Finite Group Databasebeta

← Group #11787080

Character table — Group #11787080

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122222222233666666366666666666666666664466661212121212121212121212121212121222444444444466121212121212121212121212121244444444
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
χ911-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-111-111-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−i1-1i−i1-11-1ii−i−i11-1-1ii−i−ii−ii−iii−i−i
χ1011-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-111-111-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii1-1−ii1-11-1−i−iii11-1-1−i−iii−ii−ii−i−iii
χ1111-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-111-111-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i-11i−i-11-11ii−i−i-1-111ii−i−i−ii−ii−i−iii
χ1211-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-111-111-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−ii-11−ii-11-11−i−iii-1-111−i−iiii−ii−iii−i−i
χ1311-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1111111111-11-1i−ii−i-11−ii1-11-1ii−i−i-1-111−i−iiii−ii−i−i−iii
χ1411-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1111111111-11-1−ii−ii-11i−i1-11-1−i−iii-1-111ii−i−i−ii−iiii−i−i
χ1511-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-111111111-11-11i−ii−i1-1−ii-11-11ii−i−i11-1-1−i−iii−ii−iiii−i−i
χ1611-1-11-1-111-1111-1-1-1-11111-1-11-1-1-11-1-1-1-11111-11-1111-1-1-1-1-1-1-1-1-1-111111111-11-11−ii−ii1-1i−i-11-11−i−iii11-1-1ii−i−ii−ii−i−i−iii
χ1722222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-1000000000000
χ1822222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-200111100001111000000000000
χ1922222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-211111122220000-2-200-1-1-1-100001111000000000000
χ2022222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-2111111-2-2-2-20000220011110000-1-1-1-1000000000000
χ212222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200220000-1-1-1-10000-1-1-1-100000000
χ222222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200-2-2000011110000111100000000
χ232222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-211110000222200-2-20000-1-1-1-10000111100000000
χ242222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-211110000-2-2-2-20022000011110000-1-1-1-100000000
χ2522222-2-2-2-222222222222-2-2-222-2-2222-2-2-2-2-2-22-2002-22-2000000000000000022-2-20000000022-2-200000000000000000000
χ2622222-2-2-2-222222222222-2-2-222-2-2222-2-2-2-2-2-22-2002-22-20000000000000000-2-22200000000-2-22200000000000000000000
χ2722222-2-2-2-222-12-1-122-1-12-2-2-2-1-111-1-1-111-21112100-11-11003−333−3−3003−333−3−322-2-200000000-1-11100003−33−3000000000000
χ2822222-2-2-2-222-12-1-122-1-12-2-2-2-1-111-1-1-111-21112100-11-11003−333−3−3003−333−3−3-2-2220000000011-1-10000−33−33000000000000
χ2922222-2-2-2-222-12-1-122-1-12-2-2-2-1-111-1-1-111-21112100-11-1100−33−3−33300−33−3−33322-2-200000000-1-1110000−33−33000000000000
χ3022222-2-2-2-222-12-1-122-1-12-2-2-2-1-111-1-1-111-21112100-11-1100−33−3−33300−33−3−333-2-2220000000011-1-100003−33−3000000000000
χ312222-22-22-2-2222222222-2-22-2-2-22-2222222222-2-200-2-2-2-20000000000000000000000000000000000000000000022-2-20000
χ322222-22-22-2-2222222222-2-22-2-2-22-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-2-2220000
χ332222-2-22-22-2222222222-22-22-2-2-22222-2-2-2-2-2-2-2200-22-220000000000000000000022-2-2000000002-22-20000000000000000
χ342222-2-22-22-2222222222-22-22-2-2-22222-2-2-2-2-2-2-2200-22-2200000000000000000000-2-22200000000-22-220000000000000000
χ352222-2-22-22-2-12-122-1-12-11-11-1-2-2-22-1-1-1111-21112001-11-13−3003−33−33−3003−33−3000022-2-200000000-11-1100003−33−300000000
χ362222-2-22-22-2-12-122-1-12-11-11-1-2-2-22-1-1-1111-21112001-11-13−3003−33−33−3003−33−30000-2-222000000001-11-10000−33−3300000000
χ372222-2-22-22-2-12-122-1-12-11-11-1-2-2-22-1-1-1111-21112001-11-1−3300−33−33−3300−33−33000022-2-200000000-11-110000−33−3300000000
χ382222-2-22-22-2-12-122-1-12-11-11-1-2-2-22-1-1-1111-21112001-11-1−3300−33−33−3300−33−330000-2-222000000001-11-100003−33−300000000
χ3922-2-2222-2-2-2222-2-2-2-2222-2222-2222-2-222-2-2-2-2-2-2002-2-2200000000000000002-2-22000000002-2-2200000000000000000000
χ4022-2-2222-2-2-2222-2-2-2-2222-2222-2222-2-222-2-2-2-2-2-2002-2-220000000000000000-222-200000000-222-200000000000000000000
χ4122-2-2222-2-2-22-1211-2-2-1-12-222-11-1-1-111-1-1-2111-2100-111-1003−333−3−300−33−3−3332-2-2200000000-111-100003−3−33000000000000
χ4222-2-2222-2-2-22-1211-2-2-1-12-222-11-1-1-111-1-1-2111-2100-111-1003−333−3−300−33−3−333-222-2000000001-1-110000−333−3000000000000
χ4322-2-2222-2-2-22-1211-2-2-1-12-222-11-1-1-111-1-1-2111-2100-111-100−33−3−333003−333−3−32-2-2200000000-111-10000−333−3000000000000
χ4422-2-2222-2-2-22-1211-2-2-1-12-222-11-1-1-111-1-1-2111-2100-111-100−33−3−333003−333−3−3-222-2000000001-1-1100003−3−33000000000000
χ4522-2-22-2-222-22-1211-2-2-1-122-2-2-1111-111112-1-1-1-2-12-2-1-11122-1-1-1-1-1-1-2-21111112-22-200002-200-11-110000-1-111000000000000
χ4622-2-22-2-222-22-1211-2-2-1-122-2-2-1111-111112-1-1-1-2-12-2-1-11122-1-1-1-1-1-1-2-2111111-22-220000-22001-11-1000011-1-1000000000000
χ4722-2-22-2-222-22-1211-2-2-1-122-2-2-1111-111112-1-1-1-2-1-22-1-111-2-211111122-1-1-1-1-1-12-22-20000-2200-11-11000011-1-1000000000000
χ4822-2-22-2-222-22-1211-2-2-1-122-2-2-1111-111112-1-1-1-2-1-22-1-111-2-211111122-1-1-1-1-1-1-22-2200002-2001-11-10000-1-111000000000000
χ4922-2-22-2-222-2-12-1-2-2112-1-1-1112-2-2-2-11111-12-1-1122-2-1-111-1-122-1-1-1-111-2-2111100002i−2i2i−2i002i−2i0000−i−iii0000−i−iii00000000
χ5022-2-22-2-222-2-12-1-2-2112-1-1-1112-2-2-2-11111-12-1-1122-2-1-111-1-122-1-1-1-111-2-211110000−2i2i−2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
χ5122-2-22-2-222-2-12-1-2-2112-1-1-1112-2-2-2-11111-12-1-112-22-1-11111-2-21111-1-122-1-1-1-100002i−2i2i−2i00−2i2i0000−i−iii0000ii−i−i00000000
χ5222-2-22-2-222-2-12-1-2-2112-1-1-1112-2-2-2-11111-12-1-112-22-1-11111-2-21111-1-122-1-1-1-10000−2i2i−2i2i002i−2i0000ii−i−i0000−i−iii00000000
χ5322-2-2-22-2-222222-2-2-2-222-222-2-222-22-2-222-2-2-2-22200-222-2000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000000000
χ5422-2-2-22-2-222222-2-2-2-222-222-2-222-22-2-222-2-2-2-22200-222-200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000000000000000
χ5522-2-2-22-2-222-12-1-2-2112-11-1-11-222-2-111-1-11-211-12001-1-113−3003−33−3−3300−33−3300002i−2i−2i2i00000000−iii−i0000i3−i3−i3i300000000
χ5622-2-2-22-2-222-12-1-2-2112-11-1-11-222-2-111-1-11-211-12001-1-113−3003−33−3−3300−33−330000−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i300000000
χ5722-2-2-22-2-222-12-1-2-2112-11-1-11-222-2-111-1-11-211-12001-1-11−3300−33−333−3003−33−300002i−2i−2i2i00000000−iii−i0000−i3i3i3−i300000000
χ5822-2-2-22-2-222-12-1-2-2112-11-1-11-222-2-111-1-11-211-12001-1-11−3300−33−333−3003−33−30000−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i300000000
χ5922-2-2-2-222-22222-2-2-2-222-2-2-22-22-222-2-2-2-222222-200-2-222000000000000000000000000000000000000000000002i−2i−2i2i0000
χ6022-2-2-2-222-22222-2-2-2-222-2-2-22-22-222-2-2-2-222222-200-2-22200000000000000000000000000000000000000000000−2i2i2i−2i0000
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
χ6344444-4-4-4-44-24-244-2-24-2-222244-4-4-2-2-2222-422-2-400-22-220000000000000000000000000000000000000000000000000000
χ6444444-4-4-4-44-2-2-2-2-2-2-2-21-2222-2-222111-1-122-1-1-22001-11-10023−23−3−3330023−23−3−333000000000000000000000000000000000000
χ6544444-4-4-4-44-2-2-2-2-2-2-2-21-2222-2-222111-1-122-1-1-22001-11-100−232333−3−300−232333−3−3000000000000000000000000000000000000
χ664444-44-44-4-44-24-2-244-2-2-4-44-422-22-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000000000
χ674444-44-44-4-4-24-244-2-24-222-22-4-44-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000000000
χ684444-44-44-4-4-2-2-2-2-2-2-2-2122-2222-2211111-2-2112200-1-1-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ694444-44-44-4-4-2-2-2-2-2-2-2-2122-2222-2211111-2-2112200-1-1-1-10000-333-30000-333-3000000000000000000000000000000000000
χ704444-4-44-44-44-24-2-244-2-2-44-44222-2-2-2-222-4222-4-2002-22-20000000000000000000000000000000000000000000000000000
χ714444-4-44-44-4-2-2-2-2-2-2-2-212-22-2222-2111-1-122-1-12-200-11-1123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ724444-4-44-44-4-2-2-2-2-2-2-2-212-22-2222-2111-1-122-1-12-200-11-11−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ7344-4-4444-4-4-4-24-2-4-4224-2-22-2-24-444-222-2-22-4222-400-222-20000000000000000000000000000000000000000000000000000
χ7444-4-4444-4-4-4-2-2-22222-21-22-2-2-22-2-21-1-11122-1-122001-1-110023−23−3−33300−232333−3−3000000000000000000000000000000000000
χ7544-4-4444-4-4-4-2-2-22222-21-22-2-2-22-2-21-1-11122-1-122001-1-1100−232333−3−30023−23−3−333000000000000000000000000000000000000
χ7644-4-44-4-444-4-2-2-22222-21-2-222-22221-1-1-1-1-2-2112-24-411-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ7744-4-44-4-444-4-2-2-22222-21-2-222-22221-1-1-1-1-2-2112-2-4411-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7844-4-4-44-4-4444-2422-4-4-2-2-444-42-2-22-222-2-2-42224-2002-2-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-444-2-2-22222-212-2-222-2-221-1-11122-1-1-2-200-111-123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ8044-4-4-44-4-444-2-2-22222-212-2-222-2-221-1-11122-1-1-2-200-111-1−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ8144-4-4-4-444-444-2422-4-4-2-2-4-4-442-22-2-222224-2-2-2420022-2-20000000000000000000000000000000000000000000000000000
χ8244-4-4-4-444-44-24-2-4-4224-2222-2-44-44-22222-24-2-2-2-40022-2-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-444-44-2-2-22222-21222-22-22-21-1-1-1-1-2-211-2200-1-11100003-3-330000-333-3000000000000000000000000000000000000
χ8444-4-4-4-444-44-2-2-22222-21222-22-22-21-1-1-1-1-2-211-2200-1-1110000-333-300003-3-33000000000000000000000000000000000000
χ854-44-400000044-44-44-4-4400000000-44-4000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ864-44-400000044-44-44-4-4400000000-44-400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ874-4-4400000044-4-44-44-4400000000-4-44000000000000000000000000000000000000000000000000000000000000002-2-22
χ884-4-4400000044-4-44-44-4400000000-4-4400000000000000000000000000000000000000000000000000000000000000-222-2
χ898-88-80000008-4-8-448-84-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000-4848-8-44-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000-4-44-44-444200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-44-44-444200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-84-4-884-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-884-4-8-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-444-44-44200000000-2-226-600-66000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-444-44-44200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000000000

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