Finite Group Databasebeta

← Group #11870397

Character table — Group #11870397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666634466688121212122121212121212242424242424242422444444121212126666121222444466881212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-11-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-1-111-11-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-111-1-1-1-11-1-111-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111-111-1-11111-1-1-1-1-1-11-11-1-11-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-11-1-1111111-1-1-1-1-1-1-11-111-111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-200000000220000-2-2-2-2-2-2000000-2-222002200000000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-20000-22-2-22200000022-2-2002-200000000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-2200002-222-2-200000022-2-200-2200000000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-20000222222000000-2-22200-2-200000000000000000
χ2122222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10200220200-1-12-1-1-1-1-10000020-10200-1-100-1-100000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-200-2-20-200112-1-1-1-1-100000-2010-2001100110000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110200220200-1-1-2111-1-100000-20-10-200-1-100110000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-200-2-20-20011-2111-1-10000020102001100-1-100000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10200-2-20200-1-1-21111100000-20-102001100-1-10000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-200220-20011-211111000002010-200-1-1001100000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110200-2-20200-1-12-1-1-1110000020-10-20011001100000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-200220-200112-1-1-11100000-2010200-1-100-1-10000010
χ292222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-120220020-1-100-12-1-1-1-1000020-1020-1-100-1-1000000-100
χ302222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-2-200-201100-12-1-1-1-10000-2010-20110011000000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-2111120220020-1-1001-211-1-10000-20-10-20-1-10011000000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2-200-2011001-211-1-100002010201100-1-1000000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-120-2-20020-1-1001-211110000-20-10201100-1-1000000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-202200-2011001-2111100002010-20-1-10011000000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-2111120-2-20020-1-100-12-1-111000020-10-20110011000000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-202200-201100-12-1-1110000-201020-1-100-1-1000000100
χ372-2-22222-222-2-2-2-222i−2i-22-200-2-22202i−2i2i−2i2-20000000000000000000000002i−2i2-22-2000000000000002i−2i00000
χ382-2-22222-222-2-2-2-222i−2i-22-200-2-22202i−2i2i−2i2-20000000000000000000000002i−2i-22-2200000000000000−2i2i00000
χ392-2-22222-222-2-2-2-22−2i2i-22-200-2-2220−2i2i−2i2i2-2000000000000000000000000−2i2i2-22-200000000000000−2i2i00000
χ402-2-22222-222-2-2-2-22−2i2i-22-200-2-2220−2i2i−2i2i2-2000000000000000000000000−2i2i-22-22000000000000002i−2i00000
χ412-2-2222-2222-2-2-2-2200-22-20022-2-200000-2200000000002i−2i2i−2i0000000000002-2-220000002i−2i2i−2i00000000000
χ422-2-2222-2222-2-2-2-2200-22-20022-2-200000-2200000000002i−2i−2i2i000000000000-222-20000002i−2i−2i2i00000000000
χ432-2-2222-2222-2-2-2-2200-22-20022-2-200000-220000000000−2i2i2i−2i000000000000-222-2000000−2i2i2i−2i00000000000
χ442-2-2222-2222-2-2-2-2200-22-20022-2-200000-220000000000−2i2i−2i2i0000000000002-2-22000000−2i2i−2i2i00000000000
χ4544444-2-4-44-24-24-2-200-2-2-200-42-420000022000000000400000-400220000000000000-200000000000000000
χ4644444-2-4-44-24-24-2-200-2-2-200-42-420000022000000000-400000400-2-20000000000000200000000000000000
χ474444-24-4-4-24-24-24-200-2-2-2002-42-4000002200000000400000-402200000000000000-2000000000000000000
χ484444-24-4-4-24-24-24-200-2-2-2002-42-4000002200000000-40000040-2-2000000000000002000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-100000000000022-1-1110000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-211-1-10000000000000000000000000
χ5344-4-44400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-44400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-44400-4-444-4-44004-4-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ564-44-44400-4-444-4-44004-4-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ574-44-44-200-424-2-42-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ584-44-44-200-424-2-42-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ594-44-44-200-424-2-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ604-44-44-200-424-2-42-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ614-44-4-24002-4-242-4-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000023−230000000000000000000000i6−i6000000000
χ624-44-4-24002-4-242-4-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−23230000000000000000000000−i6i6000000000
χ634-44-4-24002-4-242-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000023−230000000000000000000000−i6i6000000000
χ644-44-4-24002-4-242-4-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−23230000000000000000000000i6−i6000000000
χ654-4-444-24-44-2-42-42-24i−4i2-2200-424-204i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000000000
χ664-4-444-24-44-2-42-42-2−4i4i2-2200-424-20−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000000000
χ674-4-444-2-444-2-42-42-2002-22004-2-42000002-20000000000004i−4i000000000000000000000000−2i2i00000000000
χ684-4-444-2-444-2-42-42-2002-22004-2-42000002-2000000000000−4i4i0000000000000000000000002i−2i00000000000
χ694-4-44-244-4-242-42-4-24i−4i2-22002-4-240−2i2i4i−4i-22000000000000000000000000−2i2i0000000000000000000000000
χ704-4-44-244-4-242-42-4-2−4i4i2-22002-4-2402i−2i−4i4i-220000000000000000000000002i−2i0000000000000000000000000
χ714-4-44-24-44-242-42-4-2002-2200-242-4000002-200000000004i−4i000000000000000000000000−2i2i0000000000000
χ724-4-44-24-44-242-42-4-2002-2200-242-4000002-20000000000−4i4i0000000000000000000000002i−2i0000000000000
χ734-4-44-2-24-4-2-2222214i−4i-11-10022-2-20−2i2i−2i2i1-100003i−3i3i−3i000000000000003-3i−i0000000000000000000000000
χ744-4-44-2-24-4-2-2222214i−4i-11-10022-2-20−2i2i−2i2i1-10000−3i3i−3i3i00000000000000-33i−i0000000000000000000000000
χ754-4-44-2-24-4-2-222221−4i4i-11-10022-2-202i−2i2i−2i1-100003i−3i3i−3i00000000000000-33−ii0000000000000000000000000
χ764-4-44-2-24-4-2-222221−4i4i-11-10022-2-202i−2i2i−2i1-10000−3i3i−3i3i000000000000003-3−ii0000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-48004-84-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004444-4-4200-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ8188-8-8-4-4004444-4-4200-2-2200000000000000000−323232−320000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-4442002-2-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-40044-4-4442002-2-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-88-4-4-88-4-44444200-22-200-4-44400000-22000000000000000000000000000000000000000000000000000

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