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Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C4:C4

Direct product G=NxQ with N=C2xC6 and Q=C4:C4
dρLabelID
C2xC6xC4:C4192C2xC6xC4:C4192,1402

Semidirect products G=N:Q with N=C2xC6 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
(C2xC6):1(C4:C4) = C24.55D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6):1(C4:C4)192,501
(C2xC6):2(C4:C4) = C24.57D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6):2(C4:C4)192,505
(C2xC6):3(C4:C4) = C24.58D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6):3(C4:C4)192,509
(C2xC6):4(C4:C4) = C3xC23.7Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6):4(C4:C4)192,813
(C2xC6):5(C4:C4) = C3xC23.8Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6):5(C4:C4)192,818
(C2xC6):6(C4:C4) = C24.73D6φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6):6(C4:C4)192,769
(C2xC6):7(C4:C4) = C24.75D6φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6):7(C4:C4)192,771
(C2xC6):8(C4:C4) = C22xDic3:C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6):8(C4:C4)192,1342
(C2xC6):9(C4:C4) = C22xC4:Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6):9(C4:C4)192,1344

Non-split extensions G=N.Q with N=C2xC6 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
(C2xC6).1(C4:C4) = C24.12D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC648(C2xC6).1(C4:C4)192,85
(C2xC6).2(C4:C4) = C24.13D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC648(C2xC6).2(C4:C4)192,86
(C2xC6).3(C4:C4) = C42:3Dic3φ: C4:C4/C22 → C22 ⊆ Aut C2xC6484(C2xC6).3(C4:C4)192,90
(C2xC6).4(C4:C4) = C12.2C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC648(C2xC6).4(C4:C4)192,91
(C2xC6).5(C4:C4) = (C2xC12).Q8φ: C4:C4/C22 → C22 ⊆ Aut C2xC6484(C2xC6).5(C4:C4)192,92
(C2xC6).6(C4:C4) = M4(2):Dic3φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).6(C4:C4)192,113
(C2xC6).7(C4:C4) = C12.3C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC648(C2xC6).7(C4:C4)192,114
(C2xC6).8(C4:C4) = (C2xC24):C4φ: C4:C4/C22 → C22 ⊆ Aut C2xC6484(C2xC6).8(C4:C4)192,115
(C2xC6).9(C4:C4) = C12.4C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).9(C4:C4)192,117
(C2xC6).10(C4:C4) = C12.21C42φ: C4:C4/C22 → C22 ⊆ Aut C2xC6484(C2xC6).10(C4:C4)192,119
(C2xC6).11(C4:C4) = C4:C4.232D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).11(C4:C4)192,554
(C2xC6).12(C4:C4) = C4:C4.234D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).12(C4:C4)192,557
(C2xC6).13(C4:C4) = C42.43D6φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).13(C4:C4)192,558
(C2xC6).14(C4:C4) = Dic3:4M4(2)φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).14(C4:C4)192,677
(C2xC6).15(C4:C4) = C12.88(C2xQ8)φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).15(C4:C4)192,678
(C2xC6).16(C4:C4) = C23.52D12φ: C4:C4/C22 → C22 ⊆ Aut C2xC696(C2xC6).16(C4:C4)192,680
(C2xC6).17(C4:C4) = C23.9Dic6φ: C4:C4/C22 → C22 ⊆ Aut C2xC6484(C2xC6).17(C4:C4)192,684
(C2xC6).18(C4:C4) = C3xC4.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).18(C4:C4)192,143
(C2xC6).19(C4:C4) = C3xC4.10C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).19(C4:C4)192,144
(C2xC6).20(C4:C4) = C3xC42:6C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC648(C2xC6).20(C4:C4)192,145
(C2xC6).21(C4:C4) = C3xC23.9D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC648(C2xC6).21(C4:C4)192,148
(C2xC6).22(C4:C4) = C3xC22.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).22(C4:C4)192,149
(C2xC6).23(C4:C4) = C3xM4(2):4C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).23(C4:C4)192,150
(C2xC6).24(C4:C4) = C3xC4:M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).24(C4:C4)192,856
(C2xC6).25(C4:C4) = C3xC42.6C22φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).25(C4:C4)192,857
(C2xC6).26(C4:C4) = C3xC23.25D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).26(C4:C4)192,860
(C2xC6).27(C4:C4) = C3xM4(2):C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).27(C4:C4)192,861
(C2xC6).28(C4:C4) = C3xM4(2).C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).28(C4:C4)192,863
(C2xC6).29(C4:C4) = C24:2C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).29(C4:C4)192,16
(C2xC6).30(C4:C4) = C24:1C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).30(C4:C4)192,17
(C2xC6).31(C4:C4) = C12.53D8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).31(C4:C4)192,38
(C2xC6).32(C4:C4) = C12.39SD16φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).32(C4:C4)192,39
(C2xC6).33(C4:C4) = C12.8C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC648(C2xC6).33(C4:C4)192,82
(C2xC6).34(C4:C4) = (C2xC12):3C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).34(C4:C4)192,83
(C2xC6).35(C4:C4) = C12.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).35(C4:C4)192,88
(C2xC6).36(C4:C4) = C12.(C4:C4)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).36(C4:C4)192,89
(C2xC6).37(C4:C4) = (C2xC24):5C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).37(C4:C4)192,109
(C2xC6).38(C4:C4) = C12.9C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).38(C4:C4)192,110
(C2xC6).39(C4:C4) = C12.10C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).39(C4:C4)192,111
(C2xC6).40(C4:C4) = C12.20C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).40(C4:C4)192,116
(C2xC6).41(C4:C4) = M4(2):4Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).41(C4:C4)192,118
(C2xC6).42(C4:C4) = C2xC12:C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).42(C4:C4)192,482
(C2xC6).43(C4:C4) = C12:7M4(2)φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).43(C4:C4)192,483
(C2xC6).44(C4:C4) = C2xC6.Q16φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).44(C4:C4)192,521
(C2xC6).45(C4:C4) = C2xC12.Q8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).45(C4:C4)192,522
(C2xC6).46(C4:C4) = C4:C4.225D6φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).46(C4:C4)192,523
(C2xC6).47(C4:C4) = C2xDic3:C8φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).47(C4:C4)192,658
(C2xC6).48(C4:C4) = Dic3:C8:C2φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).48(C4:C4)192,661
(C2xC6).49(C4:C4) = C2xC8:Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).49(C4:C4)192,663
(C2xC6).50(C4:C4) = C2xC24:1C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).50(C4:C4)192,664
(C2xC6).51(C4:C4) = C23.27D12φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).51(C4:C4)192,665
(C2xC6).52(C4:C4) = C2xC24.C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).52(C4:C4)192,666
(C2xC6).53(C4:C4) = C2xC12.53D4φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC696(C2xC6).53(C4:C4)192,682
(C2xC6).54(C4:C4) = C23.8Dic6φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6484(C2xC6).54(C4:C4)192,683
(C2xC6).55(C4:C4) = C2xC6.C42φ: C4:C4/C2xC4 → C2 ⊆ Aut C2xC6192(C2xC6).55(C4:C4)192,767
(C2xC6).56(C4:C4) = C3xC8:2C8central extension (φ=1)192(C2xC6).56(C4:C4)192,140
(C2xC6).57(C4:C4) = C3xC8:1C8central extension (φ=1)192(C2xC6).57(C4:C4)192,141
(C2xC6).58(C4:C4) = C3xC22.7C42central extension (φ=1)192(C2xC6).58(C4:C4)192,142
(C2xC6).59(C4:C4) = C3xC22.4Q16central extension (φ=1)192(C2xC6).59(C4:C4)192,146
(C2xC6).60(C4:C4) = C3xC4.C42central extension (φ=1)96(C2xC6).60(C4:C4)192,147
(C2xC6).61(C4:C4) = C6xC2.C42central extension (φ=1)192(C2xC6).61(C4:C4)192,808
(C2xC6).62(C4:C4) = C6xC4:C8central extension (φ=1)192(C2xC6).62(C4:C4)192,855
(C2xC6).63(C4:C4) = C6xC4.Q8central extension (φ=1)192(C2xC6).63(C4:C4)192,858
(C2xC6).64(C4:C4) = C6xC2.D8central extension (φ=1)192(C2xC6).64(C4:C4)192,859
(C2xC6).65(C4:C4) = C6xC8.C4central extension (φ=1)96(C2xC6).65(C4:C4)192,862

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