Finite Group Databasebeta

← Group #11776294

Character table — Group #11776294

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order12223344446666661212121234666888812121212121212121212121224242424242424242244441212121212121212121212121224242424242424242424242446688881212242424242424242444882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-111-1-1
χ9111111-1-1-1-1111111-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i1-1i−iii−i−i1-11-1i−i
χ10111111-1-1-1-1111111-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-111ii−i−i-1-1iiii−i−i−i−i-11−ii−i−iii-11-11−ii
χ11111111-1-1-1-1111111-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii1-1i−iii−i−i1-1-11−ii
χ12111111-1-1-1-1111111-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1-1-1−i−iii11−i−i−i−iiiii-11−ii−i−iii-111-1i−i
χ13111111-1-1-1-1111111-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii1-1−ii−i−iii1-11-1−ii
χ14111111-1-1-1-1111111-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-111−i−iii-1-1−i−i−i−iiiii-11i−iii−i−i-11-11i−i
χ15111111-1-1-1-1111111-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i1-1−ii−i−iii1-1-11i−i
χ16111111-1-1-1-1111111-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1-1-1ii−i−i11iiii−i−i−i−i-11i−iii−i−i-111-1−ii
χ172222222-2-22222222-2-2-2-22-22220000-2-2-2222-2-2-2-2-220000000022-2-222-2-2-2-22222-2-2-222000000000000-2220000-2-20000000000000000000000
χ182222222-2-22222222-2-2-2-22-22220000-2-2-2222-2-2-2-2-2200000000-2-222-2-22222-2-2-2-2-2-2-2220000000000002-2-20000220000000000000000000000
χ19222222-222-222222222222-222200002-2-2-2-2-222222-20000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002220000220000000000000000000000
χ20222222-222-222222222222-222200002-2-2-2-2-222222-200000000-2-2222222222222-2-2-2-2-2000000000000-2-2-20000-2-20000000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-2111111111100000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-1211111111222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-2-1-11111111100000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-1211111111-2-2-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-211222211-1-1-1-1-1-1-1-100000000000000
χ2522222-12-2-2222-1-1-121111-1-2-1-1-10000-211-1-1211-211233−3−333−3−322-2-2221111-1-1-1-1-211-1-10033−3−30033−3−3-2-1-100001133−3−333−3−300000000000000
χ2622222-12-2-2222-1-1-121111-1-2-1-1-10000-211-1-1211-211233−3−333−3−3-2-222-2-2-1-1-1-11111-211-1-10033−3−30033−3−32110000-1-1−3−333−3−33300000000000000
χ2722222-12-2-2222-1-1-121111-1-2-1-1-10000-211-1-1211-2112−3−333−3−33322-2-2221111-1-1-1-1-211-1-100−3−33300−3−333-2-1-1000011−3−333−3−33300000000000000
χ2822222-12-2-2222-1-1-121111-1-2-1-1-10000-211-1-1211-2112−3−333−3−333-2-222-2-2-1-1-1-11111-211-1-100−3−33300−3−3332110000-1-133−3−333−3−300000000000000
χ2922222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1000021111-2-1-12-1-1-2−i3−i3i3i3i3i3−i3−i322-2-2-2-211111111-2111100−i3−i3i3i300i3i3−i3−i32-1-10000-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ3022222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1000021111-2-1-12-1-1-2−i3−i3i3i3i3i3−i3−i3-2-22222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300i3i3−i3−i3-211000011i3i3−i3−i3−i3−i3i3i300000000000000
χ3122222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1000021111-2-1-12-1-1-2i3i3−i3−i3−i3−i3i3i322-2-2-2-211111111-2111100i3i3−i3−i300−i3−i3i3i32-1-10000-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ3222222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-1000021111-2-1-12-1-1-2i3i3−i3−i3−i3−i3i3i3-2-22222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300−i3−i3i3i3-211000011−i3−i3i3i3i3i3−i3−i300000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii2222-2-2-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii-2-1-12i2i−2i−2i11−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii-2-2-2-2221111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii211−2i−2i2i2i-1-1iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i2222-2-2-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i-2-1-1−2i−2i2i2i11iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i-2-2-2-2221111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i2112i2i−2i−2i-1-1−i−i−i−iiiii00000000000000
χ372222-122222-1-1222-12222-12-1-1-12222-12222-1-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1-1222-12222-12-1-1-12222-12222-1-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1-1222-12222-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-11111111111110000000000000000022-2-21111-1-10000
χ402222-122222-1-1222-12222-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000-1-1-1-1-111111111111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii000000000000000002-22i−2i−i−iii-110000
χ422222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i00000000000000-1-1-111−i−i−i−i−i−iiiiiii00000000000000000-22−2i2iii−i−i1-10000
χ432222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i000000000000000002-2−2i2iii−i−i-110000
χ442222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i00000000000000-1-1-111iiiiii−i−i−i−i−i−i00000000000000000-222i−2i−i−iii1-10000
χ452-2-2222200-2-2-22-2-220000202-2-2−i2i2−i2i20002-2200000-2−i2i2−i2i2−i2i2−i2i22-2002-2000022-2-20002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i202-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ462-2-2222200-2-2-22-2-220000202-2-2−i2i2−i2i20002-2200000-2−i2i2−i2i2−i2i2−i2i2-2200-220000-2-2220002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20-22i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ472-2-2222200-2-2-22-2-220000202-2-2i2−i2i2−i20002-2200000-2i2−i2i2−i2i2−i2i2−i22-2002-2000022-2-20002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i202-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i200000000000000
χ482-2-2222200-2-2-22-2-220000202-2-2i2−i2i2−i20002-2200000-2i2−i2i2−i2i2−i2i2−i2-2200-220000-2-2220002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20-22−i2i2−i2i200−i2i2−i2i2−i2i2−i2i200000000000000
χ492-2-2222-2002-2-22-2-220000202-2-22−2−22000-22-20000022−22−2−22−222-200-220000-2-222000-222−22−22−2−22−22−2202-22−2−22002−22−2−22−2200000000000000
χ502-2-2222-2002-2-22-2-220000202-2-22−2−22000-22-20000022−22−2−22−22-22002-2000022-2-2000-222−22−22−2−22−22−220-22−222−200−22−222−22−200000000000000
χ512-2-2222-2002-2-22-2-220000202-2-2−222−2000-22-2000002−22−222−22−22-200-220000-2-222000-22−22−22−222−22−22−202-2−222−200−22−222−22−200000000000000
χ522-2-2222-2002-2-22-2-220000202-2-2−222−2000-22-2000002−22−222−22−2-22002-2000022-2-2000-22−22−22−222−22−22−20-222−2−22002−22−2−22−2200000000000000
χ532-2-222-1200-2-2-2-11123−33−3-10-111−i2i2−i2i203−3-1123−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-2002-233−3−3-1-11103−3-11−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-2-222-1200-2-2-2-11123−33−3-10-111−i2i2−i2i203−3-1123−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-2200-22−3−33311-1-103−3-11−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1i2−i2i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-2-222-1200-2-2-2-11123−33−3-10-111i2−i2i2−i203−3-1123−303−3-2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2002-233−3−3-1-11103−3-11i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-2-222-1200-2-2-2-11123−33−3-10-111i2−i2i2−i203−3-1123−303−3-2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-2200-22−3−33311-1-103−3-11i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1−i2i2−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-2-222-1200-2-2-2-1112−33−33-10-111−i2i2−i2i20−33-112−330−33-2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-2002-2−3−333-1-1110−33-11−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ582-2-222-1200-2-2-2-1112−33−33-10-111−i2i2−i2i20−33-112−330−33-2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-2200-2233−3−311-1-10−33-11−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1i2−i2i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ592-2-222-1200-2-2-2-1112−33−33-10-111i2−i2i2−i20−33-112−330−33-2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-2002-2−3−333-1-1110−33-11i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ602-2-222-1200-2-2-2-1112−33−33-10-111i2−i2i2−i20−33-112−330−33-2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-2200-2233−3−311-1-10−33-11i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−i2i2−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.