Finite Group Databasebeta

← Group #13140964

Character table — Group #13140964

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222224466666666888121212121212121218181818181818181818181824242424242424242424363636363636363636363636727272727272727272
order1222344666121233666666412123666121212122244888888881212121212121212121266121224242424242424242446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111
χ711111111111111111111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222222222-12-122-1-1222-1-1-1-12-1-1222220000000022-1-1-1-1-1-1-1-1-1-1-1-10000000002000-1-100
χ102222222222222-12-122-1-1222-1-1-1-12-1-12-2-2-2-20000000022-1-1-1-1-1-1-1-11111000000000-20001100
χ112222222222222-12-122-1-1-2-2-2-1-1-1-12-1-12222200000000-2-211-1-11111-1-1-1-1000000000-20001100
χ122222222222222-12-122-1-1-2-2-2-1-1-1-12-1-12-2-2-2-200000000-2-211-1-1111111110000000002000-1-100
χ13222222222222-12-12-1-122222-1-1-1-1-122-1000000002222-1-122-1-1-1-1-1-100000000-1-1-1-10020000-1-1
χ14222222222222-12-12-1-122222-1-1-1-1-122-100000000-2-2-2-2-1-122-1-1-1-1-1-100000000111100-2000011
χ15222222222222-12-12-1-122-2-2-2-1-1-1-1-122-100000000222211-2-2-1-1111100000000-1-1-1-100-2000011
χ16222222222222-12-12-1-122-2-2-2-1-1-1-1-122-100000000-2-2-2-211-2-2-1-111110000000011110020000-1-1
χ1722222-2-2222-2-2222222220002222-2-2-2-222-2-2000000000000-2-2000022-2-200000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-222000000000000-2-20000-2-22200000000000000000
χ1922222-2-2222-2-22-12-122-1-1000-1-1-1-1-211-222-2-20000000000−i3i311−i3−i3i3i3-1-1110000000000000−i3i300
χ2022222-2-2222-2-22-12-122-1-1000-1-1-1-1-211-222-2-20000000000i3−i311i3i3−i3−i3-1-1110000000000000i3−i300
χ2122222-2-2222-2-22-12-122-1-1000-1-1-1-1-211-2-2-2220000000000−i3i311−i3−i3i3i311-1-10000000000000i3−i300
χ2222222-2-2222-2-22-12-122-1-1000-1-1-1-1-211-2-2-2220000000000i3−i311i3i3−i3−i311-1-10000000000000−i3i300
χ2322-2-222-2-2-222-222-2-22-22-20002-2-2222-2-2000000002i2i−2i−2i00002-20000000000002i2i−2i−2i000000000
χ2422-2-222-2-2-222-222-2-22-22-20002-2-2222-2-200000000−2i−2i2i2i00002-2000000000000−2i−2i2i2i000000000
χ2522-2-222-2-2-222-2-121-2-112-2000-111-1-12-21000000002i2i−2i−2i−i3i300-11−i3i3−i3i300000000−i−iii00000003−3
χ2622-2-222-2-2-222-2-121-2-112-2000-111-1-12-21000000002i2i−2i−2ii3−i300-11i3−i3i3−i300000000−i−iii0000000−33
χ2722-2-222-2-2-222-2-121-2-112-2000-111-1-12-2100000000−2i−2i2i2i−i3i300-11−i3i3−i3i300000000ii−i−i0000000−33
χ2822-2-222-2-2-222-2-121-2-112-2000-111-1-12-2100000000−2i−2i2i2ii3−i300-11i3−i3i3−i300000000ii−i−i00000003−3
χ2922-2-22-22-2-22-2222-2-22-22-20002-2-22-2-222000022-2-200000000-220000000022-2-20000000000000
χ3022-2-22-22-2-22-2222-2-22-22-20002-2-22-2-2220000-2-22200000000-2200000000-2-2220000000000000
χ312-22-22002-2-200222-2-2-2-2200022-2-20000002i−2i−i2i2−i2i22−22−20000000000002i−2i−i2i2−i2i22−22−2000000000
χ322-22-22002-2-200222-2-2-2-2200022-2-20000002i−2ii2−i2i2−i2−22−220000000000002i−2ii2−i2i2−i2−22−22000000000
χ332-22-22002-2-200222-2-2-2-2200022-2-2000000−2i2i−i2i2−i2i2−22−22000000000000−2i2i−i2i2−i2i2−22−22000000000
χ342-22-22002-2-200222-2-2-2-2200022-2-2000000−2i2ii2−i2i2−i22−22−2000000000000−2i2ii2−i2i2−i22−22−2000000000
χ352-2-22200-22-20022-22-22-2-20002-22-200002-200−i2i2i2−i2−i2i2i2−i200000000002-200−i2i2i2−i2−i2i2i2−i2000000000
χ362-2-22200-22-20022-22-22-2-20002-22-200002-200i2−i2−i2i2i2−i2−i2i200000000002-200i2−i2−i2i2i2−i2−i2i2000000000
χ372-2-22200-22-20022-22-22-2-20002-22-20000-2200−i2i2i2−i2i2−i2−i2i20000000000-2200−i2i2i2−i2i2−i2−i2i2000000000
χ382-2-22200-22-20022-22-22-2-20002-22-20000-2200i2−i2−i2i2−i2i2i2−i20000000000-2200i2−i2−i2i2−i2i2i2−i2000000000
χ39444444444444-2-2-2-2-2-2-2-24441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000
χ40444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-2000000000000222211-1-1-1-1000000000000000000000
χ4144444-4-4444-4-4-24-24-2-244000-2-2-2-22-4-420000000000000000220000000000000000000000000
χ4244444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200000000000000−2i32i3-1-1i3i3−i3−i3000000000000000000000
χ4344444-4-4444-4-4-2-2-2-2-2-2-2-200011112222000000000000002i3−2i3-1-1−i3−i3i3i3000000000000000000000
χ4444-4-444-4-4-444-44-2-424-4-22000-222-24-22-40000000000000000-220000000000000000000000000
χ4544-4-444-4-4-444-4-2-222-22-220001-1-11-2-222000000000000−2i32i3001-1i3−i3i3−i3000000000000000000000
χ4644-4-444-4-4-444-4-2-222-22-220001-1-11-2-2220000000000002i3−2i3001-1−i3i3−i3i3000000000000000000000
χ4744-4-44-44-4-44-444-2-424-4-22000-222-2-42-2400000000000000002-20000000000000000000000000
χ4844-4-44-44-4-44-44-242-4-224-4000-222-22-44-200000000000000002-20000000000000000000000000
χ4944-4-44-44-4-44-44-2-222-22-220001-1-1122-2-20000000000000000-113-3-33000000000000000000000
χ5044-4-44-44-4-44-44-2-222-22-220001-1-1122-2-20000000000000000-11-333-3000000000000000000000
χ514-44-44004-4-4004-242-4-42-2000-2-2220000004i−4i00000000000000000000−2i2i00000000000000000
χ524-44-44004-4-4004-242-4-42-2000-2-222000000−4i4i000000000000000000002i−2i00000000000000000
χ534-44-44004-4-400-24-2-422-44000-2-22200000000000022−2222−22000000000000000000−22−22000000000
χ544-44-44004-4-400-24-2-422-44000-2-222000000000000−2222−22220000000000000000002−22−2000000000
χ554-4-44400-44-4004-2-4-2-4422000-22-2200004-400000000000000000000-220000000000000000000
χ564-4-44400-44-4004-2-4-2-4422000-22-220000-44000000000000000000002-20000000000000000000
χ574-4-44400-44-400-24242-2-4-4000-22-22000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i2000000000
χ584-4-44400-44-400-24242-2-4-4000-22-220000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i2000000000
χ596666-366-3-3-3-3-3000000006-3-30000000000002222000000000000000000-1-1-1-10000200-1-10000
χ606666-366-3-3-3-3-3000000006-3-3000000000000-2-2-2-200000000000000000011110000-200110000
χ616666-366-3-3-3-3-300000000-6330000000000002222000000000000000000-1-1-1-10000-200110000
χ626666-366-3-3-3-3-300000000-633000000000000-2-2-2-200000000000000000011110000200-1-10000
χ6366-6-6-3-6633-33-3000000000−3i33i300000000000022-2-2000000000000000000-1-1110000000−i3i30000
χ6466-6-6-3-6633-33-3000000000−3i33i3000000000000-2-22200000000000000000011-1-10000000i3−i30000
χ6566-6-6-3-6633-33-30000000003i3−3i300000000000022-2-2000000000000000000-1-1110000000i3−i30000
χ6666-6-6-3-6633-33-30000000003i3−3i3000000000000-2-22200000000000000000011-1-10000000−i3i30000
χ678-88-88008-8-800-4-4-44444-400022-2-200000000000000000000000000000000000000000000000
χ688-8-88800-88-800-4-44-44-4440002-22-200000000000000000000000000000000000000000000000
χ6912121212-6-12-12-6-6-66600000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-612-1266-6-6600000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-600-6660000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000000000
χ7212-1212-12-600-66600000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000000000
χ7312-12-1212-6006-660000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000000000
χ7412-12-1212-6006-6600000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000000000

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