Finite Group Databasebeta

← Group #11895745

Character table — Group #11895745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666634444666121212121212121212121212121212124426666666612121212121212121212121244488121212122244666681212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11111-1-11-11-111-1-1-11-111-1-11111-11-1-1
χ611111111111111111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1-1-111-1-11-1-1111-1-111-1-1-111-1-1-1-11-111
χ711111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1111-1-111-111-1-1-111-1-1111-1-1-1-1-1-1-1111
χ811111111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-1-1-111-11-11-1-1111-11-1-11111111-1-1-1
χ9111111111111111-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-11
χ10111111111111111-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11111-1-111-1-1-1-1-111-1-1-1-111-1-1111-1
χ11111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1111111-1-1-1-11-1
χ12111111111111111-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-11
χ13111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1-11-11-1-111-11-111-1-1-1-1111-11-1
χ14111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-111-1-1-11111-1-1-11111-1-1-11-11
χ15111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-11-1111-1-1111-1-1111-1-1-1-1111-1-111-1-11-1-11
χ16111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111-11-111-1-11-11-1-111-1-111-111-1
χ17222222-2-22222222002-2222-2-2-2000022222222-222000000000-2-200-2-2-2-200002-2-2002222000000000-2-2000000000000
χ18222222-2-22222222002-2222-2-2-2000022222222-2-2-2000000000-2-200-2-2-2-20000-22200-2-2-2-200000000022000000000000
χ19222222-2-2222222200-22222-2-2-20000-2-2-2-2-2-2-2-2-2220000000002200-2-2220000-2-220022-2-2000000000-22000000000000
χ20222222-2-2222222200-22222-2-2-20000-2-2-2-2-2-2-2-2-2-2-20000000002200-2-222000022-200-2-2220000000002-2000000000000
χ2122222-1222-12-12-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122200-1-1-1-12200-1-1-1-10-1-1000000000000
χ2222222-1222-12-12-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-2-2222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2001111-2-2001111011000000000000
χ2322222-1222-12-12-1-122-2-2-1-1-12-1-1-1-1-1-1-2-2111111222-2-2-2111111-2122-1-111-1-1-1-1-22-200-1-1112-200-1-1110-11000000000000
χ2422222-1222-12-12-1-122-2-2-1-1-12-1-1-1-1-1-1-2-21111112-2-2-2-2-2111111-2122-1-111-1-1-1-12-220011-1-1-220011-1-101-1000000000000
χ2522222-1222-12-12-1-1-2-222-1-1-12-1-1111122-1-1-1-1-1-1222-2-2-21111112-1-2-2-1-1-1-1111122200-1-1-1-1-2-20011110-1-1000000000000
χ2622222-1222-12-12-1-1-2-222-1-1-12-1-1111122-1-1-1-1-1-12-2-2-2-2-21111112-1-2-2-1-1-1-11111-2-2-20011112200-1-1-1-1011000000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-12-1-11111-2-2111111222222-1-1-1-1-1-1-21-2-2-1-1111111-22-200-1-111-220011-1-10-11000000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-12-1-11111-2-21111112-2-2222-1-1-1-1-1-1-21-2-2-1-11111112-220011-1-12-200-1-11101-1000000000000
χ2922222-1-2-22-12-12-1-1002-2-1-1-1-211−i3−i3i3i322-1-1-1-1-1-1-222000−i3i3−i3−i3i3i3-21001111−i3−i3i3i32-2-200-1-1-1-10000−i3i3−i3i3011000000000000
χ3022222-1-2-22-12-12-1-1002-2-1-1-1-211−i3−i3i3i322-1-1-1-1-1-1-2-2-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2220011110000i3−i3i3−i30-1-1000000000000
χ3122222-1-2-22-12-12-1-1002-2-1-1-1-211i3i3−i3−i322-1-1-1-1-1-1-222000i3−i3i3i3−i3−i3-21001111i3i3−i3−i32-2-200-1-1-1-10000i3−i3i3−i3011000000000000
χ3222222-1-2-22-12-12-1-1002-2-1-1-1-211i3i3−i3−i322-1-1-1-1-1-1-2-2-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2220011110000−i3i3−i3i30-1-1000000000000
χ3322222-1-2-22-12-12-1-100-22-1-1-1-211−i3−i3i3i3-2-2111111-222000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i3-2-2200-1-1110000−i3i3i3−i301-1000000000000
χ3422222-1-2-22-12-12-1-100-22-1-1-1-211−i3−i3i3i3-2-2111111-2-2-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i322-20011-1-10000i3−i3−i3i30-11000000000000
χ3522222-1-2-22-12-12-1-100-22-1-1-1-211i3i3−i3−i3-2-2111111-222000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i3-2-2200-1-1110000i3−i3−i3i301-1000000000000
χ3622222-1-2-22-12-12-1-100-22-1-1-1-211i3i3−i3−i3-2-2111111-2-2-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i322-20011-1-10000−i3i3i3−i30-11000000000000
χ372222-1222-12-12-12-12222-1-1-1-1222222-1-122-1-1-1-1-1002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100022000000220000200-1-1-1-10000-1-100
χ382222-1222-12-12-12-12222-1-1-1-1222222-1-122-1-1-1-1-1002-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1000-2-2000000-2-20000-200111100001100
χ392222-1222-12-12-12-122-2-2-1-1-1-122222211-2-21111-100-211-2-211111-2-1-1-1-111-1-1-1-1000220000002-20000-200-1-11100001-100
χ402222-1222-12-12-12-122-2-2-1-1-1-122222211-2-21111-100-211-2-211111-2-1-1-1-111-1-1-1-1000-2-2000000-22000020011-1-10000-1100
χ412222-1222-12-12-12-1-2-222-1-1-1-122-2-2-2-2-1-122-1-1-1-1-100-211-2-21111-1211-1-1-1-1111100022000000-2-20000200-1-1-1-100001100
χ422222-1222-12-12-12-1-2-222-1-1-1-122-2-2-2-2-1-122-1-1-1-1-100-211-2-21111-1211-1-1-1-11111000-2-2000000220000-20011110000-1-100
χ432222-1222-12-12-12-1-2-2-2-2-1-1-1-122-2-2-2-211-2-21111-1002-1-122-1-1-1-11-211-1-111111100022000000-220000-200-1-1110000-1100
χ442222-1222-12-12-12-1-2-2-2-2-1-1-1-122-2-2-2-211-2-21111-1002-1-122-1-1-1-11-211-1-1111111000-2-20000002-2000020011-1-100001-100
χ4522-2-222-2222-2-2-2-222i−2i002-2-2-22-22i−2i2i−2i00000000200000000000002i−2i2-2002i−2i2i−2i0000000000000000000000002-22i−2i0000
χ4622-2-222-2222-2-2-2-222i−2i002-2-2-22-22i−2i2i−2i00000000200000000000002i−2i2-2002i−2i2i−2i000000000000000000000000-22−2i2i0000
χ4722-2-222-2222-2-2-2-22−2i2i002-2-2-22-2−2i2i−2i2i0000000020000000000000−2i2i2-200−2i2i−2i2i0000000000000000000000002-2−2i2i0000
χ4822-2-222-2222-2-2-2-22−2i2i002-2-2-22-2−2i2i−2i2i0000000020000000000000−2i2i2-200−2i2i−2i2i000000000000000000000000-222i−2i0000
χ494444-24-4-4-24-24-24-2004-4-2-2-22-4-40000-2-244-2-2-2-22000000000002-4002222000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-200-44-2-2-22-4-4000022-4-42222200000000000-240022-2-2000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-22222-1-1-1-1-200-42222-1-1-1-122-2-211-1-1111100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-444111-2-2-22222-2-2-2-21111-200-42222-1-1-1-1-2-2221111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-4111-2-2-222222222-1-1-1-1-2004-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21004-4111222−2i3−2i32i32i3-2-2-2-21111200000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21004-41112222i32i3−2i3−2i3-2-2-2-211112000002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2100-44111222−2i3−2i32i32i32222-1-1-1-12000002i3−2i3−i3−i3i3i3-2-200-1-111i3i3−i3−i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2100-441112222i32i3−2i3−2i32222-1-1-1-1200000−2i32i3i3i3−i3−i3-2-200-1-111−i3−i3i3i300000000000000000000000000000000
χ5944-4-4444-444-4-4-4-4400004-4-44-44000000000000-4000000000000000-4400000000000000000000000000000000000000
χ6044-4-44-24-44-2-42-42-20000-22242-223−23−232300000000-40000000000000002-20023−23−232300000000000000000000000000000000
χ6144-4-44-24-44-2-42-42-20000-22242-2−232323−2300000000-40000000000000002-200−232323−2300000000000000000000000000000000
χ6244-4-44-2-444-2-42-42-24i−4i00-222-4-22−2i2i−2i2i00000000400000000000004i−4i-2200−2i2i−2i2i00000000000000000000000000000000
χ6344-4-44-2-444-2-42-42-2−4i4i00-222-4-222i−2i2i−2i0000000040000000000000−4i4i-22002i−2i2i−2i00000000000000000000000000000000
χ6444-4-4-244-4-242-42-4-20000-222-2-440000000000002000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000000000
χ6544-4-4-244-4-242-42-4-20000-222-2-4400000000000020002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000000000
χ6644-4-4-24-44-242-42-4-24i−4i00-22224-44i−4i4i−4i00000000-20000000000000−2i2i-2200−2i2i−2i2i00000000000000000000000000000000
χ6744-4-4-24-44-242-42-4-2−4i4i00-22224-4−4i4i−4i4i00000000-200000000000002i−2i-22002i−2i2i−2i00000000000000000000000000000000
χ6844-4-4-2-24-4-2-22222100001-1-1-22-223−23−232300003i3i−3i−3i2000−2i32i300i3−i3i3−i30000-113i−3i−333−300000000000000000000000000000000
χ6944-4-4-2-24-4-2-22222100001-1-1-22-223−23−23230000−3i−3i3i3i20002i3−2i300−i3i3−i3i30000-11−3i3i−333−300000000000000000000000000000000
χ7044-4-4-2-24-4-2-22222100001-1-1-22-2−232323−2300003i3i−3i−3i20002i3−2i300−i3i3−i3i30000-113i−3i3−3−3300000000000000000000000000000000
χ7144-4-4-2-24-4-2-22222100001-1-1-22-2−232323−230000−3i−3i3i3i2000−2i32i300i3−i3i3−i30000-11−3i3i3−3−3300000000000000000000000000000000
χ7244-4-4-2-2-44-2-2222214i−4i001-1-12-22−2i2i−2i2i00003i3i−3i−3i-20000000-333-300−2i2i1-1−3i3ii−ii−i00000000000000000000000000000000
χ7344-4-4-2-2-44-2-2222214i−4i001-1-12-22−2i2i−2i2i0000−3i−3i3i3i-200000003-3-3300−2i2i1-13i−3ii−ii−i00000000000000000000000000000000
χ7444-4-4-2-2-44-2-222221−4i4i001-1-12-222i−2i2i−2i00003i3i−3i−3i-200000003-3-33002i−2i1-1−3i3i−ii−ii00000000000000000000000000000000
χ7544-4-4-2-2-44-2-222221−4i4i001-1-12-222i−2i2i−2i0000−3i−3i3i3i-20000000-333-3002i−2i1-13i−3i−ii−ii00000000000000000000000000000000
χ764-44-44400-4-4-4-44440000-4-4400000000000000004-4000000000000000000000000004-40000000000000000000000000
χ774-44-44400-4-4-4-44440000-4-440000000000000000-4400000000000000000000000000-440000000000000000000000000
χ784-44-44-200-42-424-2-2000022-2000000000−2i32i3−2i32i3−2i32i304-400000000000000000000000000-22−2i32i300000000000000000000000
χ794-44-44-200-42-424-2-2000022-2000000000−2i32i3−2i32i3−2i32i30-44000000000000000000000000002-22i3−2i300000000000000000000000
χ804-44-44-200-42-424-2-2000022-20000000002i3−2i32i3−2i32i3−2i304-400000000000000000000000000-222i3−2i300000000000000000000000
χ814-44-44-200-42-424-2-2000022-20000000002i3−2i32i3−2i32i3−2i30-44000000000000000000000000002-2−2i32i300000000000000000000000
χ824-4-444400-4-444-4-440000-44-400000000000000000000000000000000000000000022−2200000000000000022−220000000000
χ834-4-444400-4-444-4-440000-44-4000000000000000000000000000000000000000000−2222000000000000000−22220000000000
χ844-4-44-24002-4-242-4-200002-22000000023−230023−23−232300000000000000000000000000022−22000000000000000−226−600000000
χ854-4-44-24002-4-242-4-200002-22000000023−230023−23−2323000000000000000000000000000−22220000000000000002−2−6600000000
χ864-4-44-24002-4-242-4-200002-220000000−232300−232323−2300000000000000000000000000022−22000000000000000−22−6600000000
χ874-4-44-24002-4-242-4-200002-220000000−232300−232323−23000000000000000000000000000−22220000000000000002−26−600000000
χ888-88-8-48004-84-8-48-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-420000-2-22000000000−4i34i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004444-4-420000-2-220000000004i3−4i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-848-4-84-400004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-44420000-22-2000000043−4300−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-4-44420000-22-20000000−43430023−23−232300000000000000000000000000000000000000000000000000000000

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