Extensions 1→N→G→Q→1 with N=Dic7 and Q=C2×Q8

Direct product G=N×Q with N=Dic7 and Q=C2×Q8
dρLabelID
C2×Q8×Dic7448C2xQ8xDic7448,1264

Semidirect products G=N:Q with N=Dic7 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Dic71(C2×Q8) = C2×C28⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Out Dic7448Dic7:1(C2xQ8)448,950
Dic72(C2×Q8) = D7×C4⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7:2(C2xQ8)448,1176
Dic73(C2×Q8) = C2×Dic7⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Out Dic7448Dic7:3(C2xQ8)448,1263
Dic74(C2×Q8) = Dic1421D4φ: C2×Q8/Q8C2 ⊆ Out Dic7224Dic7:4(C2xQ8)448,1085
Dic75(C2×Q8) = Q8×C7⋊D4φ: C2×Q8/Q8C2 ⊆ Out Dic7224Dic7:5(C2xQ8)448,1268
Dic76(C2×Q8) = C2×Dic73Q8φ: trivial image448Dic7:6(C2xQ8)448,949
Dic77(C2×Q8) = C4×Q8×D7φ: trivial image224Dic7:7(C2xQ8)448,1024

Non-split extensions G=N.Q with N=Dic7 and Q=C2×Q8
extensionφ:Q→Out NdρLabelID
Dic7.1(C2×Q8) = C2×Dic7.Q8φ: C2×Q8/C2×C4C2 ⊆ Out Dic7448Dic7.1(C2xQ8)448,951
Dic7.2(C2×Q8) = C42.232D14φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.2(C2xQ8)448,1031
Dic7.3(C2×Q8) = (Q8×Dic7)⋊C2φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.3(C2xQ8)448,1075
Dic7.4(C2×Q8) = C14.752- 1+4φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.4(C2xQ8)448,1076
Dic7.5(C2×Q8) = D7×C42.C2φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.5(C2xQ8)448,1140
Dic7.6(C2×Q8) = C42.148D14φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.6(C2xQ8)448,1142
Dic7.7(C2×Q8) = C42.174D14φ: C2×Q8/C2×C4C2 ⊆ Out Dic7224Dic7.7(C2xQ8)448,1182
Dic7.8(C2×Q8) = C14.102+ 1+4φ: C2×Q8/Q8C2 ⊆ Out Dic7224Dic7.8(C2xQ8)448,964
Dic7.9(C2×Q8) = Q8×Dic14φ: C2×Q8/Q8C2 ⊆ Out Dic7448Dic7.9(C2xQ8)448,1019
Dic7.10(C2×Q8) = Dic1410Q8φ: C2×Q8/Q8C2 ⊆ Out Dic7448Dic7.10(C2xQ8)448,1020
Dic7.11(C2×Q8) = C14.1182+ 1+4φ: C2×Q8/Q8C2 ⊆ Out Dic7224Dic7.11(C2xQ8)448,1088
Dic7.12(C2×Q8) = C14.522+ 1+4φ: C2×Q8/Q8C2 ⊆ Out Dic7224Dic7.12(C2xQ8)448,1089
Dic7.13(C2×Q8) = Dic147Q8φ: C2×Q8/Q8C2 ⊆ Out Dic7448Dic7.13(C2xQ8)448,1138
Dic7.14(C2×Q8) = Dic148Q8φ: C2×Q8/Q8C2 ⊆ Out Dic7448Dic7.14(C2xQ8)448,1174
Dic7.15(C2×Q8) = Dic149Q8φ: C2×Q8/Q8C2 ⊆ Out Dic7448Dic7.15(C2xQ8)448,1175
Dic7.16(C2×Q8) = C42.236D14φ: trivial image224Dic7.16(C2xQ8)448,1141
Dic7.17(C2×Q8) = C42.241D14φ: trivial image224Dic7.17(C2xQ8)448,1181

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