Finite Group Databasebeta

← Group #11779288

Character table — Group #11779288

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888121212121212161618182424242424242424242424242424243636363636484848727272
order1222443344666666121212121212121244121212121212442446688121212122424242448888266488
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
χ152-22-20022002-2-2-2-22000000002i−2i2i2i−2i−2i002-200000−i2i20000−i2−i2i2i2022−2−2000000
χ162-22-20022002-2-2-2-22000000002i−2i2i2i−2i−2i002-200000i2−i20000i2i2−i2−i20−2−222000000
χ172-22-20022002-2-2-2-2200000000−2i2i−2i−2i2i2i002-200000−i2i20000−i2−i2i2i20−2−222000000
χ182-22-20022002-2-2-2-2200000000−2i2i−2i−2i2i2i002-200000i2−i20000i2i2−i2−i2022−2−2000000
χ192-2-222-2222i−2i-22-2-22-222i2i−2i−2i2-2-20000002i−2i000000000000000000−i2i2−i2i200002−2
χ202-2-222-2222i−2i-22-2-22-222i2i−2i−2i2-2-20000002i−2i000000000000000000i2−i2i2−i20000−22
χ212-2-222-222−2i2i-22-2-22-22−2i−2i2i2i2-2-2000000−2i2i000000000000000000−i2i2−i2i20000−22
χ222-2-222-222−2i2i-22-2-22-22−2i−2i2i2i2-2-2000000−2i2i000000000000000000i2−i2i2−i200002−2
χ234444441-244-2-21-211-2111111-222-1-1-1-1-2-200222-1-100-1-1-1-1000000000000000
χ244444441-244-2-21-211-2111111-2-2-21111-2-200-2-2-211001111000000000000000
χ254444441-2-4-4-2-21-211-2-1-1-1-111-222-1-1-1-122002-2-2-1-1001111000000000000000
χ264444441-2-4-4-2-21-211-2-1-1-1-111-2-2-211112200-2221100-1-1-1-1000000000000000
χ27444444-214411-21-2-21-2-2-2-2-2-21000000110000000220000-1-1-1-1000002-1-1000
χ28444444-214411-21-2-21-2-2-2-2-2-21000000110000000-2-20000111100000-211000
χ29444444-21-4-411-21-2-212222-2-21000000-1-10000000220000-1-1-1-100000-211000
χ30444444-21-4-411-21-2-212222-2-21000000-1-10000000-2-200001111000002-1-1000
χ314444-4-41-200-2-21-21123-33-3-1-1222-1-1-1-10000-22-21100-1-111000000000000000
χ324444-4-41-200-2-21-21123-33-3-1-12-2-2111100002-22-1-10011-1-1000000000000000
χ334444-4-41-200-2-21-2112-33-33-1-1222-1-1-1-10000-2-22110011-1-1000000000000000
χ344444-4-41-200-2-21-2112-33-33-1-12-2-21111000022-2-1-100-1-111000000000000000
χ3544-4-4004400-4-444-4-400000000000000000000000000000000002i−2i−2i2i000000
χ3644-4-4004400-4-444-4-40000000000000000000000000000000000−2i2i2i−2i000000
χ374-44-40044004-4-4-4-440000000000000000-4400000000000000000000000000
χ384-4-444-41-24i−4i2-2-121-1-2ii−i−i1-1200−i3i3−i3i3−2i2i00000−i3i3003−33−3000000000000000
χ394-4-444-41-24i−4i2-2-121-1-2ii−i−i1-1200i3−i3i3−i3−2i2i00000i3−i300−33−33000000000000000
χ404-4-444-41-2−4i4i2-2-121-1-2−i−iii1-1200−i3i3−i3i32i−2i00000−i3i300−33−33000000000000000
χ414-4-444-41-2−4i4i2-2-121-1-2−i−iii1-1200i3−i3i3−i32i−2i00000i3−i3003−33−3000000000000000
χ424-4-444-4-214i−4i-112-1-221−2i−2i2i2i-22-1000000i−i00000000000003−33−3000000−i3i3000
χ434-4-444-4-214i−4i-112-1-221−2i−2i2i2i-22-1000000i−i0000000000000−33−33000000i3−i3000
χ444-4-444-4-21−4i4i-112-1-2212i2i−2i−2i-22-1000000−ii00000000000003−33−3000000i3−i3000
χ454-4-444-4-21−4i4i-112-1-2212i2i−2i−2i-22-1000000−ii0000000000000−33−33000000−i3i3000
χ464-4-44-441-2002-2-121-123i−3i−3i3i-11-200−i3i3−i3i30000000i3−i3003−3−33000000000000000
χ474-4-44-441-2002-2-121-123i−3i−3i3i-11-200i3−i3i3−i30000000−i3i300−333−3000000000000000
χ484-4-44-441-2002-2-121-12−3i3i3i−3i-11-200−i3i3−i3i30000000i3−i300−333−3000000000000000
χ494-4-44-441-2002-2-121-12−3i3i3i−3i-11-200i3−i3i3−i30000000−i3i3003−3−33000000000000000
χ504-4-44-444400-44-4-44-4-40000-444000000000000000000000000000000000000
χ518888-8-8-420022-42-4-4-2000044-2000000000000000000000000000000000000
χ5288-8-8002-400442-4-2-2000000000023−23−2323000000000000000000000000000000
χ5388-8-8002-400442-4-2-20000000000−232323−23000000000000000000000000000000
χ5488-8-800-4200-2-2-424400000000000000000000000000000i6−i6−i6i600000000000
χ5588-8-800-4200-2-2-424400000000000000000000000000000−i6i6i6−i600000000000
χ568-88-8002-400-44-24-22000000004i−4i−2i−2i2i2i000000000000000000000000000000
χ578-88-8002-400-44-24-2200000000−4i4i2i2i−2i−2i000000000000000000000000000000
χ588-88-800-42002-24-24-400000000000000000000000−2i22i20000i2i2−i2−i200000000000
χ598-88-800-42002-24-24-4000000000000000000000002i2−2i20000−i2−i2i2i200000000000
χ608-8-88-88-4200-224-2-44-200004-42000000000000000000000000000000000000

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