Extensions 1→N→G→Q→1 with N=C2×3- 1+2 and Q=C6

Direct product G=N×Q with N=C2×3- 1+2 and Q=C6
C2×C6×3- 1+2108C2xC6xES-(3,1)324,153

Semidirect products G=N:Q with N=C2×3- 1+2 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2)⋊1C6 = C22×C3≀C3φ: C6/C2C3 ⊆ Out C2×3- 1+236(C2xES-(3,1)):1C6324,86
(C2×3- 1+2)⋊2C6 = C22×He3.C3φ: C6/C2C3 ⊆ Out C2×3- 1+2108(C2xES-(3,1)):2C6324,87
(C2×3- 1+2)⋊3C6 = C6×C9⋊C6φ: C6/C3C2 ⊆ Out C2×3- 1+2366(C2xES-(3,1)):3C6324,140
(C2×3- 1+2)⋊4C6 = C22×C9○He3φ: trivial image108(C2xES-(3,1)):4C6324,154

Non-split extensions G=N.Q with N=C2×3- 1+2 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×3- 1+2).1C6 = C4×C3≀C3φ: C6/C2C3 ⊆ Out C2×3- 1+2363(C2xES-(3,1)).1C6324,31
(C2×3- 1+2).2C6 = C4×He3.C3φ: C6/C2C3 ⊆ Out C2×3- 1+21083(C2xES-(3,1)).2C6324,32
(C2×3- 1+2).3C6 = C4×C3.He3φ: C6/C2C3 ⊆ Out C2×3- 1+21083(C2xES-(3,1)).3C6324,34
(C2×3- 1+2).4C6 = C22×C3.He3φ: C6/C2C3 ⊆ Out C2×3- 1+2108(C2xES-(3,1)).4C6324,89
(C2×3- 1+2).5C6 = C3×C9⋊C12φ: C6/C3C2 ⊆ Out C2×3- 1+2366(C2xES-(3,1)).5C6324,94
(C2×3- 1+2).6C6 = C12×3- 1+2φ: trivial image108(C2xES-(3,1)).6C6324,107
(C2×3- 1+2).7C6 = C4×C9○He3φ: trivial image1083(C2xES-(3,1)).7C6324,108