Finite Group Databasebeta

← Group #11895683

Character table — Group #11895683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order122233446666663666881212121244444412121212121224242424242424244444448888121212121212121212124488882412121212121224242424461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-11-1-1-111-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-111-1-1-1-1-1111-1-111-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-1111-1-1-111-1-11111-1-1-111111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1111-1-1-1-1111111-11-1-1-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-1-1-111-1-11111111-1-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1111-1-1-1-11111-1-11-1111111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-11-1-1-1-11111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-11-1-1-111-1-1111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-20000000000-2-2000000222200000022000000-2-200000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000002-2000000-2-222000000-2-20000002-20000000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-20000000000-2200000022-2-2000000-2-2000000-220000000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000000022000000-2-2-2-2000000220000002200000000-20000
χ2122222-1222-1-12-12-1-1-1-1222-12-100222222-1-1-1-122-1-1-1-1-1-12220000022-1-100-12-1-1-1-100000020-1000-1-100-1-10-1000
χ2222222-1222-1-12-12-1-1-1-1222-12-10022-2-2-2-211-1-122-1-1-1-1-1-1-2-220000022-1-1001-21111000000-20-10001100-1-101000
χ2322222-1222-1-12-12-1-1-1-1222-12-100-2-22222-1-1-1-122-1-1-1-1-1-1-2-2-200000-2-21100-12-1-1-1-1000000-20100011001101000
χ2422222-1222-1-12-12-1-1-1-1222-12-100-2-2-2-2-2-211-1-122-1-1-1-1-1-122-200000-2-211001-21111000000201000-1-100110-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-12-100222-22211-1-1-2-2111111-2-2200000-2-2-1-100-1-211-1-100000020-10001100110-1000
χ2622222-1222-1-12-12-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-1-2-211111122200000-2-2-1-10012-1-111000000-20-1000-1-1001101000
χ2722222-1222-1-12-12-1-1-1-1-2-22-12-100-2-22-22211-1-1-2-211111122-200000221100-1-211-1-1000000-201000-1-100-1-101000
χ2822222-1222-1-12-12-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-1-2-2111111-2-2-20000022110012-1-1110000002010001100-1-10-1000
χ292222-1222-122-12-1-1-1-1-122-12-12220022-1-122-1-1-1-122-1-1-1-1000222220000-1-12-1-1-1-1-1000000020-1-1-100-1-10000-100
χ302222-1222-122-12-1-1-1-1-122-12-122200-2-211-2-2-1-1-1-122-1-1-1-10002-2-2220000-1-1-2111110000000-20-11100-1-10000100
χ312222-1222-122-12-1-1-1-1-122-12-12-2-20022-1-122-1-1-1-122-1-1-1-1000-2-2-2-2-20000112-1-1-1-1-10000000-2011100110000100
χ322222-1222-122-12-1-1-1-1-122-12-12-2-200-2-211-2-2-1-1-1-122-1-1-1-1000-222-2-2000011-2111110000000201-1-100110000-100
χ332222-1222-122-12-1-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-111-2-21111000222-2-20000-1-12111-1-10000000-20-1-1-100110000100
χ342222-1222-122-12-1-1-1-1-1-2-2-12-122200-221122-1-111-2-211110002-2-2-2-20000-1-1-2-1-1-111000000020-11100110000-100
χ352222-1222-122-12-1-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-111-2-21111000-2-2-2220000112111-1-100000002011100-1-10000-100
χ362222-1222-122-12-1-1-1-1-1-2-2-12-12-2-200-221122-1-111-2-21111000-22222000011-2-1-1-1110000000-201-1-100-1-10000100
χ3722-2-2222-22-2-2-22-22-2-2200-2-2220000000000-22000000002-2002i−2i00000000000000002i2i−2i−2i00002i−2i2-2000000000
χ3822-2-2222-22-2-2-22-22-2-2200-2-2220000000000-22000000002-200−2i2i0000000000000000−2i−2i2i2i0000−2i2i2-2000000000
χ3922-2-2222-22-2-2-22-22-2-2200-2-2220000000000-2200000000-22002i−2i0000000000000000−2i−2i2i2i00002i−2i-22000000000
χ4022-2-2222-22-2-2-22-22-2-2200-2-2220000000000-2200000000-2200−2i2i00000000000000002i2i−2i−2i0000−2i2i-22000000000
χ412-22-22200-2-22-2-222-22-2−i2i200002-22i−2i00000000−i2i2−i2i2−i2−i2i2i2000000−i2i22−22i−2i2-20000002i−2i2−22−200000000−i2i22−200000
χ422-22-22200-2-22-2-222-22-2−i2i200002-2−2i2i00000000−i2i2−i2i2−i2−i2i2i2000000−i2i2−22−2i2i2-2000000−2i2i−22−2200000000−i2i2−2200000
χ432-22-22200-2-22-2-222-22-2−i2i20000-222i−2i00000000−i2i2−i2i2−i2−i2i2i2000000i2−i22−22i−2i-22000000−2i2i−22−2200000000i2−i22−200000
χ442-22-22200-2-22-2-222-22-2−i2i20000-22−2i2i00000000−i2i2−i2i2−i2−i2i2i2000000i2−i2−22−2i2i-220000002i−2i2−22−200000000i2−i2−2200000
χ452-22-22200-2-22-2-222-22-2i2−i200002-22i−2i00000000i2−i2i2−i2i2i2−i2−i2000000i2−i2−222i−2i2-20000002i−2i−22−2200000000i2−i2−2200000
χ462-22-22200-2-22-2-222-22-2i2−i200002-2−2i2i00000000i2−i2i2−i2i2i2−i2−i2000000i2−i22−2−2i2i2-2000000−2i2i2−22−200000000i2−i22−200000
χ472-22-22200-2-22-2-222-22-2i2−i20000-222i−2i00000000i2−i2i2−i2i2i2−i2−i2000000−i2i2−222i−2i-22000000−2i2i2−22−200000000−i2i2−2200000
χ482-22-22200-2-22-2-222-22-2i2−i20000-22−2i2i00000000i2−i2i2−i2i2i2−i2−i2000000−i2i22−2−2i2i-220000002i−2i−22−2200000000−i2i22−200000
χ4944444-2-4-44-2-24-24-2-2-2-200-42-420044000000220000000000-40000000-2-20000000000000000200000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-42-4200-4-400000022000000000040000000220000000000000000-200000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-42-444000000002200000000000-400000000-2-200000000000000020000000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-42-4-4-400000000220000000000040000000022000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-22-1-11100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-211-1-100000000000000000000000
χ5744-4-444-444-4-4-44-44-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000000
χ5844-4-44-24-4422-4-2-4-222-200-424-200000000002-2000000004-4000000000000000000000000000000-22000000000
χ5944-4-44-24-4422-4-2-4-222-200-424-200000000002-200000000-440000000000000000000000000000002-2000000000
χ6044-4-44-2-44422-4-2-4-222-2004-2-420000000023−23-2200000000000000000000000023−230000000000000000000000000
χ6144-4-44-2-44422-4-2-4-222-2004-2-4200000000−2323-22000000000000000000000000−23230000000000000000000000000
χ6244-4-4-244-4-2-4-4242-222-2002-4-2400000000002-20000000000004i−4i000000000000000000000000−2i2i00000000000
χ6344-4-4-244-4-2-4-4242-222-2002-4-2400000000002-2000000000000−4i4i0000000000000000000000002i−2i00000000000
χ6444-4-4-24-44-2-4-4242-222-200-242-4000000−2i32i300-2200000000000000000000000000−2i32i300000000000000000000000
χ6544-4-4-24-44-2-4-4242-222-200-242-40000002i3−2i300-22000000000000000000000000002i3−2i300000000000000000000000
χ6644-4-4-2-2-44-2222-221-1-1100-2-222000000−2i32i323−231-100003i−3i3i−3i0000000000000000−33i3−i300000000000000000000000
χ6744-4-4-2-2-44-2222-221-1-1100-2-222000000−2i32i3−23231-10000−3i3i−3i3i00000000000000003−3i3−i300000000000000000000000
χ6844-4-4-2-2-44-2222-221-1-1100-2-2220000002i3−2i323−231-10000−3i3i−3i3i0000000000000000−33−i3i300000000000000000000000
χ6944-4-4-2-2-44-2222-221-1-1100-2-2220000002i3−2i3−23231-100003i−3i3i−3i00000000000000003−3−i3i300000000000000000000000
χ704-44-44-200-42-2-424-22-22−2i22i20000004i−4i00000000−2i22i2i2−i2i2i2−i2−i20000000022−22−2i2i000000000000000000000000−2200000
χ714-44-44-200-42-2-424-22-22−2i22i2000000−4i4i00000000−2i22i2i2−i2i2i2−i2−i200000000−22222i−2i0000000000000000000000002−200000
χ724-44-44-200-42-2-424-22-222i2−2i20000004i−4i000000002i2−2i2−i2i2−i2−i2i2i200000000−2222−2i2i0000000000000000000000002−200000
χ734-44-44-200-42-2-424-22-222i2−2i2000000−4i4i000000002i2−2i2−i2i2−i2−i2i2i20000000022−222i−2i000000000000000000000000−2200000
χ744-44-4-24002-442-4-2-22-22−2i22i200004-40000000000i2−i2−2i22i2i2i2−i2−i2000000−2i22i20000-2200000000000000000000i2−i20000000
χ754-44-4-24002-442-4-2-22-22−2i22i20000-440000000000i2−i2−2i22i2i2i2−i2−i20000002i2−2i200002-200000000000000000000−i2i20000000
χ764-44-4-24002-442-4-2-22-222i2−2i200004-40000000000−i2i22i2−2i2−i2−i2i2i20000002i2−2i20000-2200000000000000000000−i2i20000000
χ774-44-4-24002-442-4-2-22-222i2−2i20000-440000000000−i2i22i2−2i2−i2−i2i2i2000000−2i22i200002-200000000000000000000i2−i20000000
χ784-4-444400-44-44-4-444-4-4000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ794-4-444400-44-44-4-444-4-40000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8-4444-442-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-444-42-22-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-42-22-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-888-400-8-4484-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480048-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-44422-2-2000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ878-8-88-4-4004-44-44422-2-20000000000000000000000−323232−320000000000000000000000000000000000000000000

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