Finite Group Databasebeta

← Group #11872518

Character table — Group #11872518

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212124121212121212121224242424242422244466881212242424241212121212446681212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-1-111111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-11-1-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-1111-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-11111-1-1-111-1-11-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-111111-111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111111-1-111-1111-1-1-1-1-11-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111111-1-111-1-1111-1-111-1111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000002-200220022000000000000000000-200-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-2200-2-20022000000000000000000200200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000002-2002200-2-2000000000000000000-200200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000-2200-2-200-2-2000000000000000000200-2002000
χ2122222-1222-1-1-122-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-12200000022-1-1-1-1-1-12-1-1-1-120-1-10-1-1000000000000
χ2222222-1222-1-1-122-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2000000-2-21111112-1-1-1-1-2011011000000000000
χ2322222-1222-1-1-122-122-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-11122-1-1-2-2111122000000-2-2-1-11111-2-1-111-20-1-1011000000000000
χ2422222-1222-1-1-122-122-1-1-1-2-2-12-121111-2-2-2-21111-2-1-11122-1-1-2-21111-2-20000002211-1-1-1-1-2-1-11120110-1-1000000000000
χ2522222-1222-1-1-122-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-200000022-1-1-1-1-1-1-21111-2011011000000000000
χ2622222-1222-1-1-122-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-122000000-2-2111111-2111120-1-10-1-1000000000000
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-1211-1-1-2-2-1-1-2-21111-2-2000000-2-2-1-11111211-1-120110-1-1000000000000
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-12-121111-2-2-2-21111211-1-1-2-2-1-1-2-21111220000002211-1-1-1-1211-1-1-20-1-1011000000000000
χ292222-1222-1222-1-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-1002222-1-100000000-1-1-1-1-10200200-1-1-1-1-10000-100
χ302222-1222-1222-1-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-21100000000-1-1-1-1-10-200-200111110000100
χ312222-1222-1222-1-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-2-2-1-1-1-1111111002222-1-1000000001-1-1110-200-200-1-1-1110000100
χ322222-1222-1222-1-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-2-2-1-1-1-111111100-2-2-2-211000000001-1-1110200200111-1-10000-100
χ332222-1222-1222-1-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-10022-2-2-1-100000000111110-20020011-1-1-10000100
χ342222-1222-1222-1-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-2-2221100000000111110200-200-1-11110000-100
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-22211-1-11111110022-2-2-1-100000000-111-1-10200-20011-1110000-100
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-22211-1-111111100-2-2221100000000-111-1-10-200200-1-11-1-10000100
χ372-22-2222-2-2-2-22-222002-2-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-200000000002i−2i00002i−2i00000000000000002i−2i00002-20000
χ382-22-2222-2-2-2-22-222002-2-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000000000−2i2i00002i−2i0000000000000000−2i2i0000-220000
χ392-22-2222-2-2-2-22-222002-2-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-200000000002i−2i0000−2i2i00000000000000002i−2i0000-220000
χ402-22-2222-2-2-2-22-222002-2-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000000000−2i2i0000−2i2i0000000000000000−2i2i00002-20000
χ412-22-222-22-2-2-22-2222i−2i2-2-20022-2-200002i−2i−2i2i−2i−2i2i2i02i−2i002i−2i-220000002-2000000002i−2i000002i−2i00002-2000000000000000
χ422-22-222-22-2-2-22-2222i−2i2-2-20022-2-20000−2i2i2i−2i2i2i−2i−2i02i−2i002i−2i-22000000-2200000000−2i2i000002i−2i0000-22000000000000000
χ432-22-222-22-2-2-22-222−2i2i2-2-20022-2-200002i−2i−2i2i−2i−2i2i2i0−2i2i00−2i2i-22000000-22000000002i−2i00000−2i2i0000-22000000000000000
χ442-22-222-22-2-2-22-222−2i2i2-2-20022-2-20000−2i2i2i−2i2i2i−2i−2i0−2i2i00−2i2i-220000002-200000000−2i2i00000−2i2i00002-2000000000000000
χ452-22-22-1-22-211-1-22-12i−2i-11100-121-2−i3−i3i3i32i−2i−2i2iii−i−i0−ii3−32i−2i1-100−i3−i3i3i32-200000000−ii33−3−30−ii3−300-110−i3i3000000000000
χ462-22-22-1-22-211-1-22-12i−2i-11100-121-2−i3−i3i3i3−2i2i2i−2i−i−iii0−ii3−32i−2i1-100−i3−i3i3i3-2200000000i−i−3−3330−ii3−3001-10i3−i3000000000000
χ472-22-22-1-22-211-1-22-12i−2i-11100-121-2i3i3−i3−i32i−2i−2i2iii−i−i0−ii−332i−2i1-100i3i3−i3−i32-200000000−ii−3−3330−ii−3300-110i3−i3000000000000
χ482-22-22-1-22-211-1-22-12i−2i-11100-121-2i3i3−i3−i3−2i2i2i−2i−i−iii0−ii−332i−2i1-100i3i3−i3−i3-2200000000i−i33−3−30−ii−33001-10−i3i3000000000000
χ492-22-22-1-22-211-1-22-1−2i2i-11100-121-2−i3−i3i3i32i−2i−2i2iii−i−i0i−i−33−2i2i1-100−i3−i3i3i3-2200000000−ii33−3−30i−i−33001-10i3−i3000000000000
χ502-22-22-1-22-211-1-22-1−2i2i-11100-121-2−i3−i3i3i3−2i2i2i−2i−i−iii0i−i−33−2i2i1-100−i3−i3i3i32-200000000i−i−3−3330i−i−3300-110−i3i3000000000000
χ512-22-22-1-22-211-1-22-1−2i2i-11100-121-2i3i3−i3−i32i−2i−2i2iii−i−i0i−i3−3−2i2i1-100i3i3−i3−i3-2200000000−ii−3−3330i−i3−3001-10−i3i3000000000000
χ522-22-22-1-22-211-1-22-1−2i2i-11100-121-2i3i3−i3−i3−2i2i2i−2i−i−iii0i−i3−3−2i2i1-100i3i3−i3−i32-200000000i−i33−3−30i−i3−300-110i3−i3000000000000
χ5344444-2-4-44-2-2-244-200-2-2-2002-42-4000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ5444444-2-4-44-2-2-244-200-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
χ554444-24-4-4-2444-2-2-200-2-2-200-42-42000000000000000000022000000004-400-2-200000000000000000000002000000000
χ564444-24-4-4-2444-2-2-200-2-2-200-42-4200000000000000000002200000000-4400220000000000000000000000-2000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-4440044-4-4-4-4400-44-40000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ6244-4-4440044-4-4-4-4400-44-400000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ6344-4-44-2004-222-4-4-2002-220000006−66−6000023−2323−23000000000006−66−60000000022−2200−22−22000000000000000000000000
χ6444-4-44-2004-222-4-4-2002-220000006−66−60000−2323−2323000000000006−66−600000000−2222002−22−2000000000000000000000000
χ6544-4-44-2004-222-4-4-2002-22000000−66−66000023−2323−2300000000000−66−6600000000−2222002−22−2000000000000000000000000
χ6644-4-44-2004-222-4-4-2002-22000000−66−660000−2323−232300000000000−66−660000000022−2200−22−22000000000000000000000000
χ674-44-44-24-4-422-2-44-200-222002-4-2400004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ684-44-44-24-4-422-2-44-200-222002-4-240000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ694-44-4-244-42-4-442-2-200-22200-424-20000000000000000000-2200000000004i−4i0000000000000000000000−2i2i0000000000
χ704-44-4-244-42-4-442-2-200-22200-424-20000000000000000000-220000000000−4i4i00000000000000000000002i−2i0000000000
χ714-44-4-24-442-4-442-2-24i−4i-222004-2-4200000000000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000
χ724-44-4-24-442-4-442-2-2−4i4i-222004-2-420000000000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000
χ734-44-4-2-2-44222-22-214i−4i1-1-100-2-222−2i3−2i32i32i3000000000−2i2i23−23−2i2i-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ744-44-4-2-2-44222-22-214i−4i1-1-100-2-2222i32i3−2i3−2i3000000000−2i2i−2323−2i2i-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ754-44-4-2-2-44222-22-21−4i4i1-1-100-2-222−2i3−2i32i32i30000000002i−2i−23232i−2i-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ764-44-4-2-2-44222-22-21−4i4i1-1-100-2-2222i32i3−2i3−2i30000000002i−2i23−232i−2i-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ774-4-444400-4-44-44-4400-4-44−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-4-44-44-4400-4-442i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-200-42-224-4-20022-2−2i22i20000i2−i2−i2i20000−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i2000000000000−666−6000000000000000000000000
χ804-4-444-200-42-224-4-20022-2−2i22i20000i2−i2−i2i200002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i20000000000006−6−66000000000000000000000000
χ814-4-444-200-42-224-4-20022-22i2−2i20000−i2i2i2−i20000−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i20000000000006−6−66000000000000000000000000
χ824-4-444-200-42-224-4-20022-22i2−2i20000−i2i2i2−i200002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i2000000000000−666−6000000000000000000000000
χ834-4-44-24002-44-4-22-20022-2−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ844-4-44-24002-44-4-22-20022-2−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ854-4-44-24002-44-4-22-20022-22i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ864-4-44-24002-44-4-22-20022-22i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4800-48-8-844-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444200-22-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444200-22-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-48-8444-44-42002-2-20044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44200-2-22−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44200-2-224i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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