Finite Group Databasebeta

← Group #11887231

Character table — Group #11887231

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order12223344446666668888121212122366666666666881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422442244244444661212121212124488886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-111
χ71111111111111111-1-1-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-1111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1-11-1-1111-11-1
χ10111111-1-1111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-111111-1-1-1-11-111-1-1-11-11
χ11111111-1-1111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1-1-11111-11-1-111-11-11
χ12111111-1-1111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111-111-1-11-11-1
χ13111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1111-1-111-1-1-1111-1-11-1-11
χ14111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1111-1-111-1-111-1-11-1-1-111-111-1
χ15111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1111-1-1-111-1-111-1111-1-1-111-1
χ16111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-1-1-111-1-111-1-1111-1-1-1111-1-11
χ1722222222-2-222222200002222-22-2-2-2-222-2-2-2-2200-2-222-2-22222-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-222222200002222-22-2-2-2-222-2-2-2-2200-2-222-2-22222-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ19222222-2-2-2-22222220000-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-2000000000000002-200000000
χ20222222-2-2-2-22222220000-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-22200000000000000-2200000000
χ2122222-1222222-1-12-1222222222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000020220200000000000000-1-1-1-1
χ2222222-1222222-1-12-1222222222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-20-2-20-2000000000000001111
χ2322222-1222222-1-12-1-2-2-2-222222-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000202-20-200000000000000-1-111
χ2422222-1222222-1-12-1-2-2-2-222222-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000-20-22020000000000000011-1-1
χ2522222-1-2-22222-1-12-12222-2-2-2-2-2-1-2-211-1-11111-1-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000020-220-200000000000000-11-11
χ2622222-1-2-22222-1-12-12222-2-2-2-2-2-1-2-211-1-11111-1-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000-202-202000000000000001-11-1
χ2722222-1-2-22222-1-12-1-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-1222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000020-2-20200000000000000-111-1
χ2822222-1-2-22222-1-12-1-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-1222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000-20220-2000000000000001-1-11
χ292222-122222-1-122-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000020020-1-1-1-1-1-1-1-10000000000
χ302222-122222-1-122-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000-200-20111111110000000000
χ312222-122222-1-122-12-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-200000-20020-1-11111-1-10000000000
χ322222-122222-1-122-12-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22200000200-2011-1-1-1-1110000000000
χ332222-12-2-222-1-122-1222221111-2-111-2-2-1-11111-1-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111222200000-200-20-1-1-1-111110000000000
χ342222-12-2-222-1-122-1222221111-2-111-2-2-1-11111-1-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-200000200201111-1-1-1-10000000000
χ352222-12-2-222-1-122-12-2-2-2-21111-2-111-2-2-1-11111-122-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-200000200-20-1-111-1-1110000000000
χ362222-12-2-222-1-122-12-2-2-2-21111-2-111-2-2-1-11111-122-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-22200000-2002011-1-111-1-10000000000
χ3722-2-2222i−2i002-22-2-2-222−2−22i2i−2i−2i0200002-20000-2−i2i2002i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002-22i−2i0000000000000000−i2i22−20000
χ3822-2-2222i−2i002-22-2-2-222−2−22i2i−2i−2i0200002-20000-2−i2i2002i−2i002i2i−2i−2i000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-22−2i2i0000000000000000i2−i2−220000
χ3922-2-2222i−2i002-22-2-2-2−2−2222i2i−2i−2i0200002-20000-2i2−i2002i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-22i−2i0000000000000000i2−i2−220000
χ4022-2-2222i−2i002-22-2-2-2−2−2222i2i−2i−2i0200002-20000-2i2−i2002i−2i002i2i−2i−2i0000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-22−2i2i0000000000000000−i2i22−20000
χ4122-2-222−2i2i002-22-2-2-222−2−2−2i−2i2i2i0200002-20000-2i2−i200−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-2−2i2i0000000000000000i2−i22−20000
χ4222-2-222−2i2i002-22-2-2-222−2−2−2i−2i2i2i0200002-20000-2i2−i200−2i2i00−2i−2i2i2i000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-222i−2i0000000000000000−i2i2−220000
χ4322-2-222−2i2i002-22-2-2-2−2−222−2i−2i2i2i0200002-20000-2−i2i200−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200002-2−2i2i0000000000000000−i2i2−220000
χ4422-2-222−2i2i002-22-2-2-2−2−222−2i−2i2i2i0200002-20000-2−i2i200−2i2i00−2i−2i2i2i0000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-222i−2i0000000000000000i2−i22−20000
χ452-2-2222002-2-2-2-2-2222i−2i2i−2i0000020000-2-200002002200220000-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002-22i−2i00000000002-22i−2i00000000000000
χ462-2-2222002-2-2-2-2-2222i−2i2i−2i0000020000-2-200002002200220000-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-22−2i2i0000000000-22−2i2i00000000000000
χ472-2-2222002-2-2-2-2-222−2i2i−2i2i0000020000-2-200002002200220000-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000002-2−2i2i00000000002-2−2i2i00000000000000
χ482-2-2222002-2-2-2-2-222−2i2i−2i2i0000020000-2-200002002200220000-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000-222i−2i0000000000-222i−2i00000000000000
χ492-2-22-12002-211-2-2-122i−2i2i−2i−i3i3−i3i30-1−i3i30011−i3−i3i3i3-100-1200-1-1−i3i3−i3i31-211−ii−ii2i−2i2i−2i−i−iii−i−iii3−33−3000033−3−333−3−32-22i−2i0000000000-11−ii3−3−i3i30000000000
χ502-2-22-12002-211-2-2-122i−2i2i−2i−i3i3−i3i30-1−i3i30011−i3−i3i3i3-100-1200-1-1−i3i3−i3i31-211−ii−ii2i−2i2i−2i−i−iii−i−iii3−33−3000033−3−333−3−3-22−2i2i00000000001-1i−i−33i3−i30000000000
χ512-2-22-12002-211-2-2-122i−2i2i−2ii3−i3i3−i30-1i3−i30011i3i3−i3−i3-100-1200-1-1i3−i3i3−i31-211−ii−ii2i−2i2i−2i−i−iii−i−iii−33−330000−3−333−3−3332-22i−2i0000000000-11−ii−33i3−i30000000000
χ522-2-22-12002-211-2-2-122i−2i2i−2ii3−i3i3−i30-1i3−i30011i3i3−i3−i3-100-1200-1-1i3−i3i3−i31-211−ii−ii2i−2i2i−2i−i−iii−i−iii−33−330000−3−333−3−333-22−2i2i00000000001-1i−i3−3−i3i30000000000
χ532-2-22-12002-211-2-2-12−2i2i−2i2i−i3i3−i3i30-1−i3i30011−i3−i3i3i3-100-1200-1-1−i3i3−i3i31-211i−ii−i−2i2i−2i2iii−i−iii−i−i−33−330000−3−333−3−3332-2−2i2i0000000000-11i−i−33−i3i30000000000
χ542-2-22-12002-211-2-2-12−2i2i−2i2i−i3i3−i3i30-1−i3i30011−i3−i3i3i3-100-1200-1-1−i3i3−i3i31-211i−ii−i−2i2i−2i2iii−i−iii−i−i−33−330000−3−333−3−333-222i−2i00000000001-1−ii3−3i3−i30000000000
χ552-2-22-12002-211-2-2-12−2i2i−2i2ii3−i3i3−i30-1i3−i30011i3i3−i3−i3-100-1200-1-1i3−i3i3−i31-211i−ii−i−2i2i−2i2iii−i−iii−i−i3−33−3000033−3−333−3−32-2−2i2i0000000000-11i−i3−3i3−i30000000000
χ562-2-22-12002-211-2-2-12−2i2i−2i2ii3−i3i3−i30-1i3−i30011i3i3−i3−i3-100-1200-1-1i3−i3i3−i31-211i−ii−i−2i2i−2i2iii−i−iii−i−i3−33−3000033−3−333−3−3-222i−2i00000000001-1−ii−33−i3i30000000000
χ5744444-244-4-444-2-24-200004444-4-2-4-422-2-22222-200-42-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-444-2-24-20000-4-4-4-44-244-2-2-2-2-2-2-2-2-200-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ594444-2444-4-4-2-244-240000-2-2-2-2-4-222-4-4-2-22222-2002-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ604444-24-4-4-4-4-2-244-24000022224-2-2-244-2-2-2-2-2-2-2002-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-24444-2-2-2-241-2-2-2-2111111144-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-241-2-2-2-21111111-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-20000-2-2-2-2-41222211-1-1-1-110022-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-20000-2-2-2-2-41222211-1-1-1-110022-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-244442222-41222211-1-1-1-11-4-4-2-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-2-4-4-4-42222-41222211-1-1-1-1144-2-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-20000222241-2-2-2-21111111002222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-20000222241-2-2-2-21111111002222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
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χ1164-4-44-2-200-442222-2-200002i3−2i32i3−2i301−2i32i300-1-1i3i3−i3−i31002200-1-1−i3i3−i3i3-2-211000000003-3-333-3-330000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i300000000000000000000000000000000
χ1174-4-44-2-200-442222-2-200002i3−2i32i3−2i301−2i32i300-1-1i3i3−i3−i31002200-1-1−i3i3−i3i3-2-21100000000-333-3-333-300002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.