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

Direct product G=N×Q with N=C22×C4 and Q=C22
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C22×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1C22 = C22⋊C4×C22φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):1C22352,150
(C22×C4)⋊2C22 = D4×C44φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):2C22352,153
(C22×C4)⋊3C22 = C11×C22.D4φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):3C22352,158
(C22×C4)⋊4C22 = C11×C4⋊D4φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):4C22352,156
(C22×C4)⋊5C22 = D4×C2×C22φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):5C22352,189
(C22×C4)⋊6C22 = C4○D4×C22φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4):6C22352,191

Non-split extensions G=N.Q with N=C22×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C4).1C22 = C11×C2.C42φ: C22/C11C2 ⊆ Aut C22×C4352(C2^2xC4).1C22352,44
(C22×C4).2C22 = C11×C22⋊C8φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4).2C22352,47
(C22×C4).3C22 = C4⋊C4×C22φ: C22/C11C2 ⊆ Aut C22×C4352(C2^2xC4).3C22352,151
(C22×C4).4C22 = C11×C42⋊C2φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4).4C22352,152
(C22×C4).5C22 = C11×C22⋊Q8φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4).5C22352,157
(C22×C4).6C22 = M4(2)×C22φ: C22/C11C2 ⊆ Aut C22×C4176(C2^2xC4).6C22352,165
(C22×C4).7C22 = Q8×C2×C22φ: C22/C11C2 ⊆ Aut C22×C4352(C2^2xC4).7C22352,190

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