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Extensions 1→N→G→Q→1 with N=C22 and Q=C4×D15

Direct product G=N×Q with N=C22 and Q=C4×D15
dρLabelID
C22×C4×D15240C2^2xC4xD15480,1166

Semidirect products G=N:Q with N=C22 and Q=C4×D15
extensionφ:Q→Aut NdρLabelID
C22⋊(C4×D15) = C4×C5⋊S4φ: C4×D15/C20 → S3 ⊆ Aut C22606C2^2:(C4xD15)480,1025
C22⋊2(C4×D15) = Dic15⋊19D4φ: C4×D15/Dic15 → C2 ⊆ Aut C22240C2^2:2(C4xD15)480,846
C22⋊3(C4×D15) = C4×C15⋊7D4φ: C4×D15/C60 → C2 ⊆ Aut C22240C2^2:3(C4xD15)480,893
C22⋊4(C4×D15) = C22⋊C4×D15φ: C4×D15/D30 → C2 ⊆ Aut C22120C2^2:4(C4xD15)480,845

Non-split extensions G=N.Q with N=C22 and Q=C4×D15
extensionφ:Q→Aut NdρLabelID
C22.1(C4×D15) = D60.3C4φ: C4×D15/Dic15 → C2 ⊆ Aut C222404C2^2.1(C4xD15)480,872
C22.2(C4×D15) = D60.6C4φ: C4×D15/C60 → C2 ⊆ Aut C222402C2^2.2(C4xD15)480,866
C22.3(C4×D15) = C23.6D30φ: C4×D15/D30 → C2 ⊆ Aut C221204C2^2.3(C4xD15)480,166
C22.4(C4×D15) = M4(2)⋊D15φ: C4×D15/D30 → C2 ⊆ Aut C221204+C2^2.4(C4xD15)480,183
C22.5(C4×D15) = C4.D60φ: C4×D15/D30 → C2 ⊆ Aut C222404-C2^2.5(C4xD15)480,184
C22.6(C4×D15) = C23.15D30φ: C4×D15/D30 → C2 ⊆ Aut C22240C2^2.6(C4xD15)480,842
C22.7(C4×D15) = M4(2)×D15φ: C4×D15/D30 → C2 ⊆ Aut C221204C2^2.7(C4xD15)480,871
C22.8(C4×D15) = C8×Dic15central extension (φ=1)480C2^2.8(C4xD15)480,173
C22.9(C4×D15) = C60.26Q8central extension (φ=1)480C2^2.9(C4xD15)480,174
C22.10(C4×D15) = C120⋊13C4central extension (φ=1)480C2^2.10(C4xD15)480,175
C22.11(C4×D15) = D30⋊3C8central extension (φ=1)240C2^2.11(C4xD15)480,180
C22.12(C4×D15) = C30.29C42central extension (φ=1)480C2^2.12(C4xD15)480,191
C22.13(C4×D15) = C2×C8×D15central extension (φ=1)240C2^2.13(C4xD15)480,864
C22.14(C4×D15) = C2×C40⋊S3central extension (φ=1)240C2^2.14(C4xD15)480,865
C22.15(C4×D15) = C2×C4×Dic15central extension (φ=1)480C2^2.15(C4xD15)480,887
C22.16(C4×D15) = C2×C30.4Q8central extension (φ=1)480C2^2.16(C4xD15)480,888
C22.17(C4×D15) = C2×D30⋊3C4central extension (φ=1)240C2^2.17(C4xD15)480,892

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