Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C62

Direct product G=NxQ with N=C2xC4 and Q=C62
dρLabelID
C22xC124496C2^2xC124496,37

Semidirect products G=N:Q with N=C2xC4 and Q=C62
extensionφ:Q→Aut NdρLabelID
(C2xC4):1C62 = C22:C4xC31φ: C62/C31C2 ⊆ Aut C2xC4248(C2xC4):1C62496,20
(C2xC4):2C62 = D4xC62φ: C62/C31C2 ⊆ Aut C2xC4248(C2xC4):2C62496,38
(C2xC4):3C62 = C4oD4xC31φ: C62/C31C2 ⊆ Aut C2xC42482(C2xC4):3C62496,40

Non-split extensions G=N.Q with N=C2xC4 and Q=C62
extensionφ:Q→Aut NdρLabelID
(C2xC4).1C62 = C4:C4xC31φ: C62/C31C2 ⊆ Aut C2xC4496(C2xC4).1C62496,21
(C2xC4).2C62 = M4(2)xC31φ: C62/C31C2 ⊆ Aut C2xC42482(C2xC4).2C62496,23
(C2xC4).3C62 = Q8xC62φ: C62/C31C2 ⊆ Aut C2xC4496(C2xC4).3C62496,39

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