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Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=C3×D5

Direct product G=N×Q with N=C4⋊C4 and Q=C3×D5
dρLabelID
C3×D5×C4⋊C4240C3xD5xC4:C4480,684

Semidirect products G=N:Q with N=C4⋊C4 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1(C3×D5) = C3×D20⋊6C4φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:1(C3xD5)480,87
C4⋊C4⋊2(C3×D5) = C3×D10.13D4φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:2(C3xD5)480,687
C4⋊C4⋊3(C3×D5) = C3×C4⋊D20φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:3(C3xD5)480,688
C4⋊C4⋊4(C3×D5) = C3×D10⋊Q8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:4(C3xD5)480,689
C4⋊C4⋊5(C3×D5) = C3×D10⋊2Q8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:5(C3xD5)480,690
C4⋊C4⋊6(C3×D5) = C3×C4⋊C4⋊D5φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4240C4:C4:6(C3xD5)480,691
C4⋊C4⋊7(C3×D5) = C3×C4⋊C4⋊7D5φ: trivial image240C4:C4:7(C3xD5)480,685
C4⋊C4⋊8(C3×D5) = C3×D20⋊8C4φ: trivial image240C4:C4:8(C3xD5)480,686

Non-split extensions G=N.Q with N=C4⋊C4 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
C4⋊C4.1(C3×D5) = C3×C10.D8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.1(C3xD5)480,85
C4⋊C4.2(C3×D5) = C3×C20.Q8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.2(C3xD5)480,86
C4⋊C4.3(C3×D5) = C3×C10.Q16φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.3(C3xD5)480,88
C4⋊C4.4(C3×D5) = C3×C20⋊Q8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.4(C3xD5)480,681
C4⋊C4.5(C3×D5) = C3×Dic5.Q8φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.5(C3xD5)480,682
C4⋊C4.6(C3×D5) = C3×C4.Dic10φ: C3×D5/C15 → C2 ⊆ Out C4⋊C4480C4:C4.6(C3xD5)480,683
C4⋊C4.7(C3×D5) = C3×Dic5⋊3Q8φ: trivial image480C4:C4.7(C3xD5)480,680

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