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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×Q8

Direct product G=N×Q with N=C14 and Q=C2×Q8
dρLabelID
Q8×C2×C14224Q8xC2xC14224,191

Semidirect products G=N:Q with N=C14 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C2×Q8) = C22×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14:1(C2xQ8)224,174
C14⋊2(C2×Q8) = C2×Q8×D7φ: C2×Q8/Q8 → C2 ⊆ Aut C14112C14:2(C2xQ8)224,181

Non-split extensions G=N.Q with N=C14 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C14.1(C2×Q8) = C4×Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.1(C2xQ8)224,63
C14.2(C2×Q8) = C28⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.2(C2xQ8)224,64
C14.3(C2×Q8) = C28.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.3(C2xQ8)224,65
C14.4(C2×Q8) = C22⋊Dic14φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14112C14.4(C2xQ8)224,73
C14.5(C2×Q8) = C28⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.5(C2xQ8)224,83
C14.6(C2×Q8) = C28.3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.6(C2xQ8)224,85
C14.7(C2×Q8) = C2×Dic7⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.7(C2xQ8)224,118
C14.8(C2×Q8) = C28.48D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14112C14.8(C2xQ8)224,119
C14.9(C2×Q8) = C2×C4⋊Dic7φ: C2×Q8/C2×C4 → C2 ⊆ Aut C14224C14.9(C2xQ8)224,120
C14.10(C2×Q8) = Dic7⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14224C14.10(C2xQ8)224,82
C14.11(C2×Q8) = Dic7.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14224C14.11(C2xQ8)224,84
C14.12(C2×Q8) = D7×C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C14112C14.12(C2xQ8)224,86
C14.13(C2×Q8) = D14⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14112C14.13(C2xQ8)224,91
C14.14(C2×Q8) = D14⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14112C14.14(C2xQ8)224,92
C14.15(C2×Q8) = Dic7⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14224C14.15(C2xQ8)224,139
C14.16(C2×Q8) = Q8×Dic7φ: C2×Q8/Q8 → C2 ⊆ Aut C14224C14.16(C2xQ8)224,140
C14.17(C2×Q8) = D14⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C14112C14.17(C2xQ8)224,141
C14.18(C2×Q8) = C14×C4⋊C4central extension (φ=1)224C14.18(C2xQ8)224,151
C14.19(C2×Q8) = Q8×C28central extension (φ=1)224C14.19(C2xQ8)224,154
C14.20(C2×Q8) = C7×C22⋊Q8central extension (φ=1)112C14.20(C2xQ8)224,157
C14.21(C2×Q8) = C7×C42.C2central extension (φ=1)224C14.21(C2xQ8)224,160
C14.22(C2×Q8) = C7×C4⋊Q8central extension (φ=1)224C14.22(C2xQ8)224,163

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