Finite Group Databasebeta

← Group #13168463

Character table — Group #13168463

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212444444441212121212121212366612121212121212121224661212121212121212121212121212121212121212121244446661212121212121222246666121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111111111-111-1-1111111-1-1-1-1111111111111-1-1111-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-11-1-11111-1-1-1-111111111111111-1-111-1-1-11-1-111111-1-1-111-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11-1-1-111-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-11-1-1-1-1-1-1-111111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-11-11111-1-111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-11-11-1-11111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-11-11-1-11111-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1111-11111-1-111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11
χ17222222-1-12-122-12222-1-12-1-12-122-1-1-1222222220022220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12222220022-1-122-1-100000000000000-1-1-1-1-1-1-1-1-1-1022000-1-1000000-100
χ18222222-1-12-122-12222-1-12-1-12-122-1-1-1222222220022-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-20022-1-1-2-21100000000000000-1-1-11-1-111110-2-200011000000100
χ19222222-1-12-122-12222-1-12-1-12-122-1-1-12222222200-2-2220000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22200-2-21122-1-100000000000000111-111-1-1-1-10-2-200011000000100
χ20222222-1-12-122-12222-1-12-1-12-122-1-1-12222222200-2-2-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-211-2-211000000000000001111111111022000-1-1000000-100
χ21222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022220000000000-1-1-1-1111111111-2-2-2-2-2-20022-1-122-1-1000000000000001111-1-1-1-11102-2000-1-1000000100
χ22222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022-2-20000000000-1-1-1-1111111111-22-2-2220022-1-1-2-21100000000000000111-1-1-111-1-10-2200011000000-100
χ23222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2220000000000-1-1-1-11111111112-222-2-200-2-21122-1-100000000000000-1-1-1111-1-1110-2200011000000-100
χ24222222-1-12-122-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2-2-20000000000-1-1-1-111111111122222200-2-211-2-21100000000000000-1-1-1-11111-1-102-2000-1-1000000100
χ2522222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-122002222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10200-1-1220000-1-122-1-1-1-1-1-1-1-1-1-10022000200-1-1-1-12000-1-1000000-1-1000
χ2622222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-12200-2-222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-2001122000011-2-2-1-1-1-1-1-1-1-1-1-100-2-2000-2001111-20001100000011000
χ2722222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-20022-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200-1-1-2-20000-1-122111111111100-2-2000200-1-1-1-1-20001100000011000
χ2822222-122-122-1222-1-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-200-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-20011-2-2000011-2-211111111110022000-20011112000-1-1000000-1-1000
χ2922222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-21111220022-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-20011220000-1-12211-1-1-1-1111100-2-2000-200-1-1112000-1-100000011000
χ3022222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-211112200-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110200-1-122000011-2-211-1-1-1-11111002200020011-1-1-200011000000-1-1000
χ3122222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-21111-2-200222211112222-1-1-1-1-2-2-21111110-20011-2-20000-1-122-1-11111-1-1-1-10022000-200-1-111-200011000000-1-1000
χ3222222-122-122-1222-1-1-12-2-12-12-1-1-12-111-2-21111-2-200-2-22211112222-1-1-1-1-2-2-21111110200-1-1-2-2000011-2-2-1-11111-1-1-1-100-2-200020011-1-12000-1-100000011000
χ332222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-1222200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-100-1-1-1-122000022-1-1-1-1-1-1-1-122002-1-10-1-1000000020000-1-1-1-100000
χ342222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-122-2-200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-201100-1-111-2-2000022-1-1-1-1-1-1-1-1-2-200-2110110000000-20000111100000
χ352222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-1-2-22200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-10011-1-1220000-2-211111111-2-2002-1-10-1-10000000-20000111100000
χ362222-122222-122-1-12-12-122-1-1-1-1-12-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2011001111-2-20000-2-2111111112200-211011000000020000-1-1-1-100000
χ372222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-2111111222200-2-222221111-1-1-1-1-211-2-21111-201100-1-1-1-1220000-2-2-1-1-1-111112200-2110-1-10000000-2000011-1-100000
χ382222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-211111122-2-200-2-222221111-1-1-1-1-211-2-2111120-1-100-1-111-2-20000-2-2-1-1-1-11111-2-2002-1-1011000000020000-1-11100000
χ392222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-2111111-2-2220022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20110011-1-1220000221111-1-1-1-1-2-200-2110-1-1000000020000-1-11100000
χ402222-122222-122-1-12-12-1-22-1-1-1-1-12-12-2-2111111-2-2-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-1-1001111-2-20000221111-1-1-1-122002-1-10110000000-2000011-1-100000
χ4122-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-20000000000002-22i−2i00002i2i−2i−2i22-2-20000000000000000000002-22-22i−2i00002i2i−2i−2i002i−2i0000002-2000000000000002i−2i000
χ4222-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-20000000000002-2−2i2i0000−2i−2i2i2i22-2-20000000000000000000002-22-2−2i2i0000−2i−2i2i2i00−2i2i0000002-200000000000000−2i2i000
χ4322-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-2000000000000-222i−2i00002i2i−2i−2i22-2-2000000000000000000000-22-222i−2i00002i2i−2i−2i00−2i2i000000-2200000000000000−2i2i000
χ4422-2-2222-2-2-2222-2-2-22220-2-2-2-22-222-2000000000000-22−2i2i0000−2i−2i2i2i22-2-2000000000000000000000-22-22−2i2i0000−2i−2i2i2i002i−2i000000-22000000000000002i−2i000
χ4522-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−300002-22i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−300003−3000000-112-2−ii−i3−i3i3i3−i−iii002i−2i000000-113−30000−i3i3000000−ii000
χ4622-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−300002-2−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−300003−3000000-112-2i−ii3i3−i3−i3ii−i−i00−2i2i000000-113−30000i3−i3000000i−i000
χ4722-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−30000-222i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−30000−330000001-1-22−ii−i3−i3i3i3−i−iii00−2i2i0000001-1−330000i3−i3000000i−i000
χ4822-2-22-12-21-22-12-2-21-1-1201-21-2-11-1213−30033−3−30000-22−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−30000−330000001-1-22i−ii3i3−i3−i3ii−i−i002i−2i0000001-1−330000−i3i3000000−ii000
χ4922-2-22-12-21-22-12-2-21-1-1201-21-2-11-121−3300−3−33300002-22i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−3330000−33000000-112-2−iii3i3−i3−i3−i−iii002i−2i000000-11−330000i3−i3000000−ii000
χ5022-2-22-12-21-22-12-2-21-1-1201-21-2-11-121−3300−3−33300002-2−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−3330000−33000000-112-2i−i−i3−i3i3i3ii−i−i00−2i2i000000-11−330000−i3i3000000i−i000
χ5122-2-22-12-21-22-12-2-21-1-1201-21-2-11-121−3300−3−3330000-222i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−33300003−30000001-1-22−iii3i3−i3−i3−i−iii00−2i2i0000001-13−30000−i3i3000000i−i000
χ5222-2-22-12-21-22-12-2-21-1-1201-21-2-11-121−3300−3−3330000-22−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−33300003−30000001-1-22i−i−i3−i3i3i3ii−i−i002i−2i0000001-13−30000i3−i3000000−ii000
χ532-22-22222-2-2-2-2-2-222222022-2-2-22-2-2-2000000002i−2i2i−2i00002i−2i2i−2i00002-22-20000000000000002i−2i2i−2i2i−2i0000002i−2i2i−2i00002-20000002i−2i000000000000002-200000
χ542-22-22222-2-2-2-2-2-222222022-2-2-22-2-2-2000000002i−2i−2i2i00002i−2i2i−2i00002-22-20000000000000002i−2i−2i2i−2i2i0000002i−2i2i−2i0000-22000000−2i2i00000000000000-2200000
χ552-22-22222-2-2-2-2-2-222222022-2-2-22-2-2-200000000−2i2i2i−2i0000−2i2i−2i2i00002-22-2000000000000000−2i2i2i−2i2i−2i000000−2i2i−2i2i0000-220000002i−2i00000000000000-2200000
χ562-22-22222-2-2-2-2-2-222222022-2-2-22-2-2-200000000−2i2i−2i2i0000−2i2i−2i2i00002-22-2000000000000000−2i2i−2i2i−2i2i000000−2i2i−2i2i00002-2000000−2i2i000000000000002-200000
χ572-22-2-1222-2-21-2-21-12-12-102-1111-1-21-2003−33−33−32i−2i2i−2i00002i−2i2i−2i−i3i3−i3i3-11-1103−3003−33−300−i3i300−ii−ii2i−2i000000−ii−ii−i3i3−i3i32-2000−i3i30−ii0000000000003−3-1100000
χ582-22-2-1222-2-21-2-21-12-12-102-1111-1-21-2003−33−33−32i−2i−2i2i00002i−2i2i−2i−i3i3−i3i3-11-1103−3003−33−300i3−i300−iii−i−2i2i000000−ii−ii−i3i3−i3i3-22000i3−i30i−i000000000000−331-100000
χ592-22-2-1222-2-21-2-21-12-12-102-1111-1-21-2003−33−33−3−2i2i2i−2i0000−2i2i−2i2ii3−i3i3−i3-11-1103−3003−33−300−i3i300i−i−ii2i−2i000000i−ii−ii3−i3i3−i3-22000−i3i30−ii000000000000−331-100000
χ602-22-2-1222-2-21-2-21-12-12-102-1111-1-21-2003−33−33−3−2i2i−2i2i0000−2i2i−2i2ii3−i3i3−i3-11-1103−3003−33−300i3−i300i−ii−i−2i2i000000i−ii−ii3−i3i3−i32-2000i3−i30i−i0000000000003−3-1100000
χ612-22-2-1222-2-21-2-21-12-12-102-1111-1-21-200−33−33−332i−2i2i−2i00002i−2i2i−2ii3−i3i3−i3-11-110−3300−33−3300i3−i300−ii−ii2i−2i000000−ii−iii3−i3i3−i32-2000i3−i30−ii000000000000−33-1100000
χ622-22-2-1222-2-21-2-21-12-12-102-1111-1-21-200−33−33−332i−2i−2i2i00002i−2i2i−2ii3−i3i3−i3-11-110−3300−33−3300−i3i300−iii−i−2i2i000000−ii−iii3−i3i3−i3-22000−i3i30i−i0000000000003−31-100000
χ632-22-2-1222-2-21-2-21-12-12-102-1111-1-21-200−33−33−33−2i2i2i−2i0000−2i2i−2i2i−i3i3−i3i3-11-110−3300−33−3300i3−i300i−i−ii2i−2i000000i−ii−i−i3i3−i3i3-22000i3−i30−ii0000000000003−31-100000
χ642-22-2-1222-2-21-2-21-12-12-102-1111-1-21-200−33−33−33−2i2i−2i2i0000−2i2i−2i2i−i3i3−i3i3-11-110−3300−33−3300−i3i300i−ii−i−2i2i000000i−ii−i−i3i3−i3i32-2000−i3i30i−i000000000000−33-1100000
χ6544444-2-2-2-2-24-2-244-2-21-241-2-2-2-2-21-21-2-244-2-2-2-200004400000000001111-2-2-21111110400-2-2000000-2-2-2-200000000000000000-200111100000000000000000
χ6644444-2-2-2-2-24-2-244-2-21-241-2-2-2-2-21-21-2-244-2-2-2-20000-4-400000000001111-2-2-21111110-40022000000222200000000000000000200-1-1-1-100000000000000000
χ6744444-2-2-2-2-24-2-244-2-21-2-41-2-2-2-2-21-2122-4-4222200004400000000001111222-1-1-1-1-1-10-40022000000-2-2-2-20000000000000000020011-1-100000000000000000
χ6844444-2-2-2-2-24-2-244-2-21-2-41-2-2-2-2-21-2122-4-422220000-4-400000000001111222-1-1-1-1-1-10400-2-2000000222200000000000000000-200-1-11100000000000000000
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χ704444-24-2-24-2-24-2-2-24-2-214-21-21-2-2-21-244-2-2-2-2-2-200-4-40000000000001111-211-2-21111-4022000022220000000000000000002-1-10-1-1000000000000000000000
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Here i is the imaginary unit (i² = −1).