Subgroups — C₁₃×C₃⋊#11745021 #49088213

Order 35724.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₃×D₂₂₉	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#11745021	—	3	1	no	maximal, Hall
3	C₃×C₁₃×C₂₂₉	C₄	1	1	yes	characteristic, complemented, Hall
4	C₁₃×D₂₂₉	D₃	1	1	yes	characteristic
5	C₁₃×C₂₂₉	Dic₃	1	1	yes	characteristic, complemented, Hall
6	C₃⋊#11745021	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₃×D₂₂₉	C₂×C₁₃	1	1	yes	characteristic
8	#11745021	—	3	1	no	Hall
9	C₃×C₂₂₉	C₄×C₁₃	1	1	yes	characteristic, complemented, Hall
10	D₂₂₉	D₃×C₁₃	1	1	yes	characteristic
11	C₂₂₉	Dic₃×C₁₃	1	1	yes	characteristic, complemented, Sylow
12	Dic₃×C₁₃	—	229	1	no	maximal, Hall
13	C₂×C₃×C₁₃	—	229	1	no	—
14	C₄×C₁₃	—	687	1	no	Hall
15	C₃×C₁₃	#11745021	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₃	—	229	1	no	—
17	C₁₃	C₃⋊#11745021	1	1	yes	characteristic, direct product factor, Sylow
18	Dic₃	—	229	1	no	Hall
19	C₂×C₃	—	229	1	no	—
20	C₄	—	687	1	no	Sylow
21	C₃	C₁₃×#11745021	1	1	yes	characteristic, complemented, Sylow
22	C₂	—	229	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.