Finite Group Databasebeta

← Group #11895442

Character table — Group #11895442

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212444424661212121224242424242424244444448888121212126661212124488882412121212121224242424461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-11-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-1-11-111-1-111-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-111-11-1-111-1-111111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111-11-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-1-11-11-1-1111-1-1-1-111-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-111111-1-1-1-1-11111-1-11-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1-1-1-1-11111111-1-1-1-1-1-1-111-111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1111-1-11111-1-111111-1-1-111-1-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111111-1-1-1-1-11111-1-1-11111111-1-1-1-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-11-111-1-1-111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111-1111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-2000000000000-2-20000222200000022000000-20000-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000000000-22000022-2-2000000-2-2000000-200002000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-20000000000002-20000-2-222000000-2-200000020000-2000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000000000220000-2-2-2-2000000220000002000020000-20000
χ2122222-1222-1-1-122-1-1-1-1222-12-122002222-1-1-1-122-1-1-1-1-1-12200202200-1-100-1-1-12-1-100000020-1-1-1000-1-1000-1000
χ2222222-1222-1-1-122-1-1-1-1222-12-12200-2-2-2-211-1-122-1-1-1-1-1-1-2-200202200-1-100111-211000000-20-111000-1-10001000
χ2322222-1222-1-1-122-1-1-1-1222-12-1-2-2002222-1-1-1-122-1-1-1-1-1-1-2-200-20-2-2001100-1-1-12-1-1000000-20111000110001000
χ2422222-1222-1-1-122-1-1-1-1222-12-1-2-200-2-2-2-211-1-122-1-1-1-1-1-12200-20-2-2001100111-211000000201-1-100011000-1000
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-122002-22211-1-1-2-2111111-2-20020-2-200-1-100-1-1-1-21100000020-11100011000-1000
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-12200-22-2-2-1-1-1-1-2-2111111220020-2-200-1-1001112-1-1000000-20-1-1-1000110001000
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-1-2-2002-22211-1-1-2-21111112200-2022001100-1-1-1-211000000-201-1-1000-1-10001000
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-1-2-200-22-2-2-1-1-1-1-2-2111111-2-200-20220011001112-1-100000020111000-1-1000-1000
χ292222-1222-1222-1-1-1-1-1-122-12-12002222-1-122-1-1-1-122-1-1-1-1002202002200-1-12-1-1-1-1-100000002000-1-1-100-1-100-100
χ302222-1222-1222-1-1-1-1-1-122-12-120022-2-211-2-2-1-1-1-122-1-1-1-100-2-202002200-1-1-2111110000000-200011-100-1-100100
χ312222-1222-1222-1-1-1-1-1-122-12-1200-2-222-1-122-1-1-1-122-1-1-1-100-2-20-200-2-200112-1-1-1-1-10000000-2000111001100100
χ322222-1222-1222-1-1-1-1-1-122-12-1200-2-2-2-211-2-2-1-1-1-122-1-1-1-100220-200-2-20011-21111100000002000-1-11001100-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-1200222-2-1-1-2-2-1-111-2-2111100220200-2-200-1-12-1-11110000000-2000-1-1-1001100100
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-120022-221122-1-111-2-2111100-2-20200-2-200-1-1-211-1-1-10000000200011-1001100-100
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-1200-2-22-2-1-1-2-2-1-111-2-2111100-2-20-2002200112-1-11110000000200011100-1-100-100
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-1200-2-2-221122-1-111-2-2111100220-200220011-211-1-1-10000000-2000-1-1100-1-100100
χ3722-2-2222-22-2-22-2-22-22-200-2-2220000000000-22000000002-22i−2i0000000000000000002i2i−2i−2i0002-22i−2i0000000000
χ3822-2-2222-22-2-22-2-22-22-200-2-2220000000000-22000000002-2−2i2i000000000000000000−2i−2i2i2i0002-2−2i2i0000000000
χ3922-2-2222-22-2-22-2-22-22-200-2-2220000000000-2200000000-222i−2i000000000000000000−2i−2i2i2i000-222i−2i0000000000
χ4022-2-2222-22-2-22-2-22-22-200-2-2220000000000-2200000000-22−2i2i0000000000000000002i2i−2i−2i000-22−2i2i0000000000
χ412-22-22200-22-2-22-222-2-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i2000000−i2i2−i2i22-22-20000002-2−i2i2−i2i200000000−i2i2−i2i200000
χ422-22-22200-22-2-22-222-2-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i2000000−i2i2i2−i22-2-22000000-22i2−i2i2−i200000000−i2i2i2−i200000
χ432-22-22200-22-2-22-222-2-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i2000000i2−i2−i2i2-222-2000000-22i2−i2i2−i200000000i2−i2−i2i200000
χ442-22-22200-22-2-22-222-2-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i2000000i2−i2i2−i2-22-220000002-2−i2i2−i2i200000000i2−i2i2−i200000
χ452-22-22200-22-2-22-222-2-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i2000000i2−i2i2−i22-22-20000002-2i2−i2i2−i200000000i2−i2i2−i200000
χ462-22-22200-22-2-22-222-2-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i2000000i2−i2−i2i22-2-22000000-22−i2i2−i2i200000000i2−i2−i2i200000
χ472-22-22200-22-2-22-222-2-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i2000000−i2i2i2−i2-222-2000000-22−i2i2−i2i200000000−i2i2i2−i200000
χ482-22-22200-22-2-22-222-2-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i2000000−i2i2−i2i2-22-220000002-2i2−i2i2−i200000000−i2i2−i2i200000
χ4944444-2-4-44-2-2-244-2-2-2-200-42-42440000000022000000000000-400000-2-20000000000000000200000000000000
χ5044444-2-4-44-2-2-244-2-2-2-200-42-42-4-40000000022000000000000400000220000000000000000-200000000000000
χ514444-24-4-4-2444-2-2-2-2-2-2002-42-40044000000220000000000000-4000000-2-200000000000000000002000000000
χ524444-24-4-4-2444-2-2-2-2-2-2002-42-400-4-40000002200000000000004000000220000000000000000000-2000000000
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
χ5744-4-444-444-4-44-4-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000000
χ5844-4-44-24-4422-2-4-4-22-2200-424-200000000002-2000000004-4000000000000000000000000000-22000000000000
χ5944-4-44-24-4422-2-4-4-22-2200-424-200000000002-200000000-440000000000000000000000000002-2000000000000
χ6044-4-44-2-44422-2-4-4-22-22004-2-420000000023−23-220000000000000000000000000023−2300000000000000000000000
χ6144-4-44-2-44422-2-4-4-22-22004-2-4200000000−2323-2200000000000000000000000000−232300000000000000000000000
χ6244-4-4-244-4-2-4-4422-22-22002-4-2400000000002-200000000004i−4i000000000000000000000000000−2i2i0000000000
χ6344-4-4-244-4-2-4-4422-22-22002-4-2400000000002-20000000000−4i4i0000000000000000000000000002i−2i0000000000
χ6444-4-4-24-44-2-4-4422-22-2200-242-4000000−2i32i300-2200000000000000000000000−2i32i300000000000000000000000000
χ6544-4-4-24-44-2-4-4422-22-2200-242-40000002i3−2i300-22000000000000000000000002i3−2i300000000000000000000000000
χ6644-4-4-2-2-44-222-2221-11-100-2-222000000−2i32i323−231-100003i−3i3i−3i000000000000000i3−i30−3300000000000000000000000
χ6744-4-4-2-2-44-222-2221-11-100-2-222000000−2i32i3−23231-10000−3i3i−3i3i000000000000000i3−i303−300000000000000000000000
χ6844-4-4-2-2-44-222-2221-11-100-2-2220000002i3−2i323−231-10000−3i3i−3i3i000000000000000−i3i30−3300000000000000000000000
χ6944-4-4-2-2-44-222-2221-11-100-2-2220000002i3−2i3−23231-100003i−3i3i−3i000000000000000−i3i303−300000000000000000000000
χ704-44-44-200-4-2224-4-2-222−2i22i200004-40000000000−2i22i2i2−i2i2i2−i2−i2000000−2i22i200-220000000000000000000000i2−i20000000
χ714-44-44-200-4-2224-4-2-222−2i22i20000-440000000000−2i22i2i2−i2i2i2−i2−i20000002i2−2i2002-20000000000000000000000−i2i20000000
χ724-44-44-200-4-2224-4-2-2222i2−2i200004-400000000002i2−2i2−i2i2−i2−i2i2i20000002i2−2i200-220000000000000000000000−i2i20000000
χ734-44-44-200-4-2224-4-2-2222i2−2i20000-4400000000002i2−2i2−i2i2−i2−i2i2i2000000−2i22i2002-20000000000000000000000i2−i20000000
χ744-44-4-240024-4-4-22-2-222−2i22i20000004-400000000i2−i2−2i22i2i2i2−i2−i200000000−2i22i200-220000000000000000000000i2−i200000
χ754-44-4-240024-4-4-22-2-222−2i22i2000000-4400000000i2−i2−2i22i2i2i2−i2−i2000000002i2−2i2002-20000000000000000000000−i2i200000
χ764-44-4-240024-4-4-22-2-2222i2−2i20000004-400000000−i2i22i2−2i2−i2−i2i2i2000000002i2−2i200-220000000000000000000000−i2i200000
χ774-44-4-240024-4-4-22-2-2222i2−2i2000000-4400000000−i2i22i2−2i2−i2−i2i2i200000000−2i22i2002-20000000000000000000000i2−i200000
χ784-4-444400-4-44-4-444-4-4400000000000000000000000000000000000000000000000022−22−222200000000000000000
χ794-4-444400-4-44-4-444-4-44000000000000000000000000000000000000000000000000−222222−2200000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8-444-4442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-4422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-4422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-888-400-84-44-88-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-88-84-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42-2-220000000000000000000000−323232−320000000000000000000000000000000000000000000

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