Finite Group Databasebeta

← Group #11785490

Character table — Group #11785490

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1244222334446612121212366666666612121212121212121212446612121212121212121212121212121212121222448888888844446612121212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1
χ911111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-11111i−ii−i1-11-1ii−i−iii−i−i11-1-1-1-1i−i
χ1011111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111-1-1-1-1i−i−ii1-11-1ii−i−i−i−iii-1-11111−ii
χ1111111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1-1-1-1-1−iii−i-11-11−i−iiiii−i−i11-1-111−ii
χ1211111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1111111−ii−ii-11-11−i−iii−i−iii-1-111-1-1i−i
χ1311111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-11111−ii−ii1-11-1−i−iii−i−iii11-1-1-1-1−ii
χ1411111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111-1-1-1-1−iii−i1-11-1−i−iiiii−i−i-1-11111i−i
χ1511111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1-1-1-1-1i−i−ii-11-11ii−i−i−i−iii11-1-111i−i
χ1611111-1-111-1-11111111111-1-11-1-1-1-1-1-11-1-111-1-11−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1111111i−ii−i-11-11ii−i−iii−i−i-1-111-1-1−ii
χ1722222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ1922222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-2111111222200000000-2-200-1-1-1-11111000000000000
χ2022222222-12222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-2111111-2-2-2-20000000022001111-1-1-1-1000000000000
χ212222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ222222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ232222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111100002222000000-2-2000000001111-1-1-1-10000
χ242222222-12222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-211110000-2-2-2-20000002200000000-1-1-1-111110000
χ2522222-2-22-1-2-222-122-1-1-12-1-21-111-21-2-2-111-1-11122i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22-2000000002i−2i00-11-11−i−iii000000000000
χ2622222-2-22-1-2-222-122-1-1-12-1-21-111-21-2-2-111-1-11122i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii-22-2200000000−2i2i001-11-1ii−i−i000000000000
χ2722222-2-22-1-2-222-122-1-1-12-1-21-111-21-2-2-111-1-1112−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i2-22-200000000−2i2i00-11-11ii−i−i000000000000
χ2822222-2-22-1-2-222-122-1-1-12-1-21-111-21-2-2-111-1-1112−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-22-22000000002i−2i001-11-1−i−iii000000000000
χ2922222-2-2-12-2-22-12-1-122-1-121-2-1111-2112-2-2-1-111-12i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii000022-2-20000002i−2i00000000−i−iii-1-1110000
χ3022222-2-2-12-2-22-12-1-122-1-121-2-1111-2112-2-2-1-111-12i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2-222000000−2i2i00000000ii−i−i11-1-10000
χ3122222-2-2-12-2-22-12-1-122-1-121-2-1111-2112-2-2-1-111-1−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i000022-2-2000000−2i2i00000000ii−i−i-1-1110000
χ3222222-2-2-12-2-22-12-1-122-1-121-2-1111-2112-2-2-1-111-1−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-2-2220000002i−2i00000000−i−iii11-1-10000
χ332222-22-2222-2-22222222-2-2-2-22-2-2222-2-22-222-2-2-200-22-22000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ342222-22-2222-2-22222222-2-2-2-22-2-2222-2-22-222-2-2-200-22-2200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ352222-22-2-122-2-2-12-1-122-11-21-2-111-12-11-22-2-1-1111001-11-13−30033−3−33−30033−3−300002i−2i2i−2i0000000000000000−i3i3−i3i3−ii−ii0000
χ362222-22-2-122-2-2-12-1-122-11-21-2-111-12-11-22-2-1-1111001-11-13−30033−3−33−30033−3−30000−2i2i−2i2i0000000000000000i3−i3i3−i3i−ii−i0000
χ372222-22-2-122-2-2-12-1-122-11-21-2-111-12-11-22-2-1-1111001-11-1−3300−3−333−3300−3−33300002i−2i2i−2i0000000000000000i3−i3i3−i3−ii−ii0000
χ382222-22-2-122-2-2-12-1-122-11-21-2-111-12-11-22-2-1-1111001-11-1−3300−3−333−3300−3−3330000−2i2i−2i2i0000000000000000−i3i3−i3i3i−ii−i0000
χ392222-2-2222-22-22222222-2-222222-2-2-22-2-222222-200-2-2-2-2000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ402222-2-2222-22-22222222-2-222222-2-2-22-2-222222-200-2-2-2-200000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ412222-2-22-12-22-2-12-1-122-11-2-12-1-1-11-21-1-2-22-1-1-1-11001111−i3i300−i3−i3i3i3i3−i300i3i3−i3−i300002i−2i−2i2i0000000000000000−333−3−iii−i0000
χ422222-2-22-12-22-2-12-1-122-11-2-12-1-1-11-21-1-2-22-1-1-1-11001111−i3i300−i3−i3i3i3i3−i300i3i3−i3−i30000−2i2i2i−2i00000000000000003−3−33i−i−ii0000
χ432222-2-22-12-22-2-12-1-122-11-2-12-1-1-11-21-1-2-22-1-1-1-11001111i3−i300i3i3−i3−i3−i3i300−i3−i3i3i300002i−2i−2i2i00000000000000003−3−33−iii−i0000
χ442222-2-22-12-22-2-12-1-122-11-2-12-1-1-11-21-1-2-22-1-1-1-11001111i3−i300i3i3−i3−i3−i3i300−i3−i3i3i30000−2i2i2i−2i0000000000000000−333−3i−i−ii0000
χ4522-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002-2-220000000000002-2-220000000000000000
χ4622-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000-222-2000000000000-222-20000000000000000
χ4722-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-2-22000000000000-111-1−i3i3−i3i3000000000000
χ4822-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3-222-20000000000001-1-11i3−i3i3−i3000000000000
χ4922-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-2-22000000000000-111-1i3−i3i3−i3000000000000
χ5022-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-222-20000000000001-1-11−i3i3−i3i3000000000000
χ5122-2-22-2-22222-222-2-2-2-2222-2-22-2-2-2-222-222-2-222-2002-2-22000000000000000022-2-200000000000022-2-20000000000000000
χ5222-2-22-2-22222-222-2-2-2-2222-2-22-2-2-2-222-222-2-222-2002-2-220000000000000000-2-222000000000000-2-2220000000000000000
χ5322-2-22-2-22-122-22-1-2-211-12-1-21-111-21221-1-111-1-1-200-111-1003−33−33−300−33−33−3322-2-2000000000000-1-1113−3−33000000000000
χ5422-2-22-2-22-122-22-1-2-211-12-1-21-111-21221-1-111-1-1-200-111-1003−33−33−300−33−33−33-2-22200000000000011-1-1−333−3000000000000
χ5522-2-22-2-22-122-22-1-2-211-12-1-21-111-21221-1-111-1-1-200-111-100−33−33−33003−33−33−322-2-2000000000000-1-111−333−3000000000000
χ5622-2-22-2-22-122-22-1-2-211-12-1-21-111-21221-1-111-1-1-200-111-100−33−33−33003−33−33−3-2-22200000000000011-1-13−3−33000000000000
χ5722-2-2-22-222-22222-2-2-2-22-2-2-2-22-2-222-222-22-2-222200-222-200000000000000000000000022-2-2000000000000000000002-200
χ5822-2-2-22-222-22222-2-2-2-22-2-2-2-22-2-222-222-22-2-222200-222-2000000000000000000000000-2-22200000000000000000000-2200
χ5922-2-2-2-22222-2222-2-2-2-22-2-222222-2-22-222-2-2-2-2-2200-2-22200000000000000000000000022-2-200000000000000000000-2200
χ6022-2-2-2-22222-2222-2-2-2-22-2-222222-2-22-222-2-2-2-2-2200-2-222000000000000000000000000-2-222000000000000000000002-200
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-2-2-2-2-21-2-2221-1-12222-22211-1-1-24i−4i1-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-21-2-2221-1-12222-22211-1-1-2−4i4i1-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ654444-44-44-24-4-44-244-2-2-2-42-42-2224-24-42-22-2-222-4002-22-20000000000000000000000000000000000000000000000000000
χ664444-44-4-2-24-4-4-2-2-2-2-2-2122221-1-1-2-2-222-2211-1-1200-11-1123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ674444-44-4-2-24-4-4-2-2-2-2-2-2122221-1-1-2-2-222-2211-1-1200-11-11−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ684444-4-444-2-44-44-244-2-2-2-424-2-2-2-2-42-4422-2-2-2-2-2-40022220000000000000000000000000000000000000000000000000000
χ694444-4-44-2-2-44-4-2-2-2-2-2-2122-2-2111222-222-21111200-1-1-1-1−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-44-2-2-44-4-2-2-2-2-2-2122-2-2111222-222-21111200-1-1-1-12i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4444-24-4-4-4-2422-4-4-2-24-24-2-2-2-2422-4-4-42222200-2-2220000000000000000000000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ7444-4-44-4-4-2444-4-2422-4-4-2-242-4-2222-4-2-2-44422-2-2200-222-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2-244-4-2-222221-2-2221-1-122-2-22-2-2-1-1112001-1-110023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-222221-2-2221-1-122-2-22-2-2-1-1112001-1-1100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ7744-4-4-44-44-2-4444-2-4-422-2-42-42-2224-2-44-22-222-2-24002-2-220000000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-24-444-2422-4-4-22-42-4-222-242-24-4422-2-2-2002-2-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-2-444-2-22222122221-1-1-2-22-2-22-2-1-111-200-111-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-22222122221-1-1-2-22-2-22-2-1-111-200-111-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ8144-4-4-4-444-24-444-2-4-422-2-424-2-2-2-2-424-4-2-22222240022-2-20000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-4-22-4-24-2-2-22-4-2244-42222-20022-2-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-22222122-2-211122-22-2-22-1-1-1-1-200-1-11100003-3-330000-333-3000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-22222122-2-211122-22-2-22-1-1-1-1-200-1-1110000-333-300003-3-33000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000-40000000004i−4i00000000000000000000000000000000022−22−2i22i2000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i40000-40000000004i−4i000000000000000000000000000000000−22222i2−2i2000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000−4i4i00000000000000000000000000000000022−222i2−2i2000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000−4i4i000000000000000000000000000000000−2222−2i22i2000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-400004000000000−4i4i0000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-400004000000000−4i4i0000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000-26-600000002i−2i6i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-2-6600000002i−2i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-4000040000000004i−4i0000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-4000040000000004i−4i0000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000-26-60000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-2-660000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000000000

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