Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₆

Direct product G=N×Q with N=C₁₆ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₁₆		96		S3xC2xC16	192,458

Semidirect products G=N:Q with N=C₁₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁D₆ = C₁₆⋊D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	48	4+	C16:1D6	192,467
C₁₆⋊₂D₆ = D₈⋊D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	48	4	C16:2D6	192,470
C₁₆⋊₃D₆ = D₄₈⋊C₂	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	48	4+	C16:3D6	192,473
C₁₆⋊₄D₆ = S₃×D₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	48	4+	C16:4D6	192,469
C₁₆⋊₅D₆ = S₃×SD₃₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	48	4	C16:5D6	192,472
C₁₆⋊₆D₆ = S₃×M₅(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	48	4	C16:6D6	192,465
C₁₆⋊₇D₆ = C₂×D₄₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96		C16:7D6	192,461
C₁₆⋊₈D₆ = C₂×C₄₈⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96		C16:8D6	192,462
C₁₆⋊₉D₆ = C₂×D₆.C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96		C16:9D6	192,459

Non-split extensions G=N.Q with N=C₁₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁D₆ = C₁₆.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	96	4-	C16.1D6	192,468
C₁₆.₂D₆ = SD₃₂⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	96	4-	C16.2D6	192,474
C₁₆.₃D₆ = Q₃₂⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₁₆	96	4	C16.3D6	192,477
C₁₆.₄D₆ = C₃⋊D₃₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4+	C16.4D6	192,78
C₁₆.₅D₆ = D₁₆.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4-	C16.5D6	192,79
C₁₆.₆D₆ = C₃⋊SD₆₄	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4+	C16.6D6	192,80
C₁₆.₇D₆ = C₃⋊Q₆₄	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	192	4-	C16.7D6	192,81
C₁₆.₈D₆ = D₁₆⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4-	C16.8D6	192,471
C₁₆.₉D₆ = S₃×Q₃₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4-	C16.9D6	192,476
C₁₆.₁₀D₆ = D₄₈⋊₅C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4+	C16.10D6	192,478
C₁₆.₁₁D₆ = D₆.₂D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4	C16.11D6	192,475
C₁₆.₁₂D₆ = C₁₆.₁₂D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₁₆	96	4	C16.12D6	192,466
C₁₆.₁₃D₆ = D₉₆	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96	2+	C16.13D6	192,7
C₁₆.₁₄D₆ = C₃₂⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.14D6	192,8
C₁₆.₁₅D₆ = Dic₄₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	192	2-	C16.15D6	192,9
C₁₆.₁₆D₆ = D₄₈⋊₇C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.16D6	192,463
C₁₆.₁₇D₆ = C₂×Dic₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	192		C16.17D6	192,464
C₁₆.₁₈D₆ = D₁₂.₄C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₆	96	2	C16.18D6	192,460
C₁₆.₁₉D₆ = S₃×C₃₂	central extension (φ=1)	96	2	C16.19D6	192,5
C₁₆.₂₀D₆ = C₉₆⋊C₂	central extension (φ=1)	96	2	C16.20D6	192,6
C₁₆.₂₁D₆ = C₂×C₃⋊C₃₂	central extension (φ=1)	192		C16.21D6	192,57
C₁₆.₂₂D₆ = C₃⋊M₆(2)	central extension (φ=1)	96	2	C16.22D6	192,58

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Extensions 1→N→G→Q→1 with N=C16 and Q=D6

Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₆