Finite Group Databasebeta

← Group #11863616

Character table — Group #11863616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122222334466666634444466666666666121212121212121212121212121212121212121212121212121222228888888822442244242424242424242444444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ91111-1-111111111111-111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-1
χ101111-1-111111111111-111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-111-1-1-1-111
χ111111-1-111111111111-111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-1-1-1-1111-1-1111-1-11
χ121111-1-111111111111-111-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-11-1-111-111-1
χ131111-1-111111111111-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111
χ141111-1-111111111111-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-11111-1-1
χ151111-1-111111111111-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1-111-1
χ161111-1-111111111111-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-2000022222222222-2-2-2-2-2-200000000-2-2-2-20000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-2000022222222222-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-200000000-2-222000000000000200000000
χ192222222-1222-122-1-1-12222222-1-1-1-1-1-1-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ202222222-1222-122-1-1-12222222-1-1-1-1-1-1-1-1-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ212222222-1222-122-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-12-1-2-211-2-211-1-1-1-11111111100000000222200000-20-20000-1-1-1-1000000101
χ222222222-1222-122-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-122-1-12-1-2-211-2-211-1-1-1-11111111100000000-2-2-2-20000020200001111000000-10-1
χ23222222-1222-12-1-122-122222-1-122-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ24222222-1222-12-1-122-122222-1-122-1-1-1-1-1-1-1-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ25222222-1222-12-1-122-12-2-2-2-2-1-122-1-1-1-1-1-1-1-1-122-1211-2-211-2-2-1-1-1-1111111110000222200000000-20-20-1-1-1-10000000001010
χ26222222-1222-12-1-122-12-2-2-2-2-1-122-1-1-1-1-1-1-1-1-122-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000020201111000000000-10-10
χ272222-2-222-2-2222222220000-2-2-2-222-2-2-2-22-2-2-2-22200000000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ282222-2-222-2-2222222220000-2-2-2-222-2-2-2-22-2-2-2-22200000000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ292222-2-22-1222-122-1-1-1-222-2-2-2-211-1-11111-122-1-1-2122-1-1-2-211-1-111-1-1-1-111110000000022-2-20000020-20000-1-111000000-101
χ302222-2-22-1222-122-1-1-1-222-2-2-2-211-1-11111-122-1-1-2122-1-1-2-211-1-111-1-1-1-1111100000000-2-22200000-202000011-1-100000010-1
χ312222-2-22-1222-122-1-1-1-2-2-222-2-211-1-11111-122-1-1-21-2-21122-1-1-1-1111111-1-1-1-10000000022-2-200000-2020000-1-11100000010-1
χ322222-2-22-1222-122-1-1-1-2-2-222-2-211-1-11111-122-1-1-21-2-21122-1-1-1-1111111-1-1-1-100000000-2-2220000020-2000011-1-1000000-101
χ332222-2-2-1222-12-1-122-1-222-2-211-2-2-1-11111-1-1-1221-2-1-12211-2-2-1-111-1-1-1-11111000022-2-20000000020-20-1-111000000000-1010
χ342222-2-2-1222-12-1-122-1-222-2-211-2-2-1-11111-1-1-1221-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-202011-1-100000000010-10
χ352222-2-2-1222-12-1-122-1-2-2-22211-2-2-1-11111-1-1-1221-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2020-1-11100000000010-10
χ362222-2-2-1222-12-1-122-1-2-2-22211-2-2-1-11111-1-1-1221-211-2-2-1-122-1-1111111-1-1-1-10000-2-2220000000020-2011-1-1000000000-1010
χ372-22-22-22200-2-22-22-22000002-22-22-222-2-2-20000000000000000000000000022-2-2i2−i2i2−i2i2−i2i2−i22-2000000i2−i2i2−i2i2−i2i2−i2000000000
χ382-22-22-22200-2-22-22-22000002-22-22-222-2-2-20000000000000000000000000022-2-2−i2i2−i2i2−i2i2−i2i22-2000000−i2i2−i2i2−i2i2−i2i2000000000
χ392-22-22-22200-2-22-22-22000002-22-22-222-2-2-200000000000000000000000000-2-222i2−i2i2−i2−i2i2−i2i2-22000000i2−i2i2−i2−i2i2−i2i2000000000
χ402-22-22-22200-2-22-22-22000002-22-22-222-2-2-200000000000000000000000000-2-222−i2i2−i2i2i2−i2i2−i2-22000000−i2i2−i2i2i2−i2i2−i2000000000
χ412-22-2-222200-2-22-22-2200000-22-222-2-2-222-20000000000000000000000000022-2-2i2−i2−i2i2i2−i2−i2i2-22000000i2−i2−i2i2i2−i2−i2i2000000000
χ422-22-2-222200-2-22-22-2200000-22-222-2-2-222-20000000000000000000000000022-2-2−i2i2i2−i2−i2i2i2−i2-22000000−i2i2i2−i2−i2i2i2−i2000000000
χ432-22-2-222200-2-22-22-2200000-22-222-2-2-222-200000000000000000000000000-2-222i2−i2−i2i2−i2i2i2−i22-2000000i2−i2−i2i2−i2i2i2−i2000000000
χ442-22-2-222200-2-22-22-2200000-22-222-2-2-222-200000000000000000000000000-2-222−i2i2i2−i2i2−i2−i2i22-2000000−i2i2i2−i2i2−i2−i2i2000000000
χ452-2-2200222-2-2-2-22-2220002-20000-2-2000022-22-20000002-22-22-200000022-2-22-22-200000000002-20000000000000002-20000
χ462-2-2200222-2-2-2-22-2220002-20000-2-2000022-22-20000002-22-22-200000022-2-2-22-220000000000-22000000000000000-220000
χ472-2-2200222-2-2-2-22-222000-220000-2-2000022-22-2000000-22-222-2000000-2-2222-22-200000000002-2000000000000000-220000
χ482-2-2200222-2-2-2-22-222000-220000-2-2000022-22-2000000-22-222-2000000-2-222-22-220000000000-220000000000000002-20000
χ492-2-220022-22-2-2-22-22202-2000000-2-200002-22-22002-22-20000-220022-2-200002-22-20000000000-2200000000000002-2000000
χ502-2-220022-22-2-2-22-22202-2000000-2-200002-22-22002-22-20000-220022-2-20000-22-2200000000002-20000000000000-22000000
χ512-2-220022-22-2-2-22-2220-22000000-2-200002-22-2200-22-220000-2200-2-22200002-22-20000000000-220000000000000-22000000
χ522-2-220022-22-2-2-22-2220-22000000-2-200002-22-2200-22-220000-2200-2-2220000-22-2200000000002-200000000000002-2000000
χ534444444-2-4-44-244-2-2-2-4000044-2-2-2-2-2-2-2-2-2-4-422-42000000002222000000000000000000000000000000000000000000000
χ54444444-24-4-4-24-2-244-2-40000-2-244-2-2-2-2-2-2-222-4-42-4000000002222000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2144444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ56444444-2-244-2-2-2-2-2-214-4-4-4-4-2-2-2-21111111-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-40000-2-2-2-2111111122222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ58444444-2-2-4-4-2-2-2-2-2-21-40000-2-2-2-2111111122222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ594444-4-44-2-4-44-244-2-2-240000-4-422-2-22222-2-4-4224-20000000022-2-2000000000000000000000000000000000000000000000
χ604444-4-4-24-4-4-24-2-244-24000022-4-4-2-22222-222-4-4-240000000022-2-2000000000000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-21-444-4-4222211-1-1-1-11-2-2-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-21-4-4-444222211-1-1-1-11-2-2-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-2140000222211-1-1-1-112222-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-2140000222211-1-1-1-112222-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-400440044-4-4-4-44000000000-440000-4000000000000000000000000004-4-44000000000000000000000000000000000
χ6644-4-400440044-4-4-4-44000000000-440000-400000000000000000000000000-444-4000000000000000000000000000000000
χ674-44-44-44-200-424-4-22-2000004-4-22-22-2-222200000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ684-44-44-44-200-424-4-22-2000004-4-22-22-2-22220000000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ694-44-44-4-24002-4-224-4-200000-224-4-22-2-22220000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ704-44-44-4-24002-4-224-4-200000-224-4-22-2-2222000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ714-44-4-444-200-424-4-22-200000-442-2-2222-2-2200000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i2000000000
χ724-44-4-444-200-424-4-22-200000-442-2-2222-2-220000000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i2000000000
χ734-44-4-44-24002-4-224-4-2000002-2-44-2222-2-220000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ744-44-4-44-24002-4-224-4-2000002-2-44-2222-2-22000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ754-4-44004-24-4-42-442-2-20004-40000220000-24-4-220000004-4-22-22000000-2-2220000000000000000000000000000000000000
χ764-4-44004-24-4-42-442-2-2000-440000220000-24-4-22000000-442-2-2200000022-2-20000000000000000000000000000000000000
χ774-4-44004-2-44-42-442-2-204-4000000220000-2-442-2004-4-2200002-200-2-22200000000000000000000000000000000000000000
χ784-4-44004-2-44-42-442-2-20-44000000220000-2-442-200-442-200002-20022-2-200000000000000000000000000000000000000000
χ794-4-4400-244-42-42-2-44-20004-40000220000-2-224-4000000-224-4-22000000-2-2220000000000000000000000000000000000000
χ804-4-4400-244-42-42-2-44-2000-440000220000-2-224-40000002-2-44-2200000022-2-20000000000000000000000000000000000000
χ814-4-4400-24-442-42-2-44-204-4000000220000-22-2-4400-224-400002-200-2-22200000000000000000000000000000000000000000
χ824-4-4400-24-442-42-2-44-20-44000000220000-22-2-44002-2-4400002-20022-2-200000000000000000000000000000000000000000
χ834-4-4400-2-24-4222-22-210004-40000-1-13-33-31-22-22000000-22-221-13-33-3-3311-1-10000000000000000000000000000000000000
χ844-4-4400-2-24-4222-22-210004-40000-1-1-33-331-22-22000000-22-221-1-33-333-311-1-10000000000000000000000000000000000000
χ854-4-4400-2-24-4222-22-21000-440000-1-13-33-31-22-220000002-22-21-13-3-333-3-1-1110000000000000000000000000000000000000
χ864-4-4400-2-24-4222-22-21000-440000-1-1-33-331-22-220000002-22-21-1-333-3-33-1-1110000000000000000000000000000000000000
χ874-4-4400-2-2-44222-22-2104-4000000-1-13-33-312-22-200-22-220000-11-3311-1-13-3-330000000000000000000000000000000000000
χ884-4-4400-2-2-44222-22-2104-4000000-1-1-33-3312-22-200-22-220000-113-311-1-1-333-30000000000000000000000000000000000000
χ894-4-4400-2-2-44222-22-210-44000000-1-13-33-312-22-2002-22-20000-11-33-1-111-333-30000000000000000000000000000000000000
χ904-4-4400-2-2-44222-22-210-44000000-1-1-33-3312-22-2002-22-20000-113-3-1-1113-3-330000000000000000000000000000000000000
χ9188-8-8008-4008-4-8-844-40000000004-400004000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4800-4844-8-8-40000000004-400004000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-400-4-444442000000000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000
χ9488-8-800-4-400-4-444442000000000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000
χ958-88-88-8-4-40044-44-44200000-44-442-222-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-4-40044-44-442000004-44-42-2-2-222-2000000000000000000000000000000000000000000000000000000000000000

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