Extensions 1→N→G→Q→1 with N=C₂×D₅₆ and Q=C₂

Direct product G=N×Q with N=C₂×D₅₆ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅₆		224		C2^2xD56	448,1193

Semidirect products G=N:Q with N=C₂×D₅₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅₆)⋊₁C₂ = C₂₈⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):1C2	448,229
(C₂×D₅₆)⋊₂C₂ = D₂₈⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112		(C2xD56):2C2	448,266
(C₂×D₅₆)⋊₃C₂ = D₂₈⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):3C2	448,268
(C₂×D₅₆)⋊₄C₂ = D₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112		(C2xD56):4C2	448,307
(C₂×D₅₆)⋊₅C₂ = D₂₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):5C2	448,320
(C₂×D₅₆)⋊₆C₂ = D₂₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):6C2	448,345
(C₂×D₅₆)⋊₇C₂ = C₄⋊D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):7C2	448,377
(C₂×D₅₆)⋊₈C₂ = C₂×D₁₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):8C2	448,436
(C₂×D₅₆)⋊₉C₂ = C₅₆⋊₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):9C2	448,649
(C₂×D₅₆)⋊₁₀C₂ = C₈⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):10C2	448,246
(C₂×D₅₆)⋊₁₁C₂ = C₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):11C2	448,442
(C₂×D₅₆)⋊₁₂C₂ = C₅₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):12C2	448,669
(C₂×D₅₆)⋊₁₃C₂ = D₄.₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):13C2	448,676
(C₂×D₅₆)⋊₁₄C₂ = C₂×C₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112		(C2xD56):14C2	448,1199
(C₂×D₅₆)⋊₁₅C₂ = D₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):15C2	448,1205
(C₂×D₅₆)⋊₁₆C₂ = C₈⋊₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):16C2	448,417
(C₂×D₅₆)⋊₁₇C₂ = C₂×C₇⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):17C2	448,680
(C₂×D₅₆)⋊₁₈C₂ = C₅₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):18C2	448,685
(C₂×D₅₆)⋊₁₉C₂ = C₂×D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112		(C2xD56):19C2	448,1207
(C₂×D₅₆)⋊₂₀C₂ = C₂×Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):20C2	448,1218
(C₂×D₅₆)⋊₂₁C₂ = C₈.₂₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):21C2	448,431
(C₂×D₅₆)⋊₂₂C₂ = Q₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):22C2	448,727
(C₂×D₅₆)⋊₂₃C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56):23C2	448,1222
(C₂×D₅₆)⋊₂₄C₂ = C₅₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):24C2	448,399
(C₂×D₅₆)⋊₂₅C₂ = C₅₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56):25C2	448,710
(C₂×D₅₆)⋊₂₆C₂ = C₂×D₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112		(C2xD56):26C2	448,1212
(C₂×D₅₆)⋊₂₇C₂ = C₂×D₅₆⋊₇C₂	φ: trivial image	224		(C2xD56):27C2	448,1194

Non-split extensions G=N.Q with N=C₂×D₅₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₅₆).₁C₂ = C₂.D₁₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).1C2	448,66
(C₂×D₅₆).₂C₂ = C₈.₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).2C2	448,230
(C₂×D₅₆).₃C₂ = D₂₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).3C2	448,353
(C₂×D₅₆).₄C₂ = D₂₈.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).4C2	448,378
(C₂×D₅₆).₅C₂ = C₂×C₁₁₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).5C2	448,437
(C₂×D₅₆).₆C₂ = C₂₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56).6C2	448,73
(C₂×D₅₆).₇C₂ = D₅₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).7C2	448,245
(C₂×D₅₆).₈C₂ = C₁₄.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).8C2	448,48
(C₂×D₅₆).₉C₂ = Dic₇⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).9C2	448,406
(C₂×D₅₆).₁₀C₂ = C₂×C₇⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).10C2	448,712
(C₂×D₅₆).₁₁C₂ = C₅₆.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).11C2	448,725
(C₂×D₅₆).₁₂C₂ = D₅₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	112	4+	(C2xD56).12C2	448,52
(C₂×D₅₆).₁₃C₂ = D₅₆⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₅₆	224		(C2xD56).13C2	448,403
(C₂×D₅₆).₁₄C₂ = C₄×D₅₆	φ: trivial image	224		(C2xD56).14C2	448,226

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Extensions 1→N→G→Q→1 with N=C2×D56 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×D₅₆ and Q=C₂