Extensions 1→N→G→Q→1 with N=C4 and Q=C66

Direct product G=NxQ with N=C4 and Q=C66
dρLabelID
C2xC132264C2xC132264,28

Semidirect products G=N:Q with N=C4 and Q=C66
extensionφ:Q→Aut NdρLabelID
C4:C66 = D4xC33φ: C66/C33C2 ⊆ Aut C41322C4:C66264,29

Non-split extensions G=N.Q with N=C4 and Q=C66
extensionφ:Q→Aut NdρLabelID
C4.C66 = Q8xC33φ: C66/C33C2 ⊆ Aut C42642C4.C66264,30

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