Subgroups — C₁₇×#34305 #16892049

Order 4352.

2480 conjugacy classes of subgroups.

The subgroup lattice has 1052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₇×#553	C₂	1	1	yes	maximal, characteristic
2	C₁₇×#2373	C₂	1	2	yes	maximal, complemented
3	C₁₇×#2370	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₇×#2364	C₂	1	2	yes	maximal, complemented
5	C₁₇×#2361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₇×#2361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₇×#2359	C₂	1	2	yes	maximal, complemented
8	C₁₇×#2354	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₇×#2349	C₂	1	2	yes	maximal, complemented
10	D₄×C₄⋊C₄×C₁₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₇×#2346	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₇×#2345	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₇×#2335	C₂	1	2	yes	maximal, complemented
14	C₁₇×#2334	C₂	1	2	yes	maximal, complemented
15	C₁₇×#2330	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₇×#2324	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₇×#121	C₂	1	2	yes	maximal, complemented
19	C₁₇×#2290	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₇×#2290	C₂	1	2	yes	maximal, complemented
21	C₁₇×#2275	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₇×#2274	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₄⋊C₄×C₁₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₇×#553	C₄	1	16	yes	complemented
25	C₂×C₁₇×#126	C₂²	1	2	yes	—
26	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₇×#123	C₂²	1	2	yes	—
28	C₂×C₁₇×#121	C₂²	1	1	yes	characteristic
29	C₂×C₁₇×#121	C₂²	1	2	yes	—
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×C₄×D₄×C₁₇	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₇	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₇	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₇	C₂²	1	2	yes	—
37	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₇	C₂²	1	2	yes	—
40	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
41	C₂×C₁₇×#117	C₂²	1	2	yes	—
42	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
43	C₂²×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
44	C₂²×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
45	C₂²×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₁₇	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₁₇	C₂²	1	2	yes	—
48	C₁₇×#390	C₂²	1	2	yes	—
49	C₁₇×#390	C₂²	1	1	yes	characteristic
50	C₁₇×#390	C₂²	1	1	yes	characteristic
51	C₁₇×#389	C₂²	1	2	yes	—
52	C₁₇×#389	C₂²	1	1	yes	characteristic
53	C₁₇×#389	C₂²	1	1	yes	characteristic
54	C₁₇×#389	C₂²	1	1	yes	characteristic
55	C₁₇×#389	C₂²	1	1	yes	characteristic
56	C₁₇×#389	C₂²	1	2	yes	—
57	C₁₇×#389	C₂²	1	2	yes	—
58	C₁₇×#389	C₂²	1	2	yes	—
59	C₁₇×#388	C₂²	1	2	yes	—
60	C₁₇×#388	C₂²	1	1	yes	characteristic
61	C₁₇×#388	C₂²	1	1	yes	characteristic
62	C₁₇×#388	C₂²	1	2	yes	—
63	C₁₇×#388	C₂²	1	2	yes	—
64	C₁₇×#388	C₂²	1	2	yes	—
65	C₁₇×#388	C₂²	1	2	yes	—
66	C₁₇×#388	C₂²	1	2	yes	—
67	C₁₇×#388	C₂²	1	2	yes	—
68	C₁₇×#388	C₂²	1	2	yes	—
69	C₁₇×#387	C₂²	1	2	yes	—
70	C₁₇×#387	C₂²	1	1	yes	characteristic
71	C₁₇×#387	C₂²	1	2	yes	—
72	C₁₇×#387	C₂²	1	1	yes	characteristic
73	C₁₇×#387	C₂²	1	2	yes	—
74	C₁₇×#387	C₂²	1	2	yes	—
75	C₁₇×#387	C₂²	1	2	yes	—
76	C₁₇×#387	C₂²	1	2	yes	—
77	C₁₇×#386	C₂²	1	1	yes	characteristic
78	C₁₇×#386	C₂²	1	2	yes	—
79	C₁₇×#386	C₂²	1	2	yes	—
80	C₁₇×#386	C₂²	1	1	yes	characteristic
81	C₁₇×#386	C₂²	1	2	yes	—
82	C₁₇×#386	C₂²	1	2	yes	—
83	C₁₇×#385	C₂²	1	1	yes	characteristic
84	C₁₇×#385	C₂²	1	2	yes	—
85	C₁₇×#385	C₂²	1	1	yes	characteristic
86	C₁₇×#385	C₂²	1	2	yes	—
87	C₁₇×#385	C₂²	1	2	yes	—
88	C₁₇×#385	C₂²	1	2	yes	—
89	C₁₇×#385	C₂²	1	2	yes	—
90	C₁₇×#384	C₂²	1	1	yes	characteristic
91	C₁₇×#382	C₂²	1	2	yes	—
92	C₁₇×#380	C₂²	1	1	yes	characteristic
93	C₁₇×#380	C₂²	1	2	yes	—
94	C₁₇×#380	C₂²	1	1	yes	characteristic
95	C₁₇×#380	C₂²	1	2	yes	—
96	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
97	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
98	C₄×C₄⋊C₄×C₁₇	C₂²	1	2	yes	—
99	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
100	C₄×C₄⋊C₄×C₁₇	C₂²	1	2	yes	—
101	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
102	C₄×C₄⋊C₄×C₁₇	C₂²	1	2	yes	—
103	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
104	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
105	C₄×C₄⋊C₄×C₁₇	C₂²	1	2	yes	—
106	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊C₄×C₁₇	C₂²	1	2	yes	—
111	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
112	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
113	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
114	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
115	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
116	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
118	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₇	C₂²	1	2	yes	—
120	C₁₇×#376	C₂²	1	1	yes	characteristic
121	C₁₇×#376	C₂²	1	2	yes	—
122	C₂×C₁₇×#95	C₂²	1	2	yes	—
123	C₂×C₁₇×#95	C₂²	1	2	yes	—
124	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₇	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₇	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₇	C₂³	1	2	yes	—
138	C₁₇×#126	C₂×C₄	1	16	yes	complemented
139	C₁₇×#125	C₂×C₄	1	8	yes	complemented
140	C₁₇×#123	C₂×C₄	1	16	yes	complemented
141	C₁₇×#121	C₂×C₄	1	8	yes	complemented
142	C₁₇×#121	C₂×C₄	1	16	yes	complemented
143	C₁₇×#121	C₂×C₄	1	8	yes	complemented
144	C₄×D₄×C₁₇	—	2	4	no	—
145	C₄×D₄×C₁₇	—	2	4	no	—
146	C₄×D₄×C₁₇	—	4	4	no	—
147	C₄×D₄×C₁₇	—	4	4	no	—
148	C₄×D₄×C₁₇	—	4	4	no	—
149	C₄×D₄×C₁₇	—	4	4	no	—
150	C₄×D₄×C₁₇	C₂×C₄	1	8	yes	complemented
151	C₄×D₄×C₁₇	C₂×C₄	1	8	yes	complemented
152	C₄×D₄×C₁₇	C₂×C₄	1	16	yes	complemented
153	C₁₇×#117	—	2	4	no	—
154	C₁₇×#117	—	4	4	no	—
155	C₁₇×#117	C₂×C₄	1	8	yes	complemented
156	C₂×C₄⋊C₄×C₁₇	—	2	4	no	—
157	C₂×C₄⋊C₄×C₁₇	—	2	4	no	—
158	C₂×C₄⋊C₄×C₁₇	C₂×C₄	1	8	yes	complemented
159	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₇	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
182	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
185	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
186	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
188	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×C₁₇	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₇	—	2	4	no	—
203	C₂×C₄²×C₁₇	—	4	4	no	—
204	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
214	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
216	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
217	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
218	C₂×C₄²×C₁₇	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
221	C₁₇×#95	C₂³	1	1	yes	characteristic
222	C₁₇×#95	C₂³	1	2	yes	—
223	C₁₇×#95	C₂³	1	2	yes	—
224	C₁₇×#95	C₂³	1	2	yes	—
225	C₁₇×#95	C₂³	1	2	yes	—
226	C₁₇×#95	C₂³	1	2	yes	—
227	C₁₇×#95	C₂³	1	2	yes	—
228	C₁₇×#95	C₂³	1	1	yes	characteristic
229	C₁₇×#95	C₂³	1	1	yes	characteristic
230	C₁₇×#95	C₂³	1	1	yes	characteristic
231	C₁₇×#95	C₂³	1	1	yes	characteristic
232	C₁₇×#95	C₂³	1	2	yes	—
233	C₁₇×#95	C₂³	1	2	yes	—
234	C₁₇×#95	C₂³	1	2	yes	—
235	C₁₇×#95	C₂³	1	2	yes	—
236	C₁₇×#95	C₂³	1	2	yes	—
237	C₁₇×#95	C₂³	1	2	yes	—
238	C₁₇×#95	C₂³	1	2	yes	—
239	C₁₇×#95	C₂³	1	1	yes	characteristic
240	C₁₇×#95	C₂³	1	1	yes	characteristic
241	C₁₇×#95	C₂³	1	2	yes	—
242	C₁₇×#95	C₂³	1	2	yes	—
243	C₁₇×#95	C₂³	1	1	yes	characteristic
244	C₁₇×#95	C₂³	1	1	yes	characteristic
245	C₁₇×#95	C₂³	1	1	yes	characteristic
246	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
247	C₂⁴×C₁₇	C₂⁴	1	2	yes	—
248	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
249	C₂×D₄×C₁₇	—	2	4	no	—
250	C₂×D₄×C₁₇	—	2	2	no	—
251	C₂×D₄×C₁₇	—	2	2	no	—
252	C₂×D₄×C₁₇	—	2	4	no	—
253	C₂×D₄×C₁₇	—	2	2	no	—
254	C₂×D₄×C₁₇	—	2	2	no	—
255	C₂×D₄×C₁₇	—	4	2	no	—
256	C₂×D₄×C₁₇	—	4	2	no	—
257	C₂×D₄×C₁₇	C₂²×C₄	1	4	yes	—
258	C₂×D₄×C₁₇	C₂²×C₄	1	8	yes	—
259	C₂×D₄×C₁₇	C₂²×C₄	1	4	yes	—
260	C₂×D₄×C₁₇	C₂²×C₄	1	8	yes	—
261	C₂²×C₄×C₁₇	—	2	2	no	—
262	C₂²×C₄×C₁₇	—	2	2	no	—
263	C₂²×C₄×C₁₇	—	2	2	no	—
264	C₂²×C₄×C₁₇	—	2	2	no	—
265	C₂²×C₄×C₁₇	—	2	2	no	—
266	C₂²×C₄×C₁₇	—	2	2	no	—
267	C₂²×C₄×C₁₇	—	2	2	no	—
268	C₂²×C₄×C₁₇	—	2	4	no	—
269	C₂²×C₄×C₁₇	—	2	2	no	—
270	C₂²×C₄×C₁₇	—	2	2	no	—
271	C₂²×C₄×C₁₇	—	2	4	no	—
272	C₂²×C₄×C₁₇	—	2	4	no	—
273	C₂²×C₄×C₁₇	—	2	4	no	—
274	C₂²×C₄×C₁₇	—	2	4	no	—
275	C₂²×C₄×C₁₇	—	4	2	no	—
276	C₂²×C₄×C₁₇	—	4	2	no	—
277	C₂²×C₄×C₁₇	—	4	1	no	—
278	C₂²×C₄×C₁₇	—	4	2	no	—
279	C₂²×C₄×C₁₇	—	4	2	no	—
280	C₂²×C₄×C₁₇	—	4	2	no	—
281	C₂²×C₄×C₁₇	—	4	2	no	—
282	C₂²×C₄×C₁₇	—	4	2	no	—
283	C₂²×C₄×C₁₇	—	4	2	no	—
284	C₂²×C₄×C₁₇	—	4	2	no	—
285	C₂²×C₄×C₁₇	—	4	2	no	—
286	C₂²×C₄×C₁₇	—	4	2	no	—
287	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
288	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
289	C₂²×C₄×C₁₇	C₂²×C₄	1	8	yes	—
290	C₂²×C₄×C₁₇	C₂²×C₄	1	8	yes	—
291	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₇	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
311	C₄⋊C₄×C₁₇	—	2	4	no	—
312	C₄⋊C₄×C₁₇	—	2	4	no	—
313	C₄⋊C₄×C₁₇	—	2	2	no	—
314	C₄⋊C₄×C₁₇	—	2	2	no	—
315	C₄⋊C₄×C₁₇	—	2	2	no	—
316	C₄⋊C₄×C₁₇	—	2	2	no	—
317	C₄⋊C₄×C₁₇	—	2	2	no	—
318	C₄⋊C₄×C₁₇	—	2	2	no	—
319	C₄⋊C₄×C₁₇	—	4	1	no	—
320	C₄⋊C₄×C₁₇	—	4	2	no	—
321	C₄⋊C₄×C₁₇	—	4	2	no	—
322	C₄⋊C₄×C₁₇	—	4	2	no	—
323	C₄⋊C₄×C₁₇	—	4	2	no	—
324	C₄⋊C₄×C₁₇	—	4	2	no	—
325	C₄⋊C₄×C₁₇	—	4	2	no	—
326	C₄⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
327	C₄⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
328	C₄⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
329	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
330	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
331	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
332	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
333	C₄⋊C₄×C₁₇	#41	1	4	yes	—
334	C₂²⋊C₄×C₁₇	—	2	2	no	—
335	C₂²⋊C₄×C₁₇	—	2	4	no	—
336	C₂²⋊C₄×C₁₇	—	2	2	no	—
337	C₂²⋊C₄×C₁₇	—	2	2	no	—
338	C₂²⋊C₄×C₁₇	—	2	2	no	—
339	C₂²⋊C₄×C₁₇	—	2	4	no	—
340	C₂²⋊C₄×C₁₇	—	2	4	no	—
341	C₂²⋊C₄×C₁₇	—	2	4	no	—
342	C₂²⋊C₄×C₁₇	—	2	2	no	—
343	C₂²⋊C₄×C₁₇	—	4	1	no	—
344	C₂²⋊C₄×C₁₇	—	4	2	no	—
345	C₂²⋊C₄×C₁₇	—	4	2	no	—
346	C₂²⋊C₄×C₁₇	—	4	2	no	—
347	C₂²⋊C₄×C₁₇	—	4	2	no	—
348	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
349	C₂²⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
350	C₂²⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
351	C₂²⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
352	C₂²⋊C₄×C₁₇	C₂²×C₄	1	8	yes	—
353	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
354	C₄²×C₁₇	—	2	2	no	—
355	C₄²×C₁₇	—	2	2	no	—
356	C₄²×C₁₇	—	2	2	no	—
357	C₄²×C₁₇	—	2	2	no	—
358	C₄²×C₁₇	—	2	2	no	—
359	C₄²×C₁₇	—	2	4	no	—
360	C₄²×C₁₇	—	2	4	no	—
361	C₄²×C₁₇	—	4	2	no	—
362	C₄²×C₁₇	—	4	2	no	—
363	C₄²×C₁₇	—	4	2	no	—
364	C₄²×C₁₇	—	4	2	no	—
365	C₄²×C₁₇	—	4	2	no	—
366	C₄²×C₁₇	—	4	2	no	—
367	C₄²×C₁₇	—	4	2	no	—
368	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
369	C₄²×C₁₇	C₂²×C₄	1	8	yes	—
370	C₄²×C₁₇	#41	1	4	yes	—
371	#34305	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
372	C₂³×C₁₇	—	2	1	no	—
373	C₂³×C₁₇	—	2	1	no	—
374	C₂³×C₁₇	—	2	1	no	—
375	C₂³×C₁₇	—	2	1	no	—
376	C₂³×C₁₇	—	2	1	no	—
377	C₂³×C₁₇	—	2	2	no	—
378	C₂³×C₁₇	—	2	2	no	—
379	C₂³×C₁₇	—	2	1	no	—
380	C₂³×C₁₇	—	2	2	no	—
381	C₂³×C₁₇	—	2	1	no	—
382	C₂³×C₁₇	—	2	2	no	—
383	C₂³×C₁₇	—	2	1	no	—
384	C₂³×C₁₇	—	2	1	no	—
385	C₂³×C₁₇	—	2	2	no	—
386	C₂³×C₁₇	—	2	1	no	—
387	C₂³×C₁₇	—	2	2	no	—
388	C₂³×C₁₇	C₂³×C₄	1	2	yes	—
389	C₂³×C₁₇	C₂³×C₄	1	4	yes	—
390	C₂³×C₁₇	C₂³×C₄	1	2	yes	—
391	C₂³×C₁₇	H(5,𝔽₂)	1	2	yes	—
392	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
393	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
394	D₄×C₁₇	—	2	8	no	—
395	D₄×C₁₇	—	2	16	no	—
396	D₄×C₁₇	—	2	8	no	—
397	D₄×C₁₇	—	4	8	no	—
398	C₂×C₄×C₁₇	—	2	8	no	—
399	C₂×C₄×C₁₇	—	2	1	no	—
400	C₂×C₄×C₁₇	—	2	1	no	—
401	C₂×C₄×C₁₇	—	2	1	no	—
402	C₂×C₄×C₁₇	—	2	1	no	—
403	C₂×C₄×C₁₇	—	2	1	no	—
404	C₂×C₄×C₁₇	—	2	2	no	—
405	C₂×C₄×C₁₇	—	2	2	no	—
406	C₂×C₄×C₁₇	—	2	2	no	—
407	C₂×C₄×C₁₇	—	2	1	no	—
408	C₂×C₄×C₁₇	—	2	2	no	—
409	C₂×C₄×C₁₇	—	2	1	no	—
410	C₂×C₄×C₁₇	—	2	1	no	—
411	C₂×C₄×C₁₇	—	2	2	no	—
412	C₂×C₄×C₁₇	—	2	1	no	—
413	C₂×C₄×C₁₇	—	2	1	no	—
414	C₂×C₄×C₁₇	—	2	1	no	—
415	C₂×C₄×C₁₇	—	2	1	no	—
416	C₂×C₄×C₁₇	—	2	2	no	—
417	C₂×C₄×C₁₇	—	2	2	no	—
418	C₂×C₄×C₁₇	—	2	1	no	—
419	C₂×C₄×C₁₇	—	2	2	no	—
420	C₂×C₄×C₁₇	—	2	1	no	—
421	C₂×C₄×C₁₇	—	2	8	no	—
422	C₂×C₄×C₁₇	—	2	8	no	—
423	C₂×C₄×C₁₇	—	2	1	no	—
424	C₂×C₄×C₁₇	—	2	1	no	—
425	C₂×C₄×C₁₇	—	2	1	no	—
426	C₂×C₄×C₁₇	—	2	1	no	—
427	C₂×C₄×C₁₇	—	2	1	no	—
428	C₂×C₄×C₁₇	—	2	2	no	—
429	C₂×C₄×C₁₇	—	2	2	no	—
430	C₂×C₄×C₁₇	—	2	2	no	—
431	C₂×C₄×C₁₇	—	2	2	no	—
432	C₂×C₄×C₁₇	—	2	1	no	—
433	C₂×C₄×C₁₇	—	2	1	no	—
434	C₂×C₄×C₁₇	—	2	2	no	—
435	C₂×C₄×C₁₇	—	2	2	no	—
436	C₂×C₄×C₁₇	—	2	2	no	—
437	C₂×C₄×C₁₇	—	2	1	no	—
438	C₂×C₄×C₁₇	—	2	1	no	—
439	C₂×C₄×C₁₇	—	2	1	no	—
440	C₂×C₄×C₁₇	—	2	2	no	—
441	C₂×C₄×C₁₇	—	2	1	no	—
442	C₂×C₄×C₁₇	—	2	1	no	—
443	C₂×C₄×C₁₇	—	2	1	no	—
444	C₂×C₄×C₁₇	—	2	2	no	—
445	C₂×C₄×C₁₇	—	2	1	no	—
446	C₂×C₄×C₁₇	—	2	1	no	—
447	C₂×C₄×C₁₇	—	4	8	no	—
448	C₂×C₄×C₁₇	—	4	8	no	—
449	C₂×C₄×C₁₇	—	4	4	no	—
450	C₂×C₄×C₁₇	—	4	8	no	—
451	C₂×C₄×C₁₇	—	8	4	no	—
452	C₂×C₄×C₁₇	—	8	4	no	—
453	C₂×C₄×C₁₇	—	8	4	no	—
454	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
455	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
456	C₂×C₄×C₁₇	C₂³×C₄	1	4	yes	—
457	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
458	C₂×C₄×C₁₇	C₂³×C₄	1	4	yes	—
459	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
460	C₂×C₄×C₁₇	C₂³×C₄	1	4	yes	—
461	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
462	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
463	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
464	C₂×C₄×C₁₇	C₂×#41	1	4	yes	—
465	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
466	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
467	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
468	C₂×#553	C₂×C₁₇	1	1	yes	characteristic
469	#2373	C₂×C₁₇	1	2	yes	complemented
470	#2370	C₂×C₁₇	1	1	yes	characteristic, complemented
471	#2364	C₂×C₁₇	1	2	yes	complemented
472	#2361	C₂×C₁₇	1	1	yes	characteristic, complemented
473	#2361	C₂×C₁₇	1	1	yes	characteristic, complemented
474	#2359	C₂×C₁₇	1	2	yes	complemented
475	#2354	C₂×C₁₇	1	1	yes	characteristic, complemented
476	#2349	C₂×C₁₇	1	2	yes	complemented
477	D₄×C₄⋊C₄	C₂×C₁₇	1	1	yes	characteristic, complemented
478	#2346	C₂×C₁₇	1	1	yes	characteristic, complemented
479	#2345	C₂×C₁₇	1	1	yes	characteristic, complemented
480	#2335	C₂×C₁₇	1	2	yes	complemented
481	#2334	C₂×C₁₇	1	2	yes	complemented
482	#2330	C₂×C₁₇	1	1	yes	characteristic, complemented
483	#2324	C₂×C₁₇	1	1	yes	characteristic, complemented
484	C₄×#121	C₂×C₁₇	1	1	yes	characteristic, complemented
485	C₄×#121	C₂×C₁₇	1	2	yes	complemented
486	#2290	C₂×C₁₇	1	1	yes	characteristic, complemented
487	#2290	C₂×C₁₇	1	2	yes	complemented
488	#2275	C₂×C₁₇	1	1	yes	characteristic, complemented
489	#2274	C₂×C₁₇	1	1	yes	characteristic, complemented
490	C₂×C₄×C₄⋊C₄	C₂×C₁₇	1	1	yes	characteristic, complemented
491	C₂²×C₁₇	—	2	2	no	—
492	C₂²×C₁₇	—	2	2	no	—
493	C₂²×C₁₇	—	2	2	no	—
494	C₂²×C₁₇	—	2	2	no	—
495	C₂²×C₁₇	—	2	2	no	—
496	C₂²×C₁₇	—	2	2	no	—
497	C₂²×C₁₇	—	2	2	no	—
498	C₂²×C₁₇	—	2	4	no	—
499	C₂²×C₁₇	—	2	2	no	—
500	C₂²×C₁₇	—	2	4	no	—
501	C₂²×C₁₇	—	2	4	no	—
502	C₂²×C₁₇	—	2	2	no	—
503	C₂²×C₁₇	—	4	1	no	—
504	C₂²×C₁₇	—	4	2	no	—
505	C₂²×C₁₇	—	4	2	no	—
506	C₂²×C₁₇	—	4	1	no	—
507	C₂²×C₁₇	—	4	2	no	—
508	C₂²×C₁₇	—	4	1	no	—
509	C₂²×C₁₇	—	4	1	no	—
510	C₂²×C₁₇	—	4	2	no	—
511	C₂²×C₁₇	#520	1	4	yes	—
512	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
513	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
514	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
515	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
516	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
517	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
518	C₂²×C₁₇	#585	1	1	yes	characteristic
519	C₄×C₁₇	—	2	2	no	—
520	C₄×C₁₇	—	2	2	no	—
521	C₄×C₁₇	—	2	2	no	—
522	C₄×C₁₇	—	2	4	no	—
523	C₄×C₁₇	—	2	4	no	—
524	C₄×C₁₇	—	2	2	no	—
525	C₄×C₁₇	—	2	4	no	—
526	C₄×C₁₇	—	2	2	no	—
527	C₄×C₁₇	—	2	2	no	—
528	C₄×C₁₇	—	2	2	no	—
529	C₄×C₁₇	—	2	4	no	—
530	C₄×C₁₇	—	4	1	no	—
531	C₄×C₁₇	—	4	1	no	—
532	C₄×C₁₇	—	4	1	no	—
533	C₄×C₁₇	—	4	2	no	—
534	C₄×C₁₇	—	4	1	no	—
535	C₄×C₁₇	—	4	2	no	—
536	C₄×C₁₇	—	4	2	no	—
537	C₄×C₁₇	—	4	1	no	—
538	C₄×C₁₇	C₄×#41	1	4	yes	—
539	#553	C₄×C₁₇	1	16	yes	complemented
540	C₂×#126	C₂²×C₁₇	1	2	yes	—
541	C₂×#125	C₂²×C₁₇	1	1	yes	characteristic
542	C₂×#123	C₂²×C₁₇	1	2	yes	—
543	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
544	C₂×#121	C₂²×C₁₇	1	1	yes	characteristic
545	C₂×#121	C₂²×C₁₇	1	2	yes	—
546	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
548	C₂×C₄×D₄	C₂²×C₁₇	1	2	yes	—
549	C₂×C₄×D₄	C₂²×C₁₇	1	2	yes	—
550	C₂×C₄×D₄	C₂²×C₁₇	1	2	yes	—
551	C₂×C₄×D₄	C₂²×C₁₇	1	2	yes	—
552	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
553	C₂×C₄×D₄	C₂²×C₁₇	1	2	yes	—
554	C₂×C₄×D₄	C₂²×C₁₇	1	1	yes	characteristic
555	C₂×#117	C₂²×C₁₇	1	1	yes	characteristic
556	C₂×#117	C₂²×C₁₇	1	2	yes	—
557	C₂×#117	C₂²×C₁₇	1	1	yes	characteristic
558	C₂²×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
559	C₂²×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
560	C₂²×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
561	C₂²×C₄²	C₂²×C₁₇	1	1	yes	characteristic
562	C₂²×C₄²	C₂²×C₁₇	1	2	yes	—
563	#390	C₂²×C₁₇	1	2	yes	—
564	#390	C₂²×C₁₇	1	1	yes	characteristic
565	#390	C₂²×C₁₇	1	1	yes	characteristic
566	#389	C₂²×C₁₇	1	1	yes	characteristic
567	#389	C₂²×C₁₇	1	2	yes	—
568	#389	C₂²×C₁₇	1	1	yes	characteristic
569	#389	C₂²×C₁₇	1	1	yes	characteristic
570	#389	C₂²×C₁₇	1	2	yes	—
571	#389	C₂²×C₁₇	1	2	yes	—
572	#389	C₂²×C₁₇	1	2	yes	—
573	#389	C₂²×C₁₇	1	1	yes	characteristic
574	#388	C₂²×C₁₇	1	2	yes	—
575	#388	C₂²×C₁₇	1	2	yes	—
576	#388	C₂²×C₁₇	1	2	yes	—
577	#388	C₂²×C₁₇	1	1	yes	characteristic
578	#388	C₂²×C₁₇	1	2	yes	—
579	#388	C₂²×C₁₇	1	2	yes	—
580	#388	C₂²×C₁₇	1	2	yes	—
581	#388	C₂²×C₁₇	1	2	yes	—
582	#388	C₂²×C₁₇	1	1	yes	characteristic
583	#388	C₂²×C₁₇	1	2	yes	—
584	#387	C₂²×C₁₇	1	2	yes	—
585	#387	C₂²×C₁₇	1	2	yes	—
586	#387	C₂²×C₁₇	1	1	yes	characteristic
587	#387	C₂²×C₁₇	1	2	yes	—
588	#387	C₂²×C₁₇	1	2	yes	—
589	#387	C₂²×C₁₇	1	2	yes	—
590	#387	C₂²×C₁₇	1	2	yes	—
591	#387	C₂²×C₁₇	1	1	yes	characteristic
592	#386	C₂²×C₁₇	1	2	yes	—
593	#386	C₂²×C₁₇	1	2	yes	—
594	#386	C₂²×C₁₇	1	2	yes	—
595	#386	C₂²×C₁₇	1	1	yes	characteristic
596	#386	C₂²×C₁₇	1	1	yes	characteristic
597	#386	C₂²×C₁₇	1	2	yes	—
598	#385	C₂²×C₁₇	1	2	yes	—
599	#385	C₂²×C₁₇	1	2	yes	—
600	#385	C₂²×C₁₇	1	2	yes	—
601	#385	C₂²×C₁₇	1	2	yes	—
602	#385	C₂²×C₁₇	1	2	yes	—
603	#385	C₂²×C₁₇	1	1	yes	characteristic
604	#385	C₂²×C₁₇	1	1	yes	characteristic
605	#384	C₂²×C₁₇	1	1	yes	characteristic
606	#382	C₂²×C₁₇	1	2	yes	—
607	#380	C₂²×C₁₇	1	1	yes	characteristic
608	#380	C₂²×C₁₇	1	2	yes	—
609	#380	C₂²×C₁₇	1	1	yes	characteristic
610	#380	C₂²×C₁₇	1	2	yes	—
611	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
612	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
613	C₄×C₄⋊C₄	C₂²×C₁₇	1	2	yes	—
614	C₄×C₄⋊C₄	C₂²×C₁₇	1	2	yes	—
615	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
616	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
617	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
618	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
619	C₄×C₄⋊C₄	C₂²×C₁₇	1	2	yes	—
620	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
621	C₄×C₄⋊C₄	C₂²×C₁₇	1	2	yes	—
622	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
623	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
624	C₄×C₄⋊C₄	C₂²×C₁₇	1	2	yes	—
625	C₄×C₄⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
626	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
627	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
628	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
629	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
630	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
631	C₄×C₂²⋊C₄	C₂²×C₁₇	1	1	yes	characteristic
632	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
633	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
634	C₄×C₂²⋊C₄	C₂²×C₁₇	1	2	yes	—
635	#376	C₂²×C₁₇	1	1	yes	characteristic
636	#376	C₂²×C₁₇	1	2	yes	—
637	C₂×#95	C₂²×C₁₇	1	2	yes	—
638	C₂×#95	C₂²×C₁₇	1	2	yes	—
639	C₂×C₁₇	—	2	4	no	—
640	C₂×C₁₇	—	4	2	no	—
641	C₂×C₁₇	—	4	4	no	—
642	C₂×C₁₇	C₂×C₄×#41	1	1	yes	characteristic
643	C₂×C₁₇	C₂×#520	1	1	yes	characteristic
644	C₂×C₁₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
645	C₂×C₁₇	#3492	1	1	yes	characteristic
646	C₂×C₁₇	#3494	1	1	yes	characteristic
647	C₂×C₁₇	#3516	1	1	yes	characteristic
648	C₂×C₁₇	#3519	1	1	yes	characteristic
649	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
650	C₂²×D₄	C₂³×C₁₇	1	2	yes	—
651	C₂²×D₄	C₂³×C₁₇	1	1	yes	characteristic
652	C₂²×D₄	C₂³×C₁₇	1	2	yes	—
653	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
654	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
655	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
656	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
657	C₂³×C₄	C₂³×C₁₇	1	1	yes	characteristic
658	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
659	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
660	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
661	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
662	C₂³×C₄	C₂³×C₁₇	1	2	yes	—
663	#126	C₂×C₄×C₁₇	1	16	yes	complemented
664	#125	C₂×C₄×C₁₇	1	8	yes	complemented
665	#123	C₂×C₄×C₁₇	1	16	yes	complemented
666	#121	C₂×C₄×C₁₇	1	16	yes	complemented
667	#121	C₂×C₄×C₁₇	1	8	yes	complemented
668	#121	C₂×C₄×C₁₇	1	8	yes	complemented
669	C₄×D₄	—	2	4	no	—
670	C₄×D₄	—	2	4	no	—
671	C₄×D₄	—	4	4	no	—
672	C₄×D₄	—	4	4	no	—
673	C₄×D₄	—	4	4	no	—
674	C₄×D₄	—	4	4	no	—
675	C₄×D₄	C₂×C₄×C₁₇	1	16	yes	complemented
676	C₄×D₄	C₂×C₄×C₁₇	1	8	yes	complemented
677	C₄×D₄	C₂×C₄×C₁₇	1	8	yes	complemented
678	#117	—	2	4	no	—
679	#117	—	4	4	no	—
680	#117	C₂×C₄×C₁₇	1	8	yes	complemented
681	C₂×C₄⋊C₄	—	2	4	no	—
682	C₂×C₄⋊C₄	—	2	4	no	—
683	C₂×C₄⋊C₄	C₂×C₄×C₁₇	1	8	yes	complemented
684	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
695	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
699	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₁₇	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
723	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₇	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂³×C₁₇	1	2	yes	—
727	C₂×C₄²	—	2	4	no	—
728	C₂×C₄²	—	4	4	no	—
729	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
730	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
732	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
733	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
734	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
736	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
737	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
738	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
739	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
740	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
742	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
743	C₂×C₄²	C₂³×C₁₇	1	2	yes	—
744	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
745	C₂×C₄²	C₂³×C₁₇	1	1	yes	characteristic
746	#95	C₂³×C₁₇	1	1	yes	characteristic
747	#95	C₂³×C₁₇	1	2	yes	—
748	#95	C₂³×C₁₇	1	2	yes	—
749	#95	C₂³×C₁₇	1	2	yes	—
750	#95	C₂³×C₁₇	1	2	yes	—
751	#95	C₂³×C₁₇	1	2	yes	—
752	#95	C₂³×C₁₇	1	2	yes	—
753	#95	C₂³×C₁₇	1	1	yes	characteristic
754	#95	C₂³×C₁₇	1	1	yes	characteristic
755	#95	C₂³×C₁₇	1	1	yes	characteristic
756	#95	C₂³×C₁₇	1	1	yes	characteristic
757	#95	C₂³×C₁₇	1	2	yes	—
758	#95	C₂³×C₁₇	1	2	yes	—
759	#95	C₂³×C₁₇	1	2	yes	—
760	#95	C₂³×C₁₇	1	2	yes	—
761	#95	C₂³×C₁₇	1	2	yes	—
762	#95	C₂³×C₁₇	1	2	yes	—
763	#95	C₂³×C₁₇	1	2	yes	—
764	#95	C₂³×C₁₇	1	1	yes	characteristic
765	#95	C₂³×C₁₇	1	1	yes	characteristic
766	#95	C₂³×C₁₇	1	2	yes	—
767	#95	C₂³×C₁₇	1	2	yes	—
768	#95	C₂³×C₁₇	1	1	yes	characteristic
769	#95	C₂³×C₁₇	1	1	yes	characteristic
770	#95	C₂³×C₁₇	1	1	yes	characteristic
771	C₁₇	#34305	1	1	yes	characteristic, direct product factor, Sylow
772	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
773	C₂⁴	C₂⁴×C₁₇	1	2	yes	—
774	C₂⁴	C₂⁴×C₁₇	1	1	yes	characteristic
775	C₂×D₄	—	2	4	no	—
776	C₂×D₄	—	2	2	no	—
777	C₂×D₄	—	2	2	no	—
778	C₂×D₄	—	2	4	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	2	no	—
781	C₂×D₄	—	4	2	no	—
782	C₂×D₄	—	4	2	no	—
783	C₂×D₄	C₂²×C₄×C₁₇	1	8	yes	—
784	C₂×D₄	C₂²×C₄×C₁₇	1	4	yes	—
785	C₂×D₄	C₂²×C₄×C₁₇	1	4	yes	—
786	C₂×D₄	C₂²×C₄×C₁₇	1	8	yes	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	4	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	2	no	—
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	4	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	—	4	2	no	—
806	C₂²×C₄	—	4	1	no	—
807	C₂²×C₄	—	4	2	no	—
808	C₂²×C₄	—	4	2	no	—
809	C₂²×C₄	—	4	2	no	—
810	C₂²×C₄	—	4	2	no	—
811	C₂²×C₄	—	4	2	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	C₂²×C₄×C₁₇	1	4	yes	—
814	C₂²×C₄	C₂²×C₄×C₁₇	1	4	yes	—
815	C₂²×C₄	C₂²×C₄×C₁₇	1	8	yes	—
816	C₂²×C₄	C₂²×C₄×C₁₇	1	8	yes	—
817	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
821	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
830	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₁₇	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₁₇	1	1	yes	characteristic
837	C₄⋊C₄	—	2	4	no	—
838	C₄⋊C₄	—	2	4	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	4	1	no	—
846	C₄⋊C₄	—	4	2	no	—
847	C₄⋊C₄	—	4	2	no	—
848	C₄⋊C₄	—	4	2	no	—
849	C₄⋊C₄	—	4	2	no	—
850	C₄⋊C₄	—	4	2	no	—
851	C₄⋊C₄	—	4	2	no	—
852	C₄⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
853	C₄⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
854	C₄⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
855	C₄⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
856	C₄⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
857	C₄⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
858	C₄⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
859	C₄⋊C₄	#41×C₁₇	1	4	yes	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	2	4	no	—
867	C₂²⋊C₄	—	2	4	no	—
868	C₂²⋊C₄	—	2	2	no	—
869	C₂²⋊C₄	—	4	1	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
875	C₂²⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
876	C₂²⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
877	C₂²⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
878	C₂²⋊C₄	C₂²×C₄×C₁₇	1	4	yes	—
879	C₂²⋊C₄	C₂²×C₄×C₁₇	1	8	yes	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	2	no	—
882	C₄²	—	2	2	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	4	no	—
886	C₄²	—	2	4	no	—
887	C₄²	—	4	2	no	—
888	C₄²	—	4	2	no	—
889	C₄²	—	4	2	no	—
890	C₄²	—	4	2	no	—
891	C₄²	—	4	2	no	—
892	C₄²	—	4	2	no	—
893	C₄²	—	4	2	no	—
894	C₄²	C₂²×C₄×C₁₇	1	8	yes	—
895	C₄²	C₂²×C₄×C₁₇	1	4	yes	—
896	C₄²	#41×C₁₇	1	4	yes	—
897	C₂³	—	2	1	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	1	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	1	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	1	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	1	no	—
909	C₂³	—	2	1	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	2	no	—
913	C₂³	C₂³×C₄×C₁₇	1	2	yes	—
914	C₂³	C₂³×C₄×C₁₇	1	4	yes	—
915	C₂³	C₂³×C₄×C₁₇	1	2	yes	—
916	C₂³	C₁₇×H(5,𝔽₂)	1	2	yes	—
917	C₂³	C₁₇×2₋¹⁺⁴	1	2	yes	—
918	C₂³	C₂⁵×C₁₇	1	1	yes	characteristic
919	D₄	—	2	16	no	—
920	D₄	—	2	8	no	—
921	D₄	—	2	8	no	—
922	D₄	—	4	8	no	—
923	C₂×C₄	—	2	8	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	8	no	—
947	C₂×C₄	—	2	8	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	4	8	no	—
973	C₂×C₄	—	4	8	no	—
974	C₂×C₄	—	4	4	no	—
975	C₂×C₄	—	4	8	no	—
976	C₂×C₄	—	8	4	no	—
977	C₂×C₄	—	8	4	no	—
978	C₂×C₄	—	8	4	no	—
979	C₂×C₄	C₂³×C₄×C₁₇	1	2	yes	—
980	C₂×C₄	C₂³×C₄×C₁₇	1	4	yes	—
981	C₂×C₄	C₂³×C₄×C₁₇	1	2	yes	—
982	C₂×C₄	C₂³×C₄×C₁₇	1	4	yes	—
983	C₂×C₄	C₂³×C₄×C₁₇	1	2	yes	—
984	C₂×C₄	C₂³×C₄×C₁₇	1	2	yes	—
985	C₂×C₄	C₂³×C₄×C₁₇	1	4	yes	—
986	C₂×C₄	C₂³×C₄×C₁₇	1	2	yes	—
987	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
988	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
989	C₂×C₄	C₂×#41×C₁₇	1	4	yes	—
990	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
991	C₂×C₄	C₂×#41×C₁₇	1	2	yes	—
992	C₂×C₄	C₁₇×H(5,𝔽₂)	1	2	yes	—
993	C₂²	—	2	2	no	—
994	C₂²	—	2	2	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	2	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	4	no	—
1003	C₂²	—	2	4	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	4	1	no	—
1006	C₂²	—	4	2	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	1	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	1	no	—
1011	C₂²	—	4	1	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	C₁₇×#520	1	4	yes	—
1014	C₂²	C₂⁴×C₄×C₁₇	1	1	yes	characteristic
1015	C₂²	C₂²×#41×C₁₇	1	1	yes	characteristic
1016	C₂²	C₂²×#41×C₁₇	1	1	yes	characteristic
1017	C₂²	C₂×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1018	C₂²	C₂×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1019	C₂²	C₂×C₁₇×2₋¹⁺⁴	1	1	yes	characteristic
1020	C₂²	C₁₇×#585	1	1	yes	characteristic
1021	C₄	—	2	2	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	2	2	no	—
1024	C₄	—	2	4	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	2	4	no	—
1028	C₄	—	2	2	no	—
1029	C₄	—	2	4	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	2	4	no	—
1032	C₄	—	4	1	no	—
1033	C₄	—	4	1	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	1	no	—
1036	C₄	—	4	1	no	—
1037	C₄	—	4	2	no	—
1038	C₄	—	4	1	no	—
1039	C₄	—	4	2	no	—
1040	C₄	C₄×#41×C₁₇	1	4	yes	—
1041	C₂	—	2	4	no	—
1042	C₂	—	4	2	no	—
1043	C₂	—	4	4	no	—
1044	C₂	C₂×C₄×#41×C₁₇	1	1	yes	characteristic
1045	C₂	C₂×C₁₇×#520	1	1	yes	characteristic
1046	C₂	C₄×C₁₇×H(5,𝔽₂)	1	1	yes	characteristic
1047	C₂	C₁₇×#3492	1	1	yes	characteristic
1048	C₂	C₁₇×#3494	1	1	yes	characteristic
1049	C₂	C₁₇×#3516	1	1	yes	characteristic
1050	C₂	C₁₇×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₇	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₇
Frattini, cosocle	C₂³	C₂⁵×C₁₇
prime radical	C₂×C₁₇×#553	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₇×#2373	C₂	semidirect
3. C₁₇×#2370	C₂	semidirect
4. C₁₇×#2364	C₂	semidirect
5. C₁₇×#2361	C₂	semidirect
6. C₁₇×#2361	C₂	semidirect
7. C₁₇×#2359	C₂	semidirect
8. C₁₇×#2354	C₂	semidirect
9. C₁₇×#2349	C₂	semidirect
10. D₄×C₄⋊C₄×C₁₇	C₂	semidirect
11. C₁₇×#2346	C₂	semidirect
12. C₁₇×#2345	C₂	semidirect
13. C₁₇×#2335	C₂	semidirect
14. C₁₇×#2334	C₂	semidirect
15. C₁₇×#2330	C₂	semidirect
16. C₁₇×#2324	C₂	semidirect
17. C₄×C₁₇×#121	C₂	semidirect
18. C₄×C₁₇×#121	C₂	semidirect
19. C₁₇×#2290	C₂	semidirect
20. C₁₇×#2290	C₂	semidirect
21. C₁₇×#2275	C₂	semidirect
22. C₁₇×#2274	C₂	semidirect
23. C₂×C₄×C₄⋊C₄×C₁₇	C₂	semidirect
24. C₁₇×#553	C₄	semidirect
138. C₁₇×#126	C₂×C₄	semidirect
139. C₁₇×#125	C₂×C₄	semidirect
140. C₁₇×#123	C₂×C₄	semidirect
141. C₁₇×#121	C₂×C₄	semidirect
142. C₁₇×#121	C₂×C₄	semidirect
143. C₁₇×#121	C₂×C₄	semidirect
150. C₄×D₄×C₁₇	C₂×C₄	semidirect
151. C₄×D₄×C₁₇	C₂×C₄	semidirect
152. C₄×D₄×C₁₇	C₂×C₄	semidirect
155. C₁₇×#117	C₂×C₄	semidirect
158. C₂×C₄⋊C₄×C₁₇	C₂×C₄	semidirect
371. #34305	C₁₇	direct (N × H)
469. #2373	C₂×C₁₇	semidirect
470. #2370	C₂×C₁₇	semidirect
471. #2364	C₂×C₁₇	semidirect
472. #2361	C₂×C₁₇	semidirect
473. #2361	C₂×C₁₇	semidirect
474. #2359	C₂×C₁₇	semidirect
475. #2354	C₂×C₁₇	semidirect
476. #2349	C₂×C₁₇	semidirect
477. D₄×C₄⋊C₄	C₂×C₁₇	semidirect
478. #2346	C₂×C₁₇	semidirect
479. #2345	C₂×C₁₇	semidirect
480. #2335	C₂×C₁₇	semidirect
481. #2334	C₂×C₁₇	semidirect
482. #2330	C₂×C₁₇	semidirect
483. #2324	C₂×C₁₇	semidirect
484. C₄×#121	C₂×C₁₇	semidirect
485. C₄×#121	C₂×C₁₇	semidirect
486. #2290	C₂×C₁₇	semidirect
487. #2290	C₂×C₁₇	semidirect
488. #2275	C₂×C₁₇	semidirect
489. #2274	C₂×C₁₇	semidirect
490. C₂×C₄×C₄⋊C₄	C₂×C₁₇	semidirect
539. #553	C₄×C₁₇	semidirect
663. #126	C₂×C₄×C₁₇	semidirect
664. #125	C₂×C₄×C₁₇	semidirect
665. #123	C₂×C₄×C₁₇	semidirect
666. #121	C₂×C₄×C₁₇	semidirect
667. #121	C₂×C₄×C₁₇	semidirect
668. #121	C₂×C₄×C₁₇	semidirect
675. C₄×D₄	C₂×C₄×C₁₇	semidirect
676. C₄×D₄	C₂×C₄×C₁₇	semidirect
677. C₄×D₄	C₂×C₄×C₁₇	semidirect
680. #117	C₂×C₄×C₁₇	semidirect
683. C₂×C₄⋊C₄	C₂×C₄×C₁₇	semidirect
771. C₁₇	#34305	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×#553	2
C₁₇×#2373	2
C₁₇×#2370	2
C₁₇×#2364	2
C₁₇×#2361	2
C₁₇×#2359	2
C₁₇×#2354	2
C₁₇×#2349	2
D₄×C₄⋊C₄×C₁₇	2
C₁₇×#2346	2
C₁₇×#2345	2
C₁₇×#2335	2
C₁₇×#2334	2
C₁₇×#2330	2
C₁₇×#2324	2
C₄×C₁₇×#121	2
C₁₇×#2290	2
C₁₇×#2275	2
C₁₇×#2274	2
C₂×C₄×C₄⋊C₄×C₁₇	2
#34305	17

Subgroups — C17×#34305 #16892049

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₇×#34305 #16892049