Subgroups — #17187576

Order 4352.

648 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14541885	C₂	1	2	yes	maximal, complemented
2	D₁₇×#443	C₂	1	1	yes	maximal, characteristic
3	#14530627	C₂	1	1	yes	maximal, characteristic, complemented
4	#14530626	C₂	1	1	yes	maximal, characteristic, complemented
5	#14530625	C₂	1	1	yes	maximal, characteristic, complemented
6	#14530619	C₂	1	2	yes	maximal, complemented
7	#14530618	C₂	1	2	yes	maximal, complemented
8	D₁₇×#364	C₂	1	1	yes	maximal, characteristic, complemented
9	#14530410	C₂	1	2	yes	maximal, complemented
10	#14530377	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#2171	C₂	1	1	yes	maximal, characteristic, complemented
12	#135×D₁₇	C₄	1	1	yes	characteristic
13	#131×D₁₇	C₂²	1	2	yes	—
14	#11763227	—	2	2	no	—
15	#11763227	C₂²	1	2	yes	complemented
16	#11763226	C₂²	1	2	yes	complemented
17	#11763225	—	2	2	no	—
18	#11763225	C₂²	1	2	yes	complemented
19	C₂×#10587469	—	2	2	no	—
20	C₂×#10587469	C₂²	1	1	yes	characteristic
21	C₂×#10587469	C₂²	1	1	yes	characteristic
22	M₃₂×D₁₇	—	2	2	no	—
23	M₃₂×D₁₇	C₂²	1	2	yes	—
24	#11762927	C₂²	1	1	yes	characteristic
25	#11762926	C₄	1	1	yes	characteristic
26	#11762925	C₄	1	1	yes	characteristic
27	#11762924	C₂²	1	2	yes	—
28	#11762923	C₄	1	2	yes	—
29	#108×D₁₇	C₄	1	1	yes	characteristic
30	#104×D₁₇	C₄	1	2	yes	—
31	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
32	#11762630	C₂²	1	1	yes	characteristic, complemented
33	#11762629	C₂²	1	2	yes	complemented
34	#11762594	C₂²	1	2	yes	complemented
35	#11762593	C₂²	1	2	yes	complemented
36	#11762592	C₂²	1	2	yes	complemented
37	#11762585	C₂²	1	1	yes	characteristic, complemented
38	C₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
39	C₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
40	C₁₇×#504	C₂²	1	2	yes	complemented
41	C₁₇×#443	C₂²	1	1	yes	characteristic
42	C₁₇×#364	C₂²	1	1	yes	characteristic, complemented
43	C₁₇×#350	C₂²	1	2	yes	complemented
44	C₁₇×#346	C₂²	1	1	yes	characteristic, complemented
45	#41×D₁₇	C₂×C₄	1	2	yes	—
46	C₁₇×#135	C₂×C₄	1	1	yes	characteristic
47	C₁₇×#131	C₂³	1	2	yes	—
48	#10587636	C₂×C₄	1	2	yes	—
49	#10587634	C₂×C₄	1	2	yes	—
50	#10587605	C₈	1	1	yes	characteristic
51	Q₁₆×D₁₇	C₈	1	1	yes	characteristic
52	#10587602	C₈	1	2	yes	—
53	SD₁₆×D₁₇	C₈	1	2	yes	—
54	#10587598	C₈	1	1	yes	characteristic
55	D₈×D₁₇	C₈	1	1	yes	characteristic
56	#10587593	—	2	2	no	—
57	#10587593	C₂×C₄	1	2	yes	—
58	M₁₆×D₁₇	—	2	2	no	—
59	M₁₆×D₁₇	C₂×C₄	1	2	yes	—
60	#10587590	C₂×C₄	1	1	yes	characteristic
61	#10587587	—	2	2	no	—
62	#10587587	C₂³	1	2	yes	—
63	C₂×C₈×D₁₇	—	2	2	no	—
64	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
65	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
66	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
67	C₁₇×M₃₂	—	2	2	no	—
68	C₁₇×M₃₂	C₂³	1	2	yes	—
69	C₂×C₁₆×C₁₇	—	2	2	no	—
70	C₂×C₁₆×C₁₇	C₂³	1	1	yes	characteristic
71	C₂×C₁₆×C₁₇	C₂³	1	1	yes	characteristic
72	C₁₇×#108	C₂×C₄	1	1	yes	characteristic
73	C₁₇×#104	C₂×C₄	1	2	yes	—
74	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
75	#10587508	C₂×C₄	1	2	yes	—
76	#10587496	C₂×C₄	1	2	yes	—
77	#10587493	C₂×C₄	1	2	yes	—
78	#10587490	C₂×C₄	1	1	yes	characteristic
79	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
80	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
81	#10587483	—	2	2	no	—
82	#10587483	C₂³	1	2	yes	—
83	C₂×#63214	—	2	2	no	—
84	C₂×#63214	C₂³	1	1	yes	characteristic
85	C₂×#63214	C₂³	1	1	yes	characteristic
86	#10587476	C₂×C₄	1	2	yes	—
87	C₄×#3622	C₂×C₄	1	1	yes	characteristic
88	#10587469	—	2	2	no	—
89	#10587469	—	2	1	no	—
90	#10587469	—	2	1	no	—
91	#10587469	—	2	2	no	—
92	#10587469	—	2	2	no	—
93	#10587469	D₄	1	2	yes	—
94	#10587469	D₄	1	2	yes	—
95	C₁₆×D₁₇	—	2	2	no	—
96	C₁₆×D₁₇	—	2	2	no	—
97	C₁₆×D₁₇	—	2	2	no	—
98	#41×C₁₇	C₂²×C₄	1	2	yes	—
99	#63256	C₂×C₈	1	2	yes	—
100	Q₈×D₁₇	C₂×C₈	1	2	yes	—
101	#63254	—	2	2	no	—
102	#63254	C₂×C₈	1	2	yes	—
103	D₄×D₁₇	—	2	2	no	—
104	D₄×D₁₇	C₂×C₈	1	2	yes	—
105	#63252	—	2	2	no	—
106	#63252	C₂²×C₄	1	2	yes	—
107	C₂×C₄×D₁₇	—	2	2	no	—
108	C₂×C₄×D₁₇	—	2	1	no	—
109	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
110	Q₁₆×C₁₇	C₂×C₈	1	1	yes	characteristic
111	SD₁₆×C₁₇	C₂×C₈	1	2	yes	—
112	D₈×C₁₇	C₂×C₈	1	1	yes	characteristic
113	M₁₆×C₁₇	—	2	2	no	—
114	M₁₆×C₁₇	C₂²×C₄	1	2	yes	—
115	C₂×C₈×C₁₇	—	2	2	no	—
116	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
118	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
119	#63231	C₂×C₈	1	2	yes	—
120	#63230	C₂×C₈	1	2	yes	—
121	#63229	C₂×C₈	1	2	yes	—
122	#63228	C₂×C₈	1	2	yes	—
123	C₄×Dic₁₇	—	2	1	no	—
124	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
125	#63223	—	2	2	no	—
126	#63223	C₂²×C₄	1	2	yes	—
127	C₂×#3622	—	2	2	no	—
128	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
129	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
130	Dic₆₈	C₂×C₈	1	1	yes	characteristic
131	D₁₃₆	C₂×C₈	1	1	yes	characteristic
132	#63219	C₂×C₈	1	2	yes	—
133	#63218	—	2	2	no	—
134	#63218	—	2	2	no	—
135	#63218	—	2	2	no	—
136	C₈×D₁₇	—	2	2	no	—
137	C₈×D₁₇	—	2	2	no	—
138	C₈×D₁₇	—	2	2	no	—
139	C₈×D₁₇	C₂×C₈	1	1	yes	characteristic
140	C₈×D₁₇	C₂×C₈	1	1	yes	characteristic
141	C₈×D₁₇	C₂×C₈	1	1	yes	characteristic
142	C₈×D₁₇	C₂×C₈	1	1	yes	characteristic
143	C₈×D₁₇	C₂×D₄	1	1	yes	characteristic
144	C₈×D₁₇	C₂×D₄	1	1	yes	characteristic
145	C₈×D₁₇	#41	1	1	yes	characteristic
146	C₈×D₁₇	#41	1	1	yes	characteristic
147	C₁₆×C₁₇	—	2	2	no	—
148	C₁₆×C₁₇	—	2	1	no	—
149	C₁₆×C₁₇	C₂×D₄	1	2	yes	—
150	#63214	—	2	2	no	—
151	#63214	—	2	1	no	—
152	#63214	C₂×D₄	1	2	yes	—
153	#33443	—	17	1	no	maximal, Sylow
154	C₂²×D₁₇	—	2	2	no	—
155	C₂²×D₁₇	#131	1	1	yes	characteristic
156	Q₈×C₁₇	C₂²×C₈	1	2	yes	—
157	D₄×C₁₇	—	2	2	no	—
158	D₄×C₁₇	C₂²×C₈	1	2	yes	—
159	C₂×C₄×C₁₇	—	2	2	no	—
160	C₂×C₄×C₁₇	—	2	1	no	—
161	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
162	C₂²⋊D₁₇	—	2	2	no	—
163	C₂²⋊D₁₇	—	2	2	no	—
164	C₂²⋊D₁₇	—	2	2	no	—
165	C₂×Dic₁₇	—	2	1	no	—
166	C₂×Dic₁₇	—	2	2	no	—
167	C₂×Dic₁₇	#131	1	1	yes	characteristic
168	D₆₈	—	2	2	no	—
169	D₆₈	C₂²×C₈	1	2	yes	—
170	C₄×D₁₇	—	2	2	no	—
171	C₄×D₁₇	—	2	2	no	—
172	C₄×D₁₇	—	2	2	no	—
173	C₄×D₁₇	—	4	2	no	—
174	C₄×D₁₇	C₄×D₄	1	1	yes	characteristic
175	C₄×D₁₇	C₄×D₄	1	1	yes	characteristic
176	C₄×D₁₇	C₂²×C₈	1	1	yes	characteristic
177	C₄×D₁₇	C₂²×C₈	1	1	yes	characteristic
178	Dic₃₄	—	2	2	no	—
179	Dic₃₄	C₂²×C₈	1	2	yes	—
180	C₈×C₁₇	—	2	2	no	—
181	C₈×C₁₇	C₂²×C₈	1	1	yes	characteristic
182	C₈×C₁₇	C₂²×C₈	1	1	yes	characteristic
183	C₈×C₁₇	C₂²×D₄	1	1	yes	characteristic
184	C₈×C₁₇	C₂×#41	1	1	yes	characteristic
185	#3622	—	2	2	no	—
186	#3622	C₄×D₄	1	1	yes	characteristic
187	#3622	C₄×D₄	1	1	yes	characteristic
188	#3622	C₂²×C₈	1	1	yes	characteristic
189	#3622	C₂²×C₈	1	1	yes	characteristic
190	#3407	—	17	2	no	—
191	C₂×#443	—	17	1	no	—
192	#2171	—	17	1	no	—
193	#2171	—	17	1	no	—
194	#2171	—	17	1	no	—
195	#2171	D₁₇	1	1	yes	characteristic, complemented
196	#2170	—	17	2	no	—
197	#2170	—	17	2	no	—
198	C₂×#364	—	17	1	no	—
199	#2117	—	17	2	no	—
200	C₄×M₃₂	—	17	1	no	—
201	C₂²×C₁₇	—	2	2	no	—
202	C₂²×C₁₇	C₂×#131	1	1	yes	characteristic
203	C₂×D₁₇	—	2	2	no	—
204	C₂×D₁₇	—	4	1	no	—
205	C₂×D₁₇	—	8	2	no	—
206	C₂×D₁₇	C₈×D₄	1	1	yes	characteristic
207	C₂×D₁₇	C₈×D₄	1	1	yes	characteristic
208	C₄×C₁₇	—	2	2	no	—
209	C₄×C₁₇	—	4	1	no	—
210	C₄×C₁₇	C₂×C₄×D₄	1	1	yes	characteristic
211	C₄×C₁₇	C₂³×C₈	1	1	yes	characteristic
212	Dic₁₇	—	2	2	no	—
213	Dic₁₇	—	2	2	no	—
214	Dic₁₇	C₈×D₄	1	1	yes	characteristic
215	Dic₁₇	C₈×D₄	1	1	yes	characteristic
216	C₂×#135	—	17	1	no	—
217	C₂×#131	—	17	2	no	—
218	#504	—	17	2	no	—
219	#504	—	17	2	no	—
220	#504	—	17	2	no	—
221	#504	—	34	2	no	—
222	#504	—	34	2	no	—
223	#504	C₂×D₁₇	1	2	yes	complemented
224	C₂×M₃₂	—	17	1	no	—
225	C₂×M₃₂	—	17	1	no	—
226	C₂×M₃₂	—	17	2	no	—
227	C₂×M₃₂	—	34	2	no	—
228	C₂×M₃₂	—	34	2	no	—
229	#443	—	17	1	no	—
230	#443	—	17	2	no	—
231	#443	—	17	1	no	—
232	#443	—	17	2	no	—
233	#443	—	17	1	no	—
234	#443	C₂×D₁₇	1	1	yes	characteristic
235	C₂×#108	—	17	1	no	—
236	C₂×#104	—	17	2	no	—
237	C₂×C₄×C₈	—	17	1	no	—
238	#364	—	17	2	no	—
239	#364	—	17	1	no	—
240	#364	C₂×D₁₇	1	1	yes	characteristic, complemented
241	#350	—	17	2	no	—
242	#350	—	17	2	no	—
243	#350	—	17	2	no	—
244	#350	C₂×D₁₇	1	2	yes	complemented
245	#346	—	17	1	no	—
246	#346	C₂×D₁₇	1	1	yes	characteristic, complemented
247	C₄×C₁₆	—	17	1	no	—
248	C₄×C₁₆	—	17	1	no	—
249	C₂×C₁₇	—	2	1	no	—
250	C₂×C₁₇	—	4	2	no	—
251	C₂×C₁₇	C₂×C₈×D₄	1	1	yes	characteristic
252	D₁₇	—	2	1	no	—
253	D₁₇	—	2	1	no	—
254	D₁₇	—	4	2	no	—
255	C₂×#41	—	17	2	no	—
256	#135	—	17	2	no	—
257	#135	—	17	1	no	—
258	#135	—	17	2	no	—
259	#135	—	17	1	no	—
260	#135	—	17	1	no	—
261	#135	C₄×D₁₇	1	1	yes	characteristic
262	C₂×Q₁₆	—	17	1	no	—
263	C₂×SD₁₆	—	17	2	no	—
264	C₂×D₈	—	17	1	no	—
265	#131	—	17	2	no	—
266	#131	—	17	2	no	—
267	#131	—	17	2	no	—
268	#131	—	34	2	no	—
269	#131	—	34	2	no	—
270	#131	C₂²×D₁₇	1	2	yes	—
271	C₂×M₁₆	—	17	2	no	—
272	C₂×M₁₆	—	34	2	no	—
273	C₂²×C₈	—	17	1	no	—
274	C₂²×C₈	—	17	1	no	—
275	C₂²×C₈	—	34	2	no	—
276	C₂×C₄²	—	17	1	no	—
277	M₃₂	—	2	2	no	—
278	M₃₂	—	17	2	no	—
279	M₃₂	—	17	2	no	—
280	M₃₂	—	17	2	no	—
281	M₃₂	—	34	2	no	—
282	M₃₂	—	34	1	no	—
283	M₃₂	—	34	1	no	—
284	M₃₂	—	34	2	no	—
285	M₃₂	—	34	2	no	—
286	M₃₂	—	34	2	no	—
287	M₃₂	C₂²×D₁₇	1	2	yes	—
288	C₂×C₁₆	—	2	2	no	—
289	C₂×C₁₆	—	17	1	no	—
290	C₂×C₁₆	—	17	1	no	—
291	C₂×C₁₆	—	34	2	no	—
292	C₂×C₁₆	—	34	2	no	—
293	C₂×C₁₆	—	34	2	no	—
294	C₂×C₁₆	—	34	2	no	—
295	C₂×C₁₆	C₂²×D₁₇	1	1	yes	characteristic
296	C₂×C₁₆	C₂²×D₁₇	1	1	yes	characteristic
297	#108	—	17	2	no	—
298	#108	—	17	1	no	—
299	#108	C₄×D₁₇	1	1	yes	characteristic
300	#104	—	17	2	no	—
301	#104	—	17	2	no	—
302	#104	—	17	2	no	—
303	#104	C₄×D₁₇	1	2	yes	—
304	C₄×C₈	—	17	1	no	—
305	C₄×C₈	—	17	1	no	—
306	C₄×C₈	—	17	1	no	—
307	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
308	C₁₇	#33443	1	1	yes	characteristic, complemented, Sylow
309	#41	—	17	2	no	—
310	#41	—	17	2	no	—
311	#41	—	17	2	no	—
312	#41	—	34	2	no	—
313	#41	—	34	2	no	—
314	#41	C₂×C₄×D₁₇	1	2	yes	—
315	C₂×Q₈	—	17	2	no	—
316	C₂×D₄	—	17	2	no	—
317	C₂×D₄	—	34	2	no	—
318	C₂²×C₄	—	17	1	no	—
319	C₂²×C₄	—	34	2	no	—
320	C₂²×C₄	—	34	1	no	—
321	Q₁₆	—	17	2	no	—
322	Q₁₆	—	17	1	no	—
323	Q₁₆	C₈×D₁₇	1	1	yes	characteristic
324	SD₁₆	—	17	2	no	—
325	SD₁₆	—	17	2	no	—
326	SD₁₆	—	17	2	no	—
327	SD₁₆	C₈×D₁₇	1	2	yes	—
328	D₈	—	17	2	no	—
329	D₈	—	17	1	no	—
330	D₈	C₈×D₁₇	1	1	yes	characteristic
331	M₁₆	—	2	2	no	—
332	M₁₆	—	17	2	no	—
333	M₁₆	—	34	2	no	—
334	M₁₆	—	34	2	no	—
335	M₁₆	—	34	2	no	—
336	M₁₆	—	34	2	no	—
337	M₁₆	C₂×C₄×D₁₇	1	2	yes	—
338	C₂×C₈	—	2	2	no	—
339	C₂×C₈	—	17	1	no	—
340	C₂×C₈	—	17	1	no	—
341	C₂×C₈	—	17	1	no	—
342	C₂×C₈	—	17	1	no	—
343	C₂×C₈	—	17	1	no	—
344	C₂×C₈	—	17	1	no	—
345	C₂×C₈	—	17	1	no	—
346	C₂×C₈	—	17	1	no	—
347	C₂×C₈	—	17	1	no	—
348	C₂×C₈	—	17	1	no	—
349	C₂×C₈	—	34	2	no	—
350	C₂×C₈	—	34	2	no	—
351	C₂×C₈	—	34	2	no	—
352	C₂×C₈	—	34	2	no	—
353	C₂×C₈	C₂×C₄×D₁₇	1	1	yes	characteristic
354	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
355	C₄²	—	17	1	no	—
356	C₄²	—	34	1	no	—
357	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
358	C₁₆	—	2	2	no	—
359	C₁₆	—	2	1	no	—
360	C₁₆	—	17	2	no	—
361	C₁₆	—	34	2	no	—
362	C₁₆	—	34	1	no	—
363	C₁₆	D₄×D₁₇	1	2	yes	—
364	C₂³	—	17	1	no	—
365	C₂³	—	34	2	no	—
366	Q₈	—	17	2	no	—
367	Q₈	—	34	2	no	—
368	Q₈	C₂×C₈×D₁₇	1	2	yes	—
369	D₄	—	2	2	no	—
370	D₄	—	17	2	no	—
371	D₄	—	34	2	no	—
372	D₄	—	34	2	no	—
373	D₄	—	34	2	no	—
374	D₄	—	34	2	no	—
375	D₄	C₂×C₈×D₁₇	1	2	yes	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	17	1	no	—
379	C₂×C₄	—	17	1	no	—
380	C₂×C₄	—	17	1	no	—
381	C₂×C₄	—	17	1	no	—
382	C₂×C₄	—	17	1	no	—
383	C₂×C₄	—	34	2	no	—
384	C₂×C₄	—	34	2	no	—
385	C₂×C₄	—	34	2	no	—
386	C₂×C₄	—	34	1	no	—
387	C₂×C₄	—	34	2	no	—
388	C₂×C₄	—	68	2	no	—
389	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
390	C₈	—	2	2	no	—
391	C₈	—	17	1	no	—
392	C₈	—	17	1	no	—
393	C₈	—	17	1	no	—
394	C₈	—	17	1	no	—
395	C₈	—	34	2	no	—
396	C₈	C₂×C₈×D₁₇	1	1	yes	characteristic
397	C₈	C₂×C₈×D₁₇	1	1	yes	characteristic
398	C₈	C₂×D₄×D₁₇	1	1	yes	characteristic
399	C₈	#41×D₁₇	1	1	yes	characteristic
400	C₂²	—	2	2	no	—
401	C₂²	—	17	1	no	—
402	C₂²	—	17	1	no	—
403	C₂²	—	34	2	no	—
404	C₂²	—	68	1	no	—
405	C₂²	—	136	2	no	—
406	C₂²	#131×D₁₇	1	1	yes	characteristic
407	C₄	—	2	2	no	—
408	C₄	—	4	1	no	—
409	C₄	—	17	1	no	—
410	C₄	—	17	1	no	—
411	C₄	—	34	2	no	—
412	C₄	—	34	2	no	—
413	C₄	C₄×D₄×D₁₇	1	1	yes	characteristic
414	C₄	C₂²×C₈×D₁₇	1	1	yes	characteristic
415	C₂	—	2	1	no	—
416	C₂	—	4	2	no	—
417	C₂	—	34	1	no	—
418	C₂	—	34	1	no	—
419	C₂	—	68	2	no	—
420	C₂	C₈×D₄×D₁₇	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₄×D₁₇
commutator	C₄×C₁₇	C₂³×C₈
Frattini	C₂×C₈	C₂³×D₁₇
Fitting	C₁₇×#2171	C₂
socle	C₂×C₁₇	C₂×C₈×D₄
prime radical	#135×D₁₇	C₄
cosocle	C₂×C₈×C₁₇	C₂⁴
hypercenter	#2171	D₁₇
hypocenter	C₁₇	#33443
LCS	G ▷ C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₈ ◁ C₂×C₁₆ ◁ #2171

Complements

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

N	H ≅ G/N	type
1. #14541885	C₂	semidirect
3. #14530627	C₂	semidirect
4. #14530626	C₂	semidirect
5. #14530625	C₂	semidirect
6. #14530619	C₂	semidirect
7. #14530618	C₂	semidirect
8. D₁₇×#364	C₂	semidirect
9. #14530410	C₂	semidirect
10. #14530377	C₂	semidirect
11. C₁₇×#2171	C₂	semidirect
15. #11763227	C₂²	semidirect
16. #11763226	C₂²	semidirect
18. #11763225	C₂²	semidirect
32. #11762630	C₂²	semidirect
33. #11762629	C₂²	semidirect
34. #11762594	C₂²	semidirect
35. #11762593	C₂²	semidirect
36. #11762592	C₂²	semidirect
37. #11762585	C₂²	semidirect
38. C₁₆×Dic₁₇	C₂²	semidirect
39. C₁₆×Dic₁₇	C₂²	semidirect
40. C₁₇×#504	C₂²	semidirect
42. C₁₇×#364	C₂²	semidirect
43. C₁₇×#350	C₂²	semidirect
44. C₁₇×#346	C₂²	semidirect
195. #2171	D₁₇	semidirect
223. #504	C₂×D₁₇	semidirect
240. #364	C₂×D₁₇	semidirect
244. #350	C₂×D₁₇	semidirect
246. #346	C₂×D₁₇	semidirect
308. C₁₇	#33443	semidirect

Maximal subgroups

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

subgroup	index
#14541885	2
D₁₇×#443	2
#14530627	2
#14530626	2
#14530625	2
#14530619	2
#14530618	2
D₁₇×#364	2
#14530410	2
#14530377	2
C₁₇×#2171	2
#33443	17