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Extensions 1→N→G→Q→1 with N=C14 and Q=C4×Q8

Direct product G=N×Q with N=C14 and Q=C4×Q8
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C14 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C4×Q8) = C2×C4×Dic14φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14:1(C4xQ8)448,920
C14⋊2(C4×Q8) = C2×Dic7⋊3Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14:2(C4xQ8)448,949
C14⋊3(C4×Q8) = C2×Q8×Dic7φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14:3(C4xQ8)448,1264

Non-split extensions G=N.Q with N=C14 and Q=C4×Q8
extensionφ:Q→Aut NdρLabelID
C14.1(C4×Q8) = (C2×C28)⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.1(C4xQ8)448,180
C14.2(C4×Q8) = C14.(C4×Q8)φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.2(C4xQ8)448,181
C14.3(C4×Q8) = C4⋊Dic7⋊8C4φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.3(C4xQ8)448,188
C14.4(C4×Q8) = C14.(C4×D4)φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.4(C4xQ8)448,189
C14.5(C4×Q8) = C8×Dic14φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.5(C4xQ8)448,212
C14.6(C4×Q8) = C56⋊11Q8φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.6(C4xQ8)448,213
C14.7(C4×Q8) = C56⋊Q8φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.7(C4xQ8)448,235
C14.8(C4×Q8) = C28⋊4(C4⋊C4)φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.8(C4xQ8)448,462
C14.9(C4×Q8) = (C2×C28)⋊10Q8φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.9(C4xQ8)448,463
C14.10(C4×Q8) = C4×Dic7⋊C4φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.10(C4xQ8)448,465
C14.11(C4×Q8) = (C2×C42).D7φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.11(C4xQ8)448,467
C14.12(C4×Q8) = C4×C4⋊Dic7φ: C4×Q8/C42 → C2 ⊆ Aut C14448C14.12(C4xQ8)448,468
C14.13(C4×Q8) = Dic7⋊C42φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.13(C4xQ8)448,183
C14.14(C4×Q8) = Dic7⋊C4⋊C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.14(C4xQ8)448,186
C14.15(C4×Q8) = C4⋊Dic7⋊7C4φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.15(C4xQ8)448,187
C14.16(C4×Q8) = C42.27D14φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.16(C4xQ8)448,362
C14.17(C4×Q8) = Dic14⋊C8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.17(C4xQ8)448,364
C14.18(C4×Q8) = C28.M4(2)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.18(C4xQ8)448,365
C14.19(C4×Q8) = Dic7⋊(C4⋊C4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.19(C4xQ8)448,506
C14.20(C4×Q8) = C28⋊(C4⋊C4)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.20(C4xQ8)448,507
C14.21(C4×Q8) = (C2×Dic7)⋊6Q8φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.21(C4xQ8)448,508
C14.22(C4×Q8) = C4⋊C4×Dic7φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.22(C4xQ8)448,509
C14.23(C4×Q8) = C22.23(Q8×D7)φ: C4×Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.23(C4xQ8)448,512
C14.24(C4×Q8) = C4⋊C4⋊5Dic7φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.24(C4xQ8)448,515
C14.25(C4×Q8) = C4⋊(C4⋊Dic7)φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.25(C4xQ8)448,519
C14.26(C4×Q8) = Q8×C7⋊C8φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.26(C4xQ8)448,557
C14.27(C4×Q8) = C42.210D14φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.27(C4xQ8)448,558
C14.28(C4×Q8) = (Q8×C14)⋊7C4φ: C4×Q8/C2×Q8 → C2 ⊆ Aut C14448C14.28(C4xQ8)448,764
C14.29(C4×Q8) = C4⋊C4×C28central extension (φ=1)448C14.29(C4xQ8)448,786
C14.30(C4×Q8) = C7×C23.63C23central extension (φ=1)448C14.30(C4xQ8)448,795
C14.31(C4×Q8) = C7×C23.65C23central extension (φ=1)448C14.31(C4xQ8)448,797
C14.32(C4×Q8) = C7×C23.67C23central extension (φ=1)448C14.32(C4xQ8)448,799
C14.33(C4×Q8) = Q8×C56central extension (φ=1)448C14.33(C4xQ8)448,853
C14.34(C4×Q8) = C7×C8⋊4Q8central extension (φ=1)448C14.34(C4xQ8)448,854

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