Finite Group Databasebeta

← Group #11772605

Character table — Group #11772605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444444444444488888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222336666662222344666666666666666666666666666666612121212121212124444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1
χ611111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111
χ711111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111
χ811111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1
χ91-11-11-111-1-1-1-1111-11-111-111-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−ii−i
χ101-11-11-111-1-1-1-1111-11-111-111-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−ii
χ111-11-11-111-1-1-1-1111-11-111-111-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−ii
χ121-11-11-111-1-1-1-1111-11-111-111-1-111-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111-1-111-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−ii−i
χ131-11-11-111-1-1-1-111-11-1111-111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iiii−i
χ141-11-11-111-1-1-1-111-11-1111-111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−ii
χ151-11-11-111-1-1-1-111-11-1111-111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−ii
χ161-11-11-111-1-1-1-111-11-1111-111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-111-1-1−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−i−iiii−i
χ17222222222222222-2-222-2-2222222-2-22222222-2-2222-22-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ1822222222222222-222-22-2-22222-2-222222222222-2-2-22-22-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000
χ192222222-122-1-12-12222-1222-12-122-1-1-1-1-1-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ202222222-122-1-12-12222-1222-12-122-1-1-1-1-1-1-1-1-1-1-122-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2-2-200001111111100000000000000
χ212222222-122-1-12-12-2-22-1-2-22-12-12211-1-1-1-1-1-1-11122-1-2-1-2-1-111-1-111-21-211111000000003−33−33−33−300000000000000
χ222222222-122-1-12-12-2-22-1-2-22-12-12211-1-1-1-1-1-1-11122-1-2-1-2-1-111-1-111-21-21111100000000−33−33−33−3300000000000000
χ232222222-122-1-12-1-222-2-1-2-22-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2121211-1-111-1-1-21-21111100000000−i3i3−i3i3i3−i3i3−i300000000000000
χ242222222-122-1-12-1-222-2-1-2-22-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2121211-1-111-1-1-21-21111100000000i3−i3i3−i3−i3i3−i3i300000000000000
χ252222222-122-1-12-1-2-2-2-2-1222-12-1-2-211-1-1-1-1-1-1-111-2-21-21-2111111112-12-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii00000000000000
χ262222222-122-1-12-1-2-2-2-2-1222-12-1-2-211-1-1-1-1-1-1-111-2-21-21-2111111112-12-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i00000000000000
χ27222222-12-1-122-122222-122-12-12-1-122-1-1-1-1-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ28222222-12-1-122-122222-122-12-12-1-122-1-1-1-1-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-12-12-1-1-1-10000-2-2-2-20000000011111111000000
χ29222222-12-1-122-122-2-22-1-2-2-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-1-12121-1-111-1-1111-21-211110000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ30222222-12-1-122-122-2-22-1-2-2-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-1-12121-1-111-1-1111-21-211110000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ31222222-12-1-122-12-222-2-1-2-2-12-121122-1-1-1-1-1-1-12211-2-1-2-111-1-111-1-11-21-2111100000000000000003−33−3−33−33000000
χ32222222-12-1-122-12-222-2-1-2-2-12-121122-1-1-1-1-1-1-12211-2-1-2-111-1-111-1-11-21-211110000000000000000−33−333−33−3000000
χ33222222-12-1-122-12-2-2-2-2-122-12-1211-2-2-1-1-1-1-1-1-1-2-211-21-2111111111-12-12-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000
χ34222222-12-1-122-12-2-2-2-2-122-12-1211-2-2-1-1-1-1-1-1-1-2-211-21-2111111111-12-12-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i000000
χ352-22-22-222-2-2-2-22222-2-22-2222-2-2222222-2-2-2-22-2-2-2-22-2-2222-2-2-2-222-2-222-2-222000000000000000000000000000000
χ362-22-22-222-2-2-2-222-2-2222-2222-2-2-2-2-2-222-2-2-2-222222-222-2-2-22222-2-2-2-222-2-222000000000000000000000000000000
χ372-22-22-22-1-2-2112-122-2-2-1-222-1-2122-1-1-1-11111-111-2-2-1-212-1-11111-1-1-212-111-1-1000000003−3−333−3−3300000000000000
χ382-22-22-22-1-2-2112-122-2-2-1-222-1-2122-1-1-1-11111-111-2-2-1-212-1-11111-1-1-212-111-1-100000000−333−3−333−300000000000000
χ392-22-22-22-1-2-2112-12-22-2-12-22-1-212211-1-11111-1-1-1-2-2-121-2-1-1-1-111112-1-21-1-1112-22-20000-1-111-1-11100000000000000
χ402-22-22-22-1-2-2112-12-22-2-12-22-1-212211-1-11111-1-1-1-2-2-121-2-1-1-1-111112-1-21-1-111-22-22000011-1-111-1-100000000000000
χ412-22-22-22-1-2-2112-1-22-22-12-22-1-21-2-2-1-1-1-11111-111221-2-121111-1-1-1-12-1-21-1-1112i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ422-22-22-22-1-2-2112-1-22-22-12-22-1-21-2-2-1-1-1-11111-111221-2-121111-1-1-1-12-1-21-1-111−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ432-22-22-22-1-2-2112-1-2-222-1-222-1-21-2-211-1-11111-1-1-12212-1-211-1-1-1-111-212-111-1-100000000−i3i3i3−i3i3−i3−i3i300000000000000
χ442-22-22-22-1-2-2112-1-2-222-1-222-1-21-2-211-1-11111-1-1-12212-1-211-1-1-1-111-212-111-1-100000000i3−i3−i3i3−i3i3i3−i300000000000000
χ452-22-22-2-1211-2-2-1222-2-2-1-22-121-2-1-122-1-11111-1-2-21121-2-1-1-11111-1-11-2-1211-1-100000000000000003−3−333−3−33000000
χ462-22-22-2-1211-2-2-1222-2-2-1-22-121-2-1-122-1-11111-1-2-21121-2-1-1-11111-1-11-2-1211-1-10000000000000000−333−3−333−3000000
χ472-22-22-2-1211-2-2-122-22-2-12-2-121-2-1-1-2-2-1-11111-122112-1-21-1-1-1-11111-121-2-1-11100002i−2i2i−2i00000000−i−iii−i−iii000000
χ482-22-22-2-1211-2-2-122-22-2-12-2-121-2-1-1-2-2-1-11111-122112-1-21-1-1-1-11111-121-2-1-1110000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ492-22-22-2-1211-2-2-12-22-22-12-2-121-21122-1-11111-1-2-2-1-1-212-11111-1-1-1-1-121-2-1-11100002-2-2200000000-1-11111-1-1000000
χ502-22-22-2-1211-2-2-12-22-22-12-2-121-21122-1-11111-1-2-2-1-1-212-11111-1-1-1-1-121-2-1-1110000-222-20000000011-1-1-1-111000000
χ512-22-22-2-1211-2-2-12-2-222-1-22-121-211-2-2-1-11111-122-1-1-2-12111-1-1-1-1111-2-1211-1-10000000000000000−i3i3i3−i3i3−i3−i3i3000000
χ522-22-22-2-1211-2-2-12-2-222-1-22-121-211-2-2-1-11111-122-1-1-2-12111-1-1-1-1111-2-1211-1-10000000000000000i3−i3−i3i3−i3i3i3−i3000000
χ53444444-2-2-2-2-2-2-2-24444144-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2-2-211111111-2-2-2-21111000000000000000000000000000000
χ54444444-2-2-2-2-2-2-2-24-4-441-4-4-2-2-2-2-2-222111111122-2-2-22-2211-1-111-1-12222-1-1-1-1000000000000000000000000000000
χ55444444-2-2-2-2-2-2-2-2-444-41-4-4-2-2-2-222-2-21111111-2-2222-22-2-1-111-1-1112222-1-1-1-1000000000000000000000000000000
χ56444444-2-2-2-2-2-2-2-2-4-4-4-4144-2-2-2-22222111111122222222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ574444-4-4444444440000400-4-4-4-40000-4-444-4-44000000000000000000000000000000000000000000000000000000
χ584444-4-44-244-2-24-20000-200-42-4200−2i32i322-2-222-2−2i32i300000000−2i32i300−2i32i300000000000000000000000000000000000000
χ594444-4-44-244-2-24-20000-200-42-42002i3−2i322-2-222-22i3−2i3000000002i3−2i3002i3−2i300000000000000000000000000000000000000
χ604444-4-4-24-2-244-240000-2002-42-4−2i32i30022-2-222-200−2i32i30000−2i32i300−2i32i30000000000000000000000000000000000000000
χ614444-4-4-24-2-244-240000-2002-42-42i3−2i30022-2-222-2002i3−2i300002i3−2i3002i3−2i30000000000000000000000000000000000000000
χ624444-4-4-2-2-2-2-2-2-2-200001002222−2i32i3−2i32i3-1-111-1-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i300003-33-3000000000000000000000000000000
χ634444-4-4-2-2-2-2-2-2-2-200001002222−2i32i32i3−2i3-1-111-1-112i3−2i3−2i32i30000i3−i3−i3i3i3−i3−i3i30000-33-33000000000000000000000000000000
χ644444-4-4-2-2-2-2-2-2-2-2000010022222i3−2i3−2i32i3-1-111-1-11−2i32i32i3−2i30000−i3i3i3−i3−i3i3i3−i30000-33-33000000000000000000000000000000
χ654444-4-4-2-2-2-2-2-2-2-2000010022222i3−2i32i3−2i3-1-111-1-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300003-33-3000000000000000000000000000000
χ6644-4-400444-44-4-4-4000040000000000004-400-40000000000000000000000000000000000000000000000002i−2i2i−2i00
χ6744-4-400444-44-4-4-4000040000000000004-400-4000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ684-44-44-4-2-22222-2-244-4-41-44-2-222-2-2-2-211-1-1-1-112222-222-211-1-1-1-11122-2-2-1-111000000000000000000000000000000
χ694-44-44-4-2-22222-2-24-44-414-4-2-222-2-22211-1-1-1-11-2-222-2-2221111-1-1-1-1-2-22211-1-1000000000000000000000000000000
χ704-44-44-4-2-22222-2-2-44-4414-4-2-22222-2-211-1-1-1-1122-2-222-2-2-1-1-1-11111-2-22211-1-1000000000000000000000000000000
χ714-44-44-4-2-22222-2-2-4-4441-44-2-222222211-1-1-1-11-2-2-2-22-2-22-1-11111-1-122-2-2-1-111000000000000000000000000000000
χ724-44-4-4444-4-4-4-4440000400-4-4440000-4-4-4-4444000000000000000000000000000000000000000000000000000000
χ734-44-4-444-2-4-4224-20000-200-424-200−2i32i32222-2-2-22i3−2i3000000002i3−2i300−2i32i300000000000000000000000000000000000000
χ744-44-4-444-2-4-4224-20000-200-424-2002i3−2i32222-2-2-2−2i32i300000000−2i32i3002i3−2i300000000000000000000000000000000000000
χ754-44-4-44-2422-4-4-240000-2002-4-24−2i32i3002222-2-2-2002i3−2i30000−2i32i3002i3−2i30000000000000000000000000000000000000000
χ764-44-4-44-2422-4-4-240000-2002-4-242i3−2i3002222-2-2-200−2i32i300002i3−2i300−2i32i30000000000000000000000000000000000000000
χ774-44-4-44-2-22222-2-2000010022-2-2−2i32i3−2i32i3-1-1-1-11112i3−2i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000-333-3000000000000000000000000000000
χ784-44-4-44-2-22222-2-2000010022-2-2−2i32i32i3−2i3-1-1-1-1111−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i300003-3-33000000000000000000000000000000
χ794-44-4-44-2-22222-2-2000010022-2-22i3−2i3−2i32i3-1-1-1-11112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i300003-3-33000000000000000000000000000000
χ804-44-4-44-2-22222-2-2000010022-2-22i3−2i32i3−2i3-1-1-1-1111−2i32i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000-333-3000000000000000000000000000000
χ814-4-440044-44-44-4-400004000000000000-4400-40000000000000000000000000000000000000000000000002-2-2200
χ824-4-440044-44-44-4-400004000000000000-4400-4000000000000000000000000000000000000000000000000-222-200
χ8388-8-8008-48-8-44-840000-4000000000000-44004000000000000000000000000000000000000000000000000000000
χ8488-8-800-48-448-84-80000-4000000000000-44004000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-4-44-44440000200000000006-62-26-6-2000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-4-44-4444000020000000000-662-2-66-2000000000000000000000000000000000000000000000000000000
χ878-8-88008-4-884-4-840000-40000000000004-4004000000000000000000000000000000000000000000000000000000
χ888-8-8800-484-4-884-80000-40000000000004-4004000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-44-44-4440000200000000006-6-22-66-2000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-44-44-444000020000000000-66-226-6-2000000000000000000000000000000000000000000000000000000

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