Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₂

Direct product G=N×Q with N=C₈ and Q=D₁₂

		d	ρ	Label	ID
C₈×D₁₂		96		C8xD12	192,245

Semidirect products G=N:Q with N=C₈ and Q=D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁D₁₂ = C₈⋊D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96	C8:1D12	192,271
C₈⋊₂D₁₂ = C₂₄⋊₇D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96	C8:2D12	192,424
C₈⋊₃D₁₂ = C₈⋊₃D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96	C8:3D12	192,445
C₈⋊₄D₁₂ = C₁₂⋊₄D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	C8:4D12	192,254
C₈⋊₅D₁₂ = C₈⋊₅D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	C8:5D12	192,252
C₈⋊₆D₁₂ = C₈⋊₆D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	C8:6D12	192,247
C₈⋊₇D₁₂ = D₆⋊₂D₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	C8:7D12	192,442
C₈⋊₈D₁₂ = C₈⋊₈D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	C8:8D12	192,423
C₈⋊₉D₁₂ = C₈⋊₉D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	C8:9D12	192,265

Non-split extensions G=N.Q with N=C₈ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₁₂ = C₈.D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96		C8.1D12	192,274
C₈.₂D₁₂ = C₈.₂D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96		C8.2D12	192,426
C₈.₃D₁₂ = C₁₆⋊D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	48	4+	C8.3D12	192,467
C₈.₄D₁₂ = C₁₆.D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₈	96	4-	C8.4D12	192,468
C₈.₅D₁₂ = D₉₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	2+	C8.5D12	192,7
C₈.₆D₁₂ = C₃₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.6D12	192,8
C₈.₇D₁₂ = Dic₄₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	192	2-	C8.7D12	192,9
C₈.₈D₁₂ = C₈.₈D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96		C8.8D12	192,255
C₈.₉D₁₂ = C₁₂⋊₄Q₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	192		C8.9D12	192,258
C₈.₁₀D₁₂ = C₂×D₄₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96		C8.10D12	192,461
C₈.₁₁D₁₂ = C₂×C₄₈⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96		C8.11D12	192,462
C₈.₁₂D₁₂ = C₂×Dic₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	192		C8.12D12	192,464
C₈.₁₃D₁₂ = D₄₈⋊₇C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.13D12	192,463
C₈.₁₄D₁₂ = D₂₄⋊₁₁C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₈	48	2	C8.14D12	192,259
C₈.₁₅D₁₂ = C₆.D₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96		C8.15D12	192,50
C₈.₁₆D₁₂ = C₆.Q₃₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	192		C8.16D12	192,51
C₈.₁₇D₁₂ = D₂₄.C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4+	C8.17D12	192,54
C₈.₁₈D₁₂ = C₂₄.₈D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	4-	C8.18D12	192,55
C₈.₁₉D₁₂ = D₆⋊₂Q₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96		C8.19D12	192,446
C₈.₂₀D₁₂ = C₂₄.₁₈D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	4-	C8.20D12	192,455
C₈.₂₁D₁₂ = C₂₄.₁₉D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4+	C8.21D12	192,456
C₈.₂₂D₁₂ = D₂₄⋊₈C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4	C8.22D12	192,47
C₈.₂₃D₁₂ = Dic₁₂.C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	4	C8.23D12	192,56
C₈.₂₄D₁₂ = C₂₄.₄₂D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4	C8.24D12	192,457
C₈.₂₅D₁₂ = C₈.₂₅D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4	C8.25D12	192,73
C₈.₂₆D₁₂ = Dic₆.C₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	96	4	C8.26D12	192,74
C₈.₂₇D₁₂ = D₂₄⋊₄C₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₈	48	4	C8.27D12	192,276
C₈.₂₈D₁₂ = C₁₂⋊C₁₆	central extension (φ=1)	192		C8.28D12	192,21
C₈.₂₉D₁₂ = C₂₄.₁C₈	central extension (φ=1)	48	2	C8.29D12	192,22
C₈.₃₀D₁₂ = D₆⋊C₁₆	central extension (φ=1)	96		C8.30D12	192,66
C₈.₃₁D₁₂ = D₁₂.C₈	central extension (φ=1)	96	2	C8.31D12	192,67

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Extensions 1→N→G→Q→1 with N=C8 and Q=D12

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₂