Finite Group Databasebeta

← Group #11864502

Character table — Group #11864502

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212124812121212121224242424242424242222444466888812121212121212122244446661212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-1-1-111-1-111111111-1-1-1-11-1111-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-111111-1-111-1-1111111-1-1-1-1-11-1-1-1111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11-1-111-1-111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-11111-1-111-1-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111111111-1-1-1-1-1-11-1-1-11-111-1-111111-1-11
χ13111111111111111-1-11111111-11-1-1-1-1111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-11-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000000022-2-200220000-2-2000000-2-22200002-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2-2200-2-20000-2-200000022-2-2000022000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-222-2002200002200000022-2-20000-2-2000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2-22200-2-2000022000000-2-2220000-22000000000000
χ2122222-1222-12-1-12-122-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-122202000002200-1-12-1-1-1-1-1000020-1-1-1000-1-10000-1000
χ2222222-1222-12-1-12-122-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-2-2-20-200000-2-200112-1-1-1-1-10000-201110001100001000
χ2322222-1222-12-1-12-122-1-1-1-12-12-2-2-1-122-1-1-2-21111112220200000-2-200-1-1-2111-1-10000-20-1-1-10001100001000
χ2422222-1222-12-1-12-122-1-1-1-12-12-2-2-1-122-1-1-2-2111111-2-2-20-200000220011-2111-1-1000020111000-1-10000-1000
χ2522222-1222-12-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-2-211111122-20-2000002200112-1-1-1110000-20-1-11000-1-100001000
χ2622222-1222-12-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-2-2111111-2-220200000-2-200-1-12-1-1-11100002011-1000110000-1000
χ2722222-1222-12-1-12-1-2-2-1-1-1-12-12-2211-2-2-1-122-1-1-1-1-1-122-20-200000-2-20011-211111000020-1-11000110000-1000
χ2822222-1222-12-1-12-1-2-2-1-1-1-12-12-2211-2-2-1-122-1-1-1-1-1-1-2-2202000002200-1-1-2111110000-2011-1000-1-100001000
χ292222-1222-12-122-1-122-1-1-12-12-12222-1-1-1-1-1-122-1-1-1-100020222-1-1002200-12-1-1-1-1000002000-1-1-100-1-1000-100
χ302222-1222-12-122-1-122-1-1-12-12-12222-1-1-1-1-1-122-1-1-1-1000-20-2-2-21100-2-200-12-1-1-1-100000-20001110011000100
χ312222-1222-12-122-1-122-1-1-12-12-1-2-222-1-1-1-111-2-2111100020222-1-100-2-2001-211-1-100000-2000-1-1-10011000100
χ322222-1222-12-122-1-122-1-1-12-12-1-2-222-1-1-1-111-2-21111000-20-2-2-2110022001-211-1-100000200011100-1-1000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-12-12-2-2-211-1-111-2-21111000202-2-2-1-100-2-200-12-1-111000002000-1110011000-100
χ342222-1222-12-122-1-1-2-2-1-1-12-12-12-2-2-211-1-111-2-21111000-20-22211002200-12-1-11100000-20001-1-100-1-1000100
χ352222-1222-12-122-1-1-2-2-1-1-12-12-1-22-2-211-1-1-1-122-1-1-1-1000202-2-2-1-10022001-2111100000-2000-11100-1-1000100
χ362222-1222-12-122-1-1-2-2-1-1-12-12-1-22-2-211-1-1-1-122-1-1-1-1000-20-2221100-2-2001-211110000020001-1-10011000-100
χ372-2-22222-2-2-2-2-22222-2-2-22-2-222002-22-22-200000000000000000000000000002-22-22-20000000000002-20000
χ382-2-22222-2-2-2-2-22222-2-2-22-2-222002-22-22-200000000000000000000000000002-2-22-22000000000000-220000
χ392-2-22222-2-2-2-2-2222-22-2-22-2-22200-22-222-20000000000000000000000000000-222-22-2000000000000-220000
χ402-2-22222-2-2-2-2-2222-22-2-22-2-22200-22-222-20000000000000000000000000000-22-22-220000000000002-20000
χ412-2-2222-22-2-2-2-222200-2-2222-2-2000000-22000000002-200002-2000000000000002-2-22002-2002-20000000000
χ422-2-2222-22-2-2-2-222200-2-2222-2-2000000-22000000002-20000-2200000000000000-222-2002-200-220000000000
χ432-2-2222-22-2-2-2-222200-2-2222-2-2000000-2200000000-2200002-200000000000000-222-200-22002-20000000000
χ442-2-2222-22-2-2-2-222200-2-2222-2-2000000-2200000000-220000-22000000000000002-2-2200-2200-220000000000
χ4544444-2-4-44-24-2-24-200-2-2-22-42-400000022000000000040-40000000002200000000000000-20000000000000
χ4644444-2-4-44-24-2-24-200-2-2-22-42-4000000220000000000-404000000000-2-20000000000000020000000000000
χ474444-24-4-4-24-244-2-200-2-2-2-42-42000000220000000000040-400-2-20000000000000000000002000000000000
χ484444-24-4-4-24-244-2-200-2-2-2-42-420000002200000000000-4040022000000000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-4-444-4-4400-44-400000000000000000000000000000022−22000000000000000000000022−2200000000
χ5444-4-44400-4-444-4-4400-44-4000000000000000000000000000000−22220000000000000000000000−222200000000
χ5544-4-44-200-424-22-4-2002-22000000000000006−666−6−6000000000022−220023−23000000000000000000−2200000000
χ5644-4-44-200-424-22-4-2002-22000000000000006−666−6−60000000000−222200−23230000000000000000002−200000000
χ5744-4-44-200-424-22-4-2002-2200000000000000−66−6−666000000000022−2200−2323000000000000000000−2200000000
χ5844-4-44-200-424-22-4-2002-2200000000000000−66−6−6660000000000−22220023−230000000000000000002−200000000
χ594-44-4440044-4-4-4-44004-4-40000000000000000000000000000000022−22000000000000000000000022−22000000
χ604-44-4440044-4-4-4-44004-4-400000000000000000000000000000000−22220000000000000000000000−2222000000
χ614-44-4-2400-242-4-42-200-222000000000000i6−i600i6−i6i6−i600000000−2i32i30022−220000000000000000000000−22000000
χ624-44-4-2400-242-4-42-200-222000000000000i6−i600i6−i6i6−i6000000002i3−2i300−222200000000000000000000002−2000000
χ634-44-4-2400-242-4-42-200-222000000000000−i6i600−i6i6−i6i600000000−2i32i300−222200000000000000000000002−2000000
χ644-44-4-2400-242-4-42-200-222000000000000−i6i600−i6i6−i6i6000000002i3−2i30022−220000000000000000000000−22000000
χ654-4-444-24-4-42-42-24-24-422-22-4-2400-224-4-220000000000000000000000000000-220000000000000000000000
χ664-4-444-24-4-42-42-24-2-4422-22-4-24002-2-44-2200000000000000000000000000002-20000000000000000000000
χ674-4-444-2-44-42-42-24-20022-2-242-40000002-2000000004-400000000000000000000000000-2200000000000000
χ684-4-444-2-44-42-42-24-20022-2-242-40000002-200000000-44000000000000000000000000002-200000000000000
χ694-4-44-244-42-42-44-2-24-422-2-424-2004-4-22-220000000000000000000000000000-220000000000000000000000
χ704-4-44-244-42-42-44-2-2-4422-2-424-200-442-2-2200000000000000000000000000002-20000000000000000000000
χ714-4-44-24-442-42-44-2-20022-24-2-420000002-2000000000000004-4000000000000000000000000-220000000000
χ724-4-44-24-442-42-44-2-20022-24-2-420000002-200000000000000-440000000000000000000000002-20000000000
χ734-4-44-2-24-42222-2-214-4-1-1122-2-200-22-221-100003i−3i−3i3i0000000000000000003i−3i1-10000000000000000000000
χ744-4-44-2-24-42222-2-214-4-1-1122-2-200-22-221-10000−3i3i3i−3i000000000000000000−3i3i1-10000000000000000000000
χ754-4-44-2-24-42222-2-21-44-1-1122-2-2002-22-21-100003i−3i−3i3i000000000000000000−3i3i-110000000000000000000000
χ764-4-44-2-24-42222-2-21-44-1-1122-2-2002-22-21-10000−3i3i3i−3i0000000000000000003i−3i-110000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-8-48-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-444200-22-20000000000000026−26−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-444200-22-200000000000000−262666−6−600000000000000000000000000000000000000000000
χ818-88-88-4008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4-444442002-2-20000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-400-4-444442002-2-2000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4200-2-22-4-444000000-220000000000000000000000000000000000000000000000000000

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