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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C32⋊C4

Direct product G=N×Q with N=C6 and Q=C2×C32⋊C4
dρLabelID
C2×C6×C32⋊C448C2xC6xC3^2:C4432,765

Semidirect products G=N:Q with N=C6 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C32⋊C4) = C2×S3×C32⋊C4φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6248+C6:1(C2xC3^2:C4)432,753
C6⋊2(C2×C32⋊C4) = C22×C33⋊C4φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C648C6:2(C2xC3^2:C4)432,766

Non-split extensions G=N.Q with N=C6 and Q=C2×C32⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C32⋊C4) = Dic3×C32⋊C4φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6488-C6.1(C2xC3^2:C4)432,567
C6.2(C2×C32⋊C4) = D6⋊(C32⋊C4)φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6248+C6.2(C2xC3^2:C4)432,568
C6.3(C2×C32⋊C4) = C33⋊(C4⋊C4)φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6488-C6.3(C2xC3^2:C4)432,569
C6.4(C2×C32⋊C4) = S3×C32⋊2C8φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6488-C6.4(C2xC3^2:C4)432,570
C6.5(C2×C32⋊C4) = C33⋊5(C2×C8)φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6248+C6.5(C2xC3^2:C4)432,571
C6.6(C2×C32⋊C4) = C33⋊M4(2)φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6488-C6.6(C2xC3^2:C4)432,572
C6.7(C2×C32⋊C4) = C33⋊2M4(2)φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C6248+C6.7(C2xC3^2:C4)432,573
C6.8(C2×C32⋊C4) = C33⋊7(C2×C8)φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6484C6.8(C2xC3^2:C4)432,635
C6.9(C2×C32⋊C4) = C33⋊4M4(2)φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6484C6.9(C2xC3^2:C4)432,636
C6.10(C2×C32⋊C4) = C4×C33⋊C4φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6484C6.10(C2xC3^2:C4)432,637
C6.11(C2×C32⋊C4) = C33⋊9(C4⋊C4)φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6484C6.11(C2xC3^2:C4)432,638
C6.12(C2×C32⋊C4) = C2×C33⋊4C8φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C648C6.12(C2xC3^2:C4)432,639
C6.13(C2×C32⋊C4) = C33⋊12M4(2)φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6244C6.13(C2xC3^2:C4)432,640
C6.14(C2×C32⋊C4) = C62⋊11Dic3φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C6244C6.14(C2xC3^2:C4)432,641
C6.15(C2×C32⋊C4) = He3⋊2(C2×C8)central extension (φ=1)723C6.15(C2xC3^2:C4)432,273
C6.16(C2×C32⋊C4) = C4×He3⋊C4central extension (φ=1)723C6.16(C2xC3^2:C4)432,275
C6.17(C2×C32⋊C4) = C2×He3⋊2C8central extension (φ=1)144C6.17(C2xC3^2:C4)432,277
C6.18(C2×C32⋊C4) = C22×He3⋊C4central extension (φ=1)72C6.18(C2xC3^2:C4)432,543
C6.19(C2×C32⋊C4) = C3×C3⋊S3⋊3C8central extension (φ=1)484C6.19(C2xC3^2:C4)432,628
C6.20(C2×C32⋊C4) = C3×C32⋊M4(2)central extension (φ=1)484C6.20(C2xC3^2:C4)432,629
C6.21(C2×C32⋊C4) = C12×C32⋊C4central extension (φ=1)484C6.21(C2xC3^2:C4)432,630
C6.22(C2×C32⋊C4) = C3×C4⋊(C32⋊C4)central extension (φ=1)484C6.22(C2xC3^2:C4)432,631
C6.23(C2×C32⋊C4) = C6×C32⋊2C8central extension (φ=1)48C6.23(C2xC3^2:C4)432,632
C6.24(C2×C32⋊C4) = C3×C62.C4central extension (φ=1)244C6.24(C2xC3^2:C4)432,633
C6.25(C2×C32⋊C4) = C3×C62⋊C4central extension (φ=1)244C6.25(C2xC3^2:C4)432,634
C6.26(C2×C32⋊C4) = He3⋊1M4(2)central stem extension (φ=1)726C6.26(C2xC3^2:C4)432,274
C6.27(C2×C32⋊C4) = C4⋊(He3⋊C4)central stem extension (φ=1)726C6.27(C2xC3^2:C4)432,276
C6.28(C2×C32⋊C4) = He3⋊4M4(2)central stem extension (φ=1)726C6.28(C2xC3^2:C4)432,278
C6.29(C2×C32⋊C4) = C22⋊(He3⋊C4)central stem extension (φ=1)366C6.29(C2xC3^2:C4)432,279

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