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Extensions 1→N→G→Q→1 with N=C34 and Q=C2×C6

Direct product G=N×Q with N=C34 and Q=C2×C6
dρLabelID
C22×C102408C2^2xC102408,46

Semidirect products G=N:Q with N=C34 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C34⋊(C2×C6) = C2×C6×D17φ: C2×C6/C6 → C2 ⊆ Aut C34204C34:(C2xC6)408,43

Non-split extensions G=N.Q with N=C34 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C34.1(C2×C6) = C3×Dic34φ: C2×C6/C6 → C2 ⊆ Aut C344082C34.1(C2xC6)408,15
C34.2(C2×C6) = C12×D17φ: C2×C6/C6 → C2 ⊆ Aut C342042C34.2(C2xC6)408,16
C34.3(C2×C6) = C3×D68φ: C2×C6/C6 → C2 ⊆ Aut C342042C34.3(C2xC6)408,17
C34.4(C2×C6) = C6×Dic17φ: C2×C6/C6 → C2 ⊆ Aut C34408C34.4(C2xC6)408,18
C34.5(C2×C6) = C3×C17⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C342042C34.5(C2xC6)408,19
C34.6(C2×C6) = D4×C51central extension (φ=1)2042C34.6(C2xC6)408,31
C34.7(C2×C6) = Q8×C51central extension (φ=1)4082C34.7(C2xC6)408,32

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