Finite Group Databasebeta

← Group #11923048

Character table — Group #11923048

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222223344444444666666688888888888812121212121212121616161616161616161616161616161616167272727272727272
order122344666224412121212121224466663336666666664412121212121212121212121212121212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11-11-1-11111-11-111-1-1-1-1111-1-1111-1-1-1-1-1-11111-11-111-1-1111-1-1-1111111-1-1-1-1-1-11-11-11-11-1
χ611-11-11-1-11111-11-111-1-1-1-1111-1-1111-1-1-1-1-1-11111-11-111-1-1111-1-1-1111111-1-1-1-1-1-1-11-11-11-11
χ711-11-11-1-1111-111-1-1-111-1-1111-1-1111-1-1-1-1-1-1111-111-1-1-111111-1-1-1-1-1-1-1-1-11111111-11-1-11-11
χ811-11-11-1-1111-111-1-1-111-1-1111-1-1111-1-1-1-1-1-1111-111-1-1-111111-1-1-1-1-1-1-1-1-1111111-11-111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222222-2-222-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-111111111111100000000
χ112222-2-22222200-2-200002-2-2222222222222222200-2-20000-2-2-2-2-2-200000000000000000000
χ122222-2-22222200-2-200002-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000
χ132222-2-22222200-2-200002-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000
χ14222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-100000000
χ15222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-100000000
χ16222-122-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1200000000
χ17222-122-1-1-122-2-2-1-11111222-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-111112-1-12-1-1-211-211-211-21100000000
χ18222-122-1-1-122-2-2-1-11111222-1-1-1-1-12-1-1-122-1-1-12-1-2-2-1-11111-12-1-12-11-211-211-211-2100000000
χ19222-122-1-1-122-2-2-1-11111222-1-1-1-1-1-12-1-1-1-122-1-12-2-2-1-11111-1-12-1-1211-211-211-211-200000000
χ20222-1-2-2-1-1-1220011i3−i3i3−i32-2-2-1-1-1-12-1-122-1-1-1-12-1-10011i3−i3i3−i3-211-2110i3−i30−i3i30i3−i30−i3i300000000
χ21222-1-2-2-1-1-1220011i3−i3i3−i32-2-2-1-1-1-1-12-1-1-122-1-1-12-10011i3−i3i3−i31-211-21−i30i3i30−i3−i30i3i30−i300000000
χ22222-1-2-2-1-1-1220011i3−i3i3−i32-2-2-1-1-1-1-1-12-1-1-1-122-1-120011i3−i3i3−i311-211-2i3−i30−i3i30i3−i30−i3i3000000000
χ23222-1-2-2-1-1-1220011−i3i3−i3i32-2-2-1-1-1-12-1-122-1-1-1-12-1-10011−i3i3−i3i3-211-2110−i3i30i3−i30−i3i30i3−i300000000
χ24222-1-2-2-1-1-1220011−i3i3−i3i32-2-2-1-1-1-1-12-1-1-122-1-1-12-10011−i3i3−i3i31-211-21i30−i3−i30i3i30−i3−i30i300000000
χ25222-1-2-2-1-1-1220011−i3i3−i3i32-2-2-1-1-1-1-1-12-1-1-1-122-1-120011−i3i3−i3i311-211-2−i3i30i3−i30−i3i30i3−i3000000000
χ2622-222-2-2-222200-220000-22-222-2-2222-2-2-2-2-2-222200-220000-2-2-222200000000000000000000
χ2722-222-2-2-222200-220000-22-222-2-2-1-1-1111111-1-1-100-220000111-1-1-1i3i3i3−i3−i3−i3−i3−i3−i3i3i3i300000000
χ2822-222-2-2-222200-220000-22-222-2-2-1-1-1111111-1-1-100-220000111-1-1-1−i3−i3−i3i3i3i3i3i3i3−i3−i3−i300000000
χ2922-22-22-2-22222-22-222-2-2-2-2222-2-2-1-1-1111111-1-1-12-22-222-2-2-1-1-1111-1-1-1-1-1-111111100000000
χ3022-22-22-2-2222-222-2-2-222-2-2222-2-2-1-1-1111111-1-1-1-222-2-2-222-1-1-1111111111-1-1-1-1-1-100000000
χ3122-2-12-211-122001-1i3−i3−i3i3-22-2-1-1112-1-1-2-211112-1-1001-1i3−i3−i3i3-2112-1-10i3−i30−i3i30−i3i30i3−i300000000
χ3222-2-12-211-122001-1i3−i3−i3i3-22-2-1-111-12-111-2-211-12-1001-1i3−i3−i3i31-21-12-1−i30i3i30−i3i30−i3−i30i300000000
χ3322-2-12-211-122001-1i3−i3−i3i3-22-2-1-111-1-121111-2-2-1-12001-1i3−i3−i3i311-2-1-12i3−i30−i3i30−i3i30i3−i3000000000
χ3422-2-12-211-122001-1−i3i3i3−i3-22-2-1-1112-1-1-2-211112-1-1001-1−i3i3i3−i3-2112-1-10−i3i30i3−i30i3−i30−i3i300000000
χ3522-2-12-211-122001-1−i3i3i3−i3-22-2-1-111-12-111-2-211-12-1001-1−i3i3i3−i31-21-12-1i30−i3−i30i3−i30i3i30−i300000000
χ3622-2-12-211-122001-1−i3i3i3−i3-22-2-1-111-1-121111-2-2-1-12001-1−i3i3i3−i311-2-1-12−i3i30i3−i30i3−i30−i3i3000000000
χ3722-2-1-2211-1222-2-11-1-111-2-22-1-1112-1-1-2-211112-1-12-2-11-1-1112-1-1-2112-1-12-1-1-211-21100000000
χ3822-2-1-2211-1222-2-11-1-111-2-22-1-111-12-111-2-211-12-12-2-11-1-111-12-11-21-12-1-12-11-211-2100000000
χ3922-2-1-2211-1222-2-11-1-111-2-22-1-111-1-121111-2-2-1-122-2-11-1-111-1-1211-2-1-12-1-1211-211-200000000
χ4022-2-1-2211-122-22-1111-1-1-2-22-1-1112-1-1-2-211112-1-1-22-1111-1-12-1-1-211-211-2112-1-12-1-100000000
χ4122-2-1-2211-122-22-1111-1-1-2-22-1-111-12-111-2-211-12-1-22-1111-1-1-12-11-211-211-21-12-1-12-100000000
χ4222-2-1-2211-122-22-1111-1-1-2-22-1-111-1-121111-2-2-1-12-22-1111-1-1-1-1211-211-211-2-1-12-1-1200000000
χ43333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000000000000011-1-111-1-1
χ44333333333-1-133333333-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-111-1-111
χ45333333333-1-1-3-333-3-3-3-3-1-1-1-1-1-1-100000000000011-1-1111100000000000000000011-1-1-1-111
χ46333333333-1-1-3-333-3-3-3-3-1-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-11111-1-1
χ4733-33-33-3-33-1-13-33-333-3-311-1-1-111000000000000-11-11-1-1110000000000000000001-1-111-1-11
χ4833-33-33-3-33-1-13-33-333-3-311-1-1-111000000000000-11-11-1-111000000000000000000-111-1-111-1
χ4933-33-33-3-33-1-1-333-3-3-33311-1-1-1110000000000001-1-1111-1-10000000000000000001-1-11-111-1
χ5033-33-33-3-33-1-1-333-3-3-33311-1-1-1110000000000001-1-1111-1-1000000000000000000-111-11-1-11
χ514-4040000-44-4000000000004-400444000000-4-4-40000000000000000000000000000000000
χ524-4040000-44-4000000000004-400-2-2-22i3−2i32i3−2i32i3−2i32220000000000000000000000000000000000
χ534-4040000-44-4000000000004-400-2-2-2−2i32i3−2i32i3−2i32i32220000000000000000000000000000000000
χ544-40-2002i3−2i324-400000000000-222i3−2i34-2-2002i3−2i3−2i32i3-4220000000000000000000000000000000000
χ554-40-2002i3−2i324-400000000000-222i3−2i3-24-2−2i32i3002i3−2i32-420000000000000000000000000000000000
χ564-40-2002i3−2i324-400000000000-222i3−2i3-2-242i3−2i3−2i32i30022-40000000000000000000000000000000000
χ574-40-200−2i32i324-400000000000-22−2i32i34-2-200−2i32i32i3−2i3-4220000000000000000000000000000000000
χ584-40-200−2i32i324-400000000000-22−2i32i3-24-22i3−2i300−2i32i32-420000000000000000000000000000000000
χ594-40-200−2i32i324-400000000000-22−2i32i3-2-24−2i32i32i3−2i30022-40000000000000000000000000000000000
χ606666-6-6666-2-200-6-60000-222-2-2-2-20000000000000022000000000000000000000000000000
χ61666-366-3-3-3-2-266-3-3-3-3-3-3-2-2-21111000000000000-2-211111100000000000000000000000000
χ62666-366-3-3-3-2-2-6-6-3-33333-2-2-211110000000000002211-1-1-1-100000000000000000000000000
χ63666-3-6-6-3-3-3-2-200333i3−3i33i3−3i3-222111100000000000000-1-1−i3i3−i3i300000000000000000000000000
χ64666-3-6-6-3-3-3-2-20033−3i33i3−3i33i3-222111100000000000000-1-1i3−i3i3−i300000000000000000000000000
χ6566-666-6-6-66-2-200-6600002-22-2-222000000000000002-2000000000000000000000000000000
χ6666-6-36-633-3-2-2003-33i3−3i3−3i33i32-2211-1-100000000000000-11−i3i3i3−i300000000000000000000000000
χ6766-6-36-633-3-2-2003-3−3i33i33i3−3i32-2211-1-100000000000000-11i3−i3−i3i300000000000000000000000000
χ6866-6-3-6633-3-2-26-6-33-3-33322-211-1-1000000000000-221-111-1-100000000000000000000000000
χ6966-6-3-6633-3-2-2-66-3333-3-322-211-1-10000000000002-21-1-1-11100000000000000000000000000
χ7012-120120000-12-4400000000000-44000000000000000000000000000000000000000000000000
χ7112-120-6006i3−6i36-44000000000002-2−2i32i30000000000000000000000000000000000000000000000
χ7212-120-600−6i36i36-44000000000002-22i3−2i30000000000000000000000000000000000000000000000

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