Finite Group Databasebeta

← Group #13169193

Character table — Group #13169193

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order12223334466666666633366666666612121212121244443666121212121212121212124444121212121212121212121212121212122222446666666612121212121212121212121212121212444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1-1111111111111111-11-111-1-111-1-111-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1-1111-11-1-1-1-11111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-111-1-1-1-11111-1-111-1-1-111-1-111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-111111111-1-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-111111111-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-1-111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-11-11-1-1-1-111111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111111111111111-11-11-1-111-1-111-1-111-1-1-111-1-1-1-1-1-1-11
χ17222222-1222-1222-12-122-1-12-1-12-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1002222-1-122-1-10000-1-1-1-10022000000-1-1-1-10022-1-1-1-10000-1-1-1-10020000-1-10000
χ18222222-1222-1222-12-122-1-12-1-12-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-100-2-222-1-122-1-10000111100-2-2000000111100-2-2-1-1-1-10000111100-20000110000
χ19222222-1222-1222-12-122-1-12-1-12-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10022-2-211-2-2110000-1-1-1-100-2-20000001111002211110000-1-1-1-100-20000110000
χ20222222-1222-1222-12-122-1-12-1-12-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-211-2-211000011110022000000-1-1-1-100-2-21111000011110020000-1-10000
χ21222222-1-2-22-1222-12-122-1-12-1-12-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-211111111002-222-1-1-2-2110000-1-1110022000000-1-1-1-1002-2-1-1110000-1-11100-20000110000
χ22222222-1-2-22-1222-12-122-1-12-1-12-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-21111111100-2222-1-1-2-211000011-1-100-2-2000000111100-22-1-111000011-1-10020000-1-10000
χ23222222-1-2-22-1222-12-122-1-12-1-12-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-211111111002-2-2-21122-1-10000-1-11100-2-20000001111002-211-1-10000-1-1110020000-1-10000
χ24222222-1-2-22-1222-12-122-1-12-1-12-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-21111111100-22-2-21122-1-1000011-1-10022000000-1-1-1-100-2211-1-1000011-1-100-20000110000
χ2522222-1222-1222-12-122-12-1-12-1-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12200-1-122-1-122-1-1-1-10000220000-1-1-1-100002200-1-1-1-1-1-1-1-1000002000-1-1000000
χ2622222-1222-1222-12-122-12-1-12-1-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-2-200-1-122-1-12211110000-2-2000011110000-2-200-1-1-1-1111100000-200011000000
χ2722222-1222-1222-12-122-12-1-12-1-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1220011-2-211-2-2-1-1-1-10000-2-200001111000022001111-1-1-1-100000-200011000000
χ2822222-1222-1222-12-122-12-1-12-1-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2-20011-2-211-2-211110000220000-1-1-1-10000-2-20011111111000002000-1-1000000
χ2922222-12-2-2-1222-12-122-12-1-12-1-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-21111112-200-1-12211-2-2-1-1110000220000-1-1-1-100002-200-1-111-1-11100000-200011000000
χ3022222-12-2-2-1222-12-122-12-1-12-1-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-2111111-2200-1-12211-2-211-1-10000-2-2000011110000-2200-1-11111-1-1000002000-1-1000000
χ3122222-12-2-2-1222-12-122-12-1-12-1-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-21111112-20011-2-2-1-122-1-1110000-2-20000111100002-20011-1-1-1-111000002000-1-1000000
χ3222222-12-2-2-1222-12-122-12-1-12-1-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-2111111-220011-2-2-1-12211-1-10000220000-1-1-1-10000-220011-1-111-1-100000-200011000000
χ332222-1222222-1-12222-1-1-12-1-12-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-12222000000002222222200002200000000-1-1-1-10000-1-1-1-1-1-1-1-1200-1-10000-1-100
χ342222-1222222-1-12222-1-1-12-1-12-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-122-2-2000000002222-2-2-2-20000-2-200000000-1-1110000-1-1-1-11111-2001100001100
χ352222-1222222-1-12222-1-1-12-1-12-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-2-22200000000-2-2-2-222220000-2-20000000011-1-100001111-1-1-1-1-2001100001100
χ362222-1222222-1-12222-1-1-12-1-12-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200000000-2-2-2-2-2-2-2-2000022000000001111000011111111200-1-10000-1-100
χ372222-122-2-222-1-12222-1-1-12-1-12-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-211112-22-20000000022-2-222-2-200002200000000-11-110000-1-111-1-111-200-1-100001100
χ382222-122-2-222-1-12222-1-1-12-1-12-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-211112-2-220000000022-2-2-2-2220000-2-200000000-111-10000-1-11111-1-1200110000-1-100
χ392222-122-2-222-1-12222-1-1-12-1-12-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-21111-222-200000000-2-22222-2-20000-2-2000000001-1-11000011-1-1-1-111200110000-1-100
χ402222-122-2-222-1-12222-1-1-12-1-12-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-21111-22-2200000000-2-222-2-222000022000000001-11-1000011-1-111-1-1-200-1-100001100
χ4122-2-22220022-22-2-2-2-2-2222222-2-2-2-2-2-2000000000022-2-20000000000000000000000000000002-22-22-222-2-222-2-200000000000000000002-200000000
χ4222-2-22220022-22-2-2-2-2-2222222-2-2-2-2-2-2000000000022-2-20000000000000000000000000000002-2-22-2222-2-2-2-2220000000000000000000-2200000000
χ4322-2-22220022-22-2-2-2-2-2222222-2-2-2-2-2-2000000000022-2-2000000000000000000000000000000-222-2-22-2-22222-2-20000000000000000000-2200000000
χ4422-2-22220022-22-2-2-2-2-2222222-2-2-2-2-2-2000000000022-2-2000000000000000000000000000000-22-222-2-2-222-2-22200000000000000000002-200000000
χ452-2-222222-2-2-22-222-2-2-2222-2-2-2222-2-2-22-22-22-22i−2i2i−2i2-2-222-22-22-222-2-200002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i000000000000000000000
χ462-2-222222-2-2-22-222-2-2-2222-2-2-2222-2-2-22-22-22-2−2i2i−2i2i2-2-222-22-22-222-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i2i−2i2i000000000000000000000
χ472-2-22222-22-2-22-222-2-2-2222-2-2-2222-2-2-2-22-22-222i−2i−2i2i2-2-22-22-22-22-2-22200002i−2i2i−2i−2i2i−2i2i000000000000000000000000002i−2i−2i2i000000000000000000000
χ482-2-22222-22-2-22-222-2-2-2222-2-2-2222-2-2-2-22-22-22−2i2i2i−2i2-2-22-22-22-22-2-2220000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000−2i2i2i−2i000000000000000000000
χ492-2-2222-12-2-212-22-1-21-22-1-1-2112-1-1-2112-22-2-112i−2i2i−2i-111-12-2-11-11-1-11100002i−2i−ii2i−2i−ii00003−33−30000000000−i3i3−i3i30000−ii−ii00003−33−30000000−i3i30000
χ502-2-2222-12-2-212-22-1-21-22-1-1-2112-1-1-2112-22-2-112i−2i2i−2i-111-12-2-11-11-1-11100002i−2i−ii2i−2i−ii0000−33−330000000000i3−i3i3−i30000−ii−ii0000−33−330000000i3−i30000
χ512-2-2222-12-2-212-22-1-21-22-1-1-2112-1-1-2112-22-2-11−2i2i−2i2i-111-12-2-11-11-1-1110000−2i2ii−i−2i2ii−i00003−33−30000000000i3−i3i3−i30000i−ii−i00003−33−30000000i3−i30000
χ522-2-2222-12-2-212-22-1-21-22-1-1-2112-1-1-2112-22-2-11−2i2i−2i2i-111-12-2-11-11-1-1110000−2i2ii−i−2i2ii−i0000−33−330000000000−i3i3−i3i30000i−ii−i0000−33−330000000−i3i30000
χ532-2-2222-1-22-212-22-1-21-22-1-1-2112-1-1-211-22-221-12i−2i−2i2i-111-1-221-11-111-1-100002i−2i−ii−2i2ii−i00003−3−330000000000−i3i3−i3i30000−iii−i00003−3−330000000i3−i30000
χ542-2-2222-1-22-212-22-1-21-22-1-1-2112-1-1-211-22-221-12i−2i−2i2i-111-1-221-11-111-1-100002i−2i−ii−2i2ii−i0000−333−30000000000i3−i3i3−i30000−iii−i0000−333−30000000−i3i30000
χ552-2-2222-1-22-212-22-1-21-22-1-1-2112-1-1-211-22-221-1−2i2i2i−2i-111-1-221-11-111-1-10000−2i2ii−i2i−2i−ii00003−3−330000000000i3−i3i3−i30000i−i−ii00003−3−330000000−i3i30000
χ562-2-2222-1-22-212-22-1-21-22-1-1-2112-1-1-211-22-221-1−2i2i2i−2i-111-1-221-11-111-1-10000−2i2ii−i2i−2i−ii0000−333−30000000000−i3i3−i3i30000i−i−ii0000−333−30000000i3−i30000
χ572-2-222-122-21-22-2-121-2-2-12-11-21-12-11-212-2-112-22i−2i2i−2i-111-1-112-2-11-1-1110000−ii2i−2i−ii2i−2i3−33−30000000000−i3i3−i3i300000000−ii−ii3−33−3000000000−i3i3000000
χ582-2-222-122-21-22-2-121-2-2-12-11-21-12-11-212-2-112-22i−2i2i−2i-111-1-112-2-11-1-1110000−ii2i−2i−ii2i−2i−33−330000000000i3−i3i3−i300000000−ii−ii−33−33000000000i3−i3000000
χ592-2-222-122-21-22-2-121-2-2-12-11-21-12-11-212-2-112-2−2i2i−2i2i-111-1-112-2-11-1-1110000i−i−2i2ii−i−2i2i3−33−30000000000i3−i3i3−i300000000i−ii−i3−33−3000000000i3−i3000000
χ602-2-222-122-21-22-2-121-2-2-12-11-21-12-11-212-2-112-2−2i2i−2i2i-111-1-112-2-11-1-1110000i−i−2i2ii−i−2i2i−33−330000000000−i3i3−i3i300000000i−ii−i−33−33000000000−i3i3000000
χ612-2-222-12-221-22-2-121-2-2-12-11-21-12-11-21-221-1-222i−2i−2i2i-111-11-1-221-111-1-10000−ii2i−2ii−i−2i2i3−3−330000000000−i3i3−i3i300000000−iii−i3−3−33000000000i3−i3000000
χ622-2-222-12-221-22-2-121-2-2-12-11-21-12-11-21-221-1-222i−2i−2i2i-111-11-1-221-111-1-10000−ii2i−2ii−i−2i2i−333−30000000000i3−i3i3−i300000000−iii−i−333−3000000000−i3i3000000
χ632-2-222-12-221-22-2-121-2-2-12-11-21-12-11-21-221-1-22−2i2i2i−2i-111-11-1-221-111-1-10000i−i−2i2i−ii2i−2i3−3−330000000000i3−i3i3−i300000000i−i−ii3−3−33000000000−i3i3000000
χ642-2-222-12-221-22-2-121-2-2-12-11-21-12-11-21-221-1-22−2i2i2i−2i-111-11-1-221-111-1-10000i−i−2i2i−ii2i−2i−333−30000000000−i3i3−i3i300000000i−i−ii−333−3000000000i3−i3000000
χ6544444-2-244-2-244-2-2-2-24-2-21-2-21-2-21-2-2144-2-2-2-244441111-2-2-2-21111110000-2-2-2-2-2-2-2-2000000000000000000000000001111000000000000000000000
χ6644444-2-244-2-244-2-2-2-24-2-21-2-21-2-21-2-2144-2-2-2-2-4-4-4-41111-2-2-2-211111100002222222200000000000000000000000000-1-1-1-1000000000000000000000
χ6744444-2-2-4-4-2-244-2-2-2-24-2-21-2-21-2-21-2-21-4-4222244-4-411112222-1-1-1-1-1-10000-2-2-2-222220000000000000000000000000011-1-1000000000000000000000
χ6844444-2-2-4-4-2-244-2-2-2-24-2-21-2-21-2-21-2-21-4-42222-4-44411112222-1-1-1-1-1-100002222-2-2-2-200000000000000000000000000-1-111000000000000000000000
χ694444-24-2444-2-2-24-24-2-2-21-2-21-2-21-2-21-2-2-244-2-200001111-2-211-2-211110044000000000000-2-2-2-20000000000000000-2-20000000011110000000000000
χ704444-24-2444-2-2-24-24-2-2-21-2-21-2-21-2-21-2-2-244-2-200001111-2-211-2-2111100-4-4000000000000222200000000000000002200000000-1-1-1-10000000000000
χ714444-24-2-4-44-2-2-24-24-2-2-21-2-21-2-21-2-21-222-4-4220000111122-1-122-1-1-1-1004-4000000000000-2-2220000000000000000-220000000011-1-10000000000000
χ724444-24-2-4-44-2-2-24-24-2-2-21-2-21-2-21-2-21-222-4-4220000111122-1-122-1-1-1-100-4400000000000022-2-200000000000000002-200000000-1-1110000000000000
χ734444-2-2444-24-2-2-24-24-21-2-21-2-21-2-21-2-2-2-2-2-2440000111111-2-2-2-21111440000000000-2-2-2-2000000000000000000-2-2000000111100000000000000000
χ744444-2-2444-24-2-2-24-24-21-2-21-2-21-2-21-2-2-2-2-2-2440000111111-2-2-2-21111-4-40000000000222200000000000000000022000000-1-1-1-100000000000000000
χ754444-2-24-4-4-24-2-2-24-24-21-2-21-2-21-2-21-2-22222-4-400001111-1-12222-1-1-1-14-40000000000-2-222000000000000000000-2200000011-1-100000000000000000
χ764444-2-24-4-4-24-2-2-24-24-21-2-21-2-21-2-21-2-22222-4-400001111-1-12222-1-1-1-1-44000000000022-2-20000000000000000002-2000000-1-11100000000000000000
χ7744-4-444-2004-2-44-42-42-44-2-24-2-2-422-4220000000000-2-222000000000000000000000000000000004-4000000-2-22200000000000000000000000000000
χ7844-4-444-2004-2-44-42-42-44-2-24-2-2-422-4220000000000-2-22200000000000000000000000000000000-4400000022-2-200000000000000000000000000000
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Here i is the imaginary unit (i² = −1).