Finite Group Databasebeta

← Group #13048778

Character table — Group #13048778

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222444466666612121212121212121212121212121212121212121218182727363636363636363654545454545454108108
order122333366666666336666333336666666666666666244466661212121224412121212612
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111
χ511-111111111-1-1-1-111-1-11111111-111111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-11
χ611-111111111-1-1-1-111-1-11111111-111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1111-1
χ711-111111111-1-1-1-111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-11-1
χ811-111111111-1-1-1-111-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-111-1-111-11
χ92222222222222222-122-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-10000000000002020000-1-1
χ102222222222222222-122-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1000000000000-20-2000011
χ11222222222222222-12-1-12-1-12-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1002200000000020-1-1-1-100
χ12222222222222222-12-1-12-1-12-1-1-12-12-1-1-1-1-122-1-1-1-1-1-100-2-2000000000-20111100
χ132222-1-1-12-1-1-12-1-1-1222222-1-12-1-12-1-12-1-1-1-1-1-122-1-1-1-122002-1-1-12-1-1-1000000000
χ142222-1-1-12-1-1-12-1-1-1222222-1-12-1-12-1-12-1-1-1-1-1-122-1-1-1-1-2-200-2111-2111000000000
χ1522-222222222-2-2-2-22-1-2-2-122-1-1-1-112-1-1-1-1-2-21111111100000000000020-20000-11
χ1622-222222222-2-2-2-22-1-2-2-122-1-1-1-112-1-1-1-1-2-211111111000000000000-20200001-1
χ1722-222222222-2-2-2-2-12112-1-12-1-1-1-2-12-1-1-111-2-21111110022000000000-20-1-11100
χ1822-222222222-2-2-2-2-12112-1-12-1-1-1-2-12-1-1-111-2-211111100-2-20000000002011-1-100
χ1922-22-1-1-12-1-1-1-211122-2-222-1-12-1-1-2-1-12-1-11111-2-211112-2002-1-1-1-2111000000000
χ2022-22-1-1-12-1-1-1-211122-2-222-1-12-1-1-2-1-12-1-11111-2-21111-2200-21112-1-1-1000000000
χ212-202222-2-2-2-200002200-2-2222220-2-2-2-2-20000000000002i−2i000000000002i−2i0000
χ222-202222-2-2-2-200002200-2-2222220-2-2-2-2-2000000000000−2i2i00000000000−2i2i0000
χ232-202222-2-2-2-20000-12−i3i3-21-12-1-1-101-2111−i3i300−i3i3−i3−i3i3i3002i−2i00000000000−ii3−300
χ242-202222-2-2-2-20000-12−i3i3-21-12-1-1-101-2111−i3i300−i3i3−i3−i3i3i300−2i2i00000000000i−i−3300
χ252-202222-2-2-2-20000-12i3−i3-21-12-1-1-101-2111i3−i300i3−i3i3i3−i3−i3002i−2i00000000000−ii−3300
χ262-202222-2-2-2-20000-12i3−i3-21-12-1-1-101-2111i3−i300i3−i3i3i3−i3−i300−2i2i00000000000i−i3−300
χ27444444444444444-2-2-2-2-2-2-2-2111-2-2-2111-2-2-2-2111111000000000000000000000
χ284444-2-2-24-2-2-24-2-2-24-244-24-21-211-2-21-211-2-211-2-21111000000000000000000000
χ294444-2-2-24-2-2-24-2-2-2-24-2-24-21-2-21141-2-21111-2-2-2-21111000000000000000000000
χ304444-2-2-24-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ314444-2-2-24-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ3244-444444444-4-4-4-4-2-222-2-2-2-21112-2-21112222-1-1-1-1-1-1000000000000000000000
χ3344-44-2-2-24-2-2-2-42224-2-4-4-24-21-2112-21-21122-1-122-1-1-1-1000000000000000000000
χ3444-44-2-2-24-2-2-2-4222-24224-21-2-211-41-2-211-1-12222-1-1-1-1000000000000000000000
χ3544-44-2-2-24-2-2-2-4222-2-222-2-2111−1−3i32−1+3i322111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000
χ3644-44-2-2-24-2-2-2-4222-2-222-2-2111−1+3i32−1−3i322111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000
χ374-404444-4-4-4-400004-2002-44-2-2-2-20-422220000000000000000000000000000000
χ384-404444-4-4-4-40000-2-2−2i32i322-2-2111022-1-1-1−2i32i300i3−i3i3i3−i3−i3000000000000000000000
χ394-404444-4-4-4-40000-2-22i3−2i322-2-2111022-1-1-12i3−2i300−i3i3−i3−i3i3i3000000000000000000000
χ404-404-2-2-2-422200004400-4-4-2-24-2-2022-4220000000000000000000000000000000
χ414-404-2-2-2-422200004-2002-4-21-21102-12-1-1003-3003-3-33000000000000000000000
χ424-404-2-2-2-422200004-2002-4-21-21102-12-1-100-3300-333-3000000000000000000000
χ434-404-2-2-2-42220000-24−2i32i3-421-2-2110-122-1-1i3−i300−2i32i3i3i3−i3−i3000000000000000000000
χ444-404-2-2-2-42220000-242i3−2i3-421-2-2110-122-1-1−i3i3002i3−2i3−i3−i3i3i3000000000000000000000
χ454-404-2-2-2-42220000-2-2−2i32i322111−1−3i32−1+3i320-1-1-11+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000
χ464-404-2-2-2-42220000-2-2−2i32i322111−1+3i32−1−3i320-1-1-11−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000
χ474-404-2-2-2-42220000-2-22i3−2i322111−1−3i32−1+3i320-1-1-11+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000
χ484-404-2-2-2-42220000-2-22i3−2i322111−1+3i32−1−3i320-1-1-11−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000
χ49666-36-3-3-36-3-3-36-3-30000000000000000000000000002200-12-1-1-12-1-1000000000
χ50666-36-3-3-36-3-3-36-3-3000000000000000000000000000-2-2001-2111-211000000000
χ51666-3-36-3-3-36-3-3-36-30000000000000000000000000002200-1-12-1-1-12-1000000000
χ52666-3-36-3-3-36-3-3-36-3000000000000000000000000000-2-20011-2111-21000000000
χ53666-3-3-36-3-3-36-3-3-360000000000000000000000000002200-1-1-12-1-1-12000000000
χ54666-3-3-36-3-3-36-3-3-36000000000000000000000000000-2-200111-2111-2000000000
χ5566-6-36-3-3-36-3-33-6330000000000000000000000000002-200-12-1-11-211000000000
χ5666-6-36-3-3-36-3-33-633000000000000000000000000000-22001-211-12-1-1000000000
χ5766-6-3-36-3-3-36-333-630000000000000000000000000002-200-1-12-111-21000000000
χ5866-6-3-36-3-3-36-333-63000000000000000000000000000-220011-21-1-12-1000000000
χ5966-6-3-3-36-3-3-36333-60000000000000000000000000002-200-1-1-12111-2000000000
χ6066-6-3-3-36-3-3-36333-6000000000000000000000000000-2200111-2-1-1-12000000000
χ6112-120-612-6-66-12660000000000000000000000000000000000000000000000000000
χ6212-120-6-612-666-1260000000000000000000000000000000000000000000000000000
χ6312-120-6-6-612666-120000000000000000000000000000000000000000000000000000

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