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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C4

Direct product G=N×Q with N=C6 and Q=C2×C4
dρLabelID
C22×C1248C2^2xC1248,44

Semidirect products G=N:Q with N=C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C4) = S3×C2×C4φ: C2×C4/C4 → C2 ⊆ Aut C624C6:1(C2xC4)48,35
C6⋊2(C2×C4) = C22×Dic3φ: C2×C4/C22 → C2 ⊆ Aut C648C6:2(C2xC4)48,42

Non-split extensions G=N.Q with N=C6 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C4) = S3×C8φ: C2×C4/C4 → C2 ⊆ Aut C6242C6.1(C2xC4)48,4
C6.2(C2×C4) = C8⋊S3φ: C2×C4/C4 → C2 ⊆ Aut C6242C6.2(C2xC4)48,5
C6.3(C2×C4) = Dic3⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C648C6.3(C2xC4)48,12
C6.4(C2×C4) = D6⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C624C6.4(C2xC4)48,14
C6.5(C2×C4) = C2×C3⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C648C6.5(C2xC4)48,9
C6.6(C2×C4) = C4.Dic3φ: C2×C4/C22 → C2 ⊆ Aut C6242C6.6(C2xC4)48,10
C6.7(C2×C4) = C4×Dic3φ: C2×C4/C22 → C2 ⊆ Aut C648C6.7(C2xC4)48,11
C6.8(C2×C4) = C4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Aut C648C6.8(C2xC4)48,13
C6.9(C2×C4) = C6.D4φ: C2×C4/C22 → C2 ⊆ Aut C624C6.9(C2xC4)48,19
C6.10(C2×C4) = C3×C22⋊C4central extension (φ=1)24C6.10(C2xC4)48,21
C6.11(C2×C4) = C3×C4⋊C4central extension (φ=1)48C6.11(C2xC4)48,22
C6.12(C2×C4) = C3×M4(2)central extension (φ=1)242C6.12(C2xC4)48,24

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