Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₂×C₈

Direct product G=N×Q with N=C₃×C₉ and Q=C₂×C₈

		d	ρ	Label	ID
C₆×C₇₂		432		C6xC72	432,209

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁(C₂×C₈) = D₉×C₃⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₃×C₉	144	4	(C3xC9):1(C2xC8)	432,58
(C₃×C₉)⋊₂(C₂×C₈) = C₃₆.₃₈D₆	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):2(C2xC8)	432,59
(C₃×C₉)⋊₃(C₂×C₈) = S₃×C₉⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₃×C₉	144	4	(C3xC9):3(C2xC8)	432,66
(C₃×C₉)⋊₄(C₂×C₈) = S₃×C₇₂	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₃×C₉	144	2	(C3xC9):4(C2xC8)	432,109
(C₃×C₉)⋊₅(C₂×C₈) = D₉×C₂₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₃×C₉	144	2	(C3xC9):5(C2xC8)	432,105
(C₃×C₉)⋊₆(C₂×C₈) = C₈×C₉⋊S₃	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):6(C2xC8)	432,169
(C₃×C₉)⋊₇(C₂×C₈) = C₁₈×C₃⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	144		(C3xC9):7(C2xC8)	432,126
(C₃×C₉)⋊₈(C₂×C₈) = C₆×C₉⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	144		(C3xC9):8(C2xC8)	432,124
(C₃×C₉)⋊₉(C₂×C₈) = C₂×C₃₆.S₃	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	432		(C3xC9):9(C2xC8)	432,178

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁