Finite Group Databasebeta

← Group #13152098

Character table — Group #13152098

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order122222366666662266663366666636666666666666666666666666662222224444444466661212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-111-1-1-1-11-1-1-1-1-1-1-1-1-11-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-11-1-1-1111
χ511111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1
χ611111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111
χ711111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-111111-11-1-1-111
χ811111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-11111-11-1111-1-1
χ91111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1111-11-11-1-1-111-1-111-1-111-11-1-11-1
χ101111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-11111-1-111-1-1-1-11-111-11
χ111111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111-11-1-11-11-11-1-111-1-1111-1-11-11-11
χ121111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-11-111-1-111-1-1-111-1-111-111-11-11-1
χ131111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111-11-11-11-1-111-1-1-1-11111-1-11-1-11
χ141111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1-111111-1-1-1-111-1-111-111-1
χ151111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-111-11-1-11-1-11111-1-11-1-1-1111-1
χ161111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-111-1-111-11-1-1-11111-1-1-1111-1-1-11
χ17222222222222222222222-1222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000200220002000000000-1000-1-1-1
χ18222222222222222222222-1222-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-200-2-2000-20000000001000111
χ1922222222222222222222-12-1-1-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000202200002000000000-10-1-1-1000
χ2022222222222222222222-12-1-1-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-20-2-20000-200000000010111000
χ2122222222222222-2-2-2-2-2-22-1222-1-1-1-122-1-1-2-211-2-211-1-1-1-1-1-1-11111111100000200-2-20002000000000-1000-111
χ2222222222222222-2-2-2-2-2-22-1222-1-1-1-122-1-1-2-211-2-211-1-1-1-1-1-1-11111111100000-20022000-200000000010001-1-1
χ2322222222222222-2-2-2-2-2-2-12-1-1-1222-1-1-12211-2-211-2-2-1-1-1-1-1-1-111111111000020-2-200002000000000-10-111000
χ2422222222222222-2-2-2-2-2-2-12-1-1-1222-1-1-12211-2-211-2-2-1-1-1-1-1-1-1111111110000-20220000-2000000000101-1-1000
χ252222-2-2222-2-2-2-222-222-2-22-1222-1-1-1-1-2-21122-1-1-2-211-1-1-11111-1-1-1-11111000002002-2000-2000000000-10001-11
χ262222-2-2222-2-2-2-222-222-2-22-1222-1-1-1-1-2-21122-1-1-2-211-1-1-11111-1-1-1-1111100000-200-2200020000000001000-11-1
χ272222-2-2222-2-2-2-222-222-2-2-12-1-1-1222-111-2-2-1-12211-2-2-1-1-11111-1-1-1-111110000202-20000-2000000000-101-11000
χ282222-2-2222-2-2-2-222-222-2-2-12-1-1-1222-111-2-2-1-12211-2-2-1-1-11111-1-1-1-111110000-20-220000200000000010-11-1000
χ292222-2-2222-2-2-2-22-22-2-2222-1222-1-1-1-1-2-211-2-21122-1-1-1-1-111111111-1-1-1-100000200-22000-2000000000-100011-1
χ302222-2-2222-2-2-2-22-22-2-2222-1222-1-1-1-1-2-211-2-21122-1-1-1-1-111111111-1-1-1-100000-2002-200020000000001000-1-11
χ312222-2-2222-2-2-2-22-22-2-222-12-1-1-1222-111-2-211-2-2-1-122-1-1-111111111-1-1-1-1000020-220000-2000000000-1011-1000
χ322222-2-2222-2-2-2-22-22-2-222-12-1-1-1222-111-2-211-2-2-1-122-1-1-111111111-1-1-1-10000-202-20000200000000010-1-11000
χ332-2-222-22-2-222-2-22000000222-2-22-2-222-22-2000000002-2-222-2-2000000002-22-200000000002-22-2000000000000
χ342-2-222-22-2-222-2-22000000222-2-22-2-222-22-2000000002-2-222-2-200000000-22-220000000000-22-22000000000000
χ352-2-22-222-2-2-2-2222000000222-2-22-2-22-22-22000000002-2-2-2-222000000002-2-2200000000002-2-22000000000000
χ362-2-22-222-2-2-2-2222000000222-2-22-2-22-22-22000000002-2-2-2-22200000000-222-20000000000-222-2000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2222222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ394444-4-4444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-212222-2-2-2-22222111-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ404444-4-4444-4-4-4-44-44-4-444-2-2-2-2-2-2-2-2122222222-2-2-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4144-4-40044-40000-400000044-44-4-44-44000000000000-44-4000000000000000000000000000000000000000000
χ4244-4-40044-40000-40000004-2-44-42-22-200000000002i3−2i32-22000000002i32i3−2i3−2i3000000000000000000000000000000
χ4344-4-40044-40000-40000004-2-44-42-22-20000000000−2i32i32-2200000000−2i3−2i32i32i3000000000000000000000000000000
χ4444-4-40044-40000-4000000-242-22-44-4-200002i3−2i30000002-2200002i32i3−2i3−2i30000000000000000000000000000000000
χ4544-4-40044-40000-4000000-242-22-44-4-20000−2i32i30000002-220000−2i3−2i32i32i30000000000000000000000000000000000
χ4644-4-40044-40000-4000000-2-22-222-22100002i3−2i300002i3−2i3-11-13-33-3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ4744-4-40044-40000-4000000-2-22-222-22100002i3−2i30000−2i32i3-11-1-33-33−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ4844-4-40044-40000-4000000-2-22-222-2210000−2i32i300002i3−2i3-11-1-33-33i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ4944-4-40044-40000-4000000-2-22-222-2210000−2i32i30000−2i32i3-11-13-33-3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ504-44-4004-440000-400000044-4-44-4-444000000000000-4-44000000000000000000000000000000000000000000
χ514-44-4004-440000-40000004-2-4-4422-2-20000002i3−2i3000022-200002i3−2i32i3−2i30000000000000000000000000000000000
χ524-44-4004-440000-40000004-2-4-4422-2-2000000−2i32i3000022-20000−2i32i3−2i32i30000000000000000000000000000000000
χ534-44-4004-440000-4000000-2422-2-4-44-2000000002i3−2i30022-2000000002i3−2i32i3−2i3000000000000000000000000000000
χ544-44-4004-440000-4000000-2422-2-4-44-200000000−2i32i30022-200000000−2i32i3−2i32i3000000000000000000000000000000
χ554-44-4004-440000-4000000-2-222-222-210000002i3−2i32i3−2i300-1-113-3-33−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ564-44-4004-440000-4000000-2-222-222-210000002i3−2i3−2i32i300-1-11-333-3−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ574-44-4004-440000-4000000-2-222-222-21000000−2i32i32i3−2i300-1-11-333-3i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ584-44-4004-440000-4000000-2-222-222-21000000−2i32i3−2i32i300-1-113-3-33i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ594-4-444-44-4-444-4-440000004-24-4-4-222-24-4-2200000000-222-2-22200000000000000000000000000000000000000
χ604-4-444-44-4-444-4-44000000-24-2224-4-4-2-224-400000000-222-2-22200000000000000000000000000000000000000
χ614-4-444-44-4-444-4-44000000-2-2-222-2221-22-22000000001-1-111-1-13-3-333-3-33000000000000000000000000000000
χ624-4-444-44-4-444-4-44000000-2-2-222-2221-22-22000000001-1-111-1-1-333-3-333-3000000000000000000000000000000
χ634-4-44-444-4-4-4-44440000004-24-4-4-222-2-442-200000000-22222-2-200000000000000000000000000000000000000
χ644-4-44-444-4-4-4-4444000000-24-2224-4-4-22-2-4400000000-22222-2-200000000000000000000000000000000000000
χ654-4-44-444-4-4-4-4444000000-2-2-222-22212-22-2000000001-1-1-1-1113-3-33-333-3000000000000000000000000000000
χ664-4-44-444-4-4-4-4444000000-2-2-222-22212-22-2000000001-1-1-1-111-333-33-3-33000000000000000000000000000000
χ67666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220000002200-1-1-1-1-1-1-1-100000000
χ68666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2000000-2-2001111111100000000
χ69666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222000000-2-200-1-1-1-1111100000000
χ70666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-200000022001111-1-1-1-100000000
χ716666-6-6-3-3-33333-36-6-3-33300000000000000000000000000000000000022-2-20000002-200-1-111-1-11100000000
χ726666-6-6-3-3-33333-36-6-3-333000000000000000000000000000000000000-2-222000000-220011-1-111-1-100000000
χ736666-6-6-3-3-33333-3-6633-3-300000000000000000000000000000000000022-2-2000000-2200-1-11111-1-100000000
χ746666-6-6-3-3-33333-3-6633-3-3000000000000000000000000000000000000-2-2220000002-20011-1-1-1-11100000000
χ756-6-666-6-333-3-333-3003i3−3i33i3−3i30000000000000000000000000000000000002-22-20000000000-11-11i3−i3i3−i300000000
χ766-6-666-6-333-3-333-3003i3−3i33i3−3i3000000000000000000000000000000000000-22-2200000000001-11-1−i3i3−i3i300000000
χ776-6-666-6-333-3-333-300−3i33i3−3i33i30000000000000000000000000000000000002-22-20000000000-11-11−i3i3−i3i300000000
χ786-6-666-6-333-3-333-300−3i33i3−3i33i3000000000000000000000000000000000000-22-2200000000001-11-1i3−i3i3−i300000000
χ796-6-66-66-33333-3-3-3003i3−3i3−3i33i30000000000000000000000000000000000002-2-220000000000-111-1i3−i3−i3i300000000
χ806-6-66-66-33333-3-3-3003i3−3i3−3i33i3000000000000000000000000000000000000-222-200000000001-1-11−i3i3i3−i300000000
χ816-6-66-66-33333-3-3-300−3i33i33i3−3i30000000000000000000000000000000000002-2-220000000000-111-1−i3i3i3−i300000000
χ826-6-66-66-33333-3-3-300−3i33i33i3−3i3000000000000000000000000000000000000-222-200000000001-1-11i3−i3−i3i300000000
χ831212-12-1200-6-666i3−6i36i3−6i36000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-1200-6-66−6i36i3−6i36i36000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-1200-66-66i3−6i3−6i36i36000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-1200-66-6−6i36i36i3−6i36000000000000000000000000000000000000000000000000000000000000000000000000

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