Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈⋊₃S₃

Direct product G=N×Q with N=C₆ and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₆×Q₈⋊₃S₃		96		C6xQ8:3S3	288,996

Semidirect products G=N:Q with N=C₆ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(Q₈⋊₃S₃) = C₂×D₆.₆D₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6:1(Q8:3S3)	288,949
C₆⋊₂(Q₈⋊₃S₃) = C₂×D₁₂⋊S₃	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6:2(Q8:3S3)	288,944
C₆⋊₃(Q₈⋊₃S₃) = C₂×C₁₂.₂₆D₆	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6:3(Q8:3S3)	288,1011

Non-split extensions G=N.Q with N=C₆ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(Q₈⋊₃S₃) = C₆².₆C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.1(Q8:3S3)	288,484
C₆.₂(Q₈⋊₃S₃) = C₆².₁₁C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.2(Q8:3S3)	288,489
C₆.₃(Q₈⋊₃S₃) = Dic₃×Dic₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.3(Q8:3S3)	288,490
C₆.₄(Q₈⋊₃S₃) = Dic₃.Dic₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.4(Q8:3S3)	288,493
C₆.₅(Q₈⋊₃S₃) = C₆².₂₀C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.5(Q8:3S3)	288,498
C₆.₆(Q₈⋊₃S₃) = C₆².₂₄C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.6(Q8:3S3)	288,502
C₆.₇(Q₈⋊₃S₃) = D₆⋊₆Dic₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.7(Q8:3S3)	288,504
C₆.₈(Q₈⋊₃S₃) = C₆².₃₁C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.8(Q8:3S3)	288,509
C₆.₉(Q₈⋊₃S₃) = C₁₂.₂₈D₁₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.9(Q8:3S3)	288,512
C₆.₁₀(Q₈⋊₃S₃) = C₆².₃₈C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.10(Q8:3S3)	288,516
C₆.₁₁(Q₈⋊₃S₃) = C₆².₃₉C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	96	C6.11(Q8:3S3)	288,517
C₆.₁₂(Q₈⋊₃S₃) = C₆².₅₈C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.12(Q8:3S3)	288,536
C₆.₁₃(Q₈⋊₃S₃) = Dic₃⋊₅D₁₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.13(Q8:3S3)	288,542
C₆.₁₄(Q₈⋊₃S₃) = C₆².₆₇C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.14(Q8:3S3)	288,545
C₆.₁₅(Q₈⋊₃S₃) = C₆².₇₄C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.15(Q8:3S3)	288,552
C₆.₁₆(Q₈⋊₃S₃) = C₆².₇₇C₂³	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.16(Q8:3S3)	288,555
C₆.₁₇(Q₈⋊₃S₃) = C₁₂⋊₇D₁₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.17(Q8:3S3)	288,557
C₆.₁₈(Q₈⋊₃S₃) = Dic₃⋊₃D₁₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₆	48	C6.18(Q8:3S3)	288,558
C₆.₁₉(Q₈⋊₃S₃) = C₆².₁₃C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.19(Q8:3S3)	288,491
C₆.₂₀(Q₈⋊₃S₃) = C₆².₁₆C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.20(Q8:3S3)	288,494
C₆.₂₁(Q₈⋊₃S₃) = C₆².₁₈C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.21(Q8:3S3)	288,496
C₆.₂₂(Q₈⋊₃S₃) = C₆².₁₉C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.22(Q8:3S3)	288,497
C₆.₂₃(Q₈⋊₃S₃) = C₆².₂₃C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.23(Q8:3S3)	288,501
C₆.₂₄(Q₈⋊₃S₃) = C₆².₂₈C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.24(Q8:3S3)	288,506
C₆.₂₅(Q₈⋊₃S₃) = C₆².₃₂C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.25(Q8:3S3)	288,510
C₆.₂₆(Q₈⋊₃S₃) = C₆².₃₃C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.26(Q8:3S3)	288,511
C₆.₂₇(Q₈⋊₃S₃) = C₁₂.₃₀D₁₂	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.27(Q8:3S3)	288,519
C₆.₂₈(Q₈⋊₃S₃) = C₆².₄₂C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.28(Q8:3S3)	288,520
C₆.₂₉(Q₈⋊₃S₃) = C₆².₄₈C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.29(Q8:3S3)	288,526
C₆.₃₀(Q₈⋊₃S₃) = C₆².₅₁C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.30(Q8:3S3)	288,529
C₆.₃₁(Q₈⋊₃S₃) = C₆².₅₄C₂³	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.31(Q8:3S3)	288,532
C₆.₃₂(Q₈⋊₃S₃) = Dic₃⋊D₁₂	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.32(Q8:3S3)	288,534
C₆.₃₃(Q₈⋊₃S₃) = D₆⋊₁Dic₆	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.33(Q8:3S3)	288,535
C₆.₃₄(Q₈⋊₃S₃) = D₆.D₁₂	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.34(Q8:3S3)	288,538
C₆.₃₅(Q₈⋊₃S₃) = D₁₂⋊Dic₃	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.35(Q8:3S3)	288,546
C₆.₃₆(Q₈⋊₃S₃) = C₁₂⋊₂D₁₂	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.36(Q8:3S3)	288,564
C₆.₃₇(Q₈⋊₃S₃) = C₃₆.₃Q₈	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	288	C6.37(Q8:3S3)	288,100
C₆.₃₈(Q₈⋊₃S₃) = C₄⋊C₄⋊₇D₉	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.38(Q8:3S3)	288,102
C₆.₃₉(Q₈⋊₃S₃) = D₃₆⋊C₄	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.39(Q8:3S3)	288,103
C₆.₄₀(Q₈⋊₃S₃) = D₁₈.D₄	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.40(Q8:3S3)	288,104
C₆.₄₁(Q₈⋊₃S₃) = C₄⋊D₃₆	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.41(Q8:3S3)	288,105
C₆.₄₂(Q₈⋊₃S₃) = C₄⋊C₄⋊D₉	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.42(Q8:3S3)	288,108
C₆.₄₃(Q₈⋊₃S₃) = Q₈×Dic₉	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	288	C6.43(Q8:3S3)	288,155
C₆.₄₄(Q₈⋊₃S₃) = D₁₈⋊₃Q₈	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.44(Q8:3S3)	288,156
C₆.₄₅(Q₈⋊₃S₃) = C₃₆.₂₃D₄	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.45(Q8:3S3)	288,157
C₆.₄₆(Q₈⋊₃S₃) = C₂×Q₈⋊₃D₉	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.46(Q8:3S3)	288,360
C₆.₄₇(Q₈⋊₃S₃) = C₆².₂₃₄C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	288	C6.47(Q8:3S3)	288,747
C₆.₄₈(Q₈⋊₃S₃) = C₆².₂₃₆C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.48(Q8:3S3)	288,749
C₆.₄₉(Q₈⋊₃S₃) = C₆².₂₃₇C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.49(Q8:3S3)	288,750
C₆.₅₀(Q₈⋊₃S₃) = C₆².₂₃₈C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.50(Q8:3S3)	288,751
C₆.₅₁(Q₈⋊₃S₃) = C₁₂⋊₃D₁₂	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.51(Q8:3S3)	288,752
C₆.₅₂(Q₈⋊₃S₃) = C₆².₂₄₂C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.52(Q8:3S3)	288,755
C₆.₅₃(Q₈⋊₃S₃) = Q₈×C₃⋊Dic₃	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	288	C6.53(Q8:3S3)	288,802
C₆.₅₄(Q₈⋊₃S₃) = C₆².₂₆₁C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.54(Q8:3S3)	288,803
C₆.₅₅(Q₈⋊₃S₃) = C₆².₂₆₂C₂³	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₆	144	C6.55(Q8:3S3)	288,804
C₆.₅₆(Q₈⋊₃S₃) = C₃×C₄.Dic₆	central extension (φ=1)	96	C6.56(Q8:3S3)	288,661
C₆.₅₇(Q₈⋊₃S₃) = C₃×C₄⋊C₄⋊₇S₃	central extension (φ=1)	96	C6.57(Q8:3S3)	288,663
C₆.₅₈(Q₈⋊₃S₃) = C₃×Dic₃⋊₅D₄	central extension (φ=1)	96	C6.58(Q8:3S3)	288,664
C₆.₅₉(Q₈⋊₃S₃) = C₃×D₆.D₄	central extension (φ=1)	96	C6.59(Q8:3S3)	288,665
C₆.₆₀(Q₈⋊₃S₃) = C₃×C₁₂⋊D₄	central extension (φ=1)	96	C6.60(Q8:3S3)	288,666
C₆.₆₁(Q₈⋊₃S₃) = C₃×C₄⋊C₄⋊S₃	central extension (φ=1)	96	C6.61(Q8:3S3)	288,669
C₆.₆₂(Q₈⋊₃S₃) = C₃×Q₈×Dic₃	central extension (φ=1)	96	C6.62(Q8:3S3)	288,716
C₆.₆₃(Q₈⋊₃S₃) = C₃×D₆⋊₃Q₈	central extension (φ=1)	96	C6.63(Q8:3S3)	288,717
C₆.₆₄(Q₈⋊₃S₃) = C₃×C₁₂.₂₃D₄	central extension (φ=1)	96	C6.64(Q8:3S3)	288,718

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Extensions 1→N→G→Q→1 with N=C6 and Q=Q8⋊3S3

Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈⋊₃S₃