Extensions 1→N→G→Q→1 with N=C₆ and Q=C₈○D₄

Direct product G=N×Q with N=C₆ and Q=C₈○D₄

		d	ρ	Label	ID
C₆×C₈○D₄		96		C6xC8oD4	192,1456

Semidirect products G=N:Q with N=C₆ and Q=C₈○D₄

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(C₈○D₄) = C₂×C₈○D₁₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6:1(C8oD4)	192,1297
C₆⋊₂(C₈○D₄) = C₂×D₁₂.C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6:2(C8oD4)	192,1303
C₆⋊₃(C₈○D₄) = C₂×D₄.Dic₃	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6:3(C8oD4)	192,1377

Non-split extensions G=N.Q with N=C₆ and Q=C₈○D₄

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(C₈○D₄) = C₈×Dic₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.1(C8oD4)	192,237
C₆.₂(C₈○D₄) = C₂₄⋊₁₂Q₈	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.2(C8oD4)	192,238
C₆.₃(C₈○D₄) = C₈×D₁₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.3(C8oD4)	192,245
C₆.₄(C₈○D₄) = C₈⋊₆D₁₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.4(C8oD4)	192,247
C₆.₅(C₈○D₄) = D₆.C₄²	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.5(C8oD4)	192,248
C₆.₆(C₈○D₄) = C₄².₂₄₃D₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.6(C8oD4)	192,249
C₆.₇(C₈○D₄) = C₂₄⋊C₄⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.7(C8oD4)	192,279
C₆.₈(C₈○D₄) = D₆⋊C₈⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.8(C8oD4)	192,286
C₆.₉(C₈○D₄) = D₆⋊₂M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.9(C8oD4)	192,287
C₆.₁₀(C₈○D₄) = Dic₃⋊M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.10(C8oD4)	192,288
C₆.₁₁(C₈○D₄) = C₄².₂₇D₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.11(C8oD4)	192,387
C₆.₁₂(C₈○D₄) = D₆⋊₃M₄(2)	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.12(C8oD4)	192,395
C₆.₁₃(C₈○D₄) = C₄².₃₀D₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.13(C8oD4)	192,398
C₆.₁₄(C₈○D₄) = C₄².₃₁D₆	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.14(C8oD4)	192,399
C₆.₁₅(C₈○D₄) = C₁₂.₁₂C₄²	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.15(C8oD4)	192,660
C₆.₁₆(C₈○D₄) = Dic₃⋊C₈⋊C₂	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.16(C8oD4)	192,661
C₆.₁₇(C₈○D₄) = C₈×C₃⋊D₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.17(C8oD4)	192,668
C₆.₁₈(C₈○D₄) = (C₂²×C₈)⋊₇S₃	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.18(C8oD4)	192,669
C₆.₁₉(C₈○D₄) = C₂₄⋊₃₃D₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.19(C8oD4)	192,670
C₆.₂₀(C₈○D₄) = C₂₄⋊Q₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	192	C6.20(C8oD4)	192,260
C₆.₂₁(C₈○D₄) = C₈⋊₉D₁₂	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.21(C8oD4)	192,265
C₆.₂₂(C₈○D₄) = D₆.₄C₄²	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.22(C8oD4)	192,267
C₆.₂₃(C₈○D₄) = C₄².₁₈₅D₆	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.23(C8oD4)	192,268
C₆.₂₄(C₈○D₄) = C₃⋊D₄⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.24(C8oD4)	192,284
C₆.₂₅(C₈○D₄) = C₃⋊C₈⋊₂₆D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.25(C8oD4)	192,289
C₆.₂₆(C₈○D₄) = Dic₆⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	192	C6.26(C8oD4)	192,389
C₆.₂₇(C₈○D₄) = C₄².₁₉₈D₆	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	192	C6.27(C8oD4)	192,390
C₆.₂₈(C₈○D₄) = D₁₂⋊C₈	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.28(C8oD4)	192,393
C₆.₂₉(C₈○D₄) = C₁₂⋊₂M₄(2)	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.29(C8oD4)	192,397
C₆.₃₀(C₈○D₄) = C₁₂.₈₈(C₂×Q₈)	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.30(C8oD4)	192,678
C₆.₃₁(C₈○D₄) = C₁₂.₇C₄²	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.31(C8oD4)	192,681
C₆.₃₂(C₈○D₄) = C₂₄⋊D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.32(C8oD4)	192,686
C₆.₃₃(C₈○D₄) = C₂₄⋊₂₁D₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.33(C8oD4)	192,687
C₆.₃₄(C₈○D₄) = D₆⋊C₈⋊₄₀C₂	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₆	96	C6.34(C8oD4)	192,688
C₆.₃₅(C₈○D₄) = C₁₂.₅C₄²	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.35(C8oD4)	192,556
C₆.₃₆(C₈○D₄) = C₄².₄₃D₆	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.36(C8oD4)	192,558
C₆.₃₇(C₈○D₄) = C₄².₁₈₇D₆	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.37(C8oD4)	192,559
C₆.₃₈(C₈○D₄) = D₄×C₃⋊C₈	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.38(C8oD4)	192,569
C₆.₃₉(C₈○D₄) = C₄².₄₇D₆	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.39(C8oD4)	192,570
C₆.₄₀(C₈○D₄) = C₁₂⋊₃M₄(2)	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.40(C8oD4)	192,571
C₆.₄₁(C₈○D₄) = Q₈×C₃⋊C₈	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	192	C6.41(C8oD4)	192,582
C₆.₄₂(C₈○D₄) = C₄².₂₁₀D₆	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	192	C6.42(C8oD4)	192,583
C₆.₄₃(C₈○D₄) = (C₆×D₄).₁₁C₄	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.43(C8oD4)	192,793
C₆.₄₄(C₈○D₄) = C₃×C₈○₂M₄(2)	central extension (φ=1)	96	C6.44(C8oD4)	192,838
C₆.₄₅(C₈○D₄) = C₃×(C₂²×C₈)⋊C₂	central extension (φ=1)	96	C6.45(C8oD4)	192,841
C₆.₄₆(C₈○D₄) = C₃×C₄².₆C₂²	central extension (φ=1)	96	C6.46(C8oD4)	192,857
C₆.₄₇(C₈○D₄) = C₃×C₄².₇C₂²	central extension (φ=1)	96	C6.47(C8oD4)	192,866
C₆.₄₈(C₈○D₄) = D₄×C₂₄	central extension (φ=1)	96	C6.48(C8oD4)	192,867
C₆.₄₉(C₈○D₄) = C₃×C₈⋊₉D₄	central extension (φ=1)	96	C6.49(C8oD4)	192,868
C₆.₅₀(C₈○D₄) = C₃×C₈⋊₆D₄	central extension (φ=1)	96	C6.50(C8oD4)	192,869
C₆.₅₁(C₈○D₄) = Q₈×C₂₄	central extension (φ=1)	192	C6.51(C8oD4)	192,878
C₆.₅₂(C₈○D₄) = C₃×C₈⋊₄Q₈	central extension (φ=1)	192	C6.52(C8oD4)	192,879

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Extensions 1→N→G→Q→1 with N=C6 and Q=C8○D4

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₈○D₄