Finite Group Databasebeta

← Group #11870815

Character table — Group #11870815

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212444444444444888888881212121212121212224412121212121212122424242424242424444
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
χ3111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1
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
χ711111111111111111111111111111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111
χ9111111-1-1111111111-1111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-11-1
χ10111111-1-1111111111-1111-1-1-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-11-1
χ11111111-1-1111111111-1111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-11
χ12111111-1-1111111111-1111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-11-11
χ13111111-1-1111111111-1111-1-1-1-11111-11-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11
χ14111111-1-1111111111-1111-1-1-1-11111-11-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11
χ15111111-1-1111111111-1111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1
χ16111111-1-1111111111-1111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1
χ1722222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-2222200000000000000000000000022-2-20000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-200-2-222-2-2-2-2-2-2-2-2000000000000000000000000-2-2220000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-22222000000000000000000000000-2-2-2-20000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2-2-2-2-200000000000000000000000022220000000000000000-200
χ2122222-122222-12-12-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-1000000220022000022222-12-1-1-1-1-1000000-1-100-1-10000-1-1-1-1000
χ2222222-122222-12-12-1-12-1-1-122-1-12-12-1222-1-1-1-1-1-1-1000000-2-200-2-20000-2-2-2-22-12-1-1-1-1-100000011001100001111000
χ2322222-122222-12-12-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-10000002200220000-2-2-2-2-21-211111000000-1-100-1-100001111000
χ2422222-122222-12-12-1-12-1-1-122-1-12-12-1-2-22-1-1-1-1-1-1-1000000-2-200-2-200002222-21-2111110000001100110000-1-1-1-1000
χ2522222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-12-12-2-211111-1-10000002200-2-20000-2-2222-1-21-1-1110000001100-1-1000011-1-1000
χ2622222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-12-12-2-211111-1-1000000-2-20022000022-2-22-1-21-1-111000000-1-100110000-1-111000
χ2722222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-12-1-22-211111-1-10000002200-2-2000022-2-2-212-111-1-10000001100-1-10000-1-111000
χ2822222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-12-1-22-211111-1-1000000-2-200220000-2-222-212-111-1-1000000-1-10011000011-1-1000
χ292222-122222-12-12-12-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-100002200220022220000-12-12-1-1-1-10000-1-100-1-100-1-1-1-10000000
χ302222-122222-12-12-12-12-1-1-1-1-122-12-1222-12-1-1-1-1-1-10000-2-200-2-200-2-2-2-20000-12-12-1-1-1-100001100110011110000000
χ312222-122222-12-12-12-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-1000022002200-2-2-2-200001-21-211110000-1-100-1-10011110000000
χ322222-122222-12-12-12-12-1-1-1-1-122-12-12-2-2-12-1-1-1-1-1-10000-2-200-2-200222200001-21-21111000011001100-1-1-1-10000000
χ332222-12-2-222-12-12-12-1-2-1-1-111-2-2-12-122-21-21111-1-100002200-2-20022-2-20000-121-2-1-11100001100-1-100-1-1110000000
χ342222-12-2-222-12-12-12-1-2-1-1-111-2-2-12-122-21-21111-1-10000-2-2002200-2-2220000-121-2-1-1110000-1-100110011-1-10000000
χ352222-12-2-222-12-12-12-1-2-1-1-111-2-2-12-12-221-21111-1-100002200-2-200-2-22200001-2-1211-1-100001100-1-10011-1-10000000
χ362222-12-2-222-12-12-12-1-2-1-1-111-2-2-12-12-221-21111-1-10000-2-200220022-2-200001-2-1211-1-10000-1-1001100-1-1110000000
χ3722-2-2222-20022-2-2-2-2202-2-22-22-2000000002-2000022-2-2000000002−22−22−22−2000000002-200000000002−22−22−22−2000
χ3822-2-2222-20022-2-2-2-2202-2-22-22-2000000002-2000022-2-200000000−22−22−22−22000000002-20000000000−22−22−22−22000
χ3922-2-2222-20022-2-2-2-2202-2-22-22-2000000002-20000-2-222000000002−22−2−22−2200000000-2200000000002−22−2−22−22000
χ4022-2-2222-20022-2-2-2-2202-2-22-22-2000000002-20000-2-22200000000−22−222−22−200000000-220000000000−22−222−22−2000
χ4122-2-222-220022-2-2-2-2202-2-2-22-2200000000-22000022-2-2000000002−2−222−2−2200000000-2200000000002−2−222−2−22000
χ4222-2-222-220022-2-2-2-2202-2-2-22-2200000000-22000022-2-200000000−222−2−222−200000000-220000000000−222−2−222−2000
χ4322-2-222-220022-2-2-2-2202-2-2-22-2200000000-220000-2-222000000002−2−22−222−2000000002-200000000002−2−22−222−2000
χ4422-2-222-220022-2-2-2-2202-2-2-22-2200000000-220000-2-22200000000−222−22−2−22000000002-20000000000−222−22−2−22000
χ452-22-222002-2-2-2-2-22220-2-2200002-2-22000000002-22i−2i2i−2i002-22i−2i000000000000000000002i−2i2i−2i00002-200000000000
χ462-22-222002-2-2-2-2-22220-2-2200002-2-22000000002-22i−2i2i−2i00-22−2i2i000000000000000000002i−2i−2i2i0000-2200000000000
χ472-22-222002-2-2-2-2-22220-2-2200002-2-22000000002-2−2i2i−2i2i002-2−2i2i00000000000000000000−2i2i−2i2i00002-200000000000
χ482-22-222002-2-2-2-2-22220-2-2200002-2-22000000002-2−2i2i−2i2i00-222i−2i00000000000000000000−2i2i2i−2i0000-2200000000000
χ492-22-22200-22-2-2-2-22220-2-220000-222-200000000-222i−2i2i−2i2-200002i−2i000000000000000000−2i2i002i−2i2-20000000000000
χ502-22-22200-22-2-2-2-22220-2-220000-222-200000000-222i−2i2i−2i-220000−2i2i000000000000000000−2i2i00−2i2i-220000000000000
χ512-22-22200-22-2-2-2-22220-2-220000-222-200000000-22−2i2i−2i2i2-20000−2i2i0000000000000000002i−2i00−2i2i2-20000000000000
χ522-22-22200-22-2-2-2-22220-2-220000-222-200000000-22−2i2i−2i2i-2200002i−2i0000000000000000002i−2i002i−2i-220000000000000
χ5344444-244-4-44-24-24-2-2-4-2-2-244-2-2-42-4200-42-2-22222000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-24-24-2-24-2-2-2-4-422-42-42004-222-2-222000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-24-24-24-2-4-2-2-2-2-2442-42-4002-4-2-22222000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-42-400-2422-2-222000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-2-2-2111100000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000000000000000002222-1-1-1-100000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-10000000000000000000000003-33-300000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222002211-1-1-1-1000000000000000000000000-33-3300000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-24-422-1-1-1-11100000000000000000000-2-22211-1-100000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-2-4422-1-1-1-1110000000000000000000022-2-2-1-11100000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000000000000000003-3-3300000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-1000000000000000000000000-333-300000000000000000000000
χ6544-4-44-24-4004-2-42-42-20-2224-4-2200000000-220000000000000000000022−2222−22000000000000000000000000−22−22000
χ6644-4-44-24-4004-2-42-42-20-2224-4-2200000000-2200000000000000000000−2222−22220000000000000000000000002−22−2000
χ6744-4-44-2-44004-2-42-42-20-222-442-2000000002-20000000000000000000022−22−2222000000000000000000000000−222−2000
χ6844-4-44-2-44004-2-42-42-20-222-442-2000000002-200000000000000000000−222222−220000000000000000000000002−2−22000
χ6944-4-4-244-400-242-42-4-20-222-224-400000000-22000000000000000022−2222−22000000000000000000000000−22−220000000
χ7044-4-4-244-400-242-42-4-20-222-224-400000000-220000000000000000−2222−22220000000000000000000000002−22−20000000
χ7144-4-4-24-4400-242-42-4-20-2222-2-44000000002-2000000000000000022−22−2222000000000000000000000000−222−20000000
χ7244-4-4-24-4400-242-42-4-20-2222-2-44000000002-20000000000000000−222222−220000000000000000000000002−2−220000000
χ734-44-44-2004-4-42-424-2-2022-2000042-4-200000000-220000004-4000000000000000000000000000000-2200000000000
χ744-44-44-2004-4-42-424-2-2022-2000042-4-200000000-22000000-440000000000000000000000000000002-200000000000
χ754-44-44-200-44-42-424-2-2022-20000-4-242000000002-200000000004i−4i0000000000000000000000−2i2i000000000000000
χ764-44-44-200-44-42-424-2-2022-20000-4-242000000002-20000000000−4i4i00000000000000000000002i−2i000000000000000
χ774-44-4-24004-42-42-4-24-2022-20000-2-42400000000-22000000004i−4i0000000000000000000000−2i2i00000000000000000
χ784-44-4-24004-42-42-4-24-2022-20000-2-42400000000-2200000000−4i4i00000000000000000000002i−2i00000000000000000
χ794-44-4-2400-442-42-4-24-2022-2000024-2-4000000002-200004-4000000000000000000000000000000-220000000000000
χ804-44-4-2400-442-42-4-24-2022-2000024-2-4000000002-20000-440000000000000000000000000000002-20000000000000
χ814-4-44440000-4-444-4-440-44-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ824-4-44440000-4-444-4-440-44-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ8388-8-8-4-48-800-4-44444202-2-2-44-44000000002-20000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4-8800-4-44444202-2-24-44-400000000-220000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4008-84444-4-420-2-220000-444-4000000002-2000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-884444-4-420-2-2200004-4-4400000000-22000000000000000000000000000000000000000000000000000
χ878-8-888-40000-848-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800004-8-484-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4000044-4-44420-22-2000000000000006-600000000000000000000000000000000000000000000000000000
χ908-8-88-4-4000044-4-44420-22-200000000000000-6600000000000000000000000000000000000000000000000000000

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