Finite Group Databasebeta

← Group #11887039

Character table — Group #11887039

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212222224661212121224242424242424242244446666888866612121244888824661212121224242424461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-111111-1-1-1-1-1-11-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-11-1-1-11111-1-1-1-111-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1111-111-1-111-1-111111-1-1-1-1-11111-1-1111-111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1111-1-1111111-1-11-1-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-1-1-1-1111111-1-1-11-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1111-1-11111-1-111-111111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-1-1-11-1-1-1-1-111111111-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1111-1-1-1-111111-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-20000000000-2-200222200000000002200000000-2-2000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-20000000000-2200-2-2220000000000-2-200000000-2200000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000002-20022-2-20000000000-2-2000000002-200000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000002200-2-2-2-20000000000220000000022000000-20000
χ2122222-1222-1-12-12-1-1-1-1222-12-1220022-1-122-1-122-1-1-1-1-1-122200000-1-122002-1-1-1-1-100000020-1-1-1000-1-1000-1000
χ2222222-1222-1-12-12-1-1-1-1222-12-12200-2-211-2-2-1-122-1-1-1-1-1-1-2-2200000-1-12200-211111000000-2011-1000-1-10001000
χ2322222-1222-1-12-12-1-1-1-1222-12-1-2-20022-1-122-1-122-1-1-1-1-1-1-2-2-20000011-2-2002-1-1-1-1-1000000-20111000110001000
χ2422222-1222-1-12-12-1-1-1-1222-12-1-2-200-2-211-2-2-1-122-1-1-1-1-1-122-20000011-2-200-21111100000020-1-1100011000-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-12-122002-2-1-1-2-2-1-1-2-211111122200000-1-1-2-2002-1-1111000000-20-1-1-1000110001000
χ2622222-1222-1-12-12-1-1-1-1-2-22-12-12200-221122-1-1-2-2111111-2-2200000-1-1-2-200-211-1-1-10000002011-100011000-1000
χ2722222-1222-1-12-12-1-1-1-1-2-22-12-1-2-2002-2-1-1-2-2-1-1-2-2111111-2-2-2000001122002-1-111100000020111000-1-1000-1000
χ2822222-1222-1-12-12-1-1-1-1-2-22-12-1-2-200-221122-1-1-2-211111122-200000112200-211-1-1-1000000-20-1-11000-1-10001000
χ292222-1222-122-12-1-1-1-1-122-12-1200222222-1-1-1-1-1-122-1-1-1-1000222-1-1000022-1-1-12-1-100000002000-1-1-100-1-100-100
χ302222-1222-122-12-1-1-1-1-122-12-120022-2-2-2-211-1-1-1-122-1-1-1-10002-2-2-1-1000022111-2110000000-2000-11100-1-100100
χ312222-1222-122-12-1-1-1-1-122-12-1200-2-22222-1-1-1-1-1-122-1-1-1-1000-2-2-2110000-2-2-1-1-12-1-10000000-2000111001100100
χ322222-1222-122-12-1-1-1-1-122-12-1200-2-2-2-2-2-211-1-1-1-122-1-1-1-1000-222110000-2-2111-211000000020001-1-1001100-100
χ332222-1222-122-12-1-1-1-1-1-2-2-12-1200222-22211-1-111-2-211110002-2-2-1-10000-2-2-1-1-1-21100000002000-111001100-100
χ342222-1222-122-12-1-1-1-1-1-2-2-12-120022-22-2-2-1-1-1-111-2-21111000222-1-10000-2-21112-1-10000000-2000-1-1-1001100100
χ352222-1222-122-12-1-1-1-1-1-2-2-12-1200-2-22-22211-1-111-2-21111000-22211000022-1-1-1-2110000000-20001-1-100-1-100100
χ362222-1222-122-12-1-1-1-1-1-2-2-12-1200-2-2-22-2-2-1-1-1-111-2-21111000-2-2-2110000221112-1-10000000200011100-1-100-100
χ3722-2-2222-2-2-2-222-22-22-20022-2-20000000000-22000000002-2002i−2i00000000000000002i2i−2i−2i002-2002i−2i000000000
χ3822-2-2222-2-2-2-222-22-22-20022-2-20000000000-22000000002-200−2i2i0000000000000000−2i−2i2i2i002-200−2i2i000000000
χ3922-2-2222-2-2-2-222-22-22-20022-2-20000000000-2200000000-22002i−2i0000000000000000−2i−2i2i2i00-22002i−2i000000000
χ4022-2-2222-2-2-2-222-22-22-20022-2-20000000000-2200000000-2200−2i2i00000000000000002i2i−2i−2i00-2200−2i2i000000000
χ412-2-222200-2-22-2-222-2-222−200002-22-2000000002−22−222−2−20000002-22-22−22−20000002-22−22−2000000002−22−200000
χ422-2-222200-2-22-2-222-2-222−200002-2-22000000002−22−222−2−2000000-222-22−2−22000000-22−22−22000000002−2−2200000
χ432-2-222200-2-22-2-222-2-222−20000-222-2000000002−22−222−2−20000002-2-22−222−2000000-22−22−2200000000−222−200000
χ442-2-222200-2-22-2-222-2-222−20000-22-22000000002−22−222−2−2000000-22-22−22−220000002-22−22−200000000−22−2200000
χ452-2-222200-2-22-2-222-2-22−2200002-22-200000000−22−22−2−2220000002-22-2−22−220000002-2−22−2200000000−22−2200000
χ462-2-222200-2-22-2-222-2-22−2200002-2-2200000000−22−22−2−222000000-222-2−222−2000000-222−22−200000000−222−200000
χ472-2-222200-2-22-2-222-2-22−220000-222-200000000−22−22−2−2220000002-2-222−2−22000000-222−22−2000000002−2−2200000
χ482-2-222200-2-22-2-222-2-22−220000-22-2200000000−22−22−2−222000000-22-222−22−20000002-2−22−22000000002−22−200000
χ4944444-2-4-44-2-24-24-2-2-2-200-42-424400000000220000000000-400000-2-2000000000000000000002000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-42-42-4-4000000002200000000004000002200000000000000000000-2000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-42-400440000002200000000000-400-2-200000000000000000000000200000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-42-400-4-400000022000000000004002200000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-1-1-21100000000000000000000000
χ5744-4-444-44-4-4-444-44-44-400-4-44400000000004-4000000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-4224-2-4-22-22004-2-4200000000002-2000000004-400000000000000000000000000-220000000000000
χ5944-4-44-24-4-4224-2-4-22-22004-2-4200000000002-200000000-44000000000000000000000000002-20000000000000
χ6044-4-44-2-44-4224-2-4-22-2200-424-2000000−2i32i300-2200000000000000000000000−2i32i300000000000000000000000000
χ6144-4-44-2-44-4224-2-4-22-2200-424-20000002i3−2i300-22000000000000000000000002i3−2i300000000000000000000000000
χ6244-4-4-244-42-4-4-242-22-2200-242-400000000002-20000000000004i−4i00000000000000000000000000−2i2i000000000
χ6344-4-4-244-42-4-4-242-22-2200-242-400000000002-2000000000000−4i4i000000000000000000000000002i−2i000000000
χ6444-4-4-24-442-4-4-242-22-22002-4-240000000023−23-220000000000000000000000000023−2300000000000000000000000
χ6544-4-4-24-442-4-4-242-22-22002-4-2400000000−2323-2200000000000000000000000000−232300000000000000000000000
χ6644-4-4-2-2-44222-2-221-11-10022-2-2000000−2i32i323−231-100003i−3i3i−3i000000000000000i3−i30−3300000000000000000000000
χ6744-4-4-2-2-44222-2-221-11-10022-2-2000000−2i32i3−23231-10000−3i3i−3i3i000000000000000i3−i303−300000000000000000000000
χ6844-4-4-2-2-44222-2-221-11-10022-2-20000002i3−2i323−231-10000−3i3i−3i3i000000000000000−i3i30−3300000000000000000000000
χ6944-4-4-2-2-44222-2-221-11-10022-2-20000002i3−2i3−23231-100003i−3i3i−3i000000000000000−i3i303−300000000000000000000000
χ704-44-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ714-44-4440044-4-4-4-444-4-40000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ724-4-444-200-42-2-424-222-222−2200004-4000000000022−22−22−2−22200000000-2222−220000000000000000000000−220000000
χ734-4-444-200-42-2-424-222-222−220000-44000000000022−22−22−2−222000000002-2−222200000000000000000000002−20000000
χ744-4-444-200-42-2-424-222-2−222200004-40000000000−22222−222−2−200000000-22−222200000000000000000000002−20000000
χ754-4-444-200-42-2-424-222-2−22220000-440000000000−22222−222−2−2000000002-222−220000000000000000000000−220000000
χ764-4-44-24002-442-4-2-222-222−220000004-400000000−2222−22−2−222000000-22000022−220000000000000000000000−2200000
χ774-4-44-24002-442-4-2-222-222−22000000-4400000000−2222−22−2−2220000002-20000−222200000000000000000000002−200000
χ784-4-44-24002-442-4-2-222-2−22220000004-4000000002−2−222222−2−2000000-220000−222200000000000000000000002−200000
χ794-4-44-24002-442-4-2-222-2−2222000000-44000000002−2−222222−2−20000002-2000022−220000000000000000000000−2200000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8444-4-442-22-200-4-4440000000000-22000000000000000000000000000000000000000000000000000
χ828-88-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-4-4444422-2-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ858-88-8-4-400-4-4444422-2-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42-2-2242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42-2-22−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000

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