Finite Group Databasebeta

← Group #13140963

Character table — Group #13140963

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222222444466666666881212121212121212121212121818181818182424242424242424363636363636363636363636363636363636363636727272727272
order122234466644121233666666121236661212121212121212441212121212121212121212122226666668888242424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ51111111111-1-11111111111-1-11111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-11-1-111
χ81111111111-1-11111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1-1-111111-111-1-1
χ9222222222222222-12-1-122-122-1-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000000000000
χ10222222222222222-12-1-122-122-1-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2111111000000000000000000
χ1122222222222222-12-122-1-1222-1-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100000000000220000-1-1-1-10200-1-1
χ1222222222222222-12-122-1-1222-1-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100000000000-2-2000011110-20011
χ132222222222-2-2222-12-1-122-1-2-2-1-1-1-12-1-11111222-1-1-1-1-2-2-1-111112-2-2-1-11111000000000000000000
χ142222222222-2-2222-12-1-122-1-2-2-1-1-1-12-1-111112-2-21111-2-2-1-11111-22211-1-1-1-1000000000000000000
χ152222222222-2-222-12-122-1-12-2-2-1-1-1-1-122-2-2-2-2-100000011-1-1111100000000000220000-1-1-1-10-20011
χ162222222222-2-222-12-122-1-12-2-2-1-1-1-1-122-2-2-2-2-100000011-1-1111100000000000-2-2000011110200-1-1
χ1722222-2-222200-2-222222222002222-2-2-20000-222222200-2-20000-200-2-20000000000000000000000
χ1822222-2-222200-2-222222222002222-2-2-20000-2-2-2-2-2-2-200-2-20000200220000000000000000000000
χ1922222-2-222200-2-22-12-1-122-100-1-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-20011−i3−i3i3i3000000000000000000
χ2022222-2-222200-2-22-12-1-122-100-1-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i3200-1-1i3i3−i3−i3000000000000000000
χ2122222-2-222200-2-22-12-1-122-100-1-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-20011i3i3−i3−i3000000000000000000
χ2222222-2-222200-2-22-12-1-122-100-1-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i3200-1-1−i3−i3i3i3000000000000000000
χ2322-2-22002-2-200002222-2-2-2-20022-2-2000000002i−2i2i2i−2i−2i00000000000000000−i2i22−2−i2−i2i2i222−2−2000000
χ2422-2-22002-2-200002222-2-2-2-20022-2-2000000002i−2i2i2i−2i−2i00000000000000000i2−i2−22i2i2−i2−i2−2−222000000
χ2522-2-22002-2-200002222-2-2-2-20022-2-200000000−2i2i−2i−2i2i2i00000000000000000−i2i2−22−i2−i2i2i2−2−222000000
χ2622-2-22002-2-200002222-2-2-2-20022-2-200000000−2i2i−2i−2i2i2i00000000000000000i2−i22−2i2i2−i2−i222−2−2000000
χ272-22-222-2-2-22002-222-2-2-22-22002-2-22-22-200002000000002-2000002-2002-22-2000000000000000000
χ282-22-222-2-2-22002-222-2-2-22-22002-2-22-22-200002000000002-200000-2200-22-22000000000000000000
χ292-22-222-2-2-22002-22-1-2112-2-100-111-1-2-11−i3i3−i3i3200−i3i3−i3i300-11−i3i3−i3i302-2−i3i3-11-11000000000000000000
χ302-22-222-2-2-22002-22-1-2112-2-100-111-1-2-11−i3i3−i3i3200i3−i3i3−i300-11−i3i3−i3i30-22i3−i31-11-1000000000000000000
χ312-22-222-2-2-22002-22-1-2112-2-100-111-1-2-11i3−i3i3−i3200−i3i3−i3i300-11i3−i3i3−i30-22−i3i31-11-1000000000000000000
χ322-22-222-2-2-22002-22-1-2112-2-100-111-1-2-11i3−i3i3−i3200i3−i3i3−i300-11i3−i3i3−i302-2i3−i3-11-11000000000000000000
χ332-22-22-22-2-222-2-2222-2-2-22-222-22-2-222-222-2-22-20000002-2-222-2-22000000000000000000000000000
χ342-22-22-22-2-222-2-222-1-2112-2-12-2-111-121-1-111-1-200−i3i3−i3i32-21-1-111-1000i3−i3−i3i3i3−i3000000000000000000
χ352-22-22-22-2-222-2-222-1-2112-2-12-2-111-121-1-111-1-200i3−i3i3−i32-21-1-111-1000−i3i3i3−i3−i3i3000000000000000000
χ362-22-22-22-2-222-2-22-121-2-2-1122-2-111-1-1-222-2-221000000-111-1-111-1000000000000000003−33−300003−3
χ372-22-22-22-2-222-2-22-121-2-2-1122-2-111-1-1-222-2-221000000-111-1-111-100000000000000000−33−330000−33
χ382-22-22-22-2-22-22-2222-2-2-22-22-222-2-222-22-222-2-2000000-22-22-222-2000000000000000000000000000
χ392-22-22-22-2-22-22-222-1-2112-2-1-22-111-121-11-1-11-200−i3i3−i3i3-221-11-1-11000i3−i3i3−i3−i3i3000000000000000000
χ402-22-22-22-2-22-22-222-1-2112-2-1-22-111-121-11-1-11-200i3−i3i3−i3-221-11-1-11000−i3i3−i3i3i3−i3000000000000000000
χ412-22-22-22-2-22-22-22-121-2-2-112-22-111-1-1-22-222-210000001-11-11-1-11000000000000000003−33−30000−33
χ422-22-22-22-2-22-22-22-121-2-2-112-22-111-1-1-22-222-210000001-11-11-1-1100000000000000000−33−3300003−3
χ4344444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000000000
χ444444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-2-22222-20000002211-1-1-1-1000000000000000000000000000
χ4544444-4-444400-4-4-24-244-2-2400-2-2-2-22-4-40000200000000220000000000000000000000000000000
χ4644444-4-444400-4-4-2-2-2-2-2-2-2-2001111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000000000
χ4744444-4-444400-4-4-2-2-2-2-2-2-2-20011112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000000000
χ4844-4-44004-4-400004-24-22-4-4200-2-222000000004i−4i−2i−2i2i2i00000000000000000000000000000000000
χ4944-4-44004-4-400004-24-22-4-4200-2-22200000000−4i4i2i2i−2i−2i00000000000000000000000000000000000
χ5044-4-44004-4-40000-24-24-422-400-2-22200000000000000000000000000000000022−220000−2−222000000
χ5144-4-44004-4-40000-24-24-422-400-2-222000000000000000000000000000000000−2222000022−2−2000000
χ524-44-444-4-4-44004-4-242-4-4-22400-222-224-40000-200000000-220000000000000000000000000000000
χ534-44-444-4-4-44004-4-2-2222-22-2001-1-112-22−2i32i3−2i32i3-2000000001-1i3−i3i3−i3000000000000000000000000000
χ544-44-444-4-4-44004-4-2-2222-22-2001-1-112-222i3−2i32i3−2i3-2000000001-1−i3i3−i3i3000000000000000000000000000
χ554-44-44-44-4-444-4-44-2-2222-22-24-41-1-11-22-2-222-22000000-22-111-1-11000000000000000000000000000
χ564-44-44-44-4-44-44-44-2-2222-22-2-441-1-11-22-22-2-2220000002-2-11-111-1000000000000000000000000000
χ574-4-44400-44-4000044-4-44-44-4004-44-40000000000000000000000000000000000000000000000000
χ584-4-44400-44-400004-2-42-2-44200-22-22000000000023−23−232300000000000000000000000000000000000
χ594-4-44400-44-400004-2-42-2-44200-22-220000000000−232323−2300000000000000000000000000000000000
χ604-4-44400-44-40000-242-442-2-400-22-220000000000000000000000000000000000000006−6−66000000
χ614-4-44400-44-40000-242-442-2-400-22-22000000000000000000000000000000000000000−666−6000000
χ626666-366-3-3-366-3-300000000-3-3000000000000000000000000000000000002200-1-1-1-1000020-1-100
χ636666-366-3-3-366-3-300000000-3-300000000000000000000000000000000000-2-20011110000-201100
χ646666-366-3-3-3-6-6-3-30000000033000000000000000000000000000000000002200-1-1-1-10000-201100
χ656666-366-3-3-3-6-6-3-3000000003300000000000000000000000000000000000-2-2001111000020-1-100
χ666-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000−i3i3−i3i3000000−i3i300
χ676-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000i3−i3i3−i3000000i3−i300
χ686-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000−i3i3−i3i3000000i3−i300
χ696-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000i3−i3i3−i3000000−i3i300
χ7088-8-88008-8-80000-4-4-4-444440022-2-20000000000000000000000000000000000000000000000000
χ718-8-88800-88-80000-4-444-44-44002-22-20000000000000000000000000000000000000000000000000
χ7212121212-6-12-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-600-6660000000000000000000000000000000000000000000000000−2i22i200i2i2−i2−i20000000000
χ741212-12-12-600-66600000000000000000000000000000000000000000000000002i2−2i200−i2−i2i2i20000000000
χ7512-1212-12-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-6006-66000000000000000000000000000000000000000000000000000006−6−660000000000
χ7712-12-1212-6006-6600000000000000000000000000000000000000000000000000000−666−60000000000

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