Finite Group Databasebeta

← C₃×C₄₃×C₈₃ #24924179

Subgroups — C₃×C₄₃×C₈₃ #24924179

Order 10707.

8 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×C₈₃	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₃×C₈₃	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₄₃	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₈₃	C₃×C₄₃	1	1	yes	characteristic, direct product factor, Sylow
5	C₄₃	C₃×C₈₃	1	1	yes	characteristic, direct product factor, Sylow
6	C₃	C₄₃×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. C₄₃×C₈₃	C₃	direct (N × H)
2. C₃×C₈₃	C₄₃	direct (N × H)
3. C₃×C₄₃	C₈₃	direct (N × H)
4. C₈₃	C₃×C₄₃	direct (N × H)
5. C₄₃	C₃×C₈₃	direct (N × H)
6. C₃	C₄₃×C₈₃	direct (N × H)