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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×S3≀C2

Direct product G=N×Q with N=C2 and Q=C2×S3≀C2
dρLabelID
C22×S3≀C224C2^2xS3wrC2288,1031


Non-split extensions G=N.Q with N=C2 and Q=C2×S3≀C2
extensionφ:Q→Aut NdρLabelID
C2.1(C2×S3≀C2) = C4×S3≀C2central extension (φ=1)244C2.1(C2xS3wrC2)288,877
C2.2(C2×S3≀C2) = C2×S32⋊C4central extension (φ=1)24C2.2(C2xS3wrC2)288,880
C2.3(C2×S3≀C2) = C2×C3⋊S3.Q8central extension (φ=1)48C2.3(C2xS3wrC2)288,882
C2.4(C2×S3≀C2) = S32⋊Q8central stem extension (φ=1)244C2.4(C2xS3wrC2)288,868
C2.5(C2×S3≀C2) = C4.4S3≀C2central stem extension (φ=1)248+C2.5(C2xS3wrC2)288,869
C2.6(C2×S3≀C2) = C32⋊C4⋊Q8central stem extension (φ=1)488-C2.6(C2xS3wrC2)288,870
C2.7(C2×S3≀C2) = C32⋊D8⋊5C2central stem extension (φ=1)484C2.7(C2xS3wrC2)288,871
C2.8(C2×S3≀C2) = C32⋊D8⋊C2central stem extension (φ=1)244C2.8(C2xS3wrC2)288,872
C2.9(C2×S3≀C2) = C3⋊S3⋊D8central stem extension (φ=1)248+C2.9(C2xS3wrC2)288,873
C2.10(C2×S3≀C2) = C32⋊Q16⋊C2central stem extension (φ=1)484C2.10(C2xS3wrC2)288,874
C2.11(C2×S3≀C2) = C3⋊S3⋊2SD16central stem extension (φ=1)248+C2.11(C2xS3wrC2)288,875
C2.12(C2×S3≀C2) = C3⋊S3⋊Q16central stem extension (φ=1)488-C2.12(C2xS3wrC2)288,876
C2.13(C2×S3≀C2) = S32⋊D4central stem extension (φ=1)244C2.13(C2xS3wrC2)288,878
C2.14(C2×S3≀C2) = C4⋊S3≀C2central stem extension (φ=1)248+C2.14(C2xS3wrC2)288,879
C2.15(C2×S3≀C2) = C62.9D4central stem extension (φ=1)244C2.15(C2xS3wrC2)288,881
C2.16(C2×S3≀C2) = C2×C32⋊D8central stem extension (φ=1)48C2.16(C2xS3wrC2)288,883
C2.17(C2×S3≀C2) = C62.12D4central stem extension (φ=1)244C2.17(C2xS3wrC2)288,884
C2.18(C2×S3≀C2) = C62.13D4central stem extension (φ=1)488-C2.18(C2xS3wrC2)288,885
C2.19(C2×S3≀C2) = C2×C32⋊2SD16central stem extension (φ=1)48C2.19(C2xS3wrC2)288,886
C2.20(C2×S3≀C2) = C62.15D4central stem extension (φ=1)484-C2.20(C2xS3wrC2)288,887
C2.21(C2×S3≀C2) = C2×C32⋊Q16central stem extension (φ=1)96C2.21(C2xS3wrC2)288,888
C2.22(C2×S3≀C2) = D6≀C2central stem extension (φ=1)124+C2.22(C2xS3wrC2)288,889
C2.23(C2×S3≀C2) = C62⋊D4central stem extension (φ=1)248+C2.23(C2xS3wrC2)288,890

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