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

Direct product G=NxQ with N=C₇:C₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₇: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 = D₇xD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	112	4+	C7:C16:5C2^2	448,444
C₇:C₁₆:₆C₂² = D₇xSD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	112	4	C7:C16:6C2^2	448,447
C₇:C₁₆:₇C₂² = C₂xC₇:D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	224		C7:C16:7C2^2	448,680
C₇:C₁₆:₈C₂² = C₂xD₈.D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	224		C7:C16:8C2^2	448,682
C₇:C₁₆:₉C₂² = C₂xC₇:SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	224		C7:C16:9C2^2	448,712
C₇:C₁₆:₁₀C₂² = C₂xC₁₆:D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	224		C7:C16:10C2^2	448,434
C₇:C₁₆:₁₁C₂² = D₇xM₅(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	112	4	C7:C16:11C2^2	448,440
C₇:C₁₆:₁₂C₂² = C₂xC₂₈.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇:C₁₆	224		C7:C16:12C2^2	448,631
C₇:C₁₆:₁₃C₂² = D₇xC₂xC₁₆	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 = D₇xQ₃₂	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 = C₂xC₇: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

׿

x

:

Z

F

o

wr

Q

<