Finite Group Databasebeta

← Group #11864461

Character table — Group #11864461

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666634466688121212124121212121212242424242424242422444444666612121212121222442288121212121212242424242288664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1111-1-1-111-1-1111111-1-1-1-11-11-1111-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-1-1-1111-1-111111111-1-1-1-1-11-11-1-1-1111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11111-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-111-1-1-1-11-11-1-1-1-111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-111-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-200-2002222000000-2-2220000-200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-20020022-2-200000022-2-20000-20020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22200-200-2-22200000022-2-20000200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-2200200-2-2-2-2000000-2-222000020020000000000000
χ2122222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10200022200-1-12-1-1-1-1-100000202000-1-1-100-1-100000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-2000-2-2-200112-1-1-1-1-100000-20-200011100110000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110200022200-1-1-2111-1-100000-20-2000-1-1-100110000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-2000-2-2-20011-2111-1-10000020200011100-1-100000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020002-2-200-1-1-21111100000-202000-11100-1-10000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-2000-2220011-2111110000020-20001-1-1001100000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111020002-2-200-1-12-1-1-1110000020-2000-111001100000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-2000-22200112-1-1-11100000-2020001-1-100-1-10000010
χ292222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-120222000-1-100-12-1-1-1-100002020-1-1-1000-1-1000000-100
χ302222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-2-2-20001100-12-1-1-1-10000-20-2011100011000000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-2111120222000-1-1001-211-1-10000-20-20-1-1-100011000000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2-2-200011001-211-1-100002020111000-1-1000000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1202-2-2000-1-1001-211110000-2020-111000-1-1000000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-22200011001-21111000020-201-1-100011000000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111202-2-2000-1-100-12-1-111000020-20-11100011000000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-2220001100-12-1-1110000-20201-1-1000-1-1000000100
χ372-2-22222-2-2-2-2-22222-2-2-2200-2-22202-22-22-20000000000000000000000002-22-22-2000000000000002-200000
χ382-2-22222-2-2-2-2-22222-2-2-2200-2-22202-22-22-20000000000000000000000002-2-22-2200000000000000-2200000
χ392-2-22222-2-2-2-2-2222-22-2-2200-2-2220-22-222-2000000000000000000000000-222-22-200000000000000-2200000
χ402-2-22222-2-2-2-2-2222-22-2-2200-2-2220-22-222-2000000000000000000000000-22-22-22000000000000002-200000
χ412-2-2222-22-2-2-2-222200-2-220022-2-200000-22000000000002-202-200000000002-2-22000002-202-200000000000
χ422-2-2222-22-2-2-2-222200-2-220022-2-200000-22000000000002-20-220000000000-222-2000002-20-2200000000000
χ432-2-2222-22-2-2-2-222200-2-220022-2-200000-2200000000000-2202-20000000000-222-200000-2202-200000000000
χ442-2-2222-22-2-2-2-222200-2-220022-2-200000-2200000000000-220-2200000000002-2-2200000-220-2200000000000
χ4544444-2-4-44-24-24-2-200-2-2-200-42-4200000220000000004000-40000-2-20000000000000000020000000000000
χ4644444-2-4-44-24-24-2-200-2-2-200-42-420000022000000000-4000400002200000000000000000-20000000000000
χ474444-24-4-4-24-24-24-200-2-2-2002-42-400000220000000040-400000-2-2000000000000000020000000000000000
χ484444-24-4-4-24-24-24-200-2-2-2002-42-4000002200000000-40400000220000000000000000-20000000000000000
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
χ5344-4-44400-4-444-4-4400-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ5444-4-44400-4-444-4-4400-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ5544-4-44-200-424-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−2i32i300000000000000000000006−60000000
χ5644-4-44-200-424-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200000000002i3−2i30000000000000000000000−660000000
χ5744-4-44-200-424-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−2i32i30000000000000000000000−660000000
χ5844-4-44-200-424-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200000000002i3−2i300000000000000000000006−60000000
χ5944-4-4-24002-4-242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−2i32i300000000000000000000006−6000000000
χ6044-4-4-24002-4-242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000002i3−2i30000000000000000000000−66000000000
χ6144-4-4-24002-4-242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−2i32i30000000000000000000000−66000000000
χ6244-4-4-24002-4-242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000002i3−2i300000000000000000000006−6000000000
χ634-44-4440044-4-4-4-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-4440044-4-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-444-24-4-42-424-2-24-422-200-424-204-4-22-22000000000000000000000000-220000000000000000000000000
χ664-4-444-24-4-42-424-2-2-4422-200-424-20-442-2-220000000000000000000000002-20000000000000000000000000
χ674-4-444-2-44-42-424-2-20022-2004-2-42000002-2000000000000004-40000000000000000000000-2200000000000
χ684-4-444-2-44-42-424-2-20022-2004-2-42000002-200000000000000-4400000000000000000000002-200000000000
χ694-4-44-244-42-42-4-24-24-422-2002-4-240-224-4-22000000000000000000000000-220000000000000000000000000
χ704-4-44-244-42-42-4-24-2-4422-2002-4-2402-2-44-220000000000000000000000002-20000000000000000000000000
χ714-4-44-24-442-42-4-24-20022-200-242-4000002-2000000000004-40000000000000000000000-2200000000000000
χ724-4-44-24-442-42-4-24-20022-200-242-4000002-200000000000-4400000000000000000000002-200000000000000
χ734-4-44-2-24-42222-2-214-4-1-110022-2-20-22-221-100003i−3i3i−3i000000000000003i−3i1-10000000000000000000000000
χ744-4-44-2-24-42222-2-214-4-1-110022-2-20-22-221-10000−3i3i−3i3i00000000000000−3i3i1-10000000000000000000000000
χ754-4-44-2-24-42222-2-21-44-1-110022-2-202-22-21-100003i−3i3i−3i00000000000000−3i3i-110000000000000000000000000
χ764-4-44-2-24-42222-2-21-44-1-110022-2-202-22-21-10000−3i3i−3i3i000000000000003i−3i-110000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-4-444200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-444200-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ808-88-88-4008-4-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-484-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4-444442002-2-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ838-88-8-4-400-4-444442002-2-200000000000000000−323232−320000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4200-2-2200-4-44400000-22000000000000000000000000000000000000000000000000000

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