Finite Group Databasebeta

← Group #11774655

Character table — Group #11774655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122244443344446666661212121212121212366612121212121212121212121244448812121212242424242424242424242424242424242224446688881212121212122424242424242424668812122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i111-1-1-111ii−i−i11-1-1-1-1iiii−i−i−i−i11i−i-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1-1-1-11111−i−iii11-1-1-1-1−i−i−i−iiiii-1-1i−i11ii−i−i-1-111−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii111-1-1-111−i−iii11-1-1-1-1−i−i−i−iiiii11−ii-1-1−i−iii11-1-1−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1-1-1-11111ii−i−i11-1-1-1-1iiii−i−i−i−i-1-1−ii11−i−iii-1-111ii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1111-1-1-1-1ii−i−i-1-11111iiii−i−i−i−i11−ii-1-1−i−iii-1-111−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1111-1-1−i−iii-1-11111−i−i−i−iiiii-1-1−ii11−i−iii11-1-1ii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1111-1-1-1-1−i−iii-1-11111−i−i−i−iiiii11i−i-1-1ii−i−i-1-111ii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1111-1-1ii−i−i-1-11111iiii−i−i−i−i-1-1i−i11ii−i−i11-1-1−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200-2-2-2-20000000000000000-200-200-2-200002222-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200-2-2-2-20000000000000000200200220000-2-2-2-22200000000000000000000000000
χ19222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1022022002222000000-1-1-1-1-1-1-1-1-1-100-1-1000000000000
χ20222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-20-2-200-2-2-2-200000011111111110011000000000000
χ21222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-11111-2-2-2-21111111102202200-2-2-2-200000011111111-1-100-1-1000000000000
χ22222222222-12222-1-1222-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-11111-2-2-2-2111111110-2-20-2-2002222000000-1-1-1-1-1-1-1-1110011000000000000
χ2322222222-12222222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1200200-1-10000-1-1-1-1-1-100000000002200-1-1-1-100000000
χ2422222222-12222222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-1-1-1-1-2-2-2-2111111111111200200-1-10000-1-1-1-1-1-10000000000-2-200111100000000
χ2522222222-12222222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-200-2001100001111110000000000-2-200111100000000
χ2622222222-12222222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-2-2-2-2111111111111-200-20011000011111100000000002200-1-1-1-100000000
χ2722222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-200-200110000-1-1-1-11100000000000000−i3i3−i3i300000000
χ2822222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-200-200110000-1-1-1-11100000000000000i3−i3i3−i300000000
χ2922222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3200200-1-100001111-1-100000000000000i3−i3i3−i300000000
χ3022222222-12-2-2-2-222-1-1-12-1-12222-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3200200-1-100001111-1-100000000000000−i3i3−i3i300000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-2-200-2-2220000000000000000-200200-2-2000022-2-22200000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222-2-22200-2-2220000000000000000200-200220000-2-222-2-200000000000000000000000000
χ332222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1-1-122-2-211111100002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii0220-2-2002i2i−2i−2i000000−i−i−i−iiiii-1-10011000000000000
χ342222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1-1-122-2-211111100002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii0-2-202200−2i−2i2i2i000000iiii−i−i−i−i1100-1-1000000000000
χ352222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1-1-122-2-21111110000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i0220-2-200−2i−2i2i2i000000iiii−i−i−i−i-1-10011000000000000
χ362222-2-2-2-22-122-2-2-1-1222-1-2-21111-2-2-1-1-1-1-1-122-2-21111110000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i0-2-2022002i2i−2i−2i000000−i−i−i−iiiii1100-1-1000000000000
χ372222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-122-1-1111111-2-222-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii200-200-1-10000-1-1111100000000002i−2i00−i−iii00000000
χ382222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-122-1-1111111-2-222-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i200-200-1-10000-1-111110000000000−2i2i00ii−i−i00000000
χ392222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-122-1-1111111-2-2-2-2222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii-20020011000011-1-1-1-10000000000−2i2i00ii−i−i00000000
χ402222-2-2-2-2-1222-2-222-1-1-1211-2-2-2-211-1-1-1-122-1-1111111-2-2-2-222−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i-20020011000011-1-1-1-100000000002i−2i00−i−iii00000000
χ412222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-1-2-211-1-111112222-2-20011-1-100003−3−3333−3−3−3−333-200200110000-1-111-1-1000000000000003−3−3300000000
χ422222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-1-2-211-1-111112222-2-20011-1-10000−333−3−3−33333−3−3-200200110000-1-111-1-100000000000000−333−300000000
χ432222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-1-2-211-1-1111122-2-2220011-1-100003−3−3333−3−3−3−333200-200-1-1000011-1-11100000000000000−333−300000000
χ442222-2-2-2-2-12-2-22222-1-1-1211-2-2-2-211-1-1-1-1-2-211-1-1111122-2-2220011-1-10000−333−3−3−33333−3−3200-200-1-1000011-1-111000000000000003−3−3300000000
χ452-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002i−2i2-20000000000000000000000000000001+i−1−i1−i−1+i2i−2i2-2001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000001−i−1+i1+i−1−i
χ462-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002i−2i2-2000000000000000000000000000000−1−i1+i−1+i1−i2i−2i2-200−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000−1+i1−i−1−i1+i
χ472-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2i2i-220000000000000000000000000000001+i−1−i1−i−1+i−2i2i-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000−1+i1−i−1−i1+i
χ482-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2i2i-22000000000000000000000000000000−1−i1+i−1+i1−i−2i2i-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000001−i−1+i1+i−1−i
χ492-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002i−2i-220000000000000000000000000000001−i−1+i1+i−1−i2i−2i-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000−1−i1+i−1+i1−i
χ502-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002i−2i-22000000000000000000000000000000−1+i1−i−1−i1+i2i−2i-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000001+i−1−i1−i−1+i
χ512-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2i2i2-20000000000000000000000000000001−i−1+i1+i−1−i−2i2i2-2001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000001+i−1−i1−i−1+i
χ522-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2i2i2-2000000000000000000000000000000−1+i1−i−1−i1+i−2i2i2-200−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000−1−i1+i−1+i1−i
χ532-2-222i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i2i−2i−2i2i2i−2i0000002-22i−2i00000000000000000000000000000000000000000000000000002-22i−2i0000
χ542-2-222i−2i−2i2i222-22i−2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i2i−2i−2i2i2i−2i0000002-22i−2i0000000000000000000000000000000000000000000000000000-22−2i2i0000
χ552-2-222i−2i−2i2i22-22−2i2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-22−2i2i2i−2i−2i2i−2i2i000000-22−2i2i000000000000000002-202i−2i000000000000000000002-2002i−2i000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-22−2i2i2i−2i−2i2i−2i2i000000-22−2i2i00000000000000000-220−2i2i00000000000000000000-2200−2i2i000000000000
χ572-2-222i−2i−2i2i2-1-22−2i2i1-1-22-212i−2i−iii−i−2i2i-11-111-1-22−2i2i−iii−ii−i0000001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2302-202i−2i000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23-1100−ii000000000000
χ582-2-222i−2i−2i2i2-1-22−2i2i1-1-22-212i−2i−iii−i−2i2i-11-111-1-22−2i2i−iii−ii−i0000001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230-220−2i2i000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ231-100i−i000000000000
χ592-2-222i−2i−2i2i2-1-22−2i2i1-1-22-212i−2i−iii−i−2i2i-11-111-1-22−2i2i−iii−ii−i0000001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2302-202i−2i000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23-1100−ii000000000000
χ602-2-222i−2i−2i2i2-1-22−2i2i1-1-22-212i−2i−iii−i−2i2i-11-111-1-22−2i2i−iii−ii−i0000001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230-220−2i2i000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ231-100i−i000000000000
χ612-2-22−2i2i2i−2i222-2−2i2i-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-22-22-2−2i2i−2i2i2i−2i−2i2i0000002-2−2i2i00000000000000000000000000000000000000000000000000002-2−2i2i0000
χ622-2-22−2i2i2i−2i222-2−2i2i-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-22-22-2−2i2i−2i2i2i−2i−2i2i0000002-2−2i2i0000000000000000000000000000000000000000000000000000-222i−2i0000
χ632-2-22−2i2i2i−2i22-222i−2i-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-222i−2i−2i2i2i−2i2i−2i000000-222i−2i000000000000000002-20−2i2i000000000000000000002-200−2i2i000000000000
χ642-2-22−2i2i2i−2i22-222i−2i-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-222i−2i−2i2i2i−2i2i−2i000000-222i−2i00000000000000000-2202i−2i00000000000000000000-22002i−2i000000000000
χ652-2-22−2i2i2i−2i2-1-222i−2i1-1-22-21−2i2ii−i−ii2i−2i-11-111-1-222i−2ii−i−ii−ii0000001-1−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1302-20−2i2i000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13-1100i−i000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.