Finite Group Databasebeta

← Group #13152096

Character table — Group #13152096

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222222236666666266663366666666663666666666666666666666666622224444222444446666666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-11-1111111-1-1-1-1-1-111-1-111-1-1
χ6111111-1-111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-11-111111-1-111-1-1-1-1-1-111-1-111
χ7111111-1-111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-1-1-111-1-1111111-1-1-1-111
χ8111111-1-111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1111-1-1-1-1-1-1-1111111-1-11111-1-1
χ91111-1-111111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-11-11-1
χ101111-1-111111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-11-111-111-1-1-1-1-1-111-1-11111-11-11
χ111111-1-111111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-111-11-1-1-1111111-1-111-1-1-1-1-11-11
χ121111-1-111111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-111-11-1-111-1-1-1-1-1-11111111-11-1
χ131111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1111-1-11
χ141111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-11-11111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-11-1-11
χ172222222222222222222222-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022020002000000-1-1-1-10000-1-1-1-10000
χ182222222222222222222222-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-2000-20000001111000011110000
χ19222222222222222222222-12222222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002200220000000000000000-1-1-1-1
χ20222222222222222222222-12222222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200-2-200000000000000001111
χ21222222-2-222222222-2-2-2-2-22-1-1-11111222-1-122-2-2-2-2-1-111-1-1-1-1-1-1-111111111002200220-2000-2000000-1-1110000-1-1110000
χ22222222-2-222222222-2-2-2-2-22-1-1-11111222-1-122-2-2-2-2-1-111-1-1-1-1-1-1-11111111100-2-200-2-202000200000011-1-1000011-1-10000
χ23222222-2-222222222-2-2-2-2-2-1222-2-2-2-2-1-1-12-1-1-1111122-2-2-1-1-1-1-1-1-11111111100000000002-2002-20000000000000000-1-111
χ24222222-2-222222222-2-2-2-2-2-1222-2-2-2-2-1-1-12-1-1-1111122-2-2-1-1-1-1-1-1-1111111110000000000-2200-22000000000000000011-1-1
χ252222-2-222222-2-2-2-22-222-2-22-1-1-1-1-1-1-1222-1-1-2-222-2-21111-1-1-11111-1-1-1-11111002200-2-202000-2000000-1-1-1-1000011110000
χ262222-2-222222-2-2-2-22-222-2-22-1-1-1-1-1-1-1222-1-1-2-222-2-21111-1-1-11111-1-1-1-1111100-2-200220-2000200000011110000-1-1-1-10000
χ272222-2-222222-2-2-2-22-222-2-2-12222222-1-1-12-111-1-111-2-2-2-2-1-1-11111-1-1-1-1111100000000002-200-220000000000000000-11-11
χ282222-2-222222-2-2-2-22-222-2-2-12222222-1-1-12-111-1-111-2-2-2-2-1-1-11111-1-1-1-111110000000000-22002-200000000000000001-11-1
χ292222-2-2-2-2222-2-2-2-222-2-2222-1-1-11111222-1-1-2-2-2-22211-1-1-1-1-111111111-1-1-1-1002200-2-20-20002000000-1-111000011-1-10000
χ302222-2-2-2-2222-2-2-2-222-2-2222-1-1-11111222-1-1-2-2-2-22211-1-1-1-1-111111111-1-1-1-100-2-2002202000-200000011-1-10000-1-1110000
χ312222-2-2-2-2222-2-2-2-222-2-222-1222-2-2-2-2-1-1-12-11111-1-1-2-222-1-1-111111111-1-1-1-100000000002200-2-20000000000000000-111-1
χ322222-2-2-2-2222-2-2-2-222-2-222-1222-2-2-2-2-1-1-12-11111-1-1-2-222-1-1-111111111-1-1-1-10000000000-2-2002200000000000000001-1-11
χ332-22-2002-22-2-20000202-200222-222-2-22-2-2-22002-20000002-2-2000022-2-200002-2002-200000000002-20000002-20000000000
χ342-22-2002-22-2-20000202-200222-222-2-22-2-2-22002-20000002-2-2000022-2-20000-2200-220000000000-22000000-220000000000
χ352-22-200-222-2-2000020-2200222-2-2-2222-2-2-2200-220000002-2-20000-2-22200002-200-2200000000002-2000000-220000000000
χ362-22-200-222-2-2000020-2200222-2-2-2222-2-2-2200-220000002-2-20000-2-2220000-22002-20000000000-220000002-20000000000
χ372-2-222-20022-222-2-2-20000022-2-20000-22-2222-200002-200-22-222-2-200000000002-2002-20000000000002-20000002-2000000
χ382-2-222-20022-222-2-2-20000022-2-20000-22-2222-200002-200-22-222-2-20000000000-2200-22000000000000-22000000-22000000
χ392-2-222-20022-222-2-2-2000002-111i3−i3i3−i3-22-2-1-12-20000-11i3−i31-11-1-111i3−i3i3−i3i3i3−i3−i3002-2002-2000000000000-11i3−i30000-11i3−i30000
χ402-2-222-20022-222-2-2-2000002-111i3−i3i3−i3-22-2-1-12-20000-11i3−i31-11-1-111i3−i3i3−i3i3i3−i3−i300-2200-220000000000001-1−i3i300001-1−i3i30000
χ412-2-222-20022-222-2-2-2000002-111−i3i3−i3i3-22-2-1-12-20000-11−i3i31-11-1-111−i3i3−i3i3−i3−i3i3i3002-2002-2000000000000-11−i3i30000-11−i3i30000
χ422-2-222-20022-222-2-2-2000002-111−i3i3−i3i3-22-2-1-12-20000-11−i3i31-11-1-111−i3i3−i3i3−i3−i3i3i300-2200-220000000000001-1i3−i300001-1i3−i30000
χ432-2-22-220022-2-2-222-20000022-2-20000-22-222-220000-2200-22-2-2-22200000000002-200-220000000000002-2000000-22000000
χ442-2-22-220022-2-2-222-20000022-2-20000-22-222-220000-2200-22-2-2-2220000000000-22002-2000000000000-220000002-2000000
χ452-2-22-220022-2-2-222-2000002-111i3−i3i3−i3-22-2-1-1-2200001-1−i3i31-1111-1-1i3−i3i3−i3−i3−i3i3i3002-200-22000000000000-11i3−i300001-1−i3i30000
χ462-2-22-220022-2-2-222-2000002-111i3−i3i3−i3-22-2-1-1-2200001-1−i3i31-1111-1-1i3−i3i3−i3−i3−i3i3i300-22002-20000000000001-1−i3i30000-11i3−i30000
χ472-2-22-220022-2-2-222-2000002-111−i3i3−i3i3-22-2-1-1-2200001-1i3−i31-1111-1-1−i3i3−i3i3i3i3−i3−i3002-200-22000000000000-11−i3i300001-1i3−i30000
χ482-2-22-220022-2-2-222-2000002-111−i3i3−i3i3-22-2-1-1-2200001-1i3−i31-1111-1-1−i3i3−i3i3i3i3−i3−i300-22002-20000000000001-1i3−i30000-11−i3i30000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000000000
χ50444444-4-444444444-4-4-4-4-4-2-2-2-22222-2-2-2-21-2-22222-2-2221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ514444-4-444444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2122-2-2222222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ524444-4-4-4-4444-4-4-4-444-4-444-2-2-2-22222-2-2-2-212222-2-222-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-400004-440000-40000044-440000-4-44-440000000000-4-44000000000000000000000000000000000000000000000000
χ5444-4-400004-440000-4000004-22-22i3−2i3−2i32i3-4-442-2000000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ5544-4-400004-440000-4000004-22-2−2i32i32i3−2i3-4-442-2000000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ5644-4-400004-440000-400000-24-44000022-2-4-200002i3−2i3000022-2000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ5744-4-400004-440000-400000-24-44000022-2-4-20000−2i32i3000022-200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5844-4-400004-440000-400000-2-22-22i3−2i3−2i32i322-22100002i3−2i30000-1-113-33-3−i3i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ5944-4-400004-440000-400000-2-22-22i3−2i3−2i32i322-2210000−2i32i30000-1-11-33-33−i3i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ6044-4-400004-440000-400000-2-22-2−2i32i32i3−2i322-22100002i3−2i30000-1-11-33-33i3−i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ6144-4-400004-440000-400000-2-22-2−2i32i32i3−2i322-2210000−2i32i30000-1-113-33-3i3−i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ624-44-4004-44-4-40000404-4004-2-22-2-2224-4-42-2004-4000000-2220000-2-2220000000000000000000000000000000000000000
χ634-44-4004-44-4-40000404-400-244-444-4-4-222-4-200-22000000-2220000-2-2220000000000000000000000000000000000000000
χ644-44-4004-44-4-40000404-400-2-2-22-2-222-2222100-220000001-1-13-3-3311-1-1-333-3000000000000000000000000000000000000
χ654-44-4004-44-4-40000404-400-2-2-22-2-222-2222100-220000001-1-1-333-311-1-13-3-33000000000000000000000000000000000000
χ664-44-400-444-4-4000040-44004-2-2222-2-24-4-42-200-44000000-222000022-2-20000000000000000000000000000000000000000
χ674-44-400-444-4-4000040-4400-244-4-4-444-222-4-2002-2000000-222000022-2-20000000000000000000000000000000000000000
χ684-44-400-444-4-4000040-4400-2-2-2222-2-2-22221002-20000001-1-13-3-33-1-1113-3-33000000000000000000000000000000000000
χ694-44-400-444-4-4000040-4400-2-2-2222-2-2-22221002-20000001-1-1-333-3-1-111-333-3000000000000000000000000000000000000
χ704-4-444-40044-444-4-4-400000-24-4-400002-224-2-2200004-4002-22-2-22200000000000000000000000000000000000000000000
χ714-4-444-40044-444-4-4-400000-2-2222i3−2i32i3−2i32-22-21-220000-222i3−2i3-11-111-1-1−i3i3−i3i3−i3−i3i3i3000000000000000000000000000000000000
χ724-4-444-40044-444-4-4-400000-2-222−2i32i3−2i32i32-22-21-220000-22−2i32i3-11-111-1-1i3−i3i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ734-4-44-440044-4-4-444-400000-24-4-400002-224-22-20000-44002-2222-2-200000000000000000000000000000000000000000000
χ744-4-44-440044-4-4-444-400000-2-2222i3−2i32i3−2i32-22-212-200002-2−2i32i3-11-1-1-111−i3i3−i3i3i3i3−i3−i3000000000000000000000000000000000000
χ754-4-44-440044-4-4-444-400000-2-222−2i32i3−2i32i32-22-212-200002-22i3−2i3-11-1-1-111i3−i3i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ7666666666-3-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002200220020002000-1-1-1-10000-1-1-1-100000000
χ7766666666-3-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-200-2-200-2000-200011110000111100000000
χ78666666-6-6-3-3-3-3-3-3-3-3-63333000000000000000000000000000000000000002200-2-2002000-2000-1-1-1-10000111100000000
χ79666666-6-6-3-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-2002200-2000200011110000-1-1-1-100000000
χ806666-6-666-3-3-33333-3-6-3-3330000000000000000000000000000000000000022002200-2000-2000-1-1110000-1-11100000000
χ816666-6-666-3-3-33333-3-6-3-33300000000000000000000000000000000000000-2-200-2-2002000200011-1-1000011-1-100000000
χ826666-6-6-6-6-3-3-33333-3633-3-3000000000000000000000000000000000000002200-2-200-20002000-1-111000011-1-100000000
χ836666-6-6-6-6-3-3-33333-3633-3-300000000000000000000000000000000000000-2-20022002000-200011-1-10000-1-11100000000
χ846-66-6006-6-3333i3−3i33i3−3i3-30-333i3−3i3000000000000000000000000000000000000002-2002-20000000000-11i3−i30000-11i3−i300000000
χ856-66-6006-6-3333i3−3i33i3−3i3-30-333i3−3i300000000000000000000000000000000000000-2200-2200000000001-1−i3i300001-1−i3i300000000
χ866-66-6006-6-333−3i33i3−3i33i3-30-33−3i33i3000000000000000000000000000000000000002-2002-20000000000-11−i3i30000-11−i3i300000000
χ876-66-6006-6-333−3i33i3−3i33i3-30-33−3i33i300000000000000000000000000000000000000-2200-2200000000001-1i3−i300001-1i3−i300000000
χ886-66-600-66-3333i3−3i33i3−3i3-303-3−3i33i3000000000000000000000000000000000000002-200-220000000000-11i3−i300001-1−i3i300000000
χ896-66-600-66-3333i3−3i33i3−3i3-303-3−3i33i300000000000000000000000000000000000000-22002-200000000001-1−i3i30000-11i3−i300000000
χ906-66-600-66-333−3i33i3−3i33i3-303-33i3−3i3000000000000000000000000000000000000002-200-220000000000-11−i3i300001-1i3−i300000000
χ916-66-600-66-333−3i33i3−3i33i3-303-33i3−3i300000000000000000000000000000000000000-22002-200000000001-1i3−i30000-11−i3i300000000
χ921212-12-120000-66-66i3−6i3−6i36i360000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-120000-66-6−6i36i36i3−6i360000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121212-1200-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-121200-6-6666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000

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