Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂xS₃xC₃:S₃

Direct product G=NxQ with N=C₂ and Q=C₂xS₃xC₃:S₃

		d	ρ	Label	ID
C₂²xS₃xC₃:S₃		72		C2^2xS3xC3:S3	432,768

Non-split extensions G=N.Q with N=C₂ and Q=C₂xS₃xC₃:S₃

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂xS₃xC₃:S₃) = C₄xS₃xC₃:S₃	central extension (φ=1)	72	C2.1(C2xS3xC3:S3)	432,670
C₂.₂(C₂xS₃xC₃:S₃) = C₂xS₃xC₃:Dic₃	central extension (φ=1)	144	C2.2(C2xS3xC3:S3)	432,674
C₂.₃(C₂xS₃xC₃:S₃) = C₂xDic₃xC₃:S₃	central extension (φ=1)	144	C2.3(C2xS3xC3:S3)	432,677
C₂.₄(C₂xS₃xC₃:S₃) = C₂xC₃³:₈(C₂xC₄)	central extension (φ=1)	72	C2.4(C2xS3xC3:S3)	432,679
C₂.₅(C₂xS₃xC₃:S₃) = S₃xC₃²:₄Q₈	central stem extension (φ=1)	144	C2.5(C2xS3xC3:S3)	432,660
C₂.₆(C₂xS₃xC₃:S₃) = (C₃xD₁₂):S₃	central stem extension (φ=1)	144	C2.6(C2xS3xC3:S3)	432,661
C₂.₇(C₂xS₃xC₃:S₃) = D₁₂:(C₃:S₃)	central stem extension (φ=1)	72	C2.7(C2xS3xC3:S3)	432,662
C₂.₈(C₂xS₃xC₃:S₃) = C₃:S₃xDic₆	central stem extension (φ=1)	144	C2.8(C2xS3xC3:S3)	432,663
C₂.₉(C₂xS₃xC₃:S₃) = C₁₂.₃₉S₃²	central stem extension (φ=1)	72	C2.9(C2xS3xC3:S3)	432,664
C₂.₁₀(C₂xS₃xC₃:S₃) = C₁₂.₄₀S₃²	central stem extension (φ=1)	72	C2.10(C2xS3xC3:S3)	432,665
C₂.₁₁(C₂xS₃xC₃:S₃) = C₃²:₉(S₃xQ₈)	central stem extension (φ=1)	72	C2.11(C2xS3xC3:S3)	432,666
C₂.₁₂(C₂xS₃xC₃:S₃) = C₁₂.₇₃S₃²	central stem extension (φ=1)	72	C2.12(C2xS3xC3:S3)	432,667
C₂.₁₃(C₂xS₃xC₃:S₃) = C₁₂.₅₇S₃²	central stem extension (φ=1)	144	C2.13(C2xS3xC3:S3)	432,668
C₂.₁₄(C₂xS₃xC₃:S₃) = C₁₂.₅₈S₃²	central stem extension (φ=1)	72	C2.14(C2xS3xC3:S3)	432,669
C₂.₁₅(C₂xS₃xC₃:S₃) = S₃xC₁₂:S₃	central stem extension (φ=1)	72	C2.15(C2xS3xC3:S3)	432,671
C₂.₁₆(C₂xS₃xC₃:S₃) = C₃:S₃xD₁₂	central stem extension (φ=1)	72	C2.16(C2xS3xC3:S3)	432,672
C₂.₁₇(C₂xS₃xC₃:S₃) = C₁₂:S₃²	central stem extension (φ=1)	72	C2.17(C2xS3xC3:S3)	432,673
C₂.₁₈(C₂xS₃xC₃:S₃) = C₆².₉₀D₆	central stem extension (φ=1)	72	C2.18(C2xS3xC3:S3)	432,675
C₂.₁₉(C₂xS₃xC₃:S₃) = C₆².₉₁D₆	central stem extension (φ=1)	72	C2.19(C2xS3xC3:S3)	432,676
C₂.₂₀(C₂xS₃xC₃:S₃) = C₆².₉₃D₆	central stem extension (φ=1)	72	C2.20(C2xS3xC3:S3)	432,678
C₂.₂₁(C₂xS₃xC₃:S₃) = C₂xC₃³:₆D₄	central stem extension (φ=1)	144	C2.21(C2xS3xC3:S3)	432,680
C₂.₂₂(C₂xS₃xC₃:S₃) = C₂xC₃³:₇D₄	central stem extension (φ=1)	72	C2.22(C2xS3xC3:S3)	432,681
C₂.₂₃(C₂xS₃xC₃:S₃) = C₂xC₃³:₈D₄	central stem extension (φ=1)	72	C2.23(C2xS3xC3:S3)	432,682
C₂.₂₄(C₂xS₃xC₃:S₃) = C₂xC₃³:₄Q₈	central stem extension (φ=1)	144	C2.24(C2xS3xC3:S3)	432,683
C₂.₂₅(C₂xS₃xC₃:S₃) = S₃xC₃²:₇D₄	central stem extension (φ=1)	72	C2.25(C2xS3xC3:S3)	432,684
C₂.₂₆(C₂xS₃xC₃:S₃) = C₃:S₃xC₃:D₄	central stem extension (φ=1)	72	C2.26(C2xS3xC3:S3)	432,685
C₂.₂₇(C₂xS₃xC₃:S₃) = C₆²:₂₃D₆	central stem extension (φ=1)	36	C2.27(C2xS3xC3:S3)	432,686

Extensions 1→N→G→Q→1 with N=C2 and Q=C2xS3xC3:S3

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂xS₃xC₃:S₃