Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₆ and Q=C₂×M₄(2)

		d	ρ	Label	ID
C₂×C₆×M₄(2)		96		C2xC6xM4(2)	192,1455

Semidirect products G=N:Q with N=C₆ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(C₂×M₄(2)) = C₂²×C₈⋊S₃	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6:1(C2xM4(2))	192,1296
C₆⋊₂(C₂×M₄(2)) = C₂×S₃×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	48	C6:2(C2xM4(2))	192,1302
C₆⋊₃(C₂×M₄(2)) = C₂²×C₄.Dic₃	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6:3(C2xM4(2))	192,1340

Non-split extensions G=N.Q with N=C₆ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(C₂×M₄(2)) = C₂₄⋊₁₂Q₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.1(C2xM4(2))	192,238
C₆.₂(C₂×M₄(2)) = C₄².₂₈₂D₆	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.2(C2xM4(2))	192,244
C₆.₃(C₂×M₄(2)) = C₄×C₈⋊S₃	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.3(C2xM4(2))	192,246
C₆.₄(C₂×M₄(2)) = C₈⋊₆D₁₂	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.4(C2xM4(2))	192,247
C₆.₅(C₂×M₄(2)) = D₆⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	48	C6.5(C2xM4(2))	192,285
C₆.₆(C₂×M₄(2)) = C₃⋊C₈⋊₂₆D₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.6(C2xM4(2))	192,289
C₆.₇(C₂×M₄(2)) = C₄².₁₉₈D₆	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.7(C2xM4(2))	192,390
C₆.₈(C₂×M₄(2)) = C₁₂⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.8(C2xM4(2))	192,396
C₆.₉(C₂×M₄(2)) = C₁₂⋊₂M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.9(C2xM4(2))	192,397
C₆.₁₀(C₂×M₄(2)) = C₂×Dic₃⋊C₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.10(C2xM4(2))	192,658
C₆.₁₁(C₂×M₄(2)) = C₂×C₂₄⋊C₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	192	C6.11(C2xM4(2))	192,659
C₆.₁₂(C₂×M₄(2)) = C₂×D₆⋊C₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.12(C2xM4(2))	192,667
C₆.₁₃(C₂×M₄(2)) = C₂₄⋊₃₃D₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₆	96	C6.13(C2xM4(2))	192,670
C₆.₁₄(C₂×M₄(2)) = C₂₄⋊Q₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	192	C6.14(C2xM4(2))	192,260
C₆.₁₅(C₂×M₄(2)) = S₃×C₈⋊C₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.15(C2xM4(2))	192,263
C₆.₁₆(C₂×M₄(2)) = C₄².₁₈₂D₆	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.16(C2xM4(2))	192,264
C₆.₁₇(C₂×M₄(2)) = C₈⋊₉D₁₂	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.17(C2xM4(2))	192,265
C₆.₁₈(C₂×M₄(2)) = Dic₃⋊₅M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.18(C2xM4(2))	192,266
C₆.₁₉(C₂×M₄(2)) = Dic₃.₅M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.19(C2xM4(2))	192,277
C₆.₂₀(C₂×M₄(2)) = Dic₃.M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.20(C2xM4(2))	192,278
C₆.₂₁(C₂×M₄(2)) = S₃×C₂²⋊C₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	48	C6.21(C2xM4(2))	192,283
C₆.₂₂(C₂×M₄(2)) = D₆⋊₂M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.22(C2xM4(2))	192,287
C₆.₂₃(C₂×M₄(2)) = Dic₃⋊M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.23(C2xM4(2))	192,288
C₆.₂₄(C₂×M₄(2)) = C₄².₂₇D₆	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	192	C6.24(C2xM4(2))	192,387
C₆.₂₅(C₂×M₄(2)) = S₃×C₄⋊C₈	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.25(C2xM4(2))	192,391
C₆.₂₆(C₂×M₄(2)) = C₄².₂₀₀D₆	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.26(C2xM4(2))	192,392
C₆.₂₇(C₂×M₄(2)) = C₄².₂₀₂D₆	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.27(C2xM4(2))	192,394
C₆.₂₈(C₂×M₄(2)) = D₆⋊₃M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.28(C2xM4(2))	192,395
C₆.₂₉(C₂×M₄(2)) = Dic₃×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.29(C2xM4(2))	192,676
C₆.₃₀(C₂×M₄(2)) = Dic₃⋊₄M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.30(C2xM4(2))	192,677
C₆.₃₁(C₂×M₄(2)) = D₆⋊₆M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	48	C6.31(C2xM4(2))	192,685
C₆.₃₂(C₂×M₄(2)) = C₂₄⋊D₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.32(C2xM4(2))	192,686
C₆.₃₃(C₂×M₄(2)) = C₂₄⋊₂₁D₄	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₆	96	C6.33(C2xM4(2))	192,687
C₆.₃₄(C₂×M₄(2)) = C₂×C₄².S₃	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	192	C6.34(C2xM4(2))	192,480
C₆.₃₅(C₂×M₄(2)) = C₄×C₄.Dic₃	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.35(C2xM4(2))	192,481
C₆.₃₆(C₂×M₄(2)) = C₂×C₁₂⋊C₈	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	192	C6.36(C2xM4(2))	192,482
C₆.₃₇(C₂×M₄(2)) = C₁₂⋊₇M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.37(C2xM4(2))	192,483
C₆.₃₈(C₂×M₄(2)) = C₄².₂₈₅D₆	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.38(C2xM4(2))	192,484
C₆.₃₉(C₂×M₄(2)) = C₄².₂₇₀D₆	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.39(C2xM4(2))	192,485
C₆.₄₀(C₂×M₄(2)) = C₄².₄₇D₆	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.40(C2xM4(2))	192,570
C₆.₄₁(C₂×M₄(2)) = C₁₂⋊₃M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.41(C2xM4(2))	192,571
C₆.₄₂(C₂×M₄(2)) = C₄².₂₁₀D₆	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	192	C6.42(C2xM4(2))	192,583
C₆.₄₃(C₂×M₄(2)) = C₂×C₁₂.₅₅D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	96	C6.43(C2xM4(2))	192,765
C₆.₄₄(C₂×M₄(2)) = C₂⁴.₆Dic₃	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₆	48	C6.44(C2xM4(2))	192,766
C₆.₄₅(C₂×M₄(2)) = C₆×C₈⋊C₄	central extension (φ=1)	192	C6.45(C2xM4(2))	192,836
C₆.₄₆(C₂×M₄(2)) = C₁₂×M₄(2)	central extension (φ=1)	96	C6.46(C2xM4(2))	192,837
C₆.₄₇(C₂×M₄(2)) = C₆×C₂²⋊C₈	central extension (φ=1)	96	C6.47(C2xM4(2))	192,839
C₆.₄₈(C₂×M₄(2)) = C₃×C₂⁴.₄C₄	central extension (φ=1)	48	C6.48(C2xM4(2))	192,840
C₆.₄₉(C₂×M₄(2)) = C₆×C₄⋊C₈	central extension (φ=1)	192	C6.49(C2xM4(2))	192,855
C₆.₅₀(C₂×M₄(2)) = C₃×C₄⋊M₄(2)	central extension (φ=1)	96	C6.50(C2xM4(2))	192,856
C₆.₅₁(C₂×M₄(2)) = C₃×C₄².₁₂C₄	central extension (φ=1)	96	C6.51(C2xM4(2))	192,864
C₆.₅₂(C₂×M₄(2)) = C₃×C₄².₆C₄	central extension (φ=1)	96	C6.52(C2xM4(2))	192,865
C₆.₅₃(C₂×M₄(2)) = C₃×C₈⋊₉D₄	central extension (φ=1)	96	C6.53(C2xM4(2))	192,868
C₆.₅₄(C₂×M₄(2)) = C₃×C₈⋊₆D₄	central extension (φ=1)	96	C6.54(C2xM4(2))	192,869
C₆.₅₅(C₂×M₄(2)) = C₃×C₈⋊₄Q₈	central extension (φ=1)	192	C6.55(C2xM4(2))	192,879

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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×M4(2)

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×M₄(2)