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Extensions 1→N→G→Q→1 with N=C4 and Q=D4×C15

Direct product G=N×Q with N=C4 and Q=D4×C15
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=C4 and Q=D4×C15
extensionφ:Q→Aut NdρLabelID
C4⋊1(D4×C15) = C15×C4⋊1D4φ: D4×C15/C60 → C2 ⊆ Aut C4240C4:1(D4xC15)480,932
C4⋊2(D4×C15) = C15×C4⋊D4φ: D4×C15/C2×C30 → C2 ⊆ Aut C4240C4:2(D4xC15)480,926

Non-split extensions G=N.Q with N=C4 and Q=D4×C15
extensionφ:Q→Aut NdρLabelID
C4.1(D4×C15) = C15×D16φ: D4×C15/C60 → C2 ⊆ Aut C42402C4.1(D4xC15)480,214
C4.2(D4×C15) = C15×SD32φ: D4×C15/C60 → C2 ⊆ Aut C42402C4.2(D4xC15)480,215
C4.3(D4×C15) = C15×Q32φ: D4×C15/C60 → C2 ⊆ Aut C44802C4.3(D4xC15)480,216
C4.4(D4×C15) = C15×C4.4D4φ: D4×C15/C60 → C2 ⊆ Aut C4240C4.4(D4xC15)480,929
C4.5(D4×C15) = C15×C4⋊Q8φ: D4×C15/C60 → C2 ⊆ Aut C4480C4.5(D4xC15)480,933
C4.6(D4×C15) = D8×C30φ: D4×C15/C60 → C2 ⊆ Aut C4240C4.6(D4xC15)480,937
C4.7(D4×C15) = SD16×C30φ: D4×C15/C60 → C2 ⊆ Aut C4240C4.7(D4xC15)480,938
C4.8(D4×C15) = Q16×C30φ: D4×C15/C60 → C2 ⊆ Aut C4480C4.8(D4xC15)480,939
C4.9(D4×C15) = C15×C4.D4φ: D4×C15/C2×C30 → C2 ⊆ Aut C41204C4.9(D4xC15)480,203
C4.10(D4×C15) = C15×C4.10D4φ: D4×C15/C2×C30 → C2 ⊆ Aut C42404C4.10(D4xC15)480,204
C4.11(D4×C15) = C15×D4⋊C4φ: D4×C15/C2×C30 → C2 ⊆ Aut C4240C4.11(D4xC15)480,205
C4.12(D4×C15) = C15×Q8⋊C4φ: D4×C15/C2×C30 → C2 ⊆ Aut C4480C4.12(D4xC15)480,206
C4.13(D4×C15) = C15×C22⋊Q8φ: D4×C15/C2×C30 → C2 ⊆ Aut C4240C4.13(D4xC15)480,927
C4.14(D4×C15) = C15×C8⋊C22φ: D4×C15/C2×C30 → C2 ⊆ Aut C41204C4.14(D4xC15)480,941
C4.15(D4×C15) = C15×C8.C22φ: D4×C15/C2×C30 → C2 ⊆ Aut C42404C4.15(D4xC15)480,942
C4.16(D4×C15) = C15×C22⋊C8central extension (φ=1)240C4.16(D4xC15)480,201
C4.17(D4×C15) = C15×C4≀C2central extension (φ=1)1202C4.17(D4xC15)480,207
C4.18(D4×C15) = C15×C4⋊C8central extension (φ=1)480C4.18(D4xC15)480,208
C4.19(D4×C15) = C15×C8.C4central extension (φ=1)2402C4.19(D4xC15)480,211
C4.20(D4×C15) = C15×C4○D8central extension (φ=1)2402C4.20(D4xC15)480,940

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