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
D₇×C₂²×C₈		224		D7xC2^2xC8	448,1189

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⋊D₄⋊C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224		C2^2:1(C8xD7)	448,259
C₂²⋊₂(C₈×D₇) = C₈×C₇⋊D₄	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:2(C8xD7)	448,643
C₂²⋊₃(C₈×D₇) = D₇×C₂²⋊C₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2:3(C8xD7)	448,258

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) = C₁₆.₁₂D₁₄	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₂²	224	4	C2^2.1(C8xD7)	448,441
C₂².₂(C₈×D₇) = D₂₈.₄C₈	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.2(C8xD7)	448,435
C₂².₃(C₈×D₇) = (C₂²×D₇)⋊C₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2.3(C8xD7)	448,25
C₂².₄(C₈×D₇) = (C₂×Dic₇)⋊C₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.4(C8xD7)	448,26
C₂².₅(C₈×D₇) = M₅(2)⋊D₇	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.5(C8xD7)	448,71
C₂².₆(C₈×D₇) = Dic₇.₅M₄(2)	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.6(C8xD7)	448,252
C₂².₇(C₈×D₇) = D₇×M₅(2)	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.7(C8xD7)	448,440
C₂².₈(C₈×D₇) = C₁₆×Dic₇	central extension (φ=1)	448		C2^2.8(C8xD7)	448,57
C₂².₉(C₈×D₇) = Dic₇⋊C₁₆	central extension (φ=1)	448		C2^2.9(C8xD7)	448,58
C₂².₁₀(C₈×D₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		C2^2.10(C8xD7)	448,59
C₂².₁₁(C₈×D₇) = D₁₄⋊C₁₆	central extension (φ=1)	224		C2^2.11(C8xD7)	448,64
C₂².₁₂(C₈×D₇) = (C₂×C₅₆)⋊₅C₄	central extension (φ=1)	448		C2^2.12(C8xD7)	448,107
C₂².₁₃(C₈×D₇) = D₇×C₂×C₁₆	central extension (φ=1)	224		C2^2.13(C8xD7)	448,433
C₂².₁₄(C₈×D₇) = C₂×C₁₆⋊D₇	central extension (φ=1)	224		C2^2.14(C8xD7)	448,434
C₂².₁₅(C₈×D₇) = C₂×C₈×Dic₇	central extension (φ=1)	448		C2^2.15(C8xD7)	448,632
C₂².₁₆(C₈×D₇) = C₂×Dic₇⋊C₈	central extension (φ=1)	448		C2^2.16(C8xD7)	448,633
C₂².₁₇(C₈×D₇) = C₂×D₁₄⋊C₈	central extension (φ=1)	224		C2^2.17(C8xD7)	448,642

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