Extensions 1→N→G→Q→1 with N=C2.C42 and Q=C14

Direct product G=N×Q with N=C2.C42 and Q=C14
dρLabelID
C14×C2.C42448C14xC2.C4^2448,783

Semidirect products G=N:Q with N=C2.C42 and Q=C14
extensionφ:Q→Out NdρLabelID
C2.C421C14 = C7×C23.7Q8φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:1C14448,788
C2.C422C14 = C7×C23.34D4φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:2C14448,789
C2.C423C14 = C7×C24.C22φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:3C14448,796
C2.C424C14 = C7×C23.Q8φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:4C14448,804
C2.C425C14 = C7×C23.11D4φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:5C14448,805
C2.C426C14 = C7×C22.SD16φ: C14/C7C2 ⊆ Out C2.C42112C2.C4^2:6C14448,131
C2.C427C14 = C7×C23.8Q8φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:7C14448,793
C2.C428C14 = C7×C23.23D4φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:8C14448,794
C2.C429C14 = C7×C232D4φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:9C14448,800
C2.C4210C14 = C7×C23⋊Q8φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:10C14448,801
C2.C4211C14 = C7×C23.10D4φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:11C14448,802
C2.C4212C14 = C7×C23.4Q8φ: C14/C7C2 ⊆ Out C2.C42224C2.C4^2:12C14448,807
C2.C4213C14 = C22⋊C4×C28φ: trivial image224C2.C4^2:13C14448,785

Non-split extensions G=N.Q with N=C2.C42 and Q=C14
extensionφ:Q→Out NdρLabelID
C2.C42.1C14 = C7×C428C4φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.1C14448,790
C2.C42.2C14 = C7×C425C4φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.2C14448,791
C2.C42.3C14 = C7×C23.63C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.3C14448,795
C2.C42.4C14 = C7×C23.84C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.4C14448,809
C2.C42.5C14 = C7×C23.31D4φ: C14/C7C2 ⊆ Out C2.C42112C2.C4^2.5C14448,132
C2.C42.6C14 = C7×C23.65C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.6C14448,797
C2.C42.7C14 = C7×C23.67C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.7C14448,799
C2.C42.8C14 = C7×C23.78C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.8C14448,803
C2.C42.9C14 = C7×C23.81C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.9C14448,806
C2.C42.10C14 = C7×C23.83C23φ: C14/C7C2 ⊆ Out C2.C42448C2.C4^2.10C14448,808
C2.C42.11C14 = C7×C424C4φ: trivial image448C2.C4^2.11C14448,784
C2.C42.12C14 = C4⋊C4×C28φ: trivial image448C2.C4^2.12C14448,786

׿
×
𝔽