Extensions 1→N→G→Q→1 with N=C2xD4 and Q=C22

Direct product G=NxQ with N=C2xD4 and Q=C22
dρLabelID
D4xC2xC22176D4xC2xC22352,189

Semidirect products G=N:Q with N=C2xD4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xD4):1C22 = C11xC22wrC2φ: C22/C11C2 ⊆ Out C2xD488(C2xD4):1C22352,155
(C2xD4):2C22 = C11xC4:D4φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4):2C22352,156
(C2xD4):3C22 = C11xC4:1D4φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4):3C22352,162
(C2xD4):4C22 = D8xC22φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4):4C22352,167
(C2xD4):5C22 = C11xC8:C22φ: C22/C11C2 ⊆ Out C2xD4884(C2xD4):5C22352,171
(C2xD4):6C22 = C11x2+ 1+4φ: C22/C11C2 ⊆ Out C2xD4884(C2xD4):6C22352,192
(C2xD4):7C22 = C4oD4xC22φ: trivial image176(C2xD4):7C22352,191

Non-split extensions G=N.Q with N=C2xD4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2xD4).1C22 = C11xC23:C4φ: C22/C11C2 ⊆ Out C2xD4884(C2xD4).1C22352,48
(C2xD4).2C22 = C11xC4.D4φ: C22/C11C2 ⊆ Out C2xD4884(C2xD4).2C22352,49
(C2xD4).3C22 = C11xD4:C4φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4).3C22352,51
(C2xD4).4C22 = C11xC22.D4φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4).4C22352,158
(C2xD4).5C22 = C11xC4.4D4φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4).5C22352,159
(C2xD4).6C22 = SD16xC22φ: C22/C11C2 ⊆ Out C2xD4176(C2xD4).6C22352,168
(C2xD4).7C22 = D4xC44φ: trivial image176(C2xD4).7C22352,153

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