Finite Group Databasebeta

← Group #13181826

Character table — Group #13181826

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size134489121216161616275454545472134489121216161616275454545472134489121216161616275454545472134489121216161616275454545472
order123332663333244446226662666666244446226662666666244446226662666666244446
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-11
χ311111-1111111-1i−ii−i-111111-1111111-1i−ii−i-111111-1111111-1i−ii−i-111111-1111111-1i−ii−i-1
χ411111-1111111-1−ii−ii-111111-1111111-1−ii−ii-111111-1111111-1−ii−ii-111111-1111111-1−ii−ii-1
χ52222-1222-1-1-1-120000-12222-1222-1-1-1-120000-12222-1222-1-1-1-120000-12222-1222-1-1-1-120000-1
χ62222-1-222-1-1-1-1-2000012222-1-222-1-1-1-1-2000012222-1-222-1-1-1-1-2000012222-1-222-1-1-1-1-200001
χ73-13303-1-10000-111-1-103-13303-1-10000-111-1-103-13303-1-10000-111-1-103-13303-1-10000-111-1-10
χ83-13303-1-10000-1-1-11103-13303-1-10000-1-1-11103-13303-1-10000-1-1-11103-13303-1-10000-1-1-1110
χ93-1330-3-1-100001i−i−ii03-1330-3-1-100001i−i−ii03-1330-3-1-100001i−i−ii03-1330-3-1-100001i−i−ii0
χ103-1330-3-1-100001−iii−i03-1330-3-1-100001−iii−i03-1330-3-1-100001−iii−i03-1330-3-1-100001−iii−i0
χ11441-2401-211-2-2000000441-2401-211-2-2000000441-2401-211-2-2000000441-2401-211-2-2000000
χ12441-2-201-2−1−3i32−1+3i3211000000441-2-201-2−1−3i32−1+3i3211000000441-2-201-2−1−3i32−1+3i3211000000441-2-201-2−1−3i32−1+3i3211000000
χ13441-2-201-2−1+3i32−1−3i3211000000441-2-201-2−1+3i32−1−3i3211000000441-2-201-2−1+3i32−1−3i3211000000441-2-201-2−1+3i32−1−3i3211000000
χ1444-2140-21-2-21100000044-2140-21-2-21100000044-2140-21-2-21100000044-2140-21-2-211000000
χ1544-21-20-2111−1−3i32−1+3i3200000044-21-20-2111−1−3i32−1+3i3200000044-21-20-2111−1−3i32−1+3i3200000044-21-20-2111−1−3i32−1+3i32000000
χ1644-21-20-2111−1+3i32−1−3i3200000044-21-20-2111−1+3i32−1−3i3200000044-21-20-2111−1+3i32−1−3i3200000044-21-20-2111−1+3i32−1−3i32000000
χ1712-43-600-12000000000012-43-600-12000000000012-43-600-12000000000012-43-600-120000000000
χ1812-4-63002-1000000000012-4-63002-1000000000012-4-63002-1000000000012-4-63002-10000000000
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ2111111-1111111-1i−ii−i-1-1-1-1-1-11-1-1-1-1-1-11−ii−ii111111-1111111-1i−ii−i-1-1-1-1-1-11-1-1-1-1-1-11−ii−ii1
χ2211111-1111111-1−ii−ii-1-1-1-1-1-11-1-1-1-1-1-11i−ii−i111111-1111111-1−ii−ii-1-1-1-1-1-11-1-1-1-1-1-11i−ii−i1
χ232222-1222-1-1-1-120000-1-2-2-2-21-2-2-21111-2000012222-1222-1-1-1-120000-1-2-2-2-21-2-2-21111-200001
χ242222-1-222-1-1-1-1-200001-2-2-2-212-2-2111120000-12222-1-222-1-1-1-1-200001-2-2-2-212-2-2111120000-1
χ253-13303-1-10000-111-1-10-31-3-30-31100001-1-11103-13303-1-10000-111-1-10-31-3-30-31100001-1-1110
χ263-13303-1-10000-1-1-1110-31-3-30-3110000111-1-103-13303-1-10000-1-1-1110-31-3-30-3110000111-1-10
χ273-1330-3-1-100001i−i−ii0-31-3-303110000-1−iii−i03-1330-3-1-100001i−i−ii0-31-3-303110000-1−iii−i0
χ283-1330-3-1-100001−iii−i0-31-3-303110000-1i−i−ii03-1330-3-1-100001−iii−i0-31-3-303110000-1i−i−ii0
χ29441-2401-211-2-2000000-4-4-12-40-12-1-122000000441-2401-211-2-2000000-4-4-12-40-12-1-122000000
χ30441-2-201-2−1−3i32−1+3i3211000000-4-4-1220-121+3i321−3i32-1-1000000441-2-201-2−1−3i32−1+3i3211000000-4-4-1220-121+3i321−3i32-1-1000000
χ31441-2-201-2−1+3i32−1−3i3211000000-4-4-1220-121−3i321+3i32-1-1000000441-2-201-2−1+3i32−1−3i3211000000-4-4-1220-121−3i321+3i32-1-1000000
χ3244-2140-21-2-211000000-4-42-1-402-122-1-100000044-2140-21-2-211000000-4-42-1-402-122-1-1000000
χ3344-21-20-2111−1−3i32−1+3i32000000-4-42-1202-1-1-11+3i321−3i3200000044-21-20-2111−1−3i32−1+3i32000000-4-42-1202-1-1-11+3i321−3i32000000
χ3444-21-20-2111−1+3i32−1−3i32000000-4-42-1202-1-1-11−3i321+3i3200000044-21-20-2111−1+3i32−1−3i32000000-4-42-1202-1-1-11−3i321+3i32000000
χ3512-43-600-120000000000-124-36001-2000000000012-43-600-120000000000-124-36001-20000000000
χ3612-4-63002-10000000000-1246-300-21000000000012-4-63002-10000000000-1246-300-210000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ3911111-1111111-1i−ii−i-111111-1111111-1i−ii−i-1-1-1-1-1-11-1-1-1-1-1-11−ii−ii1-1-1-1-1-11-1-1-1-1-1-11−ii−ii1
χ4011111-1111111-1−ii−ii-111111-1111111-1−ii−ii-1-1-1-1-1-11-1-1-1-1-1-11i−ii−i1-1-1-1-1-11-1-1-1-1-1-11i−ii−i1
χ412222-1222-1-1-1-120000-12222-1222-1-1-1-120000-1-2-2-2-21-2-2-21111-200001-2-2-2-21-2-2-21111-200001
χ422222-1-222-1-1-1-1-2000012222-1-222-1-1-1-1-200001-2-2-2-212-2-2111120000-1-2-2-2-212-2-2111120000-1
χ433-13303-1-10000-111-1-103-13303-1-10000-111-1-10-31-3-30-31100001-1-1110-31-3-30-31100001-1-1110
χ443-13303-1-10000-1-1-11103-13303-1-10000-1-1-1110-31-3-30-3110000111-1-10-31-3-30-3110000111-1-10
χ453-1330-3-1-100001i−i−ii03-1330-3-1-100001i−i−ii0-31-3-303110000-1−iii−i0-31-3-303110000-1−iii−i0
χ463-1330-3-1-100001−iii−i03-1330-3-1-100001−iii−i0-31-3-303110000-1i−i−ii0-31-3-303110000-1i−i−ii0
χ47441-2401-211-2-2000000441-2401-211-2-2000000-4-4-12-40-12-1-122000000-4-4-12-40-12-1-122000000
χ48441-2-201-2−1−3i32−1+3i3211000000441-2-201-2−1−3i32−1+3i3211000000-4-4-1220-121+3i321−3i32-1-1000000-4-4-1220-121+3i321−3i32-1-1000000
χ49441-2-201-2−1+3i32−1−3i3211000000441-2-201-2−1+3i32−1−3i3211000000-4-4-1220-121−3i321+3i32-1-1000000-4-4-1220-121−3i321+3i32-1-1000000
χ5044-2140-21-2-21100000044-2140-21-2-211000000-4-42-1-402-122-1-1000000-4-42-1-402-122-1-1000000
χ5144-21-20-2111−1−3i32−1+3i3200000044-21-20-2111−1−3i32−1+3i32000000-4-42-1202-1-1-11+3i321−3i32000000-4-42-1202-1-1-11+3i321−3i32000000
χ5244-21-20-2111−1+3i32−1−3i3200000044-21-20-2111−1+3i32−1−3i32000000-4-42-1202-1-1-11−3i321+3i32000000-4-42-1202-1-1-11−3i321+3i32000000
χ5312-43-600-12000000000012-43-600-120000000000-124-36001-20000000000-124-36001-20000000000
χ5412-4-63002-1000000000012-4-63002-10000000000-1246-300-210000000000-1246-300-210000000000
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ561111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111111-1-1-1-11
χ5711111-1111111-1i−ii−i-1-1-1-1-1-11-1-1-1-1-1-11−ii−ii1-1-1-1-1-11-1-1-1-1-1-11−ii−ii111111-1111111-1i−ii−i-1
χ5811111-1111111-1−ii−ii-1-1-1-1-1-11-1-1-1-1-1-11i−ii−i1-1-1-1-1-11-1-1-1-1-1-11i−ii−i111111-1111111-1−ii−ii-1
χ592222-1222-1-1-1-120000-1-2-2-2-21-2-2-21111-200001-2-2-2-21-2-2-21111-2000012222-1222-1-1-1-120000-1
χ602222-1-222-1-1-1-1-200001-2-2-2-212-2-2111120000-1-2-2-2-212-2-2111120000-12222-1-222-1-1-1-1-200001
χ613-13303-1-10000-111-1-10-31-3-30-31100001-1-1110-31-3-30-31100001-1-11103-13303-1-10000-111-1-10
χ623-13303-1-10000-1-1-1110-31-3-30-3110000111-1-10-31-3-30-3110000111-1-103-13303-1-10000-1-1-1110
χ633-1330-3-1-100001i−i−ii0-31-3-303110000-1−iii−i0-31-3-303110000-1−iii−i03-1330-3-1-100001i−i−ii0
χ643-1330-3-1-100001−iii−i0-31-3-303110000-1i−i−ii0-31-3-303110000-1i−i−ii03-1330-3-1-100001−iii−i0
χ65441-2401-211-2-2000000-4-4-12-40-12-1-122000000-4-4-12-40-12-1-122000000441-2401-211-2-2000000
χ66441-2-201-2−1−3i32−1+3i3211000000-4-4-1220-121+3i321−3i32-1-1000000-4-4-1220-121+3i321−3i32-1-1000000441-2-201-2−1−3i32−1+3i3211000000
χ67441-2-201-2−1+3i32−1−3i3211000000-4-4-1220-121−3i321+3i32-1-1000000-4-4-1220-121−3i321+3i32-1-1000000441-2-201-2−1+3i32−1−3i3211000000
χ6844-2140-21-2-211000000-4-42-1-402-122-1-1000000-4-42-1-402-122-1-100000044-2140-21-2-211000000
χ6944-21-20-2111−1−3i32−1+3i32000000-4-42-1202-1-1-11+3i321−3i32000000-4-42-1202-1-1-11+3i321−3i3200000044-21-20-2111−1−3i32−1+3i32000000
χ7044-21-20-2111−1+3i32−1−3i32000000-4-42-1202-1-1-11−3i321+3i32000000-4-42-1202-1-1-11−3i321+3i3200000044-21-20-2111−1+3i32−1−3i32000000
χ7112-43-600-120000000000-124-36001-20000000000-124-36001-2000000000012-43-600-120000000000
χ7212-4-63002-10000000000-1246-300-210000000000-1246-300-21000000000012-4-63002-10000000000

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