Extensions 1→N→G→Q→1 with N=C2 and Q=C3×D4×D5

Direct product G=N×Q with N=C2 and Q=C3×D4×D5
dρLabelID
C6×D4×D5120C6xD4xD5480,1139


Non-split extensions G=N.Q with N=C2 and Q=C3×D4×D5
extensionφ:Q→Aut NdρLabelID
C2.1(C3×D4×D5) = C3×D5×C22⋊C4central extension (φ=1)120C2.1(C3xD4xD5)480,673
C2.2(C3×D4×D5) = C3×Dic54D4central extension (φ=1)240C2.2(C3xD4xD5)480,674
C2.3(C3×D4×D5) = C3×D5×C4⋊C4central extension (φ=1)240C2.3(C3xD4xD5)480,684
C2.4(C3×D4×D5) = C3×D208C4central extension (φ=1)240C2.4(C3xD4xD5)480,686
C2.5(C3×D4×D5) = C3×D4×Dic5central extension (φ=1)240C2.5(C3xD4xD5)480,727
C2.6(C3×D4×D5) = C3×Dic5.14D4central stem extension (φ=1)240C2.6(C3xD4xD5)480,671
C2.7(C3×D4×D5) = C3×C22⋊D20central stem extension (φ=1)120C2.7(C3xD4xD5)480,675
C2.8(C3×D4×D5) = C3×D10.12D4central stem extension (φ=1)240C2.8(C3xD4xD5)480,676
C2.9(C3×D4×D5) = C3×D10⋊D4central stem extension (φ=1)240C2.9(C3xD4xD5)480,677
C2.10(C3×D4×D5) = C3×Dic5.5D4central stem extension (φ=1)240C2.10(C3xD4xD5)480,678
C2.11(C3×D4×D5) = C3×C20⋊Q8central stem extension (φ=1)480C2.11(C3xD4xD5)480,681
C2.12(C3×D4×D5) = C3×D10.13D4central stem extension (φ=1)240C2.12(C3xD4xD5)480,687
C2.13(C3×D4×D5) = C3×C4⋊D20central stem extension (φ=1)240C2.13(C3xD4xD5)480,688
C2.14(C3×D4×D5) = C3×D10⋊Q8central stem extension (φ=1)240C2.14(C3xD4xD5)480,689
C2.15(C3×D4×D5) = C3×D5×D8central stem extension (φ=1)1204C2.15(C3xD4xD5)480,703
C2.16(C3×D4×D5) = C3×D8⋊D5central stem extension (φ=1)1204C2.16(C3xD4xD5)480,704
C2.17(C3×D4×D5) = C3×D83D5central stem extension (φ=1)2404C2.17(C3xD4xD5)480,705
C2.18(C3×D4×D5) = C3×D5×SD16central stem extension (φ=1)1204C2.18(C3xD4xD5)480,706
C2.19(C3×D4×D5) = C3×D40⋊C2central stem extension (φ=1)1204C2.19(C3xD4xD5)480,707
C2.20(C3×D4×D5) = C3×SD16⋊D5central stem extension (φ=1)2404C2.20(C3xD4xD5)480,708
C2.21(C3×D4×D5) = C3×SD163D5central stem extension (φ=1)2404C2.21(C3xD4xD5)480,709
C2.22(C3×D4×D5) = C3×D5×Q16central stem extension (φ=1)2404C2.22(C3xD4xD5)480,710
C2.23(C3×D4×D5) = C3×Q16⋊D5central stem extension (φ=1)2404C2.23(C3xD4xD5)480,711
C2.24(C3×D4×D5) = C3×Q8.D10central stem extension (φ=1)2404C2.24(C3xD4xD5)480,712
C2.25(C3×D4×D5) = C3×C23⋊D10central stem extension (φ=1)120C2.25(C3xD4xD5)480,730
C2.26(C3×D4×D5) = C3×C202D4central stem extension (φ=1)240C2.26(C3xD4xD5)480,731
C2.27(C3×D4×D5) = C3×Dic5⋊D4central stem extension (φ=1)240C2.27(C3xD4xD5)480,732
C2.28(C3×D4×D5) = C3×C20⋊D4central stem extension (φ=1)240C2.28(C3xD4xD5)480,733

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