Finite Group Databasebeta

← Group #11870667

Character table — Group #11870667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666344666881212121244444121212121212242424242424242444442444448888121212121212121212124424612121212122424242422886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-11-111-1-11-1-111-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-11-111-1-1-1-11111-1-1111111-1-11-11-1-111-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-11-1-111-1-1111-1-1-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-111-1-1-1-1-111-1-111-1-1-111-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-1-1-111111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-11-1-1-111111-1-11111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-111-1-11-1111-1-1-1-1-11111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-11111-11111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-2-2000000002222000000-2-200-20000-200000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-22-200000000-2-222000000220020000-200000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2-220000000022-2-20000002200-20000200000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222200000000-2-2-2-2000000-2-20020000200000000000
χ2122222-122-1-122-12-122-1-1-1222-1-1200222-1-122-1-1-1-122-1-1-1-100002022000022-1-1002-1-1-1-1-10020-100-1-10-1-1000000-100
χ2222222-122-1-122-12-122-1-1-1222-1-1200-2-22-1-122-1-1-1-122-1-1-1-10000-20-2-20000-2-211002-1-1-1-1-100-2010011011000000100
χ2322222-122-1-122-12-122-1-1-1-2-22-1-120022-2-1-122-1-111-2-21111000020220000-2-2-1-100-21-1-11100-20-100-1-1011000000100
χ2422222-122-1-122-12-122-1-1-1-2-22-1-1200-2-2-2-1-122-1-111-2-211110000-20-2-20000221100-21-1-1110020100110-1-1000000-100
χ2522222-122-1-122-12-1-2-2-1-1-1222-1-120022-211-2-2-1-1-1-122-1-1-1-1000020-2-2000022-1-100-21111100-20-100110-1-1000000100
χ2622222-122-1-122-12-1-2-2-1-1-1222-1-1200-2-2-211-2-2-1-1-1-122-1-1-1-10000-20220000-2-21100-2111110020100-1-1011000000-100
χ2722222-122-1-122-12-1-2-2-1-1-1-2-22-1-120022211-2-2-1-111-2-21111000020-2-20000-2-2-1-1002-111-1-10020-10011011000000-100
χ2822222-122-1-122-12-1-2-2-1-1-1-2-22-1-1200-2-2211-2-2-1-111-2-211110000-202200002211002-111-1-100-20100-1-10-1-1000000100
χ292222-122222-1-12-1-122-1-1-122-122-12200222-1-1-1-122-1-1-1-1-1-10000020022220000-1-1-12-1-1-1-100020-1-100-100-1-100000-10
χ302222-122222-1-12-1-122-1-1-122-122-1-2-200222-1-1-1-122-1-1-1-1-1-100000-200-2-2-2-2000011-12-1-1-1-1000-201100100110000010
χ312222-122222-1-12-1-122-1-1-1-2-2-122-12200-222-1-1-1-1-2-21111110000020022-2-20000-1-11-2-1-111000-20-1-100-100110000010
χ322222-122222-1-12-1-122-1-1-1-2-2-122-1-2-200-222-1-1-1-1-2-211111100000-200-2-2220000111-2-1-111000201100100-1-100000-10
χ332222-122222-1-12-1-1-2-2-1-1-122-122-12200-2-2-211-1-122-1-1-1-1-1-100000200-2-2220000-1-11-21111000-201100-100-1-10000010
χ342222-122222-1-12-1-1-2-2-1-1-122-122-1-2-200-2-2-211-1-122-1-1-1-1-1-100000-20022-2-20000111-2111100020-1-1001001100000-10
χ352222-122222-1-12-1-1-2-2-1-1-1-2-2-122-122002-2-211-1-1-2-211111100000200-2-2-2-20000-1-1-1211-1-1000201100-1001100000-10
χ362222-122222-1-12-1-1-2-2-1-1-1-2-2-122-1-2-2002-2-211-1-1-2-211111100000-2002222000011-1211-1-1000-20-1-100100-1-10000010
χ3722-2-222002-2-2-2-22200-22-2i2−i200002i−2i2i−2i0000000i2−i2i2−i2i2i2−i2−i222-2-20000002−22−22i−2i2i−2i00000000000000002−22−200i2−i2000
χ3822-2-222002-2-2-2-22200-22-2i2−i200002i−2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2-2-2220000002−2−22−2i2i2i−2i0000000000000000−222−200−i2i2000
χ3922-2-222002-2-2-2-22200-22-2i2−i20000−2i2i2i−2i0000000i2−i2i2−i2i2i2−i2−i2-2-222000000−222−22i−2i−2i2i00000000000000002−2−2200−i2i2000
χ4022-2-222002-2-2-2-22200-22-2i2−i20000−2i2i−2i2i0000000i2−i2i2−i2i2i2−i2−i222-2-2000000−22−22−2i2i−2i2i0000000000000000−22−2200i2−i2000
χ4122-2-222002-2-2-2-22200-22-2−i2i200002i−2i2i−2i0000000−i2i2−i2i2−i2−i2i2i222-2-2000000−22−222i−2i2i−2i0000000000000000−22−2200−i2i2000
χ4222-2-222002-2-2-2-22200-22-2−i2i200002i−2i−2i2i0000000−i2i2−i2i2−i2−i2i2i2-2-222000000−222−2−2i2i2i−2i00000000000000002−2−2200i2−i2000
χ4322-2-222002-2-2-2-22200-22-2−i2i20000−2i2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2-2-2220000002−2−222i−2i−2i2i0000000000000000−222−200i2−i2000
χ4422-2-222002-2-2-2-22200-22-2−i2i20000−2i2i−2i2i0000000−i2i2−i2i2−i2−i2i2i222-2-20000002−22−2−2i2i−2i2i00000000000000002−22−200−i2i2000
χ452-2-22222-2-22-22-2-222i−2i2-2-200-22-22000002i−2i2i−2i-22000000002i−2i2i−2i00000000000000002i−2i002i−2i0000000000002-200000
χ462-2-22222-2-22-22-2-222i−2i2-2-200-22-22000002i−2i2i−2i-2200000000−2i2i−2i2i00000000000000002i−2i00−2i2i000000000000-2200000
χ472-2-22222-2-22-22-2-22−2i2i2-2-200-22-2200000−2i2i−2i2i-22000000002i−2i2i−2i0000000000000000−2i2i002i−2i000000000000-2200000
χ482-2-22222-2-22-22-2-22−2i2i2-2-200-22-2200000−2i2i−2i2i-2200000000−2i2i−2i2i0000000000000000−2i2i00−2i2i0000000000002-200000
χ492-2-2222-22-22-22-2-22002-2-2002-22-20000000002-2000000002i−2i2i−2i002i−2i2-200000000000000−2i2i0002-22i−2i000000000000
χ502-2-2222-22-22-22-2-22002-2-2002-22-20000000002-2000000002i−2i2i−2i00−2i2i-2200000000000000−2i2i000-22−2i2i000000000000
χ512-2-2222-22-22-22-2-22002-2-2002-22-20000000002-200000000−2i2i−2i2i002i−2i-22000000000000002i−2i000-222i−2i000000000000
χ522-2-2222-22-22-22-2-22002-2-2002-22-20000000002-200000000−2i2i−2i2i00−2i2i2-2000000000000002i−2i0002-2−2i2i000000000000
χ5344444-2-4-4-2-244-24-200-2-2-200-422-400440000022000000000000-4000000000-2-200000000000020000000000000000
χ5444444-2-4-4-2-244-24-200-2-2-200-422-400-4-40000022000000000000400000000022000000000000-20000000000000000
χ554444-24-4-444-2-24-2-200-2-2-2002-4-42440000000220000000000000-40000000000-2-2000000000000000200000000000
χ564444-24-4-444-2-24-2-200-2-2-2002-4-42-4-400000002200000000000004000000000022000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-200-22-4-424-2002-222i2−2i20000004i−4i0000000−i2i22i2−2i2−i2−i2i2i200000000000022−22−2i2i000000000000000000−22000000000
χ6244-4-44-200-22-4-424-2002-222i2−2i2000000−4i4i0000000−i2i22i2−2i2−i2−i2i2i2000000000000−22222i−2i0000000000000000002−2000000000
χ6344-4-44-200-22-4-424-2002-22−2i22i20000004i−4i0000000i2−i2−2i22i2i2i2−i2−i2000000000000−2222−2i2i0000000000000000002−2000000000
χ6444-4-44-200-22-4-424-2002-22−2i22i2000000−4i4i0000000i2−i2−2i22i2i2i2−i2−i200000000000022−222i−2i000000000000000000−22000000000
χ6544-4-4-24004-422-4-2-2002-222i2−2i200004i−4i0000000002i2−2i2−i2i2−i2−i2i2i2000000000022−220000−2i2i000000000000000000−220000000
χ6644-4-4-24004-422-4-2-2002-222i2−2i20000−4i4i0000000002i2−2i2−i2i2−i2−i2i2i20000000000−222200002i−2i0000000000000000002−20000000
χ6744-4-4-24004-422-4-2-2002-22−2i22i200004i−4i000000000−2i22i2i2−i2i2i2−i2−i20000000000−22220000−2i2i0000000000000000002−20000000
χ6844-4-4-24004-422-4-2-2002-22−2i22i20000−4i4i000000000−2i22i2i2−i2i2i2−i2−i2000000000022−2200002i−2i000000000000000000−220000000
χ694-44-44400-4-44-44-4400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ704-44-44400-4-44-44-4400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ714-4-444-24-42-2-442-4-24i−4i-22200-4-22400000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ724-4-444-24-42-2-442-4-2−4i4i-22200-4-224000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ734-4-444-2-442-2-442-4-200-2220042-2-4000000000-22000000000000004i−4i00000000000000000000000−2i2i000000000000
χ744-4-444-2-442-2-442-4-200-2220042-2-4000000000-2200000000000000−4i4i000000000000000000000002i−2i000000000000
χ754-4-44-244-4-442-2-42-24i−4i-2220024-4-2000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ764-4-44-244-4-442-2-42-2−4i4i-2220024-4-200000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ774-4-44-24-44-442-2-42-200-22200-2-442000000000-2200000000000000004-40000000000000000000-2200000000000000
χ784-4-44-24-44-442-2-42-200-22200-2-442000000000-220000000000000000-4400000000000000000002-200000000000000
χ794-4-44-2-24-42-22-22214i−4i1-1-1002-22-200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ804-4-44-2-24-42-22-22214i−4i1-1-1002-22-200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ814-4-44-2-24-42-22-2221−4i4i1-1-1002-22-2000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ824-4-44-2-24-42-22-2221−4i4i1-1-1002-22-2000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44444-4200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44444-4200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ868-88-88-400448-8-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4800-8-8-4484-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-44200-2-220000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ898-88-8-4-40044-44-44200-2-22000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000
χ908-8-88-4-4-884-44-4442002-2-200-44-440000000002-200000000000000000000000000000000000000000000000000000

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