Finite Group Databasebeta

← Group #14301362

Character table — Group #14301362

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444445588888888881010101010121216161616161616162020202020202024404040404040404040404040404848484860606060606060606060120
order12234465610121222266101520203030302446624101030303030606044446121282668812121212242424241020404024444444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111111-1-1111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111111111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ511111111111111-1-1-111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1
χ611111111111111-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1
χ711111111111111-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111
χ811111111111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11
χ9111111111111-1-11111111111-1-1-1-1-11111111111i−ii−i-1-1-11-1-1-1i−iii−i−iii−i−i1111-1-1ii−i−iii−i−i-1
χ10111111111111-1-11111111111-1-1-1-1-11111111111−ii−ii-1-1-11-1-1-1−ii−i−iii−i−iii1111-1-1−i−iii−i−iii-1
χ11111111111111-1-11111111111-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1i−iii−i−iii−i−i-1-1-1-111−i−iii−i−iii1
χ12111111111111-1-11111111111-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1−ii−i−iii−i−iii-1-1-1-111ii−i−iii−i−i1
χ13111111111111-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-111i−ii−i-1-1-1-1111−iiii−i−i−i−iii11-1-1-1-1ii−i−i−i−iii1
χ14111111111111-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-111−ii−ii-1-1-1-1111i−i−i−iiiii−i−i11-1-1-1-1−i−iiiii−i−i1
χ15111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i-1-1-11111−iiii−i−i−i−iii-1-11111−i−iiiii−i−i-1
χ16111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−ii-1-1-11111i−i−i−iiiii−i−i-1-11111ii−i−i−i−iii-1
χ172222-2-22222-2-22200022-2-22222-2-22200000000-2-200002-2-2000000000000000000002-22-200000
χ182222-2-22222-2-22200022-2-22222-2-22200000000-2-200002-2-200000000000000000000-22-2200000
χ192222-2-22222-2-2-2-200022-2-2222-222-2-200000000-2-20000-222000000000000000000002i−2i−2i2i00000
χ202222-2-22222-2-2-2-200022-2-2222-222-2-200000000-2-20000-22200000000000000000000−2i2i2i−2i00000
χ21222-122-12-12-1-1222-1-12-122-1-1-1222-1-10022-1-1-1-1-1-12222-1-1-102-1-122-1-1-1-1-1-1-1-1000000000000000
χ22222-122-12-12-1-1222-1-12-122-1-1-1222-1-10022-1-1-1-1-1-1-2-2-2-2-1-1-102-1-1-2-211111111000000000000000
χ23222-122-12-12-1-122-2112-122-1-1-1222-1-100-2-21111-1-12222-1-1-10-211-2-2-1-1-1-11111000000000000000
χ24222-122-12-12-1-122-2112-122-1-1-1222-1-100-2-21111-1-1-2-2-2-2-1-1-10-211221111-1-1-1-1000000000000000
χ25222-122-12-12-1-1-2-22-1-12-122-1-1-1-2-2-2110022-1-1-1-1-1-12i−2i2i−2i1110-2112i−2i−i−iii−i−iii000000000000000
χ26222-122-12-12-1-1-2-22-1-12-122-1-1-1-2-2-2110022-1-1-1-1-1-1−2i2i−2i2i1110-211−2i2iii−i−iii−i−i000000000000000
χ27222-122-12-12-1-1-2-2-2112-122-1-1-1-2-2-21100-2-21111-1-12i−2i2i−2i11102-1-1−2i2i−i−iiiii−i−i000000000000000
χ28222-122-12-12-1-1-2-2-2112-122-1-1-1-2-2-21100-2-21111-1-1−2i2i−2i2i11102-1-12i−2iii−i−i−i−iii000000000000000
χ2922-222-222-222-222000-222-2-2-22-2-2222000000002-222-2-2-2-220000002-22-20000000000000000000
χ3022-222-222-222-222000-222-2-2-22-2-2222000000002-2-2-222-2-22000000-22-220000000000000000000
χ3122-222-222-222-2-2-2000-222-2-2-2222-2-2-2000000002-22i−2i−2i2i22-20000002i−2i−2i2i0000000000000000000
χ3222-222-222-222-2-2-2000-222-2-2-2222-2-2-2000000002-2−2i2i2i−2i22-2000000−2i2i2i−2i0000000000000000000
χ3322-22-2222-22-2222000-22-22-2-22-22-2222-2000000-220000-22-2000000000000002-2002-2000000000
χ3422-22-2222-22-2222000-22-22-2-22-22-222-22000000-220000-22-200000000000000-2200-22000000000
χ3522-22-2222-22-22-2-2000-22-22-2-222-22-2-22-2000000-2200002-22000000000000002-200-22000000000
χ3622-22-2222-22-22-2-2000-22-22-2-222-22-2-2-22000000-2200002-2200000000000000-22002-2000000000
χ3722-2-12-2-1212-11220−i3i3-2-12-211-1-2-22-1-10000−i3−i3i3i3-1122-2-211-100−i3i300-11-11−i3i3−i3i3000000000000000
χ3822-2-12-2-1212-11220−i3i3-2-12-211-1-2-22-1-10000−i3−i3i3i3-11-2-22211-100−i3i3001-11-1i3−i3i3−i3000000000000000
χ3922-2-12-2-1212-11220i3−i3-2-12-211-1-2-22-1-10000i3i3−i3−i3-1122-2-211-100i3−i300-11-11i3−i3i3−i3000000000000000
χ4022-2-12-2-1212-11220i3−i3-2-12-211-1-2-22-1-10000i3i3−i3−i3-11-2-22211-100i3−i3001-11-1−i3i3−i3i3000000000000000
χ4122-2-12-2-1212-11-2-20−i3i3-2-12-211-122-2110000−i3−i3i3i3-112i−2i−2i2i-1-1100i3−i300−iii−i3−3−33000000000000000
χ4222-2-12-2-1212-11-2-20−i3i3-2-12-211-122-2110000−i3−i3i3i3-11−2i2i2i−2i-1-1100i3−i300i−i−ii−333−3000000000000000
χ4322-2-12-2-1212-11-2-20i3−i3-2-12-211-122-2110000i3i3−i3−i3-112i−2i−2i2i-1-1100−i3i300−iii−i−333−3000000000000000
χ4422-2-12-2-1212-11-2-20i3−i3-2-12-211-122-2110000i3i3−i3−i3-11−2i2i2i−2i-1-1100−i3i300i−i−ii3−3−33000000000000000
χ454444444-14-14400444-1-1-1-1-1-1-10000044-1-1-1-1-1-1-1-1000000040000000000000-1-1-1-100000000000
χ464444444-14-14400444-1-1-1-1-1-1-100000-4-4-1-1-1-1-1-1-1-10000000-40000000000000111100000000000
χ474444444-14-14400-4-4-4-1-1-1-1-1-1-10000044111111-1-10000000-40000000000000-1-11100000000000
χ484444444-14-14400-4-4-4-1-1-1-1-1-1-100000-4-4111111-1-100000004000000000000011-1-100000000000
χ49444-2-4-4-24-2422440004-2-4-4-2-2-24-4-4-2-200000000220000-22200000000000000000000000000000
χ50444-2-4-4-24-2422-4-40004-2-4-4-2-2-2-44422000000002200002-2-200000000000000000000000000000
χ5144-44-444-1-4-1-44000001-11-111-1000004-4−55−55−551-1000000000000000000000-11−5500000000000
χ5244-44-444-1-4-1-44000001-11-111-1000004-45−55−55−51-1000000000000000000000-115−500000000000
χ5344-44-444-1-4-1-44000001-11-111-100000-44−55−55−551-10000000000000000000001-15−500000000000
χ5444-44-444-1-4-1-44000001-11-111-100000-445−55−55−51-10000000000000000000001-1−5500000000000
χ5544-4-2-44-24242-244000-4-2-4422-2-44-4-2-2000000002-200002-2200000000000000000000000000000
χ5644-4-2-44-24242-2-4-4000-4-2-4422-24-4422000000002-20000-22-200000000000000000000000000000
χ574-40400-440-4004-4000040000-40004-4000000000000000000000000000000000000000002i−2i2i−2i0
χ584-40400-440-4004-4000040000-40004-400000000000000000000000000000000000000000−2i2i−2i2i0
χ594-40400-440-400-44000040000-4000-44000000000000000000000000000000000000000002-2-220
χ604-40400-440-400-44000040000-4000-4400000000000000000000000000000000000000000-222-20
χ618888-8-88-28-2-8-800000-2-222-2-2-2000000000000022000000000000000000000000000000000000
χ62888-488-4-2-4-2-4-4008-4-4-21-2-21110000000-2-2111111000000000000000000000000000000000000
χ63888-488-4-2-4-2-4-400-844-21-2-2111000000022-1-1-1-111000000000000000000000000000000000000
χ64888-4-8-8-4-2-4-24400000-2122111000000000−i15i15i15−i15-1-1000000000000000000000000000000000000
χ65888-4-8-8-4-2-4-24400000-2122111000000000i15−i15−i15i15-1-1000000000000000000000000000000000000
χ6688-888-88-2-8-28-8000002-2-2222-20000000000000-22000000000000000000000000000000000000
χ6788-8-48-8-4-24-2-44000−4i34i321-22-1-11000000000i3i3−i3−i31-1000000000000000000000000000000000000
χ6888-8-48-8-4-24-2-440004i3−4i321-22-1-11000000000−i3−i3i3i31-1000000000000000000000000000000000000
χ6988-8-4-88-4-24-24-400000212-2-1-110000000−25255−55−5-11000000000000000000000000000000000000
χ7088-8-4-88-4-24-24-400000212-2-1-11000000025−25−55−55-11000000000000000000000000000000000000
χ718-80-400480-8008-80000-400004000-440000000000000000000000000000000000000000000000
χ728-80-400480-800-880000-4000040004-40000000000000000000000000000000000000000000000
χ7316-1601600-16-40400000000-400004000000000000000000000000000000000000000000000000000
χ7416-160-8008-40400000000200−2i152i15-2000000000000000000000000000000000000000000000000000
χ7516-160-8008-404000000002002i15−2i15-2000000000000000000000000000000000000000000000000000

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