Extensions 1→N→G→Q→1 with N=C22 and Q=C62

Direct product G=NxQ with N=C22 and Q=C62
dρLabelID
C22xC62144C2^2xC6^2144,197

Semidirect products G=N:Q with N=C22 and Q=C62
extensionφ:Q→Aut NdρLabelID
C22:C62 = A4xC2xC6φ: C62/C2xC6C3 ⊆ Aut C2236C2^2:C6^2144,193
C22:2C62 = D4xC3xC6φ: C62/C3xC6C2 ⊆ Aut C2272C2^2:2C6^2144,179

Non-split extensions G=N.Q with N=C22 and Q=C62
extensionφ:Q→Aut NdρLabelID
C22.C62 = C32xC4oD4φ: C62/C3xC6C2 ⊆ Aut C2272C2^2.C6^2144,181
C22.2C62 = C32xC22:C4central extension (φ=1)72C2^2.2C6^2144,102
C22.3C62 = C32xC4:C4central extension (φ=1)144C2^2.3C6^2144,103
C22.4C62 = Q8xC3xC6central extension (φ=1)144C2^2.4C6^2144,180

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