Finite Group Databasebeta

← Group #13048777

Character table — Group #13048777

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222666699121212121212121212121818181818181818272727275454545411222222226666991212121212121212121218181818181818182727272754545454
order12333366663366223333366666666666664444121212122266666666666622666666666666666666444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1i−ii−ii−ii−i1-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ61-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1−ii−ii−ii−ii1-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ71-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii1-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ81-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111−iii−i−iii−i1-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ922222222222-12-1002-1-1-1-12-1-1-1-100000000002200-1-122222222222-12-1002-1-1-1-12-1-1-1-100000000002200-1-1
χ1022222222222-12-1002-1-1-1-12-1-1-1-10000000000-2-2001122222222222-12-1002-1-1-1-12-1-1-1-10000000000-2-20011
χ112222222222-12-1200-12-1-1-1-12-1-1-1000000002200-1-1002222222222-12-1200-12-1-1-1-12-1-1-1000000002200-1-100
χ122222222222-12-1200-12-1-1-1-12-1-1-100000000-2-20011002222222222-12-1200-12-1-1-1-12-1-1-100000000-2-2001100
χ13222-1-1-12-1-1-1222222-1-12-1-1-1-12-1-12-1-1-12-1-1-100000000222-1-1-12-1-1-1222222-1-12-1-1-1-12-1-12-1-1-12-1-1-100000000
χ14222-1-1-12-1-1-12222-2-2-1-12-1-1-1-12-1-1-2111-211100000000222-1-1-12-1-1-12222-2-2-1-12-1-1-1-12-1-1-2111-211100000000
χ152-22222-2-2-2-22-1-21002-1-1-1-1-2111100000000002i−2i00−ii2-22222-2-2-2-22-1-21002-1-1-1-1-2111100000000002i−2i00−ii
χ162-22222-2-2-2-22-1-21002-1-1-1-1-211110000000000−2i2i00i−i2-22222-2-2-2-22-1-21002-1-1-1-1-211110000000000−2i2i00i−i
χ172-22222-2-2-2-2-121-200-12-1-1-11-2111000000002i−2i00−ii002-22222-2-2-2-2-121-200-12-1-1-11-2111000000002i−2i00−ii00
χ182-22222-2-2-2-2-121-200-12-1-1-11-211100000000−2i2i00i−i002-22222-2-2-2-2-121-200-12-1-1-11-211100000000−2i2i00i−i00
χ192-22-1-1-1-211122-2-22-2-1-12-1-111-2112-1-1-1-2111000000002-22-1-1-1-211122-2-22-2-1-12-1-111-2112-1-1-1-211100000000
χ202-22-1-1-1-211122-2-2-22-1-12-1-111-211-21112-1-1-1000000002-22-1-1-1-211122-2-2-22-1-12-1-111-211-21112-1-1-100000000
χ214444444444-2-2-2-200-2-2111-2-211100000000000000004444444444-2-2-2-200-2-2111-2-21110000000000000000
χ22444-2-2-24-2-2-24-24-200-21-211-21-2110000000000000000444-2-2-24-2-2-24-24-200-21-211-21-2110000000000000000
χ23444-2-2-24-2-2-2-24-24001-2-2111-2-2110000000000000000444-2-2-24-2-2-2-24-24001-2-2111-2-2110000000000000000
χ24444-2-2-24-2-2-2-2-2-2-200111−1−3i32−1+3i32111−1−3i32−1+3i320000000000000000444-2-2-24-2-2-2-2-2-2-200111−1−3i32−1+3i32111−1−3i32−1+3i320000000000000000
χ25444-2-2-24-2-2-2-2-2-2-200111−1+3i32−1−3i32111−1+3i32−1−3i320000000000000000444-2-2-24-2-2-2-2-2-2-200111−1+3i32−1−3i32111−1+3i32−1−3i320000000000000000
χ264-44444-4-4-4-4-2-22200-2-211122-1-1-100000000000000004-44444-4-4-4-4-2-22200-2-211122-1-1-10000000000000000
χ274-44-2-2-2-42224-2-4200-21-2112-12-1-100000000000000004-44-2-2-2-42224-2-4200-21-2112-12-1-10000000000000000
χ284-44-2-2-2-4222-242-4001-2-211-122-1-100000000000000004-44-2-2-2-4222-242-4001-2-211-122-1-10000000000000000
χ294-44-2-2-2-4222-2-22200111−1−3i32−1+3i32-1-1-11+3i321−3i3200000000000000004-44-2-2-2-4222-2-22200111−1−3i32−1+3i32-1-1-11+3i321−3i320000000000000000
χ304-44-2-2-2-4222-2-22200111−1+3i32−1−3i32-1-1-11−3i321+3i3200000000000000004-44-2-2-2-4222-2-22200111−1+3i32−1−3i32-1-1-11−3i321+3i320000000000000000
χ3166-36-3-3-36-3-30000220000000000-12-1-1-12-1-10000000066-36-3-3-36-3-30000220000000000-12-1-1-12-1-100000000
χ3266-36-3-3-36-3-30000-2-200000000001-2111-2110000000066-36-3-3-36-3-30000-2-200000000001-2111-21100000000
χ3366-3-36-3-3-36-30000220000000000-1-12-1-1-12-10000000066-3-36-3-3-36-30000220000000000-1-12-1-1-12-100000000
χ3466-3-36-3-3-36-30000-2-2000000000011-2111-210000000066-3-36-3-3-36-30000-2-2000000000011-2111-2100000000
χ3566-3-3-36-3-3-360000220000000000-1-1-12-1-1-120000000066-3-3-36-3-3-360000220000000000-1-1-12-1-1-1200000000
χ3666-3-3-36-3-3-360000-2-20000000000111-2111-20000000066-3-3-36-3-3-360000-2-20000000000111-2111-200000000
χ376-6-36-3-33-63300002-20000000000-12-1-11-211000000006-6-36-3-33-63300002-20000000000-12-1-11-21100000000
χ386-6-36-3-33-6330000-2200000000001-211-12-1-1000000006-6-36-3-33-6330000-2200000000001-211-12-1-100000000
χ396-6-3-36-333-6300002-20000000000-1-12-111-21000000006-6-3-36-333-6300002-20000000000-1-12-111-2100000000
χ406-6-3-36-333-630000-22000000000011-21-1-12-1000000006-6-3-36-333-630000-22000000000011-21-1-12-100000000
χ416-6-3-3-36333-600002-20000000000-1-1-12111-2000000006-6-3-3-36333-600002-20000000000-1-1-12111-200000000
χ426-6-3-3-36333-60000-220000000000111-2-1-1-12000000006-6-3-3-36333-60000-220000000000111-2-1-1-1200000000
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
χ4511111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ4611111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ471-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1i−ii−ii−ii−i-11-1-1-1-11111-1-111-11-1-1-1-1-111111-1-1-1-11111−ii−ii−ii−ii
χ481-11111-1-1-1-111-1-11-111111-1-1-1-1-11111-1-1-1-1−ii−ii−ii−ii-11-1-1-1-11111-1-111-11-1-1-1-1-111111-1-1-1-11111i−ii−ii−ii−i
χ491-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii-11-1-1-1-11111-1-1111-1-1-1-1-1-1111111111-1-1-1-1−iii−i−iii−i
χ501-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111−iii−i−iii−i-11-1-1-1-11111-1-1111-1-1-1-1-1-1111111111-1-1-1-1i−i−iii−i−ii
χ5122222222222-12-1002-1-1-1-12-1-1-1-100000000002200-1-1-2-2-2-2-2-2-2-2-2-2-21-2100-21111-211110000000000-2-20011
χ5222222222222-12-1002-1-1-1-12-1-1-1-10000000000-2-20011-2-2-2-2-2-2-2-2-2-2-21-2100-21111-2111100000000002200-1-1
χ532222222222-12-1200-12-1-1-1-12-1-1-1000000002200-1-100-2-2-2-2-2-2-2-2-2-21-21-2001-21111-211100000000-2-2001100
χ542222222222-12-1200-12-1-1-1-12-1-1-100000000-2-2001100-2-2-2-2-2-2-2-2-2-21-21-2001-21111-2111000000002200-1-100
χ55222-1-1-12-1-1-1222222-1-12-1-1-1-12-1-12-1-1-12-1-1-100000000-2-2-2111-2111-2-2-2-2-2-211-21111-211-2111-211100000000
χ56222-1-1-12-1-1-12222-2-2-1-12-1-1-1-12-1-1-2111-211100000000-2-2-2111-2111-2-2-2-22211-21111-2112-1-1-12-1-1-100000000
χ572-22222-2-2-2-22-1-21002-1-1-1-1-2111100000000002i−2i00−ii-22-2-2-2-22222-212-100-211112-1-1-1-10000000000−2i2i00i−i
χ582-22222-2-2-2-22-1-21002-1-1-1-1-211110000000000−2i2i00i−i-22-2-2-2-22222-212-100-211112-1-1-1-100000000002i−2i00−ii
χ592-22222-2-2-2-2-121-200-12-1-1-11-2111000000002i−2i00−ii00-22-2-2-2-222221-2-12001-2111-12-1-1-100000000−2i2i00i−i00
χ602-22222-2-2-2-2-121-200-12-1-1-11-211100000000−2i2i00i−i00-22-2-2-2-222221-2-12001-2111-12-1-1-1000000002i−2i00−ii00
χ612-22-1-1-1-211122-2-22-2-1-12-1-111-2112-1-1-1-211100000000-22-21112-1-1-1-2-222-2211-211-1-12-1-1-21112-1-1-100000000
χ622-22-1-1-1-211122-2-2-22-1-12-1-111-211-21112-1-1-100000000-22-21112-1-1-1-2-2222-211-211-1-12-1-12-1-1-1-211100000000
χ634444444444-2-2-2-200-2-2111-2-21110000000000000000-4-4-4-4-4-4-4-4-4-422220022-1-1-122-1-1-10000000000000000
χ64444-2-2-24-2-2-24-24-200-21-211-21-2110000000000000000-4-4-4222-4222-42-42002-12-1-12-12-1-10000000000000000
χ65444-2-2-24-2-2-2-24-24001-2-2111-2-2110000000000000000-4-4-4222-42222-42-400-122-1-1-122-1-10000000000000000
χ66444-2-2-24-2-2-2-2-2-2-200111−1−3i32−1+3i32111−1−3i32−1+3i320000000000000000-4-4-4222-4222222200-1-1-11+3i321−3i32-1-1-11+3i321−3i320000000000000000
χ67444-2-2-24-2-2-2-2-2-2-200111−1+3i32−1−3i32111−1+3i32−1−3i320000000000000000-4-4-4222-4222222200-1-1-11−3i321+3i32-1-1-11−3i321+3i320000000000000000
χ684-44444-4-4-4-4-2-22200-2-211122-1-1-10000000000000000-44-4-4-4-4444422-2-20022-1-1-1-2-21110000000000000000
χ694-44-2-2-2-42224-2-4200-21-2112-12-1-10000000000000000-44-42224-2-2-2-424-2002-12-1-1-21-2110000000000000000
χ704-44-2-2-2-4222-242-4001-2-211-122-1-10000000000000000-44-42224-2-2-22-4-2400-122-1-11-2-2110000000000000000
χ714-44-2-2-2-4222-2-22200111−1−3i32−1+3i32-1-1-11+3i321−3i320000000000000000-44-42224-2-2-222-2-200-1-1-11+3i321−3i32111−1−3i32−1+3i320000000000000000
χ724-44-2-2-2-4222-2-22200111−1+3i32−1−3i32-1-1-11−3i321+3i320000000000000000-44-42224-2-2-222-2-200-1-1-11−3i321+3i32111−1+3i32−1−3i320000000000000000
χ7366-36-3-3-36-3-30000220000000000-12-1-1-12-1-100000000-6-63-6333-6330000-2-200000000001-2111-21100000000
χ7466-36-3-3-36-3-30000-2-200000000001-2111-21100000000-6-63-6333-6330000220000000000-12-1-1-12-1-100000000
χ7566-3-36-3-3-36-30000220000000000-1-12-1-1-12-100000000-6-633-6333-630000-2-2000000000011-2111-2100000000
χ7666-3-36-3-3-36-30000-2-2000000000011-2111-2100000000-6-633-6333-630000220000000000-1-12-1-1-12-100000000
χ7766-3-3-36-3-3-360000220000000000-1-1-12-1-1-1200000000-6-6333-6333-60000-2-20000000000111-2111-200000000
χ7866-3-3-36-3-3-360000-2-20000000000111-2111-200000000-6-6333-6333-60000220000000000-1-1-12-1-1-1200000000
χ796-6-36-3-33-63300002-20000000000-12-1-11-21100000000-663-633-36-3-30000-2200000000001-211-12-1-100000000
χ806-6-36-3-33-6330000-2200000000001-211-12-1-100000000-663-633-36-3-300002-20000000000-12-1-11-21100000000
χ816-6-3-36-333-6300002-20000000000-1-12-111-2100000000-6633-63-3-36-30000-22000000000011-21-1-12-100000000
χ826-6-3-36-333-630000-22000000000011-21-1-12-100000000-6633-63-3-36-300002-20000000000-1-12-111-2100000000
χ836-6-3-3-36333-600002-20000000000-1-1-12111-200000000-66333-6-3-3-360000-220000000000111-2-1-1-1200000000
χ846-6-3-3-36333-60000-220000000000111-2-1-1-1200000000-66333-6-3-3-3600002-20000000000-1-1-12111-200000000

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