Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₈⋊C₂²

Direct product G=N×Q with N=C₃ and Q=C₂×C₈⋊C₂²

		d	ρ	Label	ID
C₆×C₈⋊C₂²		48		C6xC8:C2^2	192,1462

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₈⋊C₂²) = C₂×C₈⋊D₆	φ: C₂×C₈⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₃	48		C3:1(C2xC8:C2^2)	192,1305
C₃⋊₂(C₂×C₈⋊C₂²) = C₂×D₈⋊S₃	φ: C₂×C₈⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₃	48		C3:2(C2xC8:C2^2)	192,1314
C₃⋊₃(C₂×C₈⋊C₂²) = C₂×Q₈⋊₃D₆	φ: C₂×C₈⋊C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₃	48		C3:3(C2xC8:C2^2)	192,1318
C₃⋊₄(C₂×C₈⋊C₂²) = S₃×C₈⋊C₂²	φ: C₂×C₈⋊C₂²/C₈⋊C₂² → C₂ ⊆ Aut C₃	24	8+	C3:4(C2xC8:C2^2)	192,1331
C₃⋊₅(C₂×C₈⋊C₂²) = C₂×D₁₂⋊₆C₂²	φ: C₂×C₈⋊C₂²/C₂²×D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2xC8:C2^2)	192,1352
C₃⋊₆(C₂×C₈⋊C₂²) = C₂×D₄⋊D₆	φ: C₂×C₈⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	48		C3:6(C2xC8:C2^2)	192,1379

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁