Subgroups — C₁₀₃×C₃⋊#261 #30632584

Order 16068.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₁₃×C₁₀₃	C₂	1	1	yes	maximal, characteristic
2	#261×C₁₀₃	—	3	1	no	maximal, Hall
3	C₃×C₁₃×C₁₀₃	C₄	1	1	yes	characteristic, complemented, Hall
4	D₁₃×C₁₀₃	D₃	1	1	yes	characteristic
5	C₁₃×C₁₀₃	Dic₃	1	1	yes	characteristic, complemented, Hall
6	Dic₃×C₁₀₃	—	13	1	no	maximal, Hall
7	C₂×C₃×C₁₀₃	—	13	1	no	—
8	C₄×C₁₀₃	—	39	1	no	Hall
9	C₃×C₁₀₃	#261	1	1	yes	characteristic, complemented, Hall
10	C₂×C₁₀₃	—	13	1	no	—
11	C₃⋊#261	C₁₀₃	1	1	yes	maximal, characteristic, direct product factor, Hall
12	C₁₀₃	C₃⋊#261	1	1	yes	characteristic, direct product factor, Sylow
13	C₃×D₁₃	C₂×C₁₀₃	1	1	yes	characteristic
14	#261	—	3	1	no	Hall
15	C₃×C₁₃	C₄×C₁₀₃	1	1	yes	characteristic, complemented, Hall
16	D₁₃	D₃×C₁₀₃	1	1	yes	characteristic
17	C₁₃	Dic₃×C₁₀₃	1	1	yes	characteristic, complemented, Sylow
18	Dic₃	—	13	1	no	Hall
19	C₂×C₃	—	13	1	no	—
20	C₄	—	39	1	no	Sylow
21	C₃	#261×C₁₀₃	1	1	yes	characteristic, complemented, Sylow
22	C₂	—	13	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.