Extensions 1→N→G→Q→1 with N=C₁₂ and Q=M₄(2)

Direct product G=N×Q with N=C₁₂ and Q=M₄(2)

		d	ρ	Label	ID
C₁₂×M₄(2)		96		C12xM4(2)	192,837

Semidirect products G=N:Q with N=C₁₂ and Q=M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊₁M₄(2) = C₁₂⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96	C12:1M4(2)	192,396
C₁₂⋊₂M₄(2) = C₁₂⋊₂M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96	C12:2M4(2)	192,397
C₁₂⋊₃M₄(2) = C₁₂⋊₃M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96	C12:3M4(2)	192,571
C₁₂⋊₄M₄(2) = C₈⋊₆D₁₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96	C12:4M4(2)	192,247
C₁₂⋊₅M₄(2) = C₄×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96	C12:5M4(2)	192,246
C₁₂⋊₆M₄(2) = C₃×C₈⋊₆D₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96	C12:6M4(2)	192,869
C₁₂⋊₇M₄(2) = C₁₂⋊₇M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96	C12:7M4(2)	192,483
C₁₂⋊₈M₄(2) = C₄×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96	C12:8M4(2)	192,481
C₁₂⋊₉M₄(2) = C₃×C₄⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96	C12:9M4(2)	192,856

Non-split extensions G=N.Q with N=C₁₂ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁M₄(2) = C₁₂.₅₃D₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.1M4(2)	192,38
C₁₂.₂M₄(2) = C₁₂.₃₉SD₁₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.2M4(2)	192,39
C₁₂.₃M₄(2) = D₁₂⋊₂C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96		C12.3M4(2)	192,42
C₁₂.₄M₄(2) = Dic₆⋊₂C₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.4M4(2)	192,43
C₁₂.₅M₄(2) = C₄₈⋊C₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	48	4	C12.5M4(2)	192,71
C₁₂.₆M₄(2) = C₈.₂₅D₁₂	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	48	4	C12.6M4(2)	192,73
C₁₂.₇M₄(2) = C₁₂.₅₇D₈	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96		C12.7M4(2)	192,93
C₁₂.₈M₄(2) = C₁₂.₂₆Q₁₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.8M4(2)	192,94
C₁₂.₉M₄(2) = C₄².₁₉₈D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.9M4(2)	192,390
C₁₂.₁₀M₄(2) = C₄².₂₀₂D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	96		C12.10M4(2)	192,394
C₁₂.₁₁M₄(2) = C₄².₂₁₀D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₁₂	192		C12.11M4(2)	192,583
C₁₂.₁₂M₄(2) = C₄.₈Dic₁₂	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.12M4(2)	192,15
C₁₂.₁₃M₄(2) = C₄.₁₇D₂₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96		C12.13M4(2)	192,18
C₁₂.₁₄M₄(2) = C₂₄⋊₁₂Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.14M4(2)	192,238
C₁₂.₁₅M₄(2) = C₂₄⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.15M4(2)	192,14
C₁₂.₁₆M₄(2) = Dic₃⋊C₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.16M4(2)	192,60
C₁₂.₁₇M₄(2) = D₆⋊C₁₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96		C12.17M4(2)	192,66
C₁₂.₁₈M₄(2) = C₄².₂₈₂D₆	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96		C12.18M4(2)	192,244
C₁₂.₁₉M₄(2) = C₃×D₄⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	96		C12.19M4(2)	192,131
C₁₂.₂₀M₄(2) = C₃×Q₈⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.20M4(2)	192,132
C₁₂.₂₁M₄(2) = C₃×C₈⋊₄Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₂	192		C12.21M4(2)	192,879
C₁₂.₂₂M₄(2) = C₂₄⋊₂C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.22M4(2)	192,16
C₁₂.₂₃M₄(2) = C₂₄⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.23M4(2)	192,17
C₁₂.₂₄M₄(2) = C₁₂.₁₅C₄²	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.24M4(2)	192,25
C₁₂.₂₅M₄(2) = C₂₄.D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.25M4(2)	192,112
C₁₂.₂₆M₄(2) = C₄².₂₇₀D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.26M4(2)	192,485
C₁₂.₂₇M₄(2) = C₄².₂₇₉D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.27M4(2)	192,13
C₁₂.₂₈M₄(2) = C₁₂⋊C₁₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.28M4(2)	192,21
C₁₂.₂₉M₄(2) = C₂₄.₉₈D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.29M4(2)	192,108
C₁₂.₃₀M₄(2) = C₄².₂₈₅D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.30M4(2)	192,484
C₁₂.₃₁M₄(2) = C₃×C₈⋊₂C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.31M4(2)	192,140
C₁₂.₃₂M₄(2) = C₃×C₈⋊₁C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	192		C12.32M4(2)	192,141
C₁₂.₃₃M₄(2) = C₃×C₁₆⋊C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.33M4(2)	192,153
C₁₂.₃₄M₄(2) = C₃×C₂³.C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	48	4	C12.34M4(2)	192,155
C₁₂.₃₅M₄(2) = C₃×C₄².₆C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₂	96		C12.35M4(2)	192,865
C₁₂.₃₆M₄(2) = C₃×C₈⋊C₈	central extension (φ=1)	192		C12.36M4(2)	192,128
C₁₂.₃₇M₄(2) = C₃×C₂²⋊C₁₆	central extension (φ=1)	96		C12.37M4(2)	192,154
C₁₂.₃₈M₄(2) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C12.38M4(2)	192,169
C₁₂.₃₉M₄(2) = C₃×C₄².₁₂C₄	central extension (φ=1)	96		C12.39M4(2)	192,864

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Extensions 1→N→G→Q→1 with N=C12 and Q=M4(2)

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=M₄(2)