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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C22×C4

Direct product G=N×Q with N=Dic7 and Q=C22×C4
dρLabelID
C22×C4×Dic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=Dic7 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic7⋊1(C22×C4) = C2×Dic7⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7:1(C2^2xC4)448,938
Dic7⋊2(C22×C4) = C4×D4×D7φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7112Dic7:2(C2^2xC4)448,997
Dic7⋊3(C22×C4) = C2×C4×C7⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7:3(C2^2xC4)448,1241
Dic7⋊4(C22×C4) = C2×D7×C4⋊C4φ: C22×C4/C23 → C2 ⊆ Out Dic7224Dic7:4(C2^2xC4)448,954
Dic7⋊5(C22×C4) = C22×Dic7⋊C4φ: C22×C4/C23 → C2 ⊆ Out Dic7448Dic7:5(C2^2xC4)448,1236
Dic7⋊6(C22×C4) = D7×C2×C42φ: trivial image224Dic7:6(C2^2xC4)448,924

Non-split extensions G=N.Q with N=Dic7 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
Dic7.1(C22×C4) = C2×C4×Dic14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7448Dic7.1(C2^2xC4)448,920
Dic7.2(C22×C4) = C4×C4○D28φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.2(C2^2xC4)448,927
Dic7.3(C22×C4) = C24.24D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7112Dic7.3(C2^2xC4)448,939
Dic7.4(C22×C4) = C2×Dic7⋊3Q8φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7448Dic7.4(C2^2xC4)448,949
Dic7.5(C22×C4) = C14.82+ 1+4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.5(C2^2xC4)448,957
Dic7.6(C22×C4) = C42.87D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.6(C2^2xC4)448,969
Dic7.7(C22×C4) = C42.188D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.7(C2^2xC4)448,975
Dic7.8(C22×C4) = C42.91D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.8(C2^2xC4)448,976
Dic7.9(C22×C4) = C42⋊11D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7112Dic7.9(C2^2xC4)448,998
Dic7.10(C22×C4) = C4×Q8×D7φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.10(C2^2xC4)448,1024
Dic7.11(C22×C4) = C42.125D14φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.11(C2^2xC4)448,1025
Dic7.12(C22×C4) = C2×D28.2C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.12(C2^2xC4)448,1191
Dic7.13(C22×C4) = C2×D28.C4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.13(C2^2xC4)448,1197
Dic7.14(C22×C4) = C28.70C24φ: C22×C4/C2×C4 → C2 ⊆ Out Dic71124Dic7.14(C2^2xC4)448,1198
Dic7.15(C22×C4) = D7×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Out Dic71124Dic7.15(C2^2xC4)448,1202
Dic7.16(C22×C4) = C56.49C23φ: C22×C4/C2×C4 → C2 ⊆ Out Dic71124Dic7.16(C2^2xC4)448,1203
Dic7.17(C22×C4) = C2×C42⋊D7φ: C22×C4/C23 → C2 ⊆ Out Dic7224Dic7.17(C2^2xC4)448,925
Dic7.18(C22×C4) = D7×C42⋊C2φ: C22×C4/C23 → C2 ⊆ Out Dic7112Dic7.18(C2^2xC4)448,973
Dic7.19(C22×C4) = C42.108D14φ: C22×C4/C23 → C2 ⊆ Out Dic7224Dic7.19(C2^2xC4)448,999
Dic7.20(C22×C4) = C42.126D14φ: C22×C4/C23 → C2 ⊆ Out Dic7224Dic7.20(C2^2xC4)448,1027
Dic7.21(C22×C4) = C22×C8⋊D7φ: C22×C4/C23 → C2 ⊆ Out Dic7224Dic7.21(C2^2xC4)448,1190
Dic7.22(C22×C4) = C2×C23.11D14φ: trivial image224Dic7.22(C2^2xC4)448,933
Dic7.23(C22×C4) = C2×C4⋊C4⋊7D7φ: trivial image224Dic7.23(C2^2xC4)448,955
Dic7.24(C22×C4) = C4×D4⋊2D7φ: trivial image224Dic7.24(C2^2xC4)448,989
Dic7.25(C22×C4) = C4×Q8⋊2D7φ: trivial image224Dic7.25(C2^2xC4)448,1026
Dic7.26(C22×C4) = D7×C22×C8φ: trivial image224Dic7.26(C2^2xC4)448,1189
Dic7.27(C22×C4) = C2×D7×M4(2)φ: trivial image112Dic7.27(C2^2xC4)448,1196

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