Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C16

Direct product G=NxQ with N=C2xC4 and Q=C16
dρLabelID
C2xC4xC16128C2xC4xC16128,837

Semidirect products G=N:Q with N=C2xC4 and Q=C16
extensionφ:Q→Aut NdρLabelID
(C2xC4):C16 = C22.M5(2)φ: C16/C4C4 ⊆ Aut C2xC464(C2xC4):C16128,54
(C2xC4):2C16 = C22.7M5(2)φ: C16/C8C2 ⊆ Aut C2xC4128(C2xC4):2C16128,106
(C2xC4):3C16 = C2xC4:C16φ: C16/C8C2 ⊆ Aut C2xC4128(C2xC4):3C16128,881
(C2xC4):4C16 = C42.13C8φ: C16/C8C2 ⊆ Aut C2xC464(C2xC4):4C16128,894

Non-split extensions G=N.Q with N=C2xC4 and Q=C16
extensionφ:Q→Aut NdρLabelID
(C2xC4).C16 = C23.C16φ: C16/C4C4 ⊆ Aut C2xC4324(C2xC4).C16128,132
(C2xC4).2C16 = C32:5C4φ: C16/C8C2 ⊆ Aut C2xC4128(C2xC4).2C16128,129
(C2xC4).3C16 = C22:C32φ: C16/C8C2 ⊆ Aut C2xC464(C2xC4).3C16128,131
(C2xC4).4C16 = C4:C32φ: C16/C8C2 ⊆ Aut C2xC4128(C2xC4).4C16128,153
(C2xC4).5C16 = M7(2)φ: C16/C8C2 ⊆ Aut C2xC4642(C2xC4).5C16128,160
(C2xC4).6C16 = C2xM6(2)φ: C16/C8C2 ⊆ Aut C2xC464(C2xC4).6C16128,989

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