Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂×C₈

Direct product G=N×Q with N=C₃² and Q=C₂×C₈

		d	ρ	Label	ID
C₆×C₂₄		144		C6xC24	144,104

Semidirect products G=N:Q with N=C₃² and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂×C₈) = C₂×F₉	φ: C₂×C₈/C₂ → C₈ ⊆ Aut C₃²	18	8+	C3^2:(C2xC8)	144,185
C₃²⋊₂(C₂×C₈) = C₃⋊S₃⋊₃C₈	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₃²	24	4	C3^2:2(C2xC8)	144,130
C₃²⋊₃(C₂×C₈) = S₃×C₃⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:3(C2xC8)	144,52
C₃²⋊₄(C₂×C₈) = C₁₂.₂₉D₆	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₃²	24	4	C3^2:4(C2xC8)	144,53
C₃²⋊₅(C₂×C₈) = C₂×C₃²⋊₂C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₃²	48		C3^2:5(C2xC8)	144,134
C₃²⋊₆(C₂×C₈) = S₃×C₂₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:6(C2xC8)	144,69
C₃²⋊₇(C₂×C₈) = C₈×C₃⋊S₃	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₃²	72		C3^2:7(C2xC8)	144,85
C₃²⋊₈(C₂×C₈) = C₆×C₃⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₃²	48		C3^2:8(C2xC8)	144,74
C₃²⋊₉(C₂×C₈) = C₂×C₃²⋊₄C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₃²	144		C3^2:9(C2xC8)	144,90

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁