Extensions 1→N→G→Q→1 with N=C2×C62 and Q=C4

Direct product G=N×Q with N=C2×C62 and Q=C4
dρLabelID
C22×C124496C2^2xC124496,37

Semidirect products G=N:Q with N=C2×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C62)⋊1C4 = C22⋊C4×C31φ: C4/C2C2 ⊆ Aut C2×C62248(C2xC62):1C4496,20
(C2×C62)⋊2C4 = C23.D31φ: C4/C2C2 ⊆ Aut C2×C62248(C2xC62):2C4496,18
(C2×C62)⋊3C4 = C22×Dic31φ: C4/C2C2 ⊆ Aut C2×C62496(C2xC62):3C4496,35

Non-split extensions G=N.Q with N=C2×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C62).1C4 = M4(2)×C31φ: C4/C2C2 ⊆ Aut C2×C622482(C2xC62).1C4496,23
(C2×C62).2C4 = C2×C31⋊C8φ: C4/C2C2 ⊆ Aut C2×C62496(C2xC62).2C4496,8
(C2×C62).3C4 = C4.Dic31φ: C4/C2C2 ⊆ Aut C2×C622482(C2xC62).3C4496,9

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