Extensions 1→N→G→Q→1 with N=C4 and Q=C7xM4(2)

Direct product G=NxQ with N=C4 and Q=C7xM4(2)
dρLabelID
M4(2)xC28224M4(2)xC28448,812

Semidirect products G=N:Q with N=C4 and Q=C7xM4(2)
extensionφ:Q→Aut NdρLabelID
C4:1(C7xM4(2)) = C7xC8:6D4φ: C7xM4(2)/C56C2 ⊆ Aut C4224C4:1(C7xM4(2))448,844
C4:2(C7xM4(2)) = C7xC4:M4(2)φ: C7xM4(2)/C2xC28C2 ⊆ Aut C4224C4:2(C7xM4(2))448,831

Non-split extensions G=N.Q with N=C4 and Q=C7xM4(2)
extensionφ:Q→Aut NdρLabelID
C4.1(C7xM4(2)) = C7xD4:C8φ: C7xM4(2)/C56C2 ⊆ Aut C4224C4.1(C7xM4(2))448,129
C4.2(C7xM4(2)) = C7xQ8:C8φ: C7xM4(2)/C56C2 ⊆ Aut C4448C4.2(C7xM4(2))448,130
C4.3(C7xM4(2)) = C7xC8:4Q8φ: C7xM4(2)/C56C2 ⊆ Aut C4448C4.3(C7xM4(2))448,854
C4.4(C7xM4(2)) = C7xC8:2C8φ: C7xM4(2)/C2xC28C2 ⊆ Aut C4448C4.4(C7xM4(2))448,138
C4.5(C7xM4(2)) = C7xC8:1C8φ: C7xM4(2)/C2xC28C2 ⊆ Aut C4448C4.5(C7xM4(2))448,139
C4.6(C7xM4(2)) = C7xC16:C4φ: C7xM4(2)/C2xC28C2 ⊆ Aut C41124C4.6(C7xM4(2))448,151
C4.7(C7xM4(2)) = C7xC23.C8φ: C7xM4(2)/C2xC28C2 ⊆ Aut C41124C4.7(C7xM4(2))448,153
C4.8(C7xM4(2)) = C7xC42.6C4φ: C7xM4(2)/C2xC28C2 ⊆ Aut C4224C4.8(C7xM4(2))448,840
C4.9(C7xM4(2)) = C7xC8:C8central extension (φ=1)448C4.9(C7xM4(2))448,126
C4.10(C7xM4(2)) = C7xC22:C16central extension (φ=1)224C4.10(C7xM4(2))448,152
C4.11(C7xM4(2)) = C7xC4:C16central extension (φ=1)448C4.11(C7xM4(2))448,167
C4.12(C7xM4(2)) = C7xC42.12C4central extension (φ=1)224C4.12(C7xM4(2))448,839

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