Finite Group Databasebeta

← Group #13140591

Character table — Group #13140591

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222224466666666888121212121212121218182424242424242424242436363636363636363636363636363636363636363672727272727272
order122234466612123366666626636661212121244666666661212224448888121212122424242424242424266661212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111
χ92222222222222-12-1-12-12222-1-1-1-12-12-10022-1-1-1-1-1-1-1-12200022000000-1-1-1-10000000-1-100
χ102222222222222-12-1-12-12222-1-1-1-12-12-10022-1-1-1-1-1-1-1-1-2-2000-2-2000000111100000001100
χ112222222222222-12-1-12-12-2-2-2-1-1-1-12-12-100-2-2111111-1-122000-2-200000011110000000-1-100
χ122222222222222-12-1-12-12-2-2-2-1-1-1-12-12-100-2-2111111-1-1-2-200022000000-1-1-1-100000001100
χ13222222222222-12-122-12-1222-1-1-1-1-12-1200-1-122-1-1-1-1-1-100022002200000000-1-1-1-100000-1-1
χ14222222222222-12-122-12-1222-1-1-1-1-12-1200-1-122-1-1-1-1-1-1000-2-200-2-20000000011110000011
χ15222222222222-12-122-12-1-2-2-2-1-1-1-1-12-120011-2-21111-1-10002200-2-200000000111100000-1-1
χ16222222222222-12-122-12-1-2-2-2-1-1-1-1-12-120011-2-21111-1-1000-2-2002200000000-1-1-1-10000011
χ1722222-2-2222-2-2222222220002222-2-2-2-22200000000-2-200-200000022-2-2000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-200000000-2-2002000000-2-222000000000000000
χ1922-2-222-22-2-22-222-2-2-222-20002-2-2222-2-200000000002-20002i−2i0000000000000000000002i−2i
χ2022-2-222-22-2-22-222-2-2-222-20002-2-2222-2-200000000002-2000−2i2i000000000000000000000−2i2i
χ2122-2-222-22-2-22-2-121-2-2-121000-111-1-121-200−i3i300−i3−i3i3i3-110002i−2i00000000000033−3−300000−ii
χ2222-2-222-22-2-22-2-121-2-2-121000-111-1-121-200−i3i300−i3−i3i3i3-11000−2i2i000000000000−3−33300000i−i
χ2322-2-222-22-2-22-2-121-2-2-121000-111-1-121-200i3−i300i3i3−i3−i3-110002i−2i000000000000−3−33300000−ii
χ2422-2-222-22-2-22-2-121-2-2-121000-111-1-121-200i3−i300i3i3−i3−i3-11000−2i2i00000000000033−3−300000i−i
χ2522-2-22-222-2-2-2222-2-2-222-20002-2-22-2-2220000000000-222-200000000000000000000002-200
χ2622-2-22-222-2-2-2222-2-2-222-20002-2-22-2-2220000000000-22-220000000000000000000000-2200
χ2722-2-22-222-2-2-222-1-2112-1-2000-111-1-212-10000−i3i3−i3i3−i3i31-12-200000000000−i3−i3i3i30000000-1100
χ2822-2-22-222-2-2-222-1-2112-1-2000-111-1-212-10000−i3i3−i3i3−i3i31-1-2200000000000i3i3−i3−i300000001-100
χ2922-2-22-222-2-2-222-1-2112-1-2000-111-1-212-10000i3−i3i3−i3i3−i31-12-200000000000i3i3−i3−i30000000-1100
χ3022-2-22-222-2-2-222-1-2112-1-2000-111-1-212-10000i3−i3i3−i3i3−i31-1-2200000000000−i3−i3i3i300000001-100
χ312-2-22200-22-20022-22-2-2-2200022-2-200002-20000000000000002−22−22-2002−22−22−22−20000000
χ322-2-22200-22-20022-22-2-2-2200022-2-200002-2000000000000000−22−222-200−22−22−22−220000000
χ332-2-22200-22-20022-22-2-2-2200022-2-20000-220000000000000002−2−22-22002−22−2−22−220000000
χ342-2-22200-22-20022-22-2-2-2200022-2-20000-22000000000000000−222−2-2200−22−222−22−20000000
χ35444444444444-2-2-2-2-2-2-2-24441111-2-2-2-200-2-2-2-21111110000000000000000000000000000
χ36444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-2002222-1-1-1-1110000000000000000000000000000
χ3744444-4-4444-4-44-24-2-24-24000-2-2-2-2-42-420000000000220000000000000000000000000000
χ3844444-4-4444-4-4-24-244-24-2000-2-2-2-22-42-40000000000220000000000000000000000000000
χ3944444-4-4444-4-4-2-2-2-2-2-2-2-2000111122220000003-3-33-1-10000000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-200011112222000000-333-3-1-10000000000000000000000000000
χ4144-4-444-44-4-44-44-2-4224-2-4000-222-24-2-420000000000-220000000000000000000000000000
χ4244-4-444-44-4-44-4-2-2222-2-220001-1-11-2-22200−2i32i300i3i3−i3−i31-10000000000000000000000000000
χ4344-4-444-44-4-44-4-2-2222-2-220001-1-11-2-222002i3−2i300−i3−i3i3i31-10000000000000000000000000000
χ4444-4-44-444-4-4-44-242-4-4-242000-222-22-4-2400000000002-20000000000000000000000000000
χ4544-4-44-444-4-4-44-2-2222-2-220001-1-1122-2-20000−2i32i3i3−i3i3−i3-110000000000000000000000000000
χ4644-4-44-444-4-4-44-2-2222-2-220001-1-1122-2-200002i3−2i3−i3i3−i3i3-110000000000000000000000000000
χ474-44-4400-4-4400444-44-4-4-40004-44-400000000000000000000000000000000000000000000
χ484-44-4400-4-44004-242-2-42-4000-22-2200000000000000000000000000000i6−i6−i6i600000000000
χ494-44-4400-4-44004-242-2-42-4000-22-2200000000000000000000000000000−i6i6i6−i600000000000
χ504-44-4400-4-4400-24-2-442-42000-22-220000000000000000000000000000000006−6−660000000
χ514-44-4400-4-4400-24-2-442-42000-22-22000000000000000000000000000000000−666−60000000
χ524-4-44400-44-4004-2-4-22-424000-2-22200000000000000000000022−22000000−22−2200000000000
χ534-4-44400-44-4004-2-4-22-424000-2-222000000000000000000000−22220000002−22−200000000000
χ544-4-44400-44-400-2424-42-4-2000-2-2220000000000000000000000022−2200000000−22−220000000
χ554-4-44400-44-400-2424-42-4-2000-2-22200000000000000000000000−2222000000002−22−20000000
χ566666-366-3-3-3-3-3000000006-3-300000000220000000000002000000-1-1-1-1000000002-1-10000
χ576666-366-3-3-3-3-3000000006-3-300000000-2-2000000000000-2000000111100000000-2110000
χ586666-366-3-3-3-3-300000000-63300000000220000000000002000000-1-1-1-100000000-2110000
χ596666-366-3-3-3-3-300000000-63300000000-2-2000000000000-20000001111000000002-1-10000
χ606666-3-6-6-3-3-333000000000−3i33i30000000022000000000000-2000000-1-111000000000−i3i30000
χ616666-3-6-6-3-3-333000000000−3i33i300000000-2-2000000000000200000011-1-1000000000i3−i30000
χ626666-3-6-6-3-3-3330000000003i3−3i30000000022000000000000-2000000-1-111000000000i3−i30000
χ636666-3-6-6-3-3-3330000000003i3−3i300000000-2-2000000000000200000011-1-1000000000−i3i30000
χ648-88-8800-8-8800-4-4-44-44440002-22-200000000000000000000000000000000000000000000
χ658-8-88800-88-800-4-44-4444-400022-2-200000000000000000000000000000000000000000000
χ661212-12-12-612-12-666-6600000000000000000000000000000000000000000000000000000000000
χ671212-12-12-6-1212-6666-600000000000000000000000000000000000000000000000000000000000
χ6812-1212-12-60066-600000000000000000000000000000000000000000000−2i32i3000000000000000
χ6912-1212-12-60066-6000000000000000000000000000000000000000000002i3−2i3000000000000000
χ7012-12-1212-6006-660000000000000000000004-40000000000000000000-2200000000000000000
χ7112-12-1212-6006-66000000000000000000000-4400000000000000000002-200000000000000000

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