Finite Group Databasebeta

← C₂×C₁₉×C₁₅₇ #20238570

Subgroups — C₂×C₁₉×C₁₅₇ #20238570

Order 5966.

8 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×C₁₅₇	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₁₅₇	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₁₅₇	C₂×C₁₉	1	1	yes	characteristic, direct product factor, Sylow
4	C₂×C₁₉	C₁₅₇	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₁₉	C₂×C₁₅₇	1	1	yes	characteristic, direct product factor, Sylow
6	C₂	C₁₉×C₁₅₇	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. C₁₉×C₁₅₇	C₂	direct (N × H)
2. C₂×C₁₅₇	C₁₉	direct (N × H)
3. C₁₅₇	C₂×C₁₉	direct (N × H)
4. C₂×C₁₉	C₁₅₇	direct (N × H)
5. C₁₉	C₂×C₁₅₇	direct (N × H)
6. C₂	C₁₉×C₁₅₇	direct (N × H)