Finite Group Databasebeta

← Group #11777738

Character table — Group #11777738

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12224444334444666666121212121212121236661212121212121212121212128888246666666612121212121212121212121288888888882424242424242424242424242424242488242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1-111111111-1-1-1-111-1-1-1-1-1-1i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−iii−i−iii−i−i11-1-111-1-1
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1-111111111-1-1-1-111-1-1-1-1-1-1i−i−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiiii−i−i−iiiii−i−i-1-111-1-111
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i-11-1-1-1-1-1-1-1-1111111-1-11111i−iii−i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii−iiii−i−i−i−iii11-1-1-1-111
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i-11-1-1-1-1-1-1-1-1111111-1-11111i−i−i−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i−ii−i−iii−i−iii-1-11111-1-1
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1-111111111-1-1-1-111-1-1-1-1-1-1−iiii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−i−iiii−i−i−i−iii-1-111-1-111
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1-111111111-1-1-1-111-1-1-1-1-1-1−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−i−iii−i−iii11-1-111-1-1
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii-11-1-1-1-1-1-1-1-1111111-1-11111−iiii−i−i−i−iii−i−iii−i−iii−i−i−i−iiiiii−iii−i−iii−i−i-1-11111-1-1
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii-11-1-1-1-1-1-1-1-1111111-1-11111−ii−i−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−ii−i−i−iiiii−i−i11-1-1-1-111
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200000000000000-2-2-2-20000-2-2000000002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000-2-2-2-200002200000000-2-2-2-2222200000000000000000000000000
χ19222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-2-2111111-2-211-1-1-1-111112200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ22222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2111111-2-211-1-1-1-11111-2-2000000001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i3-2-200000000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i3-2-200000000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i322000000001111-1-1-1-100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-222-1-12-122-1-122-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i322000000001111-1-1-1-100000000000000−i3i3−i3i300000000
χ2722222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-11111002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-1111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222i2i−2i−2i00000000000000-2-2220000−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222−2i−2i2i2i00000000000000-2-22200002i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1-2-211-1-11111222i2i−2i−2i0000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i3−2i2i00000000−i−iiiii−i−i000000000000003−3−3300000000
χ342222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1-2-211-1-11111222i2i−2i−2i0000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i3−2i2i00000000−i−iiiii−i−i00000000000000−333−300000000
χ352222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1-2-211-1-1111122−2i−2i2i2i0000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i32i−2i00000000ii−i−i−i−iii00000000000000−333−300000000
χ362222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-1-2-211-1-1111122−2i−2i2i2i0000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i32i−2i00000000ii−i−i−i−iii000000000000003−3−3300000000
χ372222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-122-1-1111111-2-22i2i−2i−2i2-222-1-1-1-1-1-1-2-211-1-11111112i−2i00000000−i−iii−i−iii000000002i−2i0000−i−iii00000000
χ382222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-122-1-1111111-2-22i2i−2i−2i-22-2-211111122-1-1-1-111-1-1-1-12i−2i00000000−i−iii−i−iii00000000−2i2i0000ii−i−i00000000
χ392222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-122-1-1111111-2-2−2i−2i2i2i2-222-1-1-1-1-1-1-2-211-1-1111111−2i2i00000000ii−i−iii−i−i00000000−2i2i0000ii−i−i00000000
χ402222-2-2-2-22-1-2-22222-1-12-1-2-211-2-211-1-1-1-122-1-1111111-2-2−2i−2i2i2i-22-2-211111122-1-1-1-111-1-1-1-1−2i2i00000000ii−i−iii−i−i000000002i−2i0000−i−iii00000000
χ412222-2-2-2-2-12-2-222-1-122-1211-2-211-2-2-1-1-1-1-1-122-2-211111100002-2-1-122-1-1-1-111-2-2-1-1111111002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii00−i−iii000000000000
χ422222-2-2-2-2-12-2-222-1-122-1211-2-211-2-2-1-1-1-1-1-122-2-211111100002-2-1-122-1-1-1-111-2-2-1-111111100−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−i00ii−i−i000000000000
χ432222-2-2-2-2-12-2-222-1-122-1211-2-211-2-2-1-1-1-1-1-122-2-21111110000-2211-2-21111-1-122-1-111-1-1-1-1002i2i−2i−2i−2i−2i2i2i00000000iiii−i−i−i−i00−i−iii000000000000
χ442222-2-2-2-2-12-2-222-1-122-1211-2-211-2-2-1-1-1-1-1-122-2-21111110000-2211-2-21111-1-122-1-111-1-1-1-100−2i−2i2i2i2i2i−2i−2i00000000−i−i−i−iiiii00ii−i−i000000000000
χ452-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000001+i−1−i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000002−2−i2i2
χ462-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−1−i1+i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000−22i2−i2
χ472-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000001+i−1−i1−i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000−22i2−i2
χ482-22-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−1−i1+i−1+i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000002−2−i2i2
χ492-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000001−i−1+i1+i−1−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000002−2i2−i2
χ502-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−1+i1−i−1−i1+i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000−22−i2i2
χ512-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000001−i−1+i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000−22−i2i2
χ522-22-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−1+i1−i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000002−2i2−i2
χ532-2-222i−2i−2i2i222i−2i2-2-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i00000000000000000000000000000000000000002i−2i2-20000
χ542-2-222i−2i−2i2i222i−2i2-2-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i0000000000000000000000000000000000000000−2i2i-220000
χ552-2-222i−2i−2i2i22−2i2i-22-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000-22−2i2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ562-2-222i−2i−2i2i22−2i2i-22-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000-22−2i2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ572-2-222i−2i−2i2i-12−2i2i-221-1-221-2−ii2i−2ii−i−2i2i-11-111-1-22−2i2i−ii−iii−i000000−i3i300−i3i3−i3i33−3001-1i−i3−33−300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000000000
χ582-2-222i−2i−2i2i-12−2i2i-221-1-221-2−ii2i−2ii−i−2i2i-11-111-1-22−2i2i−ii−iii−i000000−i3i300−i3i3−i3i33−3001-1i−i3−33−3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000000000
χ592-2-222i−2i−2i2i-12−2i2i-221-1-221-2−ii2i−2ii−i−2i2i-11-111-1-22−2i2i−ii−iii−i000000i3−i300i3−i3i3−i3−33001-1i−i−33−3300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000000000
χ602-2-222i−2i−2i2i-12−2i2i-221-1-221-2−ii2i−2ii−i−2i2i-11-111-1-22−2i2i−ii−iii−i000000i3−i300i3−i3i3−i3−33001-1i−i−33−33002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000000000
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χ622-2-22−2i2i2i−2i222i−2i-22-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-222i−2i−2i2i−2i2i2i−2i000000000000000000-222i−2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.