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Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C6

Direct product G=N×Q with N=C22×C4 and Q=C6
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C22×C4 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊C6 = D4×A4φ: C6/C1 → C6 ⊆ Aut C22×C4126+(C2^2xC4):C696,197
(C22×C4)⋊2C6 = C2×C4×A4φ: C6/C2 → C3 ⊆ Aut C22×C424(C2^2xC4):2C696,196
(C22×C4)⋊3C6 = C6×C22⋊C4φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):3C696,162
(C22×C4)⋊4C6 = D4×C12φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):4C696,165
(C22×C4)⋊5C6 = C3×C22.D4φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):5C696,170
(C22×C4)⋊6C6 = C3×C4⋊D4φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):6C696,168
(C22×C4)⋊7C6 = D4×C2×C6φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):7C696,221
(C22×C4)⋊8C6 = C6×C4○D4φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4):8C696,223

Non-split extensions G=N.Q with N=C22×C4 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C22×C4).C6 = Q8×A4φ: C6/C1 → C6 ⊆ Aut C22×C4246-(C2^2xC4).C696,199
(C22×C4).2C6 = C8×A4φ: C6/C2 → C3 ⊆ Aut C22×C4243(C2^2xC4).2C696,73
(C22×C4).3C6 = C3×C2.C42φ: C6/C3 → C2 ⊆ Aut C22×C496(C2^2xC4).3C696,45
(C22×C4).4C6 = C3×C22⋊C8φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4).4C696,48
(C22×C4).5C6 = C6×C4⋊C4φ: C6/C3 → C2 ⊆ Aut C22×C496(C2^2xC4).5C696,163
(C22×C4).6C6 = C3×C42⋊C2φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4).6C696,164
(C22×C4).7C6 = C3×C22⋊Q8φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4).7C696,169
(C22×C4).8C6 = C6×M4(2)φ: C6/C3 → C2 ⊆ Aut C22×C448(C2^2xC4).8C696,177
(C22×C4).9C6 = Q8×C2×C6φ: C6/C3 → C2 ⊆ Aut C22×C496(C2^2xC4).9C696,222

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