Finite Group Databasebeta

← Group #11870670

Character table — Group #11870670

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444441212121212122424242424242424444424444488881212121212121212121244446121212121224242424228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-11-1-1-111-1-111-1-111111111-1-11-1111-1-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1111-1-111-1-111-1-1111111-1-1-11-1-1-1111-1-111-1-1-1-11-1-1
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
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-111-111
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
χ9111111111111111-1-11111111111111-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-11-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111-1-11-11-1-1-111-1-1111111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-111-1-1-11-1111-1-111-1-111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-2-2000000002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2-2200000000-2-2220000002200-20020000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-22-20000000022-2-20000002200200-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222200000000-2-2-2-2000000-2-20020020000000000000
χ2122222-122-1-1222-1-122-1-1-1222-1-1222002-1-122-1-1-1-122-1-1-1-10000200022002200-1-1-12-1-1-1-10020-1-1-1000-1-10000000-10
χ2222222-122-1-1222-1-122-1-1-1222-1-12-2-2002-1-122-1-1-1-122-1-1-1-10000-2000-2-200-2-20011-12-1-1-1-100-2011100011000000010
χ2322222-122-1-1222-1-122-1-1-1-2-22-1-122200-2-1-122-1-111-2-21111000020002200-2-200-1-11-2-1-11100-20-1-1-100011000000010
χ2422222-122-1-1222-1-122-1-1-1-2-22-1-12-2-200-2-1-122-1-111-2-211110000-2000-2-2002200111-2-1-1110020111000-1-10000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-1222-1-122200-211-2-2-1-1-1-122-1-1-1-100002000-2-2002200-1-11-2111100-20-111000-1-1000000010
χ2622222-122-1-1222-1-1-2-2-1-1-1222-1-12-2-200-211-2-2-1-1-1-122-1-1-1-10000-20002200-2-200111-2111100201-1-1000110000000-10
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-1-122200211-2-2-1-111-2-2111100002000-2-200-2-200-1-1-1211-1-10020-111000110000000-10
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-1-12-2-200211-2-2-1-111-2-211110000-20002200220011-1211-1-100-201-1-1000-1-1000000010
χ292222-122222-1-1-12-122-1-1-122-122-10022222-1-1-1-122-1-1-1-1-1-100000222002200-1-1002-1-1-1-1-10002000-1-1-100-1-10000-100
χ302222-122222-1-1-12-122-1-1-122-122-100-2-2222-1-1-1-122-1-1-1-1-1-100000-2-2-200-2-20011002-1-1-1-1-1000-200011100110000100
χ312222-122222-1-1-12-122-1-1-1-2-2-122-10022-222-1-1-1-1-2-21111110000022200-2-200-1-100-21-1-111000-2000-1-1-100110000100
χ322222-122222-1-1-12-122-1-1-1-2-2-122-100-2-2-222-1-1-1-1-2-211111100000-2-2-20022001100-21-1-111000200011100-1-10000-100
χ332222-122222-1-1-12-1-2-2-1-1-122-122-10022-2-2-211-1-122-1-1-1-1-1-1000002-2-2002200-1-100-211111000-2000-11100-1-10000100
χ342222-122222-1-1-12-1-2-2-1-1-122-122-100-2-2-2-2-211-1-122-1-1-1-1-1-100000-22200-2-2001100-21111100020001-1-100110000-100
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-122-100222-2-211-1-1-2-2111111000002-2-200-2-200-1-1002-111-1-10002000-11100110000-100
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-122-100-2-22-2-211-1-1-2-211111100000-22200220011002-111-1-1000-20001-1-100-1-10000100
χ3722-2-222002-22-2-2-2200-2-222−200002i−2i2i−2i00000002−22−222−2−222-2-2000000i2−i2i2−i22i−2i2i−2i0000000000000000i2−i2i2−i2002−2000
χ3822-2-222002-22-2-2-2200-2-222−200002i−2i−2i2i00000002−22−222−2−2-2-222000000−i2i2i2−i2−2i2i2i−2i0000000000000000i2−i2−i2i200−22000
χ3922-2-222002-22-2-2-2200-2-222−20000−2i2i2i−2i00000002−22−222−2−2-2-222000000i2−i2−i2i22i−2i−2i2i0000000000000000−i2i2i2−i200−22000
χ4022-2-222002-22-2-2-2200-2-222−20000−2i2i−2i2i00000002−22−222−2−222-2-2000000−i2i2−i2i2−2i2i−2i2i0000000000000000−i2i2−i2i2002−2000
χ4122-2-222002-22-2-2-2200-2-22−2200002i−2i2i−2i0000000−22−22−2−22222-2-2000000−i2i2−i2i22i−2i2i−2i0000000000000000−i2i2−i2i200−22000
χ4222-2-222002-22-2-2-2200-2-22−2200002i−2i−2i2i0000000−22−22−2−222-2-222000000i2−i2−i2i2−2i2i2i−2i0000000000000000−i2i2i2−i2002−2000
χ4322-2-222002-22-2-2-2200-2-22−220000−2i2i2i−2i0000000−22−22−2−222-2-222000000−i2i2i2−i22i−2i−2i2i0000000000000000i2−i2−i2i2002−2000
χ4422-2-222002-22-2-2-2200-2-22−220000−2i2i−2i2i0000000−22−22−2−22222-2-2000000i2−i2i2−i2−2i2i−2i2i0000000000000000i2−i2i2−i200−22000
χ452-22-2222-2-2-2-22-2222i−2i-22-200-22-22000002i−2i2i−2i-22000000002i−2i2i−2i00000000000000002i−2i002i−2i0000000000002-200000
χ462-22-2222-2-2-2-22-2222i−2i-22-200-22-22000002i−2i2i−2i-2200000000−2i2i−2i2i00000000000000002i−2i00−2i2i000000000000-2200000
χ472-22-2222-2-2-2-22-222−2i2i-22-200-22-2200000−2i2i−2i2i-22000000002i−2i2i−2i0000000000000000−2i2i002i−2i000000000000-2200000
χ482-22-2222-2-2-2-22-222−2i2i-22-200-22-2200000−2i2i−2i2i-2200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i0000000000002-200000
χ492-22-222-22-2-2-22-22200-22-2002-22-20000000002-2000000002i−2i2i−2i002-22i−2i00000000000000−2i2i0002i−2i02-200000000000
χ502-22-222-22-2-2-22-22200-22-2002-22-20000000002-2000000002i−2i2i−2i00-22−2i2i00000000000000−2i2i000−2i2i0-2200000000000
χ512-22-222-22-2-2-22-22200-22-2002-22-20000000002-200000000−2i2i−2i2i002-2−2i2i000000000000002i−2i000−2i2i02-200000000000
χ522-22-222-22-2-2-22-22200-22-2002-22-20000000002-200000000−2i2i−2i2i00-222i−2i000000000000002i−2i0002i−2i0-2200000000000
χ5344444-2-4-4-2-2444-2-200-2-2-200-422-444000000022000000000000-400000000000-2-2000000000020000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-200-422-4-4-4000000022000000000000400000000000220000000000-20000000000000000
χ554444-24-4-444-2-2-24-200-2-2-2002-4-42004400000220000000000000-400000000-2-200000000000000020000000000000
χ564444-24-4-444-2-2-24-200-2-2-2002-4-4200-4-40000022000000000000040000000022000000000000000-20000000000000
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
χ6144-4-44-200-224-4-42-20022-222−2200004i−4i000000000−2222−22−2−2220000000000002i2−2i200−2i2i0000000000000000−i2i2000000000
χ6244-4-44-200-224-4-42-20022-222−220000−4i4i000000000−2222−22−2−222000000000000−2i22i2002i−2i0000000000000000i2−i2000000000
χ6344-4-44-200-224-4-42-20022-2−222200004i−4i0000000002−2−222222−2−2000000000000−2i22i200−2i2i0000000000000000i2−i2000000000
χ6444-4-44-200-224-4-42-20022-2−22220000−4i4i0000000002−2−222222−2−20000000000002i2−2i2002i−2i0000000000000000−i2i2000000000
χ6544-4-4-24004-4-222-4-20022-222−220000004i−4i000000022−22−22−2−22200000000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ6644-4-4-24004-4-222-4-20022-222−22000000−4i4i000000022−22−22−2−2220000000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ6744-4-4-24004-4-222-4-20022-2−22220000004i−4i0000000−22222−222−2−20000000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ6844-4-4-24004-4-222-4-20022-2−2222000000−4i4i0000000−22222−222−2−200000000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ694-44-44-24-422-44-4-2-24i−4i2-2200-4-22400000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ704-44-44-24-422-44-4-2-2−4i4i2-2200-4-224000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ714-44-44-2-4422-44-4-2-2002-220042-2-4000000000-2200000000000000004i−4i0000000000000000000−2i2i00000000000000
χ724-44-44-2-4422-44-4-2-2002-220042-2-4000000000-220000000000000000−4i4i00000000000000000002i−2i00000000000000
χ734-44-4-244-4-4-42-224-24i−4i2-220024-4-2000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ744-44-4-244-4-4-42-224-2−4i4i2-220024-4-200000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ754-44-4-24-44-4-42-224-2002-2200-2-442000000000-22000000000000004-4000000000000000000000000-2200000000000
χ764-44-4-24-44-4-42-224-2002-2200-2-442000000000-2200000000000000-440000000000000000000000002-200000000000
χ774-44-4-2-24-4222-22-214i−4i-11-1002-22-200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ784-44-4-2-24-4222-22-214i−4i-11-1002-22-200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ794-44-4-2-24-4222-22-21−4i4i-11-1002-22-2000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ804-44-4-2-24-4222-22-21−4i4i-11-1002-22-2000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ814-4-444400-44-4-44-44004-4-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-444400-44-4-44-44004-4-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44-4444200-2-2242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-4444200-2-22−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ868-88-8-4-4-88444-44-4200-22-200-44-440000000002-200000000000000000000000000000000000000000000000000000
χ878-8-888-4004-4-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-8844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000000

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