Finite Group Databasebeta

← Group #11781393

Character table — Group #11781393

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212242424242424242424242424144144
order1222334444666666888812121212121212122424242424242424346668812121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242444448888121212121212121224242424242424248888242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ61111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ71111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11
χ81111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1
χ92222222-2-22222222222222-2-2-2-222222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ102222222-2-22222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000
χ11222222-222-22222220000-2-22222-2-2000000002-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022-2-200002222-2-2-2-20000000000000000000000
χ12222222-222-22222220000-2-22222-2-2000000002-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-2220000-2-2-2-222220000000000000000000000
χ13222222-2-2-2-22222220000-2-2-2-2-2-2-2-200000000222220022-2-222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000000000
χ14222222-2-2-2-22222220000-2-2-2-2-2-2-2-200000000222220022-2-222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000000000
χ1522222-12222222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1622222-12222222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000
χ1722222-12222222-1-1-1-2-2-2-2-1-12222-1-111111111-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000
χ1822222-12222222-1-1-1-2-2-2-2-1-12222-1-111111111-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000
χ1922222-12-2-22222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-2-2-211111111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000
χ2022222-12-2-22222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-2-2-211111111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000
χ2122222-12-2-22222-1-1-1-2-2-2-2-1-1-2-2-2-2-1-111111111-1-2-1-1-122-2-211111111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000
χ2222222-12-2-22222-1-1-1-2-2-2-2-1-1-2-2-2-2-1-111111111-1-2-1-1-122-2-211111111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000
χ2322222-1-222-2222-1-1-10000112222113333−3−3−3−3-1-2-1-1-100-2-2-1-111-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−322-2-20000-1-1-1-1111133−3−3−3−33300000000000000
χ2422222-1-222-2222-1-1-10000112222113333−3−3−3−3-1-2-1-1-100-2-2-1-111-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−3-2-22200001111-1-1-1-1−3−33333−3−300000000000000
χ2522222-1-222-2222-1-1-1000011222211−3−3−3−33333-1-2-1-1-100-2-2-1-111-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333322-2-20000-1-1-1-11111−3−33333−3−300000000000000
χ2622222-1-222-2222-1-1-1000011222211−3−3−3−33333-1-2-1-1-100-2-2-1-111-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−33333-2-22200001111-1-1-1-133−3−3−3−33300000000000000
χ2722222-1-2-2-2-2222-1-1-1000011-2-2-2-2113333−3−3−3−3-12-1-1-1002211-1-11111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−3333300002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−i−i−iiiii00000000000000
χ2822222-1-2-2-2-2222-1-1-1000011-2-2-2-2113333−3−3−3−3-12-1-1-1002211-1-11111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−333330000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3iiii−i−i−i−i00000000000000
χ2922222-1-2-2-2-2222-1-1-1000011-2-2-2-211−3−3−3−33333-12-1-1-1002211-1-11111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−300002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−i−i−iiiii00000000000000
χ3022222-1-2-2-2-2222-1-1-1000011-2-2-2-211−3−3−3−33333-12-1-1-1002211-1-11111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−30000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3iiii−i−i−i−i00000000000000
χ312222-122222-1-1-1222222222-1-1-1-12222222222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100
χ322222-122222-1-1-1222222222-1-1-1-12222222222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100
χ332222-122222-1-1-1222-2-2-2-222-1-1-1-122-2-2-2-2-2-2-2-2-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-1111100
χ342222-122222-1-1-1222-2-2-2-222-1-1-1-122-2-2-2-2-2-2-2-2-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-100
χ352222-122-2-22-1-1-122222222211112222222222-1-2-1-1-1-2-211-2-2-2-211111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000033−3−333−3−300
χ362222-122-2-22-1-1-122222222211112222222222-1-2-1-1-1-2-211-2-2-2-211111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000−3−333−3−33300
χ372222-122-2-22-1-1-1222-2-2-2-222111122-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2-2-211111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000033−3−3−3−33300
χ382222-122-2-22-1-1-1222-2-2-2-222111122-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2-2-211111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−3−33333−3−300
χ392-22-222-20022-2-22-2-22i2i−2i−2i-2-20000222i2i−2i−2i2i2i−2i−2i202-2-200000000000000002-222-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000−i2i22−2−i2i2−i2i22−22−200
χ402-22-222-20022-2-22-2-22i2i−2i−2i-2-20000222i2i−2i−2i2i2i−2i−2i202-2-200000000000000002-222-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000i2−i2−22i2−i2i2−i2−22−2200
χ412-22-222-20022-2-22-2-2−2i−2i2i2i-2-2000022−2i−2i2i2i−2i−2i2i2i202-2-200000000000000002-222-2-20000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000−i2i2−22−i2i2−i2i2−22−2200
χ422-22-222-20022-2-22-2-2−2i−2i2i2i-2-2000022−2i−2i2i2i−2i−2i2i2i202-2-200000000000000002-222-2-20000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000i2−i22−2i2−i2i2−i22−22−200
χ432-22-2-12-2002-1112-2-22i2i−2i−2i-2-233−3−3222i2i−2i−2i2i2i−2i−2i-10-111003−3000033−3−333−3−3-11-1-1110000−i−iii−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700
χ442-22-2-12-2002-1112-2-22i2i−2i−2i-2-233−3−3222i2i−2i−2i2i2i−2i−2i-10-111003−3000033−3−333−3−3-11-1-1110000−i−iii−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700
χ452-22-2-12-2002-1112-2-22i2i−2i−2i-2-2−3−333222i2i−2i−2i2i2i−2i−2i-10-11100−330000−3−333−3−333-11-1-1110000−i−iii−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300
χ462-22-2-12-2002-1112-2-22i2i−2i−2i-2-2−3−333222i2i−2i−2i2i2i−2i−2i-10-11100−330000−3−333−3−333-11-1-1110000−i−iii−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300
χ472-22-2-12-2002-1112-2-2−2i−2i2i2i-2-233−3−322−2i−2i2i2i−2i−2i2i2i-10-111003−3000033−3−333−3−3-11-1-1110000ii−i−iii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700
χ482-22-2-12-2002-1112-2-2−2i−2i2i2i-2-233−3−322−2i−2i2i2i−2i−2i2i2i-10-111003−3000033−3−333−3−3-11-1-1110000ii−i−iii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000i2−i22−2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700
χ492-22-2-12-2002-1112-2-2−2i−2i2i2i-2-2−3−33322−2i−2i2i2i−2i−2i2i2i-10-11100−330000−3−333−3−333-11-1-1110000ii−i−iii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000−i2i2−22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300
χ502-22-2-12-2002-1112-2-2−2i−2i2i2i-2-2−3−33322−2i−2i2i2i−2i−2i2i2i-10-11100−330000−3−333−3−333-11-1-1110000ii−i−iii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000i2−i22−2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300
χ512-2-222202-20-22-2-22-2−i2i2−i2i2002-22-200−i2i2−i2i2−i2i2−i2i220-22-2−i2i2002-2002-22-20000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i200000000000000
χ522-2-222202-20-22-2-22-2−i2i2−i2i2002-22-200−i2i2−i2i2−i2i2−i2i220-22-2−i2i2002-2002-22-20000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-22i2−i2i2−i20000-22-22i2−i2i2−i2i2−i2i2−i200000000000000
χ532-2-222202-20-22-2-22-2i2−i2i2−i2002-22-200i2−i2i2−i2i2−i2i2−i220-22-2i2−i2002-2002-22-20000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i200000000000000
χ542-2-222202-20-22-2-22-2i2−i2i2−i2002-22-200i2−i2i2−i2i2−i2i2−i220-22-2i2−i2002-2002-22-20000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-22−i2i2−i2i20000-22-22−i2i2−i2i2−i2i2−i2i200000000000000
χ552-2-22220-220-22-2-22-2−i2i2−i2i200-22-2200−i2i2−i2i2−i2i2−i2i220-22-2i2−i200-2200-22-220000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i002−2−222i−2i2i−2i00002−22−2−22−2200000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.