Finite Group Databasebeta

← Group #11775592

Character table — Group #11775592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888881616161616161616181818181818363636363672727272
order1222223333446666666666664666666668888121212121212121244441212121212121212121212121212121212121212242424242424242424242424242424241212121212121212222244488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1
χ6111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111-1-1-1-111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-11-1i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-111-1ii−i−i1-1i−i
χ101111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-11-1i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111-1-11−i−iii-11−ii
χ111111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-11−ii1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-111-1ii−i−i-11−ii
χ121111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-11−ii1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-11−i−iii1-1i−i
χ131111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-11-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-111-1−i−iii1-1−ii
χ141111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-11-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111-1-11ii−i−i-11i−i
χ151111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-11i−i1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-111-1−i−iii-11i−i
χ161111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-11i−i1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-11ii−i−i1-1−ii
χ172222222222-2-2222222222222-2222222220000-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000000002222-2-2-200000000
χ182222222222-2-2222222222222-2222222220000-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000-2-2-2-222200000000
χ192222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ202222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ212222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-2-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ222222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ23222222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ24222222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-2-2-2-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ25222222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-122-2-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ26222222-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-2-222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-211000000000000000
χ27222222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ28222222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-2-2-2-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ29222222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-122-2-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ30222222-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-2-222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21000000000000000
χ31222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ32222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-2-2-2-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ33222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-12222-2-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
χ34222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-2000000000000000
χ352222-2-2222222222222222222-2-2-2-2-2-2-2-2-20000222222220000-2-2-2-2000000000000000000000000000000000000000022-2-2-2-2200000000
χ362222-2-2222222222222222222-2-2-2-2-2-2-2-2-20000222222220000-2-2-2-20000000000000000000000000000000000000000-2-22222-200000000
χ372222-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2111-21112i2i−2i−2i-2-21111112-22i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-2111000000000000000
χ382222-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2111-21112i2i−2i−2i-2-2111111-22−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-1000000000000000
χ392222-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2111-2111−2i−2i2i2i-2-21111112-2−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111000000000000000
χ402222-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-12-2111-2111−2i−2i2i2i-2-2111111-222i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-1000000000000000
χ412222-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-121-2111-2112i2i−2i−2i11-2-211112-22i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211000000000000000
χ422222-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-121-2111-2112i2i−2i−2i11-2-21111-22−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-1000000000000000
χ432222-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-121-2111-211−2i−2i2i2i11-2-211112-2−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211000000000000000
χ442222-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-121-2111-211−2i−2i2i2i11-2-21111-222i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-1000000000000000
χ452222-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-1211-2111-212i2i−2i−2i1111-2-2112-22i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21000000000000000
χ462222-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-1211-2111-212i2i−2i−2i1111-2-211-22−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii11-21-1-12-1000000000000000
χ472222-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-1211-2111-21−2i−2i2i2i1111-2-2112-2−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21000000000000000
χ482222-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-1211-2111-21−2i−2i2i2i1111-2-211-222i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i11-21-1-12-1000000000000000
χ492222-2-2-1-1-12-2-2-1-1-12-1-1-12-1-1-122111-2111-22i2i−2i−2i111111-2-22-22i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-2000000000000000
χ502222-2-2-1-1-12-2-2-1-1-12-1-1-12-1-1-122111-2111-22i2i−2i−2i111111-2-2-22−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i111-2-1-1-12000000000000000
χ512222-2-2-1-1-12-2-2-1-1-12-1-1-12-1-1-122111-2111-2−2i−2i2i2i111111-2-22-2−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-12111-2000000000000000
χ522222-2-2-1-1-12-2-2-1-1-12-1-1-12-1-1-122111-2111-2−2i−2i2i2i111111-2-2-222i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i111-2-1-1-12000000000000000
χ5322-2-22-22222002222-2-2-2-2-2-2-2-202222-2-2-2-22−22−2000000000000000000000000000000002−22−22−22−22−22−22−22−2000000002-22-20002−22−20000
χ5422-2-22-22222002222-2-2-2-2-2-2-2-202222-2-2-2-22−22−2000000000000000000000000000000002−22−22−22−22−22−22−22−200000000-22-22000−22−220000
χ5522-2-22-22222002222-2-2-2-2-2-2-2-202222-2-2-2-2−22−2200000000000000000000000000000000−22−22−22−22−22−22−22−22000000002-22-2000−22−220000
χ5622-2-22-22222002222-2-2-2-2-2-2-2-202222-2-2-2-2−22−2200000000000000000000000000000000−22−22−22−22−22−22−22−2200000000-22-220002−22−20000
χ5722-2-2-222222002222-2-2-2-2-2-2-2-20-2-2-2-22222−i2i2i2−i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000002-2-22000−i2i2i2−i20000
χ5822-2-2-222222002222-2-2-2-2-2-2-2-20-2-2-2-22222−i2i2i2−i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000-222-2000i2−i2−i2i20000
χ5922-2-2-222222002222-2-2-2-2-2-2-2-20-2-2-2-22222i2−i2−i2i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000002-2-22000i2−i2−i2i20000
χ6022-2-2-222222002222-2-2-2-2-2-2-2-20-2-2-2-22222i2−i2−i2i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000-222-2000−i2i2i2−i20000
χ614444444-2-2-2-4-44-2-2-24-2-2-24-2-2-2-44-2-2-24-2-2-20000-4-42222220000-42220000000000000000000000000000000000000000000000000000000
χ62444444-24-2-2-4-4-24-2-2-24-2-2-24-2-2-4-24-2-2-24-2-2000022-4-4222200002-4220000000000000000000000000000000000000000000000000000000
χ63444444-2-24-2-4-4-2-24-2-2-24-2-2-24-2-4-2-24-2-2-24-200002222-4-422000022-420000000000000000000000000000000000000000000000000000000
χ64444444-2-2-24-4-4-2-2-24-2-2-24-2-2-24-4-2-2-24-2-2-240000222222-4-40000222-40000000000000000000000000000000000000000000000000000000
χ654444-4-44-2-2-2444-2-2-24-2-2-24-2-2-2-4-4222-4222000044-2-2-2-2-2-20000-42220000000000000000000000000000000000000000000000000000000
χ664444-4-4-24-2-244-24-2-2-24-2-2-24-2-2-42-4222-4220000-2-244-2-2-2-200002-4220000000000000000000000000000000000000000000000000000000
χ674444-4-4-2-24-244-2-24-2-2-24-2-2-24-2-422-4222-420000-2-2-2-244-2-2000022-420000000000000000000000000000000000000000000000000000000
χ684444-4-4-2-2-2444-2-2-24-2-2-24-2-2-24-4222-4222-40000-2-2-2-2-2-2440000222-40000000000000000000000000000000000000000000000000000000
χ6944-4-44-44-2-2-2004-2-2-2-4222-422204-2-2-2-422222−2222−220000000000000000000000000000000022−22−22−22−2222−22−22−22−2200000000000000000000000
χ7044-4-44-44-2-2-2004-2-2-2-4222-422204-2-2-2-4222−2222−222200000000000000000000000000000000−22222−22−22−2−22222−22−22−200000000000000000000000
χ7144-4-44-4-24-2-200-24-2-22-4222-4220-24-2-22-42222−2222−2200000000000000000000000000000000−2222−22−22−22−2222−22−22−2200000000000000000000000
χ7244-4-44-4-24-2-200-24-2-22-4222-4220-24-2-22-422−2222−2222000000000000000000000000000000002−2−22222−22−22−2−22222−22−200000000000000000000000
χ7344-4-44-4-2-24-200-2-24-222-4222-420-2-24-222-4222−2222−2200000000000000000000000000000000−22−2222−22−22−22−2222−22−2200000000000000000000000
χ7444-4-44-4-2-24-200-2-24-222-4222-420-2-24-222-42−2222−2222000000000000000000000000000000002−22−2−22222−22−22−2−22222−200000000000000000000000
χ7544-4-44-4-2-2-2400-2-2-24222-4222-40-2-2-24222-422−2222−2200000000000000000000000000000000−22−22−2222−22−22−22−2222−2200000000000000000000000
χ7644-4-44-4-2-2-2400-2-2-24222-4222-40-2-2-24222-4−2222−2222000000000000000000000000000000002−22−22−2−22222−22−22−2−222200000000000000000000000
χ7744-4-4-444-2-2-2004-2-2-2-4222-42220-42224-2-2-2−2i22i22i2−2i200000000000000000000000000000000−2i22i2i2−i2i2−i2i2−i22i2−2i2−i2i2−i2i2−i2i200000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.