Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C30

Direct product G=N×Q with N=C4 and Q=C2×C30
dρLabelID
C22×C60240C2^2xC60240,185

Semidirect products G=N:Q with N=C4 and Q=C2×C30
extensionφ:Q→Aut NdρLabelID
C4⋊(C2×C30) = D4×C30φ: C2×C30/C30C2 ⊆ Aut C4120C4:(C2xC30)240,186

Non-split extensions G=N.Q with N=C4 and Q=C2×C30
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C30) = C15×D8φ: C2×C30/C30C2 ⊆ Aut C41202C4.1(C2xC30)240,86
C4.2(C2×C30) = C15×SD16φ: C2×C30/C30C2 ⊆ Aut C41202C4.2(C2xC30)240,87
C4.3(C2×C30) = C15×Q16φ: C2×C30/C30C2 ⊆ Aut C42402C4.3(C2xC30)240,88
C4.4(C2×C30) = Q8×C30φ: C2×C30/C30C2 ⊆ Aut C4240C4.4(C2xC30)240,187
C4.5(C2×C30) = C15×C4○D4φ: C2×C30/C30C2 ⊆ Aut C41202C4.5(C2xC30)240,188
C4.6(C2×C30) = C15×M4(2)central extension (φ=1)1202C4.6(C2xC30)240,85

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