Finite Group Databasebeta

← Group #11779286

Character table — Group #11779286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order122244334466666612121212121212124412121212121244444881212121212122424242448888266288
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111
χ511111111-1-11111111-1-1-1-1111111111-1-111-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-11111111-1-1-1-1111111111-1-111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1111111111-1-1-1-1-1-1-1-111
χ811111111-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-22222222-2-2-2-2222000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-20000-2-2-200000000-2-22-20000022-2-2000020000000000
χ122222-2-22200222222-20000-2-2-200000000-2-2-2200000-2-222000020000000000
χ132222-2-22200222222-20000-2-2-2222222002200-200-2-200000000-20000000000
χ142222-2-22200222222-20000-2-2-2-2-2-2-2-2-20022002002200000000-20000000000
χ1522-2-22-2222i−2i-22-2-2-2222i2i−2i−2i2-2-20000002i−2i00000000000000000022−2−20000−i2i2
χ1622-2-22-2222i−2i-22-2-2-2222i2i−2i−2i2-2-20000002i−2i000000000000000000−2−2220000i2−i2
χ1722-2-22-222−2i2i-22-2-2-222−2i−2i2i2i2-2-2000000−2i2i00000000000000000022−2−20000i2−i2
χ1822-2-22-222−2i2i-22-2-2-222−2i−2i2i2i2-2-2000000−2i2i000000000000000000−2−2220000−i2i2
χ192-2-22002200-2-22-22-2000000002i−2i2i2i−2i−2i002-20002−200000022−2−20−i2i2−i2i2000000
χ202-2-22002200-2-22-22-2000000002i−2i2i2i−2i−2i002-2000−22000000−2−2220i2−i2i2−i2000000
χ212-2-22002200-2-22-22-200000000−2i2i−2i−2i2i2i002-20002−200000022−2−20i2−i2i2−i2000000
χ222-2-22002200-2-22-22-200000000−2i2i−2i−2i2i2i002-2000−22000000−2−2220−i2i2−i2i2000000
χ234444441-244-2-2-2111-2111111-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ244444441-244-2-2-2111-2111111-2-2-21111-2-200-2-2-200111111000000000000000
χ254444441-2-4-4-2-2-2111-2-1-1-1-111-222-1-1-1-12200-2-2200-1-11111000000000000000
χ264444441-2-4-4-2-2-2111-2-1-1-1-111-2-2-21111220022-20011-1-1-1-1000000000000000
χ27444444-2144111-2-2-21-2-2-2-2-2-21000000110000022000000-1-1-1-1000002-1-1000
χ28444444-2144111-2-2-21-2-2-2-2-2-210000001100000-2-2000000111100000-211000
χ29444444-21-4-4111-2-2-212222-2-21000000-1-10000022000000-1-1-1-100000-211000
χ30444444-21-4-4111-2-2-212222-2-21000000-1-100000-2-20000001111000002-1-1000
χ314444-4-41-200-2-2-211123-33-3-1-1222-1-1-1-100002-2-20011-1-111000000000000000
χ324444-4-41-200-2-2-211123-33-3-1-12-2-211110000-22200-1-111-1-1000000000000000
χ334444-4-41-200-2-2-21112-33-33-1-1222-1-1-1-10000-22-2001111-1-1000000000000000
χ344444-4-41-200-2-2-21112-33-33-1-12-2-2111100002-2200-1-1-1-111000000000000000
χ3544-4-44-41-24i−4i2-22-1-11-2ii−i−i1-12003−33−3−2i2i00000003−3−i3i3−i3i3000000000000000
χ3644-4-44-41-24i−4i2-22-1-11-2ii−i−i1-1200−33−33−2i2i0000000−33i3−i3i3−i3000000000000000
χ3744-4-44-41-2−4i4i2-22-1-11-2−i−iii1-12003−33−32i−2i00000003−3i3−i3i3−i3000000000000000
χ3844-4-44-41-2−4i4i2-22-1-11-2−i−iii1-1200−33−332i−2i0000000−33−i3i3−i3i3000000000000000
χ3944-4-44-4-214i−4i-11-122-21−2i−2i2i2i-22-1000000i−i00000000000003−33−3000000−i3i3000
χ4044-4-44-4-214i−4i-11-122-21−2i−2i2i2i-22-1000000i−i0000000000000−33−33000000i3−i3000
χ4144-4-44-4-21−4i4i-11-122-212i2i−2i−2i-22-1000000−ii00000000000003−33−3000000i3−i3000
χ4244-4-44-4-21−4i4i-11-122-212i2i−2i−2i-22-1000000−ii0000000000000−33−33000000−i3i3000
χ4344-4-4-441-2002-22-1-1123i−3i−3i3i-11-2003−33−3000000000−33−i3i3i3−i3000000000000000
χ4444-4-4-441-2002-22-1-1123i−3i−3i3i-11-200−33−330000000003−3i3−i3−i3i3000000000000000
χ4544-4-4-441-2002-22-1-112−3i3i3i−3i-11-2003−33−3000000000−33i3−i3−i3i3000000000000000
χ4644-4-4-441-2002-22-1-112−3i3i3i−3i-11-200−33−330000000003−3−i3i3i3−i3000000000000000
χ4744-4-4-444400-44-4-4-44-40000-444000000000000000000000000000000000000
χ484-44-40044004-4-44-4-400000000000000000000000000000000002i−2i−2i2i000000
χ494-44-40044004-4-44-4-40000000000000000000000000000000000−2i2i2i−2i000000
χ504-4-44004400-4-44-44-40000000000000000-4400000000000000000000000000
χ518888-8-8-4200222-4-4-4-2000044-2000000000000000000000000000000000000
χ5288-8-8-88-4200-22-244-4-200004-42000000000000000000000000000000000000
χ538-88-8002-400-4442-2-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ548-88-8002-400-4442-2-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ558-88-800-42002-2-2-444000000000000000000000000000006−6−6600000000000
χ568-88-800-42002-2-2-44400000000000000000000000000000−666−600000000000
χ578-8-88002-40044-4-22-2000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ588-8-88002-40044-4-22-200000000−4i4i2i2i−2i−2i000000000000000000000000000000
χ598-8-8800-4200-2-224-4400000000000000000000022−22000000−2−22200000000000
χ608-8-8800-4200-2-224-44000000000000000000000−222200000022−2−200000000000

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