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

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

Semidirect products G=N:Q with N=C2×C34 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C34)⋊C6 = A4×D17φ: C6/C1 → C6 ⊆ Aut C2×C34686+(C2xC34):C6408,38
(C2×C34)⋊2C6 = A4×C34φ: C6/C2 → C3 ⊆ Aut C2×C341023(C2xC34):2C6408,42
(C2×C34)⋊3C6 = D4×C51φ: C6/C3 → C2 ⊆ Aut C2×C342042(C2xC34):3C6408,31
(C2×C34)⋊4C6 = C3×C17⋊D4φ: C6/C3 → C2 ⊆ Aut C2×C342042(C2xC34):4C6408,19
(C2×C34)⋊5C6 = C2×C6×D17φ: C6/C3 → C2 ⊆ Aut C2×C34204(C2xC34):5C6408,43

Non-split extensions G=N.Q with N=C2×C34 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C2×C34).C6 = C6×Dic17φ: C6/C3 → C2 ⊆ Aut C2×C34408(C2xC34).C6408,18

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