Finite Group Databasebeta

← Group #11870879

Character table — Group #11870879

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666223666881212121222442666612122424242424242424444422444466888812126666664444661212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1111-11-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111-1-111-1-111111111-1-11-1-1-11-111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-11-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-11-1-11-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-111-1-1-11-1-1-1111-1-11111111-1-1
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-111-1-11-1111-1-1-111-1-11111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000222200-2-20022000022000000-2-20000-2-20000000000000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-2-2-2-200-2200220000-2-20000002200002-20000000000000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-2-2-2-2002-200-2-2000022000000220000-220000000000000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-2000000002222002200-2-20000-2-2000000-2-20000220000000000000
χ2122222-122-12-1-12222-1-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000222000-1-10022002-1-1-1-1-10002-1-10-100-1-1000000-100
χ2222222-122-12-1-12222-1-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10000-2-2-20001100-2-2002-1-1-1-1-1000-211010011000000100
χ2322222-122-12-1-12222-1-1-1-1-2-22-1-122200-222-1-1-1-111-2-211110000222000-1-100-2-200-21-1-111000-2-1-10-10011000000100
χ2422222-122-12-1-12222-1-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110000-2-2-200011002200-21-1-1110002110100-1-1000000-100
χ2522222-122-12-1-122-2-2-1-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-10000-2-22000-1-1002200-211111000-2110-100-1-1000000100
χ2622222-122-12-1-122-2-2-1-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-1000022-20001100-2-200-2111110002-1-1010011000000-100
χ2722222-122-12-1-122-2-2-1-1-1-1-2-22-1-1222002-2-211-1-111-2-211110000-2-22000-1-100-2-2002-111-1-10002110-10011000000-100
χ2822222-122-12-1-122-2-2-1-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-21111000022-2000110022002-111-1-1000-2-1-10100-1-1000000100
χ292222-12222-122-1-122-1-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-10000000222002200-1-1-12-1-1-1-1002000-10-1-100-1-100000-10
χ302222-12222-122-1-122-1-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10000000-2-2-200-2-20011-12-1-1-1-100-2000101100110000010
χ312222-12222-122-1-122-1-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111000000022200-2-200-1-11-2-1-11100-2000-10-1-100110000010
χ322222-12222-122-1-122-1-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110000000-2-2-2002200111-2-1-111002000101100-1-100000-10
χ332222-12222-122-1-1-2-2-1-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-100000002-2-2002200-1-11-2111100-2000-101100-1-10000010
χ342222-12222-122-1-1-2-2-1-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10000000-22200-2-200111-2111100200010-1-1001100000-10
χ352222-12222-122-1-1-2-2-1-1-1-1-2-2-122-10022211-2-2-1-1-2-211111100000002-2-200-2-200-1-1-1211-1-1002000-1011001100000-10
χ362222-12222-122-1-1-2-2-1-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110000000-22200220011-1211-1-100-200010-1-100-1-10000010
χ3722-2-2222-2-2-22-22-22-22-2-2200-22-22000002-22-2-22000000002i2i−2i−2i00000000000000002-2002i−2i0000000000002i−2i00000
χ3822-2-2222-2-2-22-22-22-22-2-2200-22-22000002-22-2-2200000000−2i−2i2i2i00000000000000002-200−2i2i000000000000−2i2i00000
χ3922-2-2222-2-2-22-22-2-222-2-2200-22-2200000-22-22-22000000002i2i−2i−2i0000000000000000-22002i−2i000000000000−2i2i00000
χ4022-2-2222-2-2-22-22-2-222-2-2200-22-2200000-22-22-2200000000−2i−2i2i2i0000000000000000-2200−2i2i0000000000002i−2i00000
χ4122-2-222-22-2-22-22-2002-2-22002-22-20000000002-2000000002i2i−2i−2i2-2002i−2i00000000000000−2i2i002-2002i−2i00000000000
χ4222-2-222-22-2-22-22-2002-2-22002-22-20000000002-2000000002i2i−2i−2i-2200−2i2i00000000000000−2i2i00-2200−2i2i00000000000
χ4322-2-222-22-2-22-22-2002-2-22002-22-20000000002-200000000−2i−2i2i2i2-200−2i2i000000000000002i−2i002-200−2i2i00000000000
χ4422-2-222-22-2-22-22-2002-2-22002-22-20000000002-200000000−2i−2i2i2i-22002i−2i000000000000002i−2i00-22002i−2i00000000000
χ452-22-22200-22-22-2-20022-2-22−200002-22i−2i00000002−22−222−2−22i−2i2i−2i0000002-2i2−i22−22i−2i00000000000000002−2i2−i200i2−i2000
χ462-22-22200-22-22-2-20022-2-22−200002-2−2i2i00000002−22−222−2−2−2i2i−2i2i0000002-2−i2i22−2−2i2i00000000000000002−2−i2i200−i2i2000
χ472-22-22200-22-22-2-20022-2-22−20000-222i−2i00000002−22−222−2−2−2i2i−2i2i000000-22i2−i2−222i−2i0000000000000000−22i2−i200−i2i2000
χ482-22-22200-22-22-2-20022-2-22−20000-22−2i2i00000002−22−222−2−22i−2i2i−2i000000-22−i2i2−22−2i2i0000000000000000−22−i2i200i2−i2000
χ492-22-22200-22-22-2-20022-2-2−2200002-22i−2i0000000−22−22−2−2222i−2i2i−2i0000002-2−i2i2−222i−2i0000000000000000−22−i2i200−i2i2000
χ502-22-22200-22-22-2-20022-2-2−2200002-2−2i2i0000000−22−22−2−222−2i2i−2i2i0000002-2i2−i2−22−2i2i0000000000000000−22i2−i200i2−i2000
χ512-22-22200-22-22-2-20022-2-2−220000-222i−2i0000000−22−22−2−222−2i2i−2i2i000000-22−i2i22−22i−2i00000000000000002−2−i2i200i2−i2000
χ522-22-22200-22-22-2-20022-2-2−220000-22−2i2i0000000−22−22−2−2222i−2i2i−2i000000-22i2−i22−2−2i2i00000000000000002−2i2−i200−i2i2000
χ5344444-2-4-4-24-2-24400-2-2-2-200-422-44400000002200000000000000-4000-2-2000000000000000000020000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-200-422-4-4-4000000022000000000000004000220000000000000000000-20000000000000
χ554444-24-4-44-244-2-200-2-2-2-2002-4-4200440000022000000000000000-400000000-2-2000000000000200000000000000
χ564444-24-4-44-244-2-200-2-2-2-2002-4-4200-4-4000002200000000000000040000000022000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-24-42-4-224-44-4-222-200-4-224000004-4-222-20000000000000000000000000000-2200000000000000000000000
χ6244-4-44-24-42-4-224-4-44-222-200-4-22400000-442-22-200000000000000000000000000002-200000000000000000000000
χ6344-4-44-2-442-4-224-400-222-20042-2-4000000000-220000000000004-40000000000000000000000-22000000000000000
χ6444-4-44-2-442-4-224-400-222-20042-2-4000000000-22000000000000-4400000000000000000000002-2000000000000000
χ6544-4-4-244-4-424-4-224-4-222-20024-4-200000-224-42-20000000000000000000000000000-2200000000000000000000000
χ6644-4-4-244-4-424-4-22-44-222-20024-4-2000002-2-442-200000000000000000000000000002-200000000000000000000000
χ6744-4-4-24-44-424-4-2200-222-200-2-442000000000-2200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6844-4-4-24-44-424-4-2200-222-200-2-442000000000-220000000000000000−4i4i00000000000000000000002i−2i00000000000
χ6944-4-4-2-24-422-22-224-41-1-11002-22-200000-22-22-1100003-33-3000000000000000000001-13-3000000000000000000000
χ7044-4-4-2-24-422-22-224-41-1-11002-22-200000-22-22-110000-33-33000000000000000000001-1-33000000000000000000000
χ7144-4-4-2-24-422-22-22-441-1-11002-22-2000002-22-2-1100003-33-300000000000000000000-11-33000000000000000000000
χ7244-4-4-2-24-422-22-22-441-1-11002-22-2000002-22-2-110000-33-3300000000000000000000-113-3000000000000000000000
χ734-44-44-200242-2-4-400-2-22222−2200004-4000000000−2222−22−2−2220000000000-220022−22000000000000000000−22000000000
χ744-44-44-200242-2-4-400-2-22222−220000-44000000000−2222−22−2−22200000000002-200−22220000000000000000002−2000000000
χ754-44-44-200242-2-4-400-2-222−222200004-40000000002−2−222222−2−20000000000-2200−22220000000000000000002−2000000000
χ764-44-44-200242-2-4-400-2-222−22220000-440000000002−2−222222−2−200000000002-20022−22000000000000000000−22000000000
χ774-44-4-2400-4-2-442200-2-22222−220000004i−4i000000022−22−22−2−2220000000000002i2−2i200−2i2i000000000000000000−i2i20000000
χ784-44-4-2400-4-2-442200-2-22222−22000000−4i4i000000022−22−22−2−222000000000000−2i22i2002i−2i000000000000000000i2−i20000000
χ794-44-4-2400-4-2-442200-2-222−22220000004i−4i0000000−22222−222−2−2000000000000−2i22i200−2i2i000000000000000000i2−i20000000
χ804-44-4-2400-4-2-442200-2-222−2222000000−4i4i0000000−22222−222−2−20000000000002i2−2i2002i−2i000000000000000000−i2i20000000
χ814-4-4444004-4-4-4-44004-44-400000000000000000000000004-4-4400000000000000000000000000000000000000000
χ824-4-4444004-4-4-4-44004-44-40000000000000000000000000-444-400000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4-8844-44-44002-2-2200-44-440000000002-200000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-4440022-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ868-88-8-4-4004-44-4440022-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ878-8-888-400-4-844-8800-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480084-8-84-400-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-44444-4002-22-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ908-8-88-4-400-44444-4002-22-2000000000000000000000−323232−32000000000000000000000000000000000000000000000

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