Subgroups — C₁₇×#25507 #16883251

Order 4352.

1156 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	C₂×C₁₇×#540	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₇×#468	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₇×#465	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#2625	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#2059	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2041	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#2026	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#2014	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#1895	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#1893	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#1877	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#1877	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#1864	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#1862	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₇×#1729	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
18	C₂²×M₁₆×C₁₇	C₂²	1	1	yes	characteristic
19	C₂³×C₈×C₁₇	C₂²	1	1	yes	characteristic
20	C₁₇×#540	—	2	4	no	—
21	C₁₇×#540	—	2	4	no	—
22	C₂×C₁₇×#127	C₂²	1	1	yes	characteristic
23	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
24	C₂×C₁₇×#123	—	2	1	no	—
25	C₂×C₁₇×#123	—	2	1	no	—
26	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₁₇×#121	—	2	1	no	—
28	C₂×C₁₇×#121	—	2	1	no	—
29	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
30	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
33	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
34	C₁₇×#468	—	2	4	no	—
35	C₁₇×#465	—	2	4	no	—
36	C₂×C₁₇×#107	C₂²	1	1	yes	characteristic
37	C₂×C₁₇×#106	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×#102	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×#102	C₂²	1	1	yes	characteristic
44	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
45	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
46	C₁₇×#400	—	2	1	no	—
47	C₁₇×#398	—	2	1	no	—
48	C₁₇×#397	—	2	1	no	—
49	C₁₇×#397	—	2	1	no	—
50	C₁₇×#391	C₂²	1	1	yes	characteristic
51	C₁₇×#391	C₂²	1	1	yes	characteristic
52	C₁₇×#389	C₂²	1	1	yes	characteristic
53	C₁₇×#389	C₂²	1	1	yes	characteristic
54	C₁₇×#380	C₂²	1	1	yes	characteristic
55	C₁₇×#340	C₂²	1	1	yes	characteristic
56	C₁₇×#340	C₂²	1	1	yes	characteristic
57	C₁₇×#340	C₂²	1	1	yes	characteristic
58	C₁₇×#340	C₂²	1	1	yes	characteristic
59	C₁₇×#336	C₂²	1	1	yes	characteristic
60	C₁₇×#336	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×D₄×C₁₇	—	2	1	no	—
65	C₂²×D₄×C₁₇	—	2	1	no	—
66	C₂²×D₄×C₁₇	—	2	1	no	—
67	C₂²×D₄×C₁₇	—	2	1	no	—
68	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₇	—	2	1	no	—
71	C₂³×C₄×C₁₇	—	2	1	no	—
72	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
73	C₂×SD₁₆×C₁₇	—	2	2	no	—
74	C₂×SD₁₆×C₁₇	—	2	2	no	—
75	C₂×SD₁₆×C₁₇	—	2	2	no	—
76	C₂×SD₁₆×C₁₇	—	2	2	no	—
77	C₂×SD₁₆×C₁₇	—	4	1	no	—
78	C₂×SD₁₆×C₁₇	—	4	1	no	—
79	C₂×M₁₆×C₁₇	—	2	2	no	—
80	C₂×M₁₆×C₁₇	—	2	2	no	—
81	C₂×M₁₆×C₁₇	—	4	1	no	—
82	C₂²×C₈×C₁₇	—	2	2	no	—
83	C₂²×C₈×C₁₇	—	2	2	no	—
84	C₂²×C₈×C₁₇	—	4	1	no	—
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	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
89	C₁₇×#127	—	2	2	no	—
90	C₁₇×#127	—	2	2	no	—
91	C₁₇×#125	—	2	2	no	—
92	C₁₇×#125	—	2	2	no	—
93	C₁₇×#123	—	2	8	no	—
94	C₁₇×#123	—	2	8	no	—
95	C₁₇×C₂²⋊Q₈	—	2	2	no	—
96	C₁₇×C₂²⋊Q₈	—	2	2	no	—
97	C₁₇×#121	—	2	8	no	—
98	C₁₇×#121	—	2	8	no	—
99	C₁₇×#121	—	2	2	no	—
100	C₁₇×#121	—	2	2	no	—
101	C₁₇×#121	D₄	1	4	yes	—
102	C₁₇×#121	D₄	1	4	yes	—
103	C₄×D₄×C₁₇	—	2	2	no	—
104	C₄×D₄×C₁₇	—	2	2	no	—
105	C₄×D₄×C₁₇	—	2	2	no	—
106	C₄×D₄×C₁₇	—	2	2	no	—
107	C₁₇×#117	—	2	2	no	—
108	C₁₇×#117	—	2	2	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	—	2	1	no	—
114	C₂×C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
115	C₂×C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
117	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
118	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
119	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
120	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
127	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
128	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
129	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
130	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
131	C₁₇×#107	—	2	2	no	—
132	C₁₇×#106	—	2	2	no	—
133	C₁₇×#103	—	2	2	no	—
134	C₁₇×#103	—	2	2	no	—
135	C₁₇×#102	—	2	2	no	—
136	C₁₇×#102	—	2	2	no	—
137	C₁₇×#102	—	2	2	no	—
138	C₁₇×#102	—	2	2	no	—
139	C₁₇×#102	—	4	1	no	—
140	C₁₇×#102	—	4	1	no	—
141	C₁₇×#95	—	2	1	no	—
142	C₁₇×#95	—	2	1	no	—
143	C₁₇×#95	—	2	1	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	C₂⁴×C₁₇	—	2	1	no	—
149	C₂⁴×C₁₇	—	2	1	no	—
150	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
151	C₂×Q₈×C₁₇	—	2	1	no	—
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×D₄×C₁₇	—	2	4	no	—
158	C₂×D₄×C₁₇	—	2	4	no	—
159	C₂×D₄×C₁₇	—	2	4	no	—
160	C₂×D₄×C₁₇	—	2	4	no	—
161	C₂×D₄×C₁₇	—	2	1	no	—
162	C₂×D₄×C₁₇	—	2	1	no	—
163	C₂×D₄×C₁₇	—	2	1	no	—
164	C₂×D₄×C₁₇	—	2	1	no	—
165	C₂×D₄×C₁₇	—	2	1	no	—
166	C₂×D₄×C₁₇	—	2	1	no	—
167	C₂×D₄×C₁₇	—	2	1	no	—
168	C₂×D₄×C₁₇	—	2	1	no	—
169	C₂×D₄×C₁₇	—	2	1	no	—
170	C₂×D₄×C₁₇	—	2	1	no	—
171	C₂×D₄×C₁₇	—	8	1	no	—
172	C₂×D₄×C₁₇	—	8	1	no	—
173	C₂×D₄×C₁₇	—	8	1	no	—
174	C₂×D₄×C₁₇	—	8	1	no	—
175	C₂×D₄×C₁₇	—	8	1	no	—
176	C₂×D₄×C₁₇	—	8	1	no	—
177	C₂×D₄×C₁₇	—	8	1	no	—
178	C₂×D₄×C₁₇	—	8	1	no	—
179	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
180	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
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	4	no	—
188	C₂²×C₄×C₁₇	—	2	4	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	—	2	1	no	—
193	C₂²×C₄×C₁₇	—	8	1	no	—
194	C₂²×C₄×C₁₇	—	8	1	no	—
195	C₂²×C₄×C₁₇	—	8	1	no	—
196	C₂²×C₄×C₁₇	—	8	1	no	—
197	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₇	C₂×D₄	1	2	yes	—
203	C₂²×C₄×C₁₇	C₂×D₄	1	2	yes	—
204	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
205	SD₁₆×C₁₇	—	4	4	no	—
206	SD₁₆×C₁₇	—	4	4	no	—
207	M₁₆×C₁₇	—	4	4	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	—	2	1	no	—
212	C₂×C₈×C₁₇	—	2	1	no	—
213	C₂×C₈×C₁₇	—	2	1	no	—
214	C₂×C₈×C₁₇	—	2	1	no	—
215	C₂×C₈×C₁₇	—	2	1	no	—
216	C₂×C₈×C₁₇	—	2	1	no	—
217	C₂×C₈×C₁₇	—	2	1	no	—
218	C₂×C₈×C₁₇	—	4	4	no	—
219	C₂×C₈×C₁₇	#41	1	2	yes	—
220	C₂×C₈×C₁₇	#41	1	2	yes	—
221	C₄⋊C₄×C₁₇	—	2	4	no	—
222	C₄⋊C₄×C₁₇	—	2	4	no	—
223	C₄⋊C₄×C₁₇	—	2	2	no	—
224	C₄⋊C₄×C₁₇	—	2	2	no	—
225	C₄⋊C₄×C₁₇	—	2	1	no	—
226	C₄⋊C₄×C₁₇	—	2	1	no	—
227	C₄⋊C₄×C₁₇	—	2	1	no	—
228	C₄⋊C₄×C₁₇	—	2	1	no	—
229	C₄⋊C₄×C₁₇	—	2	1	no	—
230	C₄⋊C₄×C₁₇	—	2	1	no	—
231	C₄⋊C₄×C₁₇	—	2	1	no	—
232	C₄⋊C₄×C₁₇	—	2	1	no	—
233	C₄⋊C₄×C₁₇	—	4	2	no	—
234	C₄⋊C₄×C₁₇	—	8	1	no	—
235	C₄⋊C₄×C₁₇	—	8	1	no	—
236	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
237	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
238	C₂²⋊C₄×C₁₇	—	2	4	no	—
239	C₂²⋊C₄×C₁₇	—	2	4	no	—
240	C₂²⋊C₄×C₁₇	—	2	2	no	—
241	C₂²⋊C₄×C₁₇	—	2	2	no	—
242	C₂²⋊C₄×C₁₇	—	2	4	no	—
243	C₂²⋊C₄×C₁₇	—	2	4	no	—
244	C₂²⋊C₄×C₁₇	—	4	2	no	—
245	C₂²⋊C₄×C₁₇	—	8	1	no	—
246	C₄²×C₁₇	—	2	1	no	—
247	C₄²×C₁₇	—	2	1	no	—
248	C₄²×C₁₇	—	2	1	no	—
249	C₄²×C₁₇	—	2	1	no	—
250	#25507	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
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	—	2	1	no	—
257	C₂³×C₁₇	—	2	2	no	—
258	C₂³×C₁₇	—	2	2	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	—	4	1	no	—
264	C₂³×C₁₇	—	4	1	no	—
265	C₂³×C₁₇	—	4	1	no	—
266	C₂³×C₁₇	—	4	1	no	—
267	C₂³×C₁₇	—	4	1	no	—
268	C₂³×C₁₇	—	4	1	no	—
269	C₂³×C₁₇	—	4	1	no	—
270	C₂³×C₁₇	—	4	1	no	—
271	C₂³×C₁₇	#120	1	2	yes	—
272	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
273	Q₈×C₁₇	—	4	1	no	—
274	Q₈×C₁₇	—	4	1	no	—
275	Q₈×C₁₇	—	4	1	no	—
276	Q₈×C₁₇	—	4	1	no	—
277	D₄×C₁₇	—	2	2	no	—
278	D₄×C₁₇	—	2	2	no	—
279	D₄×C₁₇	—	2	2	no	—
280	D₄×C₁₇	—	2	2	no	—
281	D₄×C₁₇	—	4	1	no	—
282	D₄×C₁₇	—	4	1	no	—
283	D₄×C₁₇	—	4	1	no	—
284	D₄×C₁₇	—	4	1	no	—
285	D₄×C₁₇	—	8	4	no	—
286	D₄×C₁₇	—	8	4	no	—
287	D₄×C₁₇	—	8	4	no	—
288	D₄×C₁₇	—	8	4	no	—
289	C₂×C₄×C₁₇	—	2	1	no	—
290	C₂×C₄×C₁₇	—	2	1	no	—
291	C₂×C₄×C₁₇	—	2	2	no	—
292	C₂×C₄×C₁₇	—	2	2	no	—
293	C₂×C₄×C₁₇	—	2	2	no	—
294	C₂×C₄×C₁₇	—	2	2	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	—	2	2	no	—
300	C₂×C₄×C₁₇	—	2	2	no	—
301	C₂×C₄×C₁₇	—	2	1	no	—
302	C₂×C₄×C₁₇	—	2	1	no	—
303	C₂×C₄×C₁₇	—	2	1	no	—
304	C₂×C₄×C₁₇	—	2	1	no	—
305	C₂×C₄×C₁₇	—	2	1	no	—
306	C₂×C₄×C₁₇	—	2	1	no	—
307	C₂×C₄×C₁₇	—	2	1	no	—
308	C₂×C₄×C₁₇	—	2	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	—	4	1	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	—	8	4	no	—
326	C₂×C₄×C₁₇	—	8	4	no	—
327	C₂×C₄×C₁₇	#120	1	2	yes	—
328	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
329	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
330	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
331	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
332	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
333	C₂×C₄×C₁₇	2₋¹⁺⁴	1	1	yes	characteristic
334	C₈×C₁₇	—	2	2	no	—
335	C₈×C₁₇	—	2	2	no	—
336	C₈×C₁₇	—	4	1	no	—
337	C₈×C₁₇	—	4	1	no	—
338	C₂×#540	C₂×C₁₇	1	1	yes	characteristic
339	C₂×#468	C₂×C₁₇	1	1	yes	characteristic, complemented
340	C₂×#465	C₂×C₁₇	1	1	yes	characteristic, complemented
341	#2625	C₂×C₁₇	1	1	yes	characteristic, complemented
342	#2059	C₂×C₁₇	1	1	yes	characteristic, complemented
343	#2041	C₂×C₁₇	1	1	yes	characteristic, complemented
344	#2026	C₂×C₁₇	1	1	yes	characteristic, complemented
345	#2014	C₂×C₁₇	1	1	yes	characteristic, complemented
346	#1895	C₂×C₁₇	1	1	yes	characteristic, complemented
347	#1893	C₂×C₁₇	1	1	yes	characteristic, complemented
348	#1877	C₂×C₁₇	1	1	yes	characteristic, complemented
349	#1877	C₂×C₁₇	1	1	yes	characteristic, complemented
350	#1864	C₂×C₁₇	1	1	yes	characteristic, complemented
351	#1862	C₂×C₁₇	1	1	yes	characteristic, complemented
352	#1729	C₂×C₁₇	1	1	yes	characteristic, complemented
353	C₂²×C₁₇	—	2	2	no	—
354	C₂²×C₁₇	—	2	2	no	—
355	C₂²×C₁₇	—	2	2	no	—
356	C₂²×C₁₇	—	4	1	no	—
357	C₂²×C₁₇	—	4	1	no	—
358	C₂²×C₁₇	—	4	1	no	—
359	C₂²×C₁₇	—	4	1	no	—
360	C₂²×C₁₇	—	4	2	no	—
361	C₂²×C₁₇	—	4	2	no	—
362	C₂²×C₁₇	—	4	2	no	—
363	C₂²×C₁₇	—	4	2	no	—
364	C₂²×C₁₇	—	4	2	no	—
365	C₂²×C₁₇	—	4	2	no	—
366	C₂²×C₁₇	—	8	1	no	—
367	C₂²×C₁₇	—	8	1	no	—
368	C₂²×C₁₇	—	8	1	no	—
369	C₂²×C₁₇	—	8	1	no	—
370	C₂²×C₁₇	—	8	1	no	—
371	C₂²×C₁₇	—	8	1	no	—
372	C₂²×C₁₇	—	8	1	no	—
373	C₂²×C₁₇	—	8	1	no	—
374	C₂²×C₁₇	C₂×#120	1	1	yes	characteristic
375	C₂²×C₁₇	#532	1	1	yes	characteristic
376	C₂²×C₁₇	#537	1	1	yes	characteristic
377	C₂²×C₁₇	#576	1	1	yes	characteristic
378	C₂²×C₁₇	#577	1	1	yes	characteristic
379	C₂²×C₁₇	#577	1	1	yes	characteristic
380	C₂²×C₁₇	#577	1	1	yes	characteristic
381	C₄×C₁₇	—	2	2	no	—
382	C₄×C₁₇	—	4	1	no	—
383	C₄×C₁₇	—	4	1	no	—
384	C₄×C₁₇	—	4	2	no	—
385	C₄×C₁₇	—	4	1	no	—
386	C₄×C₁₇	—	4	1	no	—
387	C₄×C₁₇	—	4	2	no	—
388	C₄×C₁₇	—	8	1	no	—
389	C₄×C₁₇	—	8	1	no	—
390	C₄×C₁₇	—	8	1	no	—
391	C₄×C₁₇	—	8	1	no	—
392	C₄×C₁₇	#546	1	1	yes	characteristic
393	C₄×C₁₇	#546	1	1	yes	characteristic
394	C₄×C₁₇	#547	1	1	yes	characteristic
395	C₄×C₁₇	#547	1	1	yes	characteristic
396	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
397	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
398	C₂²×M₁₆	C₂²×C₁₇	1	1	yes	characteristic
399	C₂³×C₈	C₂²×C₁₇	1	1	yes	characteristic
400	#540	—	2	4	no	—
401	#540	—	2	4	no	—
402	C₂×#127	C₂²×C₁₇	1	1	yes	characteristic
403	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
404	C₂×#123	—	2	1	no	—
405	C₂×#123	—	2	1	no	—
406	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
407	C₂×#121	—	2	1	no	—
408	C₂×#121	—	2	1	no	—
409	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
410	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
411	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
412	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
413	C₂×#117	C₂²×C₁₇	1	1	yes	characteristic
414	#468	—	2	4	no	—
415	#465	—	2	4	no	—
416	C₂×#107	C₂²×C₁₇	1	1	yes	characteristic
417	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic
418	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
419	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
420	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
421	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
422	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
423	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
424	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
425	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
426	#400	—	2	1	no	—
427	#398	—	2	1	no	—
428	#397	—	2	1	no	—
429	#397	—	2	1	no	—
430	#391	C₂²×C₁₇	1	1	yes	characteristic
431	#391	C₂²×C₁₇	1	1	yes	characteristic
432	#389	C₂²×C₁₇	1	1	yes	characteristic
433	#389	C₂²×C₁₇	1	1	yes	characteristic
434	#380	C₂²×C₁₇	1	1	yes	characteristic
435	#340	C₂²×C₁₇	1	1	yes	characteristic
436	#340	C₂²×C₁₇	1	1	yes	characteristic
437	#340	C₂²×C₁₇	1	1	yes	characteristic
438	#340	C₂²×C₁₇	1	1	yes	characteristic
439	#336	C₂²×C₁₇	1	1	yes	characteristic
440	#336	C₂²×C₁₇	1	1	yes	characteristic
441	#336	C₂²×C₁₇	1	1	yes	characteristic
442	#336	C₂²×C₁₇	1	1	yes	characteristic
443	C₂×C₁₇	—	4	2	no	—
444	C₂×C₁₇	—	8	2	no	—
445	C₂×C₁₇	—	8	2	no	—
446	C₂×C₁₇	#2430	1	1	yes	characteristic
447	C₂×C₁₇	#3009	1	1	yes	characteristic
448	C₂×C₁₇	#3012	1	1	yes	characteristic
449	C₂×C₁₇	#3174	1	1	yes	characteristic
450	C₂×C₁₇	#3179	1	1	yes	characteristic
451	C₂×C₁₇	#3257	1	1	yes	characteristic
452	C₂×C₁₇	#3260	1	1	yes	characteristic
453	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
454	C₂²×D₄	—	2	1	no	—
455	C₂²×D₄	—	2	1	no	—
456	C₂²×D₄	—	2	1	no	—
457	C₂²×D₄	—	2	1	no	—
458	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
459	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
460	C₂³×C₄	—	2	1	no	—
461	C₂³×C₄	—	2	1	no	—
462	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
463	C₂×SD₁₆	—	2	2	no	—
464	C₂×SD₁₆	—	2	2	no	—
465	C₂×SD₁₆	—	2	2	no	—
466	C₂×SD₁₆	—	2	2	no	—
467	C₂×SD₁₆	—	4	1	no	—
468	C₂×SD₁₆	—	4	1	no	—
469	C₂×M₁₆	—	2	2	no	—
470	C₂×M₁₆	—	2	2	no	—
471	C₂×M₁₆	—	4	1	no	—
472	C₂²×C₈	—	2	2	no	—
473	C₂²×C₈	—	2	2	no	—
474	C₂²×C₈	—	4	1	no	—
475	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
476	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
477	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
478	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
479	#127	—	2	2	no	—
480	#127	—	2	2	no	—
481	#125	—	2	2	no	—
482	#125	—	2	2	no	—
483	#123	—	2	8	no	—
484	#123	—	2	8	no	—
485	C₂²⋊Q₈	—	2	2	no	—
486	C₂²⋊Q₈	—	2	2	no	—
487	#121	—	2	8	no	—
488	#121	—	2	8	no	—
489	#121	—	2	2	no	—
490	#121	—	2	2	no	—
491	#121	D₄×C₁₇	1	4	yes	—
492	#121	D₄×C₁₇	1	4	yes	—
493	C₄×D₄	—	2	2	no	—
494	C₄×D₄	—	2	2	no	—
495	C₄×D₄	—	2	2	no	—
496	C₄×D₄	—	2	2	no	—
497	#117	—	2	2	no	—
498	#117	—	2	2	no	—
499	C₂×C₄⋊C₄	—	2	1	no	—
500	C₂×C₄⋊C₄	—	2	1	no	—
501	C₂×C₄⋊C₄	—	2	1	no	—
502	C₂×C₄⋊C₄	—	2	1	no	—
503	C₂×C₄⋊C₄	—	2	1	no	—
504	C₂×C₄⋊C₄	D₄×C₁₇	1	1	yes	characteristic
505	C₂×C₄⋊C₄	D₄×C₁₇	1	1	yes	characteristic
506	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
507	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
508	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
509	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
510	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
511	C₂×C₂²⋊C₄	—	2	1	no	—
512	C₂×C₂²⋊C₄	—	2	1	no	—
513	C₂×C₂²⋊C₄	—	2	1	no	—
514	C₂×C₂²⋊C₄	—	2	1	no	—
515	C₂×C₂²⋊C₄	—	2	1	no	—
516	C₂×C₂²⋊C₄	—	2	1	no	—
517	C₂×C₂²⋊C₄	D₄×C₁₇	1	1	yes	characteristic
518	C₂×C₂²⋊C₄	D₄×C₁₇	1	1	yes	characteristic
519	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
520	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
521	#107	—	2	2	no	—
522	#106	—	2	2	no	—
523	#103	—	2	2	no	—
524	#103	—	2	2	no	—
525	#102	—	2	2	no	—
526	#102	—	2	2	no	—
527	#102	—	2	2	no	—
528	#102	—	2	2	no	—
529	#102	—	4	1	no	—
530	#102	—	4	1	no	—
531	#95	—	2	1	no	—
532	#95	—	2	1	no	—
533	#95	—	2	1	no	—
534	#95	—	2	1	no	—
535	#95	—	2	1	no	—
536	#95	—	2	1	no	—
537	#95	—	2	1	no	—
538	C₁₇	#25507	1	1	yes	characteristic, direct product factor, Sylow
539	C₂⁴	—	2	1	no	—
540	C₂⁴	—	2	1	no	—
541	C₂⁴	C₂×D₄×C₁₇	1	1	yes	characteristic
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×D₄	—	2	4	no	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	8	1	no	—
563	C₂×D₄	—	8	1	no	—
564	C₂×D₄	—	8	1	no	—
565	C₂×D₄	—	8	1	no	—
566	C₂×D₄	—	8	1	no	—
567	C₂×D₄	—	8	1	no	—
568	C₂×D₄	—	8	1	no	—
569	C₂×D₄	—	8	1	no	—
570	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
571	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	8	1	no	—
585	C₂²×C₄	—	8	1	no	—
586	C₂²×C₄	—	8	1	no	—
587	C₂²×C₄	—	8	1	no	—
588	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
589	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
590	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
592	C₂²×C₄	C₂×D₄×C₁₇	1	2	yes	—
593	C₂²×C₄	C₂×D₄×C₁₇	1	2	yes	—
594	C₂²×C₄	C₂×D₄×C₁₇	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
596	SD₁₆	—	4	4	no	—
597	SD₁₆	—	4	4	no	—
598	M₁₆	—	4	4	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	—	4	4	no	—
610	C₂×C₈	#41×C₁₇	1	2	yes	—
611	C₂×C₈	#41×C₁₇	1	2	yes	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	2	no	—
617	C₄⋊C₄	—	2	2	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	4	2	no	—
625	C₄⋊C₄	—	8	1	no	—
626	C₄⋊C₄	—	8	1	no	—
627	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
628	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	—	4	2	no	—
636	C₂²⋊C₄	—	8	1	no	—
637	C₄²	—	2	1	no	—
638	C₄²	—	2	1	no	—
639	C₄²	—	2	1	no	—
640	C₄²	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	2	2	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	1	no	—
655	C₂³	—	4	1	no	—
656	C₂³	—	4	1	no	—
657	C₂³	—	4	1	no	—
658	C₂³	—	4	1	no	—
659	C₂³	—	4	1	no	—
660	C₂³	—	4	1	no	—
661	C₂³	C₁₇×#120	1	2	yes	—
662	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
663	Q₈	—	4	1	no	—
664	Q₈	—	4	1	no	—
665	Q₈	—	4	1	no	—
666	Q₈	—	4	1	no	—
667	D₄	—	2	2	no	—
668	D₄	—	2	2	no	—
669	D₄	—	2	2	no	—
670	D₄	—	2	2	no	—
671	D₄	—	4	1	no	—
672	D₄	—	4	1	no	—
673	D₄	—	4	1	no	—
674	D₄	—	4	1	no	—
675	D₄	—	8	4	no	—
676	D₄	—	8	4	no	—
677	D₄	—	8	4	no	—
678	D₄	—	8	4	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	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	—	8	4	no	—
716	C₂×C₄	—	8	4	no	—
717	C₂×C₄	C₁₇×#120	1	2	yes	—
718	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
719	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
720	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
721	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
722	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
723	C₂×C₄	C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
724	C₈	—	2	2	no	—
725	C₈	—	2	2	no	—
726	C₈	—	4	1	no	—
727	C₈	—	4	1	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	2	2	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	1	no	—
735	C₂²	—	4	2	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	2	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	8	1	no	—
742	C₂²	—	8	1	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	8	1	no	—
746	C₂²	—	8	1	no	—
747	C₂²	—	8	1	no	—
748	C₂²	—	8	1	no	—
749	C₂²	C₂×C₁₇×#120	1	1	yes	characteristic
750	C₂²	C₁₇×#532	1	1	yes	characteristic
751	C₂²	C₁₇×#537	1	1	yes	characteristic
752	C₂²	C₁₇×#576	1	1	yes	characteristic
753	C₂²	C₁₇×#577	1	1	yes	characteristic
754	C₂²	C₁₇×#577	1	1	yes	characteristic
755	C₂²	C₁₇×#577	1	1	yes	characteristic
756	C₄	—	2	2	no	—
757	C₄	—	4	1	no	—
758	C₄	—	4	1	no	—
759	C₄	—	4	2	no	—
760	C₄	—	4	1	no	—
761	C₄	—	4	1	no	—
762	C₄	—	4	2	no	—
763	C₄	—	8	1	no	—
764	C₄	—	8	1	no	—
765	C₄	—	8	1	no	—
766	C₄	—	8	1	no	—
767	C₄	C₁₇×#546	1	1	yes	characteristic
768	C₄	C₁₇×#546	1	1	yes	characteristic
769	C₄	C₁₇×#547	1	1	yes	characteristic
770	C₄	C₁₇×#547	1	1	yes	characteristic
771	C₂	—	4	2	no	—
772	C₂	—	8	2	no	—
773	C₂	—	8	2	no	—
774	C₂	C₁₇×#2430	1	1	yes	characteristic
775	C₂	C₁₇×#3009	1	1	yes	characteristic
776	C₂	C₁₇×#3012	1	1	yes	characteristic
777	C₂	C₁₇×#3174	1	1	yes	characteristic
778	C₂	C₁₇×#3179	1	1	yes	characteristic
779	C₂	C₁₇×#3257	1	1	yes	characteristic
780	C₂	C₁₇×#3260	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₇
prime radical	C₂×C₁₇×#540	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ C₂×C₁₇×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₇×#468	C₂	semidirect
3. C₂×C₁₇×#465	C₂	semidirect
4. C₁₇×#2625	C₂	semidirect
5. C₁₇×#2059	C₂	semidirect
6. C₁₇×#2041	C₂	semidirect
7. C₁₇×#2026	C₂	semidirect
8. C₁₇×#2014	C₂	semidirect
9. C₁₇×#1895	C₂	semidirect
10. C₁₇×#1893	C₂	semidirect
11. C₁₇×#1877	C₂	semidirect
12. C₁₇×#1877	C₂	semidirect
13. C₁₇×#1864	C₂	semidirect
14. C₁₇×#1862	C₂	semidirect
15. C₁₇×#1729	C₂	semidirect
250. #25507	C₁₇	direct (N × H)
339. C₂×#468	C₂×C₁₇	semidirect
340. C₂×#465	C₂×C₁₇	semidirect
341. #2625	C₂×C₁₇	semidirect
342. #2059	C₂×C₁₇	semidirect
343. #2041	C₂×C₁₇	semidirect
344. #2026	C₂×C₁₇	semidirect
345. #2014	C₂×C₁₇	semidirect
346. #1895	C₂×C₁₇	semidirect
347. #1893	C₂×C₁₇	semidirect
348. #1877	C₂×C₁₇	semidirect
349. #1877	C₂×C₁₇	semidirect
350. #1864	C₂×C₁₇	semidirect
351. #1862	C₂×C₁₇	semidirect
352. #1729	C₂×C₁₇	semidirect
538. C₁₇	#25507	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×#540	2
C₂×C₁₇×#468	2
C₂×C₁₇×#465	2
C₁₇×#2625	2
C₁₇×#2059	2
C₁₇×#2041	2
C₁₇×#2026	2
C₁₇×#2014	2
C₁₇×#1895	2
C₁₇×#1893	2
C₁₇×#1877	2
C₁₇×#1864	2
C₁₇×#1862	2
C₁₇×#1729	2
#25507	17

Subgroups — C17×#25507 #16883251

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#25507 #16883251