Extensions 1→N→G→Q→1 with N=C22xC4 and Q=C2

Direct product G=NxQ with N=C22xC4 and Q=C2
dρLabelID
C23xC432C2^3xC432,45

Semidirect products G=N:Q with N=C22xC4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC4):1C2 = C2xC22:C4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):1C232,22
(C22xC4):2C2 = C4xD4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):2C232,25
(C22xC4):3C2 = C22.D4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):3C232,30
(C22xC4):4C2 = C4:D4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):4C232,28
(C22xC4):5C2 = C22xD4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):5C232,46
(C22xC4):6C2 = C2xC4oD4φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4):6C232,48

Non-split extensions G=N.Q with N=C22xC4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22xC4).1C2 = C2.C42φ: C2/C1C2 ⊆ Aut C22xC432(C2^2xC4).1C232,2
(C22xC4).2C2 = C22:C8φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4).2C232,5
(C22xC4).3C2 = C2xC4:C4φ: C2/C1C2 ⊆ Aut C22xC432(C2^2xC4).3C232,23
(C22xC4).4C2 = C42:C2φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4).4C232,24
(C22xC4).5C2 = C22:Q8φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4).5C232,29
(C22xC4).6C2 = C2xM4(2)φ: C2/C1C2 ⊆ Aut C22xC416(C2^2xC4).6C232,37
(C22xC4).7C2 = C22xQ8φ: C2/C1C2 ⊆ Aut C22xC432(C2^2xC4).7C232,47

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