Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₂

Direct product G=N×Q with N=C₂³ and Q=D₁₂

		d	ρ	Label	ID
C₂³×D₁₂		96		C2^3xD12	192,1512

Semidirect products G=N:Q with N=C₂³ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₁₂ = C₂³⋊D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	24	8+	C2^3:D12	192,300
C₂³⋊₂D₁₂ = C₂×C₄⋊S₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	24		C2^3:2D12	192,1470
C₂³⋊₃D₁₂ = C₂³⋊₃D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3:3D12	192,519
C₂³⋊₄D₁₂ = C₂³⋊₄D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48		C2^3:4D12	192,1052
C₂³⋊₅D₁₂ = C₂×C₁₂⋊₇D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3:5D12	192,1349
C₂³⋊₆D₁₂ = C₂×D₆⋊D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3:6D12	192,1046

Non-split extensions G=N.Q with N=C₂³ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₁₂ = C₂³.D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	48	8-	C2^3.1D12	192,32
C₂³.₂D₁₂ = C₂³.₂D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	24	8+	C2^3.2D12	192,33
C₂³.₃D₁₂ = C₂³.₃D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	24	8+	C2^3.3D12	192,34
C₂³.₄D₁₂ = C₂³.₄D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	48	8-	C2^3.4D12	192,35
C₂³.₅D₁₂ = C₂³.₅D₁₂	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	48	8-	C2^3.5D12	192,301
C₂³.₆D₁₂ = M₄(2)⋊D₆	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	48	8-	C2^3.6D12	192,305
C₂³.₇D₁₂ = D₁₂⋊₁D₄	φ: D₁₂/C₃ → D₄ ⊆ Aut C₂³	24	8+	C2^3.7D12	192,306
C₂³.₈D₁₂ = A₄⋊Q₁₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	48	6-	C2^3.8D12	192,957
C₂³.₉D₁₂ = C₈⋊₂S₄	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	24	6	C2^3.9D12	192,960
C₂³.₁₀D₁₂ = A₄⋊D₈	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	24	6+	C2^3.10D12	192,961
C₂³.₁₁D₁₂ = C₂⁴.₄D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	48		C2^3.11D12	192,971
C₂³.₁₂D₁₂ = C₂⁴.₅D₆	φ: D₁₂/C₄ → S₃ ⊆ Aut C₂³	24		C2^3.12D12	192,972
C₂³.₁₃D₁₂ = C₂⁴.₁₂D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.13D12	192,85
C₂³.₁₄D₁₂ = C₁₂.₂₀C₄²	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.14D12	192,116
C₂³.₁₅D₁₂ = C₂³.₁₅D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.15D12	192,282
C₂³.₁₆D₁₂ = D₁₂.₃₂D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.16D12	192,292
C₂³.₁₇D₁₂ = D₁₂⋊₁₄D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.17D12	192,293
C₂³.₁₈D₁₂ = C₂³.₁₈D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.18D12	192,296
C₂³.₁₉D₁₂ = C₂⁴.₂₁D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.19D12	192,512
C₂³.₂₀D₁₂ = C₂×C₂³.₆D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.20D12	192,513
C₂³.₂₁D₁₂ = C₂⁴.₂₇D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.21D12	192,520
C₂³.₂₂D₁₂ = C₂₄⋊₂D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.22D12	192,693
C₂³.₂₃D₁₂ = C₂₄⋊₃D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.23D12	192,694
C₂³.₂₄D₁₂ = C₂₄.₄D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.24D12	192,696
C₂³.₂₅D₁₂ = M₄(2)⋊₂₄D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.25D12	192,698
C₂³.₂₆D₁₂ = C₂₄.₉C₂³	φ: D₁₂/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.26D12	192,1307
C₂³.₂₇D₁₂ = C₂³.₂₇D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.27D12	192,665
C₂³.₂₈D₁₂ = C₂³.₂₈D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.28D12	192,672
C₂³.₂₉D₁₂ = C₂₄⋊₃₀D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.29D12	192,673
C₂³.₃₀D₁₂ = C₂₄⋊₂₉D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.30D12	192,674
C₂³.₃₁D₁₂ = C₂₄.₈₂D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.31D12	192,675
C₂³.₃₂D₁₂ = C₂⁴.₇₅D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.32D12	192,771
C₂³.₃₃D₁₂ = C₂⁴.₇₆D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.33D12	192,772
C₂³.₃₄D₁₂ = C₂×C₄○D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.34D12	192,1300
C₂³.₃₅D₁₂ = C₂³.₃₅D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.35D12	192,26
C₂³.₃₆D₁₂ = C₂².₂D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.36D12	192,29
C₂³.₃₇D₁₂ = C₂⁴.₁₃D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.37D12	192,86
C₂³.₃₈D₁₂ = C₁₂.₃C₄²	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.38D12	192,114
C₂³.₃₉D₁₂ = C₂³.₃₉D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.39D12	192,280
C₂³.₄₀D₁₂ = C₂³.₄₀D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.40D12	192,281
C₂³.₄₁D₁₂ = D₁₂.₃₁D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.41D12	192,290
C₂³.₄₂D₁₂ = D₁₂⋊₁₃D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.42D12	192,291
C₂³.₄₃D₁₂ = C₂³.₄₃D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.43D12	192,294
C₂³.₄₄D₁₂ = C₂².D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.44D12	192,295
C₂³.₄₅D₁₂ = Dic₆⋊₁₄D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.45D12	192,297
C₂³.₄₆D₁₂ = Dic₆.₃₂D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.46D12	192,298
C₂³.₄₇D₁₂ = C₂⁴.₅₆D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.47D12	192,502
C₂³.₄₈D₁₂ = C₂⁴.₅₈D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.48D12	192,509
C₂³.₄₉D₁₂ = C₂⁴.₅₉D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.49D12	192,514
C₂³.₅₀D₁₂ = C₂⁴.₆₀D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.50D12	192,517
C₂³.₅₁D₁₂ = C₂³.₅₁D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.51D12	192,679
C₂³.₅₂D₁₂ = C₂³.₅₂D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.52D12	192,680
C₂³.₅₃D₁₂ = C₂³.₅₃D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.53D12	192,690
C₂³.₅₄D₁₂ = C₂³.₅₄D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.54D12	192,692
C₂³.₅₅D₁₂ = C₂×D₁₂⋊C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.55D12	192,697
C₂³.₅₆D₁₂ = C₂×C₂³.₂₁D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.56D12	192,1051
C₂³.₅₇D₁₂ = C₂×C₈⋊D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	48		C2^3.57D12	192,1305
C₂³.₅₈D₁₂ = C₂×C₈.D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₂³	96		C2^3.58D12	192,1306
C₂³.₅₉D₁₂ = C₁₂.₉C₄²	central extension (φ=1)	192		C2^3.59D12	192,110
C₂³.₆₀D₁₂ = C₂×C₂.Dic₁₂	central extension (φ=1)	192		C2^3.60D12	192,662
C₂³.₆₁D₁₂ = C₂×C₈⋊Dic₃	central extension (φ=1)	192		C2^3.61D12	192,663
C₂³.₆₂D₁₂ = C₂×C₂₄⋊₁C₄	central extension (φ=1)	192		C2^3.62D12	192,664
C₂³.₆₃D₁₂ = C₂×C₂.D₂₄	central extension (φ=1)	96		C2^3.63D12	192,671
C₂³.₆₄D₁₂ = C₂×C₆.C₄²	central extension (φ=1)	192		C2^3.64D12	192,767
C₂³.₆₅D₁₂ = C₂²×C₂₄⋊C₂	central extension (φ=1)	96		C2^3.65D12	192,1298
C₂³.₆₆D₁₂ = C₂²×D₂₄	central extension (φ=1)	96		C2^3.66D12	192,1299
C₂³.₆₇D₁₂ = C₂²×Dic₁₂	central extension (φ=1)	192		C2^3.67D12	192,1301
C₂³.₆₈D₁₂ = C₂²×C₄⋊Dic₃	central extension (φ=1)	192		C2^3.68D12	192,1344
C₂³.₆₉D₁₂ = C₂²×D₆⋊C₄	central extension (φ=1)	96		C2^3.69D12	192,1346

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Extensions 1→N→G→Q→1 with N=C23 and Q=D12

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₁₂