Finite Group Databasebeta

← Group #11868625

Character table — Group #11868625

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666344666881212121244444121212121212242424242424242444442244448888121212121212121212122244661212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-1-11-111-1-111-1-1111111-1-11-1111-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-111-11-1-111-1-111111111-1-1-11-1-1-1111-1-111-1-1-1-1-11-1
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
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1111-11
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
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-111-11-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111-1-111-1-11-1-1-11-111-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-111-1-1-1111-11-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-20000000022220000-2-200002222000000-2-20000-2-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-20000-22000022-2-2000000220000-220000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-200002-20000-2-2220000002200002-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022220000220000-2-2-2-2000000-2-20000220000000000000
χ2122222-122-12-122-1-122-1-1-122-12-122200222-1-1-1-122-1-1-1-1-1-100002200202200-1-100-12-1-1-1-10020-1-1-1000-1-1000000-100
χ2222222-122-12-122-1-122-1-1-122-12-12-2-200222-1-1-1-122-1-1-1-1-1-10000-2-200-20-2-2001100-12-1-1-1-100-2011100011000000100
χ2322222-122-12-122-1-122-1-1-1-2-2-12-122200-222-1-1-1-1-2-21111110000220020-2-200-1-1001-2-1-11100-20-1-1-100011000000100
χ2422222-122-12-122-1-122-1-1-1-2-2-12-12-2-200-222-1-1-1-1-2-21111110000-2-200-20220011001-2-1-1110020111000-1-1000000-100
χ2522222-122-12-122-1-1-2-2-1-1-122-12-122200-2-2-211-1-122-1-1-1-1-1-10000-2-200202200-1-1001-2111100-2011-1000-1-1000000100
χ2622222-122-12-122-1-1-2-2-1-1-122-12-12-2-200-2-2-211-1-122-1-1-1-1-1-100002200-20-2-20011001-211110020-1-1100011000000-100
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-12-1222002-2-211-1-1-2-21111110000-2-20020-2-200-1-100-1211-1-1002011-100011000000-100
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-12-12-2-2002-2-211-1-1-2-211111100002200-2022001100-1211-1-100-20-1-11000-1-1000000100
χ292222-12222-12-1-12-122-1-1-1222-12-100222-1-122-1-1-1-122-1-1-1-10000002202002200-1-12-1-1-1-1-10002000-1-1-100-1-100000-10
χ302222-12222-12-1-12-122-1-1-1222-12-100-2-22-1-122-1-1-1-122-1-1-1-1000000-2-20-200-2-200112-1-1-1-1-1000-200011100110000010
χ312222-12222-12-1-12-122-1-1-1-2-22-12-10022-2-1-122-1-111-2-21111000000220200-2-200-1-1-21-1-111000-2000-1-1-100110000010
χ322222-12222-12-1-12-122-1-1-1-2-22-12-100-2-2-2-1-122-1-111-2-21111000000-2-20-200220011-21-1-111000200011100-1-100000-10
χ332222-12222-12-1-12-1-2-2-1-1-1222-12-10022-211-2-2-1-1-1-122-1-1-1-1000000-2-202002200-1-1-211111000-2000-11100-1-10000010
χ342222-12222-12-1-12-1-2-2-1-1-1222-12-100-2-2-211-2-2-1-1-1-122-1-1-1-1000000220-200-2-20011-21111100020001-1-1001100000-10
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-12-10022211-2-2-1-111-2-21111000000-2-20200-2-200-1-12-111-1-10002000-111001100000-10
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-12-100-2-2211-2-2-1-111-2-21111000000220-2002200112-111-1-1000-20001-1-100-1-10000010
χ3722-2-2222-22-2-22-2-22002-2-20022-2-20000000002-20000000022-2-22-22-200000000000000002-2002-2002-200000000000
χ3822-2-2222-22-2-22-2-22002-2-20022-2-20000000002-20000000022-2-2-22-2200000000000000002-200-2200-2200000000000
χ3922-2-2222-22-2-22-2-22002-2-20022-2-20000000002-200000000-2-2222-2-220000000000000000-22002-200-2200000000000
χ4022-2-2222-22-2-22-2-22002-2-20022-2-20000000002-200000000-2-222-222-20000000000000000-2200-22002-200000000000
χ4122-2-222-222-2-22-2-222i−2i2-2-200-2-222000002i−2i2i−2i-220000000022-2-200000000000000002i−2i00-220000000000002i−2i00000
χ4222-2-222-222-2-22-2-222i−2i2-2-200-2-222000002i−2i2i−2i-2200000000-2-22200000000000000002i−2i002-2000000000000−2i2i00000
χ4322-2-222-222-2-22-2-22−2i2i2-2-200-2-22200000−2i2i−2i2i-220000000022-2-20000000000000000−2i2i00-22000000000000−2i2i00000
χ4422-2-222-222-2-22-2-22−2i2i2-2-200-2-22200000−2i2i−2i2i-2200000000-2-2220000000000000000−2i2i002-20000000000002i−2i00000
χ452-22-22200-2-22-22-2200-22-2i2−i200002i−2i2-20000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i0000002−2i2−i22i−2i2-200000000000000002−2i2−i2002−2000
χ462-22-22200-2-22-22-2200-22-2i2−i200002i−2i-220000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i0000002−2−i2i22i−2i-2200000000000000002−2−i2i200−22000
χ472-22-22200-2-22-22-2200-22-2i2−i20000−2i2i2-20000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i000000−22i2−i2−2i2i2-20000000000000000−22i2−i200−22000
χ482-22-22200-2-22-22-2200-22-2i2−i20000−2i2i-220000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i000000−22−i2i2−2i2i-220000000000000000−22−i2i2002−2000
χ492-22-22200-2-22-22-2200-22-2−i2i200002i−2i2-20000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i000000−22−i2i22i−2i2-20000000000000000−22−i2i200−22000
χ502-22-22200-2-22-22-2200-22-2−i2i200002i−2i-220000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i000000−22i2−i22i−2i-220000000000000000−22i2−i2002−2000
χ512-22-22200-2-22-22-2200-22-2−i2i20000−2i2i2-20000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i0000002−2−i2i2−2i2i2-200000000000000002−2−i2i2002−2000
χ522-22-22200-2-22-22-2200-22-2−i2i20000−2i2i-220000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i0000002−2i2−i2−2i2i-2200000000000000002−2i2−i200−22000
χ5344444-2-4-4-24-244-2-200-2-2-2002-42-4440000000220000000000000000-400000-2-200000000000000200000000000000
χ5444444-2-4-4-24-244-2-200-2-2-2002-42-4-4-400000002200000000000000004000002200000000000000-200000000000000
χ554444-24-4-44-24-2-24-200-2-2-200-42-420044000002200000000000000000-4000000-2-2000000000000020000000000000
χ564444-24-4-44-24-2-24-200-2-2-200-42-4200-4-40000022000000000000000004000000220000000000000-20000000000000
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
χ6144-4-44-24-4-2-424-42-200-22200-242-4000000000-220000000000004-40000000000000000000000-22000000000000000
χ6244-4-44-24-4-2-424-42-200-22200-242-4000000000-22000000000000-4400000000000000000000002-2000000000000000
χ6344-4-44-2-44-2-424-42-24i−4i-222002-4-24000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6444-4-44-2-44-2-424-42-2−4i4i-222002-4-2400000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ6544-4-4-244-442-4-22-4-200-222004-2-42000000000-22000000000000004-4000000000000000000000000-2200000000000
χ6644-4-4-244-442-4-22-4-200-222004-2-42000000000-2200000000000000-440000000000000000000000002-200000000000
χ6744-4-4-24-4442-4-22-4-24i−4i-22200-424-200000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6844-4-4-24-4442-4-22-4-2−4i4i-22200-424-2000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ6944-4-4-2-2-44-222-22214i−4i1-1-10022-2-200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ7044-4-4-2-2-44-222-22214i−4i1-1-10022-2-200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ7144-4-4-2-2-44-222-2221−4i4i1-1-10022-2-2000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ7244-4-4-2-2-44-222-2221−4i4i1-1-10022-2-2000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ734-44-44-2002-4-2-442-2002-222i2−2i200004i−4i0000000002i2−2i2−i2i2−i2−i2i2i2000000000022−2200−2i2i000000000000000000−22000000000
χ744-44-44-2002-4-2-442-2002-222i2−2i20000−4i4i0000000002i2−2i2−i2i2−i2−i2i2i20000000000−2222002i−2i0000000000000000002−2000000000
χ754-44-44-2002-4-2-442-2002-22−2i22i200004i−4i000000000−2i22i2i2−i2i2i2−i2−i20000000000−222200−2i2i0000000000000000002−2000000000
χ764-44-44-2002-4-2-442-2002-22−2i22i20000−4i4i000000000−2i22i2i2−i2i2i2−i2−i2000000000022−22002i−2i000000000000000000−22000000000
χ774-44-4-2400-4242-2-4-2002-222i2−2i20000004-40000000−i2i22i2−2i2−i2−i2i2i20000000000002i2−2i200-22000000000000000000−i2i20000000
χ784-44-4-2400-4242-2-4-2002-222i2−2i2000000-440000000−i2i22i2−2i2−i2−i2i2i2000000000000−2i22i2002-2000000000000000000i2−i20000000
χ794-44-4-2400-4242-2-4-2002-22−2i22i20000004-40000000i2−i2−2i22i2i2i2−i2−i2000000000000−2i22i200-22000000000000000000i2−i20000000
χ804-44-4-2400-4242-2-4-2002-22−2i22i2000000-440000000i2−i2−2i22i2i2i2−i2−i20000000000002i2−2i2002-2000000000000000000−i2i20000000
χ814-4-444400-44-4-4-44400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-444400-44-4-4-44400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-48-8-444-4442002-2-200-4-4440000000002-200000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ878-8-888-400484-8-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-8-4-8448-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4444-4200-2-220000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ908-8-88-4-4004-4444-4200-2-22000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000

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