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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C2×C6

Direct product G=N×Q with N=Dic7 and Q=C2×C6
dρLabelID
C2×C6×Dic7336C2xC6xDic7336,182

Semidirect products G=N:Q with N=Dic7 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic7⋊1(C2×C6) = D4×F7φ: C2×C6/C2 → C6 ⊆ Out Dic72812+Dic7:1(C2xC6)336,125
Dic7⋊2(C2×C6) = C2×Dic7⋊C6φ: C2×C6/C2 → C6 ⊆ Out Dic756Dic7:2(C2xC6)336,130
Dic7⋊3(C2×C6) = C2×C4×F7φ: C2×C6/C22 → C3 ⊆ Out Dic756Dic7:3(C2xC6)336,122
Dic7⋊4(C2×C6) = C22×C7⋊C12φ: C2×C6/C22 → C3 ⊆ Out Dic7112Dic7:4(C2xC6)336,129
Dic7⋊5(C2×C6) = C3×D4×D7φ: C2×C6/C6 → C2 ⊆ Out Dic7844Dic7:5(C2xC6)336,178
Dic7⋊6(C2×C6) = C6×C7⋊D4φ: C2×C6/C6 → C2 ⊆ Out Dic7168Dic7:6(C2xC6)336,183
Dic7⋊7(C2×C6) = D7×C2×C12φ: trivial image168Dic7:7(C2xC6)336,175

Non-split extensions G=N.Q with N=Dic7 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic7.1(C2×C6) = C2×C4.F7φ: C2×C6/C2 → C6 ⊆ Out Dic7112Dic7.1(C2xC6)336,121
Dic7.2(C2×C6) = D28⋊6C6φ: C2×C6/C2 → C6 ⊆ Out Dic7566Dic7.2(C2xC6)336,124
Dic7.3(C2×C6) = D4⋊2F7φ: C2×C6/C2 → C6 ⊆ Out Dic75612-Dic7.3(C2xC6)336,126
Dic7.4(C2×C6) = Q8×F7φ: C2×C6/C2 → C6 ⊆ Out Dic75612-Dic7.4(C2xC6)336,127
Dic7.5(C2×C6) = Q8⋊3F7φ: C2×C6/C22 → C3 ⊆ Out Dic75612+Dic7.5(C2xC6)336,128
Dic7.6(C2×C6) = C6×Dic14φ: C2×C6/C6 → C2 ⊆ Out Dic7336Dic7.6(C2xC6)336,174
Dic7.7(C2×C6) = C3×C4○D28φ: C2×C6/C6 → C2 ⊆ Out Dic71682Dic7.7(C2xC6)336,177
Dic7.8(C2×C6) = C3×D4⋊2D7φ: C2×C6/C6 → C2 ⊆ Out Dic71684Dic7.8(C2xC6)336,179
Dic7.9(C2×C6) = C3×Q8×D7φ: C2×C6/C6 → C2 ⊆ Out Dic71684Dic7.9(C2xC6)336,180
Dic7.10(C2×C6) = C3×Q8⋊2D7φ: trivial image1684Dic7.10(C2xC6)336,181

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