Subgroups — #14540310

Order 2176.

500 conjugacy classes of subgroups.

The subgroup lattice has 418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10587635	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10587636	C₂	1	1	yes	maximal, characteristic, complemented
3	#11763455	C₂	1	1	yes	maximal, characteristic, complemented
4	#11763201	C₂	1	1	yes	maximal, characteristic, complemented
5	#11763065	C₂	1	1	yes	maximal, characteristic, complemented
6	#11763040	C₂	1	1	yes	maximal, characteristic, complemented
7	#11763024	C₂	1	1	yes	maximal, characteristic, complemented
8	#11763011	C₂	1	1	yes	maximal, characteristic, complemented
9	#11762971	C₂	1	1	yes	maximal, characteristic, complemented
10	#11762969	C₂	1	1	yes	maximal, characteristic, complemented
11	#11762959	C₂	1	1	yes	maximal, characteristic, complemented
12	#11762954	C₂	1	1	yes	maximal, characteristic, complemented
13	#11762919	C₂	1	1	yes	maximal, characteristic, complemented
14	#11762881	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#547	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₁₇	C₂²	1	1	yes	characteristic
17	C₂×#41×C₁₇	C₂²	1	1	yes	characteristic, complemented
18	C₂×#63252	C₂²	1	1	yes	characteristic
19	C₂²×D₆₈	C₂²	1	1	yes	characteristic
20	C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
21	C₁₇×#123	—	2	1	no	—
22	C₁₇×#123	—	2	1	no	—
23	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₁₇×#121	—	2	1	no	—
26	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
27	C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
29	#10587636	—	2	4	no	—
30	#10587635	—	2	4	no	—
31	C₂×#63231	C₂²	1	1	yes	characteristic, complemented
32	C₂×#63231	C₂²	1	1	yes	characteristic, complemented
33	C₂×#63230	C₂²	1	1	yes	characteristic
34	C₂×#63230	C₂²	1	1	yes	characteristic
35	C₂×#63230	C₂²	1	1	yes	characteristic
36	C₂×#63230	C₂²	1	1	yes	characteristic
37	#10587623	—	2	1	no	—
38	C₂×#63229	C₂²	1	1	yes	characteristic, complemented
39	C₂×#63228	C₂²	1	1	yes	characteristic
40	C₂×#63228	C₂²	1	1	yes	characteristic
41	#10587616	C₂²	1	1	yes	characteristic
42	#10587610	C₂²	1	1	yes	characteristic
43	C₂×#63223	C₂²	1	1	yes	characteristic
44	C₂²×#3622	C₂²	1	1	yes	characteristic, complemented
45	#10587580	—	2	1	no	—
46	#10587570	—	2	1	no	—
47	C₂²⋊C₄×D₁₇	—	2	1	no	—
48	#10587561	C₂²	1	1	yes	characteristic
49	C₄×D₆₈	C₂²	1	1	yes	characteristic
50	#10587506	C₂²	1	1	yes	characteristic, complemented
51	#10587506	C₂²	1	1	yes	characteristic, complemented
52	#10587503	C₂²	1	1	yes	characteristic, complemented
53	C₂²⋊#3622	C₂²	1	1	yes	characteristic
54	C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
55	#10587481	C₂²	1	1	yes	characteristic, complemented
56	#10587480	C₂²	1	1	yes	characteristic
57	#10587480	C₂²	1	1	yes	characteristic
58	#10587479	C₂²	1	1	yes	characteristic, complemented
59	C₄⋊#3622	C₂²	1	1	yes	characteristic, complemented
60	#10587474	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₇	—	2	1	no	—
62	#41×C₁₇	—	2	2	no	—
63	#41×C₁₇	—	2	2	no	—
64	#41×C₁₇	—	4	1	no	—
65	#41×C₁₇	—	4	1	no	—
66	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
67	C₂×Q₈×C₁₇	C₂³	1	1	yes	characteristic
68	C₂×D₄×C₁₇	—	2	1	no	—
69	C₂×D₄×C₁₇	—	2	1	no	—
70	C₂×D₄×C₁₇	D₄	1	1	yes	characteristic
71	C₂×D₄×C₁₇	C₂³	1	1	yes	characteristic
72	C₂²×C₄×C₁₇	—	2	1	no	—
73	C₂²×C₄×C₁₇	—	2	1	no	—
74	C₂²×C₄×C₁₇	—	2	1	no	—
75	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
76	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
77	C₂×C₂²⋊D₁₇	—	2	1	no	—
78	C₂×C₂²⋊D₁₇	—	2	1	no	—
79	#63252	—	2	2	no	—
80	#63252	—	4	1	no	—
81	C₂×D₆₈	—	2	2	no	—
82	C₂×D₆₈	—	2	1	no	—
83	C₂×D₆₈	—	4	1	no	—
84	C₂×D₆₈	C₂³	1	1	yes	characteristic
85	C₂×D₆₈	C₂³	1	1	yes	characteristic
86	C₂×C₄×D₁₇	—	2	1	no	—
87	C₂×C₄×D₁₇	—	2	1	no	—
88	C₂×Dic₃₄	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₁₇	—	2	1	no	—
90	C₄⋊C₄×C₁₇	—	2	1	no	—
91	C₄⋊C₄×C₁₇	—	2	1	no	—
92	C₄⋊C₄×C₁₇	—	2	1	no	—
93	C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
94	C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
95	C₂²⋊C₄×C₁₇	—	2	1	no	—
96	C₂²⋊C₄×C₁₇	—	2	1	no	—
97	C₂²⋊C₄×C₁₇	—	2	1	no	—
98	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
99	C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
100	C₄²×C₁₇	C₂³	1	1	yes	characteristic
101	C₂²⋊Dic₁₇	—	2	1	no	—
102	#63231	—	2	2	no	—
103	#63231	—	4	1	no	—
104	#63230	—	2	2	no	—
105	#63230	—	2	2	no	—
106	#63230	—	2	2	no	—
107	#63230	—	4	1	no	—
108	#63229	—	2	2	no	—
109	#63228	—	2	2	no	—
110	#63228	D₄	1	4	yes	complemented
111	#63227	—	2	1	no	—
112	#63227	—	2	1	no	—
113	#63227	—	2	1	no	—
114	#63227	—	2	1	no	—
115	C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
116	#63225	—	2	1	no	—
117	#63223	—	2	2	no	—
118	C₂×#3622	—	2	2	no	—
119	C₂×#3622	C₂³	1	1	yes	characteristic
120	C₂×#3622	C₂³	1	1	yes	characteristic
121	C₂×#3622	C₂³	1	1	yes	characteristic
122	C₂×#3622	C₂³	1	1	yes	characteristic
123	C₂³×C₁₇	—	2	1	no	—
124	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
125	C₂³×C₁₇	C₂×D₄	1	1	yes	characteristic
126	C₂²×D₁₇	—	2	1	no	—
127	C₂²×D₁₇	—	2	1	no	—
128	C₂²×D₁₇	—	4	2	no	—
129	C₂²×D₁₇	—	4	2	no	—
130	C₂²×D₁₇	—	8	1	no	—
131	Q₈×C₁₇	—	2	1	no	—
132	Q₈×C₁₇	—	2	1	no	—
133	Q₈×C₁₇	—	2	1	no	—
134	Q₈×C₁₇	—	2	1	no	—
135	D₄×C₁₇	—	2	1	no	—
136	D₄×C₁₇	—	4	1	no	—
137	D₄×C₁₇	—	4	2	no	—
138	D₄×C₁₇	—	4	2	no	—
139	D₄×C₁₇	C₂×D₄	1	2	yes	—
140	C₂×C₄×C₁₇	—	2	1	no	—
141	C₂×C₄×C₁₇	—	2	1	no	—
142	C₂×C₄×C₁₇	—	2	1	no	—
143	C₂×C₄×C₁₇	—	2	1	no	—
144	C₂×C₄×C₁₇	—	2	1	no	—
145	C₂×C₄×C₁₇	—	2	1	no	—
146	C₂×C₄×C₁₇	—	2	1	no	—
147	C₂×C₄×C₁₇	—	4	2	no	—
148	C₂×C₄×C₁₇	—	4	2	no	—
149	C₂×C₄×C₁₇	—	4	2	no	—
150	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
153	C₂×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
155	C₂²⋊D₁₇	—	4	2	no	—
156	C₂²⋊D₁₇	—	8	1	no	—
157	C₂×Dic₁₇	—	2	1	no	—
158	C₂×Dic₁₇	—	2	1	no	—
159	D₆₈	—	2	1	no	—
160	D₆₈	—	2	1	no	—
161	D₆₈	—	2	1	no	—
162	D₆₈	—	4	2	no	—
163	D₆₈	C₂×D₄	1	2	yes	—
164	C₄×D₁₇	—	4	2	no	—
165	C₄×D₁₇	—	8	1	no	—
166	Dic₃₄	—	2	1	no	—
167	Dic₃₄	—	2	1	no	—
168	#3622	—	2	1	no	—
169	#3622	—	2	1	no	—
170	#3622	—	2	1	no	—
171	#3622	C₂×D₄	1	2	yes	—
172	#3267	—	17	1	no	maximal, Sylow
173	C₂²×C₁₇	—	2	1	no	—
174	C₂²×C₁₇	—	2	1	no	—
175	C₂²×C₁₇	—	2	2	no	—
176	C₂²×C₁₇	—	2	1	no	—
177	C₂²×C₁₇	—	2	1	no	—
178	C₂²×C₁₇	—	2	1	no	—
179	C₂²×C₁₇	—	2	1	no	—
180	C₂²×C₁₇	—	4	1	no	—
181	C₂²×C₁₇	—	4	1	no	—
182	C₂²×C₁₇	C₂²×D₄	1	1	yes	characteristic
183	C₂×D₁₇	—	2	2	no	—
184	C₂×D₁₇	—	4	1	no	—
185	C₂×D₁₇	—	4	1	no	—
186	C₂×D₁₇	—	4	1	no	—
187	C₂×D₁₇	—	4	1	no	—
188	C₂×D₁₇	—	4	1	no	—
189	C₂×D₁₇	—	8	4	no	—
190	C₄×C₁₇	—	2	1	no	—
191	C₄×C₁₇	—	2	1	no	—
192	C₄×C₁₇	—	2	1	no	—
193	C₄×C₁₇	—	2	1	no	—
194	C₄×C₁₇	—	4	1	no	—
195	C₄×C₁₇	—	4	1	no	—
196	C₄×C₁₇	—	4	1	no	—
197	C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
198	C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
199	Dic₁₇	—	4	1	no	—
200	Dic₁₇	—	4	1	no	—
201	C₂×AGL(1,ℤ/8)	—	17	1	no	—
202	C₂×#135	—	17	1	no	—
203	#547	D₁₇	1	1	yes	characteristic, complemented
204	#546	—	17	1	no	—
205	#497	—	17	1	no	—
206	#470	—	17	1	no	—
207	#465	—	17	1	no	—
208	#463	—	17	1	no	—
209	#461	—	17	1	no	—
210	#452	—	17	1	no	—
211	#452	—	17	1	no	—
212	#450	—	17	1	no	—
213	#449	—	17	1	no	—
214	#442	—	17	1	no	—
215	#435	—	17	1	no	—
216	C₂×C₁₇	—	4	1	no	—
217	C₂×C₁₇	—	4	1	no	—
218	C₂×C₁₇	—	4	2	no	—
219	C₂×C₁₇	D₄²	1	1	yes	characteristic
220	C₂×C₁₇	#575	1	1	yes	characteristic
221	C₂×C₁₇	#577	1	1	yes	characteristic
222	D₁₇	—	4	2	no	—
223	D₁₇	—	8	1	no	—
224	C₂×#41	—	17	1	no	—
225	C₂×#41	C₂×D₁₇	1	1	yes	characteristic
226	C₂×#41	C₂×D₁₇	1	1	yes	characteristic, complemented
227	C₂²×D₄	—	17	1	no	—
228	AGL(1,ℤ/8)	—	34	4	no	—
229	#135	—	34	4	no	—
230	C₂×Q₁₆	—	17	1	no	—
231	C₂×Q₁₆	—	17	1	no	—
232	C₂×SD₁₆	—	17	1	no	—
233	C₂×SD₁₆	—	17	1	no	—
234	C₂×SD₁₆	—	17	1	no	—
235	C₂×SD₁₆	—	17	1	no	—
236	C₂×SD₁₆	—	17	1	no	—
237	C₂×D₈	—	17	1	no	—
238	C₂×D₈	—	17	1	no	—
239	C₂×M₁₆	—	17	1	no	—
240	C₂²×C₈	—	17	1	no	—
241	C₄⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
242	#124	—	17	1	no	—
243	#123	—	2	1	no	—
244	#123	—	2	1	no	—
245	#123	—	34	1	no	—
246	C₂²⋊Q₈	—	17	1	no	—
247	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
248	C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic, complemented
249	#121	—	2	1	no	—
250	#121	—	17	1	no	—
251	#121	—	34	1	no	—
252	#120	—	34	1	no	—
253	C₄×D₄	—	17	1	no	—
254	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
255	C₄×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₂²⋊C₄	—	34	1	no	—
258	#106	—	17	1	no	—
259	C₄⋊C₈	—	17	1	no	—
260	#103	—	17	1	no	—
261	#103	—	17	1	no	—
262	#103	—	17	1	no	—
263	#102	—	17	1	no	—
264	#102	—	17	1	no	—
265	#102	—	17	1	no	—
266	C₂²⋊C₈	—	17	1	no	—
267	C₂²⋊C₈	—	17	1	no	—
268	#97	—	17	1	no	—
269	C₁₇	#3267	1	1	yes	characteristic, complemented, Sylow
270	C₂⁴	—	34	1	no	—
271	#41	—	2	2	no	—
272	#41	—	2	2	no	—
273	#41	—	4	1	no	—
274	#41	—	4	1	no	—
275	#41	—	34	2	no	—
276	#41	—	68	1	no	—
277	C₂×Q₈	—	17	1	no	—
278	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
279	C₂×Q₈	C₂²×D₁₇	1	1	yes	characteristic
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	17	1	no	—
283	C₂×D₄	—	17	1	no	—
284	C₂×D₄	—	34	2	no	—
285	C₂×D₄	—	34	1	no	—
286	C₂×D₄	—	34	1	no	—
287	C₂×D₄	—	34	1	no	—
288	C₂×D₄	—	68	1	no	—
289	C₂×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
290	C₂×D₄	C₂²×D₁₇	1	1	yes	characteristic
291	C₂²×C₄	—	2	1	no	—
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	2	1	no	—
294	C₂²×C₄	—	34	1	no	—
295	C₂²×C₄	—	34	1	no	—
296	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
297	C₂²×C₄	C₂²×D₁₇	1	1	yes	characteristic
298	Q₁₆	—	34	2	no	—
299	Q₁₆	—	68	1	no	—
300	SD₁₆	—	34	2	no	—
301	SD₁₆	—	34	2	no	—
302	SD₁₆	—	34	2	no	—
303	SD₁₆	—	34	2	no	—
304	SD₁₆	—	68	1	no	—
305	D₈	—	17	4	no	—
306	D₈	—	34	2	no	—
307	M₁₆	—	34	2	no	—
308	C₂×C₈	—	17	1	no	—
309	C₂×C₈	—	17	1	no	—
310	C₂×C₈	—	17	1	no	—
311	C₂×C₈	—	17	1	no	—
312	C₂×C₈	—	34	2	no	—
313	C₄⋊C₄	—	2	1	no	—
314	C₄⋊C₄	—	2	1	no	—
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	17	1	no	—
318	C₄⋊C₄	—	34	1	no	—
319	C₄⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
320	C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
321	C₂²⋊C₄	—	2	1	no	—
322	C₂²⋊C₄	—	2	1	no	—
323	C₂²⋊C₄	—	2	1	no	—
324	C₂²⋊C₄	—	34	1	no	—
325	C₂²⋊C₄	—	34	1	no	—
326	C₂²⋊C₄	—	34	1	no	—
327	C₂²⋊C₄	—	34	1	no	—
328	C₂²⋊C₄	—	34	1	no	—
329	C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
330	C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
331	C₄²	C₂²×D₁₇	1	1	yes	characteristic
332	C₂³	—	2	1	no	—
333	C₂³	—	34	1	no	—
334	C₂³	—	34	1	no	—
335	C₂³	—	68	2	no	—
336	C₂³	—	68	2	no	—
337	C₂³	—	136	1	no	—
338	C₂³	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
339	C₂³	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
340	Q₈	—	2	1	no	—
341	Q₈	—	2	1	no	—
342	Q₈	—	2	1	no	—
343	Q₈	—	2	1	no	—
344	Q₈	—	34	1	no	—
345	Q₈	—	34	1	no	—
346	D₄	—	2	1	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	2	no	—
349	D₄	—	4	2	no	—
350	D₄	—	17	2	no	—
351	D₄	—	34	1	no	—
352	D₄	—	34	1	no	—
353	D₄	—	34	1	no	—
354	D₄	—	68	2	no	—
355	D₄	—	68	2	no	—
356	D₄	—	136	1	no	—
357	D₄	D₄×D₁₇	1	2	yes	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	2	1	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	4	2	no	—
367	C₂×C₄	—	4	2	no	—
368	C₂×C₄	—	34	1	no	—
369	C₂×C₄	—	34	1	no	—
370	C₂×C₄	—	68	2	no	—
371	C₂×C₄	—	136	1	no	—
372	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
373	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
374	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
375	C₂×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
376	C₂×C₄	C₂³×D₁₇	1	1	yes	characteristic
377	C₈	—	17	2	no	—
378	C₈	—	34	1	no	—
379	C₈	—	34	1	no	—
380	C₈	—	34	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	2	1	no	—
387	C₂²	—	2	2	no	—
388	C₂²	—	4	1	no	—
389	C₂²	—	4	1	no	—
390	C₂²	—	34	2	no	—
391	C₂²	—	68	1	no	—
392	C₂²	—	68	1	no	—
393	C₂²	—	68	1	no	—
394	C₂²	—	68	1	no	—
395	C₂²	—	68	1	no	—
396	C₂²	—	136	4	no	—
397	C₂²	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	4	1	no	—
403	C₄	—	4	1	no	—
404	C₄	—	4	1	no	—
405	C₄	—	68	1	no	—
406	C₄	—	68	1	no	—
407	C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
408	C₄	#10587691	1	1	yes	characteristic
409	C₂	—	4	1	no	—
410	C₂	—	4	1	no	—
411	C₂	—	4	2	no	—
412	C₂	—	68	2	no	—
413	C₂	—	136	1	no	—
414	C₂	D₄×C₂²⋊D₁₇	1	1	yes	characteristic
415	C₂	#11763607	1	1	yes	characteristic
416	C₂	#11763617	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₇
Fitting	C₁₇×#547	C₂
socle	C₂²×C₁₇	C₂²×D₄
hypercenter	#547	D₁₇
hypocenter	C₁₇	#3267
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #547

Complements

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

N	H ≅ G/N	type
1. C₂×#10587635	C₂	semidirect
2. C₂×#10587636	C₂	semidirect
3. #11763455	C₂	semidirect
4. #11763201	C₂	semidirect
5. #11763065	C₂	semidirect
6. #11763040	C₂	semidirect
7. #11763024	C₂	semidirect
8. #11763011	C₂	semidirect
9. #11762971	C₂	semidirect
10. #11762969	C₂	semidirect
11. #11762959	C₂	semidirect
12. #11762954	C₂	semidirect
13. #11762919	C₂	semidirect
14. #11762881	C₂	semidirect
15. C₁₇×#547	C₂	semidirect
17. C₂×#41×C₁₇	C₂²	semidirect
20. C₁₇×C₄⋊Q₈	C₂²	semidirect
24. C₁₇×C₂²⋊Q₈	C₂²	semidirect
27. C₄×D₄×C₁₇	C₂²	semidirect
31. C₂×#63231	C₂²	semidirect
32. C₂×#63231	C₂²	semidirect
38. C₂×#63229	C₂²	semidirect
44. C₂²×#3622	C₂²	semidirect
50. #10587506	C₂²	semidirect
51. #10587506	C₂²	semidirect
52. #10587503	C₂²	semidirect
54. C₂²⋊#3622	C₂²	semidirect
55. #10587481	C₂²	semidirect
58. #10587479	C₂²	semidirect
59. C₄⋊#3622	C₂²	semidirect
60. #10587474	C₂²	semidirect
110. #63228	D₄	semidirect
203. #547	D₁₇	semidirect
226. C₂×#41	C₂×D₁₇	semidirect
241. C₄⋊Q₈	C₂×D₁₇	semidirect
248. C₂²⋊Q₈	C₂×D₁₇	semidirect
255. C₄×D₄	C₂×D₁₇	semidirect
269. C₁₇	#3267	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10587635	2
C₂×#10587636	2
#11763455	2
#11763201	2
#11763065	2
#11763040	2
#11763024	2
#11763011	2
#11762971	2
#11762969	2
#11762959	2
#11762954	2
#11762919	2
#11762881	2
C₁₇×#547	2
#3267	17