Extensions 1→N→G→Q→1 with N=C₆ and Q=C₈.C₄

Direct product G=N×Q with N=C₆ and Q=C₈.C₄

		d	ρ	Label	ID
C₆×C₈.C₄		96		C6xC8.C4	192,862

Semidirect products G=N:Q with N=C₆ and Q=C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₈.C₄) = C₂×C₂₄.C₄	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₆	96		C6:1(C8.C4)	192,666
C₆⋊₂(C₈.C₄) = C₂×C₁₂.₅₃D₄	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₆	96		C6:2(C8.C4)	192,682

Non-split extensions G=N.Q with N=C₆ and Q=C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₈.C₄) = C₂₄⋊₂C₈	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.1(C8.C4)	192,16
C₆.₂(C₈.C₄) = C₂₄⋊₁C₈	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.2(C8.C4)	192,17
C₆.₃(C₈.C₄) = C₁₂.₁₀C₄²	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₆	96		C6.3(C8.C4)	192,111
C₆.₄(C₈.C₄) = C₁₂.₅₃D₈	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₆	192		C6.4(C8.C4)	192,38
C₆.₅(C₈.C₄) = C₁₂.₃₉SD₁₆	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₆	192		C6.5(C8.C4)	192,39
C₆.₆(C₈.C₄) = C₁₂.₄C₄²	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₆	96		C6.6(C8.C4)	192,117
C₆.₇(C₈.C₄) = C₃×C₈⋊₂C₈	central extension (φ=1)	192		C6.7(C8.C4)	192,140
C₆.₈(C₈.C₄) = C₃×C₈⋊₁C₈	central extension (φ=1)	192		C6.8(C8.C4)	192,141
C₆.₉(C₈.C₄) = C₃×C₄.C₄²	central extension (φ=1)	96		C6.9(C8.C4)	192,147

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