Finite Group Databasebeta

← Group #13172221

Character table — Group #13172221

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122222333666666666666633366666666666666666666644441212121236666666664444121212121212121212121212121212121212121212121212121212121212121212124444441212121212124441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-11-11111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-111111111111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-11-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-111-1-11-1-111-1-111-1-11-11-1
χ101111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-11-1-111-11-1-1-11111-1-1-11-11
χ111111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-11-1-1111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-1-111-1-1111-1-11
χ121111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-111-11111-1-1-1-111-111-1
χ131111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-1-11111-1-1-1-111-11-11
χ141111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111-1-1111-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-11-1-1111-11-1-111-1-1111-11-1
χ151111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-11-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1111-111-1-1-11-1-1-11111-1-1-111-1
χ161111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-11-1-1111-1-111-1-111-1-11-1-11
χ1722222222-12222222-12-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-120220000-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-122220022-1-1-1-1000-1-1-1-100000000
χ1822222222-12222222-12-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-220000-1-111110000222200000000-1-1-1-1-1-1-1-1-2-2-2-200-2-21111000111100000000
χ1922222222-12222222-12-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-21111-1-1-1-1-1-1-1-1-1-1202-2000011-1-1-1-10000-2-2-2-20000000011111111-2-2-2-20022-1-1-1-1000111100000000
χ2022222222-12222222-12-1-1222-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-21111-1-1-1-1-1-1-1-1-1-1-20-2-200001111110000-2-2-2-20000000011111111222200-2-21111000-1-1-1-100000000
χ212222222-122-1222222-122-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222000000-1-1-1-1-1-1-1-1-1-122202222002222-1-1-1-10000-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-122000000000-1-100
χ222222222-122-1222222-122-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-22-20222200-2-2-2-2-1-1-1-10000-1-1-1-1-1-1-1-100000000000000111111-2-20000000001100
χ232222222-122-1222222-122-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-12-220-2-2-2-2002222111100001111111100000000000000-1-1-1-1-1-1-2-20000000001100
χ242222222-122-1222222-122-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-2-200-2-2-2-211110000111111110000000000000011111122000000000-1-100
χ25222222-122-12-1-1-1-1-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-122222222-122-1-1-1-1-1-1-10202-1-1-1-12200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000000020000-1-1-1-10000
χ26222222-122-12-1-1-1-1-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-122-1-1-1-1-1-1-1020-2-1-1-1-1-2-2000022221111-1-1-1-1-1-1-1-1111111110000-2-200000000-2000011110000
χ27222222-122-12-1-1-1-1-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-2222222-122-1-1-1-1-1-1-10-2021111220000-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000-2-200000000-2000011110000
χ28222222-122-12-1-1-1-1-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-10-20-21111-2-20000-2-2-2-2111111111111111111110000220000000020000-1-1-1-10000
χ292222-2-222-122-2-2-2-22-12-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-1-1-1-1-111-1-1-1111120-2-2000011-1-111000022-2-200000000-1-1-1-11111-2-222002-2-1-111000-1-11100000000
χ302222-2-222-122-2-2-2-22-12-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-1-1-1-1-111-1-1-11111-202-200001111-1-1000022-2-200000000-1-1-1-1111122-2-200-2211-1-100011-1-100000000
χ312222-2-222-122-2-2-2-22-12-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-21111-111-1-1-1111120-220000-1-1-1-1110000-2-222000000001111-1-1-1-122-2-2002-2-1-11100011-1-100000000
χ322222-2-222-122-2-2-2-22-12-1-1222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-21111-111-1-1-11111-20220000-1-111-1-10000-2-222000000001111-1-1-1-1-2-22200-2211-1-1000-1-11100000000
χ332222-2-22-122-1-2-2-2-222-122-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-1222000000-111-1-1-111112-2-2022-2-20022-2-2-1-1110000-1-1-1-1111100000000000000-11-1-1112-2000000000-1100
χ342222-2-22-122-1-2-2-2-222-122-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-1222000000-111-1-1-11111-2-22022-2-200-2-222-1-1110000-1-1-1-11111000000000000001-111-1-1-220000000001-100
χ352222-2-22-122-1-2-2-2-222-122-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-2000000-111-1-1-1111122-20-2-2220022-2-211-1-100001111-1-1-1-100000000000000-11-1-111-220000000001-100
χ362222-2-22-122-1-2-2-2-222-122-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-2000000-111-1-1-11111-2220-2-22200-2-22211-1-100001111-1-1-1-1000000000000001-111-1-12-2000000000-1100
χ372222-2-2-122-121111-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-122222222-1-2-2-1-1-111110-20-2-1-111-2-2000022-2-2-1-111-1-1-1-11111-1-1-1-1111100002200000000-20000-1-1110000
χ382222-2-2-122-121111-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-122-2-2-2-2-2-2-1-2-2-1-1-111110-202-1-11122000022-2-211-1-1-1-1-1-111111111-1-1-1-10000-2-2000000002000011-1-10000
χ392222-2-2-122-121111-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-2222222-1-2-2-1-1-11111020-211-1-1-2-20000-2-222-1-1111111-1-1-1-1-1-1-1-111110000-2-2000000002000011-1-10000
χ402222-2-2-122-121111-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-11111020211-1-1220000-2-22211-1-11111-1-1-1-11111-1-1-1-100002200000000-20000-1-1110000
χ412-22-200222-2-200002-2-22-22-22220000-2-22-2-2000000002-22-22-22i−2i2i2i−2i−2i2002-2-2000000002-2000000002-2002i−2i0022-2-200002i2i−2i−2i000000002i−2i00000000000002i−2i000000
χ422-22-200222-2-200002-2-22-22-22220000-2-22-2-2000000002-22-22-2−2i2i−2i−2i2i2i2002-2-2000000002-2000000002-200−2i2i0022-2-20000−2i−2i2i2i00000000−2i2i0000000000000−2i2i000000
χ432-22-200222-2-200002-2-22-22-22220000-2-22-2-2000000002-22-2-222i−2i2i2i−2i−2i2002-2-200000000-2200000000-22002i−2i00-2-22200002i2i−2i−2i00000000−2i2i0000000000000−2i2i000000
χ442-22-200222-2-200002-2-22-22-22220000-2-22-2-2000000002-22-2-22−2i2i−2i−2i2i2i2002-2-200000000-2200000000-2200−2i2i00-2-2220000−2i−2i2i2i000000002i−2i00000000000002i−2i000000
χ452-22-200-1221-2−i3−i3i3i3-1-2-22-221-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-112-22i−2i2i2i−2i−2i-100-111−i3−i3i3i30000-11−i3i30000002-200−ii3−3-1-111−i3−i3i3i3−i−iii33−3−300002i−2i0000000000000−ii3−30000
χ462-22-200-1221-2−i3−i3i3i3-1-2-22-221-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-112-2−2i2i−2i−2i2i2i-100-111−i3−i3i3i30000-11−i3i30000002-200i−i−33-1-111−i3−i3i3i3ii−i−i−3−3330000−2i2i0000000000000i−i−330000
χ472-22-200-1221-2−i3−i3i3i3-1-2-22-221-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-11-222i−2i2i2i−2i−2i-100-111−i3−i3i3i300001-1i3−i3000000-2200−ii3−311-1-1i3i3−i3−i3−i−iii33−3−30000−2i2i0000000000000i−i−330000
χ482-22-200-1221-2−i3−i3i3i3-1-2-22-221-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-11-22−2i2i−2i−2i2i2i-100-111−i3−i3i3i300001-1i3−i3000000-2200i−i−3311-1-1i3i3−i3−i3ii−i−i−3−33300002i−2i0000000000000−ii3−30000
χ492-22-200-1221-2i3i3−i3−i3-1-2-22-221-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-112-22i−2i2i2i−2i−2i-100-111i3i3−i3−i30000-11i3−i30000002-200−ii−33-1-111i3i3−i3−i3−i−iii−3−33300002i−2i0000000000000−ii−330000
χ502-22-200-1221-2i3i3−i3−i3-1-2-22-221-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-112-2−2i2i−2i−2i2i2i-100-111i3i3−i3−i30000-11i3−i30000002-200i−i3−3-1-111i3i3−i3−i3ii−i−i33−3−30000−2i2i0000000000000i−i3−30000
χ512-22-200-1221-2i3i3−i3−i3-1-2-22-221-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-11-222i−2i2i2i−2i−2i-100-111i3i3−i3−i300001-1−i3i3000000-2200−ii−3311-1-1−i3−i3i3i3−i−iii−3−3330000−2i2i0000000000000i−i3−30000
χ522-22-200-1221-2i3i3−i3−i3-1-2-22-221-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-11-22−2i2i−2i−2i2i2i-100-111i3i3−i3−i300001-1−i3i3000000-2200i−i3−311-1-1−i3−i3i3i3ii−i−i33−3−300002i−2i0000000000000−ii−330000
χ532-2-222-2222-222-22-2-22-2-2-2-222222-22-22-2-2-222-22-22-22-2-2-2-220000000022-2-22-22-22-2000000000000000000000000000000000000002i−2i2i−2i000000000002i−2i2i−2i00000000
χ542-2-222-2222-222-22-2-22-2-2-2-222222-22-22-2-2-222-22-22-22-2-2-2-220000000022-2-22-22-22-200000000000000000000000000000000000000−2i2i−2i2i00000000000−2i2i−2i2i00000000
χ552-2-222-222-1-222-22-2-2-1-211-222-1-12-2-112-211-12-22-2-11-1111-2-10000−i3i3−i3i3-1-111-11-11-1100000000−i3i33−33−30000000000000000−i3i3−i3i3−i3i3−i3i32i−2i2i−2i00003−33−3000−ii−ii00000000
χ562-2-222-222-1-222-22-2-2-1-211-222-1-12-2-112-211-12-22-2-11-1111-2-10000−i3i3−i3i3-1-111-11-11-1100000000−i3i3−33−330000000000000000−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i0000−33−33000i−ii−i00000000
χ572-2-222-222-1-222-22-2-2-1-211-222-1-12-2-112-211-12-22-2-11-1111-2-10000i3−i3i3−i3-1-111-11-11-1100000000i3−i33−33−30000000000000000i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i00003−33−3000i−ii−i00000000
χ582-2-222-222-1-222-22-2-2-1-211-222-1-12-2-112-211-12-22-2-11-1111-2-10000i3−i3i3−i3-1-111-11-11-1100000000i3−i3−33−330000000000000000i3−i3i3−i3i3−i3i3−i32i−2i2i−2i0000−33−33000−ii−ii00000000
χ592-2-22-22222-22-22-22-22-2-2-2-22222-22-222-2-2-22-22-22-22-22-2-2-22000000002-22-22-2-22-22000000000000000000000000000000000000002i−2i−2i2i00000000000−2i2i2i−2i00000000
χ602-2-22-22222-22-22-22-22-2-2-2-22222-22-222-2-2-22-22-22-22-22-2-2-22000000002-22-22-2-22-2200000000000000000000000000000000000000−2i2i2i−2i000000000002i−2i−2i2i00000000
χ612-2-22-2222-1-22-22-22-2-1-211-222-1-1-221-12-211-1-22-221-11-111-2-10000−i3i3−i3i3-11-11-111-11-100000000i3−i33−3−330000000000000000−i3i3−i3i3i3−i3i3−i3−2i2i2i−2i00003−3−33000−iii−i00000000
χ622-2-22-2222-1-22-22-22-2-1-211-222-1-1-221-12-211-1-22-221-11-111-2-10000−i3i3−i3i3-11-11-111-11-100000000i3−i3−333−30000000000000000−i3i3−i3i3i3−i3i3−i32i−2i−2i2i0000−333−3000i−i−ii00000000
χ632-2-22-2222-1-22-22-22-2-1-211-222-1-1-221-12-211-1-22-221-11-111-2-10000i3−i3i3−i3-11-11-111-11-100000000−i3i33−3−330000000000000000i3−i3i3−i3−i3i3−i3i32i−2i−2i2i00003−3−33000i−i−ii00000000
χ642-2-22-2222-1-22-22-22-2-1-211-222-1-1-221-12-211-1-22-221-11-111-2-10000i3−i3i3−i3-11-11-111-11-100000000−i3i3−333−30000000000000000i3−i3i3−i3−i3i3−i3i3−2i2i2i−2i0000−333−3000−iii−i00000000
χ654444444-2-24-244444-2-2-2-2-24-2-21-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211-2-20000000011111111114040000000-2-2-2-2000000000000000000000000000000-2-21111000000000000000
χ664444444-2-24-244444-2-2-2-2-24-2-21-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211-2-2000000001111111111-40-40000000222200000000000000000000000000000022-1-1-1-1000000000000000
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χ944-44-4004-24-4200004-424-4-2-4-24-20000224-4200000000-22-2-44-4000000-200-222000000004-400000000-22000000-2-222000000000000000000000000000000000000000
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χ1064-4-444-44-2-2-4-24-44-4-4-222224-2-21-22-22-22221-22-22-22-22-1-12-20000000011-1-11-11-11-10000000000−2323−2323000000000000000000000000000000003−33−3000000000000000
χ1074-4-444-4-24424-22-2224-4-4-4-4-2-2-244-44-4-22224-22-22-22-22-4-42-200000000-24-42-22-22-2200000000000000000000000000000000000000000000000000000000000000000
χ1084-4-444-4-24-224-22-222-2-422-4-2-21-24-4-22-22-1-1-2-22-221-11-122210000−2i32i3−2i32i31-22-11-11-11-100000000−2i32i300000000000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000
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χ120888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-42222222222222222200000000-122-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-8-8-4-4-4-4-44444-4-4-4-4-4-4-4222444422222-2-2-2-2-2-2-2-2222200000000-1-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000000
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χ12388-8-800-4-4-4-44−4i34i34i3−4i344-44-4442220000-22-22-22i3−2i3−2i32i32i3−2i3−2i32i3-22-2-200000000-10011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-800-4-4-4-444i3−4i3−4i34i344-44-4442220000-22-22-2−2i32i32i3−2i3−2i32i32i3−2i3-22-2-200000000-10011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000000
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χ1268-88-800-4-4-444−4i3−4i34i34i3-444-44-442220000-2-22-2-22i32i3−2i3−2i32i32i3−2i3−2i32-22-200000000-100-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000000000000
χ1278-88-800-4-4-4444i34i3−4i3−4i3-444-44-442220000-2-22-2-2−2i3−2i32i32i3−2i3−2i32i32i32-22-200000000-100-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).