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

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

		d	ρ	Label	ID
C₆×C₄⋊C₈		192		C6xC4:C8	192,855

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₄⋊C₈) = C₂×C₁₂⋊C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	192		C6:1(C4:C8)	192,482
C₆⋊₂(C₄⋊C₈) = C₂×Dic₃⋊C₈	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6:2(C4:C8)	192,658

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄⋊C₈) = C₂₄⋊₂C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.1(C4:C8)	192,16
C₆.₂(C₄⋊C₈) = C₂₄⋊₁C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.2(C4:C8)	192,17
C₆.₃(C₄⋊C₈) = C₁₂⋊C₁₆	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.3(C4:C8)	192,21
C₆.₄(C₄⋊C₈) = C₂₄.₁C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	48	2	C6.4(C4:C8)	192,22
C₆.₅(C₄⋊C₈) = (C₂×C₁₂)⋊₃C₈	φ: C₄⋊C₈/C₄² → C₂ ⊆ Aut C₆	192		C6.5(C4:C8)	192,83
C₆.₆(C₄⋊C₈) = C₁₂.₅₃D₈	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.6(C4:C8)	192,38
C₆.₇(C₄⋊C₈) = C₁₂.₃₉SD₁₆	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.7(C4:C8)	192,39
C₆.₈(C₄⋊C₈) = Dic₃⋊C₁₆	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.8(C4:C8)	192,60
C₆.₉(C₄⋊C₈) = C₂₄.₉₇D₄	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	48	4	C6.9(C4:C8)	192,70
C₆.₁₀(C₄⋊C₈) = (C₂×C₂₄)⋊₅C₄	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₆	192		C6.10(C4:C8)	192,109
C₆.₁₁(C₄⋊C₈) = C₃×C₈⋊₂C₈	central extension (φ=1)	192		C6.11(C4:C8)	192,140
C₆.₁₂(C₄⋊C₈) = C₃×C₈⋊₁C₈	central extension (φ=1)	192		C6.12(C4:C8)	192,141
C₆.₁₃(C₄⋊C₈) = C₃×C₂².₇C₄²	central extension (φ=1)	192		C6.13(C4:C8)	192,142
C₆.₁₄(C₄⋊C₈) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C6.14(C4:C8)	192,169
C₆.₁₅(C₄⋊C₈) = C₃×C₈.C₈	central extension (φ=1)	48	2	C6.15(C4:C8)	192,170

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁