-2-222−2i2i0000-2-2200−2i2i0022-2-22-2-22−2i2i2i−2i000000002-2-2200−2i2i000000−2i2i2i−2i0000−222−2i2−i2−i2i2−222−22−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ592-2-222−2i2i0000-2-2200−2i2i00-1211-1-2-22i−i−ii−i3i3i3−i33−3−33-111-100−2i2i003−3−33i−i−ii−i3i3i3−i32−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ602-2-222−2i2i0000-2-2200−2i2i00-1211-1-2-22i−i−ii−i3i3i3−i33−3−33-111-100−2i2i003−3−33i−i−ii−i3i3i3−i3−222−2i2−i2−i2i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ612-2-222−2i2i0000-2-2200−2i2i00-1211-1-2-22i−i−iii3−i3−i3i3−333−3-111-100−2i2i00−333−3i−i−iii3−i3−i3i32−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ622-2-222−2i2i0000-2-2200−2i2i00-1211-1-2-22i−i−iii3−i3−i3i3−333−3-111-100−2i2i00−333−3i−i−iii3−i3−i3i3−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ6344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ644444444-4-4-4-4444-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-222222222111122-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6544444-4-444-4-4444-4-4-4-444-2-2-2-2-2-2-2-22222-2-2-2-2222211112222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6644444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-222222222-2-2-2-21111-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ6744-4-4400004-44-4-44-400004-24-4-4-2220000000044-4-4-2-222-220000-2-22200000000000000000000000000000000000000000000
χ6844-4-4400004-44-4-44-40000-2-2-222-2222323−23−232323−23−23-2-22211-1-1-22000011-1-1−3−333−3−333000000000000000000000000000000000000
χ6944-4-4400004-44-4-44-40000-2-2-222-222−23−232323−23−232323-2-22211-1-1-22000011-1-133−3−333−3−3000000000000000000000000000000000000
χ7044-4-440000-444-4-4-4400004-24-4-4-22200000000-4-444-2-2222-2000022-2-200000000000000000000000000000000000000000000
χ7144-4-440000-444-4-4-440000-2-2-222-2222323−23−23−23−23232322-2-211-1-12-20000-1-111−3−33333−3−3000000000000000000000000000000000000
χ7244-4-440000-444-4-4-440000-2-2-222-222−23−2323232323−23−2322-2-211-1-12-20000-1-11133−3−3−3−333000000000000000000000000000000000000
χ734-44-44004i−4i00-44-400004i−4i4-2-44-42-2200004i−4i4i−4i0000-22-220000−2i2i00000000−2i2i−2i2i000000000000000000000000000000000000
χ744-44-44004i−4i00-44-400004i−4i-2-22-222-22−2i32i3−2i32i3−2i2i−2i2i23−2323−231-11-10000−2i2i−33−33i3−i3i3−i3i−ii−i000000000000000000000000000000000000
χ754-44-44004i−4i00-44-400004i−4i-2-22-222-222i3−2i32i3−2i3−2i2i−2i2i−2323−23231-11-10000−2i2i3−33−3−i3i3−i3i3i−ii−i000000000000000000000000000000000000
χ764-44-4400−4i4i00-44-40000−4i4i4-2-44-42-220000−4i4i−4i4i0000-22-2200002i−2i000000002i−2i2i−2i000000000000000000000000000000000000
χ774-44-4400−4i4i00-44-40000−4i4i-2-22-222-22−2i32i3−2i32i32i−2i2i−2i−2323−23231-11-100002i−2i3−33−3i3−i3i3−i3−ii−ii000000000000000000000000000000000000
χ784-44-4400−4i4i00-44-40000−4i4i-2-22-222-222i3−2i32i3−2i32i−2i2i−2i23−2323−231-11-100002i−2i−33−33−i3i3−i3i3−ii−ii000000000000000000000000000000000000
χ794-4-4444i−4i0000-4-44004i−4i004-2-4-4422-24i−4i−4i4i00000000-222-200−2i2i000000−2i2i2i−2i0000000000000000000000000000000000000000
χ804-4-4444i−4i0000-4-44004i−4i00-2-222-222-2−2i2i2i−2i−2i32i32i3−2i3−232323−231-1-1100−2i2i003−3−33i−i−iii3−i3−i3i3000000000000000000000000000000000000
χ814-4-4444i−4i0000-4-44004i−4i00-2-222-222-2−2i2i2i−2i2i3−2i3−2i32i323−23−23231-1-1100−2i2i00−333−3i−i−ii−i3i3i3−i3000000000000000000000000000000000000
χ824-4-444−4i4i0000-4-4400−4i4i004-2-4-4422-2−4i4i4i−4i00000000-222-2002i−2i0000002i−2i−2i2i0000000000000000000000000000000000000000
χ834-4-444−4i4i0000-4-4400−4i4i00-2-222-222-22i−2i−2i2i−2i32i32i3−2i323−23−23231-1-11002i−2i00−333−3−iii−ii3−i3−i3i3000000000000000000000000000000000000
χ844-4-444−4i4i0000-4-4400−4i4i00-2-222-222-22i−2i−2i2i2i3−2i3−2i32i3−232323−231-1-11002i−2i003−3−33−iii−i−i3i3i3−i3000000000000000000000000000000000000
χ856666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000002200-1-1-1-10000
χ866666-3666666-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000-2-20011110000
χ876666-366-6-6-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i30000
χ886666-366-6-6-6-6-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i30000
χ896666-3-6-666-6-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000
χ906666-3-6-666-6-6-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000
χ916666-3-6-6-6-666-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000002-200-1-1110000
χ926666-3-6-6-6-666-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000-220011-1-10000
χ931212-12-12-6000012-12-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-12-60000-1212-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-60012i−12i006-660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-600−12i12i006-6600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212-612i−12i000066-600−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-6−12i12i000066-6006i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000

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