Finite Group Databasebeta

← Group #11866199

Character table — Group #11866199

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666666612121212121212122266666666666666661212121244444444246688121212121212121212122424242422228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1111-111-1-111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1111-111-1111-1-1-1-111-1-1-1-111-1-111-1-111
χ111111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-1-11-1-1-11111-1-11111-1-1-1-111-1-111
χ121111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-11-1-1-11-1-111-1-11111-1-11111-1-111-1-1
χ131111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11-1-1-1111-1-111-1-111-1-11111-1-1-1-111
χ141111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-11-1-11-111-1-1-1-1111111-1-1-1-11111-1-1
χ151111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-11-111-11-1-11111-1-1-1-1-1-111-1-11111-1-1
χ161111-1-1111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111-1111-1-1-111-1-111-1-111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22-22-200000000002-22-2000000000000000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-22-220000000000-22-22000000000000000000
χ192222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-100-1-1-1-10000-1-1000000000000
χ202222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211001111000011000000000000
χ212222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2111111111111-1-1-1-122220000-2-21100-1-1-1-1000011000000000000
χ222222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-2000022-1-10011110000-1-1000000000000
χ232222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i311112-22-2000000−i3i300-11-110000−i3i3000000000000
χ242222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31111-22-22000000i3−i3001-11-10000i3−i3000000000000
χ252222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i311112-22-2000000i3−i300-11-110000i3−i3000000000000
χ262222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111-22-22000000−i3i3001-11-10000−i3i3000000000000
χ27222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000220000-1-1-1-100-1-1-1-100000000
χ28222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000111100111100000000
χ29222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-211111111-1-1-1-1000022220000-2-20000-1-1-1-100111100000000
χ30222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-20000220000111100-1-1-1-100000000
χ312222-2-222-222-22222222-2-2-2-222-2-2-2-22-222-2-222-2000000000000000000-2-2222-2-2200000000002-2-22000000000000000000
χ322222-2-222-222-22222222-2-2-2-222-2-2-2-22-222-2-222-2000000000000000000-2-222-222-20000000000-222-2000000000000000000
χ332222-2-22-12-2-22222-1-1-1-1-2-211-1-11111-12-2-2-1-11122-222-2-2-1-111-1-1-1-11111-1-11122-2-200002-2-1-100-1-111000011000000000000
χ342222-2-22-12-2-22222-1-1-1-1-2-211-1-11111-12-2-2-1-11122-222-2-2-1-111-1-1-1-11111-1-111-2-2220000-22110011-1-10000-1-1000000000000
χ352222-2-22-12-2-22222-1-1-1-1-2-211-1-11111-12-2-2-1-1112-22-2-22211-1-11111-1-1-1-1-1-11122-2-20000-221100-1-1110000-1-1000000000000
χ362222-2-22-12-2-22222-1-1-1-1-2-211-1-11111-12-2-2-1-1112-22-2-22211-1-11111-1-1-1-1-1-111-2-22200002-2-1-10011-1-1000011000000000000
χ372222-2-22-1-222-2222-1-1-1-1-2-211-1-11111-1-22211-1-1-2000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i311-1-12-2-22000000−i3i300-111-10000i3−i3000000000000
χ382222-2-22-1-222-2222-1-1-1-1-2-211-1-11111-1-22211-1-1-2000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i311-1-1-222-2000000i3−i3001-1-110000−i3i3000000000000
χ392222-2-22-1-222-2222-1-1-1-1-2-211-1-11111-1-22211-1-1-2000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i311-1-12-2-22000000i3−i300-111-10000−i3i3000000000000
χ402222-2-22-1-222-2222-1-1-1-1-2-211-1-11111-1-22211-1-1-2000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i311-1-1-222-2000000−i3i3001-1-110000i3−i3000000000000
χ412222-2-2-122-2-22-1-1-1222-111-2-2-1-11111-1-11122-2-2-12-2-1-11122-2-2-1-1-1-11111-1-111000022-2-200002-20000-1-11100-1-11100000000
χ422222-2-2-122-2-22-1-1-1222-111-2-2-1-11111-1-11122-2-2-12-2-1-11122-2-2-1-1-1-11111-1-1110000-2-2220000-22000011-1-10011-1-100000000
χ432222-2-2-122-2-22-1-1-1222-111-2-2-1-11111-1-11122-2-2-1-2211-1-1-2-2221111-1-1-1-1-1-111000022-2-20000-220000-1-1110011-1-100000000
χ442222-2-2-122-2-22-1-1-1222-111-2-2-1-11111-1-11122-2-2-1-2211-1-1-2-2221111-1-1-1-1-1-1110000-2-22200002-2000011-1-100-1-11100000000
χ4522-2-22-22222-2-22-2-2-2-2222-22-2-2-222-2-2222-22-22-2-20000000000000000002-22-200002i−2i2i−2i00000000002i−2i2i−2i00000000000000
χ4622-2-22-22222-2-22-2-2-2-2222-22-2-2-222-2-2222-22-22-2-20000000000000000002-22-20000−2i2i−2i2i0000000000−2i2i−2i2i00000000000000
χ4722-2-22-222-2-2222-2-2-2-2222-22-2-2-222-2-22-2-22-22-222000000000000000000-22-2200000000000000000000000000002-22-20000
χ4822-2-22-222-2-2222-2-2-2-2222-22-2-2-222-2-22-2-22-22-222000000000000000000-22-220000000000000000000000000000-22-220000
χ4922-2-22-2-1222-2-2-111-2-22-1-112-211-1-111-1-1-112-22-2100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-1100002i−2i2i−2i0000000000−ii−ii003−33−300000000
χ5022-2-22-2-1222-2-2-111-2-22-1-112-211-1-111-1-1-112-22-2100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000−2i2i−2i2i0000000000i−ii−i00−33−3300000000
χ5122-2-22-2-1222-2-2-111-2-22-1-112-211-1-111-1-1-112-22-2100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-1100002i−2i2i−2i0000000000−ii−ii00−33−3300000000
χ5222-2-22-2-1222-2-2-111-2-22-1-112-211-1-111-1-1-112-22-2100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000−2i2i−2i2i0000000000i−ii−i003−33−300000000
χ5322-2-2-22222-22-22-2-2-2-222-22-22-2-2-2-22222-222-2-22-20000000000000000002-2-2200002i−2i−2i2i00000000002i−2i−2i2i00000000000000
χ5422-2-2-22222-22-22-2-2-2-222-22-22-2-2-2-22222-222-2-22-20000000000000000002-2-220000−2i2i2i−2i0000000000−2i2i2i−2i00000000000000
χ5522-2-2-2222-22-222-2-2-2-222-22-22-2-2-2-2222-22-2-222-22000000000000000000-222-200000000000000000000000000002-2-220000
χ5622-2-2-2222-22-222-2-2-2-222-22-22-2-2-2-2222-22-2-222-22000000000000000000-222-20000000000000000000000000000-222-20000
χ5722-2-2-22-122-22-2-111-2-22-11-1-221111-1-1-1-11-12-2-22100−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-100002i−2i−2i2i0000000000−iii−i003−3−3300000000
χ5822-2-2-22-122-22-2-111-2-22-11-1-221111-1-1-1-11-12-2-22100−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-111-10000−2i2i2i−2i0000000000i−i−ii00−333−300000000
χ5922-2-2-22-122-22-2-111-2-22-11-1-221111-1-1-1-11-12-2-22100i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-111-100002i−2i−2i2i0000000000−iii−i00−333−300000000
χ6022-2-2-22-122-22-2-111-2-22-11-1-221111-1-1-1-11-12-2-22100i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-111-10000−2i2i2i−2i0000000000i−i−ii003−3−3300000000
χ61444444-24-4-4-4-4-2-2-2444-2-2-244-2-2-2-2-2-2-2222-4-4-4-420000000000000000002222000000000000000000000000000000000000
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
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1000000000000000000000000000000000000
χ664444-4-4-24-444-4-2-2-2444-222-4-4-2-22222-22-2-2-4-444200000000000000000022-2-2000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-222-2-222-24-4-2-222-2-2221111-1-1-1-111-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-21222211-1-1-1-11-222-2-222-2-4422-2-222-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-112-2-222-2-22000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i3-1-111000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-21222211-1-1-1-112-2-222-2-220000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i3-1-111000000000000000000000000000000000000
χ7144-4-44-44-244-4-44-4-422-2-24-4-2222-2-222-244-4-22-22-4000000000000000000-22-22000000000000000000000000000000000000
χ7244-4-44-44-2-4-4444-4-422-2-24-4-2222-2-222-2-4-442-22-240000000000000000002-22-2000000000000000000000000000000000000
χ7344-4-44-4-24-4-444-222-4-44-2-224-422-2-222-222-2-44-44-20000000000000000002-22-2000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4-22222-21-22-22-1-111-1-11-2-22-22-22200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-22222-21-22-22-1-111-1-11-2-22-22-222002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444-22222-21-22-22-1-111-1-1122-22-22-2-200000000003-3-333-3-33-11-11000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-22222-21-22-22-1-111-1-1122-22-22-2-20000000000-333-3-333-3-11-11000000000000000000000000000000000000
χ7844-4-4-444-24-44-44-4-422-2-2-442-22222-2-2-24-44-222-2-4000000000000000000-222-2000000000000000000000000000000000000
χ7944-4-4-444-2-44-444-4-422-2-2-442-22222-2-2-2-44-42-2-2240000000000000000002-2-22000000000000000000000000000000000000
χ8044-4-4-44-24-44-44-222-4-44-22-2-442222-2-2-22-22-444-4-20000000000000000002-2-22000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-22222-212-22-2-1-1-1-1111-22-2-222-2200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-22222-212-22-2-1-1-1-1111-22-2-222-22002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-22222-212-22-2-1-1-1-11112-222-2-22-200000000003-3-33-333-3-111-1000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-22222-212-22-2-1-1-1-11112-222-2-22-20000000000-333-33-3-33-111-1000000000000000000000000000000000000
χ854-44-400440000-44-44-4-4400004-40000-40000000000000000000000000000000000000000000000000000000000000022−2200
χ864-44-400440000-44-44-4-4400004-40000-400000000000000000000000000000000000000000000000000000000000000−222200
χ874-4-4400440000-4-44-44-440000-440000-4000000000000000000000000000000000000000000000000000000000000000022−22
χ884-4-4400440000-4-44-44-440000-440000-40000000000000000000000000000000000000000000000000000000000000000−2222
χ898-88-8008-40000-88-8-444-40000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-448-8-8-40000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-400004-44-444200002-26-66-6-2000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-44-444200002-2-66-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-884-44-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48000044-4-88-8-400004-400004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-44-4420000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-44-4420000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000000

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