Subgroups — C₁₃×#13089659 #34037347

Order 18772.

52 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₁₉⋊D₁₉	C₂	1	1	yes	maximal, characteristic
2	C₁₃×C₁₉²	C₄	1	1	yes	characteristic, complemented, Hall
3	#13089659	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₉⋊D₁₉	C₂×C₁₃	1	1	yes	characteristic
5	C₁₃×D₁₉	—	38	10	no	—
6	C₁₉²	C₄×C₁₃	1	1	yes	characteristic, complemented, Sylow
7	C₁₃×C₁₉	—	2	10	no	—
8	C₄×C₁₃	—	361	1	no	maximal, Hall
9	D₁₉	—	38	10	no	—
10	C₂×C₁₃	—	361	1	no	—
11	C₁₉	—	2	10	no	—
12	C₁₃	#13089659	1	1	yes	characteristic, direct product factor, Sylow
13	C₄	—	361	1	no	Sylow
14	C₂	—	361	1	no	—

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

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