Finite Group Databasebeta

← Group #11873381

Character table — Group #11873381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444488888888888899991818181818181818181818181818181818181818181824242424242424244848484848484848
order1222444444336666661212121212121212121212122222444444888888888888888822224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ17222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000000000000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000000000000
χ2122-2-2002-200222-22-2-2-2000022-2-2000022-2-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ2222-2-2002-200222-22-2-2-2000022-2-2000022-2-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ2322-2-2002-200222-22-2-2-2000022-2-20000-2-222-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ2422-2-2002-200222-22-2-2-2000022-2-20000-2-222-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ2522-2-200-2200222-22-2-2-20000-2-222000022-2-2-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ2622-2-200-2200222-22-2-2-20000-2-222000022-2-2-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ2722-2-200-2200222-22-2-2-20000-2-2220000-2-2222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ2822-2-200-2200222-22-2-2-20000-2-2220000-2-2222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ292-22-22-2000022-22-22-2-222-2-2000000002-22-200002-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ302-22-22-2000022-22-22-2-222-2-2000000002-22-200002-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312-22-22-2000022-22-22-2-222-2-200000000-22-220000-222i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ322-22-22-2000022-22-22-2-222-2-200000000-22-220000-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ332-22-2-22000022-22-22-2-2-2-222000000002-22-20000-222i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ342-22-2-22000022-22-22-2-2-2-222000000002-22-20000-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ352-22-2-22000022-22-22-2-2-2-22200000000-22-2200002-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ362-22-2-22000022-22-22-2-2-2-22200000000-22-2200002-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ372-2-2200002-222-2-2-2-222000000002-22-22-2-22002-2002−2−22−222−22−2−222−2−220000000000000000
χ382-2-2200002-222-2-2-2-222000000002-22-22-2-22002-200−222−22−2−22−222−2−222−20000000000000000
χ392-2-2200002-222-2-2-2-222000000002-22-2-222-200-22002−2−222−2−22−222−22−2−220000000000000000
χ402-2-2200002-222-2-2-2-222000000002-22-2-222-200-2200−222−2−222−22−2−22−222−20000000000000000
χ412-2-220000-2222-2-2-2-22200000000-22-222-2-2200-22002−2−22−222−2−222−2−222−20000000000000000
χ422-2-220000-2222-2-2-2-22200000000-22-222-2-2200-2200−222−22−2−222−2−222−2−220000000000000000
χ432-2-220000-2222-2-2-2-22200000000-22-22-222-2002-2002−2−222−2−222−2−22−222−20000000000000000
χ442-2-220000-2222-2-2-2-22200000000-22-22-222-2002-200−222−2−222−2−222−22−2−220000000000000000
χ4544444444441-211-2-2-211-21-21-21-2-2-21100000000000000000000000000000022220000-1-1-1-1
χ4644444444441-211-2-2-211-21-21-21-2-2-211000000000000000000000000000000-2-2-2-200001111
χ474444444444-21-2-2111-2-21-21-21-2111-2-20000000000000000000000000022220000-1-1-1-10000
χ484444444444-21-2-2111-2-21-21-21-2111-2-200000000000000000000000000-2-2-2-2000011110000
χ49444444-4-4-4-41-211-2-2-211-21-2-12-1222-1-100000000000000000000000000000022-2-20000-1-111
χ50444444-4-4-4-41-211-2-2-211-21-2-12-1222-1-1000000000000000000000000000000-2-222000011-1-1
χ51444444-4-4-4-4-21-2-2111-2-21-212-12-1-1-1220000000000000000000000000022-2-20000-1-1110000
χ52444444-4-4-4-4-21-2-2111-2-21-212-12-1-1-12200000000000000000000000000-2-222000011-1-10000
χ534444-4-444-4-41-211-2-2-21-12-121-21-222-1-10000000000000000000000000000002-22-20000-11-11
χ544444-4-444-4-41-211-2-2-21-12-121-21-222-1-1000000000000000000000000000000-22-2200001-11-1
χ554444-4-444-4-4-21-2-2111-22-12-1-21-21-1-122000000000000000000000000002-22-20000-11-110000
χ564444-4-444-4-4-21-2-2111-22-12-1-21-21-1-12200000000000000000000000000-22-2200001-11-10000
χ574444-4-4-4-4441-211-2-2-21-12-12-12-12-2-2110000000000000000000000000000002-2-220000-111-1
χ584444-4-4-4-4441-211-2-2-21-12-12-12-12-2-211000000000000000000000000000000-222-200001-1-11
χ594444-4-4-4-444-21-2-2111-22-12-12-12-111-2-2000000000000000000000000002-2-220000-111-10000
χ604444-4-4-4-444-21-2-2111-22-12-12-12-111-2-200000000000000000000000000-222-200001-1-110000
χ6188-8-8008-8002-42-2-444-200002-4-240000000000000000000000000000000000000000000000
χ6288-8-8008-800-42-442-2-240000-424-20000000000000000000000000000000000000000000000
χ6388-8-800-88002-42-2-444-20000-242-40000000000000000000000000000000000000000000000
χ6488-8-800-8800-42-442-2-2400004-2-420000000000000000000000000000000000000000000000
χ658-88-88-800002-4-224-44-22-4-2400000000000000000000000000000000000000000000000000
χ668-88-88-80000-424-4-22-24-424-200000000000000000000000000000000000000000000000000
χ678-88-8-8800002-4-224-44-2-242-400000000000000000000000000000000000000000000000000
χ688-88-8-880000-424-4-22-244-2-4200000000000000000000000000000000000000000000000000
χ698-8-8800008-82-4-2-244-4200000000-442-2000000000000000000000000000000000000000000
χ708-8-8800008-8-4244-2-22-4000000002-2-44000000000000000000000000000000000000000000
χ718-8-880000-882-4-2-244-42000000004-4-22000000000000000000000000000000000000000000
χ728-8-880000-88-4244-2-22-400000000-224-4000000000000000000000000000000000000000000

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