Subgroups — C₁₁×#14584033 #44501522

Order 30668.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×D₆₉₇	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₇×C₄₁	C₄	1	1	yes	characteristic, complemented, Hall
3	#14584033	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×#4223	—	17	1	no	maximal, Hall
5	D₆₉₇	C₂×C₁₁	1	1	yes	characteristic
6	C₁₁×D₄₁	—	17	1	no	—
7	C₁₁×#595	—	41	1	no	maximal, Hall
8	C₁₇×C₄₁	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
9	C₁₁×C₄₁	#595	1	1	yes	characteristic, complemented, Hall
10	C₁₁×D₁₇	—	41	1	no	—
11	C₁₁×C₁₇	#4223	1	1	yes	characteristic, complemented, Hall
12	#4223	—	17	1	no	Hall
13	D₄₁	—	17	1	no	—
14	#595	—	41	1	no	Hall
15	C₄×C₁₁	—	697	1	no	Hall
16	C₄₁	C₁₁×#595	1	1	yes	characteristic, complemented, Sylow
17	D₁₇	—	41	1	no	—
18	C₂×C₁₁	—	697	1	no	—
19	C₁₇	C₁₁×#4223	1	1	yes	characteristic, complemented, Sylow
20	C₁₁	#14584033	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	697	1	no	Sylow
22	C₂	—	697	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.