Subgroups — C₁₆₉×C₁₉₁ #44567697

Order 32279.

6 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₁₉₁	C₁₃	1	1	yes	maximal, characteristic
2	C₁₉₁	C₁₆₉	1	1	yes	characteristic, direct product factor, Sylow
3	C₁₆₉	C₁₉₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
4	C₁₃	C₁₃×C₁₉₁	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. C₁₉₁	C₁₆₉	direct (N × H)
3. C₁₆₉	C₁₉₁	direct (N × H)

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×C₁₉₁	13
C₁₆₉	191