# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C3×Q8

Direct product G=N×Q with N=C2×C4 and Q=C3×Q8
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C2×C4 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C3×Q8) = C3×C23.78C23φ: C3×Q8/C6C22 ⊆ Aut C2×C4192(C2xC4):1(C3xQ8)192,828
(C2×C4)⋊2(C3×Q8) = C3×C23.41C23φ: C3×Q8/C6C22 ⊆ Aut C2×C496(C2xC4):2(C3xQ8)192,1433
(C2×C4)⋊3(C3×Q8) = C3×C23.67C23φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4):3(C3xQ8)192,824
(C2×C4)⋊4(C3×Q8) = C6×C4⋊Q8φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4):4(C3xQ8)192,1420
(C2×C4)⋊5(C3×Q8) = C3×C23.37C23φ: C3×Q8/C12C2 ⊆ Aut C2×C496(C2xC4):5(C3xQ8)192,1422

Non-split extensions G=N.Q with N=C2×C4 and Q=C3×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C3×Q8) = C3×C4.9C42φ: C3×Q8/C6C22 ⊆ Aut C2×C4484(C2xC4).1(C3xQ8)192,143
(C2×C4).2(C3×Q8) = C3×C22.C42φ: C3×Q8/C6C22 ⊆ Aut C2×C496(C2xC4).2(C3xQ8)192,149
(C2×C4).3(C3×Q8) = C3×M4(2)⋊4C4φ: C3×Q8/C6C22 ⊆ Aut C2×C4484(C2xC4).3(C3xQ8)192,150
(C2×C4).4(C3×Q8) = C3×C23.81C23φ: C3×Q8/C6C22 ⊆ Aut C2×C4192(C2xC4).4(C3xQ8)192,831
(C2×C4).5(C3×Q8) = C3×C23.83C23φ: C3×Q8/C6C22 ⊆ Aut C2×C4192(C2xC4).5(C3xQ8)192,833
(C2×C4).6(C3×Q8) = C3×M4(2)⋊C4φ: C3×Q8/C6C22 ⊆ Aut C2×C496(C2xC4).6(C3xQ8)192,861
(C2×C4).7(C3×Q8) = C3×M4(2).C4φ: C3×Q8/C6C22 ⊆ Aut C2×C4484(C2xC4).7(C3xQ8)192,863
(C2×C4).8(C3×Q8) = C3×C82C8φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).8(C3xQ8)192,140
(C2×C4).9(C3×Q8) = C3×C81C8φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).9(C3xQ8)192,141
(C2×C4).10(C3×Q8) = C3×C23.63C23φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).10(C3xQ8)192,820
(C2×C4).11(C3×Q8) = C3×C23.65C23φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).11(C3xQ8)192,822
(C2×C4).12(C3×Q8) = C3×C426C4φ: C3×Q8/C12C2 ⊆ Aut C2×C448(C2xC4).12(C3xQ8)192,145
(C2×C4).13(C3×Q8) = C3×C22.4Q16φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).13(C3xQ8)192,146
(C2×C4).14(C3×Q8) = C3×C428C4φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).14(C3xQ8)192,815
(C2×C4).15(C3×Q8) = C3×C429C4φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).15(C3xQ8)192,817
(C2×C4).16(C3×Q8) = C3×C4⋊M4(2)φ: C3×Q8/C12C2 ⊆ Aut C2×C496(C2xC4).16(C3xQ8)192,856
(C2×C4).17(C3×Q8) = C3×C42.6C22φ: C3×Q8/C12C2 ⊆ Aut C2×C496(C2xC4).17(C3xQ8)192,857
(C2×C4).18(C3×Q8) = C6×C4.Q8φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).18(C3xQ8)192,858
(C2×C4).19(C3×Q8) = C6×C2.D8φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).19(C3xQ8)192,859
(C2×C4).20(C3×Q8) = C3×C23.25D4φ: C3×Q8/C12C2 ⊆ Aut C2×C496(C2xC4).20(C3xQ8)192,860
(C2×C4).21(C3×Q8) = C6×C8.C4φ: C3×Q8/C12C2 ⊆ Aut C2×C496(C2xC4).21(C3xQ8)192,862
(C2×C4).22(C3×Q8) = C6×C42.C2φ: C3×Q8/C12C2 ⊆ Aut C2×C4192(C2xC4).22(C3xQ8)192,1416
(C2×C4).23(C3×Q8) = C3×C22.7C42central extension (φ=1)192(C2xC4).23(C3xQ8)192,142
(C2×C4).24(C3×Q8) = C12×C4⋊C4central extension (φ=1)192(C2xC4).24(C3xQ8)192,811
(C2×C4).25(C3×Q8) = C6×C4⋊C8central extension (φ=1)192(C2xC4).25(C3xQ8)192,855

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