Finite Group Databasebeta

← Group #11867831

Character table — Group #11867831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666666688888888888888121212121212121212121616161616162424242424242424242424243636363648487272
order12223344666666366688121212122424242422448888121212124412121212121224242424242424668824242424121212121212244466612121224242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-11-111-1-1111-1-111-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-111-1-1-1-111-111-1-1111-11-1
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111-11-1111-1-11-1-111-1-11-11-1
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-1-11-111-1-1-111-1-111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1-11111-1-11-1-1-1-111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-11-11-1-111-1-1-11111-1-11-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111-11-1-1111-1-1-1-1111-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-111-11-11-1-1-111-11111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-2000022-2-20000-2-2-2-2000000-2-20000002-222000000000000000020000-200-22000000
χ18222222-2-2222222222200-2-2-2-2000022-2-20000-2-2-2-2000000-2-2000000-22220000000000000000-200002002-2000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200002222000000-2-20000002-2-2-2000000000000000020000-2002-2000000
χ20222222-2-2222222222200-2-2-2-20000-2-22200002222000000-2-2000000-22-2-20000000000000000-20000200-22000000
χ2122222-1222-12-1-12-1-1-1-122-12-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-100-1-100-1-1-1-122-1-1-1-122000-1-1-1-100000000000
χ2222222-1222-12-1-12-1-1-1-122-12-12-1-1-1-122222222-1-1-1-1-2-21111-1-122-1-1-1-100-1-100-1-1-1-1-2-21111-2-2000111100000000000
χ2322222-1222-12-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2111122-1-1-1-1-1-122-1-1-1-1001100111122-1-1-1-1-2-2000111100000000000
χ2422222-1222-12-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-21111-2-21111-1-122-1-1-1-10011001111-2-2111122000-1-1-1-100000000000
χ2522222-1222-12-1-12-1-1-1-1-2-2-12-1211112222-2-2-2-2-1-1-1-12-2-1-111-1-1-2-2111100-1-10011112-2-1-111-2200011-1-100000000000
χ2622222-1222-12-1-12-1-1-1-1-2-2-12-1211112222-2-2-2-2-1-1-1-1-2211-1-1-1-1-2-2111100-1-1001111-2211-1-12-2000-1-11100000000000
χ2722222-1222-12-1-12-1-1-1-1-2-2-12-121111-2-2-2-2222211112-2-1-111-1-1-2-21111001100-1-1-1-12-2-1-1112-2000-1-11100000000000
χ2822222-1222-12-1-12-1-1-1-1-2-2-12-121111-2-2-2-222221111-2211-1-1-1-1-2-21111001100-1-1-1-1-2211-1-1-2200011-1-100000000000
χ292222-1222-12-122-1-1-1-1-1222-12-12222000000000000222222-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-10022-10000-1-1-10000-1-100
χ302222-1222-12-122-1-1-1-1-1222-12-12222000000000000222222-1-1-1-1-1-1-1-1-2-200-2-20000-1-1-1-1-1-100-2-21000011100001100
χ312222-1222-12-122-1-1-1-1-1222-12-12222000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1220022000011111100-2-2-10000-1-1-100001100
χ322222-1222-12-122-1-1-1-1-1222-12-12222000000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-200-2-200001111110022100001110000-1-100
χ332222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-20000000000002-222-2-2-1-11111112200-2-20000-11-1-11100-22-10000-11100001-100
χ342222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-20000000000002-222-2-2-1-1111111-2-200220000-11-1-111002-2100001-1-10000-1100
χ352222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-2000000000000-22-2-222-1-11111112200-2-200001-111-1-1002-2-10000-1110000-1100
χ362222-1222-12-122-1-1-1-1-1-2-22-12-1-2-2-2-2000000000000-22-2-222-1-1111111-2-2002200001-111-1-100-22100001-1-100001-100
χ372-2-22222-2-2-2-22-222-2-222i−2i22-2-22i2i−2i−2i2-22-22i2i−2i−2i22-2-20000002-22i−2i2i2i−2i−2i002-2002i2i−2i−2i00000000000000000000000000
χ382-2-22222-2-2-2-22-222-2-222i−2i22-2-22i2i−2i−2i-22-22−2i−2i2i2i-2-2220000002-22i−2i2i2i−2i−2i00-2200−2i−2i2i2i00000000000000000000000000
χ392-2-22222-2-2-2-22-222-2-22−2i2i22-2-2−2i−2i2i2i2-22-2−2i−2i2i2i22-2-20000002-2−2i2i−2i−2i2i2i002-200−2i−2i2i2i00000000000000000000000000
χ402-2-22222-2-2-2-22-222-2-22−2i2i22-2-2−2i−2i2i2i-22-222i2i−2i−2i-2-2220000002-2−2i2i−2i−2i2i2i00-22002i2i−2i−2i00000000000000000000000000
χ412-2-2222-22-2-2-22-222-2-2200-2-22200002-2-220000-2-222000000-22000000002-22-2000000000000000000002-2002-20000
χ422-2-2222-22-2-2-22-222-2-2200-2-22200002-2-220000-2-222000000-22000000002-2-2200000000000000000000-2200-220000
χ432-2-2222-22-2-2-22-222-2-2200-2-2220000-222-2000022-2-2000000-2200000000-222-2000000000000000000002-200-220000
χ442-2-2222-22-2-2-22-222-2-2200-2-2220000-222-2000022-2-2000000-2200000000-22-2200000000000000000000-22002-20000
χ452-2-222-12-2-21-2-112-111-12i−2i-121-2−i−iii2-22-22i2i−2i−2i-1-111003−3−i3i3-112i−2i−i−iii00-1100−i−iii003−3−i3i300000−i3i33−300000000000
χ462-2-222-12-2-21-2-112-111-12i−2i-121-2−i−iii2-22-22i2i−2i−2i-1-11100−33i3−i3-112i−2i−i−iii00-1100−i−iii00−33i3−i300000i3−i3−3300000000000
χ472-2-222-12-2-21-2-112-111-12i−2i-121-2−i−iii-22-22−2i−2i2i2i11-1-1003−3−i3i3-112i−2i−i−iii001-100ii−i−i003−3−i3i300000i3−i3−3300000000000
χ482-2-222-12-2-21-2-112-111-12i−2i-121-2−i−iii-22-22−2i−2i2i2i11-1-100−33i3−i3-112i−2i−i−iii001-100ii−i−i00−33i3−i300000−i3i33−300000000000
χ492-2-222-12-2-21-2-112-111-1−2i2i-121-2ii−i−i2-22-2−2i−2i2i2i-1-111003−3i3−i3-11−2i2iii−i−i00-1100ii−i−i003−3i3−i300000i3−i33−300000000000
χ502-2-222-12-2-21-2-112-111-1−2i2i-121-2ii−i−i2-22-2−2i−2i2i2i-1-11100−33−i3i3-11−2i2iii−i−i00-1100ii−i−i00−33−i3i300000−i3i3−3300000000000
χ512-2-222-12-2-21-2-112-111-1−2i2i-121-2ii−i−i-22-222i2i−2i−2i11-1-1003−3i3−i3-11−2i2iii−i−i001-100−i−iii003−3i3−i300000−i3i3−3300000000000
χ522-2-222-12-2-21-2-112-111-1−2i2i-121-2ii−i−i-22-222i2i−2i−2i11-1-100−33−i3i3-11−2i2iii−i−i001-100−i−iii00−33−i3i300000i3−i33−300000000000
χ5344444-2-4-44-24-2-24-2-2-2-2002-42-4000044-4-4000022220000002200000000-2-200000000000000000000000000000000
χ5444444-2-4-44-24-2-24-2-2-2-2002-42-40000-4-4440000-2-2-2-200000022000000002200000000000000000000000000000000
χ554444-24-4-4-24-244-2-2-2-2-200-42-420000000000000000000000220000004-4000000000000000000-2000020000000000
χ564444-24-4-4-24-244-2-2-2-2-200-42-42000000000000000000000022000000-4400000000000000000020000-20000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000000044-2-2-2-211-2-211110000000000-2-2111100000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000000000-4-4222211-2-21111000000000022-1-1-1-100000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000000000004-4-2-2221122-1-1-1-10000000000-2211-1-100000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000000000-4422-2-21122-1-1-1-100000000002-2-1-11100000000000000000000
χ6144-4-4440044-4-4-4-44-44-40000000000000022−2222−2200000000000000000000000022−2222−2200000000000000000000000000
χ6244-4-4440044-4-4-4-44-44-400000000000000−2222−2222000000000000000000000000−2222−222200000000000000000000000000
χ6344-4-44-2004-2-422-4-22-220000006−66−6000022−2222−2223−2323−2300000000006−66−6000000−22−2200000000000000000000000000
χ6444-4-44-2004-2-422-4-22-220000006−66−60000−2222−2222−2323−232300000000006−66−60000002−22−200000000000000000000000000
χ6544-4-44-2004-2-422-4-22-22000000−66−66000022−2222−22−2323−23230000000000−66−66000000−22−2200000000000000000000000000
χ6644-4-44-2004-2-422-4-22-22000000−66−660000−2222−222223−2323−230000000000−66−660000002−22−200000000000000000000000000
χ674-44-44400-4-44-44-444-4-400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ684-44-44400-4-44-44-444-4-4000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ694-44-44-200-4242-2-4-2-222000000i6−i6−i6i60000−2i22i22i2−2i2−232323−230000000000i6−i6−i6i6000000i2−i2−i2i200000000000000000000000000
χ704-44-44-200-4242-2-4-2-222000000i6−i6−i6i600002i2−2i2−2i22i223−23−23230000000000i6−i6−i6i6000000−i2i2i2−i200000000000000000000000000
χ714-44-44-200-4242-2-4-2-222000000−i6i6i6−i60000−2i22i22i2−2i223−23−23230000000000−i6i6i6−i6000000i2−i2−i2i200000000000000000000000000
χ724-44-44-200-4242-2-4-2-222000000−i6i6i6−i600002i2−2i2−2i22i2−232323−230000000000−i6i6i6−i6000000−i2i2i2−i200000000000000000000000000
χ734-4-444-2-44-42-4-224-222-2002-4-2400004-4-44000022-2-20000002-200000000-2200000000000000000000000000000000
χ744-4-444-2-44-42-4-224-222-2002-4-240000-444-40000-2-2220000002-2000000002-200000000000000000000000000000000
χ754-4-44-244-42-424-4-2-222-24i−4i4-2-424i4i−4i−4i000000000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ764-4-44-244-42-424-4-2-222-2−4i4i4-2-42−4i−4i4i4i000000000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000
χ774-4-44-24-442-424-4-2-222-200-424-200000000000000000000002-200000000004-400000000000000000000-2200000000
χ784-4-44-24-442-424-4-2-222-200-424-200000000000000000000002-20000000000-44000000000000000000002-200000000
χ794-4-44-2-24-4222-22-21-1-114i−4i-2-222−2i−2i2i2i0000000000000023−23−2i32i31-1−2i2iii−i−i000000000000−33i3−i300000000000000000000
χ804-4-44-2-24-4222-22-21-1-114i−4i-2-222−2i−2i2i2i00000000000000−23232i3−2i31-1−2i2iii−i−i0000000000003−3−i3i300000000000000000000
χ814-4-44-2-24-4222-22-21-1-11−4i4i-2-2222i2i−2i−2i0000000000000023−232i3−2i31-12i−2i−i−iii000000000000−33−i3i300000000000000000000
χ824-4-44-2-24-4222-22-21-1-11−4i4i-2-2222i2i−2i−2i00000000000000−2323−2i32i31-12i−2i−i−iii0000000000003−3i3−i300000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-422220044440000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-8-4800-484-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-444442-22-200000026−2626−260000000000000000000000−66−66000000000000000000000000000000000000
χ8688-8-8-4-400-4-444442-22-2000000−2626−262600000000000000000000006−66−6000000000000000000000000000000000000
χ878-88-8-48004-8-4-884-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-4422-2-20000002i6−2i6−2i62i60000000000000000000000−i6i6i6−i6000000000000000000000000000000000000
χ898-88-8-4-40044-44-4422-2-2000000−2i62i62i6−2i60000000000000000000000i6−i6−i6i6000000000000000000000000000000000000
χ908-8-88-4-4-88444-44-42-2-220044-4-40000000000000000000000-22000000000000000000000000000000000000000000

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