Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xDic₃

Direct product G=NxQ with N=C₁₂ and Q=C₃xDic₃

		d	ρ	Label	ID
Dic₃xC₃xC₁₂		144		Dic3xC3xC12	432,471

Semidirect products G=N:Q with N=C₁₂ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁(C₃xDic₃) = C₃xC₁₂:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	C12:1(C3xDic3)	432,489
C₁₂:₂(C₃xDic₃) = C₁₂xC₃:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	C12:2(C3xDic3)	432,487
C₁₂:₃(C₃xDic₃) = C₃²xC₄:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	C12:3(C3xDic3)	432,473

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₃xDic₃) = C₃xC₄.Dic₉	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72	2	C12.1(C3xDic3)	432,125
C₁₂.₂(C₃xDic₃) = C₃xC₄:Dic₉	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.2(C3xDic3)	432,130
C₁₂.₃(C₃xDic₃) = He₃:₇M₄(2)	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72	6	C12.3(C3xDic3)	432,137
C₁₂.₄(C₃xDic₃) = C₆².₂₀D₆	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.4(C3xDic3)	432,140
C₁₂.₅(C₃xDic₃) = C₃₆.C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72	6	C12.5(C3xDic3)	432,143
C₁₂.₆(C₃xDic₃) = C₃₆:C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.6(C3xDic3)	432,146
C₁₂.₇(C₃xDic₃) = C₃xC₁₂.₅₈D₆	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72		C12.7(C3xDic3)	432,486
C₁₂.₈(C₃xDic₃) = C₃xC₉:C₁₆	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	2	C12.8(C3xDic3)	432,28
C₁₂.₉(C₃xDic₃) = He₃:₃C₁₆	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	6	C12.9(C3xDic3)	432,30
C₁₂.₁₀(C₃xDic₃) = C₉:C₄₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144	6	C12.10(C3xDic3)	432,31
C₁₂.₁₁(C₃xDic₃) = C₆xC₉:C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.11(C3xDic3)	432,124
C₁₂.₁₂(C₃xDic₃) = C₁₂xDic₉	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.12(C3xDic3)	432,128
C₁₂.₁₃(C₃xDic₃) = C₂xHe₃:₃C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.13(C3xDic3)	432,136
C₁₂.₁₄(C₃xDic₃) = C₄xC₃²:C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.14(C3xDic3)	432,138
C₁₂.₁₅(C₃xDic₃) = C₂xC₉:C₂₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.15(C3xDic3)	432,142
C₁₂.₁₆(C₃xDic₃) = C₄xC₉:C₁₂	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.16(C3xDic3)	432,144
C₁₂.₁₇(C₃xDic₃) = C₃xC₂₄.S₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.17(C3xDic3)	432,230
C₁₂.₁₈(C₃xDic₃) = C₆xC₃²:₄C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.18(C3xDic3)	432,485
C₁₂.₁₉(C₃xDic₃) = C₉xC₄.Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72	2	C12.19(C3xDic3)	432,127
C₁₂.₂₀(C₃xDic₃) = C₉xC₄:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	144		C12.20(C3xDic3)	432,133
C₁₂.₂₁(C₃xDic₃) = C₃²xC₄.Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₁₂	72		C12.21(C3xDic3)	432,470
C₁₂.₂₂(C₃xDic₃) = C₉xC₃:C₁₆	central extension (φ=1)	144	2	C12.22(C3xDic3)	432,29
C₁₂.₂₃(C₃xDic₃) = C₁₈xC₃:C₈	central extension (φ=1)	144		C12.23(C3xDic3)	432,126
C₁₂.₂₄(C₃xDic₃) = Dic₃xC₃₆	central extension (φ=1)	144		C12.24(C3xDic3)	432,131
C₁₂.₂₅(C₃xDic₃) = C₃²xC₃:C₁₆	central extension (φ=1)	144		C12.25(C3xDic3)	432,229
C₁₂.₂₆(C₃xDic₃) = C₃xC₆xC₃:C₈	central extension (φ=1)	144		C12.26(C3xDic3)	432,469

Extensions 1→N→G→Q→1 with N=C12 and Q=C3xDic3

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xDic₃