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Extensions 1→N→G→Q→1 with N=C2×C124 and Q=C2

Direct product G=N×Q with N=C2×C124 and Q=C2
dρLabelID
C22×C124496C2^2xC124496,37

Semidirect products G=N:Q with N=C2×C124 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C124)⋊1C2 = D62⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C124248(C2xC124):1C2496,13
(C2×C124)⋊2C2 = C22⋊C4×C31φ: C2/C1 → C2 ⊆ Aut C2×C124248(C2xC124):2C2496,20
(C2×C124)⋊3C2 = C2×D124φ: C2/C1 → C2 ⊆ Aut C2×C124248(C2xC124):3C2496,29
(C2×C124)⋊4C2 = D124⋊5C2φ: C2/C1 → C2 ⊆ Aut C2×C1242482(C2xC124):4C2496,30
(C2×C124)⋊5C2 = C2×C4×D31φ: C2/C1 → C2 ⊆ Aut C2×C124248(C2xC124):5C2496,28
(C2×C124)⋊6C2 = D4×C62φ: C2/C1 → C2 ⊆ Aut C2×C124248(C2xC124):6C2496,38
(C2×C124)⋊7C2 = C4○D4×C31φ: C2/C1 → C2 ⊆ Aut C2×C1242482(C2xC124):7C2496,40

Non-split extensions G=N.Q with N=C2×C124 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C124).1C2 = Dic31⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).1C2496,11
(C2×C124).2C2 = C4⋊C4×C31φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).2C2496,21
(C2×C124).3C2 = C4⋊Dic31φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).3C2496,12
(C2×C124).4C2 = C2×Dic62φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).4C2496,27
(C2×C124).5C2 = C4.Dic31φ: C2/C1 → C2 ⊆ Aut C2×C1242482(C2xC124).5C2496,9
(C2×C124).6C2 = C2×C31⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).6C2496,8
(C2×C124).7C2 = C4×Dic31φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).7C2496,10
(C2×C124).8C2 = M4(2)×C31φ: C2/C1 → C2 ⊆ Aut C2×C1242482(C2xC124).8C2496,23
(C2×C124).9C2 = Q8×C62φ: C2/C1 → C2 ⊆ Aut C2×C124496(C2xC124).9C2496,39

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