Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×S₃

Direct product G=N×Q with N=C₂² and Q=C₂²×S₃

		d	ρ	Label	ID
S₃×C₂⁴		48		S3xC2^4	96,230

Semidirect products G=N:Q with N=C₂² and Q=C₂²×S₃

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊(C₂²×S₃) = C₂²×S₄	φ: C₂²×S₃/C₂² → S₃ ⊆ Aut C₂²	12	C2^2:(C2^2xS3)	96,226
C₂²⋊₂(C₂²×S₃) = C₂×S₃×D₄	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₂²	24	C2^2:2(C2^2xS3)	96,209
C₂²⋊₃(C₂²×S₃) = C₂²×C₃⋊D₄	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48	C2^2:3(C2^2xS3)	96,219

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×S₃) = C₂×D₄⋊₂S₃	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₂²	48		C2^2.1(C2^2xS3)	96,210
C₂².₂(C₂²×S₃) = S₃×C₄○D₄	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.2(C2^2xS3)	96,215
C₂².₃(C₂²×S₃) = D₄○D₁₂	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₂²	24	4+	C2^2.3(C2^2xS3)	96,216
C₂².₄(C₂²×S₃) = Q₈○D₁₂	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₂²	48	4-	C2^2.4(C2^2xS3)	96,217
C₂².₅(C₂²×S₃) = C₂×C₄○D₁₂	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48		C2^2.5(C2^2xS3)	96,208
C₂².₆(C₂²×S₃) = D₄⋊₆D₆	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₂²	24	4	C2^2.6(C2^2xS3)	96,211
C₂².₇(C₂²×S₃) = Q₈.₁₅D₆	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₂²	48	4	C2^2.7(C2^2xS3)	96,214
C₂².₈(C₂²×S₃) = C₄×Dic₆	central extension (φ=1)	96		C2^2.8(C2^2xS3)	96,75
C₂².₉(C₂²×S₃) = S₃×C₄²	central extension (φ=1)	48		C2^2.9(C2^2xS3)	96,78
C₂².₁₀(C₂²×S₃) = C₄²⋊₂S₃	central extension (φ=1)	48		C2^2.10(C2^2xS3)	96,79
C₂².₁₁(C₂²×S₃) = C₄×D₁₂	central extension (φ=1)	48		C2^2.11(C2^2xS3)	96,80
C₂².₁₂(C₂²×S₃) = C₂³.₁₆D₆	central extension (φ=1)	48		C2^2.12(C2^2xS3)	96,84
C₂².₁₃(C₂²×S₃) = S₃×C₂²⋊C₄	central extension (φ=1)	24		C2^2.13(C2^2xS3)	96,87
C₂².₁₄(C₂²×S₃) = Dic₃⋊₄D₄	central extension (φ=1)	48		C2^2.14(C2^2xS3)	96,88
C₂².₁₅(C₂²×S₃) = Dic₆⋊C₄	central extension (φ=1)	96		C2^2.15(C2^2xS3)	96,94
C₂².₁₆(C₂²×S₃) = S₃×C₄⋊C₄	central extension (φ=1)	48		C2^2.16(C2^2xS3)	96,98
C₂².₁₇(C₂²×S₃) = C₄⋊C₄⋊₇S₃	central extension (φ=1)	48		C2^2.17(C2^2xS3)	96,99
C₂².₁₈(C₂²×S₃) = Dic₃⋊₅D₄	central extension (φ=1)	48		C2^2.18(C2^2xS3)	96,100
C₂².₁₉(C₂²×S₃) = C₂×C₄×Dic₃	central extension (φ=1)	96		C2^2.19(C2^2xS3)	96,129
C₂².₂₀(C₂²×S₃) = C₂×Dic₃⋊C₄	central extension (φ=1)	96		C2^2.20(C2^2xS3)	96,130
C₂².₂₁(C₂²×S₃) = C₂×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.21(C2^2xS3)	96,132
C₂².₂₂(C₂²×S₃) = C₂³.₂₆D₆	central extension (φ=1)	48		C2^2.22(C2^2xS3)	96,133
C₂².₂₃(C₂²×S₃) = C₂×D₆⋊C₄	central extension (φ=1)	48		C2^2.23(C2^2xS3)	96,134
C₂².₂₄(C₂²×S₃) = C₄×C₃⋊D₄	central extension (φ=1)	48		C2^2.24(C2^2xS3)	96,135
C₂².₂₅(C₂²×S₃) = D₄×Dic₃	central extension (φ=1)	48		C2^2.25(C2^2xS3)	96,141
C₂².₂₆(C₂²×S₃) = Q₈×Dic₃	central extension (φ=1)	96		C2^2.26(C2^2xS3)	96,152
C₂².₂₇(C₂²×S₃) = C₂×C₆.D₄	central extension (φ=1)	48		C2^2.27(C2^2xS3)	96,159
C₂².₂₈(C₂²×S₃) = C₂²×Dic₆	central extension (φ=1)	96		C2^2.28(C2^2xS3)	96,205
C₂².₂₉(C₂²×S₃) = S₃×C₂²×C₄	central extension (φ=1)	48		C2^2.29(C2^2xS3)	96,206
C₂².₃₀(C₂²×S₃) = C₂²×D₁₂	central extension (φ=1)	48		C2^2.30(C2^2xS3)	96,207
C₂².₃₁(C₂²×S₃) = C₂×S₃×Q₈	central extension (φ=1)	48		C2^2.31(C2^2xS3)	96,212
C₂².₃₂(C₂²×S₃) = C₂×Q₈⋊₃S₃	central extension (φ=1)	48		C2^2.32(C2^2xS3)	96,213
C₂².₃₃(C₂²×S₃) = C₂³×Dic₃	central extension (φ=1)	96		C2^2.33(C2^2xS3)	96,218
C₂².₃₄(C₂²×S₃) = C₁₂⋊₂Q₈	central stem extension (φ=1)	96		C2^2.34(C2^2xS3)	96,76
C₂².₃₅(C₂²×S₃) = C₁₂.₆Q₈	central stem extension (φ=1)	96		C2^2.35(C2^2xS3)	96,77
C₂².₃₆(C₂²×S₃) = C₄⋊D₁₂	central stem extension (φ=1)	48		C2^2.36(C2^2xS3)	96,81
C₂².₃₇(C₂²×S₃) = C₄²⋊₇S₃	central stem extension (φ=1)	48		C2^2.37(C2^2xS3)	96,82
C₂².₃₈(C₂²×S₃) = C₄²⋊₃S₃	central stem extension (φ=1)	48		C2^2.38(C2^2xS3)	96,83
C₂².₃₉(C₂²×S₃) = Dic₃.D₄	central stem extension (φ=1)	48		C2^2.39(C2^2xS3)	96,85
C₂².₄₀(C₂²×S₃) = C₂³.₈D₆	central stem extension (φ=1)	48		C2^2.40(C2^2xS3)	96,86
C₂².₄₁(C₂²×S₃) = D₆⋊D₄	central stem extension (φ=1)	24		C2^2.41(C2^2xS3)	96,89
C₂².₄₂(C₂²×S₃) = C₂³.₉D₆	central stem extension (φ=1)	48		C2^2.42(C2^2xS3)	96,90
C₂².₄₃(C₂²×S₃) = Dic₃⋊D₄	central stem extension (φ=1)	48		C2^2.43(C2^2xS3)	96,91
C₂².₄₄(C₂²×S₃) = C₂³.₁₁D₆	central stem extension (φ=1)	48		C2^2.44(C2^2xS3)	96,92
C₂².₄₅(C₂²×S₃) = C₂³.₂₁D₆	central stem extension (φ=1)	48		C2^2.45(C2^2xS3)	96,93
C₂².₄₆(C₂²×S₃) = C₁₂⋊Q₈	central stem extension (φ=1)	96		C2^2.46(C2^2xS3)	96,95
C₂².₄₇(C₂²×S₃) = Dic₃.Q₈	central stem extension (φ=1)	96		C2^2.47(C2^2xS3)	96,96
C₂².₄₈(C₂²×S₃) = C₄.Dic₆	central stem extension (φ=1)	96		C2^2.48(C2^2xS3)	96,97
C₂².₄₉(C₂²×S₃) = D₆.D₄	central stem extension (φ=1)	48		C2^2.49(C2^2xS3)	96,101
C₂².₅₀(C₂²×S₃) = C₁₂⋊D₄	central stem extension (φ=1)	48		C2^2.50(C2^2xS3)	96,102
C₂².₅₁(C₂²×S₃) = D₆⋊Q₈	central stem extension (φ=1)	48		C2^2.51(C2^2xS3)	96,103
C₂².₅₂(C₂²×S₃) = C₄.D₁₂	central stem extension (φ=1)	48		C2^2.52(C2^2xS3)	96,104
C₂².₅₃(C₂²×S₃) = C₄⋊C₄⋊S₃	central stem extension (φ=1)	48		C2^2.53(C2^2xS3)	96,105
C₂².₅₄(C₂²×S₃) = C₁₂.₄₈D₄	central stem extension (φ=1)	48		C2^2.54(C2^2xS3)	96,131
C₂².₅₅(C₂²×S₃) = C₂³.₂₈D₆	central stem extension (φ=1)	48		C2^2.55(C2^2xS3)	96,136
C₂².₅₆(C₂²×S₃) = C₁₂⋊₇D₄	central stem extension (φ=1)	48		C2^2.56(C2^2xS3)	96,137
C₂².₅₇(C₂²×S₃) = C₂³.₂₃D₆	central stem extension (φ=1)	48		C2^2.57(C2^2xS3)	96,142
C₂².₅₈(C₂²×S₃) = C₂³.₁₂D₆	central stem extension (φ=1)	48		C2^2.58(C2^2xS3)	96,143
C₂².₅₉(C₂²×S₃) = C₂³⋊₂D₆	central stem extension (φ=1)	24		C2^2.59(C2^2xS3)	96,144
C₂².₆₀(C₂²×S₃) = D₆⋊₃D₄	central stem extension (φ=1)	48		C2^2.60(C2^2xS3)	96,145
C₂².₆₁(C₂²×S₃) = C₂³.₁₄D₆	central stem extension (φ=1)	48		C2^2.61(C2^2xS3)	96,146
C₂².₆₂(C₂²×S₃) = C₁₂⋊₃D₄	central stem extension (φ=1)	48		C2^2.62(C2^2xS3)	96,147
C₂².₆₃(C₂²×S₃) = Dic₃⋊Q₈	central stem extension (φ=1)	96		C2^2.63(C2^2xS3)	96,151
C₂².₆₄(C₂²×S₃) = D₆⋊₃Q₈	central stem extension (φ=1)	48		C2^2.64(C2^2xS3)	96,153
C₂².₆₅(C₂²×S₃) = C₁₂.₂₃D₄	central stem extension (φ=1)	48		C2^2.65(C2^2xS3)	96,154
C₂².₆₆(C₂²×S₃) = C₂⁴⋊₄S₃	central stem extension (φ=1)	24		C2^2.66(C2^2xS3)	96,160

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×S3

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×S₃