Extensions 1→N→G→Q→1 with N=Dic12 and Q=C10

Direct product G=N×Q with N=Dic12 and Q=C10

Semidirect products G=N:Q with N=Dic12 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic121C10 = C5×C48⋊C2φ: C10/C5C2 ⊆ Out Dic122402Dic12:1C10480,119
Dic122C10 = C5×C8.D6φ: C10/C5C2 ⊆ Out Dic122404Dic12:2C10480,788
Dic123C10 = C5×D8.S3φ: C10/C5C2 ⊆ Out Dic122404Dic12:3C10480,146
Dic124C10 = C5×D83S3φ: C10/C5C2 ⊆ Out Dic122404Dic12:4C10480,791
Dic125C10 = C5×S3×Q16φ: C10/C5C2 ⊆ Out Dic122404Dic12:5C10480,796
Dic126C10 = C5×D4.D6φ: C10/C5C2 ⊆ Out Dic122404Dic12:6C10480,794
Dic127C10 = C5×C4○D24φ: trivial image2402Dic12:7C10480,783

Non-split extensions G=N.Q with N=Dic12 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic12.1C10 = C5×Dic24φ: C10/C5C2 ⊆ Out Dic124802Dic12.1C10480,120
Dic12.2C10 = C5×C3⋊Q32φ: C10/C5C2 ⊆ Out Dic124804Dic12.2C10480,148