Subgroups — C₁₇×#25500 #16883244

Order 4352.

1226 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₇×#466	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₇×#465	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#2854	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₇×#2059	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2042	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#2025	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₇×#2012	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#1893	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₇×#1892	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#1880	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#1879	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#1864	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₇×#1863	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₇×#336	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic
17	C₂²×D₈×C₁₇	C₂²	1	1	yes	characteristic
18	C₂³×C₈×C₁₇	C₂²	1	1	yes	characteristic
19	C₂³×C₈×C₁₇	C₂²	1	1	yes	characteristic
20	C₁₇×#529	—	2	4	no	—
21	C₁₇×#529	—	2	4	no	—
22	C₂×C₁₇×#126	—	2	1	no	—
23	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
24	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic
25	C₂×C₁₇×#123	—	2	1	no	—
26	C₂×C₁₇×#123	—	2	1	no	—
27	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
29	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₇	—	2	1	no	—
32	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
33	C₂×C₁₇×#117	—	2	1	no	—
34	C₂²×C₄²×C₁₇	C₂²	1	1	yes	characteristic
35	C₁₇×#466	—	2	4	no	—
36	C₁₇×#465	—	2	4	no	—
37	C₂×C₁₇×#107	C₂²	1	1	yes	characteristic
38	C₂×C₁₇×#106	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×#103	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	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic
47	C₁₇×#390	C₂²	1	1	yes	characteristic
48	C₁₇×#390	C₂²	1	1	yes	characteristic
49	C₁₇×#389	C₂²	1	1	yes	characteristic
50	C₁₇×#389	C₂²	1	1	yes	characteristic
51	C₁₇×#388	—	2	1	no	—
52	C₁₇×#388	—	2	1	no	—
53	C₁₇×#386	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
67	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₇	—	2	1	no	—
69	C₂³×C₄×C₁₇	D₄	1	1	yes	characteristic
70	C₂³×C₄×C₁₇	D₄	1	1	yes	characteristic
71	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
72	C₂×SD₁₆×C₁₇	—	2	2	no	—
73	C₂×SD₁₆×C₁₇	—	2	2	no	—
74	C₂×SD₁₆×C₁₇	—	4	1	no	—
75	C₂×D₈×C₁₇	—	2	2	no	—
76	C₂×D₈×C₁₇	—	2	2	no	—
77	C₂×D₈×C₁₇	—	4	1	no	—
78	C₂²×C₈×C₁₇	—	2	2	no	—
79	C₂²×C₈×C₁₇	—	2	2	no	—
80	C₂²×C₈×C₁₇	—	2	2	no	—
81	C₂²×C₈×C₁₇	—	2	2	no	—
82	C₂²×C₈×C₁₇	—	4	1	no	—
83	C₂²×C₈×C₁₇	—	4	1	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×#126	—	2	8	no	—
89	C₁₇×#125	—	2	2	no	—
90	C₁₇×#125	—	2	2	no	—
91	C₁₇×#124	—	2	2	no	—
92	C₁₇×#124	—	2	2	no	—
93	C₁₇×#123	—	2	8	no	—
94	C₁₇×#123	—	4	4	no	—
95	C₁₇×C₂²⋊Q₈	—	2	2	no	—
96	C₁₇×C₂²⋊Q₈	D₄	1	4	yes	—
97	C₁₇×#121	—	2	2	no	—
98	C₁₇×#121	—	2	2	no	—
99	C₁₇×#121	—	2	2	no	—
100	C₁₇×#121	D₄	1	4	yes	—
101	C₄×Q₈×C₁₇	—	2	2	no	—
102	C₄×Q₈×C₁₇	—	2	2	no	—
103	C₄×D₄×C₁₇	—	2	8	no	—
104	C₄×D₄×C₁₇	—	2	2	no	—
105	C₄×D₄×C₁₇	—	2	2	no	—
106	C₁₇×#117	—	2	8	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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
127	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
128	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
129	C₂×C₄²×C₁₇	—	2	2	no	—
130	C₂×C₄²×C₁₇	—	2	2	no	—
131	C₂×C₄²×C₁₇	—	2	1	no	—
132	C₂×C₄²×C₁₇	D₄	1	1	yes	characteristic
133	C₂×C₄²×C₁₇	D₄	1	1	yes	characteristic
134	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
136	C₁₇×#107	—	2	2	no	—
137	C₁₇×#106	—	2	2	no	—
138	C₁₇×#103	—	2	2	no	—
139	C₁₇×#103	—	2	2	no	—
140	C₁₇×#103	—	4	1	no	—
141	C₁₇×#102	—	2	2	no	—
142	C₁₇×#102	—	2	2	no	—
143	C₁₇×#102	—	2	2	no	—
144	C₁₇×#102	—	2	2	no	—
145	C₁₇×#102	—	4	1	no	—
146	C₁₇×#95	—	2	1	no	—
147	C₁₇×#95	—	2	1	no	—
148	C₁₇×#95	—	2	1	no	—
149	C₂⁴×C₁₇	—	2	1	no	—
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	C₂×D₄	1	2	yes	—
158	C₂×D₄×C₁₇	—	2	4	no	—
159	C₂×D₄×C₁₇	—	2	1	no	—
160	C₂×D₄×C₁₇	—	2	1	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	—	4	2	no	—
171	C₂×D₄×C₁₇	—	4	2	no	—
172	C₂×D₄×C₁₇	—	4	2	no	—
173	C₂×D₄×C₁₇	—	4	2	no	—
174	C₂×D₄×C₁₇	—	4	2	no	—
175	C₂×D₄×C₁₇	C₂×D₄	1	2	yes	—
176	C₂²×C₄×C₁₇	—	2	1	no	—
177	C₂²×C₄×C₁₇	—	2	1	no	—
178	C₂²×C₄×C₁₇	—	2	1	no	—
179	C₂²×C₄×C₁₇	—	2	1	no	—
180	C₂²×C₄×C₁₇	—	2	4	no	—
181	C₂²×C₄×C₁₇	—	2	2	no	—
182	C₂²×C₄×C₁₇	—	2	2	no	—
183	C₂²×C₄×C₁₇	—	2	2	no	—
184	C₂²×C₄×C₁₇	—	2	2	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	2	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	—	4	1	no	—
193	C₂²×C₄×C₁₇	—	4	2	no	—
194	C₂²×C₄×C₁₇	—	4	2	no	—
195	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
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	2	yes	—
200	C₂²×C₄×C₁₇	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
203	SD₁₆×C₁₇	—	4	4	no	—
204	D₈×C₁₇	—	4	4	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	—	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	—	4	4	no	—
216	C₂×C₈×C₁₇	—	4	4	no	—
217	C₂×C₈×C₁₇	#41	1	2	yes	—
218	C₂×C₈×C₁₇	#41	1	2	yes	—
219	C₄⋊C₄×C₁₇	—	2	4	no	—
220	C₄⋊C₄×C₁₇	—	2	4	no	—
221	C₄⋊C₄×C₁₇	—	2	4	no	—
222	C₄⋊C₄×C₁₇	—	2	4	no	—
223	C₄⋊C₄×C₁₇	—	2	1	no	—
224	C₄⋊C₄×C₁₇	—	2	1	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	—	4	2	no	—
232	C₄⋊C₄×C₁₇	—	4	2	no	—
233	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
234	C₄⋊C₄×C₁₇	C₂×D₄	1	2	yes	—
235	C₂²⋊C₄×C₁₇	—	2	4	no	—
236	C₂²⋊C₄×C₁₇	—	2	4	no	—
237	C₂²⋊C₄×C₁₇	—	2	4	no	—
238	C₂²⋊C₄×C₁₇	—	2	4	no	—
239	C₂²⋊C₄×C₁₇	—	2	4	no	—
240	C₂²⋊C₄×C₁₇	—	4	2	no	—
241	C₂²⋊C₄×C₁₇	—	4	2	no	—
242	C₂²⋊C₄×C₁₇	—	4	2	no	—
243	C₂²⋊C₄×C₁₇	—	4	2	no	—
244	C₂²⋊C₄×C₁₇	—	4	2	no	—
245	C₂²⋊C₄×C₁₇	—	4	2	no	—
246	C₄²×C₁₇	—	2	4	no	—
247	C₄²×C₁₇	—	2	2	no	—
248	C₄²×C₁₇	—	2	2	no	—
249	C₄²×C₁₇	—	2	1	no	—
250	C₄²×C₁₇	—	2	1	no	—
251	C₄²×C₁₇	—	2	1	no	—
252	C₄²×C₁₇	—	2	1	no	—
253	#25500	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
254	C₂³×C₁₇	—	2	1	no	—
255	C₂³×C₁₇	—	2	1	no	—
256	C₂³×C₁₇	—	2	1	no	—
257	C₂³×C₁₇	—	2	1	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	—	4	1	no	—
272	C₂³×C₁₇	#120	1	2	yes	—
273	C₂³×C₁₇	#135	1	2	yes	—
274	C₂³×C₁₇	AGL(1,ℤ/8)	1	2	yes	—
275	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
276	Q₈×C₁₇	—	2	2	no	—
277	Q₈×C₁₇	—	2	2	no	—
278	Q₈×C₁₇	—	4	1	no	—
279	Q₈×C₁₇	—	4	1	no	—
280	D₄×C₁₇	—	2	2	no	—
281	D₄×C₁₇	—	2	2	no	—
282	D₄×C₁₇	—	4	8	no	—
283	D₄×C₁₇	—	4	1	no	—
284	D₄×C₁₇	—	4	1	no	—
285	D₄×C₁₇	—	4	1	no	—
286	D₄×C₁₇	—	4	1	no	—
287	D₄×C₁₇	—	4	1	no	—
288	D₄×C₁₇	—	4	1	no	—
289	D₄×C₁₇	—	8	4	no	—
290	C₂×C₄×C₁₇	—	2	1	no	—
291	C₂×C₄×C₁₇	—	2	1	no	—
292	C₂×C₄×C₁₇	—	2	1	no	—
293	C₂×C₄×C₁₇	—	2	1	no	—
294	C₂×C₄×C₁₇	—	2	2	no	—
295	C₂×C₄×C₁₇	—	2	2	no	—
296	C₂×C₄×C₁₇	—	2	2	no	—
297	C₂×C₄×C₁₇	—	2	2	no	—
298	C₂×C₄×C₁₇	—	2	1	no	—
299	C₂×C₄×C₁₇	—	2	1	no	—
300	C₂×C₄×C₁₇	—	2	1	no	—
301	C₂×C₄×C₁₇	—	2	2	no	—
302	C₂×C₄×C₁₇	—	2	2	no	—
303	C₂×C₄×C₁₇	—	2	2	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	—	2	1	no	—
310	C₂×C₄×C₁₇	—	4	4	no	—
311	C₂×C₄×C₁₇	—	4	8	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	4	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	—	4	1	no	—
326	C₂×C₄×C₁₇	—	4	1	no	—
327	C₂×C₄×C₁₇	—	4	1	no	—
328	C₂×C₄×C₁₇	#120	1	2	yes	—
329	C₂×C₄×C₁₇	#135	1	2	yes	—
330	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
331	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
333	C₂×C₄×C₁₇	C₂×#41	1	1	yes	characteristic
334	C₂×C₄×C₁₇	H(5,𝔽₂)	1	1	yes	characteristic
335	C₂×C₄×C₁₇	2₋¹⁺⁴	1	1	yes	characteristic
336	C₈×C₁₇	—	2	2	no	—
337	C₈×C₁₇	—	2	2	no	—
338	C₈×C₁₇	—	4	1	no	—
339	C₈×C₁₇	—	4	1	no	—
340	C₂×#529	C₂×C₁₇	1	1	yes	characteristic, complemented
341	C₂×#466	C₂×C₁₇	1	1	yes	characteristic
342	C₂×#465	C₂×C₁₇	1	1	yes	characteristic, complemented
343	#2854	C₂×C₁₇	1	1	yes	characteristic, complemented
344	#2059	C₂×C₁₇	1	1	yes	characteristic, complemented
345	#2042	C₂×C₁₇	1	1	yes	characteristic, complemented
346	#2025	C₂×C₁₇	1	1	yes	characteristic, complemented
347	#2012	C₂×C₁₇	1	1	yes	characteristic, complemented
348	#1893	C₂×C₁₇	1	1	yes	characteristic, complemented
349	#1892	C₂×C₁₇	1	1	yes	characteristic, complemented
350	#1880	C₂×C₁₇	1	1	yes	characteristic, complemented
351	#1879	C₂×C₁₇	1	1	yes	characteristic, complemented
352	#1864	C₂×C₁₇	1	1	yes	characteristic, complemented
353	#1863	C₂×C₁₇	1	1	yes	characteristic, complemented
354	C₂×#336	C₂×C₁₇	1	1	yes	characteristic, complemented
355	C₂²×C₁₇	—	2	2	no	—
356	C₂²×C₁₇	—	2	2	no	—
357	C₂²×C₁₇	—	2	2	no	—
358	C₂²×C₁₇	—	2	2	no	—
359	C₂²×C₁₇	—	2	2	no	—
360	C₂²×C₁₇	—	2	2	no	—
361	C₂²×C₁₇	—	4	2	no	—
362	C₂²×C₁₇	—	4	2	no	—
363	C₂²×C₁₇	—	4	2	no	—
364	C₂²×C₁₇	—	8	1	no	—
365	C₂²×C₁₇	—	8	1	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	—	8	1	no	—
375	C₂²×C₁₇	#449	1	4	yes	—
376	C₂²×C₁₇	C₂×#120	1	1	yes	characteristic
377	C₂²×C₁₇	#532	1	1	yes	characteristic
378	C₂²×C₁₇	#537	1	1	yes	characteristic
379	C₂²×C₁₇	C₂×#135	1	1	yes	characteristic
380	C₂²×C₁₇	C₂×#135	1	1	yes	characteristic
381	C₂²×C₁₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
382	C₂²×C₁₇	#575	1	1	yes	characteristic
383	C₄×C₁₇	—	2	2	no	—
384	C₄×C₁₇	—	2	2	no	—
385	C₄×C₁₇	—	4	2	no	—
386	C₄×C₁₇	—	4	1	no	—
387	C₄×C₁₇	—	4	1	no	—
388	C₄×C₁₇	—	4	2	no	—
389	C₄×C₁₇	—	4	1	no	—
390	C₄×C₁₇	—	4	2	no	—
391	C₄×C₁₇	—	8	1	no	—
392	C₄×C₁₇	—	8	1	no	—
393	C₄×C₁₇	—	8	1	no	—
394	C₄×C₁₇	#546	1	1	yes	characteristic
395	C₄×C₁₇	#546	1	1	yes	characteristic
396	C₄×C₁₇	#547	1	1	yes	characteristic
397	C₄×C₁₇	#547	1	1	yes	characteristic
398	C₂²×SD₁₆	C₂²×C₁₇	1	1	yes	characteristic
399	C₂²×D₈	C₂²×C₁₇	1	1	yes	characteristic
400	C₂³×C₈	C₂²×C₁₇	1	1	yes	characteristic
401	C₂³×C₈	C₂²×C₁₇	1	1	yes	characteristic
402	#529	—	2	4	no	—
403	#529	—	2	4	no	—
404	C₂×#126	—	2	1	no	—
405	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
406	C₂×#124	C₂²×C₁₇	1	1	yes	characteristic
407	C₂×#123	—	2	1	no	—
408	C₂×#123	—	2	1	no	—
409	C₂×C₂²⋊Q₈	C₂²×C₁₇	1	1	yes	characteristic
410	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
411	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
412	C₂×C₄×Q₈	C₂²×C₁₇	1	1	yes	characteristic
413	C₂×C₄×D₄	—	2	1	no	—
414	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
415	C₂×#117	—	2	1	no	—
416	C₂²×C₄²	C₂²×C₁₇	1	1	yes	characteristic
417	#466	—	2	4	no	—
418	#465	—	2	4	no	—
419	C₂×#107	C₂²×C₁₇	1	1	yes	characteristic
420	C₂×#106	C₂²×C₁₇	1	1	yes	characteristic
421	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
422	C₂×#103	C₂²×C₁₇	1	1	yes	characteristic
423	C₂×#103	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	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
427	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
428	C₂×#102	C₂²×C₁₇	1	1	yes	characteristic
429	#390	C₂²×C₁₇	1	1	yes	characteristic
430	#390	C₂²×C₁₇	1	1	yes	characteristic
431	#389	C₂²×C₁₇	1	1	yes	characteristic
432	#389	C₂²×C₁₇	1	1	yes	characteristic
433	#388	—	2	1	no	—
434	#388	—	2	1	no	—
435	#386	—	2	1	no	—
436	#380	C₂²×C₁₇	1	1	yes	characteristic
437	#340	C₂²×C₁₇	1	1	yes	characteristic
438	#340	C₂²×C₁₇	1	1	yes	characteristic
439	#340	C₂²×C₁₇	1	1	yes	characteristic
440	#340	C₂²×C₁₇	1	1	yes	characteristic
441	#336	C₂²×C₁₇	1	1	yes	characteristic
442	#336	C₂²×C₁₇	1	1	yes	characteristic
443	#336	C₂²×C₁₇	1	1	yes	characteristic
444	#336	C₂²×C₁₇	1	1	yes	characteristic
445	C₂×C₁₇	—	2	4	no	—
446	C₂×C₁₇	—	8	2	no	—
447	C₂×C₁₇	—	16	1	no	—
448	C₂×C₁₇	#2430	1	1	yes	characteristic
449	C₂×C₁₇	C₂×#449	1	1	yes	characteristic
450	C₂×C₁₇	#3002	1	1	yes	characteristic
451	C₂×C₁₇	#3168	1	1	yes	characteristic
452	C₂×C₁₇	#3180	1	1	yes	characteristic
453	C₂×C₁₇	#3247	1	1	yes	characteristic
454	C₂×C₁₇	#3250	1	1	yes	characteristic
455	C₂²×Q₈	C₂³×C₁₇	1	1	yes	characteristic
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	D₄×C₁₇	1	1	yes	characteristic
462	C₂³×C₄	D₄×C₁₇	1	1	yes	characteristic
463	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
464	C₂×SD₁₆	—	2	2	no	—
465	C₂×SD₁₆	—	2	2	no	—
466	C₂×SD₁₆	—	4	1	no	—
467	C₂×D₈	—	2	2	no	—
468	C₂×D₈	—	2	2	no	—
469	C₂×D₈	—	4	1	no	—
470	C₂²×C₈	—	2	2	no	—
471	C₂²×C₈	—	2	2	no	—
472	C₂²×C₈	—	2	2	no	—
473	C₂²×C₈	—	2	2	no	—
474	C₂²×C₈	—	4	1	no	—
475	C₂²×C₈	—	4	1	no	—
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	C₂²×C₈	C₂³×C₁₇	1	1	yes	characteristic
480	#126	—	2	8	no	—
481	#125	—	2	2	no	—
482	#125	—	2	2	no	—
483	#124	—	2	2	no	—
484	#124	—	2	2	no	—
485	#123	—	2	8	no	—
486	#123	—	4	4	no	—
487	C₂²⋊Q₈	—	2	2	no	—
488	C₂²⋊Q₈	D₄×C₁₇	1	4	yes	—
489	#121	—	2	2	no	—
490	#121	—	2	2	no	—
491	#121	—	2	2	no	—
492	#121	D₄×C₁₇	1	4	yes	—
493	C₄×Q₈	—	2	2	no	—
494	C₄×Q₈	—	2	2	no	—
495	C₄×D₄	—	2	8	no	—
496	C₄×D₄	—	2	2	no	—
497	C₄×D₄	—	2	2	no	—
498	#117	—	2	8	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	—	2	1	no	—
505	C₂×C₄⋊C₄	C₂³×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×C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
518	C₂×C₂²⋊C₄	—	2	1	no	—
519	C₂×C₂²⋊C₄	—	2	1	no	—
520	C₂×C₂²⋊C₄	—	2	1	no	—
521	C₂×C₄²	—	2	1	no	—
522	C₂×C₄²	—	2	2	no	—
523	C₂×C₄²	—	2	2	no	—
524	C₂×C₄²	D₄×C₁₇	1	1	yes	characteristic
525	C₂×C₄²	D₄×C₁₇	1	1	yes	characteristic
526	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
527	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
528	#107	—	2	2	no	—
529	#106	—	2	2	no	—
530	#103	—	2	2	no	—
531	#103	—	2	2	no	—
532	#103	—	4	1	no	—
533	#102	—	2	2	no	—
534	#102	—	2	2	no	—
535	#102	—	2	2	no	—
536	#102	—	2	2	no	—
537	#102	—	4	1	no	—
538	#95	—	2	1	no	—
539	#95	—	2	1	no	—
540	#95	—	2	1	no	—
541	C₁₇	#25500	1	1	yes	characteristic, direct product factor, Sylow
542	C₂⁴	—	2	1	no	—
543	C₂⁴	—	2	1	no	—
544	C₂⁴	C₂×D₄×C₁₇	1	1	yes	characteristic
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	—	2	1	no	—
549	C₂×Q₈	—	2	1	no	—
550	C₂×Q₈	C₂×D₄×C₁₇	1	2	yes	—
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	—	2	1	no	—
563	C₂×D₄	—	4	2	no	—
564	C₂×D₄	—	4	2	no	—
565	C₂×D₄	—	4	2	no	—
566	C₂×D₄	—	4	2	no	—
567	C₂×D₄	—	4	2	no	—
568	C₂×D₄	C₂×D₄×C₁₇	1	2	yes	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	4	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	4	1	no	—
586	C₂²×C₄	—	4	2	no	—
587	C₂²×C₄	—	4	2	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	D₈	—	4	4	no	—
598	C₂×C₈	—	2	1	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	—	4	4	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	4	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	4	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	—	4	2	no	—
626	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
627	C₄⋊C₄	C₂×D₄×C₁₇	1	2	yes	—
628	C₂²⋊C₄	—	2	4	no	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	—	4	2	no	—
634	C₂²⋊C₄	—	4	2	no	—
635	C₂²⋊C₄	—	4	2	no	—
636	C₂²⋊C₄	—	4	2	no	—
637	C₂²⋊C₄	—	4	2	no	—
638	C₂²⋊C₄	—	4	2	no	—
639	C₄²	—	2	4	no	—
640	C₄²	—	2	1	no	—
641	C₄²	—	2	1	no	—
642	C₄²	—	2	1	no	—
643	C₄²	—	2	1	no	—
644	C₄²	—	2	2	no	—
645	C₄²	—	2	2	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	2	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	—	4	1	no	—
662	C₂³	—	4	1	no	—
663	C₂³	—	4	1	no	—
664	C₂³	C₁₇×#120	1	2	yes	—
665	C₂³	C₁₇×#135	1	2	yes	—
666	C₂³	C₁₇×AGL(1,ℤ/8)	1	2	yes	—
667	C₂³	C₂²×D₄×C₁₇	1	1	yes	characteristic
668	Q₈	—	2	2	no	—
669	Q₈	—	2	2	no	—
670	Q₈	—	4	1	no	—
671	Q₈	—	4	1	no	—
672	D₄	—	2	2	no	—
673	D₄	—	2	2	no	—
674	D₄	—	4	8	no	—
675	D₄	—	4	1	no	—
676	D₄	—	4	1	no	—
677	D₄	—	4	1	no	—
678	D₄	—	4	1	no	—
679	D₄	—	4	1	no	—
680	D₄	—	4	1	no	—
681	D₄	—	8	4	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	4	4	no	—
703	C₂×C₄	—	4	8	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	4	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	C₁₇×#120	1	2	yes	—
721	C₂×C₄	C₁₇×#135	1	2	yes	—
722	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
723	C₂×C₄	C₂²×D₄×C₁₇	1	1	yes	characteristic
724	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
725	C₂×C₄	C₂×#41×C₁₇	1	1	yes	characteristic
726	C₂×C₄	C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
727	C₂×C₄	C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
728	C₈	—	2	2	no	—
729	C₈	—	2	2	no	—
730	C₈	—	4	1	no	—
731	C₈	—	4	1	no	—
732	C₂²	—	2	2	no	—
733	C₂²	—	2	2	no	—
734	C₂²	—	2	2	no	—
735	C₂²	—	2	2	no	—
736	C₂²	—	2	2	no	—
737	C₂²	—	2	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	—	8	1	no	—
750	C₂²	—	8	1	no	—
751	C₂²	—	8	1	no	—
752	C₂²	C₁₇×#449	1	4	yes	—
753	C₂²	C₂×C₁₇×#120	1	1	yes	characteristic
754	C₂²	C₁₇×#532	1	1	yes	characteristic
755	C₂²	C₁₇×#537	1	1	yes	characteristic
756	C₂²	C₂×C₁₇×#135	1	1	yes	characteristic
757	C₂²	C₂×C₁₇×#135	1	1	yes	characteristic
758	C₂²	C₂×C₁₇×AGL(1,ℤ/8)	1	1	yes	characteristic
759	C₂²	C₁₇×#575	1	1	yes	characteristic
760	C₄	—	2	2	no	—
761	C₄	—	2	2	no	—
762	C₄	—	4	1	no	—
763	C₄	—	4	1	no	—
764	C₄	—	4	2	no	—
765	C₄	—	4	1	no	—
766	C₄	—	4	2	no	—
767	C₄	—	4	2	no	—
768	C₄	—	8	1	no	—
769	C₄	—	8	1	no	—
770	C₄	—	8	1	no	—
771	C₄	C₁₇×#546	1	1	yes	characteristic
772	C₄	C₁₇×#546	1	1	yes	characteristic
773	C₄	C₁₇×#547	1	1	yes	characteristic
774	C₄	C₁₇×#547	1	1	yes	characteristic
775	C₂	—	2	4	no	—
776	C₂	—	8	2	no	—
777	C₂	—	16	1	no	—
778	C₂	C₁₇×#2430	1	1	yes	characteristic
779	C₂	C₂×C₁₇×#449	1	1	yes	characteristic
780	C₂	C₁₇×#3002	1	1	yes	characteristic
781	C₂	C₁₇×#3168	1	1	yes	characteristic
782	C₂	C₁₇×#3180	1	1	yes	characteristic
783	C₂	C₁₇×#3247	1	1	yes	characteristic
784	C₂	C₁₇×#3250	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₇
prime radical	C₂×C₁₇×#466	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ C₂²×C₄²×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₇×#529	C₂	semidirect
3. C₂×C₁₇×#465	C₂	semidirect
4. C₁₇×#2854	C₂	semidirect
5. C₁₇×#2059	C₂	semidirect
6. C₁₇×#2042	C₂	semidirect
7. C₁₇×#2025	C₂	semidirect
8. C₁₇×#2012	C₂	semidirect
9. C₁₇×#1893	C₂	semidirect
10. C₁₇×#1892	C₂	semidirect
11. C₁₇×#1880	C₂	semidirect
12. C₁₇×#1879	C₂	semidirect
13. C₁₇×#1864	C₂	semidirect
14. C₁₇×#1863	C₂	semidirect
15. C₂×C₁₇×#336	C₂	semidirect
253. #25500	C₁₇	direct (N × H)
340. C₂×#529	C₂×C₁₇	semidirect
342. C₂×#465	C₂×C₁₇	semidirect
343. #2854	C₂×C₁₇	semidirect
344. #2059	C₂×C₁₇	semidirect
345. #2042	C₂×C₁₇	semidirect
346. #2025	C₂×C₁₇	semidirect
347. #2012	C₂×C₁₇	semidirect
348. #1893	C₂×C₁₇	semidirect
349. #1892	C₂×C₁₇	semidirect
350. #1880	C₂×C₁₇	semidirect
351. #1879	C₂×C₁₇	semidirect
352. #1864	C₂×C₁₇	semidirect
353. #1863	C₂×C₁₇	semidirect
354. C₂×#336	C₂×C₁₇	semidirect
541. C₁₇	#25500	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×#529	2
C₂×C₁₇×#466	2
C₂×C₁₇×#465	2
C₁₇×#2854	2
C₁₇×#2059	2
C₁₇×#2042	2
C₁₇×#2025	2
C₁₇×#2012	2
C₁₇×#1893	2
C₁₇×#1892	2
C₁₇×#1880	2
C₁₇×#1879	2
C₁₇×#1864	2
C₁₇×#1863	2
C₂×C₁₇×#336	2
#25500	17

Subgroups — C17×#25500 #16883244

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#25500 #16883244