Finite Group Databasebeta

← Group #11896081

Character table — Group #11896081

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212124412121212121212121212121244444444121212121212121212121212121224668812121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ711111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-111
χ9111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-11-1111-11111-1-111111-111-1-1-1-1-1-11-1111-1-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-11-1-1-11-11111-1-111111-111-1-11-111-11-1-11-1-1-1-1-111-1-111-11
χ11111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1111-11-1-1-1-111-1-1-1-11-111-1-1-11-1-11-111-111111-1-1-1-111-11
χ12111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-11-1-1-11-1-1-1-111-1-1-1-11-111-1-11111-11-1-1-1111-1-11111-1-11-1
χ13111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-11-1-111-11-1-1-11111-111-1-111-1-1111-1
χ14111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-1-11-1-11111111-1-1-11-11111-1-111-1-1-11
χ15111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-1-1111-1111-1-1111111-11-1-111-1-1-1-1-1111-11-1-1-1-11111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-1-11-1-1-1111-1-1111111-11-1-1111-1111-1-1-1-11-1-111-1-1-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-200-2-20000-2-222-2-22200-2-2002222000000000000000000-2-2000000000000
χ1822222222-2-22222222-2222-2-2-22222-200-2-20000-2-222-2-2-2-2002200-2-2-2-200000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-2-2-2222-200-220022-2-2000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-2-2-222-22002-200-2-2220000000000000000002-2000000000000
χ2122222-12222-1-122-12-12-1-1-1-12222-1-1-122-122222-1-1-1-1-1-10022000000000000-1-1-1-1-1-120-1-122-1-10000-1-1-1-1000000
χ2222222-12222-1-122-12-12-1-1-1-12222-1-1-122-122222-1-1-1-1-1-100-2-2000000000000-1-1-1-1-1-1-2011-2-21100001111000000
χ2322222-12222-1-122-12-12-1-1-1-12222-1-1-1-2-2-12-2-2-2-2-1-1-1-1-1-1002200000000000011111120-1-1-2-2-1-100001111000000
χ2422222-12222-1-122-12-12-1-1-1-12222-1-1-1-2-2-12-2-2-2-2-1-1-1-1-1-100-2-2000000000000111111-201122110000-1-1-1-1000000
χ2522222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-12-21-222-2-2-1-111110022000000000000-11-1-111-20112-2-1-10000-1-111000000
χ2622222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-12-21-222-2-2-1-1111100-2-2000000000000-11-1-11120-1-1-2211000011-1-1000000
χ2722222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-1-221-2-2-222-1-1111100220000000000001-111-1-1-2011-22-1-1000011-1-1000000
χ2822222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-1-221-2-2-222-1-1111100-2-20000000000001-111-1-120-1-12-2110000-1-111000000
χ292222-12222222-1-12-1-12-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-122-1-1-1-102000000-1-1-1-10000000000
χ302222-12222222-1-12-1-12-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111122-1-1-1-10-200000011110000000000
χ312222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-22-11111-1-1-1-1-1-1220022-2-2-1-1-1-11111-2-211110-2000000-1-1110000000000
χ322222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-22-11111-1-1-1-1-1-1-2-200-2-2221111-1-1-1-1-2-211110200000011-1-10000000000
χ332222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-200-21−i3i3−i3i311-1-1112200-2-200-1-1-1-1−i3−i3i3i300−i3i3−i3i30000000011−i3i30000000000
χ342222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-200-21−i3i3−i3i311-1-111-2-20022001111i3i3−i3−i300−i3i3−i3i300000000-1-1i3−i30000000000
χ352222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-200-21i3−i3i3−i311-1-1112200-2-200-1-1-1-1i3i3−i3−i300i3−i3i3−i30000000011i3−i30000000000
χ362222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-200-21i3−i3i3−i311-1-111-2-20022001111−i3−i3i3i300i3−i3i3−i300000000-1-1−i3i30000000000
χ372222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-222-2-21-1-111-1-111112-2002-222-1-111-1-1-1-12-2-1-1110-2000000-11110000000000
χ382222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-222-2-21-1-111-1-11111-2200-22-2-211-1-111112-2-1-111020000001-1-1-10000000000
χ392222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-22-2111-1-1-1-111112-2002-2-2-2-1-1111111-2211-1-102000000-11-1-10000000000
χ402222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-22-2111-1-1-1-11111-2200-222211-1-1-1-1-1-1-2211-1-10-20000001-1110000000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2002-1−i3i3i3−i31111-1-12-200-2200-1-111−i3−i3i3i300−i3i3i3−i3000000001-1i3−i30000000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2002-1−i3i3i3−i31111-1-1-22002-20011-1-1i3i3−i3−i300−i3i3i3−i300000000-11−i3i30000000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2002-1i3−i3−i3i31111-1-12-200-2200-1-111i3i3−i3−i300i3−i3−i3i3000000001-1−i3i30000000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2002-1i3−i3−i3i31111-1-1-22002-20011-1-1−i3−i3i3i300i3−i3−i3i300000000-11i3−i30000000000
χ452-2-222200-222-22-2-2-2202-2-2-22-200002000000002-20000002i−2i002-200002-22-20000000000002i−2i000000002i−2i0000
χ462-2-222200-222-22-2-2-2202-2-2-22-200002000000002-20000002i−2i00-220000-22-220000000000002i−2i00000000−2i2i0000
χ472-2-222200-222-22-2-2-2202-2-2-22-200002000000002-2000000−2i2i002-200002-22-2000000000000−2i2i00000000−2i2i0000
χ482-2-222200-222-22-2-2-2202-2-2-22-200002000000002-2000000−2i2i00-220000-22-22000000000000−2i2i000000002i−2i0000
χ4944444-244-4-4-2-244-24-2-4-2-2-22-4-444-2-22002-4000022-2-22200000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-244-24-24-2-2-22-4-4-4-422200-2400002222-2-200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-21111110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-22222111111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-220022−2i32i3−2i32i3-1-111-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200222i3−2i32i3−2i3-1-111-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-24-422-2-22211-1-1-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-2-442222-2-211-1-1-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2−2i32i32i3−2i3-1-1-1-111000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-22i3−2i3−2i32i3-1-1-1-111000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-4444-400-4-4-444-440-44-40004-44-4000000000004-40000000000000000000000000000000000000000000000
χ6044-4-444-4400-4-4-444-440-44-4000-44-4400000000000-440000000000000000000000000000000000000000000000
χ6144-4-44-24-40022-44-2-4-202-220004-4-2200000000000-220000000000000000000000000000000000006−66−6000000
χ6244-4-44-24-40022-44-2-4-202-220004-4-2200000000000-22000000000000000000000000000000000000−66−66000000
χ6344-4-44-2-440022-44-2-4-202-22000-442-2000000000002-20000000000000000000000000000000000006−6−66000000
χ6444-4-44-2-440022-44-2-4-202-22000-442-2000000000002-2000000000000000000000000000000000000−666−6000000
χ6544-4-4-244-400-4-42-242-202-22000-224-400000000000-220000000000−2i32i3−2i32i300000000000000000000000000000000
χ6644-4-4-244-400-4-42-242-202-22000-224-400000000000-2200000000002i3−2i32i3−2i300000000000000000000000000000000
χ6744-4-4-24-4400-4-42-242-202-220002-2-44000000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ6844-4-4-24-4400-4-42-242-202-220002-2-44000000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ694-44-4440000-44-4-4-4440-4-4400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ704-44-4440000-44-4-4-4440-4-44000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ714-4-4444004-44-44-4-4-4404-4-44-440000-400000000-44000000000000000000000000000000000000000000000000
χ724-4-444-2004-4-224-42-4-20-222-2-4400002000000002-20000000000000000000000000000−2i32i3000000000000000000
χ734-4-444-2004-4-224-42-4-20-222-2-4400002000000002-200000000000000000000000000002i3−2i3000000000000000000
χ744-4-444-200-44-224-42-4-20-22224-40000-200000000-220000004i−4i000000000000000000000000−2i2i00000000000000
χ754-4-444-200-44-224-42-4-20-22224-40000-200000000-22000000−4i4i0000000000000000000000002i−2i00000000000000
χ764-4-44-24004-44-4-22-42-20-22242-20000-4000000002-20000000000000000−2i32i32i3−2i30000000000000000000000000000
χ774-4-44-24004-44-4-22-42-20-22242-20000-4000000002-200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ784-4-44-2400-444-4-22-42-20-222-4-220000400000000-2200000000004-40000-22-220000000000000000000000000000
χ794-4-44-2400-444-4-22-42-20-222-4-220000400000000-220000000000-4400002-22-20000000000000000000000000000
χ8088-8-8-4-48-800444-4-4420-22-2000-44-44000000000002-20000000000000000000000000000000000000000000000
χ8188-8-8-4-4-8800444-4-4420-22-20004-44-400000000000-220000000000000000000000000000000000000000000000
χ828-88-88-400004-4-8-848-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-480000-8844-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400004-4444-420-2-22000000000000000000006-600000000000000000000000000000000000000000000
χ858-88-8-4-400004-4444-420-2-2200000000000000000000-6600000000000000000000000000000000000000000000
χ868-8-88-4-4008-8-44-4444202-2-2-44-40000400000000-22000000000000000000000000000000000000000000000000
χ878-8-88-4-400-88-44-4444202-2-24-440000-4000000002-2000000000000000000000000000000000000000000000000

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