Finite Group Databasebeta

← Group #13048718

Character table — Group #13048718

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222446666666699121212121212121218181818181818182727272754545454112222446666666699121212121212121218181818181818182727272754545454
order12336636333366664433336666121212121212121222446612122266666666666666446666666612121212121212122244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i1-1i−i1-1i−i1-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i1-1i−i1-1i−i
χ61-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i-11−ii-11−ii1-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i-11−ii-11−ii
χ71-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii1-1−ii1-1−ii1-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii1-1−ii1-1−ii
χ81-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii-11i−i-11i−i1-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii-11i−i-11i−i
χ922222222222-1222-100-1-1-1-1-1-1-1-100000000002200-1-122222222222-1222-100-1-1-1-1-1-1-1-100000000002200-1-1
χ1022222222222-1222-100-1-1-1-1-1-1-1-10000000000-2-2001122222222222-1222-100-1-1-1-1-1-1-1-10000000000-2-20011
χ1122222222-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-10000000022222222-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-100000000
χ1222222222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-2-21111110000000022222222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-2-211111100000000
χ1322-122-1-1-12-1-122-1-1222-12-1-1-12-1-1-1-12-1-12-1-10000000022-122-1-1-12-1-122-1-1222-12-1-1-12-1-1-1-12-1-12-1-100000000
χ1422-122-1-1-12-1-122-1-12-2-2-12-1-1-12-1-111-211-2110000000022-122-1-1-12-1-122-1-12-2-2-12-1-1-12-1-111-211-21100000000
χ1522-122-1-1-1-12-12-12-1222-1-12-1-1-12-1-1-1-12-1-12-10000000022-122-1-1-1-12-12-12-1222-1-12-1-1-12-1-1-1-12-1-12-100000000
χ1622-122-1-1-1-12-12-12-12-2-2-1-12-1-1-12-1111-211-210000000022-122-1-1-1-12-12-12-12-2-2-1-12-1-1-12-1111-211-2100000000
χ1722-122-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-1-12-1-120000000022-122-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-1-12-1-1200000000
χ1822-122-1-1-1-1-122-1-122-2-2-1-1-12-1-1-121111-211-20000000022-122-1-1-1-1-122-1-122-2-2-1-1-12-1-1-121111-211-200000000
χ192-222-2-22-2222-1-2-2-2100-1-1-1-1111100000000002i−2i00−ii2-222-2-22-2222-1-2-2-2100-1-1-1-1111100000000002i−2i00−ii
χ202-222-2-22-2222-1-2-2-2100-1-1-1-111110000000000−2i2i00i−i2-222-2-22-2222-1-2-2-2100-1-1-1-111110000000000−2i2i00i−i
χ212-222-2-22-2-1-1-12111-22i−2i2-1-1-1-21112i−2i−i−i−iiii000000002-222-2-22-2-1-1-12111-22i−2i2-1-1-1-21112i−2i−i−i−iiii00000000
χ222-222-2-22-2-1-1-12111-2−2i2i2-1-1-1-2111−2i2iiii−i−i−i000000002-222-2-22-2-1-1-12111-2−2i2i2-1-1-1-2111−2i2iiii−i−i−i00000000
χ232-2-12-21-112-1-12-211-22i−2i-12-1-11-211−ii2i−i−i−2iii000000002-2-12-21-112-1-12-211-22i−2i-12-1-11-211−ii2i−i−i−2iii00000000
χ242-2-12-21-112-1-12-211-2−2i2i-12-1-11-211i−i−2iii2i−i−i000000002-2-12-21-112-1-12-211-2−2i2i-12-1-11-211i−i−2iii2i−i−i00000000
χ252-2-12-21-11-12-121-21-22i−2i-1-12-111-21−ii−i2i−ii−2ii000000002-2-12-21-11-12-121-21-22i−2i-1-12-111-21−ii−i2i−ii−2ii00000000
χ262-2-12-21-11-12-121-21-2−2i2i-1-12-111-21i−ii−2ii−i2i−i000000002-2-12-21-11-12-121-21-2−2i2i-1-12-111-21i−ii−2ii−i2i−i00000000
χ272-2-12-21-11-1-12211-2-22i−2i-1-1-12111-2−ii−i−i2iii−2i000000002-2-12-21-11-1-12211-2-22i−2i-1-1-12111-2−ii−i−i2iii−2i00000000
χ282-2-12-21-11-1-12211-2-2−2i2i-1-1-12111-2i−iii−2i−i−i2i000000002-2-12-21-11-1-12211-2-2−2i2i-1-1-12111-2i−iii−2i−i−i2i00000000
χ2944444444-2-2-2-2-2-2-2-200-2111-2111000000000000000044444444-2-2-2-2-2-2-2-200-2111-21110000000000000000
χ3044-244-2-2-24-2-2-24-2-2-2001-2111-211000000000000000044-244-2-2-24-2-2-24-2-2-2001-2111-2110000000000000000
χ3144-244-2-2-2-24-2-2-24-2-20011-2111-21000000000000000044-244-2-2-2-24-2-2-24-2-20011-2111-210000000000000000
χ3244-244-2-2-2-2-24-2-2-24-200111-2111-2000000000000000044-244-2-2-2-2-24-2-2-24-200111-2111-20000000000000000
χ334-444-4-44-4-2-2-2-2222200-21112-1-1-100000000000000004-444-4-44-4-2-2-2-2222200-21112-1-1-10000000000000000
χ344-4-24-42-224-2-2-2-4222001-211-12-1-100000000000000004-4-24-42-224-2-2-2-4222001-211-12-1-10000000000000000
χ354-4-24-42-22-24-2-22-4220011-21-1-12-100000000000000004-4-24-42-22-24-2-22-4220011-21-1-12-10000000000000000
χ364-4-24-42-22-2-24-222-4200111-2-1-1-1200000000000000004-4-24-42-22-2-24-222-4200111-2-1-1-120000000000000000
χ37666-3-36-3-3000000000000000000000000002200-1-100666-3-36-3-3000000000000000000000000002200-1-100
χ38666-3-36-3-300000000000000000000000000-2-2001100666-3-36-3-300000000000000000000000000-2-2001100
χ396-66-33-6-33000000000000000000000000002-200-11006-66-33-6-33000000000000000000000000002-200-1100
χ406-66-33-6-3300000000000000000000000000-22001-1006-66-33-6-3300000000000000000000000000-22001-100
χ411212-6-6-6-63300000000000000000000000000000000001212-6-6-6-6330000000000000000000000000000000000
χ4212-12-6-6663-3000000000000000000000000000000000012-12-6-6663-30000000000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ451111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ461111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ471-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i1-1i−i1-1i−i-11-1-111-11-1-1-1-11111−ii-1-1-1-11111−ii−i−i−iiii-11−ii-11−ii
χ481-111-1-11-11111-1-1-1-1i−i1111-1-1-1-1i−iiii−i−i−i-11−ii-11−ii-11-1-111-11-1-1-1-11111−ii-1-1-1-11111−ii−i−i−iiii1-1i−i1-1i−i
χ491-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii1-1−ii1-1−ii-11-1-111-11-1-1-1-11111i−i-1-1-1-11111i−iiii−i−i−i-11i−i-11i−i
χ501-111-1-11-11111-1-1-1-1−ii1111-1-1-1-1−ii−i−i−iiii-11i−i-11i−i-11-1-111-11-1-1-1-11111i−i-1-1-1-11111i−iiii−i−i−i1-1−ii1-1−ii
χ5122222222222-1222-100-1-1-1-1-1-1-1-100000000002200-1-1-2-2-2-2-2-2-2-2-2-2-21-2-2-2100111111110000000000-2-20011
χ5222222222222-1222-100-1-1-1-1-1-1-1-10000000000-2-20011-2-2-2-2-2-2-2-2-2-2-21-2-2-21001111111100000000002200-1-1
χ5322222222-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2111-2111-2-2-2-2111-2111-2-211111100000000
χ5422222222-1-1-12-1-1-12-2-22-1-1-12-1-1-1-2-211111100000000-2-2-2-2-2-2-2-2111-2111-222-2111-211122-1-1-1-1-1-100000000
χ5522-122-1-1-12-1-122-1-1222-12-1-1-12-1-1-1-12-1-12-1-100000000-2-21-2-2111-211-2-211-2-2-21-2111-21111-211-21100000000
χ5622-122-1-1-12-1-122-1-12-2-2-12-1-1-12-1-111-211-21100000000-2-21-2-2111-211-2-211-2221-2111-211-1-12-1-12-1-100000000
χ5722-122-1-1-1-12-12-12-1222-1-12-1-1-12-1-1-1-12-1-12-100000000-2-21-2-21111-21-21-21-2-2-211-2111-21111-211-2100000000
χ5822-122-1-1-1-12-12-12-12-2-2-1-12-1-1-12-1111-211-2100000000-2-21-2-21111-21-21-21-22211-2111-21-1-1-12-1-12-100000000
χ5922-122-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-1-12-1-1200000000-2-21-2-211111-2-211-2-2-2-2111-2111-21111-211-200000000
χ6022-122-1-1-1-1-122-1-122-2-2-1-1-12-1-1-121111-211-200000000-2-21-2-211111-2-211-2-222111-2111-2-1-1-1-12-1-1200000000
χ612-222-2-22-2222-1-2-2-2100-1-1-1-1111100000000002i−2i00−ii-22-2-222-22-2-2-21222-1001111-1-1-1-10000000000−2i2i00i−i
χ622-222-2-22-2222-1-2-2-2100-1-1-1-111110000000000−2i2i00i−i-22-2-222-22-2-2-21222-1001111-1-1-1-100000000002i−2i00−ii
χ632-222-2-22-2-1-1-12111-22i−2i2-1-1-1-21112i−2i−i−i−iiii00000000-22-2-222-22111-2-1-1-12−2i2i-21112-1-1-1−2i2iiii−i−i−i00000000
χ642-222-2-22-2-1-1-12111-2−2i2i2-1-1-1-2111−2i2iiii−i−i−i00000000-22-2-222-22111-2-1-1-122i−2i-21112-1-1-12i−2i−i−i−iiii00000000
χ652-2-12-21-112-1-12-211-22i−2i-12-1-11-211−ii2i−i−i−2iii00000000-221-22-11-1-211-22-1-12−2i2i1-211-12-1-1i−i−2iii2i−i−i00000000
χ662-2-12-21-112-1-12-211-2−2i2i-12-1-11-211i−i−2iii2i−i−i00000000-221-22-11-1-211-22-1-122i−2i1-211-12-1-1−ii2i−i−i−2iii00000000
χ672-2-12-21-11-12-121-21-22i−2i-1-12-111-21−ii−i2i−ii−2ii00000000-221-22-11-11-21-2-12-12−2i2i11-21-1-12-1i−ii−2ii−i2i−i00000000
χ682-2-12-21-11-12-121-21-2−2i2i-1-12-111-21i−ii−2ii−i2i−i00000000-221-22-11-11-21-2-12-122i−2i11-21-1-12-1−ii−i2i−ii−2ii00000000
χ692-2-12-21-11-1-12211-2-22i−2i-1-1-12111-2−ii−i−i2iii−2i00000000-221-22-11-111-2-2-1-122−2i2i111-2-1-1-12i−iii−2i−i−i2i00000000
χ702-2-12-21-11-1-12211-2-2−2i2i-1-1-12111-2i−iii−2i−i−i2i00000000-221-22-11-111-2-2-1-1222i−2i111-2-1-1-12−ii−i−i2iii−2i00000000
χ7144444444-2-2-2-2-2-2-2-200-2111-21110000000000000000-4-4-4-4-4-4-4-422222222002-1-1-12-1-1-10000000000000000
χ7244-244-2-2-24-2-2-24-2-2-2001-2111-2110000000000000000-4-42-4-4222-4222-422200-12-1-1-12-1-10000000000000000
χ7344-244-2-2-2-24-2-2-24-2-20011-2111-210000000000000000-4-42-4-42222-4222-42200-1-12-1-1-12-10000000000000000
χ7444-244-2-2-2-2-24-2-2-24-200111-2111-20000000000000000-4-42-4-422222-4222-4200-1-1-12-1-1-120000000000000000
χ754-444-4-44-4-2-2-2-2222200-21112-1-1-10000000000000000-44-4-444-442222-2-2-2-2002-1-1-1-21110000000000000000
χ764-4-24-42-224-2-2-2-4222001-211-12-1-10000000000000000-442-44-22-2-42224-2-2-200-12-1-11-2110000000000000000
χ774-4-24-42-22-24-2-22-4220011-21-1-12-10000000000000000-442-44-22-22-422-24-2-200-1-12-111-210000000000000000
χ784-4-24-42-22-2-24-222-4200111-2-1-1-120000000000000000-442-44-22-222-42-2-24-200-1-1-12111-20000000000000000
χ79666-3-36-3-3000000000000000000000000002200-1-100-6-6-633-63300000000000000000000000000-2-2001100
χ80666-3-36-3-300000000000000000000000000-2-2001100-6-6-633-633000000000000000000000000002200-1-100
χ816-66-33-6-33000000000000000000000000002-200-1100-66-63-363-300000000000000000000000000-22001-100
χ826-66-33-6-3300000000000000000000000000-22001-100-66-63-363-3000000000000000000000000002-200-1100
χ831212-6-6-6-6330000000000000000000000000000000000-12-126666-3-30000000000000000000000000000000000
χ8412-12-6-6663-30000000000000000000000000000000000-121266-6-6-330000000000000000000000000000000000

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