Finite Group Databasebeta

← Group #11864360

Character table — Group #11864360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212222244444466668812121212121212122424242422228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-11-1111-1-1-11-11-1111-111-1-11-1-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-11-1-1-11-1111-11-1-1-1-1111-1-11-111-1-111-1-111-1-111
χ111111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-1111-11-1-1-11-11111-1-1-111-11-1-111-1-1-1-111-1-111
χ121111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1111-11-11-1-1-11-1-111-1111-1-11111-1-111-1-1
χ131111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111-1111-1-1-1-111-111-11-1-1111-1-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-11-111-111-1-1-11-1-1-1111-11111-1-1-1-11111-1-1
χ151111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-1111-11-1-11-1-1111-1111-1-1-11-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-11111-1-11-1-11-111-1-1-111111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-200-2200002-200000000-2200000000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22002-20000-22000000002-200000000000000
χ192222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220022-1-10000-1-1-1-1-1-100000000000000
χ202222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-211000011111100000000000000
χ212222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-11111111122002200-2-2-1-100001111-1-100000000000000
χ222222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-111111111-2-200-2-20022110000-1-1-1-11100000000000000
χ232222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-211-2-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32-200-220000-110000−i3i3−i3i31-100000000000000
χ242222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-211-2-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-22002-200001-10000i3−i3i3−i3-1100000000000000
χ252222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-211-2-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-200-220000-110000i3−i3i3−i31-100000000000000
χ262222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-211-2-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-22002-200001-10000−i3i3−i3i3-1100000000000000
χ27222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-122000000-1-1-1-1-1-100000000
χ28222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011-2-200000011111100000000
χ29222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-111111111002200220000-1-1-2-2000000-1-1111100000000
χ30222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-11111111100-2-200-2-20000112200000011-1-1-1-100000000
χ312222-2-22222-2-22222222-2-2-2-222-2-2-2-22-2-2-22222-20000000000-2-222000000002200-2-200002200000000-2-200000000000000
χ322222-2-22222-2-22222222-2-2-2-222-2-2-2-22-2-2-22222-20000000000-2-22200000000-2-200220000-2-2000000002200000000000000
χ332222-2-22-122-2-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i32200-2-20000-1-10000−i3i3i3−i31100000000000000
χ342222-2-22-122-2-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-200220000110000i3−i3−i3i3-1-100000000000000
χ352222-2-22-122-2-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i32200-2-20000-1-10000i3−i3−i3i31100000000000000
χ362222-2-22-122-2-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-200220000110000−i3i3i3−i3-1-100000000000000
χ372222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-12-1-1-2-21122-222-1-1-2-211-1-111-1-1-1-111112-2002-2002-2-110000-1-111-1100000000000000
χ382222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-12-1-1-2-21122-222-1-1-2-211-1-111-1-1-1-11111-2200-2200-221-1000011-1-11-100000000000000
χ392222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-12-1-1-2-2112-22-2-21122-1-1-1-1111111-1-1-1-12-2002-200-22-11000011-1-1-1100000000000000
χ402222-2-22-1-2-22222-1-12-1-1-2-211-1-11111-12-1-1-2-2112-22-2-21122-1-1-1-1111111-1-1-1-1-2200-22002-21-10000-1-1111-100000000000000
χ412222-2-2-12-2-222-1-122-12-111-2-2-1-11111-1-12211-2-2-12-2-1-12211-2-2-1-111-1-1-1-11111002200-2-20000-1-12-200000011-1-11100000000
χ422222-2-2-12-2-222-1-122-12-111-2-2-1-11111-1-12211-2-2-12-2-1-12211-2-2-1-111-1-1-1-1111100-2-20022000011-22000000-1-111-1-100000000
χ432222-2-2-12-2-222-1-122-12-111-2-2-1-11111-1-12211-2-2-1-2211-2-2-1-122-1-1111111-1-1-1-1002200-2-20000-1-1-220000001111-1-100000000
χ442222-2-2-12-2-222-1-122-12-111-2-2-1-11111-1-12211-2-2-1-2211-2-2-1-122-1-1111111-1-1-1-100-2-200220000112-2000000-1-1-1-11100000000
χ452-2-222-2222-22-2-2-2-2-22222-22-2-2-222-2-22-22-22-22-2200000000002-22-200000000002-2002-200002-2000000002-2000000000000
χ462-2-222-2222-22-2-2-2-2-22222-22-2-2-222-2-22-22-22-22-2200000000002-22-20000000000-2200-220000-2200000000-22000000000000
χ472-2-222-222-22-22-2-2-2-22222-22-2-2-222-2-222-22-22-22-20000000000-22-220000000000000000000000000000000000002-22-20000
χ482-2-222-222-22-22-2-2-2-22222-22-2-2-222-2-222-22-22-22-20000000000-22-22000000000000000000000000000000000000-22-220000
χ492-2-222-2-122-22-211-2-2-12-1-112-211-1-111-112-2-112-2-100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i3002-2002-20000-1100000000-11−i3i3−i3i300000000
χ502-2-222-2-122-22-211-2-2-12-1-112-211-1-111-112-2-112-2-100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300-2200-2200001-1000000001-1i3−i3i3−i300000000
χ512-2-222-2-122-22-211-2-2-12-1-112-211-1-111-112-2-112-2-100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3002-2002-20000-1100000000-11i3−i3i3−i300000000
χ522-2-222-2-122-22-211-2-2-12-1-112-211-1-111-112-2-112-2-100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300-2200-2200001-1000000001-1−i3i3−i3i300000000
χ532-2-22-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-22-2-20000000000-222-20000000000000000000000000000000000002-2-220000
χ542-2-22-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-22-2-20000000000-222-2000000000000000000000000000000000000-222-20000
χ552-2-22-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-22-22200000000002-2-2200000000002-200-2200002-200000000-22000000000000
χ562-2-22-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-22-22200000000002-2-220000000000-22002-20000-22000000002-2000000000000
χ572-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-112-21-1-22-100−i3i300i3−i300-111-1−i3i3−i3i3i3−i3i3−i3002-200-220000-11000000001-1−i3i3i3−i300000000
χ582-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-112-21-1-22-100−i3i300i3−i300-111-1−i3i3−i3i3i3−i3i3−i300-22002-200001-100000000-11i3−i3−i3i300000000
χ592-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-112-21-1-22-100i3−i300−i3i300-111-1i3−i3i3−i3−i3i3−i3i3002-200-220000-11000000001-1i3−i3−i3i300000000
χ602-2-22-22-12-222-211-2-2-12-11-1-221111-1-1-112-21-1-22-100i3−i300−i3i300-111-1i3−i3i3−i3−i3i3−i3i300-22002-200001-100000000-11−i3i3i3−i300000000
χ61444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2-2-2-2-22-4-422-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000−2i32i300−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200002i3−2i3002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-4-2444-4-4-2-244-24-222-4-4-2-22222-22-4-4-2-2442000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-21222211-1-1-1-11222-2-2-2-220000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-21222211-1-1-1-11222-2-2-2-2200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-2-2-21222211-1-1-1-11-2-2-22222-24-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-2-2-21222211-1-1-1-11-2-2-22222-2-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7144-4-4004400004-44-4-4-4400004-40000-40000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ7244-4-4004400004-44-4-4-4400004-40000-400000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ734-44-400440000-44-44-4-440000-440000-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ744-44-400440000-44-44-4-440000-440000-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ754-4-444-44-24-44-4-4-4224-2-24-4-2222-2-222-2-4-224-4-2240000000000-22-2200000000000000000000000000000000000000000000
χ764-4-444-44-2-44-44-4-4224-2-24-4-2222-2-222-242-2-442-2-400000000002-22-200000000000000000000000000000000000000000000
χ774-4-444-4-24-44-4422-4-4-24-2-224-422-2-222-2-2-442-2-44200000000002-22-200000000000000000000000000000000000000000000
χ784-4-444-4-2-24-44-42222-2-21-22-22-1-111-1-112-22-22-22-200−2i32i300−2i32i3001-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ794-4-444-4-2-24-44-42222-2-21-22-22-1-111-1-112-22-22-22-2002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ804-4-444-4-2-2-44-442222-2-21-22-22-1-111-1-11-22-22-22-220000000000-11-113-3-333-3-33000000000000000000000000000000000000
χ814-4-444-4-2-2-44-442222-2-21-22-22-1-111-1-11-22-22-22-220000000000-11-11-333-3-333-3000000000000000000000000000000000000
χ824-4-44-444-24-4-44-4-4224-2-2-442-22222-2-2-242-24-4-22-400000000002-2-2200000000000000000000000000000000000000000000
χ834-4-44-444-2-444-4-4-4224-2-2-442-22222-2-2-2-4-22-442-240000000000-222-200000000000000000000000000000000000000000000
χ844-4-44-44-244-4-4422-4-4-24-22-2-442222-2-2-2-2-44-224-4200000000002-2-2200000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-22-2220000000000-111-13-3-33-333-3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-22-2220000000000-111-1-333-33-3-33000000000000000000000000000000000000
χ874-4-44-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-22-2-200−2i32i3002i3−2i3001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-22-2-2002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-8-44-84-40000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-84-8-40000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-884-4-84-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-884-8-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-44-44420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44-44420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000000

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