Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₆

Direct product G=N×Q with N=C₁₂ and Q=Dic₆

		d	ρ	Label	ID
C₁₂×Dic₆		96		C12xDic6	288,639

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊₁Dic₆ = C₁₂⋊Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12:1Dic6	288,567
C₁₂⋊₂Dic₆ = C₁₂⋊₂Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12:2Dic6	288,745
C₁₂⋊₃Dic₆ = C₁₂⋊₃Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12:3Dic6	288,566
C₁₂⋊₄Dic₆ = C₄×C₃²⋊₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12:4Dic6	288,565
C₁₂⋊₅Dic₆ = C₃×C₁₂⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12:5Dic6	288,659
C₁₂⋊₆Dic₆ = C₁₂⋊₆Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12:6Dic6	288,726
C₁₂⋊₇Dic₆ = C₄×C₃²⋊₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12:7Dic6	288,725
C₁₂⋊₈Dic₆ = C₃×C₁₂⋊₂Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12:8Dic6	288,640

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₁₂.₁Dic₆ = C₃₆.Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.1Dic6	288,14
C₁₂.₂Dic₆ = C₄.Dic₁₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.2Dic6	288,15
C₁₂.₃Dic₆ = C₃₆⋊Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.3Dic6	288,98
C₁₂.₄Dic₆ = C₃₆.₃Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.4Dic6	288,100
C₁₂.₅Dic₆ = C₁₂.Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.5Dic6	288,221
C₁₂.₆Dic₆ = C₁₂.₆Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.6Dic6	288,222
C₁₂.₇Dic₆ = C₆.₁₈D₂₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.7Dic6	288,223
C₁₂.₈Dic₆ = C₁₂.₈Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.8Dic6	288,224
C₁₂.₉Dic₆ = C₁₂.₉Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.9Dic6	288,282
C₁₂.₁₀Dic₆ = C₁₂.₁₀Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.10Dic6	288,283
C₁₂.₁₁Dic₆ = C₆².₃₉C₂³	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.11Dic6	288,517
C₁₂.₁₂Dic₆ = C₆².₄₂C₂³	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	96	C12.12Dic6	288,520
C₁₂.₁₃Dic₆ = C₆².₂₃₄C₂³	φ: Dic₆/C₆ → C₂² ⊆ Aut C₁₂	288	C12.13Dic6	288,747
C₁₂.₁₄Dic₆ = C₁₂.₈₁D₁₂	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12.14Dic6	288,219
C₁₂.₁₅Dic₆ = C₁₂.₁₅Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12.15Dic6	288,220
C₁₂.₁₆Dic₆ = C₃×C₆.Q₁₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12.16Dic6	288,241
C₁₂.₁₇Dic₆ = C₃×C₁₂.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12.17Dic6	288,242
C₁₂.₁₈Dic₆ = C₃×C₄.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₂	96	C12.18Dic6	288,661
C₁₂.₁₉Dic₆ = C₈⋊Dic₉	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.19Dic6	288,25
C₁₂.₂₀Dic₆ = C₇₂⋊₁C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.20Dic6	288,26
C₁₂.₂₁Dic₆ = C₃₆⋊₂Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.21Dic6	288,79
C₁₂.₂₂Dic₆ = C₃₆.₆Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.22Dic6	288,80
C₁₂.₂₃Dic₆ = C₂₄⋊₂Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.23Dic6	288,292
C₁₂.₂₄Dic₆ = C₂₄⋊₁Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.24Dic6	288,293
C₁₂.₂₅Dic₆ = C₁₂.₂₅Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.25Dic6	288,727
C₁₂.₂₆Dic₆ = C₃₆⋊C₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.26Dic6	288,11
C₁₂.₂₇Dic₆ = Dic₉⋊C₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.27Dic6	288,22
C₁₂.₂₈Dic₆ = C₄×Dic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.28Dic6	288,78
C₁₂.₂₉Dic₆ = C₁₂.₅₇D₁₂	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.29Dic6	288,279
C₁₂.₃₀Dic₆ = C₁₂.₃₀Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	288	C12.30Dic6	288,289
C₁₂.₃₁Dic₆ = C₃×C₈⋊Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12.31Dic6	288,251
C₁₂.₃₂Dic₆ = C₃×C₂₄⋊₁C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12.32Dic6	288,252
C₁₂.₃₃Dic₆ = C₃×C₁₂.₆Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12.33Dic6	288,641
C₁₂.₃₄Dic₆ = C₃×C₁₂⋊C₈	central extension (φ=1)	96	C12.34Dic6	288,238
C₁₂.₃₅Dic₆ = C₃×Dic₃⋊C₈	central extension (φ=1)	96	C12.35Dic6	288,248

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Extensions 1→N→G→Q→1 with N=C12 and Q=Dic6

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₆