Extensions 1→N→G→Q→1 with N=C22 and Q=C15⋊Q8

Direct product G=N×Q with N=C22 and Q=C15⋊Q8

Semidirect products G=N:Q with N=C22 and Q=C15⋊Q8
extensionφ:Q→Aut NdρLabelID
C22⋊(C15⋊Q8) = A4⋊Dic10φ: C15⋊Q8/Dic5S3 ⊆ Aut C221206-C2^2:(C15:Q8)480,975
C222(C15⋊Q8) = (C2×C10)⋊8Dic6φ: C15⋊Q8/C5×Dic3C2 ⊆ Aut C22240C2^2:2(C15:Q8)480,651
C223(C15⋊Q8) = (C2×C30)⋊Q8φ: C15⋊Q8/C3×Dic5C2 ⊆ Aut C22240C2^2:3(C15:Q8)480,650
C224(C15⋊Q8) = Dic15.48D4φ: C15⋊Q8/Dic15C2 ⊆ Aut C22240C2^2:4(C15:Q8)480,652

Non-split extensions G=N.Q with N=C22 and Q=C15⋊Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C15⋊Q8) = C12.59D20φ: C15⋊Q8/C5×Dic3C2 ⊆ Aut C222404C2^2.1(C15:Q8)480,69
C22.2(C15⋊Q8) = C60.105D4φ: C15⋊Q8/C3×Dic5C2 ⊆ Aut C222404C2^2.2(C15:Q8)480,67
C22.3(C15⋊Q8) = C60.D4φ: C15⋊Q8/Dic15C2 ⊆ Aut C222404C2^2.3(C15:Q8)480,68
C22.4(C15⋊Q8) = C30.24C42central extension (φ=1)480C2^2.4(C15:Q8)480,70
C22.5(C15⋊Q8) = C2×C30.Q8central extension (φ=1)480C2^2.5(C15:Q8)480,617
C22.6(C15⋊Q8) = C2×Dic155C4central extension (φ=1)480C2^2.6(C15:Q8)480,620
C22.7(C15⋊Q8) = C2×C6.Dic10central extension (φ=1)480C2^2.7(C15:Q8)480,621