Finite Group Databasebeta

← Group #13150893

Character table — Group #13150893

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222223666666644121212123366666636666666666612121212121212121212121212121212222222224444446666666666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-11-111-1-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-11-1-111-11
χ511111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ611111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ711111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-111111-1-1-1111-1
χ811111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-11-1-1-1-11111-1111-1-1-11
χ91111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11-1111-11-1-1-111-1-111-1-1111-11-1-1-1
χ101111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-11-111111-1-111-1-1-1-1-11-1111
χ111111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-111-11-1-11-11-1-111-1-1111-11-1-11-11
χ121111-1-1111-1-1-1-111-111-1-1111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-11-11-111-11-1-1-111-1-111-11-111-11-1
χ131111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1111-11-11-1-111-1-1-1-11111-11-11-1-1
χ141111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-11-1-11-11-11111-1-1-1-111-1-11-11-111
χ151111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-11-1-111-1-11-1-11111-1-11-1-111-1-11
χ161111-1-1111-1-1-1-11-11-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-1-111-1-111-1-1-11111-1-1-111-1-111-1
χ17222222222222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000002002202000000000-100-1-10-1
χ18222222222222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000-200-2-20-20000000001001101
χ1922222222222222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000002022002000000000-10-1-100-10
χ2022222222222222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000-20-2-200-200000000010110010
χ2122222222222222-2-2-2-2-2-22-122-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000200-2-202000000000-100110-1
χ2222222222222222-2-2-2-2-2-22-122-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000000-200220-2000000000100-1-101
χ2322222222222222-2-2-2-2-2-2-12-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-21111111100000020-2-2002000000000-101100-10
χ2422222222222222-2-2-2-2-2-2-12-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-211111111000000-202200-200000000010-1-10010
χ252222-2-2222-2-2-2-222-222-2-22-122-1-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-1111100000002002-20-2000000000-100-1101
χ262222-2-2222-2-2-2-222-222-2-22-122-1-12-1-1-2-211-1-11111-122-1-1-2-211-1-1-1-111110000000-200-22020000000001001-10-1
χ272222-2-2222-2-2-2-222-222-2-2-12-1-122-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111000000202-200-2000000000-10-110010
χ282222-2-2222-2-2-2-222-222-2-2-12-1-122-12-111-2-2-1-11111-1-1-12211-2-2-1-1-1-11111000000-20-22002000000000101-100-10
χ292222-2-2222-2-2-2-22-22-2-2222-122-1-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-10000000200-220-2000000000-1001-101
χ302222-2-2222-2-2-2-22-22-2-2222-122-1-12-1-1-2-211-1-11111-1-2-21122-1-11111-1-1-1-10000000-2002-202000000000100-110-1
χ312222-2-2222-2-2-2-22-22-2-222-12-1-122-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-100000020-2200-2000000000-101-10010
χ322222-2-2222-2-2-2-22-22-2-222-12-1-122-12-111-2-2-1-11111-111-2-2-1-1221111-1-1-1-1000000-202-200200000000010-1100-10
χ332-2-222-22-2-222-2-2200000022-2-2-2-22222-22-2-2-222-2-2200000000000000002-22-200000000002-22-2000000000000
χ342-2-222-22-2-222-2-2200000022-2-2-2-22222-22-2-2-222-2-220000000000000000-22-220000000000-22-22000000000000
χ352-2-22-222-2-2-2-222200000022-2-2-2-2222-22-22-2-2-2-222200000000000000002-2-2200000000002-2-22000000000000
χ362-2-22-222-2-2-2-222200000022-2-2-2-2222-22-22-2-2-2-22220000000000000000-222-20000000000-222-2000000000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ394444-4-4444-4-4-4-444-444-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-2-2-222221111-1-1-1-1000000000000000000000000000000
χ404444-4-4444-4-4-4-44-44-4-444-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-2-2-1-1-1-11111000000000000000000000000000000
χ4144-4-40044-40000-4000000444-44-4-4-4400004-40000-40000000000000000000000000000000000000000000000
χ4244-4-40044-40000-40000004-24-4-22-42-20000-22000020023−2300002323−23−230000000000000000000000000000000000
χ4344-4-40044-40000-40000004-24-4-22-42-20000-220000200−23230000−23−2323230000000000000000000000000000000000
χ4444-4-40044-40000-4000000-24-224-42-4-20000-2200002000023−230000002323−23−23000000000000000000000000000000
χ4544-4-40044-40000-4000000-24-224-42-4-20000-22000020000−2323000000−23−232323000000000000000000000000000000
χ4644-4-40044-40000-4000000-2-2-22-2222100001-13-33-3-10023−2323−2300−3−333−3−333000000000000000000000000000000
χ4744-4-40044-40000-4000000-2-2-22-2222100001-13-33-3-100−2323−23230033−3−333−3−3000000000000000000000000000000
χ4844-4-40044-40000-4000000-2-2-22-2222100001-1-33-33-10023−23−232300−3−33333−3−3000000000000000000000000000000
χ4944-4-40044-40000-4000000-2-2-22-2222100001-1-33-33-100−232323−230033−3−3−3−333000000000000000000000000000000
χ504-44-4004-440000-400000044-44-44-4-440000-440000-40000000000000000000000000000000000000000000000
χ514-44-4004-440000-40000004-2-442-2-42-200002-20000200000023−23000023−2323−23000000000000000000000000000000
χ524-44-4004-440000-40000004-2-442-2-42-200002-200002000000−23230000−2323−2323000000000000000000000000000000
χ534-44-4004-440000-4000000-242-2-442-4-200002-20000223−2300000023−2323−230000000000000000000000000000000000
χ544-44-4004-440000-4000000-242-2-442-4-200002-200002−2323000000−2323−23230000000000000000000000000000000000
χ554-44-4004-440000-4000000-2-22-22-22210000-113-3-33-123−23000023−23−33−33−33−33000000000000000000000000000000
χ564-44-4004-440000-4000000-2-22-22-22210000-113-3-33-1−23230000−23233−33−33−33−3000000000000000000000000000000
χ574-44-4004-440000-4000000-2-22-22-22210000-11-333-3-123−230000−2323−33−333−33−3000000000000000000000000000000
χ584-44-4004-440000-4000000-2-22-22-22210000-11-333-3-1−2323000023−233−33−3−33−33000000000000000000000000000000
χ594-4-444-44-4-444-4-440000004-2-4-4224-2-24-4-2222-2-222-20000000000000000000000000000000000000000000000
χ604-4-444-44-4-444-4-44000000-2422-4-4-24-2-224-422-2-222-20000000000000000000000000000000000000000000000
χ614-4-444-44-4-444-4-44000000-2-22222-2-21-22-22-1-111-1-11000000003-3-333-3-33000000000000000000000000000000
χ624-4-444-44-4-444-4-44000000-2-22222-2-21-22-22-1-111-1-1100000000-333-3-333-3000000000000000000000000000000
χ634-4-44-444-4-4-4-44440000004-2-4-4224-2-2-442-22222-2-2-20000000000000000000000000000000000000000000000
χ644-4-44-444-4-4-4-4444000000-2422-4-4-24-22-2-442222-2-2-20000000000000000000000000000000000000000000000
χ654-4-44-444-4-4-4-4444000000-2-22222-2-212-22-2-1-1-1-1111000000003-3-33-333-3000000000000000000000000000000
χ664-4-44-444-4-4-4-4444000000-2-22222-2-212-22-2-1-1-1-111100000000-333-33-3-33000000000000000000000000000000
χ67666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022222200000000-1-1-1-1-1-1-1-100000000
χ68666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2-2-2000000001111111100000000
χ69666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222-2-200000000-1-1-1-1111100000000
χ70666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-222000000001111-1-1-1-100000000
χ716666-6-6-3-3-33333-36-6-3-33300000000000000000000000000000000000022-2-22-200000000-1-111-1-11100000000
χ726666-6-6-3-3-33333-36-6-3-333000000000000000000000000000000000000-2-222-220000000011-1-111-1-100000000
χ736666-6-6-3-3-33333-3-6633-3-300000000000000000000000000000000000022-2-2-2200000000-1-11111-1-100000000
χ746666-6-6-3-3-33333-3-6633-3-3000000000000000000000000000000000000-2-2222-20000000011-1-1-1-11100000000
χ756-6-666-6-333-3-333-300−3i33i3−3i33i30000000000000000000000000000000000002-22-20000000000-11-11−i3i3−i3i300000000
χ766-6-666-6-333-3-333-300−3i33i3−3i33i3000000000000000000000000000000000000-22-2200000000001-11-1i3−i3i3−i300000000
χ776-6-666-6-333-3-333-3003i3−3i33i3−3i30000000000000000000000000000000000002-22-20000000000-11-11i3−i3i3−i300000000
χ786-6-666-6-333-3-333-3003i3−3i33i3−3i3000000000000000000000000000000000000-22-2200000000001-11-1−i3i3−i3i300000000
χ796-6-66-66-33333-3-3-300−3i33i33i3−3i30000000000000000000000000000000000002-2-220000000000-111-1−i3i3i3−i300000000
χ806-6-66-66-33333-3-3-300−3i33i33i3−3i3000000000000000000000000000000000000-222-200000000001-1-11i3−i3−i3i300000000
χ816-6-66-66-33333-3-3-3003i3−3i3−3i33i30000000000000000000000000000000000002-2-220000000000-111-1i3−i3−i3i300000000
χ826-6-66-66-33333-3-3-3003i3−3i3−3i33i3000000000000000000000000000000000000-222-200000000001-1-11−i3i3i3−i300000000
χ831212-12-1200-6-66−6i36i3−6i36i36000000000000000000000000000000000000000000000000000000000000000000000000
χ841212-12-1200-6-666i3−6i36i3−6i36000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-1200-66-6−6i36i36i3−6i36000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-1200-66-66i3−6i3−6i36i36000000000000000000000000000000000000000000000000000000000000000000000000

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