Extensions 1→N→G→Q→1 with N=C4.A4 and Q=C10

Direct product G=N×Q with N=C4.A4 and Q=C10

Semidirect products G=N:Q with N=C4.A4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.A41C10 = C5×C4.3S4φ: C10/C5C2 ⊆ Out C4.A4804C4.A4:1C10480,1021
C4.A42C10 = C5×C4.6S4φ: C10/C5C2 ⊆ Out C4.A4802C4.A4:2C10480,1020
C4.A43C10 = C5×Q8.A4φ: C10/C5C2 ⊆ Out C4.A41204C4.A4:3C10480,1131
C4.A44C10 = C5×D4.A4φ: C10/C5C2 ⊆ Out C4.A4804C4.A4:4C10480,1132

Non-split extensions G=N.Q with N=C4.A4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.A4.1C10 = C5×C4.S4φ: C10/C5C2 ⊆ Out C4.A41604C4.A4.1C10480,1019
C4.A4.2C10 = C5×U2(𝔽3)φ: C10/C5C2 ⊆ Out C4.A41202C4.A4.2C10480,257
C4.A4.3C10 = C5×C8.A4φ: trivial image1602C4.A4.3C10480,660