Extensions 1→N→G→Q→1 with N=C8 and Q=C6

Direct product G=N×Q with N=C8 and Q=C6
dρLabelID
C2×C2448C2xC2448,23

Semidirect products G=N:Q with N=C8 and Q=C6
extensionφ:Q→Aut NdρLabelID
C81C6 = C3×D8φ: C6/C3C2 ⊆ Aut C8242C8:1C648,25
C82C6 = C3×SD16φ: C6/C3C2 ⊆ Aut C8242C8:2C648,26
C83C6 = C3×M4(2)φ: C6/C3C2 ⊆ Aut C8242C8:3C648,24

Non-split extensions G=N.Q with N=C8 and Q=C6
extensionφ:Q→Aut NdρLabelID
C8.C6 = C3×Q16φ: C6/C3C2 ⊆ Aut C8482C8.C648,27

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