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Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C12

Direct product G=N×Q with N=C22×C4 and Q=C12
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C22×C4 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊C12 = A4×C4⋊C4φ: C12/C2 → C6 ⊆ Aut C22×C448(C2^2xC4):C12192,995
(C22×C4)⋊2C12 = C3×C23.9D4φ: C12/C3 → C4 ⊆ Aut C22×C448(C2^2xC4):2C12192,148
(C22×C4)⋊3C12 = C3×C23.D4φ: C12/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4):3C12192,158
(C22×C4)⋊4C12 = C6×C23⋊C4φ: C12/C3 → C4 ⊆ Aut C22×C448(C2^2xC4):4C12192,842
(C22×C4)⋊5C12 = C3×C23.C23φ: C12/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4):5C12192,843
(C22×C4)⋊6C12 = A4×C42φ: C12/C4 → C3 ⊆ Aut C22×C448(C2^2xC4):6C12192,993
(C22×C4)⋊7C12 = C6×C2.C42φ: C12/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4):7C12192,808
(C22×C4)⋊8C12 = C12×C22⋊C4φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):8C12192,810
(C22×C4)⋊9C12 = C3×C23.34D4φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):9C12192,814
(C22×C4)⋊10C12 = C3×C23.7Q8φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):10C12192,813
(C22×C4)⋊11C12 = C2×C6×C4⋊C4φ: C12/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4):11C12192,1402
(C22×C4)⋊12C12 = C6×C42⋊C2φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4):12C12192,1403

Non-split extensions G=N.Q with N=C22×C4 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C22×C4).C12 = A4×M4(2)φ: C12/C2 → C6 ⊆ Aut C22×C4246(C2^2xC4).C12192,1011
(C22×C4).2C12 = C3×C23⋊C8φ: C12/C3 → C4 ⊆ Aut C22×C448(C2^2xC4).2C12192,129
(C22×C4).3C12 = C3×C22.M4(2)φ: C12/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).3C12192,130
(C22×C4).4C12 = C3×C22.C42φ: C12/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).4C12192,149
(C22×C4).5C12 = C3×C23.C8φ: C12/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4).5C12192,155
(C22×C4).6C12 = C6×C4.10D4φ: C12/C3 → C4 ⊆ Aut C22×C496(C2^2xC4).6C12192,845
(C22×C4).7C12 = C3×M4(2).8C22φ: C12/C3 → C4 ⊆ Aut C22×C4484(C2^2xC4).7C12192,846
(C22×C4).8C12 = A4×C16φ: C12/C4 → C3 ⊆ Aut C22×C4483(C2^2xC4).8C12192,203
(C22×C4).9C12 = A4×C2×C8φ: C12/C4 → C3 ⊆ Aut C22×C448(C2^2xC4).9C12192,1010
(C22×C4).10C12 = C3×C22.7C42φ: C12/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).10C12192,142
(C22×C4).11C12 = C3×C22⋊C16φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).11C12192,154
(C22×C4).12C12 = C6×C8⋊C4φ: C12/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).12C12192,836
(C22×C4).13C12 = C12×M4(2)φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).13C12192,837
(C22×C4).14C12 = C6×C22⋊C8φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).14C12192,839
(C22×C4).15C12 = C3×C24.4C4φ: C12/C6 → C2 ⊆ Aut C22×C448(C2^2xC4).15C12192,840
(C22×C4).16C12 = C3×C42.6C4φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).16C12192,865
(C22×C4).17C12 = C6×C4⋊C8φ: C12/C6 → C2 ⊆ Aut C22×C4192(C2^2xC4).17C12192,855
(C22×C4).18C12 = C3×C4⋊M4(2)φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).18C12192,856
(C22×C4).19C12 = C3×C42.12C4φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).19C12192,864
(C22×C4).20C12 = C6×M5(2)φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).20C12192,936
(C22×C4).21C12 = C2×C6×M4(2)φ: C12/C6 → C2 ⊆ Aut C22×C496(C2^2xC4).21C12192,1455

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