Extensions 1→N→G→Q→1 with N=C124 and Q=C22

Direct product G=NxQ with N=C124 and Q=C22
dρLabelID
C22xC124496C2^2xC124496,37

Semidirect products G=N:Q with N=C124 and Q=C22
extensionφ:Q→Aut NdρLabelID
C124:C22 = D4xD31φ: C22/C1C22 ⊆ Aut C1241244+C124:C2^2496,31
C124:2C22 = C2xD124φ: C22/C2C2 ⊆ Aut C124248C124:2C2^2496,29
C124:3C22 = C2xC4xD31φ: C22/C2C2 ⊆ Aut C124248C124:3C2^2496,28
C124:4C22 = D4xC62φ: C22/C2C2 ⊆ Aut C124248C124:4C2^2496,38

Non-split extensions G=N.Q with N=C124 and Q=C22
extensionφ:Q→Aut NdρLabelID
C124.1C22 = D4:D31φ: C22/C1C22 ⊆ Aut C1242484+C124.1C2^2496,14
C124.2C22 = D4.D31φ: C22/C1C22 ⊆ Aut C1242484-C124.2C2^2496,15
C124.3C22 = Q8:D31φ: C22/C1C22 ⊆ Aut C1242484+C124.3C2^2496,16
C124.4C22 = C31:Q16φ: C22/C1C22 ⊆ Aut C1244964-C124.4C2^2496,17
C124.5C22 = D4:2D31φ: C22/C1C22 ⊆ Aut C1242484-C124.5C2^2496,32
C124.6C22 = Q8xD31φ: C22/C1C22 ⊆ Aut C1242484-C124.6C2^2496,33
C124.7C22 = Q8:2D31φ: C22/C1C22 ⊆ Aut C1242484+C124.7C2^2496,34
C124.8C22 = C248:C2φ: C22/C2C2 ⊆ Aut C1242482C124.8C2^2496,5
C124.9C22 = D248φ: C22/C2C2 ⊆ Aut C1242482+C124.9C2^2496,6
C124.10C22 = Dic124φ: C22/C2C2 ⊆ Aut C1244962-C124.10C2^2496,7
C124.11C22 = C2xDic62φ: C22/C2C2 ⊆ Aut C124496C124.11C2^2496,27
C124.12C22 = C8xD31φ: C22/C2C2 ⊆ Aut C1242482C124.12C2^2496,3
C124.13C22 = C8:D31φ: C22/C2C2 ⊆ Aut C1242482C124.13C2^2496,4
C124.14C22 = C2xC31:C8φ: C22/C2C2 ⊆ Aut C124496C124.14C2^2496,8
C124.15C22 = C4.Dic31φ: C22/C2C2 ⊆ Aut C1242482C124.15C2^2496,9
C124.16C22 = D124:5C2φ: C22/C2C2 ⊆ Aut C1242482C124.16C2^2496,30
C124.17C22 = D8xC31φ: C22/C2C2 ⊆ Aut C1242482C124.17C2^2496,24
C124.18C22 = SD16xC31φ: C22/C2C2 ⊆ Aut C1242482C124.18C2^2496,25
C124.19C22 = Q16xC31φ: C22/C2C2 ⊆ Aut C1244962C124.19C2^2496,26
C124.20C22 = Q8xC62φ: C22/C2C2 ⊆ Aut C124496C124.20C2^2496,39
C124.21C22 = C4oD4xC31φ: C22/C2C2 ⊆ Aut C1242482C124.21C2^2496,40
C124.22C22 = M4(2)xC31central extension (φ=1)2482C124.22C2^2496,23

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