Finite Group Databasebeta

← Group #11870824

Character table — Group #11870824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order122222334466666666664444344444666666666121212121212121212121212121244441212121212121212121212121212121212121212121212121244444888812121212121212121212121244242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ91111-1-111111-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-11-11
χ101111-1-111111-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-1-1111-11-1
χ111111-1-111111-1-1-1-11111111111-1-111-1-1-11-1-1-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-11111-1111-1-111-1-11-11-1
χ121111-1-111111-1-1-1-11111111111-1-111-1-1-11-1-1-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-111-11-11
χ131111-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-111-1-111-1-11111-1-1-1-11-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1-111-111-1
χ141111-1-111111-1-1-1-111111-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11111-111-1-111-1-11111-1-1-1-11-1-111-1-111-1-111-1-1-1-11111-11-1-11111-1-11-1-11
χ151111-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-11-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111-1-11
χ161111-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-11-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-1111111-1-1-1-11-1-1-11111-1-1-111-1
χ1722222222-2-22222222222222220000-222222222200000000-2-2-2-2-2-222-2-222222222-20000-2-2-2-200000000-200000000-2-2-2-20000000000000000000000
χ1822222222-2-22222222222-2-2-2-220000-222222222200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-20000-2-2-2-20000000020000000022220000000000000000000000
χ192222222-1222-1-1-1-1-122-1-12222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ202222222-1222-1-1-1-1-122-1-12222-1-2-2-2-2222-1-1-1-1-1-1-111111111-1-1-1-1222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1111111112-2-2-2-20000-1-1-1-11111111100000000000000
χ212222222-1222-1-1-1-1-122-1-1-2-2-2-2-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111111122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2000011111111111100000000000000
χ222222222-1222-1-1-1-1-122-1-1-2-2-2-2-1-2-2-2-2222-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-2111111112-2-2-2-2-1-1-1-111111111-2222200001111-1-1-1-1-1-1-1-100000000000000
χ232222222-1-2-22-1-1-1-1-122-1-12222-10000-222-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i31111-2-222-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000
χ242222222-1-2-22-1-1-1-1-122-1-12222-10000-222-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i31111-2-222-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000
χ252222222-1-2-22-1-1-1-1-122-1-1-2-2-2-2-10000-222-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i31111-2-2-2-22211111111-200001111−i3−i3i3i3−i3−i3i3i3200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ262222222-1-2-22-1-1-1-1-122-1-1-2-2-2-2-10000-222-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i31111-2-2-2-22211111111-200001111i3i3−i3−i3i3i3−i3−i3200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ27222222-1222-122222-1-1220000-122222-1-1-1-1-1-1-1-1-1222222222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000222200000000000022-1-1-1-10000-1-100
χ28222222-1222-122222-1-1220000-122222-1-1-1-1-1-1-1-1-1222222222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2000000000000-2-2111100001100
χ29222222-1222-122222-1-1220000-1-2-2-2-22-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1000000000000-11111-1-1-1-111111111000002222000000000000-2-2-1-1-1-100001100
χ30222222-1222-122222-1-1220000-1-2-2-2-22-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1000000000000-11111-1-1-1-11111111100000-2-2-2-20000000000002211110000-1-100
χ312222-2-222-2-22-2-2-2-2222222222200002-2-22-2-2-2-22200000000-2-222-2-2-2-2-2-22222-2-2-2-220000-2-22200000000200000000-2-2220000000000000000000000
χ322222-2-222-2-22-2-2-2-222222-2-2-2-2200002-2-22-2-2-2-22200000000-2-222-2-22222-2-2-2-2222220000-2-22200000000-20000000022-2-20000000000000000000000
χ332222-2-22-12221111-122-1-12222-122-2-2-2-2-2-11111-1-1-1-1-1-11111-1-11122-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111-222-2-20000-1-111-1-1-1-1111100000000000000
χ342222-2-22-12221111-122-1-12222-1-2-222-2-2-2-11111-1-11111-1-1-1-1-1-11122-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1-2-2-2220000-1-1111111-1-1-1-100000000000000
χ352222-2-22-12221111-122-1-1-2-2-2-2-122-2-2-2-2-2-11111-1-1-1-1-1-11111-1-1112222-2-21111-1-1-1-1-222-2-2-1-111-1-1-1-111112-2-222000011-1-11111-1-1-1-100000000000000
χ362222-2-22-12221111-122-1-1-2-2-2-2-1-2-222-2-2-2-11111-1-11111-1-1-1-1-1-1112222-2-21111-1-1-1-1-2-2-222-1-1111111-1-1-1-1222-2-2000011-1-1-1-1-1-1111100000000000000
χ372222-2-22-1-2-221111-122-1-12222-100002-2-2-11111-1-1−i3−i3i3i3i3i3−i3−i311-1-1-2-2-2-2-2-2-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i320000000011-1-1−i3−i3i3i3i3i3−i3−i300000000000000
χ382222-2-22-1-2-221111-122-1-12222-100002-2-2-11111-1-1i3i3−i3−i3−i3−i3i3i311-1-1-2-2-2-2-2-2-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i320000000011-1-1i3i3−i3−i3−i3−i3i3i300000000000000
χ392222-2-22-1-2-221111-122-1-1-2-2-2-2-100002-2-2-11111-1-1−i3−i3i3i3i3i3−i3−i311-1-1-2-222221111-1-1-1-12000011-1-1−i3−i3i3i3i3i3−i3−i3-200000000-1-111i3i3−i3−i3−i3−i3i3i300000000000000
χ402222-2-22-1-2-221111-122-1-1-2-2-2-2-100002-2-2-11111-1-1i3i3−i3−i3−i3−i3i3i311-1-1-2-222221111-1-1-1-12000011-1-1i3i3−i3−i3−i3−i3i3i3-200000000-1-111−i3−i3i3i3i3i3−i3−i300000000000000
χ412222-2-2-1222-1-2-2-2-22-1-1220000-122-2-2-211-11111-1-12222-2-2-2-222-2-2-1-10000000000001-1-111-1-111-1-1-1-111110000022-2-20000000000002-2-1-11100001-100
χ422222-2-2-1222-1-2-2-2-22-1-1220000-122-2-2-211-11111-1-12222-2-2-2-222-2-2-1-10000000000001-1-111-1-111-1-1-1-1111100000-2-222000000000000-2211-1-10000-1100
χ432222-2-2-1222-1-2-2-2-22-1-1220000-1-2-222-211-11111-1-1-2-2-2-2222222-2-2-1-1000000000000111-1-1-1-1111111-1-1-1-10000022-2-2000000000000-22-1-1110000-1100
χ442222-2-2-1222-1-2-2-2-22-1-1220000-1-2-222-211-11111-1-1-2-2-2-2222222-2-2-1-1000000000000111-1-1-1-1111111-1-1-1-100000-2-2220000000000002-211-1-100001-100
χ4522-2-22-22200222-2-22-2-2-2-222-2-22000002-2222-2-2-2-2000000000000002-20022-2-222-2-200000000000000000000002−22−2000000000000002−22−22−22−20000
χ4622-2-22-22200222-2-22-2-2-2-222-2-22000002-2222-2-2-2-2000000000000002-20022-2-222-2-20000000000000000000000−22−2200000000000000−22−22−22−220000
χ4722-2-22-22200222-2-22-2-2-2-2-2-2222000002-2222-2-2-2-200000000000000-2200-2-222-2-22200000000000000000000002−22−2000000000000002−22−2−22−220000
χ4822-2-22-22200222-2-22-2-2-2-2-2-2222000002-2222-2-2-2-200000000000000-2200-2-222-2-2220000000000000000000000−22−2200000000000000−22−222−22−20000
χ4922-2-2-2222002-2-2222-2-2-2-222-2-2200000-222-2-222-2-200000000000000-220022-2-2-2-22200000000000000000000002−2−22000000000000002−2−222−2−220000
χ5022-2-2-2222002-2-2222-2-2-2-222-2-2200000-222-2-222-2-200000000000000-220022-2-2-2-2220000000000000000000000−222−200000000000000−222−2−222−20000
χ5122-2-2-2222002-2-2222-2-2-2-2-2-222200000-222-2-222-2-2000000000000002-200-2-22222-2-200000000000000000000002−2−22000000000000002−2−22−222−20000
χ5222-2-2-2222002-2-2222-2-2-2-2-2-222200000-222-2-222-2-2000000000000002-200-2-22222-2-20000000000000000000000−222−200000000000000−222−22−2−220000
χ532-2-2200222-2-20000-22-2-222i−2i2i−2i2002i−2i000-200002-200002i−2i2i−2i2-2002-2002i−2i2i−2i2i−2i00000002i−2i2-20000002i−2i2i−2i0002-200002i−2i0000002-22-200000000000000
χ542-2-2200222-2-20000-22-2-222i−2i2i−2i200−2i2i000-200002-20000−2i2i−2i2i2-2002-2002i−2i2i−2i2i−2i0000000−2i2i2-2000000−2i2i−2i2i000-2200002i−2i000000-22-2200000000000000
χ552-2-2200222-2-20000-22-2-22−2i2i−2i2i2002i−2i000-200002-200002i−2i2i−2i2-2002-200−2i2i−2i2i−2i2i00000002i−2i2-20000002i−2i2i−2i000-220000−2i2i000000-22-2200000000000000
χ562-2-2200222-2-20000-22-2-22−2i2i−2i2i200−2i2i000-200002-20000−2i2i−2i2i2-2002-200−2i2i−2i2i−2i2i0000000−2i2i2-2000000−2i2i−2i2i0002-20000−2i2i0000002-22-200000000000000
χ572-2-220022-22-20000-22-2-222i−2i2i−2i22i−2i00000-200002-22i−2i2i−2i0000-2200-2200−2i2i2i−2i2i−2i000002i−2i00-22002i−2i2i−2i000002-2000000−2i2i002-22-2000000000000000000
χ582-2-220022-22-20000-22-2-222i−2i2i−2i2−2i2i00000-200002-2−2i2i−2i2i0000-2200-2200−2i2i2i−2i2i−2i00000−2i2i00-2200−2i2i−2i2i00000-22000000−2i2i00-22-22000000000000000000
χ592-2-220022-22-20000-22-2-22−2i2i−2i2i22i−2i00000-200002-22i−2i2i−2i0000-2200-22002i−2i−2i2i−2i2i000002i−2i00-22002i−2i2i−2i00000-220000002i−2i00-22-22000000000000000000
χ602-2-220022-22-20000-22-2-22−2i2i−2i2i2−2i2i00000-200002-2−2i2i−2i2i0000-2200-22002i−2i−2i2i−2i2i00000−2i2i00-2200−2i2i−2i2i000002-20000002i−2i002-22-2000000000000000000
χ612-2-22002-12-2-2−i3i3−i3i312-21-12i−2i2i−2i-1002i−2i0001−i3i3−i3i3-113−3−33−ii−ii-11−i3i32-2002i−2i−ii−ii3−33−30002i−2i-11−i3i33−3−33−ii−ii0002-20000−ii3−3−i3i3i3−i3-11-1100000000000000
χ622-2-22002-12-2-2−i3i3−i3i312-21-12i−2i2i−2i-100−2i2i0001−i3i3−i3i3-11−333−3i−ii−i-11−i3i32-2002i−2i−ii−ii3−33−3000−2i2i-11−i3i3−333−3i−ii−i000-220000−ii3−3i3−i3−i3i31-11-100000000000000
χ632-2-22002-12-2-2−i3i3−i3i312-21-1−2i2i−2i2i-1002i−2i0001−i3i3−i3i3-113−3−33−ii−ii-11−i3i32-200−2i2ii−ii−i−33−330002i−2i-11−i3i33−3−33−ii−ii000-220000i−i−33i3−i3−i3i31-11-100000000000000
χ642-2-22002-12-2-2−i3i3−i3i312-21-1−2i2i−2i2i-100−2i2i0001−i3i3−i3i3-11−333−3i−ii−i-11−i3i32-200−2i2ii−ii−i−33−33000−2i2i-11−i3i3−333−3i−ii−i0002-20000i−i−33−i3i3i3−i3-11-1100000000000000
χ652-2-22002-12-2-2i3−i3i3−i312-21-12i−2i2i−2i-1002i−2i0001i3−i3i3−i3-11−333−3−ii−ii-11i3−i32-2002i−2i−ii−ii−33−330002i−2i-11i3−i3−333−3−ii−ii0002-20000−ii−33i3−i3−i3i3-11-1100000000000000
χ662-2-22002-12-2-2i3−i3i3−i312-21-12i−2i2i−2i-100−2i2i0001i3−i3i3−i3-113−3−33i−ii−i-11i3−i32-2002i−2i−ii−ii−33−33000−2i2i-11i3−i33−3−33i−ii−i000-220000−ii−33−i3i3i3−i31-11-100000000000000
χ672-2-22002-12-2-2i3−i3i3−i312-21-1−2i2i−2i2i-1002i−2i0001i3−i3i3−i3-11−333−3−ii−ii-11i3−i32-200−2i2ii−ii−i3−33−30002i−2i-11i3−i3−333−3−ii−ii000-220000i−i3−3−i3i3i3−i31-11-100000000000000
χ682-2-22002-12-2-2i3−i3i3−i312-21-1−2i2i−2i2i-100−2i2i0001i3−i3i3−i3-113−3−33i−ii−i-11i3−i32-200−2i2ii−ii−i3−33−3000−2i2i-11i3−i33−3−33i−ii−i0002-20000i−i3−3i3−i3−i3i3-11-1100000000000000
χ692-2-22002-1-22-2−i3i3−i3i312-21-12i−2i2i−2i-12i−2i000001−i3i3−i3i3-11−ii−ii3−3−331-1i3−i3-2200−2i2i−ii−ii3−33−302i−2i001-1i3−i3−ii−ii3−3−3302-2000000i−i−33-11-11−i3i3i3−i300000000000000
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χ1178-88-800-4-40044i3−4i3−4i34i344-4-44000020000000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).