Subgroups — C₁₇×#25409 #16883153

Order 4352.

894 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×#3153	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₇×#473	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₇×#471	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#3037	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₇×#464	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2935	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#2052	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#2051	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#2020	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#2019	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#1967	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#1950	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#1908	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#1907	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₁₇×#101	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₇×#137	C₂²	1	1	yes	characteristic
17	C₂×C₁₇×#137	C₂²	1	1	yes	characteristic
18	C₂×C₁₇×#137	C₂²	1	1	yes	characteristic
19	C₂×C₁₇×#137	C₂²	1	1	yes	characteristic
20	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
21	C₂×C₁₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
22	C₂²×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic
23	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
24	C₂×C₁₇×#131	C₂²	1	1	yes	characteristic
25	C₂×C₁₇×#131	C₂²	1	1	yes	characteristic
26	C₁₇×#532	C₂²	1	1	yes	characteristic
27	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
29	C₁₇×#497	—	2	1	no	—
30	C₁₇×#496	—	2	1	no	—
31	C₁₇×#495	—	2	1	no	—
32	C₁₇×#495	—	2	1	no	—
33	C₁₇×#473	—	2	4	no	—
34	C₁₇×#471	—	2	4	no	—
35	C₁₇×#464	—	2	1	no	—
36	C₁₇×#464	—	2	1	no	—
37	C₁₇×#464	—	2	1	no	—
38	C₁₇×#464	—	2	1	no	—
39	C₁₇×#464	—	2	1	no	—
40	C₁₇×#464	—	2	1	no	—
41	C₁₇×#462	—	2	1	no	—
42	C₁₇×#460	—	2	1	no	—
43	C₁₇×#436	—	2	1	no	—
44	C₁₇×#435	—	2	1	no	—
45	C₁₇×#435	—	2	1	no	—
46	C₈×D₄×C₁₇	—	2	1	no	—
47	C₂×C₁₇×#108	C₂²	1	1	yes	characteristic
48	C₂×C₁₇×#108	C₂²	1	1	yes	characteristic
49	C₁₇×#423	C₂²	1	1	yes	characteristic
50	C₂×C₁₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
51	C₁₇×#417	C₂²	1	1	yes	characteristic
52	C₁₇×#417	C₂²	1	1	yes	characteristic
53	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
54	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
55	C₂×C₁₇×#101	C₂²	1	1	yes	characteristic
56	C₂×C₁₇×#101	C₂²	1	1	yes	characteristic
57	C₂×C₁₇×#101	C₂²	1	1	yes	characteristic
58	C₂×C₁₇×#101	C₂²	1	1	yes	characteristic
59	C₂×C₁₇×#100	C₂²	1	1	yes	characteristic
60	C₂×C₁₇×#100	C₂²	1	1	yes	characteristic
61	C₁₇×#408	C₂²	1	1	yes	characteristic
62	C₁₇×#408	C₂²	1	1	yes	characteristic
63	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
64	C₄×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
65	C₁₇×#343	C₂²	1	1	yes	characteristic
66	C₁₇×#343	C₂²	1	1	yes	characteristic
67	C₁₇×#341	C₂²	1	1	yes	characteristic
68	C₁₇×#341	C₂²	1	1	yes	characteristic
69	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
70	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
72	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
74	C₁₇×#137	—	2	2	no	—
75	C₁₇×#137	—	2	2	no	—
76	C₁₇×#137	—	2	2	no	—
77	C₁₇×#137	—	2	2	no	—
78	C₁₇×#137	—	4	1	no	—
79	C₁₇×#137	—	4	1	no	—
80	C₁₇×#137	—	4	1	no	—
81	C₁₇×#137	—	4	1	no	—
82	C₁₇×AGL(1,ℤ/8)	—	2	2	no	—
83	C₁₇×AGL(1,ℤ/8)	—	2	2	no	—
84	C₁₇×AGL(1,ℤ/8)	—	4	1	no	—
85	C₁₇×AGL(1,ℤ/8)	—	4	1	no	—
86	C₂×Q₁₆×C₁₇	—	2	1	no	—
87	C₂×Q₁₆×C₁₇	—	2	1	no	—
88	C₂×Q₁₆×C₁₇	—	2	2	no	—
89	C₂×Q₁₆×C₁₇	—	2	1	no	—
90	C₂×Q₁₆×C₁₇	—	2	1	no	—
91	C₂×Q₁₆×C₁₇	—	2	1	no	—
92	C₂×Q₁₆×C₁₇	—	2	1	no	—
93	C₂×Q₁₆×C₁₇	—	4	1	no	—
94	C₂×SD₁₆×C₁₇	—	2	1	no	—
95	C₂×SD₁₆×C₁₇	—	2	1	no	—
96	C₂×SD₁₆×C₁₇	—	2	2	no	—
97	C₂×SD₁₆×C₁₇	—	2	1	no	—
98	C₂×SD₁₆×C₁₇	—	2	1	no	—
99	C₂×SD₁₆×C₁₇	—	2	1	no	—
100	C₂×SD₁₆×C₁₇	—	2	1	no	—
101	C₂×SD₁₆×C₁₇	—	2	1	no	—
102	C₂×SD₁₆×C₁₇	—	2	1	no	—
103	C₂×SD₁₆×C₁₇	—	4	1	no	—
104	C₂×D₈×C₁₇	—	2	1	no	—
105	C₂×D₈×C₁₇	—	2	1	no	—
106	C₁₇×#131	—	2	2	no	—
107	C₁₇×#131	—	2	2	no	—
108	C₁₇×#131	—	4	1	no	—
109	C₁₇×#131	—	4	1	no	—
110	C₂×M₁₆×C₁₇	—	2	1	no	—
111	C₂×M₁₆×C₁₇	—	2	1	no	—
112	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
113	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
114	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
115	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
116	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
117	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
118	C₂²×C₈×C₁₇	—	2	1	no	—
119	C₂²×C₈×C₁₇	—	2	1	no	—
120	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
121	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
122	C₁₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
123	C₁₇×#127	D₄	1	1	yes	characteristic
124	C₁₇×#124	—	2	1	no	—
125	C₁₇×#124	—	2	1	no	—
126	C₁₇×#124	—	2	1	no	—
127	C₁₇×#124	—	2	1	no	—
128	C₁₇×#124	D₄	1	1	yes	characteristic
129	C₁₇×#124	D₄	1	1	yes	characteristic
130	C₁₇×#121	—	2	1	no	—
131	C₁₇×#121	—	2	1	no	—
132	C₄×Q₈×C₁₇	—	2	1	no	—
133	C₄×Q₈×C₁₇	—	2	1	no	—
134	C₄×Q₈×C₁₇	—	2	1	no	—
135	C₄×Q₈×C₁₇	—	2	1	no	—
136	C₄×D₄×C₁₇	—	2	1	no	—
137	C₄×D₄×C₁₇	—	2	1	no	—
138	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
139	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
140	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
141	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
142	C₂×C₄²×C₁₇	—	2	1	no	—
143	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
144	C₁₇×#108	—	2	2	no	—
145	C₁₇×#108	—	2	2	no	—
146	C₁₇×C₄⋊C₈	—	2	1	no	—
147	C₁₇×C₄⋊C₈	—	2	1	no	—
148	C₁₇×C₄⋊C₈	D₄	1	1	yes	characteristic
149	C₁₇×C₄⋊C₈	D₄	1	1	yes	characteristic
150	C₁₇×C₄⋊C₈	D₄	1	1	yes	characteristic
151	C₁₇×C₄⋊C₈	D₄	1	1	yes	characteristic
152	C₁₇×#103	—	2	1	no	—
153	C₁₇×#103	—	2	1	no	—
154	C₁₇×#103	—	2	1	no	—
155	C₁₇×#103	—	2	1	no	—
156	C₁₇×#102	—	2	1	no	—
157	C₁₇×#102	—	2	1	no	—
158	C₁₇×#102	—	2	1	no	—
159	C₁₇×#102	—	2	1	no	—
160	C₁₇×#101	—	2	2	no	—
161	C₁₇×#101	—	2	2	no	—
162	C₁₇×#101	—	4	1	no	—
163	C₁₇×#101	D₄	1	4	yes	complemented
164	C₁₇×#100	—	2	2	no	—
165	C₁₇×#100	—	4	1	no	—
166	C₁₇×C₂²⋊C₈	—	2	1	no	—
167	C₁₇×C₂²⋊C₈	—	2	1	no	—
168	C₁₇×C₂²⋊C₈	—	2	1	no	—
169	C₁₇×C₂²⋊C₈	—	2	1	no	—
170	C₁₇×#97	—	2	1	no	—
171	C₁₇×#97	—	2	1	no	—
172	C₄×C₈×C₁₇	—	2	1	no	—
173	C₄×C₈×C₁₇	—	2	1	no	—
174	C₂⁴×C₁₇	—	2	1	no	—
175	#41×C₁₇	—	2	1	no	—
176	#41×C₁₇	—	2	1	no	—
177	#41×C₁₇	—	2	1	no	—
178	#41×C₁₇	—	2	1	no	—
179	#41×C₁₇	—	2	1	no	—
180	#41×C₁₇	—	2	1	no	—
181	#41×C₁₇	—	2	1	no	—
182	#41×C₁₇	—	2	1	no	—
183	C₂×Q₈×C₁₇	—	2	1	no	—
184	C₂×Q₈×C₁₇	—	2	1	no	—
185	C₂×Q₈×C₁₇	—	2	1	no	—
186	C₂×Q₈×C₁₇	—	2	1	no	—
187	C₂×Q₈×C₁₇	—	2	1	no	—
188	C₂×Q₈×C₁₇	—	2	1	no	—
189	C₂×Q₈×C₁₇	—	2	1	no	—
190	C₂×Q₈×C₁₇	—	2	1	no	—
191	C₂×Q₈×C₁₇	—	2	1	no	—
192	C₂×Q₈×C₁₇	—	2	1	no	—
193	C₂×Q₈×C₁₇	—	2	1	no	—
194	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
195	C₂×Q₈×C₁₇	C₂×D₄	1	1	yes	characteristic
196	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
197	C₂×D₄×C₁₇	—	2	1	no	—
198	C₂×D₄×C₁₇	—	2	1	no	—
199	C₂×D₄×C₁₇	—	2	1	no	—
200	C₂×D₄×C₁₇	—	2	1	no	—
201	C₂×D₄×C₁₇	—	2	1	no	—
202	C₂×D₄×C₁₇	—	2	1	no	—
203	C₂×D₄×C₁₇	—	2	1	no	—
204	C₂×D₄×C₁₇	—	2	1	no	—
205	C₂×D₄×C₁₇	—	2	1	no	—
206	C₂×D₄×C₁₇	—	2	1	no	—
207	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
208	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₇	—	2	1	no	—
210	C₂²×C₄×C₁₇	—	2	1	no	—
211	C₂²×C₄×C₁₇	—	2	1	no	—
212	C₂²×C₄×C₁₇	—	2	1	no	—
213	C₂²×C₄×C₁₇	—	2	1	no	—
214	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
215	C₂²×C₄×C₁₇	#41	1	1	yes	characteristic
216	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
217	Q₁₆×C₁₇	—	4	2	no	—
218	Q₁₆×C₁₇	—	4	2	no	—
219	Q₁₆×C₁₇	—	4	2	no	—
220	Q₁₆×C₁₇	—	4	2	no	—
221	Q₁₆×C₁₇	—	4	2	no	—
222	Q₁₆×C₁₇	—	4	2	no	—
223	SD₁₆×C₁₇	—	4	2	no	—
224	SD₁₆×C₁₇	—	4	2	no	—
225	SD₁₆×C₁₇	—	4	2	no	—
226	SD₁₆×C₁₇	—	4	2	no	—
227	SD₁₆×C₁₇	—	4	2	no	—
228	SD₁₆×C₁₇	—	4	2	no	—
229	SD₁₆×C₁₇	—	4	2	no	—
230	SD₁₆×C₁₇	—	4	2	no	—
231	D₈×C₁₇	—	4	2	no	—
232	D₈×C₁₇	—	4	2	no	—
233	M₁₆×C₁₇	—	2	1	no	—
234	M₁₆×C₁₇	—	2	1	no	—
235	M₁₆×C₁₇	—	2	1	no	—
236	M₁₆×C₁₇	—	2	1	no	—
237	M₁₆×C₁₇	—	2	1	no	—
238	M₁₆×C₁₇	—	2	1	no	—
239	M₁₆×C₁₇	—	2	1	no	—
240	M₁₆×C₁₇	—	2	1	no	—
241	M₁₆×C₁₇	—	2	1	no	—
242	M₁₆×C₁₇	—	4	2	no	—
243	M₁₆×C₁₇	—	4	2	no	—
244	M₁₆×C₁₇	C₂×D₄	1	2	yes	—
245	M₁₆×C₁₇	C₂×D₄	1	2	yes	—
246	M₁₆×C₁₇	#41	1	2	yes	—
247	C₂×C₈×C₁₇	—	2	1	no	—
248	C₂×C₈×C₁₇	—	2	1	no	—
249	C₂×C₈×C₁₇	—	2	1	no	—
250	C₂×C₈×C₁₇	—	2	1	no	—
251	C₂×C₈×C₁₇	—	2	1	no	—
252	C₂×C₈×C₁₇	—	2	1	no	—
253	C₂×C₈×C₁₇	—	2	1	no	—
254	C₂×C₈×C₁₇	—	2	1	no	—
255	C₂×C₈×C₁₇	—	2	1	no	—
256	C₂×C₈×C₁₇	—	2	1	no	—
257	C₂×C₈×C₁₇	—	4	2	no	—
258	C₂×C₈×C₁₇	—	4	2	no	—
259	C₂×C₈×C₁₇	C₂×D₄	1	1	yes	characteristic
260	C₂×C₈×C₁₇	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₁₇	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₁₇	C₂×D₄	1	1	yes	characteristic
263	C₄⋊C₄×C₁₇	—	2	1	no	—
264	C₄⋊C₄×C₁₇	—	2	1	no	—
265	C₄⋊C₄×C₁₇	—	2	1	no	—
266	C₄⋊C₄×C₁₇	—	2	1	no	—
267	C₄⋊C₄×C₁₇	—	4	1	no	—
268	C₄⋊C₄×C₁₇	—	4	1	no	—
269	C₂²⋊C₄×C₁₇	—	2	1	no	—
270	C₂²⋊C₄×C₁₇	—	2	1	no	—
271	C₂²⋊C₄×C₁₇	—	2	1	no	—
272	C₂²⋊C₄×C₁₇	—	2	1	no	—
273	C₂²⋊C₄×C₁₇	—	4	1	no	—
274	C₂²⋊C₄×C₁₇	—	4	1	no	—
275	C₂²⋊C₄×C₁₇	—	4	1	no	—
276	C₂²⋊C₄×C₁₇	—	4	1	no	—
277	C₄²×C₁₇	—	4	1	no	—
278	C₄²×C₁₇	—	4	1	no	—
279	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
280	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
281	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
282	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
283	#25409	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
284	C₂³×C₁₇	—	2	1	no	—
285	C₂³×C₁₇	—	2	1	no	—
286	C₂³×C₁₇	—	4	1	no	—
287	C₂³×C₁₇	—	4	1	no	—
288	C₂³×C₁₇	—	4	1	no	—
289	C₂³×C₁₇	—	8	1	no	—
290	C₂³×C₁₇	—	8	1	no	—
291	C₂³×C₁₇	C₂×#41	1	1	yes	characteristic
292	Q₈×C₁₇	—	2	2	no	—
293	Q₈×C₁₇	—	2	2	no	—
294	Q₈×C₁₇	—	2	1	no	—
295	Q₈×C₁₇	—	2	1	no	—
296	Q₈×C₁₇	—	2	1	no	—
297	Q₈×C₁₇	—	2	1	no	—
298	Q₈×C₁₇	—	4	1	no	—
299	Q₈×C₁₇	—	4	1	no	—
300	Q₈×C₁₇	—	4	1	no	—
301	Q₈×C₁₇	—	4	1	no	—
302	Q₈×C₁₇	—	4	1	no	—
303	Q₈×C₁₇	—	4	1	no	—
304	D₄×C₁₇	—	2	1	no	—
305	D₄×C₁₇	—	2	1	no	—
306	D₄×C₁₇	—	2	1	no	—
307	D₄×C₁₇	—	2	1	no	—
308	D₄×C₁₇	—	4	2	no	—
309	D₄×C₁₇	—	4	1	no	—
310	D₄×C₁₇	—	4	1	no	—
311	D₄×C₁₇	—	4	1	no	—
312	D₄×C₁₇	—	4	1	no	—
313	D₄×C₁₇	—	4	1	no	—
314	D₄×C₁₇	—	4	1	no	—
315	D₄×C₁₇	—	4	1	no	—
316	D₄×C₁₇	—	4	1	no	—
317	D₄×C₁₇	—	8	1	no	—
318	C₂×C₄×C₁₇	—	2	1	no	—
319	C₂×C₄×C₁₇	—	2	1	no	—
320	C₂×C₄×C₁₇	—	2	2	no	—
321	C₂×C₄×C₁₇	—	4	1	no	—
322	C₂×C₄×C₁₇	—	4	1	no	—
323	C₂×C₄×C₁₇	—	4	1	no	—
324	C₂×C₄×C₁₇	—	4	1	no	—
325	C₂×C₄×C₁₇	—	4	1	no	—
326	C₂×C₄×C₁₇	—	4	1	no	—
327	C₂×C₄×C₁₇	—	4	1	no	—
328	C₂×C₄×C₁₇	—	4	1	no	—
329	C₂×C₄×C₁₇	—	4	1	no	—
330	C₂×C₄×C₁₇	—	4	1	no	—
331	C₂×C₄×C₁₇	—	4	1	no	—
332	C₂×C₄×C₁₇	—	4	1	no	—
333	C₂×C₄×C₁₇	—	8	1	no	—
334	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
335	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
336	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
337	C₂×C₄×C₁₇	#121	1	1	yes	characteristic
338	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
342	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
343	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
344	C₈×C₁₇	—	2	1	no	—
345	C₈×C₁₇	—	2	1	no	—
346	C₈×C₁₇	—	2	1	no	—
347	C₈×C₁₇	—	2	1	no	—
348	C₈×C₁₇	—	2	2	no	—
349	C₈×C₁₇	—	2	2	no	—
350	C₈×C₁₇	—	2	2	no	—
351	C₈×C₁₇	—	4	1	no	—
352	C₈×C₁₇	—	4	1	no	—
353	C₈×C₁₇	—	4	1	no	—
354	#3153	C₂×C₁₇	1	1	yes	characteristic
355	C₂×#473	C₂×C₁₇	1	1	yes	characteristic, complemented
356	C₂×#471	C₂×C₁₇	1	1	yes	characteristic, complemented
357	#3037	C₂×C₁₇	1	1	yes	characteristic, complemented
358	C₂×#464	C₂×C₁₇	1	1	yes	characteristic, complemented
359	#2935	C₂×C₁₇	1	1	yes	characteristic, complemented
360	#2052	C₂×C₁₇	1	1	yes	characteristic, complemented
361	#2051	C₂×C₁₇	1	1	yes	characteristic, complemented
362	#2020	C₂×C₁₇	1	1	yes	characteristic, complemented
363	#2019	C₂×C₁₇	1	1	yes	characteristic, complemented
364	#1967	C₂×C₁₇	1	1	yes	characteristic, complemented
365	#1950	C₂×C₁₇	1	1	yes	characteristic, complemented
366	#1908	C₂×C₁₇	1	1	yes	characteristic, complemented
367	#1907	C₂×C₁₇	1	1	yes	characteristic, complemented
368	C₄×#101	C₂×C₁₇	1	1	yes	characteristic, complemented
369	C₂²×C₁₇	—	2	1	no	—
370	C₂²×C₁₇	—	2	1	no	—
371	C₂²×C₁₇	—	4	1	no	—
372	C₂²×C₁₇	—	4	1	no	—
373	C₂²×C₁₇	—	4	1	no	—
374	C₂²×C₁₇	—	4	1	no	—
375	C₂²×C₁₇	—	4	1	no	—
376	C₂²×C₁₇	—	4	1	no	—
377	C₂²×C₁₇	—	8	1	no	—
378	C₂²×C₁₇	—	8	1	no	—
379	C₂²×C₁₇	—	8	1	no	—
380	C₂²×C₁₇	—	16	1	no	—
381	C₂²×C₁₇	—	16	1	no	—
382	C₂²×C₁₇	C₂×#121	1	1	yes	characteristic
383	C₂²×C₁₇	#532	1	1	yes	characteristic
384	C₂²×C₁₇	#540	1	1	yes	characteristic
385	C₄×C₁₇	—	2	1	no	—
386	C₄×C₁₇	—	2	1	no	—
387	C₄×C₁₇	—	2	1	no	—
388	C₄×C₁₇	—	2	1	no	—
389	C₄×C₁₇	—	4	1	no	—
390	C₄×C₁₇	—	4	1	no	—
391	C₄×C₁₇	—	4	2	no	—
392	C₄×C₁₇	—	8	1	no	—
393	C₄×C₁₇	—	8	1	no	—
394	C₄×C₁₇	D₄²	1	1	yes	characteristic
395	C₄×C₁₇	D₄²	1	1	yes	characteristic
396	C₄×C₁₇	#546	1	1	yes	characteristic
397	C₄×C₁₇	#550	1	1	yes	characteristic
398	C₂×#137	C₂²×C₁₇	1	1	yes	characteristic
399	C₂×#137	C₂²×C₁₇	1	1	yes	characteristic
400	C₂×#137	C₂²×C₁₇	1	1	yes	characteristic
401	C₂×#137	C₂²×C₁₇	1	1	yes	characteristic
402	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	1	yes	characteristic
403	C₂×AGL(1,ℤ/8)	C₂²×C₁₇	1	1	yes	characteristic
404	C₂²×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic
405	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
406	C₂×#131	C₂²×C₁₇	1	1	yes	characteristic
407	C₂×#131	C₂²×C₁₇	1	1	yes	characteristic
408	#532	C₂²×C₁₇	1	1	yes	characteristic
409	C₂×#124	C₂²×C₁₇	1	1	yes	characteristic
410	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic
411	#497	—	2	1	no	—
412	#496	—	2	1	no	—
413	#495	—	2	1	no	—
414	#495	—	2	1	no	—
415	#473	—	2	4	no	—
416	#471	—	2	4	no	—
417	#464	—	2	1	no	—
418	#464	—	2	1	no	—
419	#464	—	2	1	no	—
420	#464	—	2	1	no	—
421	#464	—	2	1	no	—
422	#464	—	2	1	no	—
423	#462	—	2	1	no	—
424	#460	—	2	1	no	—
425	#436	—	2	1	no	—
426	#435	—	2	1	no	—
427	#435	—	2	1	no	—
428	C₈×D₄	—	2	1	no	—
429	C₂×#108	C₂²×C₁₇	1	1	yes	characteristic
430	C₂×#108	C₂²×C₁₇	1	1	yes	characteristic
431	#423	C₂²×C₁₇	1	1	yes	characteristic
432	C₂×C₄⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
433	#417	C₂²×C₁₇	1	1	yes	characteristic
434	#417	C₂²×C₁₇	1	1	yes	characteristic
435	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
436	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
437	C₂×#101	C₂²×C₁₇	1	1	yes	characteristic
438	C₂×#101	C₂²×C₁₇	1	1	yes	characteristic
439	C₂×#101	C₂²×C₁₇	1	1	yes	characteristic
440	C₂×#101	C₂²×C₁₇	1	1	yes	characteristic
441	C₂×#100	C₂²×C₁₇	1	1	yes	characteristic
442	C₂×#100	C₂²×C₁₇	1	1	yes	characteristic
443	#408	C₂²×C₁₇	1	1	yes	characteristic
444	#408	C₂²×C₁₇	1	1	yes	characteristic
445	C₄×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
446	C₄×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
447	#343	C₂²×C₁₇	1	1	yes	characteristic
448	#343	C₂²×C₁₇	1	1	yes	characteristic
449	#341	C₂²×C₁₇	1	1	yes	characteristic
450	#341	C₂²×C₁₇	1	1	yes	characteristic
451	C₂×C₁₇	—	2	1	no	—
452	C₂×C₁₇	—	2	1	no	—
453	C₂×C₁₇	—	8	1	no	—
454	C₂×C₁₇	—	8	1	no	—
455	C₂×C₁₇	—	16	1	no	—
456	C₂×C₁₇	#2428	1	1	yes	characteristic
457	C₂×C₁₇	#3067	1	1	yes	characteristic
458	C₂×C₁₇	#3069	1	1	yes	characteristic
459	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
460	C₂×#41	C₂³×C₁₇	1	1	yes	characteristic
461	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
462	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
463	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
464	#137	—	2	2	no	—
465	#137	—	2	2	no	—
466	#137	—	2	2	no	—
467	#137	—	2	2	no	—
468	#137	—	4	1	no	—
469	#137	—	4	1	no	—
470	#137	—	4	1	no	—
471	#137	—	4	1	no	—
472	AGL(1,ℤ/8)	—	2	2	no	—
473	AGL(1,ℤ/8)	—	2	2	no	—
474	AGL(1,ℤ/8)	—	4	1	no	—
475	AGL(1,ℤ/8)	—	4	1	no	—
476	C₂×Q₁₆	—	2	2	no	—
477	C₂×Q₁₆	—	2	1	no	—
478	C₂×Q₁₆	—	2	1	no	—
479	C₂×Q₁₆	—	2	1	no	—
480	C₂×Q₁₆	—	2	1	no	—
481	C₂×Q₁₆	—	2	1	no	—
482	C₂×Q₁₆	—	2	1	no	—
483	C₂×Q₁₆	—	4	1	no	—
484	C₂×SD₁₆	—	2	2	no	—
485	C₂×SD₁₆	—	2	1	no	—
486	C₂×SD₁₆	—	2	1	no	—
487	C₂×SD₁₆	—	2	1	no	—
488	C₂×SD₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×SD₁₆	—	2	1	no	—
491	C₂×SD₁₆	—	2	1	no	—
492	C₂×SD₁₆	—	2	1	no	—
493	C₂×SD₁₆	—	4	1	no	—
494	C₂×D₈	—	2	1	no	—
495	C₂×D₈	—	2	1	no	—
496	#131	—	2	2	no	—
497	#131	—	2	2	no	—
498	#131	—	4	1	no	—
499	#131	—	4	1	no	—
500	C₂×M₁₆	—	2	1	no	—
501	C₂×M₁₆	—	2	1	no	—
502	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
503	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
504	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
505	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
506	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
507	C₂×M₁₆	C₂³×C₁₇	1	1	yes	characteristic
508	C₂²×C₈	—	2	1	no	—
509	C₂²×C₈	—	2	1	no	—
510	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
511	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
512	C₄⋊Q₈	D₄×C₁₇	1	1	yes	characteristic
513	#127	D₄×C₁₇	1	1	yes	characteristic
514	#124	—	2	1	no	—
515	#124	—	2	1	no	—
516	#124	—	2	1	no	—
517	#124	—	2	1	no	—
518	#124	D₄×C₁₇	1	1	yes	characteristic
519	#124	D₄×C₁₇	1	1	yes	characteristic
520	#121	—	2	1	no	—
521	#121	—	2	1	no	—
522	C₄×Q₈	—	2	1	no	—
523	C₄×Q₈	—	2	1	no	—
524	C₄×Q₈	—	2	1	no	—
525	C₄×Q₈	—	2	1	no	—
526	C₄×D₄	—	2	1	no	—
527	C₄×D₄	—	2	1	no	—
528	C₂×C₄⋊C₄	—	2	1	no	—
529	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
530	C₂×C₂²⋊C₄	—	2	1	no	—
531	C₂×C₂²⋊C₄	—	2	1	no	—
532	C₂×C₄²	—	2	1	no	—
533	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
534	#108	—	2	2	no	—
535	#108	—	2	2	no	—
536	C₄⋊C₈	—	2	1	no	—
537	C₄⋊C₈	—	2	1	no	—
538	C₄⋊C₈	D₄×C₁₇	1	1	yes	characteristic
539	C₄⋊C₈	D₄×C₁₇	1	1	yes	characteristic
540	C₄⋊C₈	D₄×C₁₇	1	1	yes	characteristic
541	C₄⋊C₈	D₄×C₁₇	1	1	yes	characteristic
542	#103	—	2	1	no	—
543	#103	—	2	1	no	—
544	#103	—	2	1	no	—
545	#103	—	2	1	no	—
546	#102	—	2	1	no	—
547	#102	—	2	1	no	—
548	#102	—	2	1	no	—
549	#102	—	2	1	no	—
550	#101	—	2	2	no	—
551	#101	—	2	2	no	—
552	#101	—	4	1	no	—
553	#101	D₄×C₁₇	1	4	yes	complemented
554	#100	—	2	2	no	—
555	#100	—	4	1	no	—
556	C₂²⋊C₈	—	2	1	no	—
557	C₂²⋊C₈	—	2	1	no	—
558	C₂²⋊C₈	—	2	1	no	—
559	C₂²⋊C₈	—	2	1	no	—
560	#97	—	2	1	no	—
561	#97	—	2	1	no	—
562	C₄×C₈	—	2	1	no	—
563	C₄×C₈	—	2	1	no	—
564	C₁₇	#25409	1	1	yes	characteristic, direct product factor, Sylow
565	C₂⁴	—	2	1	no	—
566	#41	—	2	1	no	—
567	#41	—	2	1	no	—
568	#41	—	2	1	no	—
569	#41	—	2	1	no	—
570	#41	—	2	1	no	—
571	#41	—	2	1	no	—
572	#41	—	2	1	no	—
573	#41	—	2	1	no	—
574	C₂×Q₈	—	2	1	no	—
575	C₂×Q₈	—	2	1	no	—
576	C₂×Q₈	—	2	1	no	—
577	C₂×Q₈	—	2	1	no	—
578	C₂×Q₈	—	2	1	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	—	2	1	no	—
582	C₂×Q₈	—	2	1	no	—
583	C₂×Q₈	—	2	1	no	—
584	C₂×Q₈	—	2	1	no	—
585	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
586	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
587	C₂×Q₈	C₂×D₄×C₁₇	1	1	yes	characteristic
588	C₂×D₄	—	2	1	no	—
589	C₂×D₄	—	2	1	no	—
590	C₂×D₄	—	2	1	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	2	1	no	—
596	C₂×D₄	—	2	1	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
599	C₂×D₄	C₂×D₄×C₁₇	1	1	yes	characteristic
600	C₂²×C₄	—	2	1	no	—
601	C₂²×C₄	—	2	1	no	—
602	C₂²×C₄	—	2	1	no	—
603	C₂²×C₄	—	2	1	no	—
604	C₂²×C₄	—	2	1	no	—
605	C₂²×C₄	#41×C₁₇	1	1	yes	characteristic
606	C₂²×C₄	#41×C₁₇	1	1	yes	characteristic
607	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
608	Q₁₆	—	4	2	no	—
609	Q₁₆	—	4	2	no	—
610	Q₁₆	—	4	2	no	—
611	Q₁₆	—	4	2	no	—
612	Q₁₆	—	4	2	no	—
613	Q₁₆	—	4	2	no	—
614	SD₁₆	—	4	2	no	—
615	SD₁₆	—	4	2	no	—
616	SD₁₆	—	4	2	no	—
617	SD₁₆	—	4	2	no	—
618	SD₁₆	—	4	2	no	—
619	SD₁₆	—	4	2	no	—
620	SD₁₆	—	4	2	no	—
621	SD₁₆	—	4	2	no	—
622	D₈	—	4	2	no	—
623	D₈	—	4	2	no	—
624	M₁₆	—	2	1	no	—
625	M₁₆	—	2	1	no	—
626	M₁₆	—	2	1	no	—
627	M₁₆	—	2	1	no	—
628	M₁₆	—	2	1	no	—
629	M₁₆	—	2	1	no	—
630	M₁₆	—	2	1	no	—
631	M₁₆	—	2	1	no	—
632	M₁₆	—	2	1	no	—
633	M₁₆	—	4	2	no	—
634	M₁₆	—	4	2	no	—
635	M₁₆	C₂×D₄×C₁₇	1	2	yes	—
636	M₁₆	C₂×D₄×C₁₇	1	2	yes	—
637	M₁₆	#41×C₁₇	1	2	yes	—
638	C₂×C₈	—	2	1	no	—
639	C₂×C₈	—	2	1	no	—
640	C₂×C₈	—	2	1	no	—
641	C₂×C₈	—	2	1	no	—
642	C₂×C₈	—	2	1	no	—
643	C₂×C₈	—	2	1	no	—
644	C₂×C₈	—	2	1	no	—
645	C₂×C₈	—	2	1	no	—
646	C₂×C₈	—	2	1	no	—
647	C₂×C₈	—	2	1	no	—
648	C₂×C₈	—	4	2	no	—
649	C₂×C₈	—	4	2	no	—
650	C₂×C₈	C₂×D₄×C₁₇	1	1	yes	characteristic
651	C₂×C₈	C₂×D₄×C₁₇	1	1	yes	characteristic
652	C₂×C₈	C₂×D₄×C₁₇	1	1	yes	characteristic
653	C₂×C₈	C₂×D₄×C₁₇	1	1	yes	characteristic
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	2	1	no	—
658	C₄⋊C₄	—	4	1	no	—
659	C₄⋊C₄	—	4	1	no	—
660	C₂²⋊C₄	—	2	1	no	—
661	C₂²⋊C₄	—	2	1	no	—
662	C₂²⋊C₄	—	2	1	no	—
663	C₂²⋊C₄	—	2	1	no	—
664	C₂²⋊C₄	—	4	1	no	—
665	C₂²⋊C₄	—	4	1	no	—
666	C₂²⋊C₄	—	4	1	no	—
667	C₂²⋊C₄	—	4	1	no	—
668	C₄²	—	4	1	no	—
669	C₄²	—	4	1	no	—
670	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
671	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
672	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
673	C₄²	C₂×D₄×C₁₇	1	1	yes	characteristic
674	C₂³	—	2	1	no	—
675	C₂³	—	2	1	no	—
676	C₂³	—	4	1	no	—
677	C₂³	—	4	1	no	—
678	C₂³	—	4	1	no	—
679	C₂³	—	8	1	no	—
680	C₂³	—	8	1	no	—
681	C₂³	C₂×#41×C₁₇	1	1	yes	characteristic
682	Q₈	—	2	2	no	—
683	Q₈	—	2	2	no	—
684	Q₈	—	2	1	no	—
685	Q₈	—	2	1	no	—
686	Q₈	—	2	1	no	—
687	Q₈	—	2	1	no	—
688	Q₈	—	4	1	no	—
689	Q₈	—	4	1	no	—
690	Q₈	—	4	1	no	—
691	Q₈	—	4	1	no	—
692	Q₈	—	4	1	no	—
693	Q₈	—	4	1	no	—
694	D₄	—	2	1	no	—
695	D₄	—	2	1	no	—
696	D₄	—	2	1	no	—
697	D₄	—	2	1	no	—
698	D₄	—	4	2	no	—
699	D₄	—	4	1	no	—
700	D₄	—	4	1	no	—
701	D₄	—	4	1	no	—
702	D₄	—	4	1	no	—
703	D₄	—	4	1	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	1	no	—
706	D₄	—	4	1	no	—
707	D₄	—	8	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	1	no	—
717	C₂×C₄	—	4	1	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	8	1	no	—
724	C₂×C₄	C₁₇×#121	1	1	yes	characteristic
725	C₂×C₄	C₁₇×#121	1	1	yes	characteristic
726	C₂×C₄	C₁₇×#121	1	1	yes	characteristic
727	C₂×C₄	C₁₇×#121	1	1	yes	characteristic
728	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
729	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
730	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
731	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
732	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
734	C₈	—	2	1	no	—
735	C₈	—	2	1	no	—
736	C₈	—	2	1	no	—
737	C₈	—	2	1	no	—
738	C₈	—	2	2	no	—
739	C₈	—	2	2	no	—
740	C₈	—	2	2	no	—
741	C₈	—	4	1	no	—
742	C₈	—	4	1	no	—
743	C₈	—	4	1	no	—
744	C₂²	—	2	1	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	4	1	no	—
747	C₂²	—	4	1	no	—
748	C₂²	—	4	1	no	—
749	C₂²	—	4	1	no	—
750	C₂²	—	4	1	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	8	1	no	—
753	C₂²	—	8	1	no	—
754	C₂²	—	8	1	no	—
755	C₂²	—	16	1	no	—
756	C₂²	—	16	1	no	—
757	C₂²	C₂×C₁₇×#121	1	1	yes	characteristic
758	C₂²	C₁₇×#532	1	1	yes	characteristic
759	C₂²	C₁₇×#540	1	1	yes	characteristic
760	C₄	—	2	1	no	—
761	C₄	—	2	1	no	—
762	C₄	—	2	1	no	—
763	C₄	—	2	1	no	—
764	C₄	—	4	1	no	—
765	C₄	—	4	1	no	—
766	C₄	—	4	2	no	—
767	C₄	—	8	1	no	—
768	C₄	—	8	1	no	—
769	C₄	D₄²×C₁₇	1	1	yes	characteristic
770	C₄	D₄²×C₁₇	1	1	yes	characteristic
771	C₄	C₁₇×#546	1	1	yes	characteristic
772	C₄	C₁₇×#550	1	1	yes	characteristic
773	C₂	—	2	1	no	—
774	C₂	—	2	1	no	—
775	C₂	—	8	1	no	—
776	C₂	—	8	1	no	—
777	C₂	—	16	1	no	—
778	C₂	C₁₇×#2428	1	1	yes	characteristic
779	C₂	C₁₇×#3067	1	1	yes	characteristic
780	C₂	C₁₇×#3069	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₇	C₂×#121
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₇
prime radical	C₁₇×#3153	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₇ ◁ C₂×C₄²×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₇×#473	C₂	semidirect
3. C₂×C₁₇×#471	C₂	semidirect
4. C₁₇×#3037	C₂	semidirect
5. C₂×C₁₇×#464	C₂	semidirect
6. C₁₇×#2935	C₂	semidirect
7. C₁₇×#2052	C₂	semidirect
8. C₁₇×#2051	C₂	semidirect
9. C₁₇×#2020	C₂	semidirect
10. C₁₇×#2019	C₂	semidirect
11. C₁₇×#1967	C₂	semidirect
12. C₁₇×#1950	C₂	semidirect
13. C₁₇×#1908	C₂	semidirect
14. C₁₇×#1907	C₂	semidirect
15. C₄×C₁₇×#101	C₂	semidirect
163. C₁₇×#101	D₄	semidirect
283. #25409	C₁₇	direct (N × H)
355. C₂×#473	C₂×C₁₇	semidirect
356. C₂×#471	C₂×C₁₇	semidirect
357. #3037	C₂×C₁₇	semidirect
358. C₂×#464	C₂×C₁₇	semidirect
359. #2935	C₂×C₁₇	semidirect
360. #2052	C₂×C₁₇	semidirect
361. #2051	C₂×C₁₇	semidirect
362. #2020	C₂×C₁₇	semidirect
363. #2019	C₂×C₁₇	semidirect
364. #1967	C₂×C₁₇	semidirect
365. #1950	C₂×C₁₇	semidirect
366. #1908	C₂×C₁₇	semidirect
367. #1907	C₂×C₁₇	semidirect
368. C₄×#101	C₂×C₁₇	semidirect
553. #101	D₄×C₁₇	semidirect
564. C₁₇	#25409	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×#3153	2
C₂×C₁₇×#473	2
C₂×C₁₇×#471	2
C₁₇×#3037	2
C₂×C₁₇×#464	2
C₁₇×#2935	2
C₁₇×#2052	2
C₁₇×#2051	2
C₁₇×#2020	2
C₁₇×#2019	2
C₁₇×#1967	2
C₁₇×#1950	2
C₁₇×#1908	2
C₁₇×#1907	2
C₄×C₁₇×#101	2
#25409	17

Subgroups — C17×#25409 #16883153

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#25409 #16883153