Finite Group Databasebeta

← C₃×C₄₁×C₈₃ #23779261

Subgroups — C₃×C₄₁×C₈₃ #23779261

Order 10209.

8 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₁×C₈₃	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₃×C₈₃	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₄₁	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₈₃	C₃×C₄₁	1	1	yes	characteristic, direct product factor, Sylow
5	C₄₁	C₃×C₈₃	1	1	yes	characteristic, direct product factor, Sylow
6	C₃	C₄₁×C₈₃	1	1	yes	characteristic, direct product factor, Sylow

	subgroup	G/H
center	G	C₁
commutator, Frattini	C₁	G
LCS	G ▷ C₁
UCS	C₁ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₄₁×C₈₃	C₃	direct (N × H)
2. C₃×C₈₃	C₄₁	direct (N × H)
3. C₃×C₄₁	C₈₃	direct (N × H)
4. C₈₃	C₃×C₄₁	direct (N × H)
5. C₄₁	C₃×C₈₃	direct (N × H)
6. C₃	C₄₁×C₈₃	direct (N × H)