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

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

Semidirect products G=N:Q with N=C2×C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C2×C4) = S3×C22⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C2×C624(C2xC6):1(C2xC4)96,87
(C2×C6)⋊2(C2×C4) = Dic3⋊4D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C648(C2xC6):2(C2xC4)96,88
(C2×C6)⋊3(C2×C4) = D4×Dic3φ: C2×C4/C2 → C22 ⊆ Aut C2×C648(C2xC6):3(C2xC4)96,141
(C2×C6)⋊4(C2×C4) = D4×C12φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6):4(C2xC4)96,165
(C2×C6)⋊5(C2×C4) = C4×C3⋊D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6):5(C2xC4)96,135
(C2×C6)⋊6(C2×C4) = S3×C22×C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6):6(C2xC4)96,206
(C2×C6)⋊7(C2×C4) = C6×C22⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6):7(C2xC4)96,162
(C2×C6)⋊8(C2×C4) = C2×C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6):8(C2xC4)96,159
(C2×C6)⋊9(C2×C4) = C23×Dic3φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6):9(C2xC4)96,218

Non-split extensions G=N.Q with N=C2×C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C2×C4) = C23.6D6φ: C2×C4/C2 → C22 ⊆ Aut C2×C6244(C2xC6).1(C2xC4)96,13
(C2×C6).2(C2×C4) = C12.46D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C6244+(C2xC6).2(C2xC4)96,30
(C2×C6).3(C2×C4) = C12.47D4φ: C2×C4/C2 → C22 ⊆ Aut C2×C6484-(C2xC6).3(C2xC4)96,31
(C2×C6).4(C2×C4) = C23.16D6φ: C2×C4/C2 → C22 ⊆ Aut C2×C648(C2xC6).4(C2xC4)96,84
(C2×C6).5(C2×C4) = S3×M4(2)φ: C2×C4/C2 → C22 ⊆ Aut C2×C6244(C2xC6).5(C2xC4)96,113
(C2×C6).6(C2×C4) = D12.C4φ: C2×C4/C2 → C22 ⊆ Aut C2×C6484(C2xC6).6(C2xC4)96,114
(C2×C6).7(C2×C4) = D4.Dic3φ: C2×C4/C2 → C22 ⊆ Aut C2×C6484(C2xC6).7(C2xC4)96,155
(C2×C6).8(C2×C4) = C3×C8○D4φ: C2×C4/C4 → C2 ⊆ Aut C2×C6482(C2xC6).8(C2xC4)96,178
(C2×C6).9(C2×C4) = C8×Dic3φ: C2×C4/C4 → C2 ⊆ Aut C2×C696(C2xC6).9(C2xC4)96,20
(C2×C6).10(C2×C4) = Dic3⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C696(C2xC6).10(C2xC4)96,21
(C2×C6).11(C2×C4) = C24⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C696(C2xC6).11(C2xC4)96,22
(C2×C6).12(C2×C4) = D6⋊C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6).12(C2xC4)96,27
(C2×C6).13(C2×C4) = C6.C42φ: C2×C4/C4 → C2 ⊆ Aut C2×C696(C2xC6).13(C2xC4)96,38
(C2×C6).14(C2×C4) = S3×C2×C8φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6).14(C2xC4)96,106
(C2×C6).15(C2×C4) = C2×C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6).15(C2xC4)96,107
(C2×C6).16(C2×C4) = C8○D12φ: C2×C4/C4 → C2 ⊆ Aut C2×C6482(C2xC6).16(C2xC4)96,108
(C2×C6).17(C2×C4) = C2×Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C696(C2xC6).17(C2xC4)96,130
(C2×C6).18(C2×C4) = C2×D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2×C648(C2xC6).18(C2xC4)96,134
(C2×C6).19(C2×C4) = C3×C23⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C2×C6244(C2xC6).19(C2xC4)96,49
(C2×C6).20(C2×C4) = C3×C4.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C6244(C2xC6).20(C2xC4)96,50
(C2×C6).21(C2×C4) = C3×C4.10D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C6484(C2xC6).21(C2xC4)96,51
(C2×C6).22(C2×C4) = C3×C42⋊C2φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6).22(C2xC4)96,164
(C2×C6).23(C2×C4) = C6×M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6).23(C2xC4)96,177
(C2×C6).24(C2×C4) = C4×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).24(C2xC4)96,9
(C2×C6).25(C2×C4) = C42.S3φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).25(C2xC4)96,10
(C2×C6).26(C2×C4) = C12⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).26(C2xC4)96,11
(C2×C6).27(C2×C4) = C12.55D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6).27(C2xC4)96,37
(C2×C6).28(C2×C4) = C12.D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C6244(C2xC6).28(C2xC4)96,40
(C2×C6).29(C2×C4) = C23.7D6φ: C2×C4/C22 → C2 ⊆ Aut C2×C6244(C2xC6).29(C2xC4)96,41
(C2×C6).30(C2×C4) = C12.10D4φ: C2×C4/C22 → C2 ⊆ Aut C2×C6484(C2xC6).30(C2xC4)96,43
(C2×C6).31(C2×C4) = C22×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).31(C2xC4)96,127
(C2×C6).32(C2×C4) = C2×C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6).32(C2xC4)96,128
(C2×C6).33(C2×C4) = C2×C4×Dic3φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).33(C2xC4)96,129
(C2×C6).34(C2×C4) = C2×C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C2×C696(C2xC6).34(C2xC4)96,132
(C2×C6).35(C2×C4) = C23.26D6φ: C2×C4/C22 → C2 ⊆ Aut C2×C648(C2xC6).35(C2xC4)96,133
(C2×C6).36(C2×C4) = C3×C2.C42central extension (φ=1)96(C2xC6).36(C2xC4)96,45
(C2×C6).37(C2×C4) = C3×C8⋊C4central extension (φ=1)96(C2xC6).37(C2xC4)96,47
(C2×C6).38(C2×C4) = C3×C22⋊C8central extension (φ=1)48(C2xC6).38(C2xC4)96,48
(C2×C6).39(C2×C4) = C3×C4⋊C8central extension (φ=1)96(C2xC6).39(C2xC4)96,55
(C2×C6).40(C2×C4) = C6×C4⋊C4central extension (φ=1)96(C2xC6).40(C2xC4)96,163

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