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Extensions 1→N→G→Q→1 with N=C2×He3 and Q=C2×C4

Direct product G=N×Q with N=C2×He3 and Q=C2×C4
dρLabelID
C22×C4×He3144C2^2xC4xHe3432,401

Semidirect products G=N:Q with N=C2×He3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C2×He3)⋊1(C2×C4) = C22×He3⋊C4φ: C2×C4/C2 → C4 ⊆ Out C2×He372(C2xHe3):1(C2xC4)432,543
(C2×He3)⋊2(C2×C4) = C2×C6.S32φ: C2×C4/C2 → C22 ⊆ Out C2×He372(C2xHe3):2(C2xC4)432,317
(C2×He3)⋊3(C2×C4) = C2×He3⋊(C2×C4)φ: C2×C4/C2 → C22 ⊆ Out C2×He372(C2xHe3):3(C2xC4)432,321
(C2×He3)⋊4(C2×C4) = C2×C4×C32⋊C6φ: C2×C4/C4 → C2 ⊆ Out C2×He372(C2xHe3):4(C2xC4)432,349
(C2×He3)⋊5(C2×C4) = C2×C4×He3⋊C2φ: C2×C4/C4 → C2 ⊆ Out C2×He372(C2xHe3):5(C2xC4)432,385
(C2×He3)⋊6(C2×C4) = C22×C32⋊C12φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3):6(C2xC4)432,376
(C2×He3)⋊7(C2×C4) = C22×He3⋊3C4φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3):7(C2xC4)432,398

Non-split extensions G=N.Q with N=C2×He3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C2×He3).1(C2×C4) = He3⋊2(C2×C8)φ: C2×C4/C2 → C4 ⊆ Out C2×He3723(C2xHe3).1(C2xC4)432,273
(C2×He3).2(C2×C4) = He3⋊1M4(2)φ: C2×C4/C2 → C4 ⊆ Out C2×He3726(C2xHe3).2(C2xC4)432,274
(C2×He3).3(C2×C4) = C4×He3⋊C4φ: C2×C4/C2 → C4 ⊆ Out C2×He3723(C2xHe3).3(C2xC4)432,275
(C2×He3).4(C2×C4) = C4⋊(He3⋊C4)φ: C2×C4/C2 → C4 ⊆ Out C2×He3726(C2xHe3).4(C2xC4)432,276
(C2×He3).5(C2×C4) = C2×He3⋊2C8φ: C2×C4/C2 → C4 ⊆ Out C2×He3144(C2xHe3).5(C2xC4)432,277
(C2×He3).6(C2×C4) = He3⋊4M4(2)φ: C2×C4/C2 → C4 ⊆ Out C2×He3726(C2xHe3).6(C2xC4)432,278
(C2×He3).7(C2×C4) = C22⋊(He3⋊C4)φ: C2×C4/C2 → C4 ⊆ Out C2×He3366(C2xHe3).7(C2xC4)432,279
(C2×He3).8(C2×C4) = C32⋊C6⋊C8φ: C2×C4/C2 → C22 ⊆ Out C2×He3726(C2xHe3).8(C2xC4)432,76
(C2×He3).9(C2×C4) = He3⋊M4(2)φ: C2×C4/C2 → C22 ⊆ Out C2×He3726(C2xHe3).9(C2xC4)432,77
(C2×He3).10(C2×C4) = C12.89S32φ: C2×C4/C2 → C22 ⊆ Out C2×He3726(C2xHe3).10(C2xC4)432,81
(C2×He3).11(C2×C4) = He3⋊3M4(2)φ: C2×C4/C2 → C22 ⊆ Out C2×He3726(C2xHe3).11(C2xC4)432,82
(C2×He3).12(C2×C4) = He3⋊C42φ: C2×C4/C2 → C22 ⊆ Out C2×He3144(C2xHe3).12(C2xC4)432,94
(C2×He3).13(C2×C4) = C62.D6φ: C2×C4/C2 → C22 ⊆ Out C2×He3144(C2xHe3).13(C2xC4)432,95
(C2×He3).14(C2×C4) = C62.3D6φ: C2×C4/C2 → C22 ⊆ Out C2×He3144(C2xHe3).14(C2xC4)432,96
(C2×He3).15(C2×C4) = C62.4D6φ: C2×C4/C2 → C22 ⊆ Out C2×He372(C2xHe3).15(C2xC4)432,97
(C2×He3).16(C2×C4) = C62.5D6φ: C2×C4/C2 → C22 ⊆ Out C2×He372(C2xHe3).16(C2xC4)432,98
(C2×He3).17(C2×C4) = C8×C32⋊C6φ: C2×C4/C4 → C2 ⊆ Out C2×He3726(C2xHe3).17(C2xC4)432,115
(C2×He3).18(C2×C4) = He3⋊5M4(2)φ: C2×C4/C4 → C2 ⊆ Out C2×He3726(C2xHe3).18(C2xC4)432,116
(C2×He3).19(C2×C4) = C62.19D6φ: C2×C4/C4 → C2 ⊆ Out C2×He3144(C2xHe3).19(C2xC4)432,139
(C2×He3).20(C2×C4) = C62.21D6φ: C2×C4/C4 → C2 ⊆ Out C2×He372(C2xHe3).20(C2xC4)432,141
(C2×He3).21(C2×C4) = C8×He3⋊C2φ: C2×C4/C4 → C2 ⊆ Out C2×He3723(C2xHe3).21(C2xC4)432,173
(C2×He3).22(C2×C4) = He3⋊6M4(2)φ: C2×C4/C4 → C2 ⊆ Out C2×He3726(C2xHe3).22(C2xC4)432,174
(C2×He3).23(C2×C4) = C4×He3⋊3C4φ: C2×C4/C4 → C2 ⊆ Out C2×He3144(C2xHe3).23(C2xC4)432,186
(C2×He3).24(C2×C4) = C62.29D6φ: C2×C4/C4 → C2 ⊆ Out C2×He3144(C2xHe3).24(C2xC4)432,187
(C2×He3).25(C2×C4) = C62.31D6φ: C2×C4/C4 → C2 ⊆ Out C2×He372(C2xHe3).25(C2xC4)432,189
(C2×He3).26(C2×C4) = C2×He3⋊3C8φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3).26(C2xC4)432,136
(C2×He3).27(C2×C4) = He3⋊7M4(2)φ: C2×C4/C22 → C2 ⊆ Out C2×He3726(C2xHe3).27(C2xC4)432,137
(C2×He3).28(C2×C4) = C4×C32⋊C12φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3).28(C2xC4)432,138
(C2×He3).29(C2×C4) = C62.20D6φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3).29(C2xC4)432,140
(C2×He3).30(C2×C4) = C62⋊3C12φ: C2×C4/C22 → C2 ⊆ Out C2×He372(C2xHe3).30(C2xC4)432,166
(C2×He3).31(C2×C4) = C2×He3⋊4C8φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3).31(C2xC4)432,184
(C2×He3).32(C2×C4) = He3⋊8M4(2)φ: C2×C4/C22 → C2 ⊆ Out C2×He3726(C2xHe3).32(C2xC4)432,185
(C2×He3).33(C2×C4) = C62.30D6φ: C2×C4/C22 → C2 ⊆ Out C2×He3144(C2xHe3).33(C2xC4)432,188
(C2×He3).34(C2×C4) = C62⋊4Dic3φ: C2×C4/C22 → C2 ⊆ Out C2×He372(C2xHe3).34(C2xC4)432,199
(C2×He3).35(C2×C4) = C42×He3φ: trivial image144(C2xHe3).35(C2xC4)432,201
(C2×He3).36(C2×C4) = C22⋊C4×He3φ: trivial image72(C2xHe3).36(C2xC4)432,204
(C2×He3).37(C2×C4) = C4⋊C4×He3φ: trivial image144(C2xHe3).37(C2xC4)432,207
(C2×He3).38(C2×C4) = C2×C8×He3φ: trivial image144(C2xHe3).38(C2xC4)432,210
(C2×He3).39(C2×C4) = M4(2)×He3φ: trivial image726(C2xHe3).39(C2xC4)432,213

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