Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₈

Direct product G=N×Q with N=C₆ and Q=C₃×D₈

		d	ρ	Label	ID
D₈×C₃×C₆		144		D8xC3xC6	288,829

Semidirect products G=N:Q with N=C₆ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₃×D₈) = C₆×D₂₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96		C6:1(C3xD8)	288,674
C₆⋊₂(C₃×D₈) = C₆×D₄⋊S₃	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	48		C6:2(C3xD8)	288,702

Non-split extensions G=N.Q with N=C₆ and Q=C₃×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×D₈) = C₃×D₄₈	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96	2	C6.1(C3xD8)	288,233
C₆.₂(C₃×D₈) = C₃×C₄₈⋊C₂	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96	2	C6.2(C3xD8)	288,234
C₆.₃(C₃×D₈) = C₃×Dic₂₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96	2	C6.3(C3xD8)	288,235
C₆.₄(C₃×D₈) = C₃×C₂₄⋊₁C₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96		C6.4(C3xD8)	288,252
C₆.₅(C₃×D₈) = C₃×C₂.D₂₄	φ: C₃×D₈/C₂₄ → C₂ ⊆ Aut C₆	96		C6.5(C3xD8)	288,255
C₆.₆(C₃×D₈) = C₃×C₆.Q₁₆	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	96		C6.6(C3xD8)	288,241
C₆.₇(C₃×D₈) = C₃×C₆.D₈	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	96		C6.7(C3xD8)	288,243
C₆.₈(C₃×D₈) = C₃×C₃⋊D₁₆	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	48	4	C6.8(C3xD8)	288,260
C₆.₉(C₃×D₈) = C₃×D₈.S₃	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	48	4	C6.9(C3xD8)	288,261
C₆.₁₀(C₃×D₈) = C₃×C₈.₆D₆	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	96	4	C6.10(C3xD8)	288,262
C₆.₁₁(C₃×D₈) = C₃×C₃⋊Q₃₂	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	96	4	C6.11(C3xD8)	288,263
C₆.₁₂(C₃×D₈) = C₃×D₄⋊Dic₃	φ: C₃×D₈/C₃×D₄ → C₂ ⊆ Aut C₆	48		C6.12(C3xD8)	288,266
C₆.₁₃(C₃×D₈) = C₉×D₄⋊C₄	central extension (φ=1)	144		C6.13(C3xD8)	288,52
C₆.₁₄(C₃×D₈) = C₉×C₂.D₈	central extension (φ=1)	288		C6.14(C3xD8)	288,57
C₆.₁₅(C₃×D₈) = C₉×D₁₆	central extension (φ=1)	144	2	C6.15(C3xD8)	288,61
C₆.₁₆(C₃×D₈) = C₉×SD₃₂	central extension (φ=1)	144	2	C6.16(C3xD8)	288,62
C₆.₁₇(C₃×D₈) = C₉×Q₃₂	central extension (φ=1)	288	2	C6.17(C3xD8)	288,63
C₆.₁₈(C₃×D₈) = D₈×C₁₈	central extension (φ=1)	144		C6.18(C3xD8)	288,182
C₆.₁₉(C₃×D₈) = C₃²×D₄⋊C₄	central extension (φ=1)	144		C6.19(C3xD8)	288,320
C₆.₂₀(C₃×D₈) = C₃²×C₂.D₈	central extension (φ=1)	288		C6.20(C3xD8)	288,325
C₆.₂₁(C₃×D₈) = C₃²×D₁₆	central extension (φ=1)	144		C6.21(C3xD8)	288,329
C₆.₂₂(C₃×D₈) = C₃²×SD₃₂	central extension (φ=1)	144		C6.22(C3xD8)	288,330
C₆.₂₃(C₃×D₈) = C₃²×Q₃₂	central extension (φ=1)	288		C6.23(C3xD8)	288,331

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Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D8

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₈