Subgroups — C₁₁×C₄₃×#595 #44565487

Order 32164.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×D₁₇×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₇×C₄₃	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄₃×#595	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₄×C₁₁×C₄₃	—	17	1	no	maximal, Hall
5	D₁₇×C₄₃	C₂×C₁₁	1	1	yes	characteristic
6	C₂×C₁₁×C₄₃	—	17	1	no	—
7	C₁₁×#595	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₁₇×C₄₃	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
9	C₁₁×C₄₃	#595	1	1	yes	characteristic, direct product factor, Hall
10	C₁₁×D₁₇	C₂×C₄₃	1	1	yes	characteristic
11	C₁₁×C₁₇	C₄×C₄₃	1	1	yes	characteristic, complemented, Hall
12	C₄×C₄₃	—	17	1	no	Hall
13	C₂×C₄₃	—	17	1	no	—
14	#595	C₁₁×C₄₃	1	1	yes	characteristic, direct product factor, Hall
15	C₄×C₁₁	—	17	1	no	Hall
16	C₄₃	C₁₁×#595	1	1	yes	characteristic, direct product factor, Sylow
17	D₁₇	C₂×C₁₁×C₄₃	1	1	yes	characteristic
18	C₂×C₁₁	—	17	1	no	—
19	C₁₇	C₄×C₁₁×C₄₃	1	1	yes	characteristic, complemented, Sylow
20	C₁₁	C₄₃×#595	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	17	1	no	Sylow
22	C₂	—	17	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.