Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×Dic₃

Direct product G=N×Q with N=C₈ and Q=C₂×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₈		192		Dic3xC2xC8	192,657

Semidirect products G=N:Q with N=C₈ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₂×Dic₃) = C₂³.₅₂D₁₂	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	96	C8:1(C2xDic3)	192,680
C₈⋊₂(C₂×Dic₃) = D₈⋊Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	96	C8:2(C2xDic3)	192,711
C₈⋊₃(C₂×Dic₃) = SD₁₆⋊Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	96	C8:3(C2xDic3)	192,723
C₈⋊₄(C₂×Dic₃) = Dic₃×D₈	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96	C8:4(C2xDic3)	192,708
C₈⋊₅(C₂×Dic₃) = Dic₃×SD₁₆	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96	C8:5(C2xDic3)	192,720
C₈⋊₆(C₂×Dic₃) = Dic₃×M₄(2)	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96	C8:6(C2xDic3)	192,676
C₈⋊₇(C₂×Dic₃) = C₂×C₂₄⋊₁C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	192	C8:7(C2xDic3)	192,664
C₈⋊₈(C₂×Dic₃) = C₂×C₈⋊Dic₃	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	192	C8:8(C2xDic3)	192,663
C₈⋊₉(C₂×Dic₃) = C₂×C₂₄⋊C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	192	C8:9(C2xDic3)	192,659

Non-split extensions G=N.Q with N=C₈ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂×Dic₃) = D₈.Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	48	4	C8.1(C2xDic3)	192,122
C₈.₂(C₂×Dic₃) = Q₁₆.Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	96	4	C8.2(C2xDic3)	192,124
C₈.₃(C₂×Dic₃) = D₈⋊₂Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	48	4	C8.3(C2xDic3)	192,125
C₈.₄(C₂×Dic₃) = C₂³.₉Dic₆	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	48	4	C8.4(C2xDic3)	192,684
C₈.₅(C₂×Dic₃) = Q₁₆⋊Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	192		C8.5(C2xDic3)	192,743
C₈.₆(C₂×Dic₃) = D₈⋊₄Dic₃	φ: C₂×Dic₃/C₆ → C₂² ⊆ Aut C₈	48	4	C8.6(C2xDic3)	192,756
C₈.₇(C₂×Dic₃) = D₈⋊₁Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96		C8.7(C2xDic3)	192,121
C₈.₈(C₂×Dic₃) = C₆.₅Q₃₂	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	192		C8.8(C2xDic3)	192,123
C₈.₉(C₂×Dic₃) = C₂₄.₄₁D₄	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96	4	C8.9(C2xDic3)	192,126
C₈.₁₀(C₂×Dic₃) = Dic₃×Q₁₆	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	192		C8.10(C2xDic3)	192,740
C₈.₁₁(C₂×Dic₃) = D₈⋊₅Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	48	4	C8.11(C2xDic3)	192,755
C₈.₁₂(C₂×Dic₃) = C₁₂.₇C₄²	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96		C8.12(C2xDic3)	192,681
C₈.₁₃(C₂×Dic₃) = C₂₄.₇₈C₂³	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₈	96	4	C8.13(C2xDic3)	192,699
C₈.₁₄(C₂×Dic₃) = C₄₈⋊₅C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	192		C8.14(C2xDic3)	192,63
C₈.₁₅(C₂×Dic₃) = C₄₈⋊₆C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	192		C8.15(C2xDic3)	192,64
C₈.₁₆(C₂×Dic₃) = C₄₈.C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	96	2	C8.16(C2xDic3)	192,65
C₈.₁₇(C₂×Dic₃) = C₂³.₂₇D₁₂	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	96		C8.17(C2xDic3)	192,665
C₈.₁₈(C₂×Dic₃) = C₂₄.Q₈	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.18(C2xDic3)	192,72
C₈.₁₉(C₂×Dic₃) = C₂×C₂₄.C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	96		C8.19(C2xDic3)	192,666
C₈.₂₀(C₂×Dic₃) = C₄₈⋊C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.20(C2xDic3)	192,71
C₈.₂₁(C₂×Dic₃) = C₂×C₃⋊C₃₂	central extension (φ=1)	192		C8.21(C2xDic3)	192,57
C₈.₂₂(C₂×Dic₃) = C₃⋊M₆(2)	central extension (φ=1)	96	2	C8.22(C2xDic3)	192,58
C₈.₂₃(C₂×Dic₃) = Dic₃×C₁₆	central extension (φ=1)	192		C8.23(C2xDic3)	192,59
C₈.₂₄(C₂×Dic₃) = C₄₈⋊₁₀C₄	central extension (φ=1)	192		C8.24(C2xDic3)	192,61
C₈.₂₅(C₂×Dic₃) = C₂²×C₃⋊C₁₆	central extension (φ=1)	192		C8.25(C2xDic3)	192,655
C₈.₂₆(C₂×Dic₃) = C₂×C₁₂.C₈	central extension (φ=1)	96		C8.26(C2xDic3)	192,656
C₈.₂₇(C₂×Dic₃) = C₁₂.₁₂C₄²	central extension (φ=1)	96		C8.27(C2xDic3)	192,660

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C2×Dic3

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×Dic₃