Subgroups — #17187749

Order 4352.

642 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11763239	C₂	1	1	yes	maximal, characteristic
2	#14537702	C₂	1	1	yes	maximal, characteristic, complemented
3	#14530668	C₂	1	4	yes	maximal, complemented
4	#14530663	C₂	1	4	yes	maximal, complemented
5	C₂×#11762638	C₂	1	1	yes	maximal, characteristic, complemented
6	#14530512	C₂	1	1	yes	maximal, characteristic, complemented
7	#14530511	C₂	1	1	yes	maximal, characteristic, complemented
8	#14530381	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#2957	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#10587590	C₂²	1	1	yes	characteristic
11	#11763575	—	2	1	no	—
12	#11763239	C₄	1	2	yes	complemented
13	#11763239	C₄	1	2	yes	complemented
14	#11763239	C₂²	1	2	yes	—
15	#11763239	C₂²	1	2	yes	—
16	C₂×#10587500	C₄	1	1	yes	characteristic, complemented
17	C₂×#10587498	C₄	1	1	yes	characteristic, complemented
18	C₂×#10587499	C₄	1	1	yes	characteristic, complemented
19	C₂×#10587497	C₄	1	1	yes	characteristic, complemented
20	C₂×#10587483	C₂²	1	1	yes	characteristic
21	C₂²×#63214	C₂²	1	1	yes	characteristic
22	#11762932	—	2	2	no	—
23	#11762927	C₂²	1	4	yes	complemented
24	C₂×#10587490	C₂²	1	1	yes	characteristic
25	#11762827	—	2	1	no	—
26	#11762638	C₂²	1	2	yes	complemented
27	#11762638	C₂²	1	2	yes	complemented
28	#11762616	C₂²	1	4	yes	complemented
29	#11762615	C₂²	1	4	yes	complemented
30	#11762585	C₂²	1	2	yes	complemented
31	C₄×#63214	C₂²	1	2	yes	complemented
32	C₂×C₁₇×#135	C₂²	1	1	yes	characteristic
33	C₁₇×#568	—	2	1	no	—
34	C₁₇×#444	—	2	2	no	—
35	C₁₇×#443	C₂²	1	4	yes	complemented
36	C₂×C₁₇×#108	C₂²	1	1	yes	characteristic
37	C₁₇×#421	—	2	1	no	—
38	C₁₇×#405	C₂²	1	1	yes	characteristic
39	C₂×#41×C₁₇	—	2	1	no	—
40	C₂×#63252	—	2	1	no	—
41	C₁₇×#135	—	2	1	no	—
42	C₁₇×#135	—	2	1	no	—
43	C₁₇×#135	C₂×C₄	1	2	yes	—
44	C₁₇×#135	C₂³	1	2	yes	—
45	C₂×Q₁₆×C₁₇	C₂×C₄	1	1	yes	characteristic
46	C₂×SD₁₆×C₁₇	—	2	1	no	—
47	C₂×D₈×C₁₇	C₂×C₄	1	1	yes	characteristic
48	C₁₇×#131	—	2	4	no	—
49	C₁₇×#131	—	4	2	no	—
50	C₂×M₁₆×C₁₇	—	2	1	no	—
51	C₂×M₁₆×C₁₇	—	4	2	no	—
52	C₂×M₁₆×C₁₇	D₄	1	1	yes	characteristic
53	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
54	C₁₇×#117	D₄	1	1	yes	characteristic
55	C₂×#63223	—	2	1	no	—
56	#10587593	—	4	2	no	—
57	M₁₆×D₁₇	—	4	2	no	—
58	C₂×Dic₆₈	C₂×C₄	1	1	yes	characteristic
59	#10587590	—	2	1	no	—
60	#10587590	—	2	1	no	—
61	#10587590	C₂×C₄	1	2	yes	—
62	#10587590	C₂³	1	2	yes	—
63	C₂×D₁₃₆	C₂×C₄	1	1	yes	characteristic
64	C₂×#63219	—	2	1	no	—
65	#10587587	—	2	4	no	—
66	C₁₇×#108	—	2	1	no	—
67	C₁₇×#108	C₂³	1	2	yes	—
68	C₁₇×#104	—	2	4	no	—
69	C₁₇×#97	D₄	1	2	yes	—
70	C₄×C₈×C₁₇	C₂³	1	2	yes	—
71	#10587500	C₂×C₄	1	2	yes	—
72	#10587500	C₂×C₄	1	2	yes	—
73	#10587499	C₂×C₄	1	2	yes	—
74	#10587499	C₂×C₄	1	2	yes	—
75	#10587498	C₂×C₄	1	2	yes	—
76	#10587498	C₂×C₄	1	2	yes	—
77	#10587497	C₂×C₄	1	2	yes	—
78	#10587497	C₂×C₄	1	2	yes	—
79	#10587490	—	2	1	no	—
80	#10587490	C₂³	1	2	yes	—
81	#10587483	—	2	1	no	—
82	#10587483	—	2	1	no	—
83	C₂×#63214	C₂×C₄	1	1	yes	characteristic
84	C₂×#63214	C₂×C₄	1	1	yes	characteristic
85	C₂×#63214	C₂×C₄	1	1	yes	characteristic
86	C₂×#63214	C₂×C₄	1	1	yes	characteristic
87	C₂×#63214	C₂³	1	2	yes	—
88	C₂×#63214	C₂³	1	1	yes	characteristic
89	C₂×#63214	C₂³	1	1	yes	characteristic
90	#10587476	—	2	4	no	—
91	#41×C₁₇	—	2	2	no	—
92	#41×C₁₇	—	2	2	no	—
93	#41×C₁₇	—	4	1	no	—
94	#41×C₁₇	—	4	1	no	—
95	C₂×Q₈×C₁₇	—	2	1	no	—
96	C₂×D₄×C₁₇	—	2	1	no	—
97	C₂×D₄×C₁₇	—	4	1	no	—
98	C₂²×C₄×C₁₇	—	4	1	no	—
99	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
100	C₂×C₂²⋊D₁₇	—	4	1	no	—
101	#63252	—	2	2	no	—
102	#63252	—	2	2	no	—
103	#63252	—	4	1	no	—
104	#63252	—	4	1	no	—
105	C₂×D₆₈	—	2	1	no	—
106	C₂×C₄×D₁₇	—	4	1	no	—
107	C₂×Dic₃₄	—	2	1	no	—
108	Q₁₆×C₁₇	—	2	1	no	—
109	Q₁₆×C₁₇	C₂²×C₄	1	2	yes	—
110	SD₁₆×C₁₇	—	2	2	no	—
111	SD₁₆×C₁₇	—	2	2	no	—
112	D₈×C₁₇	—	2	1	no	—
113	D₈×C₁₇	C₂²×C₄	1	2	yes	—
114	M₁₆×C₁₇	—	2	2	no	—
115	M₁₆×C₁₇	—	4	1	no	—
116	M₁₆×C₁₇	—	4	4	no	—
117	M₁₆×C₁₇	D₈	1	2	yes	—
118	M₁₆×C₁₇	D₈	1	2	yes	—
119	C₂×C₈×C₁₇	—	4	1	no	—
120	C₂×C₈×C₁₇	—	4	4	no	—
121	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
122	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₈×C₁₇	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₁₇	C₂×D₄	1	2	yes	—
125	C₂×C₈×C₁₇	#41	1	1	yes	characteristic
126	C₂×C₈×C₁₇	#41	1	1	yes	characteristic
127	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
128	C₄⋊C₄×C₁₇	—	2	1	no	—
129	C₂²⋊C₄×C₁₇	—	2	1	no	—
130	C₄²×C₁₇	C₂×D₄	1	2	yes	—
131	#63223	—	2	2	no	—
132	#63223	—	4	1	no	—
133	C₂×#3622	—	4	1	no	—
134	Dic₆₈	—	2	1	no	—
135	Dic₆₈	C₂²×C₄	1	2	yes	—
136	D₁₃₆	—	2	1	no	—
137	D₁₃₆	C₂²×C₄	1	2	yes	—
138	#63219	—	2	2	no	—
139	#63219	—	2	2	no	—
140	#63218	—	4	4	no	—
141	C₈×D₁₇	—	4	4	no	—
142	#63214	—	2	2	no	—
143	#63214	C₂²×C₄	1	1	yes	characteristic
144	#63214	C₂²×C₄	1	1	yes	characteristic
145	#63214	C₂²×C₄	1	1	yes	characteristic
146	#63214	C₂²×C₄	1	1	yes	characteristic
147	#33465	—	17	1	no	maximal, Sylow
148	C₂³×C₁₇	—	4	1	no	—
149	C₂³×C₁₇	#135	1	1	yes	characteristic
150	C₂²×D₁₇	—	4	1	no	—
151	Q₈×C₁₇	—	2	2	no	—
152	Q₈×C₁₇	—	4	1	no	—
153	D₄×C₁₇	—	2	2	no	—
154	D₄×C₁₇	—	4	2	no	—
155	D₄×C₁₇	—	4	2	no	—
156	D₄×C₁₇	—	4	1	no	—
157	C₂×C₄×C₁₇	—	2	2	no	—
158	C₂×C₄×C₁₇	—	4	1	no	—
159	C₂×C₄×C₁₇	—	4	2	no	—
160	C₂×C₄×C₁₇	—	4	2	no	—
161	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₇	C₄×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₇	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₁₇	C₂×D₈	1	1	yes	characteristic
165	C₂×C₄×C₁₇	#135	1	1	yes	characteristic
166	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
167	C₂²⋊D₁₇	—	4	2	no	—
168	C₂²⋊D₁₇	—	4	2	no	—
169	C₂×Dic₁₇	—	4	1	no	—
170	D₆₈	—	2	2	no	—
171	D₆₈	—	4	1	no	—
172	C₄×D₁₇	—	4	2	no	—
173	C₄×D₁₇	—	4	2	no	—
174	Dic₃₄	—	2	2	no	—
175	Dic₃₄	—	4	1	no	—
176	C₈×C₁₇	—	4	2	no	—
177	C₈×C₁₇	C₄×D₄	1	1	yes	characteristic
178	C₈×C₁₇	C₄×D₄	1	1	yes	characteristic
179	C₈×C₁₇	C₂×D₈	1	4	yes	—
180	C₈×C₁₇	C₂³×C₄	1	1	yes	characteristic
181	C₈×C₁₇	C₂×#41	1	1	yes	characteristic
182	#3622	—	4	2	no	—
183	C₂×#508	—	17	1	no	—
184	#2957	—	17	1	no	—
185	#2957	D₁₇	1	1	yes	characteristic, complemented
186	#2179	—	17	4	no	—
187	#2178	—	17	4	no	—
188	C₂×#368	—	17	1	no	—
189	#2143	—	17	1	no	—
190	#2143	—	17	1	no	—
191	#2108	—	17	1	no	—
192	C₂²×C₁₇	—	4	1	no	—
193	C₂²×C₁₇	—	4	2	no	—
194	C₂²×C₁₇	—	16	1	no	—
195	C₂²×C₁₇	C₄×D₈	1	1	yes	characteristic
196	C₂²×C₁₇	C₄×D₈	1	1	yes	characteristic
197	C₂²×C₁₇	C₂×#135	1	1	yes	characteristic
198	C₂×D₁₇	—	4	2	no	—
199	C₂×D₁₇	—	16	1	no	—
200	C₄×C₁₇	—	4	2	no	—
201	C₄×C₁₇	—	4	2	no	—
202	C₄×C₁₇	C₄×D₈	1	1	yes	characteristic
203	C₄×C₁₇	C₄×D₈	1	1	yes	characteristic
204	C₄×C₁₇	C₂×C₄×D₄	1	1	yes	characteristic
205	C₄×C₁₇	C₂²×D₈	1	1	yes	characteristic
206	Dic₁₇	—	4	2	no	—
207	C₂×#135	—	17	1	no	—
208	C₂×#135	C₂×D₁₇	1	1	yes	characteristic
209	#568	—	2	1	no	—
210	#568	—	34	1	no	—
211	#508	—	17	2	no	—
212	#508	—	17	2	no	—
213	#508	—	17	2	no	—
214	#508	—	17	2	no	—
215	C₂×Q₃₂	—	17	1	no	—
216	C₂×SD₃₂	—	17	1	no	—
217	C₂×SD₃₂	—	17	1	no	—
218	C₂×D₁₆	—	17	1	no	—
219	C₂×M₃₂	—	17	1	no	—
220	C₂²×C₁₆	—	17	1	no	—
221	#444	—	2	2	no	—
222	#444	—	34	2	no	—
223	#443	—	17	4	no	—
224	#443	C₂×D₁₇	1	4	yes	complemented
225	C₂×#108	—	17	1	no	—
226	C₂×#108	C₂×D₁₇	1	1	yes	characteristic
227	#421	—	2	1	no	—
228	#421	—	34	1	no	—
229	#405	C₂×D₁₇	1	1	yes	characteristic
230	#368	—	17	2	no	—
231	#368	—	17	2	no	—
232	#359	—	17	4	no	—
233	#359	—	17	4	no	—
234	#346	—	17	2	no	—
235	C₄×C₁₆	—	17	2	no	—
236	C₂×C₁₇	—	2	1	no	—
237	C₂×C₁₇	—	2	1	no	—
238	C₂×C₁₇	—	2	1	no	—
239	C₂×C₁₇	—	8	2	no	—
240	C₂×C₁₇	C₂×C₄×D₈	1	1	yes	characteristic
241	D₁₇	—	8	2	no	—
242	C₂×#41	—	2	1	no	—
243	C₂×#41	—	34	1	no	—
244	#135	—	2	1	no	—
245	#135	—	2	1	no	—
246	#135	—	17	2	no	—
247	#135	—	17	2	no	—
248	#135	—	34	1	no	—
249	#135	—	34	1	no	—
250	#135	C₄×D₁₇	1	2	yes	—
251	#135	C₂²×D₁₇	1	2	yes	—
252	C₂×Q₁₆	—	17	1	no	—
253	C₂×Q₁₆	C₄×D₁₇	1	1	yes	characteristic
254	C₂×SD₁₆	—	2	1	no	—
255	C₂×SD₁₆	—	34	1	no	—
256	C₂×D₈	—	17	1	no	—
257	C₂×D₈	C₄×D₁₇	1	1	yes	characteristic
258	#131	—	2	4	no	—
259	#131	—	4	2	no	—
260	#131	—	34	4	no	—
261	#131	—	68	2	no	—
262	C₂×M₁₆	—	2	1	no	—
263	C₂×M₁₆	—	4	2	no	—
264	C₂×M₁₆	—	34	1	no	—
265	C₂×M₁₆	—	68	2	no	—
266	C₂×M₁₆	C₂²⋊D₁₇	1	1	yes	characteristic
267	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
268	#117	C₂²⋊D₁₇	1	1	yes	characteristic
269	Q₃₂	—	17	2	no	—
270	Q₃₂	—	17	2	no	—
271	SD₃₂	—	17	2	no	—
272	SD₃₂	—	17	2	no	—
273	SD₃₂	—	17	2	no	—
274	SD₃₂	—	17	2	no	—
275	D₁₆	—	17	2	no	—
276	D₁₆	—	17	2	no	—
277	M₃₂	—	34	1	no	—
278	M₃₂	—	34	1	no	—
279	C₂×C₁₆	—	17	1	no	—
280	C₂×C₁₆	—	17	1	no	—
281	C₂×C₁₆	—	17	1	no	—
282	C₂×C₁₆	—	17	1	no	—
283	C₂×C₁₆	—	17	1	no	—
284	C₂×C₁₆	—	17	1	no	—
285	C₂×C₁₆	—	17	2	no	—
286	#108	—	2	1	no	—
287	#108	—	17	2	no	—
288	#108	—	34	1	no	—
289	#108	C₂²×D₁₇	1	2	yes	—
290	#104	—	2	4	no	—
291	#104	—	34	4	no	—
292	#97	C₂²⋊D₁₇	1	2	yes	—
293	C₄×C₈	C₂²×D₁₇	1	2	yes	—
294	C₁₇	#33465	1	1	yes	characteristic, complemented, Sylow
295	#41	—	2	2	no	—
296	#41	—	2	2	no	—
297	#41	—	4	1	no	—
298	#41	—	4	1	no	—
299	#41	—	34	2	no	—
300	#41	—	34	2	no	—
301	#41	—	68	1	no	—
302	#41	—	68	1	no	—
303	C₂×Q₈	—	2	1	no	—
304	C₂×Q₈	—	34	1	no	—
305	C₂×D₄	—	2	1	no	—
306	C₂×D₄	—	4	1	no	—
307	C₂×D₄	—	34	1	no	—
308	C₂×D₄	—	68	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	—	68	1	no	—
311	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
312	Q₁₆	—	2	1	no	—
313	Q₁₆	—	17	2	no	—
314	Q₁₆	—	34	1	no	—
315	Q₁₆	C₂×C₄×D₁₇	1	2	yes	—
316	SD₁₆	—	2	2	no	—
317	SD₁₆	—	2	2	no	—
318	SD₁₆	—	34	2	no	—
319	SD₁₆	—	34	2	no	—
320	D₈	—	2	1	no	—
321	D₈	—	17	2	no	—
322	D₈	—	34	1	no	—
323	D₈	C₂×C₄×D₁₇	1	2	yes	—
324	M₁₆	—	2	2	no	—
325	M₁₆	—	4	1	no	—
326	M₁₆	—	4	4	no	—
327	M₁₆	—	34	2	no	—
328	M₁₆	—	68	1	no	—
329	M₁₆	—	68	4	no	—
330	M₁₆	#63228	1	2	yes	—
331	M₁₆	#63228	1	2	yes	—
332	C₂×C₈	—	4	1	no	—
333	C₂×C₈	—	4	4	no	—
334	C₂×C₈	—	68	1	no	—
335	C₂×C₈	—	68	4	no	—
336	C₂×C₈	C₂×C₄×D₁₇	1	1	yes	characteristic
337	C₂×C₈	C₂×C₄×D₁₇	1	1	yes	characteristic
338	C₂×C₈	#63252	1	1	yes	characteristic
339	C₂×C₈	#63252	1	1	yes	characteristic
340	C₂×C₈	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
341	C₂×C₈	C₂×C₂²⋊D₁₇	1	2	yes	—
342	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
343	C₄⋊C₄	—	2	1	no	—
344	C₂²⋊C₄	—	2	1	no	—
345	C₄²	C₂×C₂²⋊D₁₇	1	2	yes	—
346	C₁₆	—	17	1	no	—
347	C₁₆	—	17	1	no	—
348	C₁₆	—	17	1	no	—
349	C₁₆	—	17	1	no	—
350	C₁₆	—	34	2	no	—
351	C₂³	—	4	1	no	—
352	C₂³	—	68	1	no	—
353	C₂³	#10587636	1	1	yes	characteristic
354	Q₈	—	2	2	no	—
355	Q₈	—	4	1	no	—
356	Q₈	—	34	2	no	—
357	Q₈	—	68	1	no	—
358	D₄	—	2	2	no	—
359	D₄	—	4	2	no	—
360	D₄	—	4	2	no	—
361	D₄	—	4	1	no	—
362	D₄	—	34	2	no	—
363	D₄	—	68	2	no	—
364	D₄	—	68	2	no	—
365	D₄	—	68	1	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	68	1	no	—
371	C₂×C₄	—	68	2	no	—
372	C₂×C₄	—	68	2	no	—
373	C₂×C₄	C₄×C₂²⋊D₁₇	1	1	yes	characteristic
374	C₂×C₄	C₄×C₂²⋊D₁₇	1	1	yes	characteristic
375	C₂×C₄	C₂×#63228	1	1	yes	characteristic
376	C₂×C₄	C₂×#63228	1	1	yes	characteristic
377	C₂×C₄	#10587636	1	1	yes	characteristic
378	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
379	C₈	—	4	2	no	—
380	C₈	—	68	2	no	—
381	C₈	C₄×C₂²⋊D₁₇	1	1	yes	characteristic
382	C₈	C₄×C₂²⋊D₁₇	1	1	yes	characteristic
383	C₈	C₂×#63228	1	4	yes	—
384	C₈	C₂²×C₄×D₁₇	1	1	yes	characteristic
385	C₈	C₂×#63252	1	1	yes	characteristic
386	C₂²	—	4	1	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	16	1	no	—
389	C₂²	—	272	1	no	—
390	C₂²	—	68	2	no	—
391	C₂²	C₄×#63228	1	1	yes	characteristic
392	C₂²	C₄×#63228	1	1	yes	characteristic
393	C₂²	C₂×#10587636	1	1	yes	characteristic
394	C₄	—	4	2	no	—
395	C₄	—	4	2	no	—
396	C₄	—	68	2	no	—
397	C₄	C₄×#63228	1	1	yes	characteristic
398	C₄	C₄×#63228	1	1	yes	characteristic
399	C₄	C₂×C₄×C₂²⋊D₁₇	1	1	yes	characteristic
400	C₄	C₂²×#63228	1	1	yes	characteristic
401	C₂	—	2	1	no	—
402	C₂	—	2	1	no	—
403	C₂	—	2	1	no	—
404	C₂	—	8	2	no	—
405	C₂	—	136	2	no	—
406	C₂	C₂×C₄×#63228	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂²×#63228
commutator	C₈×C₁₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₁₇
Fitting	C₁₇×#2957	C₂
socle	C₂×C₁₇	C₂×C₄×D₈
prime radical	C₂×#11763239	C₂
cosocle	C₂×C₈×C₁₇	C₂⁴
hypercenter	#2957	D₁₇
hypocenter	C₁₇	#33465
LCS	G ▷ C₈×C₁₇ ▷ C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₄ ◁ C₂×M₁₆ ◁ #405 ◁ #2957

Complements

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

N	H ≅ G/N	type
2. #14537702	C₂	semidirect
3. #14530668	C₂	semidirect
4. #14530663	C₂	semidirect
5. C₂×#11762638	C₂	semidirect
6. #14530512	C₂	semidirect
7. #14530511	C₂	semidirect
8. #14530381	C₂	semidirect
9. C₁₇×#2957	C₂	semidirect
12. #11763239	C₄	semidirect
13. #11763239	C₄	semidirect
16. C₂×#10587500	C₄	semidirect
17. C₂×#10587498	C₄	semidirect
18. C₂×#10587499	C₄	semidirect
19. C₂×#10587497	C₄	semidirect
23. #11762927	C₂²	semidirect
26. #11762638	C₂²	semidirect
27. #11762638	C₂²	semidirect
28. #11762616	C₂²	semidirect
29. #11762615	C₂²	semidirect
30. #11762585	C₂²	semidirect
31. C₄×#63214	C₂²	semidirect
35. C₁₇×#443	C₂²	semidirect
185. #2957	D₁₇	semidirect
224. #443	C₂×D₁₇	semidirect
294. C₁₇	#33465	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11763239	2
#14537702	2
#14530668	2
#14530663	2
C₂×#11762638	2
#14530512	2
#14530511	2
#14530381	2
C₁₇×#2957	2
#33465	17