Finite Group Databasebeta

← Group #11779887

Character table — Group #11779887

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order12224433446666661212121212121212441212121212124422266666688242424244888841212488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1
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
χ511111111-1-1111111111-1-1-1-11111111-1-1111-1-111-1-1-1-111111111111-1-1-1-1-1-1
χ611111111-1-1111111111-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-111-1-111111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-2222222222-2-2-2-22000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-2-20000-200000000-2-202-20022-2-200000020000000000
χ122222-2-22200222222-2-2-20000-200000000-2-20-2200-2-22200000020000000000
χ132222-2-22200222222-2-2-20000-22222220022-200-2-20000000000-20000000000
χ142222-2-22200222222-2-2-20000-2-2-2-2-2-2-20022200220000000000-20000000000
χ1522-2-22-2222-2-2-2-22-2222-222-2-2-20000002-2000000000000000000−i2−i2i2i20000−i2i2
χ1622-2-22-2222-2-2-2-22-2222-222-2-2-20000002-2000000000000000000i2i2−i2−i20000i2−i2
χ1722-2-22-222-22-2-2-22-2222-2-2-222-2000000-22000000000000000000−i2−i2i2i20000i2−i2
χ1822-2-22-222-22-2-2-22-2222-2-2-222-2000000-22000000000000000000i2i2−i2−i20000−i2i2
χ192-22-2002200-22-2-22-2000000002i−2i2i2i−2i−2i002-2000000000−i2i2−i2−i2i2i202−22−2000000
χ202-22-2002200-22-2-22-2000000002i−2i2i2i−2i−2i002-2000000000i2−i2i2i2−i2−i20−22−22000000
χ212-22-2002200-22-2-22-200000000−2i2i−2i−2i2i2i002-2000000000−i2i2−i2−i2i2i20−22−22000000
χ222-22-2002200-22-2-22-200000000−2i2i−2i−2i2i2i002-2000000000i2−i2i2i2−i2−i202−22−2000000
χ234444441-2441-2-211-21-2-2-2-2-2-21000000110000000000022-1-1-1-1000002-1-1000
χ244444441-2441-2-211-21-2-2-2-2-2-210000001100000000000-2-2111100000-211000
χ254444441-2-4-41-2-211-21-2-222221000000-1-10000000000022-1-1-1-100000-211000
χ264444441-2-4-41-2-211-21-2-222221000000-1-100000000000-2-21111000002-1-1000
χ27444444-2144-211-2-21-2111111-222-1-1-1-1-2-200222-1-1-1-1-1-100000000000000000
χ28444444-2144-211-2-21-2111111-2-2-21111-2-200-2-2-211111100000000000000000
χ29444444-21-4-4-211-2-21-211-1-1-1-1-222-1-1-1-122002-2-2-1-1111100000000000000000
χ30444444-21-4-4-211-2-21-211-1-1-1-1-2-2-211112200-22211-1-1-1-100000000000000000
χ314444-4-4-2100-211-2-212-1-13-33-3222-1-1-1-10000-22-211-1-11100000000000000000
χ324444-4-4-2100-211-2-212-1-13-33-32-2-2111100002-22-1-111-1-100000000000000000
χ334444-4-4-2100-211-2-212-1-1-33-33222-1-1-1-10000-2-221111-1-100000000000000000
χ344444-4-4-2100-211-2-212-1-1-33-332-2-21111000022-2-1-1-1-11100000000000000000
χ3544-4-44-41-24-4-1221-1-21-22-2-222-10000001-100000000000003−33−30000003−3000
χ3644-4-44-41-24-4-1221-1-21-22-2-222-10000001-10000000000000−33−33000000−33000
χ3744-4-44-41-2-44-1221-1-21-2222-2-2-1000000-1100000000000003−33−3000000−33000
χ3844-4-44-41-2-44-1221-1-21-2222-2-2-1000000-110000000000000−33−330000003−3000
χ3944-4-44-4-214-42-1-1-221-21-111-1-1200−i3i3−i3i3-2200000−i3i3−i3i3−i3i300000000000000000
χ4044-4-44-4-214-42-1-1-221-21-111-1-1200i3−i3i3−i3-2200000i3−i3i3−i3i3−i300000000000000000
χ4144-4-44-4-21-442-1-1-221-21-1-1-111200−i3i3−i3i32-200000−i3i3i3−i3i3−i300000000000000000
χ4244-4-44-4-21-442-1-1-221-21-1-1-111200i3−i3i3−i32-200000i3−i3−i3i3−i3i300000000000000000
χ4344-4-4-444400-4-4-44-44-4-4400004000000000000000000000000000000000000
χ4444-4-4-44-21002-1-1-2212-113-3-33-200−i3i3−i3i30000000i3−i3−i3i3i3−i300000000000000000
χ4544-4-4-44-21002-1-1-2212-113-3-33-200i3−i3i3−i30000000−i3i3i3−i3−i3i300000000000000000
χ4644-4-4-44-21002-1-1-2212-11-333-3-200−i3i3−i3i30000000i3−i3i3−i3−i3i300000000000000000
χ4744-4-4-44-21002-1-1-2212-11-333-3-200i3−i3i3−i30000000−i3i3−i3i3i3−i300000000000000000
χ484-44-4004400-44-4-44-40000000000000000-4400000000000000000000000000
χ494-4-440044004-44-4-4-400000000000000000000000000000000002i−2i−2i2i000000
χ504-4-440044004-44-4-4-40000000000000000000000000000000000−2i2i2i−2i000000
χ518888-8-82-4002-4-422-4-2440000-2000000000000000000000000000000000000
χ5288-8-8-882-400-2442-2-4-24-400002000000000000000000000000000000000000
χ538-88-8002-400-2-44-224000000000000000000000000000−2i22i2i2i2−i2−i200000000000
χ548-88-8002-400-2-44-2240000000000000000000000000002i2−2i2−i2−i2i2i200000000000
χ558-88-800-420042-24-4-2000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ568-88-800-420042-24-4-200000000−4i4i2i2i−2i−2i000000000000000000000000000000
χ578-8-88002-40024-4-2-2400000000000000000000000000000i6−i6−i6i600000000000
χ588-8-88002-40024-4-2-2400000000000000000000000000000−i6i6i6−i600000000000
χ598-8-8800-4200-4-2244-2000000000023−23−2323000000000000000000000000000000
χ608-8-8800-4200-4-2244-20000000000−232323−23000000000000000000000000000000

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