Finite Group Databasebeta

← Group #11878729

Character table — Group #11878729

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order122222334466666634666666666661212121244121212121212121212121212121212121212121212128888888844444422442424242424242424466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ7111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ8111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ91111-1-111111111111-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-11-11
χ111111-1-111111111111-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-111-1-11
χ121111-1-111111111111-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-1-1111-1
χ131111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-111-111-1-1-1-1111-111-11-1
χ151111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-111-1-111-1
χ161111-1-111111111111-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-111-1-111-111-1-1-11
χ1722222222-2-22222222-222222222222-2-2-2-200-2-200000000-2-2-2-2000000000000000022-2-2-2-20000000000002000000
χ1822222222-2-22222222-222222222222-2-2-2-200-2-200000000-2-2-2-20000000000000000-2-22222000000000000-2000000
χ192222222-1222-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000002020000-1-1-1-100-10-100
χ202222222-1222-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-2000011110010100
χ212222222-1222-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-211-2-211-1-1-1-111111111000022220000000-20-20000-1-1-1-10010100
χ222222222-1222-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-211-2-211-1-1-1-1111111110000-2-2-2-200000002020000111100-10-100
χ23222222-1222-12-1-122-12-1-122-1-1-1-1-1-1-1-1-12222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000002020-1-1-1-100000-10-1000
χ24222222-1222-12-1-122-12-1-122-1-1-1-1-1-1-1-1-12222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-20-20111100000101000
χ25222222-1222-12-1-122-12-1-122-1-1-1-1-1-1-1-1-122-2-2-1211-2-211-2-2-1-1-1-11111111122220000000000-20-20-1-1-1-100000101000
χ26222222-1222-12-1-122-12-1-122-1-1-1-1-1-1-1-1-122-2-2-1211-2-211-2-2-1-1-1-111111111-2-2-2-200000000002020111100000-10-1000
χ272222-2-222-2-222222222-2-2-2-222-2-2-2-22-2-2-2-2002200000000-2-222000000000000000022-2-222000000000000-2000000
χ282222-2-222-2-222222222-2-2-2-222-2-2-2-22-2-2-2-2002200000000-2-2220000000000000000-2-222-2-20000000000002000000
χ292222-2-22-1222-122-1-1-1-2-2-211-1-11111-122-1-12-2-2122-1-1-2-211-1-111-1-1-1-11111000022-2-2000000020-20000-1-11100-10100
χ302222-2-22-1222-122-1-1-1-2-2-211-1-11111-122-1-12-2-2122-1-1-2-211-1-111-1-1-1-111110000-2-2220000000-202000011-1-10010-100
χ312222-2-22-1222-122-1-1-1-2-2-211-1-11111-122-1-1-22-21-2-21122-1-1-1-1111111-1-1-1-1000022-2-20000000-2020000-1-1110010-100
χ322222-2-22-1222-122-1-1-1-2-2-211-1-11111-122-1-1-22-21-2-21122-1-1-1-1111111-1-1-1-10000-2-222000000020-2000011-1-100-10100
χ332222-2-2-1222-12-1-122-1-211-2-2-1-11111-1-1-1222-21-2-1-12211-2-2-1-111-1-1-1-1111122-2-2000000000020-20-1-11100000-101000
χ342222-2-2-1222-12-1-122-1-211-2-2-1-11111-1-1-1222-21-2-1-12211-2-2-1-111-1-1-1-11111-2-2220000000000-202011-1-10000010-1000
χ352222-2-2-1222-12-1-122-1-211-2-2-1-11111-1-1-122-221-211-2-2-1-122-1-1111111-1-1-1-122-2-20000000000-2020-1-1110000010-1000
χ362222-2-2-1222-12-1-122-1-211-2-2-1-11111-1-1-122-221-211-2-2-1-122-1-1111111-1-1-1-1-2-222000000000020-2011-1-100000-101000
χ372-22-22-22200-2-22-22-2202-22-22-222-2-2-20000000000000000000000000000−i2i2−i2i2−i2i2−i2i2002-22-20000−i2i2−i2i2−i2i2−i2i20000000
χ382-22-22-22200-2-22-22-2202-22-22-222-2-2-20000000000000000000000000000−i2i2−i2i2i2−i2i2−i200-22-220000−i2i2−i2i2i2−i2i2−i20000000
χ392-22-22-22200-2-22-22-2202-22-22-222-2-2-20000000000000000000000000000i2−i2i2−i2−i2i2−i2i200-22-220000i2−i2i2−i2−i2i2−i2i20000000
χ402-22-22-22200-2-22-22-2202-22-22-222-2-2-20000000000000000000000000000i2−i2i2−i2i2−i2i2−i2002-22-20000i2−i2i2−i2i2−i2i2−i20000000
χ412-22-2-222200-2-22-22-220-22-222-2-2-222-20000000000000000000000000000−i2i2i2−i2−i2i2i2−i2002-2-220000−i2i2i2−i2−i2i2i2−i20000000
χ422-22-2-222200-2-22-22-220-22-222-2-2-222-20000000000000000000000000000−i2i2i2−i2i2−i2−i2i200-222-20000−i2i2i2−i2i2−i2−i2i20000000
χ432-22-2-222200-2-22-22-220-22-222-2-2-222-20000000000000000000000000000i2−i2−i2i2−i2i2i2−i200-222-20000i2−i2−i2i2−i2i2i2−i20000000
χ442-22-2-222200-2-22-22-220-22-222-2-2-222-20000000000000000000000000000i2−i2−i2i2i2−i2−i2i2002-2-220000i2−i2−i2i2i2−i2−i2i20000000
χ454444444-2-4-44-244-2-2-2-444-2-2-2-2-2-2-2-2-2-4-42200-4200000000222200000000000000000000000000000000000000000
χ46444444-24-4-4-24-2-244-2-4-2-244-2-2-2-2-2-2-222-4-4002-400000000222200000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-21111111-2-2-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211111112222002200000000-1-1-1-133-3-333-3-3000000000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211111112222002200000000-1-1-1-1-3-333-3-333000000000000000000000000000000000
χ514444-4-44-2-4-44-244-2-2-24-4-422-2-22222-2-4-422004-20000000022-2-200000000000000000000000000000000000000000
χ524444-4-4-24-4-4-24-2-244-2422-4-4-2-22222-222-4-400-240000000022-2-200000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-4222211-1-1-1-11-2-2-2-24-422-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-4222211-1-1-1-11-2-2-2-2-44222222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214222211-1-1-1-11222200-2-200000000-1-11133-3-3-3-333000000000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-214222211-1-1-1-11222200-2-200000000-1-111-3-33333-3-3000000000000000000000000000000000
χ5744-4-400440044-4-4-4-4400000-440000-40000000000000000000000000000000000004-400000000000000000000000
χ5844-4-400440044-4-4-4-4400000-440000-4000000000000000000000000000000000000-4400000000000000000000000
χ594-44-44-44-200-424-4-22-204-4-22-22-2-222200000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ604-44-44-44-200-424-4-22-204-4-22-22-2-2222000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ614-44-44-4-24002-4-224-4-20-224-4-22-2-22220000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ624-44-44-4-24002-4-224-4-20-224-4-22-2-222200000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ634-44-4-444-200-424-4-22-20-442-2-2222-2-2200000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ644-44-4-444-200-424-4-22-20-442-2-2222-2-22000000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ654-44-4-44-24002-4-224-4-202-2-44-2222-2-220000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000000
χ664-44-4-44-24002-4-224-4-202-2-44-2222-2-2200000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000000
χ674-4-4400444-4-4-4-44-44400000-4-4000044-44-40000000000004-40000000000000000000000000000000000000000000
χ684-4-440044-44-4-4-44-44400000-4-400004-44-44000000000000-440000000000000000000000000000000000000000000
χ694-4-44004-24-4-42-442-2-200000220000-24-4-220000000000−2i32i3-22000000−2i32i3−2i32i3000000000000000000000000000000000
χ704-4-44004-24-4-42-442-2-200000220000-24-4-2200000000002i3−2i3-220000002i3−2i32i3−2i3000000000000000000000000000000000
χ714-4-44004-2-44-42-442-2-200000220000-2-442-2000000−2i32i300002-200−2i32i3−2i32i30000000000000000000000000000000000000
χ724-4-44004-2-44-42-442-2-200000220000-2-442-20000002i3−2i300002-2002i3−2i32i3−2i30000000000000000000000000000000000000
χ734-4-4400-244-42-42-2-44-200000220000-2-224-40000−2i32i3000000-2200−2i32i32i3−2i30000000000000000000000000000000000000
χ744-4-4400-244-42-42-2-44-200000220000-2-224-400002i3−2i3000000-22002i3−2i3−2i32i30000000000000000000000000000000000000
χ754-4-4400-24-442-42-2-44-200000220000-22-2-4400000000−2i32i3002-2000000−2i32i32i3−2i3000000000000000000000000000000000
χ764-4-4400-24-442-42-2-44-200000220000-22-2-44000000002i3−2i3002-20000002i3−2i3−2i32i3000000000000000000000000000000000
χ774-4-4400-2-24-4222-22-2100000-1-13-33-31-22-220000−2i32i30000−2i32i31-13-3i3−i3−i3i3i3−i3i3−i3000000000000000000000000000000000
χ784-4-4400-2-24-4222-22-2100000-1-13-33-31-22-2200002i3−2i300002i3−2i31-13-3−i3i3i3−i3−i3i3−i3i3000000000000000000000000000000000
χ794-4-4400-2-24-4222-22-2100000-1-1-33-331-22-220000−2i32i300002i3−2i31-1-33i3−i3−i3i3−i3i3−i3i3000000000000000000000000000000000
χ804-4-4400-2-24-4222-22-2100000-1-1-33-331-22-2200002i3−2i30000−2i32i31-1-33−i3i3i3−i3i3−i3i3−i3000000000000000000000000000000000
χ814-4-4400-2-2-44222-22-2100000-1-13-33-312-22-2000000−2i32i3−2i32i300-11-33i3−i3i3−i3i3−i3−i3i3000000000000000000000000000000000
χ824-4-4400-2-2-44222-22-2100000-1-13-33-312-22-20000002i3−2i32i3−2i300-11-33−i3i3−i3i3−i3i3i3−i3000000000000000000000000000000000
χ834-4-4400-2-2-44222-22-2100000-1-1-33-3312-22-2000000−2i32i32i3−2i300-113-3i3−i3i3−i3−i3i3i3−i3000000000000000000000000000000000
χ844-4-4400-2-2-44222-22-2100000-1-1-33-3312-22-20000002i3−2i3−2i32i300-113-3−i3i3−i3i3i3−i3−i3i3000000000000000000000000000000000
χ8588-8-8008-4008-4-8-844-4000004-4000040000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4800-4844-8-8-4000004-4000040000000000000000000000000000000000000000000000000000000000000
χ8788-8-800-4-400-4-44444200000-226-6-66-20000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-4-400-4-44444200000-22-666-6-20000000000000000000000000000000000000000000000000000000000000
χ898-88-88-8-4-40044-44-4420-44-442-222-2-2-20000000000000000000000000000000000000000000000000000000000000
χ908-88-8-88-4-40044-44-44204-44-42-2-2-222-20000000000000000000000000000000000000000000000000000000000000

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