# Extensions 1→N→G→Q→1 with N=C22 and Q=D4×C15

Direct product G=N×Q with N=C22 and Q=D4×C15
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C22 and Q=D4×C15
extensionφ:Q→Aut NdρLabelID
C22⋊(D4×C15) = C5×D4×A4φ: D4×C15/C5×D4C3 ⊆ Aut C22606C2^2:(D4xC15)480,1127
C222(D4×C15) = C15×C4⋊D4φ: D4×C15/C60C2 ⊆ Aut C22240C2^2:2(D4xC15)480,926
C223(D4×C15) = C15×C22≀C2φ: D4×C15/C2×C30C2 ⊆ Aut C22120C2^2:3(D4xC15)480,925

Non-split extensions G=N.Q with N=C22 and Q=D4×C15
extensionφ:Q→Aut NdρLabelID
C22.1(D4×C15) = C15×C4○D8φ: D4×C15/C60C2 ⊆ Aut C222402C2^2.1(D4xC15)480,940
C22.2(D4×C15) = C15×C23⋊C4φ: D4×C15/C2×C30C2 ⊆ Aut C221204C2^2.2(D4xC15)480,202
C22.3(D4×C15) = C15×C4≀C2φ: D4×C15/C2×C30C2 ⊆ Aut C221202C2^2.3(D4xC15)480,207
C22.4(D4×C15) = C15×C22.D4φ: D4×C15/C2×C30C2 ⊆ Aut C22240C2^2.4(D4xC15)480,928
C22.5(D4×C15) = C15×C8⋊C22φ: D4×C15/C2×C30C2 ⊆ Aut C221204C2^2.5(D4xC15)480,941
C22.6(D4×C15) = C15×C8.C22φ: D4×C15/C2×C30C2 ⊆ Aut C222404C2^2.6(D4xC15)480,942
C22.7(D4×C15) = C15×C2.C42central extension (φ=1)480C2^2.7(D4xC15)480,198
C22.8(D4×C15) = C15×D4⋊C4central extension (φ=1)240C2^2.8(D4xC15)480,205
C22.9(D4×C15) = C15×Q8⋊C4central extension (φ=1)480C2^2.9(D4xC15)480,206
C22.10(D4×C15) = C15×C4.Q8central extension (φ=1)480C2^2.10(D4xC15)480,209
C22.11(D4×C15) = C15×C2.D8central extension (φ=1)480C2^2.11(D4xC15)480,210
C22.12(D4×C15) = C22⋊C4×C30central extension (φ=1)240C2^2.12(D4xC15)480,920
C22.13(D4×C15) = C4⋊C4×C30central extension (φ=1)480C2^2.13(D4xC15)480,921
C22.14(D4×C15) = D8×C30central extension (φ=1)240C2^2.14(D4xC15)480,937
C22.15(D4×C15) = SD16×C30central extension (φ=1)240C2^2.15(D4xC15)480,938
C22.16(D4×C15) = Q16×C30central extension (φ=1)480C2^2.16(D4xC15)480,939

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