Extensions 1→N→G→Q→1 with N=C124 and Q=C4

Direct product G=N×Q with N=C124 and Q=C4
dρLabelID
C4×C124496C4xC124496,19

Semidirect products G=N:Q with N=C124 and Q=C4
extensionφ:Q→Aut NdρLabelID
C1241C4 = C4⋊Dic31φ: C4/C2C2 ⊆ Aut C124496C124:1C4496,12
C1242C4 = C4×Dic31φ: C4/C2C2 ⊆ Aut C124496C124:2C4496,10
C1243C4 = C4⋊C4×C31φ: C4/C2C2 ⊆ Aut C124496C124:3C4496,21

Non-split extensions G=N.Q with N=C124 and Q=C4
extensionφ:Q→Aut NdρLabelID
C124.1C4 = C4.Dic31φ: C4/C2C2 ⊆ Aut C1242482C124.1C4496,9
C124.2C4 = C31⋊C16φ: C4/C2C2 ⊆ Aut C1244962C124.2C4496,1
C124.3C4 = C2×C31⋊C8φ: C4/C2C2 ⊆ Aut C124496C124.3C4496,8
C124.4C4 = M4(2)×C31φ: C4/C2C2 ⊆ Aut C1242482C124.4C4496,23

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