# Extensions 1→N→G→Q→1 with N=C48 and Q=C6

Direct product G=N×Q with N=C48 and Q=C6
dρLabelID
C6×C48288C6xC48288,327

Semidirect products G=N:Q with N=C48 and Q=C6
extensionφ:Q→Aut NdρLabelID
C481C6 = C3×D48φ: C6/C3C2 ⊆ Aut C48962C48:1C6288,233
C482C6 = C3×C48⋊C2φ: C6/C3C2 ⊆ Aut C48962C48:2C6288,234
C483C6 = C32×D16φ: C6/C3C2 ⊆ Aut C48144C48:3C6288,329
C484C6 = C32×SD32φ: C6/C3C2 ⊆ Aut C48144C48:4C6288,330
C485C6 = S3×C48φ: C6/C3C2 ⊆ Aut C48962C48:5C6288,231
C486C6 = C3×D6.C8φ: C6/C3C2 ⊆ Aut C48962C48:6C6288,232
C487C6 = C32×M5(2)φ: C6/C3C2 ⊆ Aut C48144C48:7C6288,328

Non-split extensions G=N.Q with N=C48 and Q=C6
extensionφ:Q→Aut NdρLabelID
C48.1C6 = C3×Dic24φ: C6/C3C2 ⊆ Aut C48962C48.1C6288,235
C48.2C6 = C9×D16φ: C6/C3C2 ⊆ Aut C481442C48.2C6288,61
C48.3C6 = C9×Q32φ: C6/C3C2 ⊆ Aut C482882C48.3C6288,63
C48.4C6 = C32×Q32φ: C6/C3C2 ⊆ Aut C48288C48.4C6288,331
C48.5C6 = C9×SD32φ: C6/C3C2 ⊆ Aut C481442C48.5C6288,62
C48.6C6 = C3×C3⋊C32φ: C6/C3C2 ⊆ Aut C48962C48.6C6288,64
C48.7C6 = C9×M5(2)φ: C6/C3C2 ⊆ Aut C481442C48.7C6288,60

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