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

Direct product G=N×Q with N=C2×C4 and Q=C2×C6
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C2×C4 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C2×C6) = C3×C22≀C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C424(C2xC4):1(C2xC6)96,167
(C2×C4)⋊2(C2×C6) = C3×2+ 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C4244(C2xC4):2(C2xC6)96,224
(C2×C4)⋊3(C2×C6) = C6×C22⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4):3(C2xC6)96,162
(C2×C4)⋊4(C2×C6) = D4×C2×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4):4(C2xC6)96,221
(C2×C4)⋊5(C2×C6) = C6×C4○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4):5(C2xC6)96,223

Non-split extensions G=N.Q with N=C2×C4 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C2×C6) = C3×C4.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C4244(C2xC4).1(C2xC6)96,50
(C2×C4).2(C2×C6) = C3×C4.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C4484(C2xC4).2(C2xC6)96,51
(C2×C4).3(C2×C6) = C3×C4⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C448(C2xC4).3(C2xC6)96,168
(C2×C4).4(C2×C6) = C3×C22⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C448(C2xC4).4(C2xC6)96,169
(C2×C4).5(C2×C6) = C3×C22.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C448(C2xC4).5(C2xC6)96,170
(C2×C4).6(C2×C6) = C3×C4.4D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C448(C2xC4).6(C2xC6)96,171
(C2×C4).7(C2×C6) = C3×C42.C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C496(C2xC4).7(C2xC6)96,172
(C2×C4).8(C2×C6) = C3×C42⋊2C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C448(C2xC4).8(C2xC6)96,173
(C2×C4).9(C2×C6) = C3×C4⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C496(C2xC4).9(C2xC6)96,175
(C2×C4).10(C2×C6) = C3×C8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C4244(C2xC4).10(C2xC6)96,183
(C2×C4).11(C2×C6) = C3×C8.C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C4484(C2xC4).11(C2xC6)96,184
(C2×C4).12(C2×C6) = C3×2- 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C4484(C2xC4).12(C2xC6)96,225
(C2×C4).13(C2×C6) = C6×C4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).13(C2xC6)96,163
(C2×C4).14(C2×C6) = C3×C42⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).14(C2xC6)96,164
(C2×C4).15(C2×C6) = D4×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).15(C2xC6)96,165
(C2×C4).16(C2×C6) = Q8×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).16(C2xC6)96,166
(C2×C4).17(C2×C6) = C3×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).17(C2xC6)96,52
(C2×C4).18(C2×C6) = C3×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).18(C2xC6)96,53
(C2×C4).19(C2×C6) = C3×C4≀C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C4242(C2xC4).19(C2xC6)96,54
(C2×C4).20(C2×C6) = C3×C4.Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).20(C2xC6)96,56
(C2×C4).21(C2×C6) = C3×C2.D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).21(C2xC6)96,57
(C2×C4).22(C2×C6) = C3×C8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C4482(C2xC4).22(C2xC6)96,58
(C2×C4).23(C2×C6) = C3×C4⋊1D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).23(C2xC6)96,174
(C2×C4).24(C2×C6) = C3×C8○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C4482(C2xC4).24(C2xC6)96,178
(C2×C4).25(C2×C6) = C6×D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).25(C2xC6)96,179
(C2×C4).26(C2×C6) = C6×SD16φ: C2×C6/C6 → C2 ⊆ Aut C2×C448(C2xC4).26(C2xC6)96,180
(C2×C4).27(C2×C6) = C6×Q16φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).27(C2xC6)96,181
(C2×C4).28(C2×C6) = C3×C4○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C4482(C2xC4).28(C2xC6)96,182
(C2×C4).29(C2×C6) = Q8×C2×C6φ: C2×C6/C6 → C2 ⊆ Aut C2×C496(C2xC4).29(C2xC6)96,222
(C2×C4).30(C2×C6) = C3×C8⋊C4central extension (φ=1)96(C2xC4).30(C2xC6)96,47
(C2×C4).31(C2×C6) = C3×C22⋊C8central extension (φ=1)48(C2xC4).31(C2xC6)96,48
(C2×C4).32(C2×C6) = C3×C4⋊C8central extension (φ=1)96(C2xC4).32(C2xC6)96,55
(C2×C4).33(C2×C6) = C6×M4(2)central extension (φ=1)48(C2xC4).33(C2xC6)96,177

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