Finite Group Databasebeta

← Group #11870592

Character table — Group #11870592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order1222334444666666236661212121212121212446666121212124444224444448888888812121212121212124444661212121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1
χ511111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111
χ9111111-1-111111111-11111-1-1-1-111111-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1-11-11-1-11111-1-111-1-111-1-111-1-111-1-1-1-11
χ10111111-1-111111111-11111-1-1-1-111111-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-11-11-1-11111-1-1-1-111-1-111-1-111-1-111-1-11
χ11111111-1-111111111-11111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-11-1-111-1-1111111-1-1-1-111-1-1-1-11111-1
χ12111111-1-111111111-11111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-1-111-1-111-1-1-1-11111-1-11111-1-111-1
χ13111111-1-111111111-11111-1-1-1-11111-11-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-11-111-1-111-1-111-1-111-1-1-1-111-1-111-11-1
χ14111111-1-111111111-11111-1-1-1-11111-11-1-1-1-111-1-11111-1-111-1-11111-1-111-1-11-11-111-1-111-1-1-1-111-1-11111-1-111-1-1-11-1
χ15111111-1-111111111-11111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-11-111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11
χ16111111-1-111111111-11111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-11
χ1722222222-2-2222222-222222222-2-2-2-200-2-2-2-2-2-2222222000000000000000000000000-2-2220000000000000000-200
χ1822222222-2-2222222-222222222-2-2-2-200-2-2-2-2-2-222-2-2-2-200000000000000000000000022-2-20000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2002222-2-2-2-22222000000000000000000000000-2-2-2-20000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2002222-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000-200
χ2122222-12222-1-1222-12-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-100002222000022220000-122-1-1-1-1-10000-1-10000-1-1-1-1-1-10000000
χ2222222-12222-1-1222-12-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-20000-122-1-1-1-1-100001100001111110000000
χ2322222-12222-1-1222-12-1-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-1000022220000-2-2-2-200001-2-2111110000-1-10000-1-111110000000
χ2422222-12222-1-1222-12-1-1-1-122-1-122-1-1-2-22-1-1-1-1-1-1-10000-2-2-2-20000222200001-2-211111000011000011-1-1-1-10000000
χ2522222-1-2-222-1-1222-1-2-1-1-1-1-2-21122-1-12-2-2111-1-111000022-2-2000022-2-2000012-2-111-1-10000-1-1000011-1-1110000000
χ2622222-1-2-222-1-1222-1-2-1-1-1-1-2-21122-1-12-2-2111-1-1110000-2-2220000-2-222000012-2-111-1-10000110000-1-111-1-10000000
χ2722222-1-2-222-1-1222-1-2-1-1-1-1-2-21122-1-1-22-2111-1-111000022-2-20000-2-2220000-1-221-1-1110000-1-100001111-1-10000000
χ2822222-1-2-222-1-1222-1-2-1-1-1-1-2-21122-1-1-22-2111-1-1110000-2-222000022-2-20000-1-221-1-1110000110000-1-1-1-1110000000
χ292222-12222222-1-1-122-1-1-1-1-1-122-1-12222-12-1-1-1-1-1-1000000002222000022222-1-12-1-1-1-1000000-1-1-1-1000000-1-1-1-1000
χ302222-12222222-1-1-122-1-1-1-1-1-122-1-12222-12-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-22-1-12-1-1-1-100000011110000001111000
χ312222-12222222-1-1-122-1-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-10000000022220000-2-2-2-2-211-21111000000-1-1-1-10000001111000
χ322222-12222222-1-1-122-1-1-1-1-1-122-1-122-2-2-12-1-1-1-1-1-100000000-2-2-2-200002222-211-211110000001111000000-1-1-1-1000
χ332222-12-2-22222-1-1-12-2-1-1-1-111-2-2-1-1222-21-211-1-1110000000022-2-2000022-2-2-2-11211-1-100000011-1-1000000-1-111000
χ342222-12-2-22222-1-1-12-2-1-1-1-111-2-2-1-1222-21-211-1-11100000000-2-2220000-2-222-2-11211-1-1000000-1-11100000011-1-1000
χ352222-12-2-22222-1-1-12-2-1-1-1-111-2-2-1-122-221-211-1-1110000000022-2-20000-2-22221-1-2-1-11100000011-1-100000011-1-1000
χ362222-12-2-22222-1-1-12-2-1-1-1-111-2-2-1-122-221-211-1-11100000000-2-222000022-2-221-1-2-1-111000000-1-111000000-1-111000
χ3722-2-222002-2-2-22-2-2202-2-2200002-22-20000002-2002i2i−2i−2i002-2002i−2i00000000000000002i−2i00002i−2i002-200000000000
χ3822-2-222002-2-2-22-2-2202-2-2200002-22-20000002-2002i2i−2i−2i00-2200−2i2i00000000000000002i−2i0000−2i2i00-2200000000000
χ3922-2-222002-2-2-22-2-2202-2-2200002-22-20000002-200−2i−2i2i2i002-200−2i2i0000000000000000−2i2i0000−2i2i002-200000000000
χ4022-2-222002-2-2-22-2-2202-2-2200002-22-20000002-200−2i−2i2i2i00-22002i−2i0000000000000000−2i2i00002i−2i00-2200000000000
χ4122-2-22200-22-2-22-2-2202-2-220000-22-22000000-22002i2i−2i−2i2-2002i−2i000000000000000000−2i2i002-2002i−2i0000000000000
χ4222-2-22200-22-2-22-2-2202-2-220000-22-22000000-22002i2i−2i−2i-2200−2i2i000000000000000000−2i2i00-2200−2i2i0000000000000
χ4322-2-22200-22-2-22-2-2202-2-220000-22-22000000-2200−2i−2i2i2i2-200−2i2i0000000000000000002i−2i002-200−2i2i0000000000000
χ4422-2-22200-22-2-22-2-2202-2-220000-22-22000000-2200−2i−2i2i2i-22002i−2i0000000000000000002i−2i00-22002i−2i0000000000000
χ452-22-2222i−2i00-22-2-22-202-22-22i−2i2i−2i0000000000002i−2i2-22-200000000i2−i22−2i2−i22−200000000002i−2i00000000i2−i22−2i2−i22−2000
χ462-22-2222i−2i00-22-2-22-202-22-22i−2i2i−2i0000000000002i−2i2-22-200000000−i2i2−22−i2i2−2200000000002i−2i00000000−i2i2−22−i2i2−22000
χ472-22-2222i−2i00-22-2-22-202-22-22i−2i2i−2i0000000000002i−2i-22-2200000000i2−i22−2−i2i2−220000000000−2i2i00000000i2−i22−2−i2i2−22000
χ482-22-2222i−2i00-22-2-22-202-22-22i−2i2i−2i0000000000002i−2i-22-2200000000−i2i2−22i2−i22−20000000000−2i2i00000000−i2i2−22i2−i22−2000
χ492-22-222−2i2i00-22-2-22-202-22-2−2i2i−2i2i000000000000−2i2i2-22-200000000i2−i2−22i2−i2−220000000000−2i2i00000000i2−i2−22i2−i2−22000
χ502-22-222−2i2i00-22-2-22-202-22-2−2i2i−2i2i000000000000−2i2i2-22-200000000−i2i22−2−i2i22−20000000000−2i2i00000000−i2i22−2−i2i22−2000
χ512-22-222−2i2i00-22-2-22-202-22-2−2i2i−2i2i000000000000−2i2i-22-2200000000i2−i2−22−i2i22−200000000002i−2i00000000i2−i2−22−i2i22−2000
χ522-22-222−2i2i00-22-2-22-202-22-2−2i2i−2i2i000000000000−2i2i-22-2200000000−i2i22−2i2−i2−2200000000002i−2i00000000−i2i22−2i2−i2−22000
χ5344444-244-4-4-2-2444-2-4-2-2-2-244-2-2-4-42200-422222-2-2000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-2444-24-2-2-2-2-4-422-4-422004-2-2-22222000000000000000000000000000000000000000000000000000
χ554444-2444-4-444-2-2-24-4-2-2-2-2-2-24422-4-4002-42222-2-2000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-444-2-2-244-2-2-2-222-4-422-4-400-24-2-22222000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-2-2-2111100000000000000000000000
χ584444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2-4-4-2-2111111000000000000000000002222-1-1-1-100000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-41111-2-2-2-222220022-1-1-1-1110000000000000000000000003-33-300000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-41111-2-2-2-222220022-1-1-1-111000000000000000000000000-33-3300000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-411112222-2-2-2-24-422-1-111-1-1000000000000000000002-22-2-1-11100000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-411112222-2-2-2-2-4422-1-111-1-100000000000000000000-22-2211-1-100000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-211-1-1-1-10000000000000000000000003-3-3300000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-211-1-1-1-1000000000000000000000000-333-300000000000000000000000
χ6544-4-44-2004-4224-4-4-20-222-200004-4-22000000-22000000004-4000000000000000000000000000000-2200000000000
χ6644-4-44-2004-4224-4-4-20-222-200004-4-22000000-2200000000-440000000000000000000000000000002-200000000000
χ6744-4-44-200-44224-4-4-20-222-20000-442-20000002-20000004-400000000000000000000000000-2200000000000000000
χ6844-4-44-200-44224-4-4-20-222-20000-442-20000002-2000000-44000000000000000000000000002-200000000000000000
χ6944-4-4-24004-4-4-4-22240-222-20000-224-4000000-220000000000004i−4i0000000000000000000000−2i2i000000000000000
χ7044-4-4-24004-4-4-4-22240-222-20000-224-4000000-22000000000000−4i4i00000000000000000000002i−2i000000000000000
χ7144-4-4-2400-44-4-4-22240-222-200002-2-440000002-200000000004i−4i00000000000000000000000000−2i2i0000000000000
χ7244-4-4-2400-44-4-4-22240-222-200002-2-440000002-20000000000−4i4i000000000000000000000000002i−2i0000000000000
χ734-44-44-24i−4i002-2-4-4420-22-224i−4i−2i2i000000000000−2i2i0000000000002i2−2i222−22000000000000000000000000−i2i2−220000000
χ744-44-44-24i−4i002-2-4-4420-22-224i−4i−2i2i000000000000−2i2i000000000000−2i22i2−2222000000000000000000000000i2−i22−20000000
χ754-44-44-2−4i4i002-2-4-4420-22-22−4i4i2i−2i0000000000002i−2i0000000000002i2−2i2−2222000000000000000000000000−i2i22−20000000
χ764-44-44-2−4i4i002-2-4-4420-22-22−4i4i2i−2i0000000000002i−2i000000000000−2i22i222−22000000000000000000000000i2−i2−220000000
χ774-44-4-244i−4i00-4422-2-40-22-22−2i2i4i−4i000000000000−2i2i00000000000000002i2−2i222−22000000000000000000000000−i2i2−22000
χ784-44-4-244i−4i00-4422-2-40-22-22−2i2i4i−4i000000000000−2i2i0000000000000000−2i22i2−2222000000000000000000000000i2−i22−2000
χ794-44-4-24−4i4i00-4422-2-40-22-222i−2i−4i4i0000000000002i−2i00000000000000002i2−2i2−2222000000000000000000000000−i2i22−2000
χ804-44-4-24−4i4i00-4422-2-40-22-222i−2i−4i4i0000000000002i−2i0000000000000000−2i22i222−22000000000000000000000000i2−i2−22000
χ814-4-444400004-4-44-4-4044-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ824-4-444400004-4-44-4-4044-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ8388-8-8-4-4008-844-444-402-2-220000-44-440000002-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-8844-444-402-2-2200004-44-4000000-2200000000000000000000000000000000000000000000000000000
χ858-88-8-4-48i−8i004-444-4402-22-2−4i4i−4i4i0000000000002i−2i000000000000000000000000000000000000000000000000000
χ868-88-8-4-4−8i8i004-444-4402-22-24i−4i4i−4i000000000000−2i2i000000000000000000000000000000000000000000000000000
χ878-8-888-40000-44-88-840-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800008-84-44-80-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000-444-444022-2-20000000000006-60000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40000-444-444022-2-2000000000000-660000000000000000000000000000000000000000000000000000000

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