Finite Group Databasebeta

← Group #11779034

Character table — Group #11779034

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order12224433446666661212121212121212226666121244444881212121212122424242448888266488
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
χ511111111-1-1111111111-1-1-1-11111111-1-111-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-1111111111-1-1-1-11111111-1-111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111-111-1-1111111111-1-1-1-1-1-1-1-111
χ811111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-2222222222-2-2-2-22000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-2-2-20000-200000000-2-22-20000022-2-2000020000000000
χ122222-2-22200222222-2-2-20000-200000000-2-2-2200000-2-222000020000000000
χ132222-2-22200222222-2-2-20000-2222222002200-200-2-200000000-20000000000
χ142222-2-22200222222-2-2-20000-2-2-2-2-2-2-20022002002200000000-20000000000
χ1522-2-200220022-2-2-2-2000000002-222-2-200-22000−i2i2000000−i2−i2i2i20−i2−i2i2i2000000
χ1622-2-200220022-2-2-2-2000000002-222-2-200-22000i2−i2000000i2i2−i2−i20i2i2−i2−i2000000
χ1722-2-200220022-2-2-2-200000000-22-2-22200-22000−i2i2000000−i2−i2i2i20i2i2−i2−i2000000
χ1822-2-200220022-2-2-2-200000000-22-2-22200-22000i2−i2000000i2i2−i2−i20−i2−i2i2i2000000
χ192-2-222-2222i−2i-2-22-22-222-22i2i−2i−2i-20000002i−2i000000000000000000−i2i2−i2i200002−2
χ202-2-222-2222i−2i-2-22-22-222-22i2i−2i−2i-20000002i−2i000000000000000000i2−i2i2−i20000−22
χ212-2-222-222−2i2i-2-22-22-222-2−2i−2i2i2i-2000000−2i2i000000000000000000−i2i2−i2i20000−22
χ222-2-222-222−2i2i-2-22-22-222-2−2i−2i2i2i-2000000−2i2i000000000000000000i2−i2i2−i200002−2
χ234444441-2441-2-2-211-2111111-222-1-1-1-1-2-20022200-1-1-1-1-1-1000000000000000
χ244444441-2441-2-2-211-2111111-2-2-21111-2-200-2-2-200111111000000000000000
χ254444441-2-4-41-2-2-211-211-1-1-1-1-222-1-1-1-12200-2-2200-1-11111000000000000000
χ264444441-2-4-41-2-2-211-211-1-1-1-1-2-2-21111220022-20011-1-1-1-1000000000000000
χ27444444-2144-2111-2-21-2-2-2-2-2-21000000110000022000000-1-1-1-1000002-1-1000
χ28444444-2144-2111-2-21-2-2-2-2-2-210000001100000-2-2000000111100000-211000
χ29444444-21-4-4-2111-2-21-2-222221000000-1-10000022000000-1-1-1-100000-211000
χ30444444-21-4-4-2111-2-21-2-222221000000-1-100000-2-20000001111000002-1-1000
χ314444-4-41-2001-2-2-2112-1-13-33-3222-1-1-1-100002-2-20011-1-111000000000000000
χ324444-4-41-2001-2-2-2112-1-13-33-32-2-211110000-22200-1-111-1-1000000000000000
χ334444-4-41-2001-2-2-2112-1-1-33-33222-1-1-1-10000-22-2001111-1-1000000000000000
χ344444-4-41-2001-2-2-2112-1-1-33-332-2-2111100002-2200-1-1-1-111000000000000000
χ3544-4-400440044-4-4-4-400000000000000004-400000000000000000000000000
χ364-44-4004400-4-4-44-4400000000000000000000000000000000002-2-22000000
χ374-44-4004400-4-4-44-440000000000000000000000000000000000-222-2000000
χ384-4-444-41-24i−4i-12-221-1-21-1ii−i−i200−i3i3−i3i3−2i2i0000000−i3i33−33−3000000000000000
χ394-4-444-41-24i−4i-12-221-1-21-1ii−i−i200i3−i3i3−i3−2i2i0000000i3−i3−33−33000000000000000
χ404-4-444-41-2−4i4i-12-221-1-21-1−i−iii200−i3i3−i3i32i−2i0000000−i3i3−33−33000000000000000
χ414-4-444-41-2−4i4i-12-221-1-21-1−i−iii200i3−i3i3−i32i−2i0000000i3−i33−33−3000000000000000
χ424-4-444-4-214i−4i2-11-1-221-22−2i−2i2i2i-1000000i−i00000000000003−33−3000000−i3i3000
χ434-4-444-4-214i−4i2-11-1-221-22−2i−2i2i2i-1000000i−i0000000000000−33−33000000i3−i3000
χ444-4-444-4-21−4i4i2-11-1-221-222i2i−2i−2i-1000000−ii00000000000003−33−3000000i3−i3000
χ454-4-444-4-21−4i4i2-11-1-221-222i2i−2i−2i-1000000−ii0000000000000−33−33000000−i3i3000
χ464-4-44-441-200-12-221-12-113i−3i−3i3i-200−i3i3−i3i3000000000i3−i33−3−33000000000000000
χ474-4-44-441-200-12-221-12-113i−3i−3i3i-200i3−i3i3−i3000000000−i3i3−333−3000000000000000
χ484-4-44-441-200-12-221-12-11−3i3i3i−3i-200−i3i3−i3i3000000000i3−i3−333−3000000000000000
χ494-4-44-441-200-12-221-12-11−3i3i3i−3i-200i3−i3i3−i3000000000−i3i33−3−33000000000000000
χ504-4-44-444400-4-44-44-4-4-4400004000000000000000000000000000000000000
χ518888-8-8-4200-4222-4-4-2440000-2000000000000000000000000000000000000
χ5288-8-8002-4002-444-2-2000000004-4-2-222000000000000000000000000000000
χ5388-8-8002-4002-444-2-200000000-4422-2-2000000000000000000000000000000
χ5488-8-800-4200-42-2-244000000000000000000000−2i22i2000000i2i2−i2−i200000000000
χ5588-8-800-4200-42-2-2440000000000000000000002i2−2i2000000−i2−i2i2i200000000000
χ568-88-8002-400-244-4-220000000000−2i32i32i3−2i3000000000000000000000000000000
χ578-88-8002-400-244-4-2200000000002i3−2i3−2i32i3000000000000000000000000000000
χ588-88-800-42004-2-224-400000000000000000000000000000i6−i6−i6i600000000000
χ598-88-800-42004-2-224-400000000000000000000000000000−i6i6i6−i600000000000
χ608-8-88-88-42004-22-2-44-24-400002000000000000000000000000000000000000

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