Finite Group Databasebeta

← Group #11788679

Character table — Group #11788679

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order122222334444666666121212122234466666666666121212121212121212121212121288882424242424242424666666661212121212121212888888242424242424242424242424448812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-11111-1-1-1-111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-11-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91-11-11-11111-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-1-111-111-1-11-1-111-1-11ii−i−iiiii−i−i−i−i1-11-111-1-11-11-111-1-1i−iii−i−iii−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ101-11-11-11111-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-1-111-111-1-11-1-111-1-11ii−i−iiiii−i−i−i−i1-11-111-1-11-11-111-1-1i−iii−i−iii−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ111-11-11-11111-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-1-111-111-1-11-1-111-1-11−i−iii−i−i−i−iiiii1-11-111-1-11-11-111-1-1−ii−i−iii−i−iii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ121-11-11-11111-1-1-1-1-1-11111-1-11-111-111-1-111-1-1-1-111-111-1-11-1-111-1-11−i−iii−i−i−i−iiiii1-11-111-1-11-11-111-1-1−ii−i−iii−i−iii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ131-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-1-111-1-111-1-1-1111-1-111-1-11ii−i−iiiii−i−i−i−i-111-1-1-111-111-1-1-111i−i−i−iiiii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-1-111-1-111-1-1-1111-1-111-1-11ii−i−iiiii−i−i−i−i-111-1-1-111-111-1-1-111i−i−i−iiiii−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-1-111-1-111-1-1-1111-1-111-1-11−i−iii−i−i−i−iiiii-111-1-1-111-111-1-1-111−iiii−i−i−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-1-111-1-111-1-1-1111-1-111-1-11−i−iii−i−i−i−iiiii-111-1-1-111-111-1-1-111−iiii−i−i−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ1722222222-2-2-2-2222222-2-2-2-20020022220000222-2-20000-2-2-2-2-2-2-2-20000000000000022000000-2-20000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ1822222222-2-2-2-2222222-2-2-2-20020022220000222-2-20000-2-2-2-2-2-2-2-20000000000000022000000-2-2000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-1222222-1-12-1222222-1222-12-12222-1-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-1222222-1-12-1222222-1222-12-12222-1-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ212222222-1222222-1-12-12222-2-2-1-2-22-12-1-2-2-2-2-1-1-122-2-2-2-2-1-1-1-1-1-1-1-100000000000011-1-1111111-1-1111100000000000000000022-2-2-1-1-1-111110000
χ222222222-1222222-1-12-12222-2-2-1-2-22-12-1-2-2-2-2-1-1-122-2-2-2-2-1-1-1-1-1-1-1-100000000000011-1-1111111-1-11111000000000000000000-2-2221111-1-1-1-10000
χ23222222-122222-1-122-12-1-1-1-122-122-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222-1-122-12-1-1-1-122-122-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ25222222-122222-1-122-12-1-1-1-1-2-2-1-2-2-12-121111-1-1-1-1-11111222-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111122-2-2-2-2-1-1-1-1111111110000000000000000
χ26222222-122222-1-122-12-1-1-1-1-2-2-1-2-2-12-121111-1-1-1-1-11111222-1-1-1-12-2-2-2-211111111-2-2-1-11111-2-2-1-11111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ27222222-12-2-2-2-2-1-122-12111100-100-12-12−i3i3−i3i3-1-1-111−i3i3−i3i3-2-2-21111-2000033−3−333−3−300-1-1−i3i3−i3i30011−i3i3−i3i3002i−2i2i−2i3−33−3−i−iii−i−iii0000000000000000
χ28222222-12-2-2-2-2-1-122-12111100-100-12-12−i3i3−i3i3-1-1-111−i3i3−i3i3-2-2-21111-20000−3−333−3−33300-1-1−i3i3−i3i30011−i3i3−i3i300−2i2i−2i2i−33−33ii−i−iii−i−i0000000000000000
χ29222222-12-2-2-2-2-1-122-12111100-100-12-12i3−i3i3−i3-1-1-111i3−i3i3−i3-2-2-21111-2000033−3−333−3−300-1-1i3−i3i3−i30011i3−i3i3−i300−2i2i−2i2i3−33−3ii−i−iii−i−i0000000000000000
χ30222222-12-2-2-2-2-1-122-12111100-100-12-12i3−i3i3−i3-1-1-111i3−i3i3−i3-2-2-21111-20000−3−333−3−33300-1-1i3−i3i3−i30011i3−i3i3−i3002i−2i2i−2i−33−33−i−iii−i−iii0000000000000000
χ312222-2-2222-22-2222222222200200-2-2-2-20000222-2-2000022-22222-222222222222200-2-2000000-2-20000-2-20000-2-2-2-2000000000000000000000000
χ322222-2-2222-22-2222222222200200-2-2-2-20000222-2-2000022-22222-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000-2-200002200002222000000000000000000000000
χ332222-2-222-22-22222222-2-2-2-2222-2-2-2-2-2-2222222222-2-2-2-2-2-22-2-2-2-2200000000000022-2-22222-2-222-2-2-2-20000000000000000000000000000000000
χ342222-2-222-22-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222222-2-22-2-2-2-22000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ352222-2-22-1-22-2222-1-12-1-2-2-2-222-1-2-2-21-212222-1-1-122-2-2-2-211-11111-1000000000000-1-111-1-1-1-111-1-111110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ362222-2-22-1-22-2222-1-12-1-2-2-2-222-1-2-2-21-212222-1-1-122-2-2-2-211-11111-1000000000000-1-111-1-1-1-111-1-111110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ372222-2-22-1-22-2222-1-12-1-2-2-2-2-2-2-122-21-21-2-2-2-2-1-1-122222211-11111-100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ382222-2-22-1-22-2222-1-12-1-2-2-2-2-2-2-122-21-21-2-2-2-2-1-1-122222211-11111-100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392222-2-2-122-22-2-1-122-12-1-1-1-100-1001-21-2−i3i3−i3i3-1-1-111i3−i3i3−i322-2-1-1-1-1-22222-1-1-1-1-1-1-1-10011−i3i3−i3i30011i3−i3i3−i3-2-200001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ402222-2-2-122-22-2-1-122-12-1-1-1-100-1001-21-2−i3i3−i3i3-1-1-111i3−i3i3−i322-2-1-1-1-1-2-2-2-2-2111111110011−i3i3−i3i30011i3−i3i3−i3220000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ412222-2-2-122-22-2-1-122-12-1-1-1-100-1001-21-2i3−i3i3−i3-1-1-111−i3i3−i3i322-2-1-1-1-1-22222-1-1-1-1-1-1-1-10011i3−i3i3−i30011−i3i3−i3i3-2-200001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ422222-2-2-122-22-2-1-122-12-1-1-1-100-1001-21-2i3−i3i3−i3-1-1-111−i3i3−i3i322-2-1-1-1-1-2-2-2-2-2111111110011i3−i3i3−i30011−i3i3−i3i3220000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ432222-2-2-12-22-22-1-122-12111122-1-2-21-21-2-1-1-1-1-1-1-1-1-11111-2-2211112000033−3−333−3−32211-1-1-1-1-2-2-1-11111000000−33−333−3−333−3−330000000000000000
χ442222-2-2-12-22-22-1-122-12111122-1-2-21-21-2-1-1-1-1-1-1-1-1-11111-2-22111120000−3−333−3−3332211-1-1-1-1-2-2-1-111110000003−33−3−333−3−333−30000000000000000
χ452222-2-2-12-22-22-1-122-121111-2-2-1221-21-21111-1-1-1-1-1-1-1-1-1-2-2211112000033−3−333−3−3-2-211111122-1-1-1-1-1-1000000−33−33−333−3−333−30000000000000000
χ462222-2-2-12-22-22-1-122-121111-2-2-1221-21-21111-1-1-1-1-1-1-1-1-1-2-22111120000−3−333−3−333-2-211111122-1-1-1-1-1-10000003−33−33−3−333−3−330000000000000000
χ472-22-22-222-2-222-2-2-2-222-2-2220020022-2-20000-2-22-220000-222-2-222-2000000000000002-2000000-220000002-2-22000022-2-2-2-2220000000000000000
χ482-22-22-222-2-222-2-2-2-222-2-2220020022-2-20000-2-22-220000-222-2-222-2000000000000002-2000000-22000000-222-20000-2-22222-2-20000000000000000
χ492-22-22-22-122-2-2-2-2112-122-2-22-2-12-22-1-2122-2-211-12-222-2-2-111-1-111-1000000000000-11-11-1-111-11-11-1-1110000000000000000002-22-2-1-111-1-1110000
χ502-22-22-22-122-2-2-2-2112-122-2-22-2-12-22-1-2122-2-211-12-222-2-2-111-1-111-1000000000000-11-11-1-111-11-11-1-111000000000000000000-22-2211-1-111-1-10000
χ512-22-22-22-122-2-2-2-2112-122-2-2-22-1-222-1-21-2-22211-12-2-2-222-111-1-111-10000000000001-1-1111-1-11-1-1111-1-10000000000000000002-2-22-1-11111-1-10000
χ522-22-22-22-122-2-2-2-2112-122-2-2-22-1-222-1-21-2-22211-12-2-2-222-111-1-111-10000000000001-1-1111-1-11-1-1111-1-1000000000000000000-222-211-1-1-1-1110000
χ532-22-22-2-1222-2-211-2-2-12-1-1112-2-12-2-121-2-1-11111-1-11-1-1112-2-2-1-11122i2i−2i−2i−i−i−i−iiiii2-2-11-1-1112-2-11-1-1112i−2i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000
χ542-22-22-2-1222-2-211-2-2-12-1-1112-2-12-2-121-2-1-11111-1-11-1-1112-2-2-1-1112−2i−2i2i2iiiii−i−i−i−i2-2-11-1-1112-2-11-1-111−2i2i−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000
χ552-22-22-2-1222-2-211-2-2-12-1-111-22-1-22-121-211-1-111-1-1111-1-12-2-2-1-11122i2i−2i−2i−i−i−i−iiiii-22-1111-1-1-22-1111-1-12i−2i−2i−2i2i2i−i−iiiiiii−i−i−i−i0000000000000000
χ562-22-22-2-1222-2-211-2-2-12-1-111-22-1-22-121-211-1-111-1-1111-1-12-2-2-1-1112−2i−2i2i2iiiii−i−i−i−i-22-1111-1-1-22-1111-1-1−2i2i2i2i−2i−2iii−i−i−i−i−i−iiiii0000000000000000
χ572-22-22-2-12-2-22211-2-2-1211-1-100-100-121-2−i3i3i3−i311-11-1−i3i3i3−i3-22211-1-1-20000−i3−i3i3i3i3i3−i3−i300-11−i3i3i3−i3001-1−i3i3i3−i3002-2-22−i3i3i3−i3-1-11111-1-10000000000000000
χ582-22-22-2-12-2-22211-2-2-1211-1-100-100-121-2−i3i3i3−i311-11-1−i3i3i3−i3-22211-1-1-20000i3i3−i3−i3−i3−i3i3i300-11−i3i3i3−i3001-1−i3i3i3−i300-222-2i3−i3−i3i311-1-1-1-1110000000000000000
χ592-22-22-2-12-2-22211-2-2-1211-1-100-100-121-2i3−i3−i3i311-11-1i3−i3−i3i3-22211-1-1-20000−i3−i3i3i3i3i3−i3−i300-11i3−i3−i3i3001-1i3−i3−i3i300-222-2−i3i3i3−i311-1-1-1-1110000000000000000
χ602-22-22-2-12-2-22211-2-2-1211-1-100-100-121-2i3−i3−i3i311-11-1i3−i3−i3i3-22211-1-1-20000i3i3−i3−i3−i3−i3i3i300-11i3−i3−i3i3001-1i3−i3−i3i3002-2-22i3−i3−i3i3-1-11111-1-10000000000000000
χ612-22-2-22222-2-22-2-2-2-22222-2-200200-2-2220000-2-22-2200002-2222-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00-22000000-220000−2i2i0000−2i−2i2i2i000000000000000000000000
χ622-22-2-22222-2-22-2-2-2-22222-2-200200-2-2220000-2-22-2200002-2222-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00-22000000-2200002i−2i00002i2i−2i−2i000000000000000000000000
χ632-22-2-2222-222-2-2-2-2-222-2-2222-22-22-2-22222-2-2-2-222-2-2-222-22-2-2-22220000000000002-2-2222-2-2-222-2-2-2220000000000000000000000000000000000
χ642-22-2-2222-222-2-2-2-2-222-2-222-2222-2-2-222-2-222-2-222-222-2-2-22-2-2-2222000000000000-22-22-2-2222-22-222-2-20000000000000000000000000000000000
χ652-22-2-222-1-222-2-2-2112-1-2-2222-2-1-22-212-122-2-211-12-2-2-2221-1111-1-1-1000000000000-111-1-1-1111-1-1111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ662-22-2-222-1-222-2-2-2112-1-2-2222-2-1-22-212-122-2-211-12-2-2-2221-1111-1-1-1000000000000-111-1-1-1111-1-1111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ672-22-2-222-1-222-2-2-2112-1-2-222-22-12-2-212-1-2-22211-12-222-2-21-1111-1-1-10000000000001-11-111-1-1-11-11-1-1110000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ682-22-2-222-1-222-2-2-2112-1-2-222-22-12-2-212-1-2-22211-12-222-2-21-1111-1-1-10000000000001-11-111-1-1-11-11-1-1110000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ692-22-2-22-122-2-2211-2-2-12-1-11100-1001-2-12−i3i3i3−i311-11-1i3−i3−i3i32-22-1-111-22i2i−2i−2i−i−i−i−iiiii001-1−i3i3i3−i3001-1i3−i3−i3i3−2i2i0000ii−i−i3−33−3−33−330000000000000000
χ702-22-2-22-122-2-2211-2-2-12-1-11100-1001-2-12−i3i3i3−i311-11-1i3−i3−i3i32-22-1-111-2−2i−2i2i2iiiii−i−i−i−i001-1−i3i3i3−i3001-1i3−i3−i3i32i−2i0000−i−iii−33−333−33−30000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.