Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈⋊D₇

Direct product G=N×Q with N=C₂² and Q=C₈⋊D₇

		d	ρ	Label	ID
C₂²×C₈⋊D₇		224		C2^2xC8:D7	448,1190

Semidirect products G=N:Q with N=C₂² and Q=C₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₈⋊D₇) = C₇⋊C₈⋊₂₆D₄	φ: C₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(C8:D7)	448,264
C₂²⋊₂(C₈⋊D₇) = C₅₆⋊₃₂D₄	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:2(C8:D7)	448,645
C₂²⋊₃(C₈⋊D₇) = D₁₄⋊M₄(2)	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2:3(C8:D7)	448,260

Non-split extensions G=N.Q with N=C₂² and Q=C₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈⋊D₇) = Dic₁₄.C₈	φ: C₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(C8:D7)	448,72
C₂².₂(C₈⋊D₇) = D₂₈.C₈	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.2(C8:D7)	448,65
C₂².₃(C₈⋊D₇) = (C₂²×D₇)⋊C₈	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2.3(C8:D7)	448,25
C₂².₄(C₈⋊D₇) = (C₂×Dic₇)⋊C₈	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.4(C8:D7)	448,26
C₂².₅(C₈⋊D₇) = C₅₆.₉Q₈	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.5(C8:D7)	448,68
C₂².₆(C₈⋊D₇) = C₁₁₂⋊C₄	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.6(C8:D7)	448,69
C₂².₇(C₈⋊D₇) = Dic₇.M₄(2)	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.7(C8:D7)	448,253
C₂².₈(C₈⋊D₇) = (C₂×C₅₆)⋊₅C₄	central extension (φ=1)	448		C2^2.8(C8:D7)	448,107
C₂².₉(C₈⋊D₇) = C₂×Dic₇⋊C₈	central extension (φ=1)	448		C2^2.9(C8:D7)	448,633
C₂².₁₀(C₈⋊D₇) = C₂×C₅₆⋊C₄	central extension (φ=1)	448		C2^2.10(C8:D7)	448,634
C₂².₁₁(C₈⋊D₇) = C₂×D₁₄⋊C₈	central extension (φ=1)	224		C2^2.11(C8:D7)	448,642

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