Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4×Dic3

Direct product G=N×Q with N=C5 and Q=C2×C4×Dic3
dρLabelID
Dic3×C2×C20480Dic3xC2xC20480,801

Semidirect products G=N:Q with N=C5 and Q=C2×C4×Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊1(C2×C4×Dic3) = C2×Dic3×F5φ: C2×C4×Dic3/C2×Dic3 → C4 ⊆ Aut C5120C5:1(C2xC4xDic3)480,998
C5⋊2(C2×C4×Dic3) = C2×C4×C3⋊F5φ: C2×C4×Dic3/C2×C12 → C4 ⊆ Aut C5120C5:2(C2xC4xDic3)480,1063
C5⋊3(C2×C4×Dic3) = C4×D5×Dic3φ: C2×C4×Dic3/C4×Dic3 → C2 ⊆ Aut C5240C5:3(C2xC4xDic3)480,467
C5⋊4(C2×C4×Dic3) = C2×Dic3×Dic5φ: C2×C4×Dic3/C22×Dic3 → C2 ⊆ Aut C5480C5:4(C2xC4xDic3)480,603
C5⋊5(C2×C4×Dic3) = C2×C4×Dic15φ: C2×C4×Dic3/C22×C12 → C2 ⊆ Aut C5480C5:5(C2xC4xDic3)480,887


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁