Subgroups — #14540601

Order 2176.

462 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11763517	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₂²⋊D₁₇	C₂	1	1	yes	maximal, characteristic
3	#11763154	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763128	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763126	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763097	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763040	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763035	C₂	1	1	yes	maximal, characteristic, complemented
9	#11763007	C₂	1	1	yes	maximal, characteristic, complemented
10	#11762958	C₂	1	1	yes	maximal, characteristic, complemented
11	SD₁₆×Dic₁₇	C₂	1	1	yes	maximal, characteristic, complemented
12	#11762872	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#10587503	C₂	1	1	yes	maximal, characteristic, complemented
14	#102×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₄×C₁₇	C₂²	1	1	yes	characteristic
17	C₂²×C₂²⋊D₁₇	—	2	1	no	—
18	C₂×D₄×D₁₇	C₂²	1	1	yes	characteristic
19	C₂×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
20	C₂×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
21	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
22	#10587639	—	2	1	no	—
23	#10587632	C₂²	1	1	yes	characteristic, complemented
24	Q₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
25	C₂×#63230	C₂²	1	1	yes	characteristic, complemented
26	#10587626	C₂²	1	1	yes	characteristic
27	#10587625	—	2	1	no	—
28	#10587624	C₂²	1	1	yes	characteristic
29	#10587623	—	2	1	no	—
30	D₄×Dic₁₇	C₂²	1	1	yes	characteristic
31	#10587616	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
33	C₂×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#3622	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
36	#10587583	—	2	1	no	—
37	C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
38	#10587575	—	2	1	no	—
39	#10587574	C₂²	1	1	yes	characteristic, complemented
40	#10587567	—	2	1	no	—
41	#10587564	—	2	1	no	—
42	C₁₇×#102	C₂²	1	1	yes	characteristic
43	C₁₇×#102	C₂²	1	1	yes	characteristic, complemented
44	C₁₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
45	#10587506	C₂²	1	1	yes	characteristic, complemented
46	#10587503	C₂²	1	1	yes	characteristic
47	#10587503	C₂²	1	1	yes	characteristic
48	#10587503	C₂²	1	1	yes	characteristic, complemented
49	#10587503	C₂²	1	1	yes	characteristic, complemented
50	#10587492	C₂²	1	1	yes	characteristic, complemented
51	#10587492	C₂²	1	1	yes	characteristic, complemented
52	#10587491	C₂²	1	1	yes	characteristic, complemented
53	#10587488	C₂²	1	1	yes	characteristic, complemented
54	#10587488	C₂²	1	1	yes	characteristic, complemented
55	#10587485	C₂²	1	1	yes	characteristic, complemented
56	C₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
57	#10587480	C₂²	1	1	yes	characteristic, complemented
58	#10587479	C₂²	1	1	yes	characteristic, complemented
59	C₂⁴×C₁₇	—	2	1	no	—
60	C₂³×D₁₇	—	2	1	no	—
61	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₁₇	—	2	2	no	—
63	C₂×D₄×C₁₇	—	2	1	no	—
64	C₂×D₄×C₁₇	—	4	1	no	—
65	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
68	C₂×C₂²⋊D₁₇	—	2	1	no	—
69	C₂×C₂²⋊D₁₇	—	2	1	no	—
70	C₂×C₂²⋊D₁₇	—	2	1	no	—
71	C₂×C₂²⋊D₁₇	—	2	1	no	—
72	C₂×C₂²⋊D₁₇	—	2	1	no	—
73	C₂×C₂²⋊D₁₇	—	4	4	no	—
74	C₂×C₂²⋊D₁₇	D₄	1	1	yes	characteristic
75	C₂²×Dic₁₇	—	2	1	no	—
76	C₂²×Dic₁₇	—	2	1	no	—
77	D₄×D₁₇	—	2	2	no	—
78	D₄×D₁₇	—	4	1	no	—
79	C₂×D₆₈	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₇	—	2	1	no	—
81	C₂×C₄×D₁₇	C₂³	1	1	yes	characteristic
82	C₂×Dic₃₄	—	2	1	no	—
83	SD₁₆×C₁₇	—	2	2	no	—
84	SD₁₆×C₁₇	—	4	1	no	—
85	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₁₇	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₁₇	—	2	1	no	—
88	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
89	C₂²⋊C₄×C₁₇	—	2	1	no	—
90	C₂²⋊Dic₁₇	—	2	1	no	—
91	C₂²⋊Dic₁₇	—	2	1	no	—
92	C₂²⋊Dic₁₇	D₄	1	1	yes	characteristic
93	#63230	—	4	1	no	—
94	#63227	—	2	1	no	—
95	#63227	—	2	1	no	—
96	#63227	D₄	1	1	yes	characteristic
97	C₄⋊Dic₁₇	—	2	1	no	—
98	C₄⋊Dic₁₇	—	2	1	no	—
99	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
100	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
101	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
102	#63225	—	2	1	no	—
103	#63225	—	2	1	no	—
104	#63225	—	2	1	no	—
105	#63225	D₄	1	1	yes	characteristic
106	C₄×Dic₁₇	—	2	1	no	—
107	C₄×Dic₁₇	C₂³	1	1	yes	characteristic
108	C₂×#3622	—	4	1	no	—
109	C₂×#3622	C₂³	1	1	yes	characteristic
110	C₂×#3622	C₂³	1	1	yes	characteristic
111	C₈×D₁₇	—	4	1	no	—
112	C₂³×C₁₇	—	2	1	no	—
113	C₂³×C₁₇	—	2	1	no	—
114	C₂³×C₁₇	—	4	2	no	—
115	C₂³×C₁₇	—	4	2	no	—
116	C₂³×C₁₇	—	8	1	no	—
117	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
118	C₂²×D₁₇	—	2	1	no	—
119	C₂²×D₁₇	—	4	2	no	—
120	C₂²×D₁₇	—	4	2	no	—
121	C₂²×D₁₇	—	8	1	no	—
122	C₂²×D₁₇	C₂×D₄	1	1	yes	characteristic
123	Q₈×C₁₇	—	2	1	no	—
124	Q₈×C₁₇	—	2	1	no	—
125	D₄×C₁₇	—	2	1	no	—
126	D₄×C₁₇	—	2	1	no	—
127	D₄×C₁₇	—	2	1	no	—
128	D₄×C₁₇	—	4	2	no	—
129	D₄×C₁₇	#41	1	2	yes	—
130	C₂×C₄×C₁₇	—	2	1	no	—
131	C₂×C₄×C₁₇	—	2	1	no	—
132	C₂×C₄×C₁₇	—	2	1	no	—
133	C₂×C₄×C₁₇	—	2	1	no	—
134	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
136	C₂²⋊D₁₇	—	4	2	no	—
137	C₂²⋊D₁₇	—	4	2	no	—
138	C₂²⋊D₁₇	—	4	2	no	—
139	C₂²⋊D₁₇	—	4	2	no	—
140	C₂²⋊D₁₇	—	8	1	no	—
141	C₂²⋊D₁₇	SD₁₆	1	4	yes	complemented
142	C₂×Dic₁₇	—	2	1	no	—
143	C₂×Dic₁₇	—	2	1	no	—
144	C₂×Dic₁₇	—	2	1	no	—
145	C₂×Dic₁₇	—	4	2	no	—
146	C₂×Dic₁₇	—	8	1	no	—
147	C₂×Dic₁₇	C₂×D₄	1	1	yes	characteristic
148	C₂×Dic₁₇	C₂×D₄	1	1	yes	characteristic
149	C₂×Dic₁₇	C₂×D₄	1	1	yes	characteristic
150	D₆₈	—	2	1	no	—
151	D₆₈	—	2	1	no	—
152	C₄×D₁₇	—	2	1	no	—
153	C₄×D₁₇	—	2	1	no	—
154	C₄×D₁₇	—	8	1	no	—
155	Dic₃₄	—	8	1	no	—
156	C₈×C₁₇	—	2	1	no	—
157	C₈×C₁₇	—	2	1	no	—
158	#3622	—	2	1	no	—
159	#3622	—	2	1	no	—
160	#3295	—	17	1	no	maximal, Sylow
161	C₂²×C₁₇	—	2	1	no	—
162	C₂²×C₁₇	—	2	1	no	—
163	C₂²×C₁₇	—	2	2	no	—
164	C₂²×C₁₇	—	4	1	no	—
165	C₂²×C₁₇	—	4	1	no	—
166	C₂²×C₁₇	—	4	1	no	—
167	C₂²×C₁₇	—	4	1	no	—
168	C₂²×C₁₇	—	4	1	no	—
169	C₂²×C₁₇	—	8	4	no	—
170	C₂²×C₁₇	C₂×SD₁₆	1	2	yes	—
171	C₂²×C₁₇	C₂²×D₄	1	1	yes	characteristic
172	C₂×D₁₇	—	2	1	no	—
173	C₂×D₁₇	—	2	1	no	—
174	C₂×D₁₇	—	4	1	no	—
175	C₂×D₁₇	—	4	1	no	—
176	C₂×D₁₇	—	4	1	no	—
177	C₂×D₁₇	—	8	4	no	—
178	C₂×D₁₇	C₂×SD₁₆	1	2	yes	—
179	C₄×C₁₇	—	2	1	no	—
180	C₄×C₁₇	—	4	1	no	—
181	C₄×C₁₇	—	4	1	no	—
182	C₄×C₁₇	C₂×#41	1	1	yes	characteristic
183	C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
184	Dic₁₇	—	2	1	no	—
185	Dic₁₇	—	2	1	no	—
186	Dic₁₇	—	4	1	no	—
187	Dic₁₇	—	4	1	no	—
188	Dic₁₇	—	4	1	no	—
189	Dic₁₇	C₂×SD₁₆	1	2	yes	—
190	#554	—	17	1	no	—
191	D₄²	—	17	1	no	—
192	#486	—	17	1	no	—
193	#481	—	17	1	no	—
194	#481	—	17	1	no	—
195	#476	—	17	1	no	—
196	#465	—	17	1	no	—
197	#465	—	17	1	no	—
198	#460	—	17	1	no	—
199	#450	—	17	1	no	—
200	#450	D₁₇	1	1	yes	characteristic, complemented
201	C₄×SD₁₆	—	17	1	no	—
202	C₈×D₄	—	17	1	no	—
203	C₂×#102	—	17	1	no	—
204	C₂×#102	—	17	1	no	—
205	C₂×C₁₇	—	2	2	no	—
206	C₂×C₁₇	—	4	2	no	—
207	C₂×C₁₇	—	8	1	no	—
208	C₂×C₁₇	#546	1	1	yes	characteristic
209	C₂×C₁₇	C₂²×SD₁₆	1	1	yes	characteristic
210	C₂×C₁₇	#576	1	1	yes	characteristic
211	D₁₇	—	2	2	no	—
212	D₁₇	—	8	1	no	—
213	C₂²×D₄	—	17	1	no	—
214	C₂²×D₄	—	34	1	no	—
215	C₂²×D₄	C₂×D₁₇	1	1	yes	characteristic
216	C₂×SD₁₆	—	17	1	no	—
217	C₂×SD₁₆	C₂×D₁₇	1	1	yes	characteristic
218	C₂×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
219	C₂²×C₈	—	17	1	no	—
220	C₂²×C₈	—	17	1	no	—
221	C₄⋊Q₈	—	17	1	no	—
222	#127	—	17	1	no	—
223	#125	—	34	1	no	—
224	C₂²⋊Q₈	—	17	1	no	—
225	C₂²⋊Q₈	—	34	1	no	—
226	C₂²⋊Q₈	—	34	1	no	—
227	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
228	#121	—	17	1	no	—
229	#121	—	17	1	no	—
230	#121	—	34	1	no	—
231	#120	—	34	1	no	—
232	#120	—	34	1	no	—
233	C₄×Q₈	—	17	1	no	—
234	C₄×D₄	—	17	1	no	—
235	C₄×D₄	—	17	1	no	—
236	C₄×D₄	—	34	1	no	—
237	C₂×C₄⋊C₄	—	17	1	no	—
238	C₂×C₄⋊C₄	—	17	1	no	—
239	#106	—	17	1	no	—
240	#106	—	17	1	no	—
241	#106	—	17	1	no	—
242	C₄⋊C₈	—	17	1	no	—
243	#103	—	17	1	no	—
244	#102	—	17	1	no	—
245	#102	—	17	1	no	—
246	#102	—	17	1	no	—
247	#102	—	17	1	no	—
248	#102	—	17	1	no	—
249	#102	—	17	1	no	—
250	#102	—	17	1	no	—
251	#102	C₂×D₁₇	1	1	yes	characteristic
252	#102	C₂×D₁₇	1	1	yes	characteristic, complemented
253	C₂²⋊C₈	—	17	1	no	—
254	C₂²⋊C₈	C₂×D₁₇	1	1	yes	characteristic, complemented
255	C₄×C₈	—	17	1	no	—
256	C₁₇	#3295	1	1	yes	characteristic, complemented, Sylow
257	C₂⁴	—	2	1	no	—
258	C₂⁴	—	34	1	no	—
259	C₂×Q₈	—	34	1	no	—
260	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	1	no	—
263	C₂×D₄	—	4	1	no	—
264	C₂×D₄	—	17	1	no	—
265	C₂×D₄	—	17	1	no	—
266	C₂×D₄	—	34	1	no	—
267	C₂×D₄	—	34	1	no	—
268	C₂×D₄	—	34	1	no	—
269	C₂×D₄	—	34	2	no	—
270	C₂×D₄	—	34	1	no	—
271	C₂×D₄	—	34	1	no	—
272	C₂×D₄	—	68	1	no	—
273	C₂×D₄	—	68	4	no	—
274	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
275	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
276	C₂²×C₄	—	17	1	no	—
277	C₂²×C₄	—	34	1	no	—
278	C₂²×C₄	—	34	1	no	—
279	C₂²×C₄	—	34	1	no	—
280	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
281	SD₁₆	—	2	2	no	—
282	SD₁₆	—	4	1	no	—
283	SD₁₆	—	68	1	no	—
284	C₂×C₈	—	17	1	no	—
285	C₂×C₈	—	17	1	no	—
286	C₂×C₈	—	68	1	no	—
287	C₂×C₈	—	68	1	no	—
288	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
289	C₂×C₈	C₂²×D₁₇	1	1	yes	characteristic
290	C₄⋊C₄	—	2	1	no	—
291	C₄⋊C₄	—	17	1	no	—
292	C₄⋊C₄	—	17	1	no	—
293	C₄⋊C₄	—	17	1	no	—
294	C₄⋊C₄	—	17	1	no	—
295	C₄⋊C₄	—	34	1	no	—
296	C₄⋊C₄	—	34	1	no	—
297	C₄⋊C₄	—	34	1	no	—
298	C₄⋊C₄	—	34	1	no	—
299	C₄⋊C₄	—	34	1	no	—
300	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
301	C₂²⋊C₄	—	2	1	no	—
302	C₂²⋊C₄	—	17	1	no	—
303	C₂²⋊C₄	—	17	1	no	—
304	C₂²⋊C₄	—	34	1	no	—
305	C₂²⋊C₄	—	34	1	no	—
306	C₂²⋊C₄	—	34	1	no	—
307	C₂²⋊C₄	—	34	1	no	—
308	C₄²	—	17	1	no	—
309	C₄²	—	34	1	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	4	2	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	8	1	no	—
315	C₂³	—	17	1	no	—
316	C₂³	—	34	1	no	—
317	C₂³	—	68	2	no	—
318	C₂³	—	68	2	no	—
319	C₂³	—	136	1	no	—
320	C₂³	D₄×D₁₇	1	1	yes	characteristic
321	Q₈	—	2	1	no	—
322	Q₈	—	2	1	no	—
323	Q₈	—	136	1	no	—
324	D₄	—	2	1	no	—
325	D₄	—	2	1	no	—
326	D₄	—	2	1	no	—
327	D₄	—	4	2	no	—
328	D₄	—	17	4	no	—
329	D₄	—	34	1	no	—
330	D₄	—	34	1	no	—
331	D₄	—	68	2	no	—
332	D₄	—	68	2	no	—
333	D₄	—	68	2	no	—
334	D₄	—	68	2	no	—
335	D₄	—	136	1	no	—
336	D₄	#63254	1	2	yes	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	17	1	no	—
342	C₂×C₄	—	17	1	no	—
343	C₂×C₄	—	17	1	no	—
344	C₂×C₄	—	34	1	no	—
345	C₂×C₄	—	34	1	no	—
346	C₂×C₄	—	34	1	no	—
347	C₂×C₄	—	34	1	no	—
348	C₂×C₄	—	34	1	no	—
349	C₂×C₄	—	68	2	no	—
350	C₂×C₄	—	136	1	no	—
351	C₂×C₄	—	136	1	no	—
352	C₂×C₄	D₄×D₁₇	1	1	yes	characteristic
353	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
354	C₈	—	2	1	no	—
355	C₈	—	2	1	no	—
356	C₈	—	34	1	no	—
357	C₈	—	34	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	4	1	no	—
363	C₂²	—	4	1	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	8	4	no	—
367	C₂²	—	17	2	no	—
368	C₂²	—	34	1	no	—
369	C₂²	—	34	1	no	—
370	C₂²	—	68	1	no	—
371	C₂²	—	68	1	no	—
372	C₂²	—	68	1	no	—
373	C₂²	—	136	4	no	—
374	C₂²	SD₁₆×D₁₇	1	2	yes	—
375	C₂²	C₂×D₄×D₁₇	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	4	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	17	2	no	—
380	C₄	—	34	1	no	—
381	C₄	—	34	1	no	—
382	C₄	—	68	1	no	—
383	C₄	—	68	1	no	—
384	C₄	—	68	1	no	—
385	C₄	C₂×#63254	1	1	yes	characteristic
386	C₄	#10587691	1	1	yes	characteristic
387	C₂	—	2	2	no	—
388	C₂	—	4	2	no	—
389	C₂	—	8	1	no	—
390	C₂	—	34	2	no	—
391	C₂	—	136	1	no	—
392	C₂	#11763446	1	1	yes	characteristic
393	C₂	C₂×SD₁₆×D₁₇	1	1	yes	characteristic
394	C₂	#11763613	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇
Fitting	C₁₇×#450	C₂
socle	C₂²×C₁₇	C₂²×D₄
prime radical	D₄×C₂²⋊D₁₇	C₂
hypercenter	#450	D₁₇
hypocenter	C₁₇	#3295
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #450

Complements

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

N	H ≅ G/N	type
1. #11763517	C₂	semidirect
3. #11763154	C₂	semidirect
4. #11763128	C₂	semidirect
5. #11763126	C₂	semidirect
6. #11763097	C₂	semidirect
7. #11763040	C₂	semidirect
8. #11763035	C₂	semidirect
9. #11763007	C₂	semidirect
10. #11762958	C₂	semidirect
11. SD₁₆×Dic₁₇	C₂	semidirect
12. #11762872	C₂	semidirect
13. C₂×#10587503	C₂	semidirect
14. #102×D₁₇	C₂	semidirect
15. C₁₇×#450	C₂	semidirect
20. C₂×SD₁₆×C₁₇	C₂²	semidirect
21. C₁₇×C₂²⋊Q₈	C₂²	semidirect
23. #10587632	C₂²	semidirect
24. Q₈×Dic₁₇	C₂²	semidirect
25. C₂×#63230	C₂²	semidirect
33. C₂×C₄⋊Dic₁₇	C₂²	semidirect
34. C₂²×#3622	C₂²	semidirect
35. C₂×C₈×D₁₇	C₂²	semidirect
37. C₄⋊C₄×D₁₇	C₂²	semidirect
39. #10587574	C₂²	semidirect
43. C₁₇×#102	C₂²	semidirect
44. C₁₇×C₂²⋊C₈	C₂²	semidirect
45. #10587506	C₂²	semidirect
48. #10587503	C₂²	semidirect
49. #10587503	C₂²	semidirect
50. #10587492	C₂²	semidirect
51. #10587492	C₂²	semidirect
52. #10587491	C₂²	semidirect
53. #10587488	C₂²	semidirect
54. #10587488	C₂²	semidirect
55. #10587485	C₂²	semidirect
56. C₈×Dic₁₇	C₂²	semidirect
57. #10587480	C₂²	semidirect
58. #10587479	C₂²	semidirect
141. C₂²⋊D₁₇	SD₁₆	semidirect
200. #450	D₁₇	semidirect
218. C₂×SD₁₆	C₂×D₁₇	semidirect
227. C₂²⋊Q₈	C₂×D₁₇	semidirect
252. #102	C₂×D₁₇	semidirect
254. C₂²⋊C₈	C₂×D₁₇	semidirect
256. C₁₇	#3295	semidirect

Maximal subgroups

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

subgroup	index
#11763517	2
D₄×C₂²⋊D₁₇	2
#11763154	2
#11763128	2
#11763126	2
#11763097	2
#11763040	2
#11763035	2
#11763007	2
#11762958	2
SD₁₆×Dic₁₇	2
#11762872	2
C₂×#10587503	2
#102×D₁₇	2
C₁₇×#450	2
#3295	17