Subgroups — C₁₇×#25418 #16883162

Order 4352.

986 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₇×#497	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₇×#470	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₇×#468	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄×Q₁₆×C₁₇	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#2429	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2426	C₂	1	1	yes	maximal, characteristic
7	C₁₇×#2043	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#2042	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#2001	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#2000	C₂	1	1	yes	maximal, characteristic
11	C₁₇×#1968	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#1943	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#1880	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#1878	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#1753	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic
17	C₂²×Q₁₆×C₁₇	C₂²	1	1	yes	characteristic
18	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
19	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
20	C₂²×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
21	C₂×C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
22	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic
23	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
29	C₁₇×#497	—	2	4	no	—
30	C₁₇×#470	—	2	4	no	—
31	C₁₇×#468	—	2	4	no	—
32	C₄×Q₁₆×C₁₇	—	2	4	no	—
33	C₂×C₁₇×#107	C₂²	1	1	yes	characteristic
34	C₂×C₁₇×#106	C₂²	1	1	yes	characteristic
35	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
36	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
37	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
38	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
39	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
40	C₂×C₁₇×#103	C₂²	1	1	yes	characteristic
41	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
42	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
43	C₂×C₁₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₇×#97	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₈×C₁₇	C₂²	1	1	yes	characteristic
46	C₁₇×#398	—	2	1	no	—
47	C₁₇×#396	—	2	1	no	—
48	C₁₇×#396	—	2	1	no	—
49	C₁₇×#394	—	2	1	no	—
50	C₁₇×#391	C₂²	1	1	yes	characteristic
51	C₁₇×#390	—	2	1	no	—
52	C₁₇×#390	C₂²	1	1	yes	characteristic
53	C₁₇×#389	—	2	1	no	—
54	C₁₇×#389	C₂²	1	1	yes	characteristic
55	C₁₇×#389	C₂²	1	1	yes	characteristic
56	C₁₇×#388	—	2	1	no	—
57	C₁₇×#388	—	2	1	no	—
58	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
59	C₁₇×#340	C₂²	1	1	yes	characteristic
60	C₁₇×#340	C₂²	1	1	yes	characteristic
61	C₁₇×#336	C₂²	1	1	yes	characteristic
62	C₁₇×#336	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
64	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
65	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
66	C₂²×D₄×C₁₇	—	2	1	no	—
67	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
69	C₂×Q₁₆×C₁₇	—	2	2	no	—
70	C₂×Q₁₆×C₁₇	—	2	2	no	—
71	C₂×Q₁₆×C₁₇	—	2	2	no	—
72	C₂×Q₁₆×C₁₇	—	2	2	no	—
73	C₂×Q₁₆×C₁₇	—	4	1	no	—
74	C₂×Q₁₆×C₁₇	D₄	1	4	yes	complemented
75	C₂×SD₁₆×C₁₇	—	2	2	no	—
76	C₂×SD₁₆×C₁₇	—	2	2	no	—
77	C₂×SD₁₆×C₁₇	—	2	2	no	—
78	C₂×SD₁₆×C₁₇	—	2	2	no	—
79	C₂×SD₁₆×C₁₇	—	2	2	no	—
80	C₂×SD₁₆×C₁₇	—	4	1	no	—
81	C₂×M₁₆×C₁₇	—	2	2	no	—
82	C₂×M₁₆×C₁₇	—	2	2	no	—
83	C₂×M₁₆×C₁₇	—	2	2	no	—
84	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
85	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
87	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
88	C₁₇×C₄⋊Q₈	—	2	2	no	—
89	C₁₇×C₄⋊Q₈	—	4	1	no	—
90	C₁₇×#124	—	2	2	no	—
91	C₁₇×#124	—	4	1	no	—
92	C₁₇×C₂²⋊Q₈	—	2	2	no	—
93	C₁₇×C₂²⋊Q₈	—	2	2	no	—
94	C₁₇×C₂²⋊Q₈	—	2	2	no	—
95	C₁₇×C₂²⋊Q₈	—	4	1	no	—
96	C₁₇×C₂²⋊Q₈	—	4	1	no	—
97	C₁₇×C₂²⋊Q₈	—	4	1	no	—
98	C₁₇×#121	—	2	2	no	—
99	C₁₇×#121	—	4	1	no	—
100	C₄×Q₈×C₁₇	—	2	2	no	—
101	C₄×Q₈×C₁₇	—	2	2	no	—
102	C₄×Q₈×C₁₇	—	4	1	no	—
103	C₄×Q₈×C₁₇	—	4	1	no	—
104	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
105	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
106	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
107	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
108	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
109	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
110	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
111	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
112	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
113	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
114	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
115	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
117	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
122	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
123	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
124	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
125	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
126	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
127	C₂×C₄²×C₁₇	—	2	1	no	—
128	C₂×C₄²×C₁₇	—	2	1	no	—
129	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
130	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
131	C₁₇×#107	D₄	1	4	yes	—
132	C₁₇×#106	—	2	2	no	—
133	C₁₇×#103	—	2	2	no	—
134	C₁₇×#103	—	2	2	no	—
135	C₁₇×#103	—	2	2	no	—
136	C₁₇×#103	—	2	2	no	—
137	C₁₇×#103	—	2	2	no	—
138	C₁₇×#103	—	4	1	no	—
139	C₁₇×#102	—	2	2	no	—
140	C₁₇×#102	—	4	1	no	—
141	C₁₇×C₂²⋊C₈	—	2	2	no	—
142	C₁₇×#97	—	2	2	no	—
143	C₄×C₈×C₁₇	—	2	2	no	—
144	C₁₇×#95	—	2	1	no	—
145	C₁₇×#95	—	2	1	no	—
146	C₁₇×#95	—	2	1	no	—
147	C₁₇×#95	—	2	1	no	—
148	C₁₇×#95	D₄	1	1	yes	characteristic
149	C₁₇×#95	D₄	1	1	yes	characteristic
150	C₂⁴×C₁₇	—	2	1	no	—
151	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
152	C₂×Q₈×C₁₇	—	2	1	no	—
153	C₂×Q₈×C₁₇	—	2	1	no	—
154	C₂×Q₈×C₁₇	—	2	1	no	—
155	C₂×Q₈×C₁₇	—	2	1	no	—
156	C₂×Q₈×C₁₇	—	2	1	no	—
157	C₂×Q₈×C₁₇	—	2	1	no	—
158	C₂×Q₈×C₁₇	—	2	1	no	—
159	C₂×Q₈×C₁₇	—	2	1	no	—
160	C₂×Q₈×C₁₇	—	2	1	no	—
161	C₂×Q₈×C₁₇	—	2	1	no	—
162	C₂×Q₈×C₁₇	—	2	1	no	—
163	C₂×Q₈×C₁₇	—	2	1	no	—
164	C₂×Q₈×C₁₇	—	2	1	no	—
165	C₂×Q₈×C₁₇	—	2	1	no	—
166	C₂×Q₈×C₁₇	—	2	1	no	—
167	C₂×Q₈×C₁₇	—	2	1	no	—
168	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
169	C₂×Q₈×C₁₇	C₂×D₄	1	2	yes	—
170	C₂×D₄×C₁₇	—	2	1	no	—
171	C₂×D₄×C₁₇	—	2	1	no	—
172	C₂×D₄×C₁₇	—	2	1	no	—
173	C₂×D₄×C₁₇	—	2	1	no	—
174	C₂×D₄×C₁₇	—	2	1	no	—
175	C₂×D₄×C₁₇	—	2	1	no	—
176	C₂×D₄×C₁₇	—	4	2	no	—
177	C₂×D₄×C₁₇	—	4	2	no	—
178	C₂×D₄×C₁₇	—	8	1	no	—
179	C₂²×C₄×C₁₇	—	2	1	no	—
180	C₂²×C₄×C₁₇	—	2	1	no	—
181	C₂²×C₄×C₁₇	—	2	1	no	—
182	C₂²×C₄×C₁₇	—	2	1	no	—
183	C₂²×C₄×C₁₇	—	2	1	no	—
184	C₂²×C₄×C₁₇	—	2	1	no	—
185	C₂²×C₄×C₁₇	—	2	1	no	—
186	C₂²×C₄×C₁₇	—	2	1	no	—
187	C₂²×C₄×C₁₇	—	2	1	no	—
188	C₂²×C₄×C₁₇	—	2	1	no	—
189	C₂²×C₄×C₁₇	—	2	1	no	—
190	C₂²×C₄×C₁₇	—	2	1	no	—
191	C₂²×C₄×C₁₇	—	2	1	no	—
192	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
193	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
197	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
198	Q₁₆×C₁₇	—	2	8	no	—
199	Q₁₆×C₁₇	—	4	4	no	—
200	SD₁₆×C₁₇	—	4	4	no	—
201	SD₁₆×C₁₇	—	4	4	no	—
202	M₁₆×C₁₇	—	4	4	no	—
203	C₂×C₈×C₁₇	—	2	1	no	—
204	C₂×C₈×C₁₇	—	2	1	no	—
205	C₂×C₈×C₁₇	—	2	1	no	—
206	C₂×C₈×C₁₇	—	2	1	no	—
207	C₂×C₈×C₁₇	—	2	1	no	—
208	C₂×C₈×C₁₇	—	2	1	no	—
209	C₂×C₈×C₁₇	—	2	1	no	—
210	C₂×C₈×C₁₇	—	2	1	no	—
211	C₂×C₈×C₁₇	C₂×D₄	1	2	yes	—
212	C₂×C₈×C₁₇	C₂×D₄	1	2	yes	—
213	C₂×C₈×C₁₇	#41	1	2	yes	—
214	C₂×C₈×C₁₇	#41	1	2	yes	—
215	C₄⋊C₄×C₁₇	—	2	1	no	—
216	C₄⋊C₄×C₁₇	—	2	1	no	—
217	C₄⋊C₄×C₁₇	—	2	1	no	—
218	C₄⋊C₄×C₁₇	—	2	1	no	—
219	C₄⋊C₄×C₁₇	—	2	1	no	—
220	C₄⋊C₄×C₁₇	—	2	1	no	—
221	C₄⋊C₄×C₁₇	—	4	2	no	—
222	C₄⋊C₄×C₁₇	—	4	2	no	—
223	C₄⋊C₄×C₁₇	—	4	2	no	—
224	C₄⋊C₄×C₁₇	—	4	2	no	—
225	C₄⋊C₄×C₁₇	—	4	2	no	—
226	C₄⋊C₄×C₁₇	—	4	2	no	—
227	C₄⋊C₄×C₁₇	—	4	2	no	—
228	C₄⋊C₄×C₁₇	—	4	2	no	—
229	C₄⋊C₄×C₁₇	—	8	1	no	—
230	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
231	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
232	C₂²⋊C₄×C₁₇	—	2	2	no	—
233	C₂²⋊C₄×C₁₇	—	4	1	no	—
234	C₂²⋊C₄×C₁₇	—	4	2	no	—
235	C₂²⋊C₄×C₁₇	—	4	2	no	—
236	C₂²⋊C₄×C₁₇	—	4	2	no	—
237	C₂²⋊C₄×C₁₇	—	4	2	no	—
238	C₂²⋊C₄×C₁₇	—	4	2	no	—
239	C₂²⋊C₄×C₁₇	—	4	2	no	—
240	C₂²⋊C₄×C₁₇	—	4	2	no	—
241	C₂²⋊C₄×C₁₇	—	8	1	no	—
242	C₄²×C₁₇	—	2	1	no	—
243	C₄²×C₁₇	—	2	1	no	—
244	C₄²×C₁₇	—	2	1	no	—
245	C₄²×C₁₇	—	2	1	no	—
246	C₄²×C₁₇	—	4	2	no	—
247	C₄²×C₁₇	—	4	2	no	—
248	#25418	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
249	C₂³×C₁₇	—	2	1	no	—
250	C₂³×C₁₇	—	2	1	no	—
251	C₂³×C₁₇	—	2	1	no	—
252	C₂³×C₁₇	—	2	1	no	—
253	C₂³×C₁₇	—	2	1	no	—
254	C₂³×C₁₇	—	2	1	no	—
255	C₂³×C₁₇	—	2	1	no	—
256	C₂³×C₁₇	—	4	1	no	—
257	C₂³×C₁₇	—	4	1	no	—
258	C₂³×C₁₇	—	4	1	no	—
259	C₂³×C₁₇	—	4	1	no	—
260	C₂³×C₁₇	—	4	1	no	—
261	C₂³×C₁₇	—	4	1	no	—
262	C₂³×C₁₇	—	4	1	no	—
263	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
264	Q₈×C₁₇	—	2	2	no	—
265	Q₈×C₁₇	—	2	2	no	—
266	Q₈×C₁₇	—	2	2	no	—
267	Q₈×C₁₇	—	2	2	no	—
268	Q₈×C₁₇	—	4	1	no	—
269	Q₈×C₁₇	—	4	1	no	—
270	Q₈×C₁₇	—	4	1	no	—
271	Q₈×C₁₇	—	4	1	no	—
272	Q₈×C₁₇	—	4	1	no	—
273	Q₈×C₁₇	—	4	1	no	—
274	Q₈×C₁₇	—	4	1	no	—
275	Q₈×C₁₇	—	4	1	no	—
276	D₄×C₁₇	—	4	1	no	—
277	D₄×C₁₇	—	4	1	no	—
278	D₄×C₁₇	—	4	1	no	—
279	D₄×C₁₇	—	4	1	no	—
280	D₄×C₁₇	—	8	4	no	—
281	C₂×C₄×C₁₇	—	2	1	no	—
282	C₂×C₄×C₁₇	—	2	1	no	—
283	C₂×C₄×C₁₇	—	2	1	no	—
284	C₂×C₄×C₁₇	—	2	1	no	—
285	C₂×C₄×C₁₇	—	2	1	no	—
286	C₂×C₄×C₁₇	—	2	1	no	—
287	C₂×C₄×C₁₇	—	2	2	no	—
288	C₂×C₄×C₁₇	—	2	2	no	—
289	C₂×C₄×C₁₇	—	2	2	no	—
290	C₂×C₄×C₁₇	—	2	1	no	—
291	C₂×C₄×C₁₇	—	2	2	no	—
292	C₂×C₄×C₁₇	—	2	1	no	—
293	C₂×C₄×C₁₇	—	2	1	no	—
294	C₂×C₄×C₁₇	—	2	1	no	—
295	C₂×C₄×C₁₇	—	2	1	no	—
296	C₂×C₄×C₁₇	—	2	1	no	—
297	C₂×C₄×C₁₇	—	2	1	no	—
298	C₂×C₄×C₁₇	—	2	1	no	—
299	C₂×C₄×C₁₇	—	4	1	no	—
300	C₂×C₄×C₁₇	—	4	1	no	—
301	C₂×C₄×C₁₇	—	4	1	no	—
302	C₂×C₄×C₁₇	—	4	1	no	—
303	C₂×C₄×C₁₇	—	4	1	no	—
304	C₂×C₄×C₁₇	—	4	1	no	—
305	C₂×C₄×C₁₇	—	4	1	no	—
306	C₂×C₄×C₁₇	—	4	1	no	—
307	C₂×C₄×C₁₇	—	4	1	no	—
308	C₂×C₄×C₁₇	—	4	1	no	—
309	C₂×C₄×C₁₇	—	4	1	no	—
310	C₂×C₄×C₁₇	—	4	1	no	—
311	C₂×C₄×C₁₇	—	4	1	no	—
312	C₂×C₄×C₁₇	—	4	1	no	—
313	C₂×C₄×C₁₇	—	4	1	no	—
314	C₂×C₄×C₁₇	—	4	1	no	—
315	C₂×C₄×C₁₇	—	4	1	no	—
316	C₂×C₄×C₁₇	—	4	1	no	—
317	C₂×C₄×C₁₇	—	4	1	no	—
318	C₂×C₄×C₁₇	—	4	1	no	—
319	C₂×C₄×C₁₇	—	4	1	no	—
320	C₂×C₄×C₁₇	#137	1	2	yes	—
321	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
323	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
324	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
325	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
326	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
327	C₈×C₁₇	—	2	2	no	—
328	C₈×C₁₇	—	4	1	no	—
329	C₈×C₁₇	—	4	1	no	—
330	C₈×C₁₇	#121	1	4	yes	—
331	C₂×#497	C₂×C₁₇	1	1	yes	characteristic, complemented
332	C₂×#470	C₂×C₁₇	1	1	yes	characteristic, complemented
333	C₂×#468	C₂×C₁₇	1	1	yes	characteristic
334	C₂×C₄×Q₁₆	C₂×C₁₇	1	1	yes	characteristic, complemented
335	#2429	C₂×C₁₇	1	1	yes	characteristic, complemented
336	#2426	C₂×C₁₇	1	1	yes	characteristic
337	#2043	C₂×C₁₇	1	1	yes	characteristic, complemented
338	#2042	C₂×C₁₇	1	1	yes	characteristic, complemented
339	#2001	C₂×C₁₇	1	1	yes	characteristic, complemented
340	#2000	C₂×C₁₇	1	1	yes	characteristic
341	#1968	C₂×C₁₇	1	1	yes	characteristic, complemented
342	#1943	C₂×C₁₇	1	1	yes	characteristic, complemented
343	#1880	C₂×C₁₇	1	1	yes	characteristic, complemented
344	#1878	C₂×C₁₇	1	1	yes	characteristic, complemented
345	#1753	C₂×C₁₇	1	1	yes	characteristic, complemented
346	C₂²×C₁₇	—	4	1	no	—
347	C₂²×C₁₇	—	4	1	no	—
348	C₂²×C₁₇	—	4	1	no	—
349	C₂²×C₁₇	—	4	1	no	—
350	C₂²×C₁₇	—	4	1	no	—
351	C₂²×C₁₇	—	4	1	no	—
352	C₂²×C₁₇	—	4	1	no	—
353	C₂²×C₁₇	—	8	1	no	—
354	C₂²×C₁₇	—	8	1	no	—
355	C₂²×C₁₇	—	8	1	no	—
356	C₂²×C₁₇	—	8	1	no	—
357	C₂²×C₁₇	—	8	1	no	—
358	C₂²×C₁₇	—	8	1	no	—
359	C₂²×C₁₇	—	8	1	no	—
360	C₂²×C₁₇	#532	1	1	yes	characteristic
361	C₂²×C₁₇	D₄²	1	1	yes	characteristic
362	C₂²×C₁₇	D₄²	1	1	yes	characteristic
363	C₂²×C₁₇	C₂×#137	1	1	yes	characteristic
364	C₂²×C₁₇	#575	1	1	yes	characteristic
365	C₂²×C₁₇	#577	1	1	yes	characteristic
366	C₂²×C₁₇	#578	1	1	yes	characteristic
367	C₄×C₁₇	—	2	2	no	—
368	C₄×C₁₇	—	4	1	no	—
369	C₄×C₁₇	—	4	2	no	—
370	C₄×C₁₇	—	4	2	no	—
371	C₄×C₁₇	—	4	1	no	—
372	C₄×C₁₇	—	4	2	no	—
373	C₄×C₁₇	—	4	2	no	—
374	C₄×C₁₇	—	4	1	no	—
375	C₄×C₁₇	—	4	1	no	—
376	C₄×C₁₇	—	8	1	no	—
377	C₄×C₁₇	—	8	1	no	—
378	C₄×C₁₇	—	8	1	no	—
379	C₄×C₁₇	C₂×#121	1	1	yes	characteristic
380	C₄×C₁₇	#540	1	1	yes	characteristic
381	C₄×C₁₇	#546	1	1	yes	characteristic
382	C₄×C₁₇	#550	1	1	yes	characteristic
383	C₂²×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic
384	C₂²×Q₁₆	C₂²×C₁₇	1	1	yes	characteristic
385	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
386	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
387	C₂²×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
388	C₂×C₄⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
389	C₂×#124	C₂²×C₁₇	1	1	yes	characteristic
390	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
391	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
392	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
393	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
394	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic
395	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic
396	#497	—	2	4	no	—
397	#470	—	2	4	no	—
398	#468	—	2	4	no	—
399	C₄×Q₁₆	—	2	4	no	—
400	C₂×#107	C₂²×C₁₇	1	1	yes	characteristic
401	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic
402	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
403	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
404	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
405	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
406	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
407	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
408	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
409	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
410	C₂×C₂²⋊C₈	C₂²×C₁₇	1	1	yes	characteristic
411	C₂×#97	C₂²×C₁₇	1	1	yes	characteristic
412	C₂×C₄×C₈	C₂²×C₁₇	1	1	yes	characteristic
413	#398	—	2	1	no	—
414	#396	—	2	1	no	—
415	#396	—	2	1	no	—
416	#394	—	2	1	no	—
417	#391	C₂²×C₁₇	1	1	yes	characteristic
418	#390	—	2	1	no	—
419	#390	C₂²×C₁₇	1	1	yes	characteristic
420	#389	—	2	1	no	—
421	#389	C₂²×C₁₇	1	1	yes	characteristic
422	#389	C₂²×C₁₇	1	1	yes	characteristic
423	#388	—	2	1	no	—
424	#388	—	2	1	no	—
425	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
426	#340	C₂²×C₁₇	1	1	yes	characteristic
427	#340	C₂²×C₁₇	1	1	yes	characteristic
428	#336	C₂²×C₁₇	1	1	yes	characteristic
429	#336	C₂²×C₁₇	1	1	yes	characteristic
430	C₂×C₁₇	—	8	1	no	—
431	C₂×C₁₇	—	16	1	no	—
432	C₂×C₁₇	#2428	1	1	yes	characteristic
433	C₂×C₁₇	#3172	1	1	yes	characteristic
434	C₂×C₁₇	#3178	1	1	yes	characteristic
435	C₂×C₁₇	#3267	1	1	yes	characteristic
436	C₂×C₁₇	#3270	1	1	yes	characteristic
437	C₂×C₁₇	#3277	1	1	yes	characteristic
438	C₂×C₁₇	#3278	1	1	yes	characteristic
439	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
440	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
441	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
442	C₂²×D₄	—	2	1	no	—
443	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
444	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
445	C₂×Q₁₆	—	2	2	no	—
446	C₂×Q₁₆	—	2	2	no	—
447	C₂×Q₁₆	—	2	2	no	—
448	C₂×Q₁₆	—	2	2	no	—
449	C₂×Q₁₆	—	4	1	no	—
450	C₂×Q₁₆	D₄×C₁₇	1	4	yes	complemented
451	C₂×SD₁₆	—	2	2	no	—
452	C₂×SD₁₆	—	2	2	no	—
453	C₂×SD₁₆	—	2	2	no	—
454	C₂×SD₁₆	—	2	2	no	—
455	C₂×SD₁₆	—	2	2	no	—
456	C₂×SD₁₆	—	4	1	no	—
457	C₂×M₁₆	—	2	2	no	—
458	C₂×M₁₆	—	2	2	no	—
459	C₂×M₁₆	—	2	2	no	—
460	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
461	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
462	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
463	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
464	C₄⋊Q₈	—	2	2	no	—
465	C₄⋊Q₈	—	4	1	no	—
466	#124	—	2	2	no	—
467	#124	—	4	1	no	—
468	C₂²⋊Q₈	—	2	2	no	—
469	C₂²⋊Q₈	—	2	2	no	—
470	C₂²⋊Q₈	—	2	2	no	—
471	C₂²⋊Q₈	—	4	1	no	—
472	C₂²⋊Q₈	—	4	1	no	—
473	C₂²⋊Q₈	—	4	1	no	—
474	#121	—	2	2	no	—
475	#121	—	4	1	no	—
476	C₄×Q₈	—	2	2	no	—
477	C₄×Q₈	—	2	2	no	—
478	C₄×Q₈	—	4	1	no	—
479	C₄×Q₈	—	4	1	no	—
480	C₂×C₄⋊C₄	—	2	1	no	—
481	C₂×C₄⋊C₄	—	2	1	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	2	1	no	—
489	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	D₄×C₁₇	1	1	yes	characteristic
502	C₂×C₂²⋊C₄	D₄×C₁₇	1	1	yes	characteristic
503	C₂×C₄²	—	2	1	no	—
504	C₂×C₄²	—	2	1	no	—
505	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
506	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
507	#107	D₄×C₁₇	1	4	yes	—
508	#106	—	2	2	no	—
509	#103	—	2	2	no	—
510	#103	—	2	2	no	—
511	#103	—	2	2	no	—
512	#103	—	2	2	no	—
513	#103	—	2	2	no	—
514	#103	—	4	1	no	—
515	#102	—	2	2	no	—
516	#102	—	4	1	no	—
517	C₂²⋊C₈	—	2	2	no	—
518	#97	—	2	2	no	—
519	C₄×C₈	—	2	2	no	—
520	#95	—	2	1	no	—
521	#95	—	2	1	no	—
522	#95	—	2	1	no	—
523	#95	—	2	1	no	—
524	#95	D₄×C₁₇	1	1	yes	characteristic
525	#95	D₄×C₁₇	1	1	yes	characteristic
526	C₁₇	#25418	1	1	yes	characteristic, direct product factor, Sylow
527	C₂⁴	—	2	1	no	—
528	C₂⁴	C₂×D₄×C₁₇	1	1	yes	characteristic
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	1	no	—
532	C₂×Q₈	—	2	1	no	—
533	C₂×Q₈	—	2	1	no	—
534	C₂×Q₈	—	2	1	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×Q₈	—	2	1	no	—
540	C₂×Q₈	—	2	1	no	—
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
546	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
547	C₂×D₄	—	2	1	no	—
548	C₂×D₄	—	2	1	no	—
549	C₂×D₄	—	2	1	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	4	2	no	—
554	C₂×D₄	—	4	2	no	—
555	C₂×D₄	—	8	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
570	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
571	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
572	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
573	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
575	Q₁₆	—	2	8	no	—
576	Q₁₆	—	4	4	no	—
577	SD₁₆	—	4	4	no	—
578	SD₁₆	—	4	4	no	—
579	M₁₆	—	4	4	no	—
580	C₂×C₈	—	2	1	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	C₂×D₄×C₁₇	1	2	yes	—
589	C₂×C₈	C₂×D₄×C₁₇	1	2	yes	—
590	C₂×C₈	#41×C₁₇	1	2	yes	—
591	C₂×C₈	#41×C₁₇	1	2	yes	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	2	1	no	—
596	C₄⋊C₄	—	2	1	no	—
597	C₄⋊C₄	—	2	1	no	—
598	C₄⋊C₄	—	4	2	no	—
599	C₄⋊C₄	—	4	2	no	—
600	C₄⋊C₄	—	4	2	no	—
601	C₄⋊C₄	—	4	2	no	—
602	C₄⋊C₄	—	4	2	no	—
603	C₄⋊C₄	—	4	2	no	—
604	C₄⋊C₄	—	4	2	no	—
605	C₄⋊C₄	—	4	2	no	—
606	C₄⋊C₄	—	8	1	no	—
607	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
608	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
609	C₂²⋊C₄	—	2	2	no	—
610	C₂²⋊C₄	—	4	1	no	—
611	C₂²⋊C₄	—	4	2	no	—
612	C₂²⋊C₄	—	4	2	no	—
613	C₂²⋊C₄	—	4	2	no	—
614	C₂²⋊C₄	—	4	2	no	—
615	C₂²⋊C₄	—	4	2	no	—
616	C₂²⋊C₄	—	4	2	no	—
617	C₂²⋊C₄	—	4	2	no	—
618	C₂²⋊C₄	—	8	1	no	—
619	C₄²	—	2	1	no	—
620	C₄²	—	2	1	no	—
621	C₄²	—	2	1	no	—
622	C₄²	—	2	1	no	—
623	C₄²	—	4	2	no	—
624	C₄²	—	4	2	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	4	1	no	—
633	C₂³	—	4	1	no	—
634	C₂³	—	4	1	no	—
635	C₂³	—	4	1	no	—
636	C₂³	—	4	1	no	—
637	C₂³	—	4	1	no	—
638	C₂³	—	4	1	no	—
639	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
640	Q₈	—	2	2	no	—
641	Q₈	—	2	2	no	—
642	Q₈	—	2	2	no	—
643	Q₈	—	2	2	no	—
644	Q₈	—	4	1	no	—
645	Q₈	—	4	1	no	—
646	Q₈	—	4	1	no	—
647	Q₈	—	4	1	no	—
648	Q₈	—	4	1	no	—
649	Q₈	—	4	1	no	—
650	Q₈	—	4	1	no	—
651	Q₈	—	4	1	no	—
652	D₄	—	4	1	no	—
653	D₄	—	4	1	no	—
654	D₄	—	4	1	no	—
655	D₄	—	4	1	no	—
656	D₄	—	8	4	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	1	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	4	1	no	—
676	C₂×C₄	—	4	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	C₁₇×#137	1	2	yes	—
697	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
698	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
699	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
700	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
701	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
703	C₈	—	2	2	no	—
704	C₈	—	4	1	no	—
705	C₈	—	4	1	no	—
706	C₈	C₁₇×#121	1	4	yes	—
707	C₂²	—	4	1	no	—
708	C₂²	—	4	1	no	—
709	C₂²	—	4	1	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	1	no	—
712	C₂²	—	4	1	no	—
713	C₂²	—	4	1	no	—
714	C₂²	—	8	1	no	—
715	C₂²	—	8	1	no	—
716	C₂²	—	8	1	no	—
717	C₂²	—	8	1	no	—
718	C₂²	—	8	1	no	—
719	C₂²	—	8	1	no	—
720	C₂²	—	8	1	no	—
721	C₂²	C₁₇×#532	1	1	yes	characteristic
722	C₂²	D₄²×C₁₇	1	1	yes	characteristic
723	C₂²	D₄²×C₁₇	1	1	yes	characteristic
724	C₂²	C₂×C₁₇×#137	1	1	yes	characteristic
725	C₂²	C₁₇×#575	1	1	yes	characteristic
726	C₂²	C₁₇×#577	1	1	yes	characteristic
727	C₂²	C₁₇×#578	1	1	yes	characteristic
728	C₄	—	2	2	no	—
729	C₄	—	4	1	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	2	no	—
732	C₄	—	4	1	no	—
733	C₄	—	4	1	no	—
734	C₄	—	4	1	no	—
735	C₄	—	4	2	no	—
736	C₄	—	4	2	no	—
737	C₄	—	8	1	no	—
738	C₄	—	8	1	no	—
739	C₄	—	8	1	no	—
740	C₄	C₂×C₁₇×#121	1	1	yes	characteristic
741	C₄	C₁₇×#540	1	1	yes	characteristic
742	C₄	C₁₇×#546	1	1	yes	characteristic
743	C₄	C₁₇×#550	1	1	yes	characteristic
744	C₂	—	8	1	no	—
745	C₂	—	16	1	no	—
746	C₂	C₁₇×#2428	1	1	yes	characteristic
747	C₂	C₁₇×#3172	1	1	yes	characteristic
748	C₂	C₁₇×#3178	1	1	yes	characteristic
749	C₂	C₁₇×#3267	1	1	yes	characteristic
750	C₂	C₁₇×#3270	1	1	yes	characteristic
751	C₂	C₁₇×#3277	1	1	yes	characteristic
752	C₂	C₁₇×#3278	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₇
prime radical	C₂×C₁₇×#121	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ C₄×C₂²⋊C₄×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₇×#497	C₂	semidirect
2. C₂×C₁₇×#470	C₂	semidirect
4. C₂×C₄×Q₁₆×C₁₇	C₂	semidirect
5. C₁₇×#2429	C₂	semidirect
7. C₁₇×#2043	C₂	semidirect
8. C₁₇×#2042	C₂	semidirect
9. C₁₇×#2001	C₂	semidirect
11. C₁₇×#1968	C₂	semidirect
12. C₁₇×#1943	C₂	semidirect
13. C₁₇×#1880	C₂	semidirect
14. C₁₇×#1878	C₂	semidirect
15. C₁₇×#1753	C₂	semidirect
74. C₂×Q₁₆×C₁₇	D₄	semidirect
248. #25418	C₁₇	direct (N × H)
331. C₂×#497	C₂×C₁₇	semidirect
332. C₂×#470	C₂×C₁₇	semidirect
334. C₂×C₄×Q₁₆	C₂×C₁₇	semidirect
335. #2429	C₂×C₁₇	semidirect
337. #2043	C₂×C₁₇	semidirect
338. #2042	C₂×C₁₇	semidirect
339. #2001	C₂×C₁₇	semidirect
341. #1968	C₂×C₁₇	semidirect
342. #1943	C₂×C₁₇	semidirect
343. #1880	C₂×C₁₇	semidirect
344. #1878	C₂×C₁₇	semidirect
345. #1753	C₂×C₁₇	semidirect
450. C₂×Q₁₆	D₄×C₁₇	semidirect
526. C₁₇	#25418	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₇×#497	2
C₂×C₁₇×#470	2
C₂×C₁₇×#468	2
C₂×C₄×Q₁₆×C₁₇	2
C₁₇×#2429	2
C₁₇×#2426	2
C₁₇×#2043	2
C₁₇×#2042	2
C₁₇×#2001	2
C₁₇×#2000	2
C₁₇×#1968	2
C₁₇×#1943	2
C₁₇×#1880	2
C₁₇×#1878	2
C₁₇×#1753	2
#25418	17

Subgroups — C17×#25418 #16883162

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#25418 #16883162