Finite Group Databasebeta

← Group #13151342

Character table — Group #13151342

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12222236662466336666666124444366666666612124444444444121212126666612121222244466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-11-11
χ51111111111-1-11111111111-1-1111111111-1-1111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-11111111-1-1-1-1-1-111-11-11
χ81111111111-1-11111111111-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-111-111-1-1-1-11111-1-1111-11-1
χ91111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-111-1-111-1-1-1-111111-1-111-1-1-1-11-11-11-1-111-1-111-1-1-1-1111-1-11
χ101111-1-111111-1-1-1111111111-111111-1-1-1-111111-1-1-1-111-1-111-1-111111-1-111-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-111-1
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1111-1-1-11111-1-1-1-11111-1-111-1-1
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-11-1-1-11111-1-11111-1-111-1-1-1-111
χ131111-1-11111-11-1-111111111-1111111-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-11111-11-11-11111-1-111-1-1-1-1-1-1-111-1
χ141111-1-11111-11-1-111111111-1111111-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-111111-1-1-1111-1-111-1-111-1-1-1-11-1-11
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1111-1-111-1-1-1-1111111-1-111
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-11111-1-1111111-1-1
χ17222222222222222-122-1-1-12220000-122-1-122-1-1-12200002222000000-1-1-1-1-1-1-1-1002002000000-1-1-1-100000-10-1
χ18222222222222222-122-1-1-12220000-122-1-122-1-1-1220000-2-2-2-2000000-1-1-1-1-1-1-1-100-200-2000000111100000101
χ1922222222222222-12-1-1222-1222222-1-1-122-1-1-1-1-1-1-10000000022-1-1-1-12-1-1-1-12-1-1200200-1-100000000-1-1-1-10000
χ2022222222222222-12-1-1222-122-2-2-2-2-1-1-122-1-1-1-1-1-1-100000000-2-211112-1-1-1-12-1-1-200-200110000000011110000
χ212222222222-2-2222-122-1-1-12-2-20000-122-1-1-2-2-1-1-1-2-2000022220000001-1-11111100-200-2000000-1-1-1-100000101
χ222222222222-2-2222-122-1-1-12-2-20000-122-1-1-2-2-1-1-1-2-20000-2-2-2-20000001-1-111111002002000000111100000-10-1
χ232222222222-2-222-12-1-1222-1-2-22222-1-1-12211-1-1-1110000000022-1-1-1-1-2-1-111-211-200-2001100000000-1-1110000
χ242222222222-2-222-12-1-1222-1-2-2-2-2-2-2-1-1-12211-1-1-11100000000-2-21111-2-1-111-211200200-1-10000000011-1-10000
χ252222-2-222222-2-2-22-122-1-1-122-20000-1-2-21122-1-1-1-2-2000022-2-2000000-111-1-111100-2002000000-1-1110000010-1
χ262222-2-222222-2-2-22-122-1-1-122-20000-1-2-21122-1-1-1-2-20000-2-222000000-111-1-111100200-200000011-1-100000-101
χ272222-2-222222-2-2-2-12-1-1222-12-22222-111-2-2-1-1-1-1-11100000000-2-2-1-1-1-1211-1-1-211-200200110000000011-1-10000
χ282222-2-222222-2-2-2-12-1-1222-12-2-2-2-2-2-111-2-2-1-1-1-1-11100000000221111211-1-1-211200-200-1-100000000-1-1110000
χ292222-2-22222-22-2-22-122-1-1-12-220000-1-2-211-2-2-1-1-122000022-2-200000011111-1-1-100200-2000000-1-11100000-101
χ302222-2-22222-22-2-22-122-1-1-12-220000-1-2-211-2-2-1-1-1220000-2-22200000011111-1-1-100-200200000011-1-10000010-1
χ312222-2-22222-22-2-2-12-1-1222-1-222222-111-2-211-1-1-1-1-100000000-2-2-1-1-1-1-211112-1-1200-200-1-10000000011110000
χ322222-2-22222-22-2-2-12-1-1222-1-22-2-2-2-2-111-2-211-1-1-1-1-100000000221111-211112-1-1-2002001100000000-1-1-1-10000
χ3322-2-20022-2-20000222-2-2-22-2002i2i−2i−2i20000002-2-200002i−2i002-2002i2i−2i−2i0000000000000000002i−2i002-200000000
χ3422-2-20022-2-20000222-2-2-22-2002i2i−2i−2i20000002-2-20000−2i2i00-22002i2i−2i−2i000000000000000000−2i2i00-2200000000
χ3522-2-20022-2-20000222-2-2-22-200−2i−2i2i2i20000002-2-200002i−2i00-2200−2i−2i2i2i0000000000000000002i−2i00-2200000000
χ3622-2-20022-2-20000222-2-2-22-200−2i−2i2i2i20000002-2-20000−2i2i002-200−2i−2i2i2i000000000000000000−2i2i002-200000000
χ372-22-2002-2-22000022-222-2-2-2002i−2i2i−2i2000000-22-2002-2002i−2i00002i−2i2i−2i00000000000000002-2002i−2i0000000000
χ382-22-2002-2-22000022-222-2-2-2002i−2i2i−2i2000000-22-200-2200−2i2i00002i−2i2i−2i0000000000000000-2200−2i2i0000000000
χ392-22-2002-2-22000022-222-2-2-200−2i2i−2i2i2000000-22-2002-200−2i2i0000−2i2i−2i2i00000000000000002-200−2i2i0000000000
χ402-22-2002-2-22000022-222-2-2-200−2i2i−2i2i2000000-22-200-22002i−2i0000−2i2i−2i2i0000000000000000-22002i−2i0000000000
χ412-2-222-22-22-2002-222-2-2-22-22002-2-2222-22-200-2-2200000000002-22-2-2202-20000000000000000000002-2000000
χ422-2-222-22-22-2002-222-2-2-22-2200-222-222-22-200-2-220000000000-22-222-202-2000000000000000000000-22000000
χ432-2-222-22-22-2002-2-1211-22-2-1002-2-22-1-112-2−i3i311-1−i3i3000000002-2-111-10-11−i3i30−i3i3000000−i3i300000000-11−i3i30000
χ442-2-222-22-22-2002-2-1211-22-2-1002-2-22-1-112-2i3−i311-1i3−i3000000002-2-111-10-11i3−i30i3−i3000000i3−i300000000-11i3−i30000
χ452-2-222-22-22-2002-2-1211-22-2-100-222-2-1-112-2−i3i311-1−i3i300000000-221-1-110-11−i3i30−i3i3000000i3−i3000000001-1i3−i30000
χ462-2-222-22-22-2002-2-1211-22-2-100-222-2-1-112-2i3−i311-1i3−i300000000-221-1-110-11i3−i30i3−i3000000−i3i3000000001-1−i3i30000
χ472-2-22-222-22-200-2222-2-2-22-22002-2-222-22-2200-2-220000000000-222-2-220-22000000000000000000000-22000000
χ482-2-22-222-22-200-2222-2-2-22-2200-222-22-22-2200-2-2200000000002-2-222-20-220000000000000000000002-2000000
χ492-2-22-222-22-200-22-1211-22-2-1002-2-22-11-1-22−i3i311-1i3−i300000000-22-111-101-1−i3i30i3−i3000000i3−i3000000001-1−i3i30000
χ502-2-22-222-22-200-22-1211-22-2-1002-2-22-11-1-22i3−i311-1−i3i300000000-22-111-101-1i3−i30−i3i3000000−i3i3000000001-1i3−i30000
χ512-2-22-222-22-200-22-1211-22-2-100-222-2-11-1-22−i3i311-1i3−i3000000002-21-1-1101-1−i3i30i3−i3000000−i3i300000000-11i3−i30000
χ522-2-22-222-22-200-22-1211-22-2-100-222-2-11-1-22i3−i311-1−i3i3000000002-21-1-1101-1i3−i30−i3i3000000i3−i300000000-11−i3i30000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2-2-2-2-2111-2-200000000000000-21111-211000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001-2-2-2-2221112200000000000000211-1-12-1-1000000000000000000000000
χ554444-4-444444-4-4-4-2-2-2-2-2-2-2-24-4000012222-2-21112200000000000000-2-1-1112-1-1000000000000000000000000
χ564444-4-44444-44-4-4-2-2-2-2-2-2-2-2-4400001222222111-2-2000000000000002-1-1-1-1-211000000000000000000000000
χ5744-4-40044-4-400004-24-422-2-4000000-2000000-222000000004-40000000000000000000000000000-2200000000
χ5844-4-40044-4-400004-24-422-2-4000000-2000000-22200000000-4400000000000000000000000000002-200000000
χ5944-4-40044-4-40000-24-22-4-442004i4i−4i−4i-2000000-222000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-40044-4-40000-24-22-4-44200−4i−4i4i4i-2000000-2220000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-4004-4-4400004-2-44-222-4000000-20000002-220000004i−4i0000000000000000000000000000−2i2i0000000000
χ624-44-4004-4-4400004-2-44-222-4000000-20000002-22000000−4i4i00000000000000000000000000002i−2i0000000000
χ634-44-4004-4-440000-242-24-4-42004i−4i4i−4i-20000002-22000000000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-4004-4-440000-242-24-4-4200−4i4i−4i4i-20000002-220000000000002i−2i2i−2i00000000000000000000000000000000
χ654-4-444-44-44-4004-44-2-4-42-224000000-24-4-220022-200000000000000000-2200000000000000000000000000000
χ664-4-444-44-44-4004-4-2-2222-22-20000001-22-22−2i32i3-1-11−2i32i30000000000000001-1i3−i30i3−i3000000000000000000000000
χ674-4-444-44-44-4004-4-2-2222-22-20000001-22-222i3−2i3-1-112i3−2i30000000000000001-1−i3i30−i3i3000000000000000000000000
χ684-4-44-444-44-400-444-2-4-42-224000000-2-442-20022-2000000000000000002-200000000000000000000000000000
χ694-4-44-444-44-400-44-2-2222-22-200000012-22-2−2i32i3-1-112i3−2i3000000000000000-11i3−i30−i3i3000000000000000000000000
χ704-4-44-444-44-400-44-2-2222-22-200000012-22-22i3−2i3-1-11−2i32i3000000000000000-11−i3i30i3−i3000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-30000000000000000222200000000000000000002002000-1-1-1-100000000-10-10
χ72666666-3-3-3-366-3-300000000-3-30000000000000000-2-2-2-20000000000000000000-200-20001111000000001010
χ73666666-3-3-3-3-6-6-3-30000000033000000000000000022220000000000000000000-200-2000-1-1-1-1000000001010
χ74666666-3-3-3-3-6-6-3-300000000330000000000000000-2-2-2-200000000000000000002002000111100000000-10-10
χ756666-6-6-3-3-3-36-63300000000-33000000000000000022-2-20000000000000000000200-2000-1-11100000000-1010
χ766666-6-6-3-3-3-36-63300000000-330000000000000000-2-2220000000000000000000-200200011-1-10000000010-10
χ776666-6-6-3-3-3-3-6633000000003-3000000000000000022-2-20000000000000000000-2002000-1-1110000000010-10
χ786666-6-6-3-3-3-3-6633000000003-30000000000000000-2-2220000000000000000000200-200011-1-100000000-1010
χ7988-8-80088-8-80000-4-4-4444-4400000020000002-2-2000000000000000000000000000000000000000000000000
χ808-88-8008-8-880000-4-44-4-44440000002000000-22-2000000000000000000000000000000000000000000000000
χ811212-12-1200-6-666000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000000
χ821212-12-1200-6-66600000000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000000
χ8312-1212-1200-666-60000000000000000000000000000004-40000000000000000000000000000-2200000000000000
χ8412-1212-1200-666-6000000000000000000000000000000-4400000000000000000000000000002-200000000000000
χ8512-12-121212-12-66-6600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-1212-66-66006-6000000000000000000000000000000000000000000000000000000000000000000000000

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