Finite Group Databasebeta

← Group #11780266

Character table — Group #11780266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order122244334466666612121212121212124412121212121244244668812121212242424244888841212488
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1
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
χ511111111-1-11111111-1-1-1-1111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111-1-11111111-1-1-1-1111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-111
χ711111111-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-111-111-1-111111111111-1-1-1-1-1-1-1-111
χ811111111-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111111111-1-1-1
χ922222222222222222222222200000022-2-2000000000000000-20000000-200
χ1022222222-2-22222222-2-2-2-2222000000-2-2-2-2000000000000000-20000000200
χ112222-2-22200222222-20000-2-2-200000000-2-202-2000022-2-2000020000000000
χ122222-2-22200222222-20000-2-2-200000000-2-20-220000-2-222000020000000000
χ132222-2-22200222222-20000-2-2-22222220022-200-2-20000000000-20000000000
χ142222-2-22200222222-20000-2-2-2-2-2-2-2-2-20022200220000000000-20000000000
χ152-22-2-22222i−2i2-2-22-2-2-22i2i−2i−2i2-220000002i−2i00000000000000000022−2−20000−i2i2
χ162-22-2-22222i−2i2-2-22-2-2-22i2i−2i−2i2-220000002i−2i000000000000000000−2−2220000i2−i2
χ172-22-2-2222−2i2i2-2-22-2-2-2−2i−2i2i2i2-22000000−2i2i00000000000000000022−2−20000i2−i2
χ182-22-2-2222−2i2i2-2-22-2-2-2−2i−2i2i2i2-22000000−2i2i000000000000000000−2−2220000−i2i2
χ192-2-22002200-2-2-2-222000000002i−2i2i2i−2i−2i002-200000−i2i20000−i2−i2i2i202−22−2000000
χ202-2-22002200-2-2-2-222000000002i−2i2i2i−2i−2i002-200000i2−i20000i2i2−i2−i20−22−22000000
χ212-2-22002200-2-2-2-22200000000−2i2i−2i−2i2i2i002-200000−i2i20000−i2−i2i2i20−22−22000000
χ222-2-22002200-2-2-2-22200000000−2i2i−2i−2i2i2i002-200000i2−i20000i2i2−i2−i202−22−2000000
χ234444441-24411-2-21-21-2-2-2-2-2-21000000110000000220000-1-1-1-1000002-1-1000
χ244444441-24411-2-21-21-2-2-2-2-2-21000000110000000-2-20000111100000-211000
χ254444441-2-4-411-2-21-212222-2-21000000-1-10000000220000-1-1-1-100000-211000
χ264444441-2-4-411-2-21-212222-2-21000000-1-10000000-2-200001111000002-1-1000
χ27444444-2144-2-211-21-2111111-222-1-1-1-1-2-200222-1-100-1-1-1-1000000000000000
χ28444444-2144-2-211-21-2111111-2-2-21111-2-200-2-2-211001111000000000000000
χ29444444-21-4-4-2-211-21-2-1-1-1-111-222-1-1-1-122002-2-2-1-1001111000000000000000
χ30444444-21-4-4-2-211-21-2-1-1-1-111-2-2-211112200-2221100-1-1-1-1000000000000000
χ314444-4-4-2100-2-211-2123-33-3-1-1222-1-1-1-10000-22-21100-1-111000000000000000
χ324444-4-4-2100-2-211-2123-33-3-1-12-2-2111100002-22-1-10011-1-1000000000000000
χ334444-4-4-2100-2-211-212-33-33-1-1222-1-1-1-10000-2-22110011-1-1000000000000000
χ344444-4-4-2100-2-211-212-33-33-1-12-2-21111000022-2-1-100-1-111000000000000000
χ3544-4-4004400-444-4-4-400000000000000000000000000000000002-2-22000000
χ3644-4-4004400-444-4-4-40000000000000000000000000000000000-222-2000000
χ374-44-44-444004-4-44-4-440000-44-4000000000000000000000000000000000000
χ384-44-44-4-2100-22-112-1-23i−3i−3i3i-11200−i3i3−i3i30000000−i3i3003−33−3000000000000000
χ394-44-44-4-2100-22-112-1-23i−3i−3i3i-11200i3−i3i3−i30000000i3−i300−33−33000000000000000
χ404-44-44-4-2100-22-112-1-2−3i3i3i−3i-11200−i3i3−i3i30000000−i3i300−33−33000000000000000
χ414-44-44-4-2100-22-112-1-2−3i3i3i−3i-11200i3−i3i3−i30000000i3−i3003−33−3000000000000000
χ424-44-4-441-24i−4i1-12-2-12-1−2i−2i2i2i-221000000i−i0000000000000−i3i3−i3i30000003−3000
χ434-44-4-441-24i−4i1-12-2-12-1−2i−2i2i2i-221000000i−i0000000000000i3−i3i3−i3000000−33000
χ444-44-4-441-2−4i4i1-12-2-12-12i2i−2i−2i-221000000−ii0000000000000−i3i3−i3i3000000−33000
χ454-44-4-441-2−4i4i1-12-2-12-12i2i−2i−2i-221000000−ii0000000000000i3−i3i3−i30000003−3000
χ464-44-4-44-214i−4i-22-112-12ii−i−i1-1-200−i3i3−i3i3−2i2i00000i3−i3003−3−33000000000000000
χ474-44-4-44-214i−4i-22-112-12ii−i−i1-1-200i3−i3i3−i3−2i2i00000−i3i300−333−3000000000000000
χ484-44-4-44-21−4i4i-22-112-12−i−iii1-1-200−i3i3−i3i32i−2i00000i3−i300−333−3000000000000000
χ494-44-4-44-21−4i4i-22-112-12−i−iii1-1-200i3−i3i3−i32i−2i00000−i3i3003−3−33000000000000000
χ504-4-44004400-4-4-4-4440000000000000000-4400000000000000000000000000
χ518888-8-82-40022-4-42-4-2000044-2000000000000000000000000000000000000
χ5288-8-8002-400-22-44-24000000000000000000000000000006−6−6600000000000
χ5388-8-8002-400-22-44-2400000000000000000000000000000−666−600000000000
χ5488-8-800-42004-42-24-2000000000023−23−2323000000000000000000000000000000
χ5588-8-800-42004-42-24-20000000000−232323−23000000000000000000000000000000
χ568-88-88-82-4002-24-4-24200004-4-2000000000000000000000000000000000000
χ578-8-88002-400-2-2442-400000000000000000000000−2i22i20000i2i2−i2−i200000000000
χ588-8-88002-400-2-2442-4000000000000000000000002i2−2i20000−i2−i2i2i200000000000
χ598-8-8800-420044-2-2-42000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ608-8-8800-420044-2-2-4200000000−4i4i2i2i−2i−2i000000000000000000000000000000

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