Extensions 1→N→G→Q→1 with N=C₄² and Q=Dic₇

Direct product G=N×Q with N=C₄² and Q=Dic₇

		d	ρ	Label	ID
C₄²×Dic₇		448		C4^2xDic7	448,464

Semidirect products G=N:Q with N=C₄² and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁Dic₇ = C₄²⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2:1Dic7	448,88
C₄²⋊₂Dic₇ = C₄²⋊₂Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2:2Dic7	448,98
C₄²⋊₃Dic₇ = C₄²⋊₃Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	56	4	C4^2:3Dic7	448,102
C₄²⋊₄Dic₇ = C₄²⋊₄Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:4Dic7	448,466
C₄²⋊₅Dic₇ = C₄²⋊₅Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:5Dic7	448,471
C₄²⋊₆Dic₇ = C₂₈.₈C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	112		C4^2:6Dic7	448,80
C₄²⋊₇Dic₇ = C₄×C₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:7Dic7	448,468
C₄²⋊₈Dic₇ = C₄²⋊₈Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:8Dic7	448,469
C₄²⋊₉Dic₇ = C₄²⋊₉Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2:9Dic7	448,470

Non-split extensions G=N.Q with N=C₄² and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁Dic₇ = C₂₈.₁₅C₄²	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.1Dic7	448,23
C₄².₂Dic₇ = C₄².Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.2Dic7	448,99
C₄².₃Dic₇ = C₄².₃Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₄²	112	4	C4^2.3Dic7	448,105
C₄².₄Dic₇ = C₅₆.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.4Dic7	448,18
C₄².₅Dic₇ = C₂×C₄².D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.5Dic7	448,455
C₄².₆Dic₇ = C₄².₆Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.6Dic7	448,459
C₄².₇Dic₇ = C₄².₇Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.7Dic7	448,460
C₄².₈Dic₇ = C₂₈⋊C₁₆	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.8Dic7	448,19
C₄².₉Dic₇ = C₅₆.₁₆Q₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	112	2	C4^2.9Dic7	448,20
C₄².₁₀Dic₇ = C₄×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.10Dic7	448,456
C₄².₁₁Dic₇ = C₂×C₂₈⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.11Dic7	448,457
C₄².₁₂Dic₇ = C₂₈⋊₇M₄(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.12Dic7	448,458
C₄².₁₃Dic₇ = C₄×C₇⋊C₁₆	central extension (φ=1)	448		C4^2.13Dic7	448,17
C₄².₁₄Dic₇ = C₂×C₄×C₇⋊C₈	central extension (φ=1)	448		C4^2.14Dic7	448,454

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