Finite Group Databasebeta

← Group #11872835

Character table — Group #11872835

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122233444444666666121212122344466612121212121212121212121212126666121212121212121212121212121212128888242424242424242444448812121212121212122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-11111-1-111-1-111
χ81111111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111111111-1-111-1-1
χ9111111-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-11111-1-111-1-11111-1-1-1-1
χ10111111-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-1-11111
χ11111111-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-11-11-1-11111-1-1-1-111-1-1-1-11111
χ12111111-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-1-1-111-1-1111111-1-1-1-1
χ13111111-1-1-1-1111111111111-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-11-1-1-1-11111-1-11111-1-1-1-111
χ14111111-1-1-1-1111111111111-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-11111-1-1
χ15111111-1-1-1-1111111111111-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-1-1-1-1111111-1-1-1-11111-1-1
χ16111111-1-1-1-1111111111111-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-11111-1-1-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222-2-2-2-222-22-222222-2-222-2-2-2-2-2-2-2-22222-22-22-2-222-2-2-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2-222-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-22-22-22222-2-222-2-22200000000000000000000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-222-2-22222-2-222-2-222-2-2-2-2-2-22222-2-22-22-2-2-222-2-2-2-22200000000000000000000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-2-2222-2222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-22-22-2-2222222-2-200000000000000000000000000000000000000
χ2122222-1222222222-1-1-122222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-1000000000000
χ2222222-1222222222-1-1-122222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-20011111111000000000000
χ2322222-1222222222-1-1-12222-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-2111-2-2-2111-1-1-1-11111110000000000002-22-200-1-111-1-111000000000000
χ2422222-1222222222-1-1-12222-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-2111-2-2-2111-1-1-1-1111111000000000000-22-220011-1-111-1-1000000000000
χ2522222-122-2-2-2-2222-1-1-1-2-2-2-22-1-22-2-1-1-122-2-2-1-1111111112-1-1-1-22-2-111-1-11111-1-111000000000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ2622222-122-2-2-2-2222-1-1-1-2-2-2-22-1-22-2-1-1-122-2-2-1-1111111112-1-1-1-22-2-111-1-11111-1-111000000000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ2722222-122-2-2-2-2222-1-1-1-2-2-2-2-2-12-22-1-1-122-2-2-1-111111111-21112-221-1-1-1-111-1-111-1-1000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ2822222-122-2-2-2-2222-1-1-1-2-2-2-2-2-12-22-1-1-122-2-2-1-111111111-21112-221-1-1-1-111-1-111-1-1000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ2922222-1-2-222-2-2222-1-1-1-2-2-2-22-1-2-22-1-1-1-2-22211-1-11111112-1-1-1-2-221-1111-1-11111-1-1000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ3022222-1-2-222-2-2222-1-1-1-2-2-2-22-1-2-22-1-1-1-2-22211-1-11111112-1-1-1-2-221-1111-1-11111-1-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ3122222-1-2-222-2-2222-1-1-1-2-2-2-2-2-122-2-1-1-1-2-22211-1-1111111-211122-2-11-111-1-1-1-1-1-111000000000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ3222222-1-2-222-2-2222-1-1-1-2-2-2-2-2-122-2-1-1-1-2-22211-1-1111111-211122-2-11-111-1-1-1-1-1-111000000000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ3322222-1-2-2-2-222222-1-1-122222-12-2-2-1-1-1-2-2-2-21111-1-1-1-1-1-12-1-1-12-2-211-11111-1-111110000000000002-2-220011-1-1-1-111000000000000
χ3422222-1-2-2-2-222222-1-1-122222-12-2-2-1-1-1-2-2-2-21111-1-1-1-1-1-12-1-1-12-2-211-11111-1-11111000000000000-222-200-1-11111-1-1000000000000
χ3522222-1-2-2-2-222222-1-1-12222-2-1-222-1-1-1-2-2-2-21111-1-1-1-1-1-1-2111-222-1-11111111-1-1-1-100000000000022-2-2001111-1-1-1-1000000000000
χ3622222-1-2-2-2-222222-1-1-12222-2-1-222-1-1-1-2-2-2-21111-1-1-1-1-1-1-2111-222-1-11111111-1-1-1-1000000000000-2-22200-1-1-1-11111000000000000
χ372222-12222222-1-1-1222-1-1-1-12-1222-1-1-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-100000000
χ382222-12222222-1-1-1222-1-1-1-12-1222-1-1-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-200000000111100000000
χ392222-12222222-1-1-1222-1-1-1-1-2-1-2-2-2-1-1-1-1-1-1-1222222-1-1-1-11-211111-2-2-2-1-1-1-11111112222-1-1-1-1-1-1-1-10000-2-200000000111100000000
χ402222-12222222-1-1-1222-1-1-1-1-2-1-2-2-2-1-1-1-1-1-1-1222222-1-1-1-11-211111-2-2-2-1-1-1-1111111-2-2-2-21111111100002200000000-1-1-1-100000000
χ412222-1222-2-2-2-2-1-1-122211112-1-22-2-1-1-1-1-11122-2-2-2-21111-12-1-11-112-2-2-1-11111-1-111000033−3−333−3−3000000000000003−33−300000000
χ422222-1222-2-2-2-2-1-1-122211112-1-22-2-1-1-1-1-11122-2-2-2-21111-12-1-11-112-2-2-1-11111-1-1110000−3−333−3−33300000000000000−33−3300000000
χ432222-1222-2-2-2-2-1-1-12221111-2-12-22-1-1-1-1-11122-2-2-2-211111-211-11-1-222-1-111-1-111-1-1000033−3−333−3−300000000000000−33−3300000000
χ442222-1222-2-2-2-2-1-1-12221111-2-12-22-1-1-1-1-11122-2-2-2-211111-211-11-1-222-1-111-1-111-1-10000−3−333−3−333000000000000003−33−300000000
χ452222-12-2-222-2-2-1-1-122211112-1-2-22-1-1-111-1-1-2-222-2-21111-12-1-111-1-22-211-1-11111-1-1000033−3−3−3−333000000000000003−3−3300000000
χ462222-12-2-222-2-2-1-1-122211112-1-2-22-1-1-111-1-1-2-222-2-21111-12-1-111-1-22-211-1-11111-1-10000−3−33333−3−300000000000000−333−300000000
χ472222-12-2-222-2-2-1-1-12221111-2-122-2-1-1-111-1-1-2-222-2-211111-211-1-112-2211-1-1-1-1-1-111000033−3−3−3−33300000000000000−333−300000000
χ482222-12-2-222-2-2-1-1-12221111-2-122-2-1-1-111-1-1-2-222-2-211111-211-1-112-2211-1-1-1-1-1-1110000−3−33333−3−3000000000000003−3−3300000000
χ492222-12-2-2-2-222-1-1-1222-1-1-1-12-12-2-2-1-1-11111-2-2-2-222-1-1-1-1-12-1-1-111-2-221111-1-1111122-2-2-1-1-1-1111100002-200000000-1-11100000000
χ502222-12-2-2-2-222-1-1-1222-1-1-1-12-12-2-2-1-1-11111-2-2-2-222-1-1-1-1-12-1-1-111-2-221111-1-11111-2-2221111-1-1-1-10000-220000000011-1-100000000
χ512222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-222-1-1-11111-2-2-2-222-1-1-1-11-2111-1-122-2111111-1-1-1-122-2-2-1-1-1-111110000-220000000011-1-100000000
χ522222-12-2-2-2-222-1-1-1222-1-1-1-1-2-1-222-1-1-11111-2-2-2-222-1-1-1-11-2111-1-122-2111111-1-1-1-1-2-2221111-1-1-1-100002-200000000-1-11100000000
χ5322-2-2222i−2i2i−2i2-22-2-2-2-2222-2-2020002-2-22i−2i2i−2i2i−2i2i−2i2-222-2-200000000002i−2i2i−2i0000000000000000000000000000000000002-2002i−2i00
χ5422-2-2222i−2i2i−2i2-22-2-2-2-2222-2-2020002-2-22i−2i2i−2i2i−2i2i−2i2-222-2-200000000002i−2i2i−2i000000000000000000000000000000000000-2200−2i2i00
χ5522-2-2222i−2i−2i2i-222-2-2-2-22-2-222020002-2-22i−2i−2i2i2i−2i−2i2i-22-2-22200000000002i−2i−2i2i000000000000000000000000000000000000002-2002i−2i
χ5622-2-2222i−2i−2i2i-222-2-2-2-22-2-222020002-2-22i−2i−2i2i2i−2i−2i2i-22-2-22200000000002i−2i−2i2i00000000000000000000000000000000000000-2200−2i2i
χ5722-2-222−2i2i2i−2i-222-2-2-2-22-2-222020002-2-2−2i2i2i−2i−2i2i2i−2i-22-2-2220000000000−2i2i2i−2i000000000000000000000000000000000000002-200−2i2i
χ5822-2-222−2i2i2i−2i-222-2-2-2-22-2-222020002-2-2−2i2i2i−2i−2i2i2i−2i-22-2-2220000000000−2i2i2i−2i00000000000000000000000000000000000000-22002i−2i
χ5922-2-222−2i2i−2i2i2-22-2-2-2-2222-2-2020002-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-20000000000−2i2i−2i2i0000000000000000000000000000000000002-200−2i2i00
χ6022-2-222−2i2i−2i2i2-22-2-2-2-2222-2-2020002-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-20000000000−2i2i−2i2i000000000000000000000000000000000000-22002i−2i00
χ614444-2-2444444-2-2-2-2-2-2-2-2-2-241444111-2-2-2-2-2-2-2-2-2-21111-2-211-2-2-2-2-2-2111111111100000000000000000000000000000000000000
χ624444-2-2444444-2-2-2-2-2-2-2-2-2-2-41-4-4-4111-2-2-2-2-2-2-2-2-2-2111122-1-12222221111-1-1-1-1-1-100000000000000000000000000000000000000
χ634444-2-244-4-4-4-4-2-2-2-2-2-2222241-44-4111-2-222-2-22222-1-1-1-1-2-2112-22-22211-1-1-1-111-1-100000000000000000000000000000000000000
χ644444-2-244-4-4-4-4-2-2-2-2-2-22222-414-44111-2-222-2-22222-1-1-1-122-1-1-22-22-2-211-1-111-1-11100000000000000000000000000000000000000
χ654444-2-2-4-444-4-4-2-2-2-2-2-2222241-4-4411122-2-222-2-222-1-1-1-1-2-21122-22-22-1-111-1-1-1-11100000000000000000000000000000000000000
χ664444-2-2-4-444-4-4-2-2-2-2-2-22222-4144-411122-2-222-2-222-1-1-1-122-1-1-2-22-22-2-1-1111111-1-100000000000000000000000000000000000000
χ674444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2414-4-411122222222-2-21111-2-211-22222-2-1-1-1-111-1-1-1-100000000000000000000000000000000000000
χ684444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2-41-44411122222222-2-2111122-1-12-2-2-2-22-1-1-1-1-1-1111100000000000000000000000000000000000000
χ6944-4-44-24i−4i4i−4i4-44-4-422-244-4-40-2000-2224i−4i4i−4i−2i2i−2i2i-22-2-2220000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ7044-4-44-24i−4i−4i4i-444-4-422-2-4-4440-2000-2224i−4i−4i4i−2i2i2i−2i2-222-2-20000000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ7144-4-44-2−4i4i4i−4i-444-4-422-2-4-4440-2000-222−4i4i4i−4i2i−2i−2i2i2-222-2-200000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ7244-4-44-2−4i4i−4i4i4-44-4-422-244-4-40-2000-222−4i4i−4i4i2i−2i2i−2i-22-2-22200000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ7344-4-4-244i−4i4i−4i4-4-222-4-44-2-2220-2000-222−2i2i−2i2i4i−4i4i−4i4-4-2-2220000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ7444-4-4-244i−4i−4i4i-44-222-4-4422-2-20-2000-222−2i2i2i−2i4i−4i−4i4i-4422-2-20000000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ7544-4-4-24−4i4i4i−4i-44-222-4-4422-2-20-2000-2222i−2i−2i2i−4i4i4i−4i-4422-2-200000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-222-4-44-2-2220-2000-2222i−2i2i−2i−4i4i−4i4i4-4-2-22200000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-22222-2-2-222010001-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-1003-3000000i−ii−i3-33i−3i3i−3i00000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-22222-2-2-222010001-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-100-33000000i−ii−i-33−3i3i−3i3i00000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-22222-222-2-2010001-1-1−2i2i2i−2i−2i2i2i−2i2-2-1-111003-3000000i−i−ii-333i−3i−3i3i00000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-22222-222-2-2010001-1-1−2i2i2i−2i−2i2i2i−2i2-2-1-11100-33000000i−i−ii3-3−3i3i3i−3i00000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-22222-222-2-2010001-1-12i−2i−2i2i2i−2i−2i2i2-2-1-111003-3000000−iii−i-33−3i3i3i−3i00000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-22222-222-2-2010001-1-12i−2i−2i2i2i−2i−2i2i2-2-1-11100-33000000−iii−i3-33i−3i−3i3i00000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-22222-2-2-222010001-1-12i−2i2i−2i2i−2i2i−2i-2211-1-1003-3000000−ii−ii3-3−3i3i−3i3i00000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-22222-2-2-222010001-1-12i−2i2i−2i2i−2i2i−2i-2211-1-100-33000000−ii−ii-333i−3i3i−3i00000000000000000000000000000000000000
χ854-44-444000000-44-44-4-4000004000-44-4000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000000000
χ864-44-444000000-44-44-4-4000004000-44-40000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000000000
χ874-44-4-240000002-224-4-423−2323−230-20002-22000000000023−2323−230000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000
χ884-44-4-240000002-224-4-423−2323−230-20002-22000000000023−2323−2300000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000
χ894-44-4-240000002-224-4-4−2323−23230-20002-220000000000−2323−23230000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000
χ904-44-4-240000002-224-4-4−2323−23230-20002-220000000000−2323−232300000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000
χ914-4-4444000000-4-44-44-4000004000-4-440000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000000000
χ924-4-4444000000-4-44-44-4000004000-4-4400000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000000000
χ934-4-44-2400000022-2-44-423−23−23230-200022-2000000000023−23−232300000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000
χ944-4-44-2400000022-2-44-423−23−23230-200022-2000000000023−23−2323000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000
χ954-4-44-2400000022-2-44-4−232323−230-200022-20000000000−232323−2300000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000
χ964-4-44-2400000022-2-44-4−232323−230-200022-20000000000−232323−23000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000
χ978-88-88-4000000-88-8-44400000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000004-44-44443−4343−4302000-22-20000000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000004-44-444−4343−434302000-22-2000000000023−2323−230000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-8-884-4400000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400000044-44-4443−43−434302000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400000044-44-44−434343−4302000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000

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