Extensions 1→N→G→Q→1 with N=C3×He3⋊C2 and Q=C2

Direct product G=N×Q with N=C3×He3⋊C2 and Q=C2
dρLabelID
C6×He3⋊C254C6xHe3:C2324,145

Semidirect products G=N:Q with N=C3×He3⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×He3⋊C2)⋊1C2 = C3×C32⋊D6φ: C2/C1C2 ⊆ Out C3×He3⋊C2186(C3xHe3:C2):1C2324,117
(C3×He3⋊C2)⋊2C2 = S3×He3⋊C2φ: C2/C1C2 ⊆ Out C3×He3⋊C2186(C3xHe3:C2):2C2324,122
(C3×He3⋊C2)⋊3C2 = He36D6φ: C2/C1C2 ⊆ Out C3×He3⋊C227(C3xHe3:C2):3C2324,124

Non-split extensions G=N.Q with N=C3×He3⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×He3⋊C2).1C2 = C3×He3⋊C4φ: C2/C1C2 ⊆ Out C3×He3⋊C254(C3xHe3:C2).1C2324,110
(C3×He3⋊C2).2C2 = He34Dic3φ: C2/C1C2 ⊆ Out C3×He3⋊C2186(C3xHe3:C2).2C2324,113

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