Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×D₄

Direct product G=N×Q with N=C₈ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₂₄		96		D4xC24	192,867

Semidirect products G=N:Q with N=C₈ and Q=C₃×D₄

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₃×D₄) = C₃×C₈⋊D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96	C8:1(C3xD4)	192,901
C₈⋊₂(C₃×D₄) = C₃×C₈⋊₂D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96	C8:2(C3xD4)	192,902
C₈⋊₃(C₃×D₄) = C₃×C₈⋊₃D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96	C8:3(C3xD4)	192,929
C₈⋊₄(C₃×D₄) = C₃×C₈⋊₄D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	C8:4(C3xD4)	192,926
C₈⋊₅(C₃×D₄) = C₃×C₈⋊₅D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	C8:5(C3xD4)	192,925
C₈⋊₆(C₃×D₄) = C₃×C₈⋊₆D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	C8:6(C3xD4)	192,869
C₈⋊₇(C₃×D₄) = C₃×C₈⋊₇D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	C8:7(C3xD4)	192,899
C₈⋊₈(C₃×D₄) = C₃×C₈⋊₈D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	C8:8(C3xD4)	192,898
C₈⋊₉(C₃×D₄) = C₃×C₈⋊₉D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	C8:9(C3xD4)	192,868

Non-split extensions G=N.Q with N=C₈ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃×D₄) = C₃×C₈.D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96		C8.1(C3xD4)	192,903
C₈.₂(C₃×D₄) = C₃×C₈.₂D₄	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96		C8.2(C3xD4)	192,930
C₈.₃(C₃×D₄) = C₃×C₁₆⋊C₂²	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	48	4	C8.3(C3xD4)	192,942
C₈.₄(C₃×D₄) = C₃×Q₃₂⋊C₂	φ: C₃×D₄/C₆ → C₂² ⊆ Aut C₈	96	4	C8.4(C3xD4)	192,943
C₈.₅(C₃×D₄) = C₃×D₃₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.5(C3xD4)	192,177
C₈.₆(C₃×D₄) = C₃×SD₆₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.6(C3xD4)	192,178
C₈.₇(C₃×D₄) = C₃×Q₆₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	192	2	C8.7(C3xD4)	192,179
C₈.₈(C₃×D₄) = C₃×C₄⋊Q₁₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	192		C8.8(C3xD4)	192,927
C₈.₉(C₃×D₄) = C₆×D₁₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96		C8.9(C3xD4)	192,938
C₈.₁₀(C₃×D₄) = C₆×SD₃₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96		C8.10(C3xD4)	192,939
C₈.₁₁(C₃×D₄) = C₆×Q₃₂	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	192		C8.11(C3xD4)	192,940
C₈.₁₂(C₃×D₄) = C₃×C₈.₁₂D₄	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96		C8.12(C3xD4)	192,928
C₈.₁₃(C₃×D₄) = C₃×C₄○D₁₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.13(C3xD4)	192,941
C₈.₁₄(C₃×D₄) = C₃×C₂.D₁₆	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96		C8.14(C3xD4)	192,163
C₈.₁₅(C₃×D₄) = C₃×C₂.Q₃₂	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	192		C8.15(C3xD4)	192,164
C₈.₁₆(C₃×D₄) = C₃×M₅(2)⋊C₂	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.16(C3xD4)	192,167
C₈.₁₇(C₃×D₄) = C₃×C₈.₁₇D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	4	C8.17(C3xD4)	192,168
C₈.₁₈(C₃×D₄) = C₃×C₈.₁₈D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96		C8.18(C3xD4)	192,900
C₈.₁₉(C₃×D₄) = C₃×D₄.₄D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.19(C3xD4)	192,905
C₈.₂₀(C₃×D₄) = C₃×D₄.₅D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	4	C8.20(C3xD4)	192,906
C₈.₂₁(C₃×D₄) = C₃×D₈.C₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	96	2	C8.21(C3xD4)	192,165
C₈.₂₂(C₃×D₄) = C₃×D₈⋊₂C₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.22(C3xD4)	192,166
C₈.₂₃(C₃×D₄) = C₃×D₄.₃D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.23(C3xD4)	192,904
C₈.₂₄(C₃×D₄) = C₃×C₂³.C₈	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.24(C3xD4)	192,155
C₈.₂₅(C₃×D₄) = C₃×C₈.₂₆D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₈	48	4	C8.25(C3xD4)	192,877
C₈.₂₆(C₃×D₄) = C₃×C₂²⋊C₁₆	central extension (φ=1)	96		C8.26(C3xD4)	192,154
C₈.₂₇(C₃×D₄) = C₃×D₄.C₈	central extension (φ=1)	96	2	C8.27(C3xD4)	192,156
C₈.₂₈(C₃×D₄) = C₃×C₄⋊C₁₆	central extension (φ=1)	192		C8.28(C3xD4)	192,169
C₈.₂₉(C₃×D₄) = C₃×C₈.C₈	central extension (φ=1)	48	2	C8.29(C3xD4)	192,170
C₈.₃₀(C₃×D₄) = C₃×C₈○D₈	central extension (φ=1)	48	2	C8.30(C3xD4)	192,876

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Extensions 1→N→G→Q→1 with N=C8 and Q=C3×D4

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×D₄