Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₆

Direct product G=N×Q with N=C₂₈ and Q=C₆

		d	ρ	Label	ID
C₂×C₈₄		168		C2xC84	168,39

Semidirect products G=N:Q with N=C₂₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁C₆ = C₄⋊F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	28	6+	C28:1C6	168,9
C₂₈⋊₂C₆ = C₄×F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	28	6	C28:2C6	168,8
C₂₈⋊₃C₆ = D₄×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	28	6	C28:3C6	168,20
C₂₈⋊₄C₆ = C₂×C₄×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂₈	56		C28:4C6	168,19
C₂₈⋊₅C₆ = C₃×D₂₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	84	2	C28:5C6	168,26
C₂₈⋊₆C₆ = C₁₂×D₇	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	84	2	C28:6C6	168,25
C₂₈⋊₇C₆ = D₄×C₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	84	2	C28:7C6	168,40

Non-split extensions G=N.Q with N=C₂₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₆ = C₄.F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	56	6-	C28.1C6	168,7
C₂₈.₂C₆ = C₇⋊C₂₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	56	6	C28.2C6	168,1
C₂₈.₃C₆ = Q₈×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₂₈	56	6	C28.3C6	168,21
C₂₈.₄C₆ = C₈×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₂₈	56	3	C28.4C6	168,2
C₂₈.₅C₆ = C₃×Dic₁₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	168	2	C28.5C6	168,24
C₂₈.₆C₆ = C₃×C₇⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	168	2	C28.6C6	168,4
C₂₈.₇C₆ = Q₈×C₂₁	φ: C₆/C₃ → C₂ ⊆ Aut C₂₈	168	2	C28.7C6	168,41

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