Subgroups — #17949622

Order 4352.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543947	C₂	1	2	yes	maximal
2	D₁₇×C₆₄	C₂	1	1	yes	maximal, characteristic
3	#11763737	—	2	2	no	—
4	C₃₂×D₁₇	C₂²	1	1	yes	characteristic
5	#11762528	C₄	1	1	yes	characteristic
6	C₁₇×C₆₄	C₄	1	1	yes	characteristic
7	#10587536	—	4	2	no	—
8	C₁₆×D₁₇	D₄	1	1	yes	characteristic
9	C₁₇×C₃₂	C₂×C₄	1	1	yes	characteristic
10	#10587465	Q₈	1	1	yes	characteristic
11	#63243	—	8	2	no	—
12	C₈×D₁₇	D₈	1	1	yes	characteristic
13	C₁₆×C₁₇	C₄⋊C₄	1	1	yes	characteristic
14	#63214	Q₁₆	1	1	yes	characteristic
15	#7547	—	17	1	no	maximal, Sylow
16	C₄×D₁₇	D₁₆	1	1	yes	characteristic
17	#3624	—	16	2	no	—
18	C₈×C₁₇	#107	1	1	yes	characteristic
19	#3622	Q₃₂	1	1	yes	characteristic
20	C₂×C₆₄	—	17	1	no	—
21	#1425	—	17	2	no	—
22	C₂×D₁₇	Q₆₄	1	1	yes	characteristic
23	C₄×C₁₇	#366	1	1	yes	characteristic
24	Dic₁₇	D₃₂	1	1	yes	characteristic
25	C₂×C₃₂	—	17	1	no	—
26	#368	—	34	2	no	—
27	C₆₄	—	17	1	no	—
28	C₆₄	#595	1	1	yes	characteristic
29	C₂×C₁₇	#1423	1	1	yes	characteristic
30	D₁₇	—	2	1	no	—
31	C₂×C₁₆	—	17	1	no	—
32	#108	—	68	2	no	—
33	C₃₂	—	17	1	no	—
34	C₃₂	C₂×#595	1	1	yes	characteristic
35	C₁₇	#7547	1	1	yes	characteristic, complemented, Sylow
36	M₁₆	—	136	2	no	—
37	C₂×C₈	—	17	1	no	—
38	C₁₆	—	17	1	no	—
39	C₁₆	C₄⋊#595	1	1	yes	characteristic
40	C₂×C₄	—	17	1	no	—
41	C₈	—	272	2	no	—
42	C₈	—	17	1	no	—
43	C₈	#10587534	1	1	yes	characteristic
44	C₂²	—	17	1	no	—
45	C₄	—	17	1	no	—
46	C₄	#11763735	1	1	yes	characteristic
47	C₂	—	34	1	no	—
48	C₂	#14543945	1	1	yes	characteristic

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

N	H ≅ G/N	type
35. C₁₇	#7547	semidirect

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