Finite Group Databasebeta

← Group #11870688

Character table — Group #11870688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444441212121212122424242424242424444422244488881212121212121212121244246661212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1111-1-1-11-1-111-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-11-111-1-11111-1-1111111-1-11-1-1-1111-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-1111-1-1-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-111-1-1-1-1-11-1-1111-1-1-111-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11-1-111111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-1-11-1-1-111111-1-11111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-11-1111-1-1-1-1-11111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-11111-1-111-111-11111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000222200-2-20000002222000000-2-20000-200-200000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2002-2000000-2-222000000220000200-200000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-200-2200000022-2-2000000220000-200200000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022220022000000-2-2-2-2000000-2-20000200200000000000
χ2122222-1222-1-1-122-122-1-1-1222-1-1200222-1-122-1-1-1-122-1-1-1-100000020220022-1-100-12-1-1-1-1002000-1-1-10-1-1000000-100
χ2222222-1222-1-1-122-122-1-1-1222-1-1200-2-22-1-122-1-1-1-122-1-1-1-1000000-20-2-200-2-21100-12-1-1-1-100-2000111011000000100
χ2322222-1222-1-1-122-122-1-1-1-2-22-1-120022-2-1-122-1-111-2-21111000000202200-2-2-1-1001-2-1-11100-2000-1-1-1011000000100
χ2422222-1222-1-1-122-122-1-1-1-2-22-1-1200-2-2-2-1-122-1-111-2-21111000000-20-2-2002211001-2-1-1110020001110-1-1000000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1222-1-120022-211-2-2-1-1-1-122-1-1-1-100000020-2-20022-1-1001-2111100-2000-1110-1-1000000100
χ2622222-1222-1-1-122-1-2-2-1-1-1222-1-1200-2-2-211-2-2-1-1-1-122-1-1-1-1000000-202200-2-211001-211110020001-1-1011000000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-22-1-120022211-2-2-1-111-2-2111100000020-2-200-2-2-1-100-1211-1-1002000-111011000000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-22-1-1200-2-2211-2-2-1-111-2-21111000000-202200221100-1211-1-100-20001-1-10-1-1000000100
χ292222-1222-1222-1-1-122-1-1-122-122-12200222-1-1-1-122-1-1-1-1-1-10000220200220000-1-12-1-1-1-1-10002-1-1000-100-1-100000-10
χ302222-1222-1222-1-1-122-1-1-122-122-1-2-200222-1-1-1-122-1-1-1-1-1-10000-2-20-200-2-20000112-1-1-1-1-1000-211000100110000010
χ312222-1222-1222-1-1-122-1-1-1-2-2-122-12200-222-1-1-1-1-2-21111110000220200-2-20000-1-1-21-1-111000-2-1-1000-100110000010
χ322222-1222-1222-1-1-122-1-1-1-2-2-122-1-2-200-222-1-1-1-1-2-21111110000-2-20-20022000011-21-1-111000211000100-1-100000-10
χ332222-1222-1222-1-1-1-2-2-1-1-122-122-12200-2-2-211-1-122-1-1-1-1-1-10000-2-20200220000-1-1-211111000-211000-100-1-10000010
χ342222-1222-1222-1-1-1-2-2-1-1-122-122-1-2-200-2-2-211-1-122-1-1-1-1-1-10000220-200-2-2000011-2111110002-1-10001001100000-10
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-2-122-122002-2-211-1-1-2-21111110000-2-20200-2-20000-1-12-111-1-1000211000-1001100000-10
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-2-122-1-2-2002-2-211-1-1-2-21111110000220-200220000112-111-1-1000-2-1-1000100-1-10000010
χ372-22-22200-2-2-22-222002-2-22−200002i−2i2i−2i00000002−22−222−2−222-2-2000000i2−i2i2−i22i−2i2i−2i0000000000000000i2−i2i2−i2002−2000
χ382-22-22200-2-2-22-222002-2-22−200002i−2i−2i2i00000002−22−222−2−2-2-222000000i2−i2−i2i2−2i2i2i−2i0000000000000000−i2i2i2−i200−22000
χ392-22-22200-2-2-22-222002-2-22−20000−2i2i2i−2i00000002−22−222−2−2-2-222000000−i2i2i2−i22i−2i−2i2i0000000000000000i2−i2−i2i200−22000
χ402-22-22200-2-2-22-222002-2-22−20000−2i2i−2i2i00000002−22−222−2−222-2-2000000−i2i2−i2i2−2i2i−2i2i0000000000000000−i2i2−i2i2002−2000
χ412-22-22200-2-2-22-222002-2-2−2200002i−2i2i−2i0000000−22−22−2−22222-2-2000000−i2i2−i2i22i−2i2i−2i0000000000000000−i2i2−i2i200−22000
χ422-22-22200-2-2-22-222002-2-2−2200002i−2i−2i2i0000000−22−22−2−222-2-222000000−i2i2i2−i2−2i2i2i−2i0000000000000000i2−i2−i2i2002−2000
χ432-22-22200-2-2-22-222002-2-2−220000−2i2i2i−2i0000000−22−22−2−222-2-222000000i2−i2−i2i22i−2i−2i2i0000000000000000−i2i2i2−i2002−2000
χ442-22-22200-2-2-22-222002-2-2−220000−2i2i−2i2i0000000−22−22−2−22222-2-2000000i2−i2i2−i2−2i2i−2i2i0000000000000000i2−i2i2−i200−22000
χ452-2-22222-222-2-2-2-222i−2i-22-200-22-22000002i−2i2i−2i-22000000002i−2i2i−2i00000000000000002i−2i002i−2i0000000000002-200000
χ462-2-22222-222-2-2-2-222i−2i-22-200-22-22000002i−2i2i−2i-2200000000−2i2i−2i2i00000000000000002i−2i00−2i2i000000000000-2200000
χ472-2-22222-222-2-2-2-22−2i2i-22-200-22-2200000−2i2i−2i2i-22000000002i−2i2i−2i0000000000000000−2i2i002i−2i000000000000-2200000
χ482-2-22222-222-2-2-2-22−2i2i-22-200-22-2200000−2i2i−2i2i-2200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i0000000000002-200000
χ492-2-2222-2222-2-2-2-2200-22-2002-22-20000000002-2000000002i−2i2i−2i2-2002i−2i00000000000000−2i2i002-202i−2i000000000000
χ502-2-2222-2222-2-2-2-2200-22-2002-22-20000000002-2000000002i−2i2i−2i-2200−2i2i00000000000000−2i2i00-220−2i2i000000000000
χ512-2-2222-2222-2-2-2-2200-22-2002-22-20000000002-200000000−2i2i−2i2i2-200−2i2i000000000000002i−2i002-20−2i2i000000000000
χ522-2-2222-2222-2-2-2-2200-22-2002-22-20000000002-200000000−2i2i−2i2i-22002i−2i000000000000002i−2i00-2202i−2i000000000000
χ5344444-2-4-44-2-2-244-200-2-2-200-422-40044000002200000000000000-40000000-2-200000000000000200000000000000
χ5444444-2-4-44-2-2-244-200-2-2-200-422-400-4-4000002200000000000000400000002200000000000000-200000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2002-4-4244000000022000000000000000-400000000-2-2000000000000000200000000000
χ564444-24-4-4-2444-2-2-200-2-2-2002-4-42-4-400000002200000000000000040000000022000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44400-4-44-44-4400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ6244-4-44400-4-44-44-4400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-44-44-200-422-2-44-200-22222−220000004i−4i0000000−2222−22−2−2220000000000002i2−2i2−2i2i000000000000000000−i2i2000000000
χ644-44-44-200-422-2-44-200-22222−22000000−4i4i0000000−2222−22−2−222000000000000−2i22i22i−2i000000000000000000i2−i2000000000
χ654-44-44-200-422-2-44-200-222−22220000004i−4i00000002−2−222222−2−2000000000000−2i22i2−2i2i000000000000000000i2−i2000000000
χ664-44-44-200-422-2-44-200-222−2222000000−4i4i00000002−2−222222−2−20000000000002i2−2i22i−2i000000000000000000−i2i2000000000
χ674-44-4-24002-4-442-2-200-22222−2200004i−4i00000000022−22−22−2−22200000000002i2−2i20000−2i2i000000000000000000−i2i20000000
χ684-44-4-24002-4-442-2-200-22222−220000−4i4i00000000022−22−22−2−2220000000000−2i22i200002i−2i000000000000000000i2−i20000000
χ694-44-4-24002-4-442-2-200-222−222200004i−4i000000000−22222−222−2−20000000000−2i22i20000−2i2i000000000000000000i2−i20000000
χ704-44-4-24002-4-442-2-200-222−22220000−4i4i000000000−22222−222−2−200000000002i2−2i200002i−2i000000000000000000−i2i20000000
χ714-4-444-24-44-222-4-4-24i−4i2-2200-4-22400000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ724-4-444-24-44-222-4-4-2−4i4i2-2200-4-224000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ734-4-444-2-444-222-4-4-2002-220042-2-4000000000-2200000000000000004i−4i000000000000000000000−2i2i000000000000
χ744-4-444-2-444-222-4-4-2002-220042-2-4000000000-220000000000000000−4i4i0000000000000000000002i−2i000000000000
χ754-4-44-244-4-24-4-422-24i−4i2-220024-4-2000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ764-4-44-244-4-24-4-422-2−4i4i2-220024-4-200000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ774-4-44-24-44-24-4-422-2002-2200-2-442000000000-220000000000004-40000000000000000000000-22000000000000000
χ784-4-44-24-44-24-4-422-2002-2200-2-442000000000-22000000000000-4400000000000000000000002-2000000000000000
χ794-4-44-2-24-4-2-2222214i−4i-11-1002-22-200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ804-4-44-2-24-4-2-2222214i−4i-11-1002-22-200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ814-4-44-2-24-4-2-222221−4i4i-11-1002-22-2000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ824-4-44-2-24-4-2-222221−4i4i-11-1002-22-2000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-88-400-84-448-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-48004-88-8-44-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-44-44200-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-44-44200-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ888-88-8-4-400444-44-42002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ898-88-8-4-400444-44-42002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ908-8-88-4-4-88-4-44444200-22-200-44-440000000002-200000000000000000000000000000000000000000000000000000

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