Finite Group Databasebeta

← Group #11787084

Character table — Group #11787084

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222222223366666636666666666666666666446666121212121212121212121212121212124444444444441212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−ii−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-11-11-1ii−i−i
χ101-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-11-11−i−iii
χ111-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-11-11−i−iii
χ121-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−ii−ii−ii-11-11−i−iii−i−iii-1-111-1-1111-11-1ii−i−i
χ131-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−ii−ii−ii−i-11-11ii−i−iii−i−i-1-111-1-1111-11-1−i−iii
χ141-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-11-11ii−i−i
χ151-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-11-11ii−i−i
χ161-11-11-1-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-11-11-1−i−iii
χ1722222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10022002200220000-1-1-1-10000-1-1-1-100000000
χ1822222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200-2-2000011110000111100000000
χ1922222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110022002200-2-20000-1-1-1-10000111100000000
χ2022222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-211111100-2-200-2-20022000011110000-1-1-1-100000000
χ212222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220022002200-1-1-1-10000-1-1-1-1000000000000
χ222222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-200111100001111000000000000
χ232222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-2111122002200-2-200-1-1-1-100001111000000000000
χ242222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-200-2-200220011110000-1-1-1-1000000000000
χ2522222-2-22-2-22222222222-22-2-2-2-2-2222222222-2-200-2-2-2-20000000000000000000000000000000000000000000022-2-20000
χ2622222-2-22-2-22222222222-22-2-2-2-2-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-2-2220000
χ272222-22-2-22-2222222222-22-2-22-22-22-2-222-2-2-2-2-22002-22-200000000000000002200-2-20000002-22-200000000000000000000
χ282222-22-2-22-2222222222-22-2-22-22-22-2-222-2-2-2-2-22002-22-20000000000000000-2-20022000000-22-2200000000000000000000
χ292222-22-2-22-2-12-12-1-122-11-1-2-2-112-2-111-1-11-2111200-11-113−30033−3−33−30033−3−32200-2-2000000-11-1100003−33−3000000000000
χ302222-22-2-22-2-12-12-1-122-11-1-2-2-112-2-111-1-11-2111200-11-113−30033−3−33−30033−3−3-2-200220000001-11-10000−33−33000000000000
χ312222-22-2-22-2-12-12-1-122-11-1-2-2-112-2-111-1-11-2111200-11-11−3300−3−333−3300−3−3332200-2-2000000-11-110000−33−33000000000000
χ322222-22-2-22-2-12-12-1-122-11-1-2-2-112-2-111-1-11-2111200-11-11−3300−3−333−3300−3−333-2-200220000001-11-100003−33−3000000000000
χ332222-2-22-2-22222222222-2-2-22-22-222-2-222-2-2-2-22-200-22-220000000000000000002200-2-2000000002-22-20000000000000000
χ342222-2-22-2-22222222222-2-2-22-22-222-2-222-2-2-2-22-200-22-22000000000000000000-2-2002200000000-22-220000000000000000
χ352222-2-22-2-222-12-122-1-1-1-2-21-1-221-1-111-1-1-211121001-11-1003−33−33−3003−33−33−3002200-2-200000000-11-1100003−33−300000000
χ362222-2-22-2-222-12-122-1-1-1-2-21-1-221-1-111-1-1-211121001-11-1003−33−33−3003−33−33−300-2-20022000000001-11-10000−33−3300000000
χ372222-2-22-2-222-12-122-1-1-1-2-21-1-221-1-111-1-1-211121001-11-100−33−33−3300−33−33−33002200-2-200000000-11-110000−33−3300000000
χ382222-2-22-2-222-12-122-1-1-1-2-21-1-221-1-111-1-1-211121001-11-100−33−33−3300−33−33−3300-2-20022000000001-11-100003−33−300000000
χ392-22-2222-2-2-22222-2-2-2-222-22-22222222-2-2-2-2-2-2-2-200-2-222000000000000000000000000000000000000000000002-2-220000
χ402-22-2222-2-2-22222-2-2-2-222-22-22222222-2-2-2-2-2-2-2-200-2-22200000000000000000000000000000000000000000000-222-20000
χ412-22-22-2-2-2222-12-1-2-211-122-1-1-2-211-1-1-111-21112-12i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii002i−2i002i−2i002-20000−i−iii0000-1-11100000000
χ422-22-22-2-2-2222-12-1-2-211-122-1-1-2-211-1-1-111-21112-12i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00−2i2i00−2i2i00-220000ii−i−i000011-1-100000000
χ432-22-22-2-2-2222-12-1-2-211-122-1-1-2-211-1-1-111-21112-1−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i002i−2i002i−2i00-220000−i−iii000011-1-100000000
χ442-22-22-2-2-2222-12-1-2-211-122-1-1-2-211-1-1-111-21112-1−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00−2i2i00−2i2i002-20000ii−i−i0000-1-11100000000
χ452-22-22-2-2-222-12-1211-2-2-1-1-12211-2-2-1-1-1111-211-122i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii2i−2i002i−2i002-200−i−iii0000-1-111000000000000
χ462-22-22-2-2-222-12-1211-2-2-1-1-12211-2-2-1-1-1111-211-122i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii−2i2i00−2i2i00-2200ii−i−i000011-1-1000000000000
χ472-22-22-2-2-222-12-1211-2-2-1-1-12211-2-2-1-1-1111-211-12−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i2i−2i002i−2i00-2200−i−iii000011-1-1000000000000
χ482-22-22-2-2-222-12-1211-2-2-1-1-12211-2-2-1-1-1111-211-12−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i2i00−2i2i002-200ii−i−i0000-1-111000000000000
χ492-22-2-22-22-222222-2-2-2-22-2-2-222-22-22-2-2-2-222222-200-222-20000000000000000002i−2i00−2i2i000000002i−2i−2i2i0000000000000000
χ502-22-2-22-22-222222-2-2-2-22-2-2-222-22-22-2-2-2-222222-200-222-2000000000000000000−2i2i002i−2i00000000−2i2i2i−2i0000000000000000
χ512-22-2-22-22-222-12-1-2-211-1-2-21-12-2-11-111112-1-1-121001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3002i−2i00−2i2i00000000−iii−i0000−333−300000000
χ522-22-2-22-22-222-12-1-2-211-1-2-21-12-2-11-111112-1-1-121001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300−2i2i002i−2i00000000i−i−ii00003−3−3300000000
χ532-22-2-22-22-222-12-1-2-211-1-2-21-12-2-11-111112-1-1-121001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3002i−2i00−2i2i00000000−iii−i00003−3−3300000000
χ542-22-2-22-22-222-12-1-2-211-1-2-21-12-2-11-111112-1-1-121001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300−2i2i002i−2i00000000i−i−ii0000−333−300000000
χ552-22-2-2-2222-22222-2-2-2-22-22-2-2-22-222-2-2-2-22222-22002-2-2200000000000000002i−2i00−2i2i0000002i−2i−2i2i00000000000000000000
χ562-22-2-2-2222-22222-2-2-2-22-22-2-2-22-222-2-2-2-22222-22002-2-220000000000000000−2i2i002i−2i000000−2i2i2i−2i00000000000000000000
χ572-22-2-2-2222-2-12-1211-2-2-11-1-2-21-1-22-11111-12-1-11200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32i−2i00−2i2i000000−iii−i0000−333−3000000000000
χ582-22-2-2-2222-2-12-1211-2-2-11-1-2-21-1-22-11111-12-1-11200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3−2i2i002i−2i000000i−i−ii00003−3−33000000000000
χ592-22-2-2-2222-2-12-1211-2-2-11-1-2-21-1-22-11111-12-1-11200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32i−2i00−2i2i000000−iii−i00003−3−33000000000000
χ602-22-2-2-2222-2-12-1211-2-2-11-1-2-21-1-22-11111-12-1-11200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3−2i2i002i−2i000000i−i−ii0000−333−3000000000000
χ614444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-4-44-24-244-2-2-24-4-22-4-422-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000000000
χ6444444-4-44-4-4-24-24-2-244-2-224-422-4-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000000000
χ6544444-4-44-4-4-2-2-2-2-2-2-2-21-22-22222211111-2-2112200-1-1-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ6644444-4-44-4-4-2-2-2-2-2-2-2-21-22-22222211111-2-2112200-1-1-1-10000-333-30000-333-3000000000000000000000000000000000000
χ674444-44-4-44-44-24-244-2-2-2-44224-4-22-222-2-2-4222-4-200-22-220000000000000000000000000000000000000000000000000000
χ684444-44-4-44-4-2-2-2-2-2-2-2-212-222-22-221-1-11122-1-12-2001-11-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ694444-44-4-44-4-2-2-2-2-2-2-2-212-222-22-221-1-11122-1-12-2001-11-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ704444-4-44-4-44-24-24-2-244-222-442-2-44-222-2-22-422-2-4002-22-20000000000000000000000000000000000000000000000000000
χ714444-4-44-4-44-2-2-2-2-2-2-2-21222-22-22-21-1-11122-1-1-2200-11-110023−23−33−330023−23−33−33000000000000000000000000000000000000
χ724444-4-44-4-44-2-2-2-2-2-2-2-21222-22-22-21-1-11122-1-1-2200-11-1100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ7344-4-400000044-4-44-44-4400000000-4004-40000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ7444-4-400000044-4-44-44-4400000000-4004-4000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ754-44-4444-4-4-44-24-2-4-422-24-4-2244-2-2-2-2-222-4222-420022-2-20000000000000000000000000000000000000000000000000000
χ764-44-4444-4-4-4-24-2422-4-4-2-224-4-2-244-2-2-2222-4222-40022-2-20000000000000000000000000000000000000000000000000000
χ774-44-4444-4-4-4-2-2-2-222221-22-22-2-2-2-2111-1-122-1-12200-1-11100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ784-44-4444-4-4-4-2-2-2-222221-22-22-2-2-2-2111-1-122-1-12200-1-1110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ794-44-44-4-4-444-2-2-2-222221-2-2-2-22222111-1-122-1-1-2-24i−4i11-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ804-44-44-4-4-444-2-2-2-222221-2-2-2-22222111-1-122-1-1-2-2−4i4i11-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ814-44-4-44-44-44-24-2422-4-4-222-44-224-4-22222-24-2-2-2-4002-2-220000000000000000000000000000000000000000000000000000
χ824-44-4-44-44-44-2-2-2-222221222-2-22-221-1-1-1-1-2-211-2200-111-100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ834-44-4-44-44-44-2-2-2-222221222-2-22-221-1-1-1-1-2-211-2200-111-1002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ844-44-4-4-4444-44-24-2-4-422-2-4422-442-2-222224-2-2-2-4-200-222-20000000000000000000000000000000000000000000000000000
χ854-44-4-4-4444-4-2-2-2-2222212-2222-22-21-1-1-1-1-2-2112-2001-1-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ864-44-4-4-4444-4-2-2-2-2222212-2222-22-21-1-1-1-1-2-2112-2001-1-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ874-4-4400000044-4-4-44-44400000000-400-440000000000000000000000000000000000000000000000000000000000002-2-22
χ884-4-4400000044-4-4-44-44400000000-400-44000000000000000000000000000000000000000000000000000000000000-222-2
χ8988-8-80000008-4-848-8-44-400000000400-440000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-484-8-448-8-400000000400-440000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8000000-4-444-44-44200000000-26-62-2006-6000000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-444-44-44200000000-2-662-200-66000000000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-84-884-4-4000000004004-40000000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-84-4-88-4000000004004-40000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-4444-44-4200000000-26-6-2200-66000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-4444-44-4200000000-2-66-22006-6000000000000000000000000000000000000000000000000000000000000

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