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Extensions 1→N→G→Q→1 with N=C2xC42 and Q=C6

Direct product G=NxQ with N=C2xC42 and Q=C6
dρLabelID
C22xC4xC12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C2xC42 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2xC42):1C6 = C2xC42:C6φ: C6/C1 → C6 ⊆ Aut C2xC42246(C2xC4^2):1C6192,1001
(C2xC42):2C6 = C2xC23.A4φ: C6/C1 → C6 ⊆ Aut C2xC42126+(C2xC4^2):2C6192,1002
(C2xC42):3C6 = C22xC42:C3φ: C6/C2 → C3 ⊆ Aut C2xC4224(C2xC4^2):3C6192,992
(C2xC42):4C6 = C12xC22:C4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):4C6192,810
(C2xC42):5C6 = C3xC24.C22φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):5C6192,821
(C2xC42):6C6 = C6xC42:C2φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):6C6192,1403
(C2xC42):7C6 = C6xC42:2C2φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):7C6192,1417
(C2xC42):8C6 = C3xC24.3C22φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):8C6192,823
(C2xC42):9C6 = C6xC4wrC2φ: C6/C3 → C2 ⊆ Aut C2xC4248(C2xC4^2):9C6192,853
(C2xC42):10C6 = D4xC2xC12φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):10C6192,1404
(C2xC42):11C6 = C12xC4oD4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):11C6192,1406
(C2xC42):12C6 = C6xC4.4D4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):12C6192,1415
(C2xC42):13C6 = C3xC23.36C23φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):13C6192,1418
(C2xC42):14C6 = C6xC4:1D4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):14C6192,1419
(C2xC42):15C6 = C3xC22.26C24φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2):15C6192,1421

Non-split extensions G=N.Q with N=C2xC42 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2xC42).1C6 = C42:C12φ: C6/C1 → C6 ⊆ Aut C2xC42246(C2xC4^2).1C6192,192
(C2xC42).2C6 = C42:2C12φ: C6/C1 → C6 ⊆ Aut C2xC42246-(C2xC4^2).2C6192,193
(C2xC42).3C6 = C4xC42:C3φ: C6/C2 → C3 ⊆ Aut C2xC42123(C2xC4^2).3C6192,188
(C2xC42).4C6 = C3xC22.7C42φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).4C6192,142
(C2xC42).5C6 = C3xC42:4C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).5C6192,809
(C2xC42).6C6 = C12xC4:C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).6C6192,811
(C2xC42).7C6 = C3xC42:5C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).7C6192,816
(C2xC42).8C6 = C3xC23.63C23φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).8C6192,820
(C2xC42).9C6 = C6xC8:C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).9C6192,836
(C2xC42).10C6 = C3xC42:6C4φ: C6/C3 → C2 ⊆ Aut C2xC4248(C2xC4^2).10C6192,145
(C2xC42).11C6 = C3xC42:8C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).11C6192,815
(C2xC42).12C6 = C3xC42:9C4φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).12C6192,817
(C2xC42).13C6 = C3xC23.65C23φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).13C6192,822
(C2xC42).14C6 = C3xC23.67C23φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).14C6192,824
(C2xC42).15C6 = C12xM4(2)φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2).15C6192,837
(C2xC42).16C6 = C6xC4:C8φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).16C6192,855
(C2xC42).17C6 = C3xC4:M4(2)φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2).17C6192,856
(C2xC42).18C6 = C3xC42.12C4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2).18C6192,864
(C2xC42).19C6 = C3xC42.6C4φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2).19C6192,865
(C2xC42).20C6 = Q8xC2xC12φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).20C6192,1405
(C2xC42).21C6 = C6xC42.C2φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).21C6192,1416
(C2xC42).22C6 = C6xC4:Q8φ: C6/C3 → C2 ⊆ Aut C2xC42192(C2xC4^2).22C6192,1420
(C2xC42).23C6 = C3xC23.37C23φ: C6/C3 → C2 ⊆ Aut C2xC4296(C2xC4^2).23C6192,1422

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