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

Direct product G=N×Q with N=C6 and Q=C3.S4

Semidirect products G=N:Q with N=C6 and Q=C3.S4
extensionφ:Q→Aut NdρLabelID
C6⋊(C3.S4) = C2×C32.3S4φ: C3.S4/C3.A4C2 ⊆ Aut C654C6:(C3.S4)432,537

Non-split extensions G=N.Q with N=C6 and Q=C3.S4
extensionφ:Q→Aut NdρLabelID
C6.1(C3.S4) = Q8.D27φ: C3.S4/C3.A4C2 ⊆ Aut C64324-C6.1(C3.S4)432,37
C6.2(C3.S4) = Q8⋊D27φ: C3.S4/C3.A4C2 ⊆ Aut C62164+C6.2(C3.S4)432,38
C6.3(C3.S4) = C18.S4φ: C3.S4/C3.A4C2 ⊆ Aut C61086-C6.3(C3.S4)432,39
C6.4(C3.S4) = C2×C9.S4φ: C3.S4/C3.A4C2 ⊆ Aut C6546+C6.4(C3.S4)432,224
C6.5(C3.S4) = C32.3CSU2(𝔽3)φ: C3.S4/C3.A4C2 ⊆ Aut C6432C6.5(C3.S4)432,255
C6.6(C3.S4) = C32.3GL2(𝔽3)φ: C3.S4/C3.A4C2 ⊆ Aut C6216C6.6(C3.S4)432,256
C6.7(C3.S4) = C62.10Dic3φ: C3.S4/C3.A4C2 ⊆ Aut C6108C6.7(C3.S4)432,259
C6.8(C3.S4) = C3×Q8.D9central extension (φ=1)1444C6.8(C3.S4)432,244
C6.9(C3.S4) = C3×Q8⋊D9central extension (φ=1)1444C6.9(C3.S4)432,246
C6.10(C3.S4) = C3×C6.S4central extension (φ=1)366C6.10(C3.S4)432,250