Subgroups — #17201520

Order 4352.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14534979	C₂	1	1	yes	maximal, characteristic
2	#14534977	C₂	1	1	yes	maximal, characteristic
3	#14534976	C₂	1	1	yes	maximal, characteristic, complemented
4	#14534974	C₂	1	1	yes	maximal, characteristic, complemented
5	#14534972	C₂	1	1	yes	maximal, characteristic, complemented
6	#14534970	C₂	1	1	yes	maximal, characteristic, complemented
7	#14534955	C₂	1	1	yes	maximal, characteristic
8	#14534953	C₂	1	1	yes	maximal, characteristic
9	#14534907	C₂	1	1	yes	maximal, characteristic, complemented
10	#14534902	C₂	1	1	yes	maximal, characteristic, complemented
11	#14534762	C₂	1	1	yes	maximal, characteristic, complemented
12	#14534758	C₂	1	1	yes	maximal, characteristic, complemented
13	#14534613	C₂	1	1	yes	maximal, characteristic
14	#14534613	C₂	1	1	yes	maximal, characteristic
15	#14534610	C₂	1	1	yes	maximal, characteristic
16	#14534604	C₂	1	1	yes	maximal, characteristic
17	#14532091	C₂	1	1	yes	maximal, characteristic, complemented
18	#14532091	C₂	1	1	yes	maximal, characteristic, complemented
19	#14532078	C₂	1	1	yes	maximal, characteristic, complemented
20	#14532075	C₂	1	1	yes	maximal, characteristic, complemented
21	#14532058	C₂	1	1	yes	maximal, characteristic
22	#14532058	C₂	1	1	yes	maximal, characteristic
23	#14532052	C₂	1	1	yes	maximal, characteristic
24	C₄×#10587574	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#10587630	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#10587575	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#10587575	C₂	1	1	yes	maximal, characteristic, complemented
28	#14531187	C₂	1	1	yes	maximal, characteristic
29	#14531178	C₂	1	1	yes	maximal, characteristic
30	C₄×#10587563	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2396	C₂	1	1	yes	maximal, characteristic
32	C₂×#10587574	C₂²	1	1	yes	characteristic
33	C₂×#10587630	C₂²	1	1	yes	characteristic
34	C₂×#10587575	C₂²	1	1	yes	characteristic
35	C₂×#10587575	C₂²	1	1	yes	characteristic
36	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
38	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
39	C₂×#10587612	C₂²	1	1	yes	characteristic
40	C₂×#10587563	C₂²	1	1	yes	characteristic
41	C₂×#10587563	C₂²	1	1	yes	characteristic
42	C₂²×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
43	#11762751	C₂²	1	1	yes	characteristic
44	#11762751	C₂²	1	1	yes	characteristic
45	#11762750	C₂²	1	1	yes	characteristic
46	#11762750	C₂²	1	1	yes	characteristic
47	#11762750	C₂²	1	1	yes	characteristic
48	#11762750	C₂²	1	1	yes	characteristic
49	#11762749	C₂²	1	1	yes	characteristic
50	#11762749	C₂²	1	1	yes	characteristic
51	#11762748	C₂²	1	1	yes	characteristic
52	#11762747	C₂²	1	1	yes	characteristic
53	#11762747	C₂²	1	1	yes	characteristic
54	#11762745	C₂²	1	1	yes	characteristic
55	#11762745	C₂²	1	1	yes	characteristic
56	#11762745	C₂²	1	1	yes	characteristic
57	#11762743	C₂²	1	1	yes	characteristic
58	#11762743	C₂²	1	1	yes	characteristic
59	#11762743	C₂²	1	1	yes	characteristic
60	#11762743	C₂²	1	1	yes	characteristic
61	#11762743	C₂²	1	1	yes	characteristic
62	#11762743	C₂²	1	1	yes	characteristic
63	#11762742	C₂²	1	1	yes	characteristic
64	#11762742	C₂²	1	1	yes	characteristic
65	#11762742	C₂²	1	1	yes	characteristic
66	#11762742	C₂²	1	1	yes	characteristic
67	#11762742	C₂²	1	1	yes	characteristic
68	#11762742	C₂²	1	1	yes	characteristic
69	#11762741	C₂²	1	1	yes	characteristic
70	#11762741	C₂²	1	1	yes	characteristic
71	#11762740	C₂²	1	1	yes	characteristic
72	#11762740	C₂²	1	1	yes	characteristic
73	#11762740	C₂²	1	1	yes	characteristic
74	#11762740	C₂²	1	1	yes	characteristic
75	#11762739	C₂²	1	1	yes	characteristic
76	#11762739	C₂²	1	1	yes	characteristic
77	#11762739	C₂²	1	1	yes	characteristic
78	#11762739	C₂²	1	1	yes	characteristic
79	#11762732	C₂²	1	1	yes	characteristic
80	#11762732	C₂²	1	1	yes	characteristic
81	#11762732	C₂²	1	1	yes	characteristic
82	#11762732	C₂²	1	1	yes	characteristic
83	#11762732	C₂²	1	1	yes	characteristic
84	#11762732	C₂²	1	1	yes	characteristic
85	#11762730	C₂²	1	1	yes	characteristic
86	#11762730	C₂²	1	1	yes	characteristic
87	#11762730	C₂²	1	1	yes	characteristic
88	#11762730	C₂²	1	1	yes	characteristic
89	#11762729	C₂²	1	1	yes	characteristic
90	#11762729	C₂²	1	1	yes	characteristic
91	#11762729	C₂²	1	1	yes	characteristic
92	#11762729	C₂²	1	1	yes	characteristic
93	#11762729	C₂²	1	1	yes	characteristic
94	#11762728	C₂²	1	1	yes	characteristic
95	#11762728	C₂²	1	1	yes	characteristic
96	#11762721	C₂²	1	1	yes	characteristic
97	#11762721	C₂²	1	1	yes	characteristic
98	#11762721	C₂²	1	1	yes	characteristic
99	#11762716	C₂²	1	1	yes	characteristic
100	#11762714	C₂²	1	1	yes	characteristic
101	#11762713	C₂²	1	1	yes	characteristic
102	#11762713	C₂²	1	1	yes	characteristic
103	#11762708	C₂²	1	1	yes	characteristic
104	#11762706	C₂²	1	1	yes	characteristic
105	#11762706	C₂²	1	1	yes	characteristic
106	#11762706	C₂²	1	1	yes	characteristic
107	#11762706	C₂²	1	1	yes	characteristic
108	#11762705	C₂²	1	1	yes	characteristic
109	#11762704	C₂²	1	1	yes	characteristic
110	#11762704	C₂²	1	1	yes	characteristic
111	#11762704	C₂²	1	1	yes	characteristic
112	#11762704	C₂²	1	1	yes	characteristic
113	#11762704	C₂²	1	1	yes	characteristic
114	#11762704	C₂²	1	1	yes	characteristic
115	#11762695	C₂²	1	1	yes	characteristic
116	#11762695	C₂²	1	1	yes	characteristic
117	#11762694	C₂²	1	1	yes	characteristic
118	#11762694	C₂²	1	1	yes	characteristic
119	#11762691	C₂²	1	1	yes	characteristic
120	#11762691	C₂²	1	1	yes	characteristic
121	#11762690	C₂²	1	1	yes	characteristic
122	#11762690	C₂²	1	1	yes	characteristic
123	#11762678	C₂²	1	1	yes	characteristic
124	#11762678	C₂²	1	1	yes	characteristic
125	#11762678	C₂²	1	1	yes	characteristic
126	#11762678	C₂²	1	1	yes	characteristic
127	#11762676	C₂²	1	1	yes	characteristic
128	#11762676	C₂²	1	1	yes	characteristic
129	#11762674	C₂²	1	1	yes	characteristic
130	#11762674	C₂²	1	1	yes	characteristic
131	#11762673	C₂²	1	1	yes	characteristic
132	#11762673	C₂²	1	1	yes	characteristic
133	#11762673	C₂²	1	1	yes	characteristic
134	#11762673	C₂²	1	1	yes	characteristic
135	#11762670	C₂²	1	1	yes	characteristic
136	#11762670	C₂²	1	1	yes	characteristic
137	#11762667	C₂²	1	1	yes	characteristic
138	#11762667	C₂²	1	1	yes	characteristic
139	#11762667	C₂²	1	1	yes	characteristic
140	#11762667	C₂²	1	1	yes	characteristic
141	#11762667	C₂²	1	1	yes	characteristic
142	#11762667	C₂²	1	1	yes	characteristic
143	C₄×#63225	C₂²	1	1	yes	characteristic
144	C₄×#63225	C₂²	1	1	yes	characteristic
145	C₄×#63225	C₂²	1	1	yes	characteristic
146	C₄×#63225	C₂²	1	1	yes	characteristic
147	C₄×#63225	C₂²	1	1	yes	characteristic
148	C₄×#63225	C₂²	1	1	yes	characteristic
149	C₄×#63225	C₂²	1	1	yes	characteristic
150	C₄×#63225	C₂²	1	1	yes	characteristic
151	C₄×#63225	C₂²	1	1	yes	characteristic
152	C₄×#63225	C₂²	1	1	yes	characteristic
153	C₄×#63225	C₂²	1	1	yes	characteristic
154	C₄×#63225	C₂²	1	1	yes	characteristic
155	C₄×#63225	C₂²	1	1	yes	characteristic
156	C₄×#63225	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
160	#11762660	C₂²	1	1	yes	characteristic
161	#11762660	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
166	#11762655	C₂²	1	1	yes	characteristic
167	#11762655	C₂²	1	1	yes	characteristic
168	#11762654	C₂²	1	1	yes	characteristic
169	#11762654	C₂²	1	1	yes	characteristic
170	C₄²×Dic₁₇	C₂²	1	1	yes	characteristic
171	C₄²×Dic₁₇	C₂²	1	1	yes	characteristic
172	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
173	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
174	C₁₇×#400	C₂²	1	1	yes	characteristic
175	C₁₇×#399	C₂²	1	1	yes	characteristic
176	C₁₇×#398	C₂²	1	1	yes	characteristic
177	C₁₇×#398	C₂²	1	1	yes	characteristic
178	C₁₇×#396	C₂²	1	1	yes	characteristic
179	C₁₇×#396	C₂²	1	1	yes	characteristic
180	C₁₇×#395	C₂²	1	1	yes	characteristic
181	C₁₇×#393	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
191	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
192	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
193	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
194	C₄×Q₈×C₁₇	—	4	2	no	—
195	C₁₇×#117	—	4	2	no	—
196	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
225	#10587630	—	2	4	no	—
226	#10587612	—	4	2	no	—
227	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
238	C₂×#63225	C₂³	1	1	yes	characteristic
239	C₂×#63225	C₂³	1	1	yes	characteristic
240	C₂×#63225	C₂³	1	1	yes	characteristic
241	C₂×#63225	C₂³	1	1	yes	characteristic
242	C₂×#63225	C₂³	1	1	yes	characteristic
243	C₂×#63225	C₂³	1	1	yes	characteristic
244	C₂×#63225	C₂³	1	1	yes	characteristic
245	C₂×#63225	C₂³	1	1	yes	characteristic
246	C₂×#63225	C₂³	1	1	yes	characteristic
247	C₂×#63225	C₂³	1	1	yes	characteristic
248	C₂×#63225	C₂³	1	1	yes	characteristic
249	C₂×#63225	C₂³	1	1	yes	characteristic
250	C₂×#63225	C₂³	1	1	yes	characteristic
251	C₂×#63225	C₂³	1	1	yes	characteristic
252	C₂×#63225	C₂³	1	1	yes	characteristic
253	C₂×#63225	C₂³	1	1	yes	characteristic
254	C₂×#63225	C₂³	1	1	yes	characteristic
255	C₂×#63225	C₂³	1	1	yes	characteristic
256	C₂×#63225	C₂³	1	1	yes	characteristic
257	C₂×#63225	C₂³	1	1	yes	characteristic
258	C₂×#63225	C₂³	1	1	yes	characteristic
259	C₂×#63225	C₂³	1	1	yes	characteristic
260	C₂×#63225	C₂³	1	1	yes	characteristic
261	C₂×#63225	C₂³	1	1	yes	characteristic
262	C₂×#63225	C₂³	1	1	yes	characteristic
263	C₂×#63225	C₂³	1	1	yes	characteristic
264	C₂×#63225	C₂³	1	1	yes	characteristic
265	C₂×#63225	C₂³	1	1	yes	characteristic
266	C₂×#63225	C₂³	1	1	yes	characteristic
267	C₂×#63225	C₂³	1	1	yes	characteristic
268	C₂×#63225	C₂³	1	1	yes	characteristic
269	C₂×#63225	C₂³	1	1	yes	characteristic
270	C₂×#63225	C₂³	1	1	yes	characteristic
271	C₂×#63225	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₇	Q₈	1	8	yes	complemented
273	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
291	#10587575	—	2	4	no	—
292	#10587575	—	2	4	no	—
293	#10587574	—	2	4	no	—
294	#10587563	—	2	4	no	—
295	#10587563	—	2	4	no	—
296	C₄×Dic₃₄	—	4	2	no	—
297	C₄×Dic₃₄	—	4	2	no	—
298	C₄×Dic₃₄	—	4	2	no	—
299	C₁₇×#95	C₂³	1	1	yes	characteristic
300	C₁₇×#95	C₂³	1	1	yes	characteristic
301	C₁₇×#95	C₂³	1	1	yes	characteristic
302	C₁₇×#95	C₂³	1	1	yes	characteristic
303	C₁₇×#95	C₂³	1	1	yes	characteristic
304	C₁₇×#95	C₂³	1	1	yes	characteristic
305	C₁₇×#95	C₂³	1	1	yes	characteristic
306	C₁₇×#95	C₂³	1	1	yes	characteristic
307	C₁₇×#95	C₂³	1	1	yes	characteristic
308	C₁₇×#95	C₂³	1	1	yes	characteristic
309	#10587502	C₂³	1	1	yes	characteristic
310	#10587502	C₂³	1	1	yes	characteristic
311	#10587502	C₂³	1	1	yes	characteristic
312	#10587502	C₂³	1	1	yes	characteristic
313	#10587502	C₂³	1	1	yes	characteristic
314	#10587502	C₂³	1	1	yes	characteristic
315	#10587502	C₂³	1	1	yes	characteristic
316	#10587502	C₂³	1	1	yes	characteristic
317	#10587502	C₂³	1	1	yes	characteristic
318	#10587502	C₂³	1	1	yes	characteristic
319	#10587502	C₂³	1	1	yes	characteristic
320	#10587502	C₂³	1	1	yes	characteristic
321	#10587502	C₂³	1	1	yes	characteristic
322	#10587502	C₂³	1	1	yes	characteristic
323	#10587502	C₂³	1	1	yes	characteristic
324	#10587502	C₂³	1	1	yes	characteristic
325	#10587502	C₂³	1	1	yes	characteristic
326	#10587502	C₂³	1	1	yes	characteristic
327	#10587502	C₂³	1	1	yes	characteristic
328	#10587502	C₂³	1	1	yes	characteristic
329	#10587502	C₂³	1	1	yes	characteristic
330	#10587502	C₂³	1	1	yes	characteristic
331	#10587502	C₂³	1	1	yes	characteristic
332	#10587502	C₂³	1	1	yes	characteristic
333	#10587502	C₂³	1	1	yes	characteristic
334	#10587502	C₂³	1	1	yes	characteristic
335	#10587502	C₂³	1	1	yes	characteristic
336	#10587502	C₂³	1	1	yes	characteristic
337	#10587502	C₂³	1	1	yes	characteristic
338	#10587502	C₂³	1	1	yes	characteristic
339	#10587502	C₂³	1	1	yes	characteristic
340	#10587502	C₂³	1	1	yes	characteristic
341	#10587502	C₂³	1	1	yes	characteristic
342	#10587502	C₂³	1	1	yes	characteristic
343	#10587502	C₂³	1	1	yes	characteristic
344	#10587502	C₂³	1	1	yes	characteristic
345	#10587502	C₂³	1	1	yes	characteristic
346	#10587502	C₂³	1	1	yes	characteristic
347	#10587502	C₂³	1	1	yes	characteristic
348	#10587502	C₂³	1	1	yes	characteristic
349	#10587502	C₂³	1	1	yes	characteristic
350	#10587502	C₂³	1	1	yes	characteristic
351	#10587502	C₂³	1	1	yes	characteristic
352	#10587502	C₂³	1	1	yes	characteristic
353	#10587502	C₂³	1	1	yes	characteristic
354	#10587502	C₂³	1	1	yes	characteristic
355	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
356	C₂×Q₈×C₁₇	—	2	2	no	—
357	C₂×Q₈×C₁₇	—	4	1	no	—
358	C₂×Q₈×C₁₇	—	4	1	no	—
359	C₂²×C₄×C₁₇	—	2	2	no	—
360	C₂²×C₄×C₁₇	—	2	2	no	—
361	C₂²×C₄×C₁₇	C₂×Q₈	1	4	yes	—
362	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₇	—	2	2	no	—
377	C₂²×Dic₁₇	—	2	2	no	—
378	C₂²×Dic₁₇	—	4	1	no	—
379	C₂²×Dic₁₇	—	4	1	no	—
380	C₂²×Dic₁₇	C₂×Q₈	1	4	yes	—
381	C₂²×Dic₁₇	C₂×Q₈	1	4	yes	—
382	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
398	C₂×Dic₃₄	—	2	2	no	—
399	C₂×Dic₃₄	—	2	2	no	—
400	C₂×Dic₃₄	—	2	2	no	—
401	C₂×Dic₃₄	—	4	1	no	—
402	C₂×Dic₃₄	—	4	1	no	—
403	C₂×Dic₃₄	—	4	1	no	—
404	C₂×Dic₃₄	—	4	1	no	—
405	C₂×Dic₃₄	—	4	1	no	—
406	C₂×Dic₃₄	—	4	1	no	—
407	C₄⋊C₄×C₁₇	—	2	2	no	—
408	C₄⋊C₄×C₁₇	—	2	2	no	—
409	C₄⋊C₄×C₁₇	—	2	2	no	—
410	C₄⋊C₄×C₁₇	—	4	1	no	—
411	C₄⋊C₄×C₁₇	—	4	1	no	—
412	C₄⋊C₄×C₁₇	—	4	1	no	—
413	C₄⋊C₄×C₁₇	—	4	1	no	—
414	C₄⋊C₄×C₁₇	—	4	1	no	—
415	C₄⋊C₄×C₁₇	—	4	1	no	—
416	C₄⋊C₄×C₁₇	—	4	1	no	—
417	C₄⋊C₄×C₁₇	—	4	1	no	—
418	C₂²⋊C₄×C₁₇	—	2	2	no	—
419	C₂²⋊C₄×C₁₇	—	2	2	no	—
420	C₂²⋊C₄×C₁₇	—	4	1	no	—
421	C₂²⋊C₄×C₁₇	—	4	1	no	—
422	C₂²⋊C₄×C₁₇	—	4	1	no	—
423	C₂²⋊C₄×C₁₇	—	4	1	no	—
424	C₄²×C₁₇	—	2	2	no	—
425	C₄²×C₁₇	—	2	2	no	—
426	C₄²×C₁₇	—	2	2	no	—
427	C₄²×C₁₇	—	2	2	no	—
428	C₄²×C₁₇	—	2	2	no	—
429	C₄²×C₁₇	—	2	2	no	—
430	C₂²⋊Dic₁₇	—	2	2	no	—
431	C₂²⋊Dic₁₇	—	2	2	no	—
432	C₂²⋊Dic₁₇	—	4	1	no	—
433	C₂²⋊Dic₁₇	—	4	1	no	—
434	C₂²⋊Dic₁₇	—	4	1	no	—
435	C₂²⋊Dic₁₇	—	4	1	no	—
436	C₄⋊Dic₁₇	—	2	2	no	—
437	C₄⋊Dic₁₇	—	2	2	no	—
438	C₄⋊Dic₁₇	—	2	2	no	—
439	C₄⋊Dic₁₇	—	4	1	no	—
440	C₄⋊Dic₁₇	—	4	1	no	—
441	C₄⋊Dic₁₇	—	4	1	no	—
442	C₄⋊Dic₁₇	—	4	1	no	—
443	C₄⋊Dic₁₇	—	4	1	no	—
444	C₄⋊Dic₁₇	—	4	1	no	—
445	C₄⋊Dic₁₇	—	4	1	no	—
446	C₄⋊Dic₁₇	—	4	1	no	—
447	#63225	—	2	2	no	—
448	#63225	—	2	2	no	—
449	#63225	—	2	2	no	—
450	#63225	—	2	2	no	—
451	#63225	—	2	2	no	—
452	#63225	—	2	2	no	—
453	#63225	—	2	2	no	—
454	#63225	—	2	2	no	—
455	#63225	—	2	2	no	—
456	#63225	—	2	2	no	—
457	#63225	—	2	2	no	—
458	#63225	—	2	2	no	—
459	#63225	—	2	2	no	—
460	#63225	—	2	2	no	—
461	#63225	—	2	2	no	—
462	#63225	—	2	2	no	—
463	#63225	—	2	2	no	—
464	#63225	—	2	2	no	—
465	#63225	—	4	1	no	—
466	#63225	—	4	1	no	—
467	#63225	—	4	1	no	—
468	#63225	—	4	1	no	—
469	#63225	—	4	1	no	—
470	#63225	—	4	1	no	—
471	#63225	—	4	1	no	—
472	#63225	—	4	1	no	—
473	#63225	—	4	1	no	—
474	#63225	—	4	1	no	—
475	#63225	—	4	1	no	—
476	#63225	—	4	1	no	—
477	#63225	—	4	1	no	—
478	#63225	—	4	1	no	—
479	#63225	—	4	1	no	—
480	#63225	—	4	1	no	—
481	C₄×Dic₁₇	—	2	2	no	—
482	C₄×Dic₁₇	—	2	2	no	—
483	C₄×Dic₁₇	—	2	2	no	—
484	C₄×Dic₁₇	—	2	2	no	—
485	C₄×Dic₁₇	—	2	2	no	—
486	C₄×Dic₁₇	—	2	2	no	—
487	C₄×Dic₁₇	—	2	2	no	—
488	C₄×Dic₁₇	—	2	2	no	—
489	C₄×Dic₁₇	—	4	1	no	—
490	C₄×Dic₁₇	—	4	1	no	—
491	C₄×Dic₁₇	—	4	1	no	—
492	C₄×Dic₁₇	—	4	1	no	—
493	C₄×Dic₁₇	C₂×Q₈	1	4	yes	—
494	C₄×Dic₁₇	C₂×Q₈	1	4	yes	—
495	C₄×Dic₁₇	C₂×Q₈	1	4	yes	—
496	C₄×Dic₁₇	C₂×Q₈	1	4	yes	—
497	C₄×Dic₁₇	#41	1	4	yes	—
498	C₄×Dic₁₇	#41	1	4	yes	—
499	#34625	—	17	1	no	maximal, Sylow
500	C₂³×C₁₇	—	2	1	no	—
501	C₂³×C₁₇	—	2	1	no	—
502	C₂³×C₁₇	—	2	1	no	—
503	C₂³×C₁₇	—	2	1	no	—
504	C₂³×C₁₇	—	2	1	no	—
505	C₂³×C₁₇	—	2	1	no	—
506	C₂³×C₁₇	C₂²×Q₈	1	2	yes	—
507	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
508	Q₈×C₁₇	—	4	4	no	—
509	C₂×C₄×C₁₇	—	2	1	no	—
510	C₂×C₄×C₁₇	—	2	1	no	—
511	C₂×C₄×C₁₇	—	2	1	no	—
512	C₂×C₄×C₁₇	—	2	1	no	—
513	C₂×C₄×C₁₇	—	2	1	no	—
514	C₂×C₄×C₁₇	—	2	1	no	—
515	C₂×C₄×C₁₇	—	2	8	no	—
516	C₂×C₄×C₁₇	—	2	1	no	—
517	C₂×C₄×C₁₇	—	2	1	no	—
518	C₂×C₄×C₁₇	—	2	1	no	—
519	C₂×C₄×C₁₇	—	2	1	no	—
520	C₂×C₄×C₁₇	—	2	1	no	—
521	C₂×C₄×C₁₇	—	2	1	no	—
522	C₂×C₄×C₁₇	—	2	1	no	—
523	C₂×C₄×C₁₇	—	2	1	no	—
524	C₂×C₄×C₁₇	—	2	1	no	—
525	C₂×C₄×C₁₇	—	2	1	no	—
526	C₂×C₄×C₁₇	—	2	1	no	—
527	C₂×C₄×C₁₇	—	2	1	no	—
528	C₂×C₄×C₁₇	—	2	1	no	—
529	C₂×C₄×C₁₇	—	2	1	no	—
530	C₂×C₄×C₁₇	—	2	1	no	—
531	C₂×C₄×C₁₇	—	2	1	no	—
532	C₂×C₄×C₁₇	—	2	1	no	—
533	C₂×C₄×C₁₇	—	2	1	no	—
534	C₂×C₄×C₁₇	—	2	1	no	—
535	C₂×C₄×C₁₇	—	2	1	no	—
536	C₂×C₄×C₁₇	—	2	1	no	—
537	C₂×C₄×C₁₇	—	2	1	no	—
538	C₂×C₄×C₁₇	—	2	1	no	—
539	C₂×C₄×C₁₇	—	2	1	no	—
540	C₂×C₄×C₁₇	—	2	1	no	—
541	C₂×C₄×C₁₇	—	2	1	no	—
542	C₂×C₄×C₁₇	—	2	1	no	—
543	C₂×C₄×C₁₇	—	2	1	no	—
544	C₂×C₄×C₁₇	—	2	1	no	—
545	C₂×C₄×C₁₇	—	2	1	no	—
546	C₂×C₄×C₁₇	C₂²×Q₈	1	2	yes	—
547	C₂×C₄×C₁₇	C₂²×Q₈	1	2	yes	—
548	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
549	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
550	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
551	C₂×C₄×C₁₇	2₋¹⁺⁴	1	2	yes	—
552	C₂×Dic₁₇	—	2	1	no	—
553	C₂×Dic₁₇	—	2	1	no	—
554	C₂×Dic₁₇	—	2	1	no	—
555	C₂×Dic₁₇	—	2	1	no	—
556	C₂×Dic₁₇	—	2	1	no	—
557	C₂×Dic₁₇	—	2	1	no	—
558	C₂×Dic₁₇	—	2	1	no	—
559	C₂×Dic₁₇	—	2	1	no	—
560	C₂×Dic₁₇	—	2	1	no	—
561	C₂×Dic₁₇	—	2	1	no	—
562	C₂×Dic₁₇	—	2	8	no	—
563	C₂×Dic₁₇	—	2	1	no	—
564	C₂×Dic₁₇	—	2	1	no	—
565	C₂×Dic₁₇	—	2	1	no	—
566	C₂×Dic₁₇	—	2	1	no	—
567	C₂×Dic₁₇	—	2	1	no	—
568	C₂×Dic₁₇	—	2	1	no	—
569	C₂×Dic₁₇	—	2	1	no	—
570	C₂×Dic₁₇	—	2	1	no	—
571	C₂×Dic₁₇	—	2	1	no	—
572	C₂×Dic₁₇	—	2	1	no	—
573	C₂×Dic₁₇	—	2	1	no	—
574	C₂×Dic₁₇	—	2	1	no	—
575	C₂×Dic₁₇	—	2	1	no	—
576	C₂×Dic₁₇	—	2	1	no	—
577	C₂×Dic₁₇	—	2	1	no	—
578	C₂×Dic₁₇	—	2	1	no	—
579	C₂×Dic₁₇	—	2	1	no	—
580	C₂×Dic₁₇	—	2	1	no	—
581	C₂×Dic₁₇	—	2	1	no	—
582	C₂×Dic₁₇	—	2	1	no	—
583	C₂×Dic₁₇	—	2	1	no	—
584	C₂×Dic₁₇	—	2	1	no	—
585	C₂×Dic₁₇	—	2	1	no	—
586	C₂×Dic₁₇	—	2	1	no	—
587	C₂×Dic₁₇	—	2	1	no	—
588	C₂×Dic₁₇	—	2	1	no	—
589	C₂×Dic₁₇	—	2	1	no	—
590	C₂×Dic₁₇	—	2	1	no	—
591	C₂×Dic₁₇	—	2	1	no	—
592	C₂×Dic₁₇	—	2	1	no	—
593	C₂×Dic₁₇	—	4	4	no	—
594	C₂×Dic₁₇	C₂²×Q₈	1	2	yes	—
595	C₂×Dic₁₇	C₂²×Q₈	1	2	yes	—
596	C₂×Dic₁₇	C₂²×Q₈	1	2	yes	—
597	C₂×Dic₁₇	C₂²×Q₈	1	2	yes	—
598	C₂×Dic₁₇	C₂×#41	1	2	yes	—
599	C₂×Dic₁₇	C₂×#41	1	2	yes	—
600	C₂×Dic₁₇	C₂×#41	1	2	yes	—
601	C₂×Dic₁₇	C₂×#41	1	2	yes	—
602	Dic₃₄	—	4	4	no	—
603	Dic₃₄	—	4	4	no	—
604	Dic₃₄	—	4	4	no	—
605	#2667	—	17	1	no	—
606	#2667	—	17	1	no	—
607	#2666	—	17	1	no	—
608	#2666	—	17	1	no	—
609	#2666	—	17	1	no	—
610	#2666	—	17	1	no	—
611	#2665	—	17	1	no	—
612	#2665	—	17	1	no	—
613	#2660	—	17	1	no	—
614	#2660	—	17	1	no	—
615	#2647	—	17	1	no	—
616	#2647	—	17	1	no	—
617	#2629	—	17	1	no	—
618	#2629	—	17	1	no	—
619	#2628	—	17	1	no	—
620	#2628	—	17	1	no	—
621	#2402	—	17	1	no	—
622	#2402	—	17	1	no	—
623	#2399	—	17	1	no	—
624	#2399	—	17	1	no	—
625	#2396	—	17	1	no	—
626	#2396	—	17	1	no	—
627	#2396	—	17	1	no	—
628	#2396	D₁₇	1	1	yes	characteristic
629	C₄×C₄⋊Q₈	—	17	1	no	—
630	C₄×C₄⋊Q₈	—	17	1	no	—
631	C₄×#125	—	17	1	no	—
632	C₄×#125	—	17	1	no	—
633	#2285	—	17	1	no	—
634	#2283	—	17	1	no	—
635	C₄×#117	—	17	1	no	—
636	C₂²×C₁₇	—	2	2	no	—
637	C₂²×C₁₇	—	2	2	no	—
638	C₂²×C₁₇	—	2	2	no	—
639	C₂²×C₁₇	—	4	1	no	—
640	C₂²×C₁₇	—	4	1	no	—
641	C₂²×C₁₇	—	4	1	no	—
642	C₂²×C₁₇	—	4	1	no	—
643	C₂²×C₁₇	C₂³×Q₈	1	1	yes	characteristic
644	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
645	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
646	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
647	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
648	C₂²×C₁₇	#585	1	1	yes	characteristic
649	C₂²×C₁₇	#585	1	1	yes	characteristic
650	C₄×C₁₇	—	2	2	no	—
651	C₄×C₁₇	—	2	2	no	—
652	C₄×C₁₇	—	2	2	no	—
653	C₄×C₁₇	—	4	1	no	—
654	C₄×C₁₇	—	4	1	no	—
655	C₄×C₁₇	—	4	1	no	—
656	C₄×C₁₇	—	4	1	no	—
657	C₄×C₁₇	—	4	1	no	—
658	C₄×C₁₇	—	4	1	no	—
659	C₄×C₁₇	—	4	1	no	—
660	C₄×C₁₇	—	4	1	no	—
661	C₄×C₁₇	—	4	1	no	—
662	C₄×C₁₇	—	4	1	no	—
663	C₄×C₁₇	#544	1	4	yes	—
664	Dic₁₇	—	2	2	no	—
665	Dic₁₇	—	2	2	no	—
666	Dic₁₇	—	2	2	no	—
667	Dic₁₇	—	2	2	no	—
668	Dic₁₇	—	2	2	no	—
669	Dic₁₇	—	4	1	no	—
670	Dic₁₇	—	4	1	no	—
671	Dic₁₇	—	4	1	no	—
672	Dic₁₇	—	4	1	no	—
673	Dic₁₇	—	4	1	no	—
674	Dic₁₇	—	4	1	no	—
675	Dic₁₇	—	4	1	no	—
676	Dic₁₇	—	4	1	no	—
677	Dic₁₇	—	4	1	no	—
678	Dic₁₇	—	4	1	no	—
679	Dic₁₇	#533	1	4	yes	—
680	C₂×C₄⋊Q₈	—	17	1	no	—
681	C₂×C₄⋊Q₈	—	17	1	no	—
682	C₂×#125	—	17	1	no	—
683	C₂×#125	—	17	1	no	—
684	C₂×C₄×Q₈	—	17	1	no	—
685	C₂×C₄×Q₈	—	17	1	no	—
686	C₂×C₄×Q₈	—	17	1	no	—
687	C₂×C₄×Q₈	C₂×D₁₇	1	1	yes	characteristic
688	C₂×#117	—	17	1	no	—
689	C₂×#117	—	17	1	no	—
690	C₂×#117	—	17	1	no	—
691	C₂×#117	C₂×D₁₇	1	1	yes	characteristic
692	C₂²×C₄²	—	17	1	no	—
693	#400	—	17	1	no	—
694	#400	—	17	1	no	—
695	#400	—	17	1	no	—
696	#400	—	17	1	no	—
697	#400	—	17	1	no	—
698	#400	—	17	1	no	—
699	#400	—	17	1	no	—
700	#400	—	17	1	no	—
701	#400	—	17	1	no	—
702	#400	—	17	1	no	—
703	#400	—	17	1	no	—
704	#400	C₂×D₁₇	1	1	yes	characteristic
705	#399	—	17	1	no	—
706	#399	—	17	1	no	—
707	#399	—	17	1	no	—
708	#399	C₂×D₁₇	1	1	yes	characteristic
709	#398	—	17	1	no	—
710	#398	—	17	1	no	—
711	#398	—	17	1	no	—
712	#398	—	17	1	no	—
713	#398	—	17	1	no	—
714	#398	—	17	1	no	—
715	#398	—	17	1	no	—
716	#398	—	17	1	no	—
717	#398	—	17	1	no	—
718	#398	—	17	1	no	—
719	#398	—	17	1	no	—
720	#398	—	17	1	no	—
721	#398	—	17	1	no	—
722	#398	—	17	1	no	—
723	#398	—	17	1	no	—
724	#398	—	17	1	no	—
725	#398	—	17	1	no	—
726	#398	—	17	1	no	—
727	#398	—	17	1	no	—
728	#398	—	17	1	no	—
729	#398	—	17	1	no	—
730	#398	—	17	1	no	—
731	#398	C₂×D₁₇	1	1	yes	characteristic
732	#398	C₂×D₁₇	1	1	yes	characteristic
733	#396	—	17	1	no	—
734	#396	—	17	1	no	—
735	#396	—	17	1	no	—
736	#396	—	17	1	no	—
737	#396	—	17	1	no	—
738	#396	—	17	1	no	—
739	#396	C₂×D₁₇	1	1	yes	characteristic
740	#396	C₂×D₁₇	1	1	yes	characteristic
741	#395	—	17	1	no	—
742	#395	—	17	1	no	—
743	#395	—	17	1	no	—
744	#395	—	17	1	no	—
745	#395	—	17	1	no	—
746	#395	—	17	1	no	—
747	#395	—	17	1	no	—
748	#395	—	17	1	no	—
749	#395	—	17	1	no	—
750	#395	—	17	1	no	—
751	#395	—	17	1	no	—
752	#395	C₂×D₁₇	1	1	yes	characteristic
753	#393	—	17	1	no	—
754	#393	—	17	1	no	—
755	#393	—	17	1	no	—
756	#393	C₂×D₁₇	1	1	yes	characteristic
757	#391	—	17	1	no	—
758	#391	—	17	1	no	—
759	#391	—	17	1	no	—
760	#391	—	17	1	no	—
761	#389	—	17	1	no	—
762	#389	—	17	1	no	—
763	#389	—	17	1	no	—
764	#389	—	17	1	no	—
765	#389	—	17	1	no	—
766	#389	—	17	1	no	—
767	#389	—	17	1	no	—
768	#389	—	17	1	no	—
769	#389	—	17	1	no	—
770	#389	—	17	1	no	—
771	#389	—	17	1	no	—
772	#389	—	17	1	no	—
773	#387	—	17	1	no	—
774	#387	—	17	1	no	—
775	#387	—	17	1	no	—
776	#387	—	17	1	no	—
777	#387	—	17	1	no	—
778	#387	—	17	1	no	—
779	#387	—	17	1	no	—
780	#387	—	17	1	no	—
781	#384	—	17	1	no	—
782	#384	—	17	1	no	—
783	#384	—	17	1	no	—
784	#384	—	17	1	no	—
785	#383	—	17	1	no	—
786	#383	—	17	1	no	—
787	#382	—	17	1	no	—
788	#382	—	17	1	no	—
789	#382	—	17	1	no	—
790	#382	—	17	1	no	—
791	#382	—	17	1	no	—
792	#382	—	17	1	no	—
793	#381	—	17	1	no	—
794	#381	—	17	1	no	—
795	#380	—	17	1	no	—
796	#380	—	17	1	no	—
797	#380	—	17	1	no	—
798	#380	—	17	1	no	—
799	#380	—	17	1	no	—
800	#380	—	17	1	no	—
801	C₄×C₄⋊C₄	—	17	1	no	—
802	C₄×C₄⋊C₄	—	17	1	no	—
803	C₄×C₄⋊C₄	—	17	1	no	—
804	C₄×C₄⋊C₄	—	17	1	no	—
805	C₄×C₄⋊C₄	—	17	1	no	—
806	C₄×C₄⋊C₄	—	17	1	no	—
807	C₄×C₄⋊C₄	—	17	1	no	—
808	C₄×C₄⋊C₄	—	17	1	no	—
809	C₄×C₄⋊C₄	—	17	1	no	—
810	C₄×C₄⋊C₄	—	17	1	no	—
811	C₄×C₄⋊C₄	—	17	1	no	—
812	C₄×C₄⋊C₄	—	17	1	no	—
813	C₄×C₄⋊C₄	—	17	1	no	—
814	C₄×C₄⋊C₄	—	17	1	no	—
815	C₄×C₄⋊C₄	—	17	1	no	—
816	C₄×C₄⋊C₄	—	17	1	no	—
817	C₄×C₄⋊C₄	—	17	1	no	—
818	C₄×C₄⋊C₄	—	17	1	no	—
819	C₄×C₄⋊C₄	—	17	1	no	—
820	C₄×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
821	C₄×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
822	C₄×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
823	C₄×C₂²⋊C₄	—	17	1	no	—
824	C₄×C₂²⋊C₄	—	17	1	no	—
825	C₄×C₂²⋊C₄	—	17	1	no	—
826	C₄×C₂²⋊C₄	—	17	1	no	—
827	C₄×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
828	C₄×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
829	#376	—	17	1	no	—
830	#376	—	17	1	no	—
831	#376	—	17	1	no	—
832	#376	—	17	1	no	—
833	C₄³	—	17	1	no	—
834	C₄³	—	17	1	no	—
835	C₂×C₁₇	—	4	2	no	—
836	C₂×C₁₇	C₂×#533	1	1	yes	characteristic
837	C₂×C₁₇	C₂×#544	1	1	yes	characteristic
838	C₂×C₁₇	#3458	1	1	yes	characteristic
839	C₂×C₁₇	#3460	1	1	yes	characteristic
840	C₂×C₁₇	#3460	1	1	yes	characteristic
841	C₂×C₁₇	#3461	1	1	yes	characteristic
842	C₂×C₁₇	#3461	1	1	yes	characteristic
843	C₂²×Q₈	—	17	1	no	—
844	C₂²×Q₈	—	17	1	no	—
845	C₂²×Q₈	—	17	1	no	—
846	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
847	C₂³×C₄	—	17	1	no	—
848	C₂³×C₄	—	17	1	no	—
849	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
850	C₄⋊Q₈	—	34	4	no	—
851	C₄⋊Q₈	—	34	4	no	—
852	#125	—	34	4	no	—
853	#125	—	34	4	no	—
854	C₄×Q₈	—	4	2	no	—
855	C₄×Q₈	—	68	2	no	—
856	C₄×Q₈	—	68	2	no	—
857	C₄×Q₈	—	68	2	no	—
858	#117	—	4	2	no	—
859	#117	—	34	4	no	—
860	#117	—	34	4	no	—
861	#117	—	68	2	no	—
862	C₂×C₄⋊C₄	—	17	1	no	—
863	C₂×C₄⋊C₄	—	17	1	no	—
864	C₂×C₄⋊C₄	—	17	1	no	—
865	C₂×C₄⋊C₄	—	17	1	no	—
866	C₂×C₄⋊C₄	—	17	1	no	—
867	C₂×C₄⋊C₄	—	17	1	no	—
868	C₂×C₄⋊C₄	—	17	1	no	—
869	C₂×C₄⋊C₄	—	17	1	no	—
870	C₂×C₄⋊C₄	—	17	1	no	—
871	C₂×C₄⋊C₄	—	17	1	no	—
872	C₂×C₄⋊C₄	—	17	1	no	—
873	C₂×C₄⋊C₄	—	17	1	no	—
874	C₂×C₄⋊C₄	—	17	1	no	—
875	C₂×C₄⋊C₄	—	17	1	no	—
876	C₂×C₄⋊C₄	—	17	1	no	—
877	C₂×C₄⋊C₄	—	17	1	no	—
878	C₂×C₄⋊C₄	—	17	1	no	—
879	C₂×C₄⋊C₄	—	17	1	no	—
880	C₂×C₄⋊C₄	—	17	1	no	—
881	C₂×C₄⋊C₄	—	17	1	no	—
882	C₂×C₄⋊C₄	—	17	1	no	—
883	C₂×C₄⋊C₄	—	17	1	no	—
884	C₂×C₄⋊C₄	—	17	1	no	—
885	C₂×C₄⋊C₄	—	17	1	no	—
886	C₂×C₄⋊C₄	—	17	1	no	—
887	C₂×C₄⋊C₄	—	17	1	no	—
888	C₂×C₄⋊C₄	—	17	1	no	—
889	C₂×C₄⋊C₄	—	17	1	no	—
890	C₂×C₄⋊C₄	—	17	1	no	—
891	C₂×C₄⋊C₄	—	17	1	no	—
892	C₂×C₄⋊C₄	—	17	1	no	—
893	C₂×C₄⋊C₄	—	17	1	no	—
894	C₂×C₄⋊C₄	—	17	1	no	—
895	C₂×C₄⋊C₄	—	17	1	no	—
896	C₂×C₄⋊C₄	—	17	1	no	—
897	C₂×C₄⋊C₄	—	17	1	no	—
898	C₂×C₄⋊C₄	—	17	1	no	—
899	C₂×C₄⋊C₄	—	17	1	no	—
900	C₂×C₄⋊C₄	—	17	1	no	—
901	C₂×C₄⋊C₄	—	17	1	no	—
902	C₂×C₄⋊C₄	—	17	1	no	—
903	C₂×C₄⋊C₄	—	17	1	no	—
904	C₂×C₄⋊C₄	—	17	1	no	—
905	C₂×C₄⋊C₄	—	17	1	no	—
906	C₂×C₄⋊C₄	—	17	1	no	—
907	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	—	17	1	no	—
919	C₂×C₂²⋊C₄	—	17	1	no	—
920	C₂×C₂²⋊C₄	—	17	1	no	—
921	C₂×C₂²⋊C₄	—	17	1	no	—
922	C₂×C₂²⋊C₄	—	17	1	no	—
923	C₂×C₂²⋊C₄	—	17	1	no	—
924	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
930	C₂×C₄²	—	17	8	no	—
931	C₂×C₄²	—	17	1	no	—
932	C₂×C₄²	—	17	1	no	—
933	C₂×C₄²	—	17	1	no	—
934	C₂×C₄²	—	17	1	no	—
935	C₂×C₄²	—	17	1	no	—
936	C₂×C₄²	—	17	1	no	—
937	C₂×C₄²	—	17	1	no	—
938	C₂×C₄²	—	17	1	no	—
939	C₂×C₄²	—	17	1	no	—
940	C₂×C₄²	—	17	1	no	—
941	C₂×C₄²	—	17	1	no	—
942	C₂×C₄²	—	17	1	no	—
943	C₂×C₄²	—	17	1	no	—
944	C₂×C₄²	—	17	1	no	—
945	C₂×C₄²	—	17	1	no	—
946	C₂×C₄²	—	17	1	no	—
947	C₂×C₄²	—	17	1	no	—
948	C₂×C₄²	—	17	1	no	—
949	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
950	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
951	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
952	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
953	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
954	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
955	#95	—	17	1	no	—
956	#95	—	17	1	no	—
957	#95	—	17	1	no	—
958	#95	—	17	1	no	—
959	#95	—	17	1	no	—
960	#95	—	17	1	no	—
961	#95	—	17	1	no	—
962	#95	—	17	1	no	—
963	#95	—	17	1	no	—
964	#95	—	17	1	no	—
965	#95	—	17	1	no	—
966	#95	—	17	1	no	—
967	#95	—	17	1	no	—
968	#95	—	17	1	no	—
969	#95	—	17	1	no	—
970	#95	—	17	1	no	—
971	#95	—	17	1	no	—
972	#95	—	17	1	no	—
973	#95	—	17	1	no	—
974	#95	—	17	1	no	—
975	#95	—	17	1	no	—
976	#95	—	17	1	no	—
977	#95	—	17	1	no	—
978	#95	—	17	1	no	—
979	#95	—	17	1	no	—
980	#95	—	17	1	no	—
981	#95	—	17	1	no	—
982	#95	—	17	1	no	—
983	#95	—	17	1	no	—
984	#95	—	17	1	no	—
985	#95	—	17	1	no	—
986	#95	—	17	1	no	—
987	#95	—	17	1	no	—
988	#95	—	17	1	no	—
989	#95	—	17	1	no	—
990	#95	—	17	1	no	—
991	#95	—	17	1	no	—
992	#95	—	17	1	no	—
993	#95	—	17	1	no	—
994	#95	—	17	1	no	—
995	#95	—	17	1	no	—
996	#95	—	17	1	no	—
997	#95	—	17	1	no	—
998	#95	—	17	1	no	—
999	#95	—	17	1	no	—
1000	#95	—	17	1	no	—
1001	#95	C₂²×D₁₇	1	1	yes	characteristic
1002	#95	C₂²×D₁₇	1	1	yes	characteristic
1003	#95	C₂²×D₁₇	1	1	yes	characteristic
1004	#95	C₂²×D₁₇	1	1	yes	characteristic
1005	#95	C₂²×D₁₇	1	1	yes	characteristic
1006	#95	C₂²×D₁₇	1	1	yes	characteristic
1007	#95	C₂²×D₁₇	1	1	yes	characteristic
1008	#95	C₂²×D₁₇	1	1	yes	characteristic
1009	#95	C₂²×D₁₇	1	1	yes	characteristic
1010	#95	C₂²×D₁₇	1	1	yes	characteristic
1011	C₁₇	#34625	1	1	yes	characteristic, complemented, Sylow
1012	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1013	C₂×Q₈	—	2	2	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	34	2	no	—
1017	C₂×Q₈	—	34	2	no	—
1018	C₂×Q₈	—	34	2	no	—
1019	C₂×Q₈	—	68	1	no	—
1020	C₂×Q₈	—	68	1	no	—
1021	C₂×Q₈	—	68	1	no	—
1022	C₂×Q₈	—	68	1	no	—
1023	C₂×Q₈	—	68	1	no	—
1024	C₂×Q₈	—	68	1	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	17	1	no	—
1028	C₂²×C₄	—	17	4	no	—
1029	C₂²×C₄	—	17	1	no	—
1030	C₂²×C₄	—	17	1	no	—
1031	C₂²×C₄	—	17	1	no	—
1032	C₂²×C₄	—	17	1	no	—
1033	C₂²×C₄	—	17	1	no	—
1034	C₂²×C₄	—	17	4	no	—
1035	C₂²×C₄	—	17	1	no	—
1036	C₂²×C₄	—	17	1	no	—
1037	C₂²×C₄	—	17	1	no	—
1038	C₂²×C₄	—	17	1	no	—
1039	C₂²×C₄	—	17	1	no	—
1040	C₂²×C₄	—	17	1	no	—
1041	C₂²×C₄	—	17	1	no	—
1042	C₂²×C₄	—	17	1	no	—
1043	C₂²×C₄	—	17	1	no	—
1044	C₂²×C₄	—	17	1	no	—
1045	C₂²×C₄	—	34	2	no	—
1046	C₂²×C₄	—	34	2	no	—
1047	C₂²×C₄	—	68	1	no	—
1048	C₂²×C₄	—	68	1	no	—
1049	C₂²×C₄	Q₈×D₁₇	1	4	yes	—
1050	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	34	2	no	—
1076	C₄⋊C₄	—	34	2	no	—
1077	C₄⋊C₄	—	34	2	no	—
1078	C₄⋊C₄	—	34	2	no	—
1079	C₄⋊C₄	—	34	2	no	—
1080	C₄⋊C₄	—	34	2	no	—
1081	C₄⋊C₄	—	34	2	no	—
1082	C₄⋊C₄	—	34	2	no	—
1083	C₄⋊C₄	—	34	2	no	—
1084	C₄⋊C₄	—	34	2	no	—
1085	C₄⋊C₄	—	34	2	no	—
1086	C₄⋊C₄	—	34	2	no	—
1087	C₄⋊C₄	—	34	2	no	—
1088	C₄⋊C₄	—	34	2	no	—
1089	C₄⋊C₄	—	34	2	no	—
1090	C₄⋊C₄	—	34	2	no	—
1091	C₄⋊C₄	—	34	2	no	—
1092	C₄⋊C₄	—	34	2	no	—
1093	C₄⋊C₄	—	34	2	no	—
1094	C₄⋊C₄	—	34	2	no	—
1095	C₄⋊C₄	—	34	2	no	—
1096	C₄⋊C₄	—	68	1	no	—
1097	C₄⋊C₄	—	68	1	no	—
1098	C₄⋊C₄	—	68	1	no	—
1099	C₄⋊C₄	—	68	1	no	—
1100	C₄⋊C₄	—	68	1	no	—
1101	C₄⋊C₄	—	68	1	no	—
1102	C₄⋊C₄	—	68	1	no	—
1103	C₄⋊C₄	—	68	1	no	—
1104	C₄⋊C₄	—	68	1	no	—
1105	C₄⋊C₄	—	68	1	no	—
1106	C₄⋊C₄	—	68	1	no	—
1107	C₄⋊C₄	—	68	1	no	—
1108	C₄⋊C₄	—	68	1	no	—
1109	C₄⋊C₄	—	68	1	no	—
1110	C₄⋊C₄	—	68	1	no	—
1111	C₄⋊C₄	—	68	1	no	—
1112	C₄⋊C₄	—	68	1	no	—
1113	C₄⋊C₄	—	68	1	no	—
1114	C₄⋊C₄	—	68	1	no	—
1115	C₄⋊C₄	—	68	1	no	—
1116	C₄⋊C₄	—	68	1	no	—
1117	C₄⋊C₄	—	68	1	no	—
1118	C₄⋊C₄	—	68	1	no	—
1119	C₄⋊C₄	—	68	1	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	34	2	no	—
1127	C₂²⋊C₄	—	34	2	no	—
1128	C₂²⋊C₄	—	68	1	no	—
1129	C₂²⋊C₄	—	68	1	no	—
1130	C₂²⋊C₄	—	68	1	no	—
1131	C₂²⋊C₄	—	68	1	no	—
1132	C₄²	—	2	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	2	2	no	—
1138	C₄²	—	17	4	no	—
1139	C₄²	—	17	4	no	—
1140	C₄²	—	17	4	no	—
1141	C₄²	—	17	4	no	—
1142	C₄²	—	17	4	no	—
1143	C₄²	—	17	4	no	—
1144	C₄²	—	34	2	no	—
1145	C₄²	—	34	2	no	—
1146	C₄²	—	34	2	no	—
1147	C₄²	—	34	2	no	—
1148	C₄²	—	34	2	no	—
1149	C₄²	—	34	2	no	—
1150	C₄²	—	34	2	no	—
1151	C₄²	—	34	2	no	—
1152	C₄²	—	68	1	no	—
1153	C₄²	—	68	1	no	—
1154	C₄²	—	68	1	no	—
1155	C₄²	—	68	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	C₂×Q₈×D₁₇	1	2	yes	—
1163	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1164	Q₈	—	4	4	no	—
1165	Q₈	—	68	4	no	—
1166	Q₈	—	68	4	no	—
1167	Q₈	—	68	4	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	8	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	17	2	no	—
1206	C₂×C₄	—	17	2	no	—
1207	C₂×C₄	—	17	2	no	—
1208	C₂×C₄	—	17	2	no	—
1209	C₂×C₄	—	17	2	no	—
1210	C₂×C₄	—	17	2	no	—
1211	C₂×C₄	—	17	2	no	—
1212	C₂×C₄	—	17	2	no	—
1213	C₂×C₄	—	34	8	no	—
1214	C₂×C₄	—	34	1	no	—
1215	C₂×C₄	—	34	1	no	—
1216	C₂×C₄	—	34	1	no	—
1217	C₂×C₄	—	34	1	no	—
1218	C₂×C₄	—	34	1	no	—
1219	C₂×C₄	—	34	1	no	—
1220	C₂×C₄	—	34	1	no	—
1221	C₂×C₄	—	34	1	no	—
1222	C₂×C₄	—	34	1	no	—
1223	C₂×C₄	—	34	1	no	—
1224	C₂×C₄	—	34	1	no	—
1225	C₂×C₄	—	34	1	no	—
1226	C₂×C₄	—	34	1	no	—
1227	C₂×C₄	—	34	1	no	—
1228	C₂×C₄	—	34	1	no	—
1229	C₂×C₄	—	34	1	no	—
1230	C₂×C₄	—	34	1	no	—
1231	C₂×C₄	—	34	1	no	—
1232	C₂×C₄	—	34	1	no	—
1233	C₂×C₄	—	34	1	no	—
1234	C₂×C₄	—	34	1	no	—
1235	C₂×C₄	—	34	1	no	—
1236	C₂×C₄	—	34	1	no	—
1237	C₂×C₄	—	34	1	no	—
1238	C₂×C₄	—	34	1	no	—
1239	C₂×C₄	—	34	1	no	—
1240	C₂×C₄	—	34	1	no	—
1241	C₂×C₄	—	34	1	no	—
1242	C₂×C₄	—	34	1	no	—
1243	C₂×C₄	—	34	1	no	—
1244	C₂×C₄	—	34	1	no	—
1245	C₂×C₄	—	34	1	no	—
1246	C₂×C₄	—	34	1	no	—
1247	C₂×C₄	—	34	1	no	—
1248	C₂×C₄	—	34	1	no	—
1249	C₂×C₄	—	34	1	no	—
1250	C₂×C₄	—	34	1	no	—
1251	C₂×C₄	—	34	1	no	—
1252	C₂×C₄	—	34	1	no	—
1253	C₂×C₄	—	34	1	no	—
1254	C₂×C₄	—	68	4	no	—
1255	C₂×C₄	#10587691	1	2	yes	—
1256	C₂×C₄	C₂×Q₈×D₁₇	1	2	yes	—
1257	C₂×C₄	C₂×Q₈×D₁₇	1	2	yes	—
1258	C₂×C₄	#41×D₁₇	1	2	yes	—
1259	C₂×C₄	#41×D₁₇	1	2	yes	—
1260	C₂×C₄	#10587697	1	2	yes	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	C₂²×Q₈×D₁₇	1	1	yes	characteristic
1269	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1270	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1271	C₂²	C₂×#10587691	1	1	yes	characteristic
1272	C₂²	C₂×#10587697	1	1	yes	characteristic
1273	C₂²	#11763645	1	1	yes	characteristic
1274	C₂²	#11763645	1	1	yes	characteristic
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	2	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	17	4	no	—
1289	C₄	—	34	2	no	—
1290	C₄	—	34	2	no	—
1291	C₄	—	34	2	no	—
1292	C₄	—	34	2	no	—
1293	C₄	—	34	2	no	—
1294	C₄	—	68	1	no	—
1295	C₄	—	68	1	no	—
1296	C₄	—	68	1	no	—
1297	C₄	—	68	1	no	—
1298	C₄	—	68	1	no	—
1299	C₄	—	68	1	no	—
1300	C₄	—	68	1	no	—
1301	C₄	—	68	1	no	—
1302	C₄	—	68	1	no	—
1303	C₄	—	68	1	no	—
1304	C₄	#11763438	1	4	yes	—
1305	C₂	—	4	2	no	—
1306	C₂	D₁₇×#533	1	1	yes	characteristic
1307	C₂	C₂×#11763438	1	1	yes	characteristic
1308	C₂	#14542187	1	1	yes	characteristic
1309	C₂	#14542198	1	1	yes	characteristic
1310	C₂	#14542202	1	1	yes	characteristic
1311	C₂	#14542209	1	1	yes	characteristic
1312	C₂	#14542213	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Frattini	C₂³	C₂⁴×D₁₇
Fitting	C₁₇×#2396	C₂
prime radical	C₂⁴×C₁₇	C₂⁴
hypercenter	#2396	D₁₇
hypocenter	C₁₇	#34625
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂²×C₄ ◁ #2396

Complements

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

N	H ≅ G/N	type
3. #14534976	C₂	semidirect
4. #14534974	C₂	semidirect
5. #14534972	C₂	semidirect
6. #14534970	C₂	semidirect
9. #14534907	C₂	semidirect
10. #14534902	C₂	semidirect
11. #14534762	C₂	semidirect
12. #14534758	C₂	semidirect
17. #14532091	C₂	semidirect
18. #14532091	C₂	semidirect
19. #14532078	C₂	semidirect
20. #14532075	C₂	semidirect
24. C₄×#10587574	C₂	semidirect
25. C₄×#10587630	C₂	semidirect
26. C₄×#10587575	C₂	semidirect
27. C₄×#10587575	C₂	semidirect
272. C₂×C₄×Dic₁₇	Q₈	semidirect
1011. C₁₇	#34625	semidirect

Maximal subgroups

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

subgroup	index
#14534979	2
#14534977	2
#14534976	2
#14534974	2
#14534972	2
#14534970	2
#14534955	2
#14534953	2
#14534907	2
#14534902	2
#14534762	2
#14534758	2
#14534613	2
#14534610	2
#14534604	2
#14532091	2
#14532078	2
#14532075	2
#14532058	2
#14532052	2
C₄×#10587574	2
C₄×#10587630	2
C₄×#10587575	2
#14531187	2
#14531178	2
C₄×#10587563	2
C₁₇×#2396	2
#34625	17