Extensions 1→N→G→Q→1 with N=C22xD11 and Q=C4

Direct product G=NxQ with N=C22xD11 and Q=C4
dρLabelID
C22xC4xD11176C2^2xC4xD11352,174

Semidirect products G=N:Q with N=C22xD11 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22xD11):C4 = C22.2D44φ: C4/C1C4 ⊆ Out C22xD11884(C2^2xD11):C4352,12
(C22xD11):2C4 = C22:C4xD11φ: C4/C2C2 ⊆ Out C22xD1188(C2^2xD11):2C4352,75
(C22xD11):3C4 = C2xD22:C4φ: C4/C2C2 ⊆ Out C22xD11176(C2^2xD11):3C4352,122

Non-split extensions G=N.Q with N=C22xD11 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22xD11).C4 = C44.46D4φ: C4/C1C4 ⊆ Out C22xD11884+(C2^2xD11).C4352,29
(C22xD11).2C4 = D22:C8φ: C4/C2C2 ⊆ Out C22xD11176(C2^2xD11).2C4352,26
(C22xD11).3C4 = C2xC88:C2φ: C4/C2C2 ⊆ Out C22xD11176(C2^2xD11).3C4352,95
(C22xD11).4C4 = M4(2)xD11φ: C4/C2C2 ⊆ Out C22xD11884(C2^2xD11).4C4352,101
(C22xD11).5C4 = C2xC8xD11φ: trivial image176(C2^2xD11).5C4352,94

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