Finite Group Databasebeta

← Group #11787938

Character table — Group #11787938

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222222223366666666663666666666666666664466661212121212121212121212121212121222222244444466666666446612121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ911-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-11-11-1ii−i−i1111-1-1-1-1i−i1-1ii−i−i1-1ii−i−iii−i−i1-1
χ1011-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-11-11ii−i−i1111-1-1-1-1−ii-11ii−i−i-11−i−iii−i−iii-11
χ1111-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1111-11-1−i−iii-1-1-1-11111i−i1-1−i−iii1-1ii−i−i−i−iii-11
χ1211-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-11-11−i−iii-1-1-1-11111−ii-11−i−iii-11−i−iiiii−i−i1-1
χ1311-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-11-11-1−i−iii1111-1-1-1-1−ii1-1−i−iii1-1−i−iii−i−iii1-1
χ1411-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-11-11−i−iii1111-1-1-1-1i−i-11−i−iii-11ii−i−iii−i−i-11
χ1511-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1111-11-1ii−i−i-1-1-1-11111−ii1-1ii−i−i1-1−i−iiiii−i−i-11
χ1611-1-111-1-1-1111-1-1111-1-11-1-11111-111-1-1111-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-11-11ii−i−i-1-1-1-11111i−i-11ii−i−i-11ii−i−i−i−iii1-1
χ1722222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ1822222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111100001111000000000000
χ1922222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-2111122220000-2-2-2-2-1-1-1-1-1-1-1-100001111000000000000
χ2022222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-2-2-200002222111111110000-1-1-1-1000000000000
χ212222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000022-1-10000-1-1-1-1-1-1000000
χ222222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2110000111111000000
χ232222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100002222000000000000-2-2-1-10000-1-11111000000
χ242222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000-2-2-2-20000000000002211000011-1-1-1-1000000
χ2522222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-20000000000000000000000002-22-20000000000002-22-2000000000000
χ2622222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-2000000000000000000000000-22-22000000000000-22-22000000000000
χ2722222-2-22-2-22-122-1-1-1-1-12-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3000000002-22-2−i3−i3i3i3−i3−i3i3i30000-11-11000000000000
χ2822222-2-22-2-22-122-1-1-1-1-12-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300000000-22-22i3i3−i3−i3i3i3−i3−i300001-11-1000000000000
χ2922222-2-22-2-22-122-1-1-1-1-12-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3000000002-22-2i3i3−i3−i3i3i3−i3−i30000-11-11000000000000
χ3022222-2-22-2-22-122-1-1-1-1-12-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300000000-22-22−i3−i3i3i3−i3−i3i3i300001-11-1000000000000
χ312222-22-2-22-222222-2-2-2-22222-22-2-22-22-22-2-222-2-2-22002-22-2000000000000000000000000000000000000000000000000002-22-200
χ322222-22-2-22-222222-2-2-2-22222-22-2-22-22-22-2-222-2-2-22002-22-200000000000000000000000000000000000000000000000000-22-2200
χ332222-2-22-2-2222222-2-2-2-22222-2-222-22-222-2-222-2-2-2-200-22-220000000000000000000022-2-200000000000000220000-2-20000000000
χ342222-2-22-2-2222222-2-2-2-22222-2-222-22-222-2-222-2-2-2-200-22-2200000000000000000000-2-22200000000000000-2-20000220000000000
χ352222-2-22-2-22-12-1-12-2-2-2-2-122-111-1-1-22-22-111-1-11111001-11-100003−33−33−33−33−33−3000022-2-200000000000000-1-10000113−33−3000000
χ362222-2-22-2-22-12-1-12-2-2-2-2-122-111-1-1-22-22-111-1-11111001-11-100003−33−33−33−33−33−30000-2-22200000000000000110000-1-1−33−33000000
χ372222-2-22-2-22-12-1-12-2-2-2-2-122-111-1-1-22-22-111-1-11111001-11-10000−33−33−33−33−33−33000022-2-200000000000000-1-1000011−33−33000000
χ382222-2-22-2-22-12-1-12-2-2-2-2-122-111-1-1-22-22-111-1-11111001-11-10000−33−33−33−33−33−330000-2-22200000000000000110000-1-13−33−3000000
χ3922-2-222-2-2-222-1-2-2-1-1-111211-1222-2-1-111-1-1-111-211-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii22-2-200002i2i−2i−2i-1-1-1-111110000−i−iii000000000000
χ4022-2-222-2-2-222-1-2-2-1-1-111211-1222-2-1-111-1-1-111-211-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii-2-2220000−2i−2i2i2i1111-1-1-1-10000ii−i−i000000000000
χ4122-2-222-2-2-222-1-2-2-1-1-111211-1222-2-1-111-1-1-111-211-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i22-2-20000−2i−2i2i2i-1-1-1-111110000ii−i−i000000000000
χ4222-2-222-2-2-222-1-2-2-1-1-111211-1222-2-1-111-1-1-111-211-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-22200002i2i−2i−2i1111-1-1-1-10000−i−iii000000000000
χ4322-2-222-2-2-22-1211222-2-2-1-2-2-1-1-1-1122-2-2-1-1-11111112i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii00002-22-20000000000002i−2i-110000-11−i−iii000000
χ4422-2-222-2-2-22-1211222-2-2-1-2-2-1-1-1-1122-2-2-1-1-11111112i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii0000-22-22000000000000−2i2i1-100001-1ii−i−i000000
χ4522-2-222-2-2-22-1211222-2-2-1-2-2-1-1-1-1122-2-2-1-1-1111111−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i00002-22-2000000000000−2i2i-110000-11ii−i−i000000
χ4622-2-222-2-2-22-1211222-2-2-1-2-2-1-1-1-1122-2-2-1-1-1111111−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i0000-22-220000000000002i−2i1-100001-1−i−iii000000
χ4722-2-22-22-22-222-2-2222-2-22-2-222-2-22-2-222222-2-2-2-2-2200-2-2220000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ4822-2-22-22-22-222-2-2222-2-22-2-222-2-22-2-222222-2-2-2-2-2200-2-222000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ4922-2-22-22-22-22-1-2-2-1-1-111211-12-2-2211-1-1-1-1-111-21120011-1-13−3−330033−3−300−3−333000000002i−2i−2i2i−i3−i3i3i3i3i3−i3−i30000−iii−i000000000000
χ5022-2-22-22-22-22-1-2-2-1-1-111211-12-2-2211-1-1-1-1-111-21120011-1-13−3−330033−3−300−3−33300000000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i30000i−i−ii000000000000
χ5122-2-22-22-22-22-1-2-2-1-1-111211-12-2-2211-1-1-1-1-111-21120011-1-1−333−300−3−3330033−3−3000000002i−2i−2i2ii3i3−i3−i3−i3−i3i3i30000−iii−i000000000000
χ5222-2-22-22-22-22-1-2-2-1-1-111211-12-2-2211-1-1-1-1-111-21120011-1-1−333−300−3−3330033−3−300000000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i30000i−i−ii000000000000
χ5322-2-2-2222-2-222-2-22-2-2222-2-22-22-222-2-222-2-2-2-2222-2002-2-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-2222-2-222-2-22-2-2222-2-22-22-222-2-222-2-2-2-2222-2002-2-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-2-222222-2-22-2-2222-2-22-2-22-2-222-22-2-2-2-2222200-222-2000000000000000000002-2-22000000000000002-20000-220000000000
χ5622-2-2-2-2-222222-2-22-2-2222-2-22-2-22-2-222-22-2-2-2-2222200-222-200000000000000000000-222-200000000000000-2200002-20000000000
χ5722-2-2-2-2-2222-12112-2-222-1-2-2-111-11-222-2-11111-1-1-1-1001-1-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300002-2-2200000000000000-1100001-1−i3i3i3−i3000000
χ5822-2-2-2-2-2222-12112-2-222-1-2-2-111-11-222-2-11111-1-1-1-1001-1-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i30000-222-2000000000000001-10000-11i3−i3−i3i3000000
χ5922-2-2-2-2-2222-12112-2-222-1-2-2-111-11-222-2-11111-1-1-1-1001-1-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300002-2-2200000000000000-1100001-1i3−i3−i3i3000000
χ6022-2-2-2-2-2222-12112-2-222-1-2-2-111-11-222-2-11111-1-1-1-1001-1-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i30000-222-2000000000000001-10000-11−i3i3i3−i3000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ6344444-4-44-4-4-24-2-244444-244-2-2222-4-4-4-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000000000
χ6444444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000000000
χ6544444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000000000
χ664444-44-4-44-44-244-222224-2-2-2-44-4-4-22-22-222-2-2-422400-22-2200000000000000000000000000000000000000000000000000000000
χ674444-44-4-44-4-24-2-24-4-4-4-4-244-22-2224-44-4-222-2-2222-200-22-2200000000000000000000000000000000000000000000000000000000
χ684444-44-4-44-4-2-2-2-2-22222-2-2-212-222-22-221-1-1112-1-1-2001-11-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000000000
χ694444-44-4-44-4-2-2-2-2-22222-2-2-212-222-22-221-1-1112-1-1-2001-11-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ704444-4-44-4-444-244-222224-2-2-2-4-4442-22-2-222-2-2-422-4002-22-200000000000000000000000000000000000000000000000000000000
χ714444-4-44-4-44-2-2-2-2-22222-2-2-2122-2-22-22-21-1-1112-1-1200-11-11000023−23−33−3323−23−33−330000000000000000000000000000000000000000
χ724444-4-44-4-44-2-2-2-2-22222-2-2-2122-2-22-22-21-1-1112-1-1200-11-110000−23233−33−3−23233−33−30000000000000000000000000000000000000000
χ7344-4-444-4-4-44-2-222-2-2-222-2221-2-2-22-2-222111-1-12-1-124i−4i11-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ7444-4-444-4-4-44-2-222-2-2-222-2221-2-2-22-2-222111-1-12-1-12−4i4i11-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ7544-4-44-44-44-4-2422444-4-4-2-4-4-2-222-2-4-444-2-2-222222-20022-2-200000000000000000000000000000000000000000000000000000000
χ7644-4-44-44-44-4-2-222-2-2-222-2221-222-222-2-2111-1-12-1-1-200-1-11123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ7744-4-44-44-44-4-2-222-2-2-222-2221-222-222-2-2111-1-12-1-1-200-1-111−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ7844-4-4-4444-4-44-2-4-4-222-2-2422-2-44-44-222-2-222224-2-2-400-222-200000000000000000000000000000000000000000000000000000000
χ7944-4-4-4444-4-4-24224-4-444-2-4-4-22-22-24-4-44-22222-2-2-2200-222-200000000000000000000000000000000000000000000000000000000
χ8044-4-4-4444-4-4-2-222-222-2-2-22212-22-2-222-21-1-1-1-1-2112001-1-110000003-3-3300-333-30000000000000000000000000000000000000000
χ8144-4-4-4444-4-4-2-222-222-2-2-22212-22-2-222-21-1-1-1-1-2112001-1-11000000-333-3003-3-330000000000000000000000000000000000000000
χ8244-4-4-4-4-44444-2-4-4-222-2-2422-2-4-44-42-2-22-222224-2-24002-2-2200000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-4-4444-2-222-222-2-2-222122-222-2-221-1-1-1-1-211-200-111-10000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000000000
χ8444-4-4-4-4-4444-2-222-222-2-2-222122-222-2-221-1-1-1-1-211-200-111-100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000
χ854-44-4000000444-4-40000-44-4400000000-4004-4000000000000000000000000002-22-2000000002-22-22-22-200000000000000000000
χ864-44-4000000444-4-40000-44-4400000000-4004-400000000000000000000000000-22-2200000000-22-22-22-2200000000000000000000
χ874-44-40000004-24-42−2i32i3−2i32i3-4-22-2000000002−2i32i3-220−2i32i3000000000000000000000002-22-200000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000
χ884-44-40000004-24-42−2i32i3−2i32i3-4-22-2000000002−2i32i3-220−2i32i300000000000000000000000-22-22000000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000
χ894-44-40000004-24-422i3−2i32i3−2i3-4-22-20000000022i3−2i3-2202i3−2i3000000000000000000000002-22-200000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000
χ904-44-40000004-24-422i3−2i32i3−2i3-4-22-20000000022i3−2i3-2202i3−2i300000000000000000000000-22-22000000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000
χ914-4-4400000044-44-40000-4-44400000000-400-44000000000000000000000000002-2-22000000002-22-2-22-2200000000000000000000
χ924-4-4400000044-44-40000-4-44400000000-400-4400000000000000000000000000-222-200000000-22-222-22-200000000000000000000
χ934-4-440000004-2-442−2i32i32i3−2i3-42-2-2000000002−2i32i32-202i3−2i3000000000000000000000002-2-2200000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ944-4-440000004-2-442−2i32i32i3−2i3-42-2-2000000002−2i32i32-202i3−2i300000000000000000000000-222-2000000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ954-4-440000004-2-4422i3−2i3−2i32i3-42-2-20000000022i3−2i32-20−2i32i3000000000000000000000002-2-2200000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ964-4-440000004-2-4422i3−2i3−2i32i3-42-2-20000000022i3−2i32-20−2i32i300000000000000000000000-222-2000000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ978-88-8000000-48-44-8000048-8-400000000400-44000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-4-444−4i34i3−4i34i34-44200000000-22i3−2i32-202i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-4-4444i3−4i34i3−4i34-44200000000-2−2i32i32-20−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-484-4-800004-88-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-44-44−4i34i34i3−4i344-4200000000-22i3−2i3-220−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-44-444i3−4i3−4i34i344-4200000000-2−2i32i3-2202i3−2i3000000000000000000000000000000000000000000000000000000000000000

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