Subgroups — C₁₇×#2527 #14525533

Order 2176.

420 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#401	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₇×#400	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₇×#397	C₂	1	1	yes	maximal, characteristic
4	C₁₇×#393	C₂	1	1	yes	maximal, characteristic
5	C₁₇×#391	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#391	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#388	C₂	1	1	yes	maximal, characteristic
8	C₁₇×#388	C₂	1	1	yes	maximal, characteristic
9	C₁₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#387	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#385	C₂	1	1	yes	maximal, characteristic
13	C₁₇×#381	C₂	1	1	yes	maximal, characteristic
14	C₄×C₂²⋊C₄×C₁₇	C₂	1	1	yes	maximal, characteristic
15	C₁₇×#376	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Q₈×C₁₇	C₂²	1	1	yes	characteristic
17	C₂³×C₄×C₁₇	C₂²	1	1	yes	characteristic
18	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
23	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
24	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
25	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
27	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
29	C₂×C₄²×C₁₇	C₂²	1	1	yes	characteristic
30	C₂×C₄²×C₁₇	C₂²	1	1	yes	characteristic
31	C₂×C₄²×C₁₇	C₂²	1	1	yes	characteristic
32	C₂×C₄²×C₁₇	C₂²	1	1	yes	characteristic
33	C₁₇×#95	C₂²	1	1	yes	characteristic
34	C₁₇×#95	C₂²	1	1	yes	characteristic
35	C₁₇×#95	C₂²	1	1	yes	characteristic
36	C₁₇×#95	C₂²	1	1	yes	characteristic
37	C₁₇×#95	C₂²	1	1	yes	characteristic
38	C₁₇×#95	C₂²	1	1	yes	characteristic
39	C₁₇×#95	C₂²	1	1	yes	characteristic
40	C₁₇×#95	C₂²	1	1	yes	characteristic
41	C₁₇×#95	C₂²	1	1	yes	characteristic
42	C₁₇×#95	C₂²	1	1	yes	characteristic
43	C₁₇×#95	C₂²	1	1	yes	characteristic
44	C₁₇×#95	C₂²	1	1	yes	characteristic
45	C₁₇×#95	C₂²	1	1	yes	characteristic
46	C₁₇×#95	C₂²	1	1	yes	characteristic
47	C₁₇×#95	C₂²	1	1	yes	characteristic
48	C₁₇×#95	C₂²	1	1	yes	characteristic
49	C₁₇×#95	C₂²	1	1	yes	characteristic
50	C₁₇×#95	C₂²	1	1	yes	characteristic
51	C₂⁴×C₁₇	C₂³	1	1	yes	characteristic
52	C₂×Q₈×C₁₇	—	2	2	no	—
53	C₂×Q₈×C₁₇	—	2	2	no	—
54	C₂×Q₈×C₁₇	—	4	1	no	—
55	C₂²×C₄×C₁₇	—	2	2	no	—
56	C₂²×C₄×C₁₇	—	2	2	no	—
57	C₂²×C₄×C₁₇	—	4	1	no	—
58	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
59	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
60	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
61	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
70	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
71	C₂²×C₄×C₁₇	C₂³	1	1	yes	characteristic
72	C₄⋊C₄×C₁₇	—	2	2	no	—
73	C₄⋊C₄×C₁₇	—	2	2	no	—
74	C₄⋊C₄×C₁₇	—	2	2	no	—
75	C₄⋊C₄×C₁₇	—	4	1	no	—
76	C₄⋊C₄×C₁₇	—	4	1	no	—
77	C₂²⋊C₄×C₁₇	—	2	2	no	—
78	C₂²⋊C₄×C₁₇	—	2	2	no	—
79	C₂²⋊C₄×C₁₇	—	2	2	no	—
80	C₂²⋊C₄×C₁₇	—	2	2	no	—
81	C₂²⋊C₄×C₁₇	—	2	2	no	—
82	C₂²⋊C₄×C₁₇	—	4	1	no	—
83	C₄²×C₁₇	—	2	2	no	—
84	C₄²×C₁₇	—	2	2	no	—
85	C₄²×C₁₇	—	2	2	no	—
86	C₄²×C₁₇	—	4	1	no	—
87	C₂³×C₁₇	—	2	1	no	—
88	C₂³×C₁₇	—	2	1	no	—
89	C₂³×C₁₇	—	2	1	no	—
90	C₂³×C₁₇	—	2	1	no	—
91	C₂³×C₁₇	—	2	1	no	—
92	C₂³×C₁₇	—	2	1	no	—
93	C₂³×C₁₇	#41	1	2	yes	—
94	C₂³×C₁₇	C₂⁴	1	1	yes	characteristic
95	Q₈×C₁₇	—	4	4	no	—
96	C₂×C₄×C₁₇	—	2	1	no	—
97	C₂×C₄×C₁₇	—	2	1	no	—
98	C₂×C₄×C₁₇	—	2	1	no	—
99	C₂×C₄×C₁₇	—	2	1	no	—
100	C₂×C₄×C₁₇	—	2	1	no	—
101	C₂×C₄×C₁₇	—	2	1	no	—
102	C₂×C₄×C₁₇	—	2	1	no	—
103	C₂×C₄×C₁₇	—	2	1	no	—
104	C₂×C₄×C₁₇	—	2	1	no	—
105	C₂×C₄×C₁₇	—	2	1	no	—
106	C₂×C₄×C₁₇	—	2	1	no	—
107	C₂×C₄×C₁₇	—	2	1	no	—
108	C₂×C₄×C₁₇	—	2	1	no	—
109	C₂×C₄×C₁₇	—	2	1	no	—
110	C₂×C₄×C₁₇	—	2	1	no	—
111	C₂×C₄×C₁₇	—	2	1	no	—
112	C₂×C₄×C₁₇	—	2	1	no	—
113	C₂×C₄×C₁₇	—	2	1	no	—
114	C₂×C₄×C₁₇	—	2	1	no	—
115	C₂×C₄×C₁₇	—	2	1	no	—
116	C₂×C₄×C₁₇	—	2	1	no	—
117	C₂×C₄×C₁₇	—	2	1	no	—
118	C₂×C₄×C₁₇	—	2	1	no	—
119	C₂×C₄×C₁₇	—	2	1	no	—
120	C₂×C₄×C₁₇	—	2	1	no	—
121	C₂×C₄×C₁₇	—	2	1	no	—
122	C₂×C₄×C₁₇	—	2	1	no	—
123	C₂×C₄×C₁₇	—	2	1	no	—
124	C₂×C₄×C₁₇	—	2	1	no	—
125	C₂×C₄×C₁₇	—	2	1	no	—
126	C₂×C₄×C₁₇	—	2	1	no	—
127	C₂×C₄×C₁₇	—	2	1	no	—
128	C₂×C₄×C₁₇	—	2	1	no	—
129	C₂×C₄×C₁₇	—	2	1	no	—
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	—	4	4	no	—
135	C₂×C₄×C₁₇	#41	1	2	yes	—
136	C₂×C₄×C₁₇	#41	1	2	yes	—
137	C₂×C₄×C₁₇	#41	1	2	yes	—
138	C₂×C₄×C₁₇	#41	1	2	yes	—
139	#2527	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂²×C₁₇	—	2	2	no	—
141	C₂²×C₁₇	—	2	2	no	—
142	C₂²×C₁₇	—	2	2	no	—
143	C₂²×C₁₇	—	4	1	no	—
144	C₂²×C₁₇	—	4	1	no	—
145	C₂²×C₁₇	—	4	1	no	—
146	C₂²×C₁₇	—	4	1	no	—
147	C₂²×C₁₇	C₂×#41	1	1	yes	characteristic
148	C₂²×C₁₇	C₂×#41	1	1	yes	characteristic
149	C₂²×C₁₇	C₂×#41	1	1	yes	characteristic
150	C₂²×C₁₇	C₂×#41	1	1	yes	characteristic
151	C₂²×C₁₇	C₂×#41	1	1	yes	characteristic
152	C₂²×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
153	C₂²×C₁₇	2₋¹⁺⁴	1	1	yes	characteristic
154	C₄×C₁₇	—	2	2	no	—
155	C₄×C₁₇	—	2	2	no	—
156	C₄×C₁₇	—	2	2	no	—
157	C₄×C₁₇	—	2	2	no	—
158	C₄×C₁₇	—	4	1	no	—
159	C₄×C₁₇	—	4	1	no	—
160	C₄×C₁₇	—	4	1	no	—
161	C₄×C₁₇	—	4	1	no	—
162	C₄×C₁₇	—	4	1	no	—
163	C₄×C₁₇	—	4	1	no	—
164	C₄×C₁₇	—	4	1	no	—
165	C₄×C₁₇	—	4	1	no	—
166	C₄×C₁₇	—	4	1	no	—
167	C₄×C₁₇	—	4	1	no	—
168	#401	C₂×C₁₇	1	1	yes	characteristic, complemented
169	#400	C₂×C₁₇	1	1	yes	characteristic, complemented
170	#397	C₂×C₁₇	1	1	yes	characteristic
171	#393	C₂×C₁₇	1	1	yes	characteristic
172	#391	C₂×C₁₇	1	1	yes	characteristic, complemented
173	#391	C₂×C₁₇	1	1	yes	characteristic, complemented
174	#388	C₂×C₁₇	1	1	yes	characteristic
175	#388	C₂×C₁₇	1	1	yes	characteristic
176	#387	C₂×C₁₇	1	1	yes	characteristic, complemented
177	#387	C₂×C₁₇	1	1	yes	characteristic, complemented
178	#387	C₂×C₁₇	1	1	yes	characteristic, complemented
179	#385	C₂×C₁₇	1	1	yes	characteristic
180	#381	C₂×C₁₇	1	1	yes	characteristic
181	C₄×C₂²⋊C₄	C₂×C₁₇	1	1	yes	characteristic
182	#376	C₂×C₁₇	1	1	yes	characteristic, complemented
183	C₂×C₁₇	—	4	2	no	—
184	C₂×C₁₇	#529	1	1	yes	characteristic
185	C₂×C₁₇	#529	1	1	yes	characteristic
186	C₂×C₁₇	#542	1	1	yes	characteristic
187	C₂×C₁₇	#551	1	1	yes	characteristic
188	C₂×C₁₇	#551	1	1	yes	characteristic
189	C₂×C₁₇	#552	1	1	yes	characteristic
190	C₂×C₁₇	#556	1	1	yes	characteristic
191	C₂²×Q₈	C₂²×C₁₇	1	1	yes	characteristic
192	C₂³×C₄	C₂²×C₁₇	1	1	yes	characteristic
193	C₂×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
194	C₂×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
195	C₂×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
196	C₂×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
197	C₂×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
198	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
199	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
200	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
201	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
202	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
203	C₂×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
204	C₂×C₄²	C₂²×C₁₇	1	1	yes	characteristic
205	C₂×C₄²	C₂²×C₁₇	1	1	yes	characteristic
206	C₂×C₄²	C₂²×C₁₇	1	1	yes	characteristic
207	C₂×C₄²	C₂²×C₁₇	1	1	yes	characteristic
208	#95	C₂²×C₁₇	1	1	yes	characteristic
209	#95	C₂²×C₁₇	1	1	yes	characteristic
210	#95	C₂²×C₁₇	1	1	yes	characteristic
211	#95	C₂²×C₁₇	1	1	yes	characteristic
212	#95	C₂²×C₁₇	1	1	yes	characteristic
213	#95	C₂²×C₁₇	1	1	yes	characteristic
214	#95	C₂²×C₁₇	1	1	yes	characteristic
215	#95	C₂²×C₁₇	1	1	yes	characteristic
216	#95	C₂²×C₁₇	1	1	yes	characteristic
217	#95	C₂²×C₁₇	1	1	yes	characteristic
218	#95	C₂²×C₁₇	1	1	yes	characteristic
219	#95	C₂²×C₁₇	1	1	yes	characteristic
220	#95	C₂²×C₁₇	1	1	yes	characteristic
221	#95	C₂²×C₁₇	1	1	yes	characteristic
222	#95	C₂²×C₁₇	1	1	yes	characteristic
223	#95	C₂²×C₁₇	1	1	yes	characteristic
224	#95	C₂²×C₁₇	1	1	yes	characteristic
225	#95	C₂²×C₁₇	1	1	yes	characteristic
226	C₁₇	#2527	1	1	yes	characteristic, direct product factor, Sylow
227	C₂⁴	C₂³×C₁₇	1	1	yes	characteristic
228	C₂×Q₈	—	2	2	no	—
229	C₂×Q₈	—	2	2	no	—
230	C₂×Q₈	—	4	1	no	—
231	C₂²×C₄	—	2	2	no	—
232	C₂²×C₄	—	2	2	no	—
233	C₂²×C₄	—	4	1	no	—
234	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
235	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
236	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
237	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
238	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
239	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
240	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
241	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
242	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
243	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
244	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
245	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
246	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
247	C₂²×C₄	C₂³×C₁₇	1	1	yes	characteristic
248	C₄⋊C₄	—	2	2	no	—
249	C₄⋊C₄	—	2	2	no	—
250	C₄⋊C₄	—	2	2	no	—
251	C₄⋊C₄	—	4	1	no	—
252	C₄⋊C₄	—	4	1	no	—
253	C₂²⋊C₄	—	2	2	no	—
254	C₂²⋊C₄	—	2	2	no	—
255	C₂²⋊C₄	—	2	2	no	—
256	C₂²⋊C₄	—	2	2	no	—
257	C₂²⋊C₄	—	2	2	no	—
258	C₂²⋊C₄	—	4	1	no	—
259	C₄²	—	2	2	no	—
260	C₄²	—	2	2	no	—
261	C₄²	—	2	2	no	—
262	C₄²	—	4	1	no	—
263	C₂³	—	2	1	no	—
264	C₂³	—	2	1	no	—
265	C₂³	—	2	1	no	—
266	C₂³	—	2	1	no	—
267	C₂³	—	2	1	no	—
268	C₂³	—	2	1	no	—
269	C₂³	#41×C₁₇	1	2	yes	—
270	C₂³	C₂⁴×C₁₇	1	1	yes	characteristic
271	Q₈	—	4	4	no	—
272	C₂×C₄	—	2	1	no	—
273	C₂×C₄	—	2	1	no	—
274	C₂×C₄	—	2	1	no	—
275	C₂×C₄	—	2	1	no	—
276	C₂×C₄	—	2	1	no	—
277	C₂×C₄	—	2	1	no	—
278	C₂×C₄	—	2	1	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	2	1	no	—
282	C₂×C₄	—	2	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	1	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	#41×C₁₇	1	2	yes	—
312	C₂×C₄	#41×C₁₇	1	2	yes	—
313	C₂×C₄	#41×C₁₇	1	2	yes	—
314	C₂×C₄	#41×C₁₇	1	2	yes	—
315	C₂²	—	2	2	no	—
316	C₂²	—	2	2	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	4	1	no	—
319	C₂²	—	4	1	no	—
320	C₂²	—	4	1	no	—
321	C₂²	—	4	1	no	—
322	C₂²	C₂×#41×C₁₇	1	1	yes	characteristic
323	C₂²	C₂×#41×C₁₇	1	1	yes	characteristic
324	C₂²	C₂×#41×C₁₇	1	1	yes	characteristic
325	C₂²	C₂×#41×C₁₇	1	1	yes	characteristic
326	C₂²	C₂×#41×C₁₇	1	1	yes	characteristic
327	C₂²	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
328	C₂²	C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
329	C₄	—	2	2	no	—
330	C₄	—	2	2	no	—
331	C₄	—	2	2	no	—
332	C₄	—	2	2	no	—
333	C₄	—	4	1	no	—
334	C₄	—	4	1	no	—
335	C₄	—	4	1	no	—
336	C₄	—	4	1	no	—
337	C₄	—	4	1	no	—
338	C₄	—	4	1	no	—
339	C₄	—	4	1	no	—
340	C₄	—	4	1	no	—
341	C₄	—	4	1	no	—
342	C₄	—	4	1	no	—
343	C₂	—	4	2	no	—
344	C₂	C₁₇×#529	1	1	yes	characteristic
345	C₂	C₁₇×#529	1	1	yes	characteristic
346	C₂	C₁₇×#542	1	1	yes	characteristic
347	C₂	C₁₇×#551	1	1	yes	characteristic
348	C₂	C₁₇×#551	1	1	yes	characteristic
349	C₂	C₁₇×#552	1	1	yes	characteristic
350	C₂	C₁₇×#556	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁴×C₁₇
prime radical	C₂⁴×C₁₇	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₇×#401	C₂	semidirect
2. C₁₇×#400	C₂	semidirect
5. C₁₇×#391	C₂	semidirect
6. C₁₇×#391	C₂	semidirect
9. C₁₇×#387	C₂	semidirect
10. C₁₇×#387	C₂	semidirect
11. C₁₇×#387	C₂	semidirect
15. C₁₇×#376	C₂	semidirect
139. #2527	C₁₇	direct (N × H)
168. #401	C₂×C₁₇	semidirect
169. #400	C₂×C₁₇	semidirect
172. #391	C₂×C₁₇	semidirect
173. #391	C₂×C₁₇	semidirect
176. #387	C₂×C₁₇	semidirect
177. #387	C₂×C₁₇	semidirect
178. #387	C₂×C₁₇	semidirect
182. #376	C₂×C₁₇	semidirect
226. C₁₇	#2527	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₇×#401	2
C₁₇×#400	2
C₁₇×#397	2
C₁₇×#393	2
C₁₇×#391	2
C₁₇×#388	2
C₁₇×#387	2
C₁₇×#385	2
C₁₇×#381	2
C₄×C₂²⋊C₄×C₁₇	2
C₁₇×#376	2
#2527	17

Subgroups — C17×#2527 #14525533

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#2527 #14525533