Finite Group Databasebeta

← Group #11787741

Character table — Group #11787741

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666666612121212121212122266666666666666661212121222444444668888121212121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ91-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-111-111-1-111-1-11111-1-1-1-111-1-11-1i−i1-1i−i1-11-1i−iii−i−i1-111-1-1ii−i−iii−i−iii−i−i
χ101-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-111-111-1-111-1-11111-1-1-1-111-1-11-1−ii1-1−ii1-11-1−ii−i−iii1-111-1-1−i−iii−i−iii−i−iii
χ111-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-111-111-1-111-1-11111-1-1-1-111-1-1-11i−i-11i−i-11-11i−iii−i−i-11-1-111ii−i−i−i−iii−i−iii
χ121-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-111-111-1-111-1-11111-1-1-1-111-1-1-11−ii-11−ii-11-11−ii−i−iii-11-1-111−i−iiiii−i−iii−i−i
χ131-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-11-11-1-111-1-111-1-1-1-1111111-1-11-1i−i1-1i−i1-1-11−iiii−i−i1-1-1-111−i−iiiii−i−i−i−iii
χ141-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-11-11-1-111-1-111-1-1-1-1111111-1-11-1−ii1-1−ii1-1-11i−i−i−iii1-1-1-111ii−i−i−i−iiiii−i−i
χ151-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-11-11-1-111-1-111-1-1-1-1111111-1-1-11i−i-11i−i-111-1−iiii−i−i-1111-1-1−i−iii−i−iiiii−i−i
χ161-11-11-1111-11-1-1-11-1-1111-11-111-1-1-1-1111-11-1-1-11-11-1-111-1-111-1-1-1-1111111-1-1-11−ii-11−ii-111-1i−i−i−iii-1111-1-1ii−i−iii−i−i−i−iii
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000002-22-20000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000-22-220000
χ192222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-122000000-1-1-1-1-1-1000000000000
χ202222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011-2-2000000111111000000000000
χ212222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-122002200-1-1-2-2000000-1-11111000000000000
χ222222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-1-2-200-2-200112200000011-1-1-1-1000000000000
χ23222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022000022-1-1-1-1000000-1-1-1-100000000
χ24222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000-2-21111000000111100000000
χ25222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-1002200220000-2-2-1-1-1-1000000111100000000
χ26222222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-100-2-200-2-20000221111000000-1-1-1-100000000
χ272222-2-2222-2-222222222-2-2-2-2-2-222-2-222-2-222-22-20000000000000000002-22-2002200-2-20000002-22-2000000000000000000
χ282222-2-2222-2-222222222-2-2-2-2-2-222-2-222-2-222-22-20000000000000000002-22-200-2-20022000000-22-22000000000000000000
χ292222-2-222-222-22222222-2-2-2-2-2-222-2-22-222-2-22-22000000000000000000-22-222200-2-2002200000000-2-20000000000000000
χ302222-2-222-222-22222222-2-2-2-2-2-222-2-22-222-2-22-22000000000000000000-22-22-2-2002200-2-200000000220000000000000000
χ312222-2-22-1-222-2-1-1222-1-1-2-21111-1-111-1-22211-1-2-1000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31-11-12200-2-200-1-10000000011−i3i3−i3i3000000000000
χ322222-2-22-1-222-2-1-1222-1-1-2-21111-1-111-1-22211-1-2-1000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31-11-1-2-20022001100000000-1-1i3−i3i3−i3000000000000
χ332222-2-22-1-222-2-1-1222-1-1-2-21111-1-111-1-22211-1-2-1000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31-11-12200-2-200-1-10000000011i3−i3i3−i3000000000000
χ342222-2-22-1-222-2-1-1222-1-1-2-21111-1-111-1-22211-1-2-1000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31-11-1-2-20022001100000000-1-1−i3i3−i3i3000000000000
χ352222-2-2-122-2-2222-1-1-12-111-2-211-1-111-1-11122-2-1-200−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-11002200-2-2000000-11-11000000−i3i3−i3i300000000
χ362222-2-2-122-2-2222-1-1-12-111-2-211-1-111-1-11122-2-1-200−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-1100-2-200220000001-11-1000000i3−i3i3−i300000000
χ372222-2-2-122-2-2222-1-1-12-111-2-211-1-111-1-11122-2-1-200i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-11002200-2-2000000-11-11000000i3−i3i3−i300000000
χ382222-2-2-122-2-2222-1-1-12-111-2-211-1-111-1-11122-2-1-200i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-1100-2-200220000001-11-1000000−i3i3−i3i300000000
χ392-22-22-222-22-22-2-22-2-2222-22-222-2-2-2-22-2-22-2222-2000000000000000000-2-22200000000000000000000000000002i−2i−2i2i0000
χ402-22-22-222-22-22-2-22-2-2222-22-222-2-2-2-22-2-22-2222-2000000000000000000-2-2220000000000000000000000000000−2i2i2i−2i0000
χ412-22-22-22-12-22-2112-2-2-1-12-2-11-1-11111-122-2-111-2-12-222-2-2-1-111-1-1-1-11111-1-1112-2002-200-112-2000000-11-1-111000000000000
χ422-22-22-22-12-22-2112-2-2-1-12-2-11-1-11111-122-2-111-2-12-222-2-2-1-111-1-1-1-11111-1-111-2200-22001-1-220000001-111-1-1000000000000
χ432-22-22-22-12-22-2112-2-2-1-12-2-11-1-11111-122-2-111-2-1-22-2-22211-1-11111-1-1-1-1-1-1112-2002-200-11-22000000-1111-1-1000000000000
χ442-22-22-22-12-22-2112-2-2-1-12-2-11-1-11111-122-2-111-2-1-22-2-22211-1-11111-1-1-1-1-1-111-2200-22001-12-20000001-1-1-111000000000000
χ452-22-22-2-122-22-2-2-2-1112-1-112-2-1-11111-1-1-112-2-2122-2-1-11122-2-2-1-1-1-11111-1-111002i−2i002i−2i00002i−2i−i−iii000000−i−iii00000000
χ462-22-22-2-122-22-2-2-2-1112-1-112-2-1-11111-1-1-112-2-2122-2-1-11122-2-2-1-1-1-11111-1-11100−2i2i00−2i2i0000−2i2iii−i−i000000ii−i−i00000000
χ472-22-22-2-122-22-2-2-2-1112-1-112-2-1-11111-1-1-112-2-212-2211-1-1-2-2221111-1-1-1-1-1-111002i−2i002i−2i0000−2i2i−i−iii000000ii−i−i00000000
χ482-22-22-2-122-22-2-2-2-1112-1-112-2-1-11111-1-1-112-2-212-2211-1-1-2-2221111-1-1-1-1-1-11100−2i2i00−2i2i00002i−2iii−i−i000000−i−iii00000000
χ492-22-2-222222-2-2-2-22-2-222-22-22-2-2-2-22222-222-22-2-20000000000000000002-2-22002i−2i00−2i2i0000002i−2i−2i2i000000000000000000
χ502-22-2-222222-2-2-2-22-2-222-22-22-2-2-2-22222-222-22-2-20000000000000000002-2-2200−2i2i002i−2i000000−2i2i2i−2i000000000000000000
χ512-22-2-2222-2-222-2-22-2-222-22-22-2-2-2-2222-22-2-22-222000000000000000000-222-22-200-22002-200000000-220000000000000000
χ522-22-2-2222-2-222-2-22-2-222-22-22-2-2-2-2222-22-2-22-222000000000000000000-222-2-22002-200-22000000002-20000000000000000
χ532-22-2-222-1-2-222112-2-2-1-1-221-11111-1-1-1-22-21-112-1000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i31-1-112-200-2200-11000000001-1−i3i3i3−i3000000000000
χ542-22-2-222-1-2-222112-2-2-1-1-221-11111-1-1-1-22-21-112-1000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i31-1-11-22002-2001-100000000-11i3−i3−i3i3000000000000
χ552-22-2-222-1-2-222112-2-2-1-1-221-11111-1-1-1-22-21-112-1000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i31-1-112-200-2200-11000000001-1i3−i3−i3i3000000000000
χ562-22-2-222-1-2-222112-2-2-1-1-221-11111-1-1-1-22-21-112-1000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i31-1-11-22002-2001-100000000-11−i3i3i3−i3000000000000
χ572-22-2-22-1222-2-2-2-2-1112-11-1-221111-1-1-1-11-12-221-200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-1002i−2i00−2i2i000000−iii−i0000003−3−3300000000
χ582-22-2-22-1222-2-2-2-2-1112-11-1-221111-1-1-1-11-12-221-200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-100−2i2i002i−2i000000i−i−ii000000−333−300000000
χ592-22-2-22-1222-2-2-2-2-1112-11-1-221111-1-1-1-11-12-221-200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-111-1002i−2i00−2i2i000000−iii−i000000−333−300000000
χ602-22-2-22-1222-2-2-2-2-1112-11-1-221111-1-1-1-11-12-221-200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-111-100−2i2i002i−2i000000i−i−ii0000003−3−3300000000
χ614444444-2-4-4-4-4-2-2444-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000000000002222000000000000000000000000000000000000
χ62444444-24-4-4-4-444-2-2-24-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000000000002222000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200000000003-3-333-3-33-1-1-1-1000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-333-3-333-3-1-1-1-1000000000000000000000000000000000000
χ674444-4-44-24-4-44-2-2444-2-2-4-42222-2-222-24-4-4-2-2242000000000000000000-22-22000000000000000000000000000000000000
χ684444-4-4-24-444-444-2-2-24-222-4-422-2-222-22-2-2-4-44240000000000000000002-22-2000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222-1-111-1-11-222-2-22-2200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222-1-111-1-11-222-2-22-22002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-212222-1-111-1-112-2-222-22-2000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3-11-11000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-212222-1-111-1-112-2-222-22-20000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3-11-11000000000000000000000000000000000000
χ7344-4-4004400004-4-44-4-440000004-400-4000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ7444-4-4004400004-4-44-4-440000004-400-400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ754-44-44-44-2-44-44224-4-4-2-24-4-22-2-22222-2-4-442-2-24200000000000000000022-2-2000000000000000000000000000000000000
χ764-44-44-4-24-44-44-4-4-2224-2-224-4-2-22222-222-2-444-2-400000000000000000022-2-2000000000000000000000000000000000000
χ774-44-44-4-2-24-44-422-222-21-22-2211-1-1-1-11-2-22-2222-24-4-2-222-2-2221111-1-1-1-111-1-1000000000000000000000000000000000000
χ784-44-44-4-2-24-44-422-222-21-22-2211-1-1-1-11-2-22-2222-2-4422-2-222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000
χ794-44-44-4-2-2-44-4422-222-21-22-2211-1-1-1-1122-22-2-2-2200000000003-3-33-333-3-1-111000000000000000000000000000000000000
χ804-44-44-4-2-2-44-4422-222-21-22-2211-1-1-1-1122-22-2-2-220000000000-333-33-3-33-1-111000000000000000000000000000000000000
χ814-44-4-444-244-4-4224-4-4-2-2-442-22222-2-2-24-44-22-2-42000000000000000000-222-2000000000000000000000000000000000000
χ824-44-4-44-24-4-444-4-4-2224-22-2-442222-2-2-22-22-44-4-240000000000000000002-2-22000000000000000000000000000000000000
χ834-44-4-44-2-244-4-422-222-212-22-2-1-1-1-1111-22-2-22-22200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000
χ844-44-4-44-2-244-4-422-222-212-22-2-1-1-1-1111-22-2-22-222002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000
χ854-44-4-44-2-2-4-44422-222-212-22-2-1-1-1-11112-222-22-2-2000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-111-1000000000000000000000000000000000000
χ864-44-4-44-2-2-4-44422-222-212-22-2-1-1-1-11112-222-22-2-20000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-111-1000000000000000000000000000000000000
χ874-4-4400440000-44-4-44-44000000-4400-4000000000000000000000000000000000000000000000000000000000000002-2-22
χ884-4-4400440000-44-4-44-44000000-4400-400000000000000000000000000000000000000000000000000000000000000-222-2
χ8988-8-8008-40000-44-88-84-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800008-84-44-8-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-444-444200006-62-26-6-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-44420000-662-2-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400004-4-8-884-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-8844-4-8-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-44200006-6-22-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-4420000-66-226-6-2000000000000000000000000000000000000000000000000000000000000000000

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