Finite Group Databasebeta

← Group #11867802

Character table — Group #11867802

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666666661212121212121212441212121212121212121212121212121212121212224488888888244466661212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-111-1-1
χ91111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-1111111-1-11-11111-1-11-1-1-111-1-1-1-11-1
χ101111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-111-11-1-1-111-1-11-111-1-11111-11
χ111111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-11-1-11-1111-1-111-11-1-111-1-111-11
χ121111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1111111-1-111-11-1-1-1-111-1111-1-111-1-11-1
χ131111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-11111-1-1111-1-1-1-1-1111-11111-1-1-1-1-11
χ141111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-111-1-1-1-11-1-111-111-1-1111-1-1-1-1-111111-1
χ151111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-111-1-11-1-111-1-1-111111-1-1111-1
χ161111-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-111111111-1-1-111111-1-1-11-1-1-1-111-1-1-11
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-2-220000000000002-2000000-220000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-222-2000000000000-220000002-20000000000
χ192222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000202-1-100-1-1-1-1-1-10000000000
χ202222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000-20-211001111110000000000
χ212222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-1111111112222000000000-20-2-1-1001111-1-10000000000
χ222222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000000002021100-1-1-1-1110000000000
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−i3i3i32-2-22000000000000-1100−i3i3−i3i31-10000000000
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−i3i3i3-222-20000000000001-100i3−i3i3−i3-110000000000
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−i32-2-22000000000000-1100i3−i3i3−i31-10000000000
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−i3-222-20000000000001-100−i3i3−i3i3-110000000000
χ27222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000202000-1-1000000-1-1-1-1-1-10000
χ28222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-20-2000110000001111110000
χ29222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-111111111000022220000-20-20001100000011-1-1-1-10000
χ30222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000202000-1-1000000-1-111110000
χ312222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-2-22222-20000000000-2-2220000000022-2-200000000000022000000-2-20000000000
χ322222-2-222-222-22222222-2-2-2-222-2-2-2-22-2-2-22222-20000000000-2-22200000000-2-222000000000000-2-2000000220000000000
χ332222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-12-1-1-2-21122-222-1-1-2-211-1-111-1-1-1-111112-22-200000000020-2-1100-1-111-110000000000
χ342222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-12-1-1-2-21122-222-1-1-2-211-1-111-1-1-1-11111-22-22000000000-2021-10011-1-11-10000000000
χ352222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-12-1-1-2-2112-22-2-21122-1-1-1-1111111-1-1-1-12-22-2000000000-202-110011-1-1-110000000000
χ362222-2-22-12-2-2222-1-12-1-1-2-211-1-11111-12-1-1-2-2112-22-2-21122-1-1-1-1111111-1-1-1-1-22-2200000000020-21-100-1-1111-10000000000
χ372222-2-22-1-222-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i322-2-2000000000000-1-100−i3i3i3−i3110000000000
χ382222-2-22-1-222-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-2220000000000001100i3−i3−i3i3-1-10000000000
χ392222-2-22-1-222-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i322-2-2000000000000-1-100i3−i3−i3i3110000000000
χ402222-2-22-1-222-222-1-12-1-1-2-211-1-11111-1-21122-1-1-20000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-2220000000000001100−i3i3i3−i3-1-10000000000
χ412222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-12211-2-2-12-2-1-12211-2-2-1-111-1-1-1-11111000022-2-2000020-2000-1-100000011-1-1110000
χ422222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-12211-2-2-12-2-1-12211-2-2-1-111-1-1-1-111110000-2-2220000-20200011000000-1-111-1-10000
χ432222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-12211-2-2-1-2211-2-2-1-122-1-1111111-1-1-1-1000022-2-20000-20200011000000-1-1-1-1110000
χ442222-2-2-122-2-22-1-122-12-111-2-2-1-11111-1-12211-2-2-1-2211-2-2-1-122-1-1111111-1-1-1-10000-2-222000020-2000-1-10000001111-1-10000
χ452-22-22-22222-2-2-2-2-2-22222-22-2-2-222-2-2222-22-22-2-200000000002-22-200000000000000002i2i−2i−2i000000000000000000002i−2i00
χ462-22-22-22222-2-2-2-2-2-22222-22-2-2-222-2-2222-22-22-2-200000000002-22-20000000000000000−2i−2i2i2i00000000000000000000−2i2i00
χ472-22-22-222-2-222-2-2-2-22222-22-2-2-222-2-22-2-22-22-2220000000000-22-220000000000002-22-2000000000000000000002-22-20000
χ482-22-22-222-2-222-2-2-2-22222-22-2-2-222-2-22-2-22-22-2220000000000-22-22000000000000-22-2200000000000000000000-22-220000
χ492-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-221-1-22-100−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300002-22-20000000000−i3i3000000−i3i3-11-110000
χ502-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-221-1-22-100−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i30000-22-220000000000i3−i3000000i3−i31-11-10000
χ512-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-221-1-22-100i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300002-22-20000000000i3−i3000000i3−i3-11-110000
χ522-22-22-2-12-2-22211-2-2-12-1-112-211-1-111-11-221-1-22-100i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i30000-22-220000000000−i3i3000000−i3i31-11-10000
χ532-22-2-22222-22-2-2-2-2-2222-22-22-2-2-2-222222-2-22-22-200000000002-2-2200000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-22-2-22222-22-2-2-2-2-2222-22-22-2-2-2-222222-2-22-22-200000000002-2-220000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-22-2-2222-22-22-2-2-2-2222-22-22-2-2-2-2222-2-222-22-220000000000-222-20000000000002-2-22000000000000000000002-2-220000
χ562-22-2-2222-22-22-2-2-2-2222-22-22-2-2-2-2222-2-222-22-220000000000-222-2000000000000-222-200000000000000000000-222-20000
χ572-22-2-22-12-22-2211-2-2-12-11-1-221111-1-1-11-22-112-2-100−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i300002-2-220000000000−i3i3000000i3−i3-111-10000
χ582-22-2-22-12-22-2211-2-2-12-11-1-221111-1-1-11-22-112-2-100−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i30000-222-20000000000i3−i3000000−i3i31-1-110000
χ592-22-2-22-12-22-2211-2-2-12-11-1-221111-1-1-11-22-112-2-100i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i300002-2-220000000000i3−i3000000−i3i3-111-10000
χ602-22-2-22-12-22-2211-2-2-12-11-1-221111-1-1-11-22-112-2-100i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i30000-222-20000000000−i3i3000000i3−i31-1-110000
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
χ664444-4-4-24-444-4-2-244-24-222-4-4-2-22222-22-4-4-2-2442000000000022-2-200000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-2-2-22222-24-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-2-2-22222-2-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-11222-2-2-2-220000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-11222-2-2-2-2200002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4004400004-44-4-4-4400004-40000-40000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7244-4-4004400004-44-4-4-4400004-40000-400000000000000000000000000000000000000−2222−2222000000000000000000000000
χ734-44-44-44-244-4-4-4-4224-2-24-4-2222-2-222-24-224-4-22-40000000000-22-2200000000000000000000000000000000000000000000
χ744-44-44-44-2-4-444-4-4224-2-24-4-2222-2-222-2-42-2-442-2400000000002-22-200000000000000000000000000000000000000000000
χ754-44-44-4-2444-4-422-4-4-24-2-224-422-2-222-2-24-4-224-420000000000-22-2200000000000000000000000000000000000000000000
χ764-44-44-4-2-244-4-42222-2-21-22-22-1-111-1-11-2-22-22-22200000000001-11-13-3-333-3-33000000000000000000000000000000000000
χ774-44-44-4-2-244-4-42222-2-21-22-22-1-111-1-11-2-22-22-22200000000001-11-1-333-3-333-3000000000000000000000000000000000000
χ784-44-44-4-2-2-4-4442222-2-21-22-22-1-111-1-1122-22-22-2-200−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ794-44-44-4-2-2-4-4442222-2-21-22-22-1-111-1-1122-22-22-2-2002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ804-44-4-444-24-44-4-4-4224-2-2-442-22222-2-2-24-22-442-2-40000000000-222-200000000000000000000000000000000000000000000
χ814-44-4-444-2-44-44-4-4224-2-2-442-22222-2-2-2-42-24-4-22400000000002-2-2200000000000000000000000000000000000000000000
χ824-44-4-44-244-44-422-4-4-24-22-2-442222-2-2-2-24-42-2-4420000000000-222-200000000000000000000000000000000000000000000
χ834-44-4-44-2-24-44-42222-2-212-22-2-1-1-1-1111-2-222-22-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000
χ844-44-4-44-2-24-44-42222-2-212-22-2-1-1-1-1111-2-222-22-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000
χ854-44-4-44-2-2-44-442222-2-212-22-2-1-1-1-111122-2-22-22-200−2i32i3002i3−2i300-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ864-44-4-44-2-2-44-442222-2-212-22-2-1-1-1-111122-2-22-22-2002i3−2i300−2i32i300-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ874-4-4400440000-44-44-4-440000-440000-400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ884-4-4400440000-44-44-4-440000-440000-4000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
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
χ938-8-88008-40000-884-4-84-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-4-884-8-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-44-44420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-44-44420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000000

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