# Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C30

Direct product G=N×Q with N=C22×C4 and Q=C30
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C4 and Q=C30
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊C30 = C5×D4×A4φ: C30/C5C6 ⊆ Aut C22×C4606(C2^2xC4):C30480,1127
(C22×C4)⋊2C30 = A4×C2×C20φ: C30/C10C3 ⊆ Aut C22×C4120(C2^2xC4):2C30480,1126
(C22×C4)⋊3C30 = C22⋊C4×C30φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):3C30480,920
(C22×C4)⋊4C30 = D4×C60φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):4C30480,923
(C22×C4)⋊5C30 = C15×C22.D4φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):5C30480,928
(C22×C4)⋊6C30 = C15×C4⋊D4φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):6C30480,926
(C22×C4)⋊7C30 = D4×C2×C30φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):7C30480,1181
(C22×C4)⋊8C30 = C4○D4×C30φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4):8C30480,1183

Non-split extensions G=N.Q with N=C22×C4 and Q=C30
extensionφ:Q→Aut NdρLabelID
(C22×C4).C30 = C5×Q8×A4φ: C30/C5C6 ⊆ Aut C22×C41206(C2^2xC4).C30480,1129
(C22×C4).2C30 = A4×C40φ: C30/C10C3 ⊆ Aut C22×C41203(C2^2xC4).2C30480,659
(C22×C4).3C30 = C15×C2.C42φ: C30/C15C2 ⊆ Aut C22×C4480(C2^2xC4).3C30480,198
(C22×C4).4C30 = C15×C22⋊C8φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4).4C30480,201
(C22×C4).5C30 = C4⋊C4×C30φ: C30/C15C2 ⊆ Aut C22×C4480(C2^2xC4).5C30480,921
(C22×C4).6C30 = C15×C42⋊C2φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4).6C30480,922
(C22×C4).7C30 = C15×C22⋊Q8φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4).7C30480,927
(C22×C4).8C30 = M4(2)×C30φ: C30/C15C2 ⊆ Aut C22×C4240(C2^2xC4).8C30480,935
(C22×C4).9C30 = Q8×C2×C30φ: C30/C15C2 ⊆ Aut C22×C4480(C2^2xC4).9C30480,1182

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