Finite Group Databasebeta

← Group #11787981

Character table — Group #11787981

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222222223366666636666666666666666666446666121212121212121212121212121212124444444444441212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
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
χ91-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-111-1-1
χ101-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-11-1-111
χ111-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-11-1-111
χ121-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-111-1-1
χ131-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1-1-111
χ141-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-1111-1-1
χ151-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-1111-1-1
χ161-1-1111-11-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1-1-111
χ1722222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-100000000
χ1822222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-2000011110000111100000000
χ1922222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000222200-2-20000-1-1-1-10000111100000000
χ2022222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-20022000011110000-1-1-1-100000000
χ212222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-1000000000000
χ222222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-200111100001111000000000000
χ232222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-2111122220000-2-200-1-1-1-100001111000000000000
χ242222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-20000220011110000-1-1-1-1000000000000
χ2522222-2-2-22-22222222222-22-22-2-2-2222-2-2-2-2-2-2-22002-22-200000000000000002-22-2000000002-22-200000000000000000000
χ2622222-2-2-22-22222222222-22-22-2-2-2222-2-2-2-2-2-2-22002-22-20000000000000000-22-2200000000-22-2200000000000000000000
χ2722222-2-2-22-2-12-12-1-122-1-112-2-11-2-2-1-1-1111-2111200-11-113−30033−3−33−30033−3−32-22-200000000-11-1100003−33−3000000000000
χ2822222-2-2-22-2-12-12-1-122-1-112-2-11-2-2-1-1-1111-2111200-11-113−30033−3−33−30033−3−3-22-22000000001-11-10000−33−33000000000000
χ2922222-2-2-22-2-12-12-1-122-1-112-2-11-2-2-1-1-1111-2111200-11-11−3300−3−333−3300−3−3332-22-200000000-11-110000−33−33000000000000
χ3022222-2-2-22-2-12-12-1-122-1-112-2-11-2-2-1-1-1111-2111200-11-11−3300−3−333−3300−3−333-22-22000000001-11-100003−33−3000000000000
χ312222-22-2-2-22222222222-22-22-2-22-2222-2-2-2-2-2-22-200-22-22000000000000000000002-22-2000000002-22-20000000000000000
χ322222-22-2-2-22222222222-22-22-2-22-2222-2-2-2-2-2-22-200-22-2200000000000000000000-22-2200000000-22-220000000000000000
χ332222-22-2-2-222-12-122-1-1-1-221-1-2-2-11-1-1-111-211121001-11-1003−33−33−3003−33−33−300002-22-200000000-11-1100003−33−300000000
χ342222-22-2-2-222-12-122-1-1-1-221-1-2-2-11-1-1-111-211121001-11-1003−33−33−3003−33−33−30000-22-22000000001-11-10000−33−3300000000
χ352222-22-2-2-222-12-122-1-1-1-221-1-2-2-11-1-1-111-211121001-11-100−33−33−3300−33−33−3300002-22-200000000-11-110000−33−3300000000
χ362222-22-2-2-222-12-122-1-1-1-221-1-2-2-11-1-1-111-211121001-11-100−33−33−3300−33−33−330000-22-22000000001-11-100003−33−300000000
χ372222-2-222-2-2222222222-2-2-2-2-22-22222222222-2-200-2-2-2-20000000000000000000000000000000000000000000022-2-20000
χ382222-2-222-2-2222222222-2-2-2-2-22-22222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-2-2220000
χ392-2-2222-22-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-212-2-1-11122-1-1-1-1-1-1-2-211111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii00000000
χ402-2-2222-22-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-212-2-1-11122-1-1-1-1-1-1-2-21111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
χ412-2-2222-22-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-21-22-1-111-2-211111122-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000−i−iii0000ii−i−i00000000
χ422-2-2222-22-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-21-22-1-111-2-211111122-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000ii−i−i0000−i−iii00000000
χ432-2-2222-22-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-22-2-1-111-1-122-1-1-1-111-2-211112i2i−2i−2i00002i−2i00−i−iii0000−i−iii000000000000
χ442-2-2222-22-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-22-2-1-111-1-122-1-1-1-111-2-21111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i000000000000
χ452-2-2222-22-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-2-22-1-11111-2-21111-1-122-1-1-1-12i2i−2i−2i0000−2i2i00−i−iii0000ii−i−i000000000000
χ462-2-2222-22-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-2-22-1-11111-2-21111-1-122-1-1-1-1−2i−2i2i2i00002i−2i00ii−i−i0000−i−iii000000000000
χ472-2-222-22-2-222222-2-2-2-222-22-2-22222-2-222-2-2-2-22-2002-2-2200000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000000000
χ482-2-222-22-2-222222-2-2-2-222-22-2-22222-2-222-2-2-2-22-2002-2-220000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000
χ492-2-222-22-2-22-12-1211-2-2-1-112-21-122-111-1-11-211-1-200-111-13−30033−3−3−3300−3−3332i−2i−2i2i00000000−iii−i0000i3−i3−i3i3000000000000
χ502-2-222-22-2-22-12-1211-2-2-1-112-21-122-111-1-11-211-1-200-111-13−30033−3−3−3300−3−333−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i3000000000000
χ512-2-222-22-2-22-12-1211-2-2-1-112-21-122-111-1-11-211-1-200-111-1−3300−3−3333−30033−3−32i−2i−2i2i00000000−iii−i0000−i3i3i3−i3000000000000
χ522-2-222-22-2-22-12-1211-2-2-1-112-21-122-111-1-11-211-1-200-111-1−3300−3−3333−30033−3−3−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i3000000000000
χ532-2-22-222-22-22222-2-2-2-22-22-2222-222-2-222-2-2-2-2-2200-222-2000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000000000
χ542-2-22-222-22-22222-2-2-2-22-22-2222-222-2-222-2-2-2-2-2200-222-200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000000000
χ552-2-22-222-22-22-12-1-2-211-1-221-1221-1-111-1-1-2111-2-1001-1-11003−33−33−300−33−33−3300002i−2i−2i2i00000000−iii−i0000i3−i3−i3i300000000
χ562-2-22-222-22-22-12-1-2-211-1-221-1221-1-111-1-1-2111-2-1001-1-11003−33−33−300−33−33−330000−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i300000000
χ572-2-22-222-22-22-12-1-2-211-1-221-1221-1-111-1-1-2111-2-1001-1-1100−33−33−33003−33−33−300002i−2i−2i2i00000000−iii−i0000−i3i3i3−i300000000
χ582-2-22-222-22-22-12-1-2-211-1-221-1221-1-111-1-1-2111-2-1001-1-1100−33−33−33003−33−33−30000−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i300000000
χ592-2-22-2-2-22222222-2-2-2-22-2-2-2-22-22-22-2-2-2-222222200-2-222000000000000000000000000000000000000000000002-2-220000
χ602-2-22-2-2-22222222-2-2-2-22-2-2-2-22-22-22-2-2-2-222222200-2-22200000000000000000000000000000000000000000000-222-20000
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
χ6344444-4-4-44-44-24-244-2-2-24-4-224-422-2-2-222-4222-4-200-22-220000000000000000000000000000000000000000000000000000
χ6444444-4-4-44-4-2-2-2-2-2-2-2-21-22-22-2222111-1-122-1-12-2001-11-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ6544444-4-4-44-4-2-2-2-2-2-2-2-21-22-22-2222111-1-122-1-12-2001-11-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ664444-44-4-4-44-24-24-2-244-22-2-44224-4-2-2-2222-422-2-4002-22-20000000000000000000000000000000000000000000000000000
χ674444-44-4-4-44-2-2-2-2-2-2-2-212-22-222-22111-1-122-1-1-2200-11-110023−23−33−330023−23−33−33000000000000000000000000000000000000
χ684444-44-4-4-44-2-2-2-2-2-2-2-212-22-222-22111-1-122-1-1-2200-11-1100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ694444-4-444-4-44-24-244-2-2-2-4-422-442-2-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000000000
χ704444-4-444-4-4-24-24-2-244-222-4-42-2-44-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000000000
χ714444-4-444-4-4-2-2-2-2-2-2-2-2122222-22-211111-2-2112200-1-1-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ724444-4-444-4-4-2-2-2-2-2-2-2-2122222-22-211111-2-2112200-1-1-1-10000-333-30000-333-3000000000000000000000000000000000000
χ7344-4-400000044-4-44-44-4400000000-44-4000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ7444-4-400000044-4-44-44-4400000000-44-400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ754-44-400000044-4-4-44-44400000000-4-44000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ764-44-400000044-4-4-44-44400000000-4-4400000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ774-4-4444-44-4-4-2-2-2-222221-2-2-2-222221-1-1-1-1-2-211224-411-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ784-4-4444-44-4-4-2-2-2-222221-2-2-2-222221-1-1-1-1-2-21122-4411-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ794-4-444-44-4-444-24-2-4-422-24-4-22-44-2-2-222-2-2-42224200-222-20000000000000000000000000000000000000000000000000000
χ804-4-444-44-4-44-2-2-2-222221-22-222-2-2-21-1-11122-1-1-22001-1-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ814-4-444-44-4-44-2-2-2-222221-22-222-2-2-21-1-11122-1-1-22001-1-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ824-4-44-444-44-4-24-2422-4-4-22-2-44-2-2-44-222-2-22-42224002-2-220000000000000000000000000000000000000000000000000000
χ834-4-44-444-44-4-2-2-2-2222212-22-2-2-22-21-1-11122-1-12-200-111-10023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ844-4-44-444-44-4-2-2-2-2222212-22-2-2-22-21-1-11122-1-12-200-111-100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ854-4-44-4-4-44444-24-2-4-422-2-4-4224-4-22-222224-2-2-24-20022-2-20000000000000000000000000000000000000000000000000000
χ864-4-44-4-4-4444-24-2422-4-4-222-4-4-224-4-22222-24-2-2-240022-2-20000000000000000000000000000000000000000000000000000
χ874-4-44-4-4-4444-2-2-2-2222212222-22-221-1-1-1-1-2-211-2-200-1-11100003-3-330000-333-3000000000000000000000000000000000000
χ884-4-44-4-4-4444-2-2-2-2222212222-22-221-1-1-1-1-2-211-2-200-1-1110000-333-300003-3-33000000000000000000000000000000000000
χ8988-8-80000008-4-848-8-44-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-484-8-448-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8000000-4-444-44-44200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-444-44-44200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000000000
χ938-88-80000008-4-84-884-4-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8000000-484-84-4-88-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-4444-44-4200000000-2-226-600-66000000000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-4444-44-4200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000000000

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