Extensions 1→N→G→Q→1 with N=C3 and Q=C6.5S4

Direct product G=N×Q with N=C3 and Q=C6.5S4
dρLabelID
C3×C6.5S4484C3xC6.5S4432,616

Semidirect products G=N:Q with N=C3 and Q=C6.5S4
extensionφ:Q→Aut NdρLabelID
C3⋊(C6.5S4) = C324CSU2(𝔽3)φ: C6.5S4/C3×SL2(𝔽3)C2 ⊆ Aut C3144C3:(C6.5S4)432,619

Non-split extensions G=N.Q with N=C3 and Q=C6.5S4
extensionφ:Q→Aut NdρLabelID
C3.1(C6.5S4) = C18.5S4φ: C6.5S4/C3×SL2(𝔽3)C2 ⊆ Aut C31444-C3.1(C6.5S4)432,252
C3.2(C6.5S4) = C32.3CSU2(𝔽3)φ: C6.5S4/C3×SL2(𝔽3)C2 ⊆ Aut C3432C3.2(C6.5S4)432,255
C3.3(C6.5S4) = C322CSU2(𝔽3)central stem extension (φ=1)1446C3.3(C6.5S4)432,257

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