Finite Group Databasebeta

← Group #11869060

Character table — Group #11869060

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666634466688121212124121212121212242424242424242444444444121212121212121212122244448812121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1-1-111111111-1-1-1-1-111-1111-1-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-1-11-111111-1-1111111-1-1-1-11-1-11-1-1-1111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-1-11111-1-1-111
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-1-1-1-11-11-111-11-1-111-1-111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1-11-11-1-11-111-1-1111111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-2-20022-2-2000000-2-2220000002-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000000220000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-2000000-2-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-22200-2-222000000-2-222000000-220000000000000
χ2122222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-100020222-1-1002-1-1-1-1-100002002000-1-1-100-1-10000-100
χ2222222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1000-20-2-2-211002-1-1-1-1-10000-200-200011100110000100
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-211111100020222-1-100-2111-1-10000-200-2000-1-1-100110000100
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111000-20-2-2-21100-2111-1-10000200200011100-1-10000-100
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1000202-2-2-1-100-2111110000-2002000-11100-1-10000100
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1000-20-2221100-2111110000200-20001-1-100110000-100
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111000202-2-2-1-1002-1-1-1110000200-2000-11100110000-100
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111000-20-22211002-1-1-1110000-20020001-1-100-1-10000100
χ292222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-12220200000-1-1-12-1-1-1-100000220-1-1-1000-1-10000000-10
χ302222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-2-2-20-20000011-12-1-1-1-100000-2-2011100011000000010
χ312222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-211112220200000-1-11-211-1-100000-2-20-1-1-100011000000010
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-2-2-20-200000111-211-1-100000220111000-1-10000000-10
χ332222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-122-20-200000111-21111000002-20-1-11000110000000-10
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-2-220200000-1-11-2111100000-22011-1000-1-1000000010
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-2111122-20-20000011-12-1-11100000-220-1-11000-1-1000000010
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-2-220200000-1-1-12-1-111000002-2011-1000110000000-10
χ372-22-2222-222-2-2-2-222-2-2-220022-2-202-22-22-20000000000000000000000002-22-22-2000000000000002-200000
χ382-22-2222-222-2-2-2-222-2-2-220022-2-202-22-22-20000000000000000000000002-2-22-2200000000000000-2200000
χ392-22-2222-222-2-2-2-22-22-2-220022-2-20-22-222-2000000000000000000000000-222-22-200000000000000-2200000
χ402-22-2222-222-2-2-2-22-22-2-220022-2-20-22-222-2000000000000000000000000-22-22-22000000000000002-200000
χ412-22-222-2222-2-2-2-2200-2-2200-2-22200000-22000000002i−2i00002i−2i00000000002-2-2200002i−2i002i−2i00000000000
χ422-22-222-2222-2-2-2-2200-2-2200-2-22200000-22000000002i−2i0000−2i2i0000000000-222-200002i−2i00−2i2i00000000000
χ432-22-222-2222-2-2-2-2200-2-2200-2-22200000-2200000000−2i2i00002i−2i0000000000-222-20000−2i2i002i−2i00000000000
χ442-22-222-2222-2-2-2-2200-2-2200-2-22200000-2200000000−2i2i0000−2i2i00000000002-2-220000−2i2i00−2i2i00000000000
χ4544444-2-4-44-24-24-2-200-2-2-200-42-4200000220000000000040-400-2-2000000000000000000020000000000000
χ4644444-2-4-44-24-24-2-200-2-2-200-42-42000002200000000000-40400220000000000000000000-20000000000000
χ474444-24-4-4-24-24-24-200-2-2-2002-42-40000022000000000040-400000220000000000000000-200000000000000
χ484444-24-4-4-24-24-24-200-2-2-2002-42-400000220000000000-40400000-2-20000000000000000200000000000000
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
χ5344-4-44400-4-444-4-44004-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ5444-4-44400-4-444-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ554-44-44-24-44-2-42-42-24-422-2004-2-4204-4-22-22000000000000000000000000-220000000000000000000000000
χ564-44-44-24-44-2-42-42-2-4422-2004-2-420-442-2-220000000000000000000000002-20000000000000000000000000
χ574-44-44-2-444-2-42-42-20022-200-424-2000002-2000000000000004i−4i0000000000000000000000−2i2i00000000000
χ584-44-44-2-444-2-42-42-20022-200-424-2000002-200000000000000−4i4i00000000000000000000002i−2i00000000000
χ594-44-4-244-4-242-42-4-24-422-200-242-40-224-4-22000000000000000000000000-220000000000000000000000000
χ604-44-4-244-4-242-42-4-2-4422-200-242-402-2-44-220000000000000000000000002-20000000000000000000000000
χ614-44-4-24-44-242-42-4-20022-2002-4-24000002-2000000004i−4i000000000000000000000000−2i2i000000000000000
χ624-44-4-24-44-242-42-4-20022-2002-4-24000002-200000000−4i4i0000000000000000000000002i−2i000000000000000
χ634-44-4-2-24-4-2-2222214-4-1-1100-2-2220-22-221-100003i3i−3i−3i000000000000003i−3i1-10000000000000000000000000
χ644-44-4-2-24-4-2-2222214-4-1-1100-2-2220-22-221-10000−3i−3i3i3i00000000000000−3i3i1-10000000000000000000000000
χ654-44-4-2-24-4-2-222221-44-1-1100-2-22202-22-21-100003i3i−3i−3i00000000000000−3i3i-110000000000000000000000000
χ664-44-4-2-24-4-2-222221-44-1-1100-2-22202-22-21-10000−3i−3i3i3i000000000000003i−3i-110000000000000000000000000
χ674-4-444400-4-4-4-444400-44-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ684-4-444400-4-4-4-444400-44-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ694-4-444-200-42-424-2-2002-22−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000023−23000000000000000000000000i6−i60000000
χ704-4-444-200-42-424-2-2002-22−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000000−2323000000000000000000000000−i6i60000000
χ714-4-444-200-42-424-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000023−23000000000000000000000000−i6i60000000
χ724-4-444-200-42-424-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000000−2323000000000000000000000000i6−i60000000
χ734-4-44-24002-42-4-24-2002-22−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000000000−2i32i3000000000000000000006−6000000000
χ744-4-44-24002-42-4-24-2002-22−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000002i3−2i300000000000000000000−66000000000
χ754-4-44-24002-42-4-24-2002-222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000000000−2i32i300000000000000000000−66000000000
χ764-4-44-24002-42-4-24-2002-222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000002i3−2i3000000000000000000006−6000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400-848-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-48004-8-484-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-4442002-2-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ8188-8-8-4-40044-4-4442002-2-200000000000000000−323232−320000000000000000000000000000000000000000000
χ828-88-8-4-4-88-4-44444200-2-220044-4-400000-22000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000

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