Extensions 1→N→G→Q→1 with N=C8 and Q=C2×C6

Direct product G=N×Q with N=C8 and Q=C2×C6
dρLabelID
C22×C2496C2^2xC2496,176

Semidirect products G=N:Q with N=C8 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C8⋊(C2×C6) = C3×C8⋊C22φ: C2×C6/C3C22 ⊆ Aut C8244C8:(C2xC6)96,183
C82(C2×C6) = C6×D8φ: C2×C6/C6C2 ⊆ Aut C848C8:2(C2xC6)96,179
C83(C2×C6) = C6×SD16φ: C2×C6/C6C2 ⊆ Aut C848C8:3(C2xC6)96,180
C84(C2×C6) = C6×M4(2)φ: C2×C6/C6C2 ⊆ Aut C848C8:4(C2xC6)96,177

Non-split extensions G=N.Q with N=C8 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C8.(C2×C6) = C3×C8.C22φ: C2×C6/C3C22 ⊆ Aut C8484C8.(C2xC6)96,184
C8.2(C2×C6) = C3×D16φ: C2×C6/C6C2 ⊆ Aut C8482C8.2(C2xC6)96,61
C8.3(C2×C6) = C3×SD32φ: C2×C6/C6C2 ⊆ Aut C8482C8.3(C2xC6)96,62
C8.4(C2×C6) = C3×Q32φ: C2×C6/C6C2 ⊆ Aut C8962C8.4(C2xC6)96,63
C8.5(C2×C6) = C6×Q16φ: C2×C6/C6C2 ⊆ Aut C896C8.5(C2xC6)96,181
C8.6(C2×C6) = C3×C4○D8φ: C2×C6/C6C2 ⊆ Aut C8482C8.6(C2xC6)96,182
C8.7(C2×C6) = C3×C8○D4φ: C2×C6/C6C2 ⊆ Aut C8482C8.7(C2xC6)96,178
C8.8(C2×C6) = C3×M5(2)central extension (φ=1)482C8.8(C2xC6)96,60

׿
×
𝔽