Extensions 1→N→G→Q→1 with N=C₂₈⋊₄D₄ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊₄D₄		224		C2xC28:4D4	448,928

Semidirect products G=N:Q with N=C₂₈⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈⋊₄D₄⋊₁C₂ = C₂₈⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:1C2	448,229
C₂₈⋊₄D₄⋊₂C₂ = C₈⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:2C2	448,246
C₂₈⋊₄D₄⋊₃C₂ = C₄²⋊₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	112		C28:4D4:3C2	448,978
C₂₈⋊₄D₄⋊₄C₂ = C₄².₁₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:4C2	448,988
C₂₈⋊₄D₄⋊₅C₂ = C₄²⋊₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	112		C28:4D4:5C2	448,1164
C₂₈⋊₄D₄⋊₆C₂ = D₄⋊₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	56	4+	C28:4D4:6C2	448,356
C₂₈⋊₄D₄⋊₇C₂ = C₄⋊D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:7C2	448,377
C₂₈⋊₄D₄⋊₈C₂ = C₂₈⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:8C2	448,549
C₂₈⋊₄D₄⋊₉C₂ = C₄².₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:9C2	448,592
C₂₈⋊₄D₄⋊₁₀C₂ = C₂₈⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:10C2	448,607
C₂₈⋊₄D₄⋊₁₁C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	112		C28:4D4:11C2	448,1002
C₂₈⋊₄D₄⋊₁₂C₂ = Dic₁₄⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:12C2	448,1006
C₂₈⋊₄D₄⋊₁₃C₂ = Q₈⋊₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:13C2	448,1030
C₂₈⋊₄D₄⋊₁₄C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	112		C28:4D4:14C2	448,1127
C₂₈⋊₄D₄⋊₁₅C₂ = C₄².₁₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:15C2	448,1151
C₂₈⋊₄D₄⋊₁₆C₂ = D₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	112		C28:4D4:16C2	448,1167
C₂₈⋊₄D₄⋊₁₇C₂ = C₄².₂₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4:17C2	448,1178
C₂₈⋊₄D₄⋊₁₈C₂ = C₄².₂₇₆D₁₄	φ: trivial image	224		C28:4D4:18C2	448,930

Non-split extensions G=N.Q with N=C₂₈⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈⋊₄D₄.₁C₂ = C₈⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.1C2	448,227
C₂₈⋊₄D₄.₂C₂ = C₄.₅D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.2C2	448,228
C₂₈⋊₄D₄.₃C₂ = C₄².₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.3C2	448,247
C₂₈⋊₄D₄.₄C₂ = C₄.D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.4C2	448,42
C₂₈⋊₄D₄.₅C₂ = Dic₁₄⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.5C2	448,382
C₂₈⋊₄D₄.₆C₂ = Q₈⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.6C2	448,561
C₂₈⋊₄D₄.₇C₂ = C₄².₇₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.7C2	448,601
C₂₈⋊₄D₄.₈C₂ = C₂₈⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.8C2	448,619
C₂₈⋊₄D₄.₉C₂ = C₂₈.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.9C2	448,622
C₂₈⋊₄D₄.₁₀C₂ = C₄².₁₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₄D₄	224		C28:4D4.10C2	448,1038

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