Finite Group Databasebeta

← Group #11870640

Character table — Group #11870640

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444441212121212122424242424242424444422244488881212121212121212121244246661212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1111-1-1-1-1-111-1-111111111-1-11-1111-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-11-1-1-1111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11-1-1-1-111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-1111111111111111-1-11-1-111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-11111-1-111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20000002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2-2002000000-2-2220000002200-20020000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2200-200000022-2-20000002200200-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222002000000-2-2-2-2000000-2-20020020000000000000
χ2122222-122-1-122-12-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000222000002200-1-1-12-1-1-1-10020-1-1-1000-1-1000000-100
χ2222222-122-1-122-12-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10000-2-2-200000-2-20011-12-1-1-1-100-2011100011000000100
χ2322222-122-1-122-12-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-21111000022200000-2-200-1-11-211-1-100-20-1-1-100011000000100
χ2422222-122-1-122-12-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110000-2-2-2000002200111-211-1-10020111000-1-1000000-100
χ2522222-122-1-122-12-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-100002-2-2000002200-1-11-2111100-20-111000-1-1000000100
χ2622222-122-1-122-12-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10000-22200000-2-200111-2111100201-1-100011000000-100
χ2722222-122-1-122-12-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111100002-2-200000-2-200-1-1-12-1-1110020-11100011000000-100
χ2822222-122-1-122-12-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110000-22200000220011-12-1-11100-201-1-1000-1-1000000100
χ292222-122222-1-12-1-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-100000002222200-1-1002-1-1-1-1-10002000-1-1-100-1-100000-10
χ302222-122222-1-12-1-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10000000-2-2-2-2-20011002-1-1-1-1-1000-200011100110000010
χ312222-122222-1-12-1-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-21111110000000222-2-200-1-100-2111-1-1000-2000-1-1-100110000010
χ322222-122222-1-12-1-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110000000-2-2-222001100-2111-1-1000200011100-1-100000-10
χ332222-122222-1-12-1-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-100000002-2-22200-1-100-211111000-2000-11100-1-10000010
χ342222-122222-1-12-1-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10000000-222-2-2001100-21111100020001-1-1001100000-10
χ352222-122222-1-12-1-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-211111100000002-2-2-2-200-1-1002-1-1-1110002000-111001100000-10
χ362222-122222-1-12-1-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110000000-222220011002-1-1-111000-20001-1-100-1-10000010
χ3722-2-222002-2-2-2-222002-2-22−200002i−2i2i−2i00000002−22−222−2−222-2-2000000i2−i2i2−i22i−2i2i−2i0000000000000000i2−i2i2−i2002−2000
χ3822-2-222002-2-2-2-222002-2-22−200002i−2i−2i2i00000002−22−222−2−2-2-222000000−i2i2i2−i2−2i2i2i−2i0000000000000000i2−i2−i2i200−22000
χ3922-2-222002-2-2-2-222002-2-22−20000−2i2i2i−2i00000002−22−222−2−2-2-222000000i2−i2−i2i22i−2i−2i2i0000000000000000−i2i2i2−i200−22000
χ4022-2-222002-2-2-2-222002-2-22−20000−2i2i−2i2i00000002−22−222−2−222-2-2000000−i2i2−i2i2−2i2i−2i2i0000000000000000−i2i2−i2i2002−2000
χ4122-2-222002-2-2-2-222002-2-2−2200002i−2i2i−2i0000000−22−22−2−22222-2-2000000−i2i2−i2i22i−2i2i−2i0000000000000000−i2i2−i2i200−22000
χ4222-2-222002-2-2-2-222002-2-2−2200002i−2i−2i2i0000000−22−22−2−222-2-222000000i2−i2−i2i2−2i2i2i−2i0000000000000000−i2i2i2−i2002−2000
χ4322-2-222002-2-2-2-222002-2-2−220000−2i2i2i−2i0000000−22−22−2−222-2-222000000−i2i2i2−i22i−2i−2i2i0000000000000000i2−i2−i2i2002−2000
χ4422-2-222002-2-2-2-222002-2-2−220000−2i2i−2i2i0000000−22−22−2−22222-2-2000000i2−i2i2−i2−2i2i−2i2i0000000000000000i2−i2i2−i200−22000
χ452-22-2222-2-2-22-22-2200-2-2200-22-22000000000-22000000002i−2i2i−2i02-202i−2i000000000000002i−2i0002-202i−2i00000000000
χ462-22-2222-2-2-22-22-2200-2-2200-22-22000000000-22000000002i−2i2i−2i0-220−2i2i000000000000002i−2i000-220−2i2i00000000000
χ472-22-2222-2-2-22-22-2200-2-2200-22-22000000000-2200000000−2i2i−2i2i02-20−2i2i00000000000000−2i2i0002-20−2i2i00000000000
χ482-22-2222-2-2-22-22-2200-2-2200-22-22000000000-2200000000−2i2i−2i2i0-2202i−2i00000000000000−2i2i000-2202i−2i00000000000
χ492-22-222-22-2-22-22-222-2-2-22002-22-2000002-22-22-2000000002i−2i2i−2i0000000000000000002-2−2i2i0000000000002i−2i00000
χ502-22-222-22-2-22-22-222-2-2-22002-22-2000002-22-22-200000000−2i2i−2i2i0000000000000000002-22i−2i000000000000−2i2i00000
χ512-22-222-22-2-22-22-22-22-2-22002-22-200000-22-222-2000000002i−2i2i−2i000000000000000000-22−2i2i000000000000−2i2i00000
χ522-22-222-22-2-22-22-22-22-2-22002-22-200000-22-222-200000000−2i2i−2i2i000000000000000000-222i−2i0000000000002i−2i00000
χ5344444-2-4-4-2-244-24-200-2-2-200-422-444000000022000000000000-400000000000-2-2000000000020000000000000000
χ5444444-2-4-4-2-244-24-200-2-2-200-422-4-4-4000000022000000000000400000000000220000000000-20000000000000000
χ554444-24-4-444-2-24-2-200-2-2-2002-4-4200440000022000000000000000-4000000-2-200000000000000020000000000000
χ564444-24-4-444-2-24-2-200-2-2-2002-4-4200-4-40000022000000000000000400000022000000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000000000000022-1-111000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-211-1-1000000000000000000000
χ6144-4-44-200-22-4-424-200-22222−2200004i−4i000000000−2222−22−2−2220000000000002i2−2i200−2i2i0000000000000000−i2i2000000000
χ6244-4-44-200-22-4-424-200-22222−220000−4i4i000000000−2222−22−2−222000000000000−2i22i2002i−2i0000000000000000i2−i2000000000
χ6344-4-44-200-22-4-424-200-222−222200004i−4i0000000002−2−222222−2−2000000000000−2i22i200−2i2i0000000000000000i2−i2000000000
χ6444-4-44-200-22-4-424-200-222−22220000−4i4i0000000002−2−222222−2−20000000000002i2−2i2002i−2i0000000000000000−i2i2000000000
χ6544-4-4-24004-422-4-2-200-22222−220000004i−4i000000022−22−22−2−22200000000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ6644-4-4-24004-422-4-2-200-22222−22000000−4i4i000000022−22−22−2−2220000000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ6744-4-4-24004-422-4-2-200-222−22220000004i−4i0000000−22222−222−2−20000000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ6844-4-4-24004-422-4-2-200-222−2222000000−4i4i0000000−22222−222−2−200000000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ694-44-44-24-4224-4-2-4-20022-200-4-2240000000002-200000000000004-40000000000000000000000-2200000000000000
χ704-44-44-24-4224-4-2-4-20022-200-4-2240000000002-20000000000000-4400000000000000000000002-200000000000000
χ714-44-44-2-44224-4-2-4-24-422-20042-2-4000004-4-22-22000000000000000000000000000000-22000000000000000000000
χ724-44-44-2-44224-4-2-4-2-4422-20042-2-400000-442-2-220000000000000000000000000000002-2000000000000000000000
χ734-44-4-244-4-4-4-2242-20022-20024-4-20000000002-200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ744-44-4-244-4-4-4-2242-20022-20024-4-20000000002-20000000000000000−4i4i00000000000000000000002i−2i00000000000
χ754-44-4-24-44-4-4-2242-24-422-200-2-44200000-224-4-22000000000000000000000000000000-22000000000000000000000
χ764-44-4-24-44-4-4-2242-2-4422-200-2-442000002-2-44-220000000000000000000000000000002-2000000000000000000000
χ774-44-4-2-2-4422-22-2214-4-1-1100-22-2200000-22-221-100003i−3i3i−3i000000000000000000003i−3i1-1000000000000000000000
χ784-44-4-2-2-4422-22-2214-4-1-1100-22-2200000-22-221-10000−3i3i−3i3i00000000000000000000−3i3i1-1000000000000000000000
χ794-44-4-2-2-4422-22-221-44-1-1100-22-22000002-22-21-100003i−3i3i−3i00000000000000000000−3i3i-11000000000000000000000
χ804-44-4-2-2-4422-22-221-44-1-1100-22-22000002-22-21-10000−3i3i−3i3i000000000000000000003i−3i-11000000000000000000000
χ814-4-444400-44-44-4-4400-44-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-444400-44-44-4-4400-44-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44444-42002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44444-42002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ868-88-8-4-48-844-44-44200-2-22004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ878-8-888-4004-4-884-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-884-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-44-444200-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ908-8-88-4-4004-44-444200-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000

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