Extensions 1→N→G→Q→1 with N=C₇⋊C₁₆ and Q=C₂²

Direct product G=N×Q with N=C₇⋊C₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₇⋊C₁₆		448		C2^2xC7:C16	448,630

Semidirect products G=N:Q with N=C₇⋊C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆⋊₁C₂² = D₈⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	112	4	C7:C16:1C2^2	448,445
C₇⋊C₁₆⋊₂C₂² = D₁₁₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	112	4+	C7:C16:2C2^2	448,448
C₇⋊C₁₆⋊₃C₂² = D₈.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	112	4	C7:C16:3C2^2	448,681
C₇⋊C₁₆⋊₄C₂² = Q₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	112	4+	C7:C16:4C2^2	448,727
C₇⋊C₁₆⋊₅C₂² = D₇×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	112	4+	C7:C16:5C2^2	448,444
C₇⋊C₁₆⋊₆C₂² = D₇×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:6C2^2	448,447
C₇⋊C₁₆⋊₇C₂² = C₂×C₇⋊D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224		C7:C16:7C2^2	448,680
C₇⋊C₁₆⋊₈C₂² = C₂×D₈.D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224		C7:C16:8C2^2	448,682
C₇⋊C₁₆⋊₉C₂² = C₂×C₇⋊SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224		C7:C16:9C2^2	448,712
C₇⋊C₁₆⋊₁₀C₂² = C₂×C₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224		C7:C16:10C2^2	448,434
C₇⋊C₁₆⋊₁₁C₂² = D₇×M₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:11C2^2	448,440
C₇⋊C₁₆⋊₁₂C₂² = C₂×C₂₈.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224		C7:C16:12C2^2	448,631
C₇⋊C₁₆⋊₁₃C₂² = D₇×C₂×C₁₆	φ: trivial image	224		C7:C16:13C2^2	448,433

Non-split extensions G=N.Q with N=C₇⋊C₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆.₁C₂² = SD₃₂⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	224	4-	C7:C16.1C2^2	448,449
C₇⋊C₁₆.₂C₂² = Q₃₂⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	224	4	C7:C16.2C2^2	448,452
C₇⋊C₁₆.₃C₂² = Q₁₆.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	224	4	C7:C16.3C2^2	448,713
C₇⋊C₁₆.₄C₂² = C₅₆.₃₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇⋊C₁₆	224	4-	C7:C16.4C2^2	448,729
C₇⋊C₁₆.₅C₂² = D₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4-	C7:C16.5C2^2	448,446
C₇⋊C₁₆.₆C₂² = SD₃₂⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4	C7:C16.6C2^2	448,450
C₇⋊C₁₆.₇C₂² = D₇×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4-	C7:C16.7C2^2	448,451
C₇⋊C₁₆.₈C₂² = Q₃₂⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4+	C7:C16.8C2^2	448,453
C₇⋊C₁₆.₉C₂² = C₂×C₇⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	448		C7:C16.9C2^2	448,714
C₇⋊C₁₆.₁₀C₂² = C₅₆.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4	C7:C16.10C2^2	448,728
C₇⋊C₁₆.₁₁C₂² = D₂₈.₄C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	2	C7:C16.11C2^2	448,435
C₇⋊C₁₆.₁₂C₂² = C₅₆.₇₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4	C7:C16.12C2^2	448,674
C₇⋊C₁₆.₁₃C₂² = C₁₆.₁₂D₁₄	φ: trivial image	224	4	C7:C16.13C2^2	448,441

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