Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C44

Direct product G=NxQ with N=C2xC4 and Q=C44
dρLabelID
C2xC4xC44352C2xC4xC44352,149

Semidirect products G=N:Q with N=C2xC4 and Q=C44
extensionφ:Q→Aut NdρLabelID
(C2xC4):C44 = C11xC23:C4φ: C44/C11C4 ⊆ Aut C2xC4884(C2xC4):C44352,48
(C2xC4):2C44 = C11xC2.C42φ: C44/C22C2 ⊆ Aut C2xC4352(C2xC4):2C44352,44
(C2xC4):3C44 = C4:C4xC22φ: C44/C22C2 ⊆ Aut C2xC4352(C2xC4):3C44352,151
(C2xC4):4C44 = C11xC42:C2φ: C44/C22C2 ⊆ Aut C2xC4176(C2xC4):4C44352,152

Non-split extensions G=N.Q with N=C2xC4 and Q=C44
extensionφ:Q→Aut NdρLabelID
(C2xC4).C44 = C11xC4.10D4φ: C44/C11C4 ⊆ Aut C2xC41764(C2xC4).C44352,50
(C2xC4).2C44 = C11xC8:C4φ: C44/C22C2 ⊆ Aut C2xC4352(C2xC4).2C44352,46
(C2xC4).3C44 = C11xC22:C8φ: C44/C22C2 ⊆ Aut C2xC4176(C2xC4).3C44352,47
(C2xC4).4C44 = C11xC4:C8φ: C44/C22C2 ⊆ Aut C2xC4352(C2xC4).4C44352,54
(C2xC4).5C44 = C11xM5(2)φ: C44/C22C2 ⊆ Aut C2xC41762(C2xC4).5C44352,59
(C2xC4).6C44 = M4(2)xC22φ: C44/C22C2 ⊆ Aut C2xC4176(C2xC4).6C44352,165

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