Subgroups — #17241541

Order 4352.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537070	C₂	1	1	yes	maximal, characteristic
2	#14537070	C₂	1	1	yes	maximal, characteristic
3	#14535943	C₂	1	1	yes	maximal, characteristic, complemented
4	#14535939	C₂	1	1	yes	maximal, characteristic, complemented
5	#14535935	C₂	1	1	yes	maximal, characteristic, complemented
6	#14535931	C₂	1	1	yes	maximal, characteristic, complemented
7	#14535874	C₂	1	1	yes	maximal, characteristic, complemented
8	#14535870	C₂	1	1	yes	maximal, characteristic, complemented
9	#14535866	C₂	1	1	yes	maximal, characteristic, complemented
10	#14535862	C₂	1	1	yes	maximal, characteristic, complemented
11	#14535363	C₂	1	1	yes	maximal, characteristic, complemented
12	#14535359	C₂	1	1	yes	maximal, characteristic, complemented
13	#14535355	C₂	1	1	yes	maximal, characteristic, complemented
14	#14535351	C₂	1	1	yes	maximal, characteristic, complemented
15	#14535240	C₂	1	1	yes	maximal, characteristic, complemented
16	#14535236	C₂	1	1	yes	maximal, characteristic, complemented
17	#14535232	C₂	1	1	yes	maximal, characteristic, complemented
18	#14535228	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534901	C₂	1	1	yes	maximal, characteristic, complemented
20	#14534756	C₂	1	1	yes	maximal, characteristic, complemented
21	#14533291	C₂	1	1	yes	maximal, characteristic, complemented
22	#14533285	C₂	1	1	yes	maximal, characteristic, complemented
23	#14533283	C₂	1	1	yes	maximal, characteristic, complemented
24	#14533037	C₂	1	1	yes	maximal, characteristic
25	#14533035	C₂	1	1	yes	maximal, characteristic
26	#14533032	C₂	1	1	yes	maximal, characteristic
27	#14533030	C₂	1	1	yes	maximal, characteristic
28	#14531515	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531512	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11762671	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2505	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₇	C₂²	1	1	yes	characteristic
33	C₂×#10587584	C₂²	1	1	yes	characteristic
34	C₂×#10587584	C₂²	1	1	yes	characteristic
35	C₂×#10587584	C₂²	1	1	yes	characteristic
36	C₂×#10587562	C₂²	1	1	yes	characteristic
37	C₂×#10587582	C₂²	1	1	yes	characteristic
38	C₂×#10587582	C₂²	1	1	yes	characteristic
39	C₂×#10587582	C₂²	1	1	yes	characteristic
40	C₂×#10587582	C₂²	1	1	yes	characteristic
41	C₂×#10587564	C₂²	1	1	yes	characteristic
42	C₂×#10587564	C₂²	1	1	yes	characteristic
43	C₂²×#63227	C₂²	1	1	yes	characteristic
44	C₂²×#63227	C₂²	1	1	yes	characteristic
45	#11762751	C₂²	1	1	yes	characteristic, complemented
46	#11762751	C₂²	1	1	yes	characteristic, complemented
47	#11762750	C₂²	1	1	yes	characteristic, complemented
48	#11762750	C₂²	1	1	yes	characteristic, complemented
49	#11762750	C₂²	1	1	yes	characteristic, complemented
50	#11762750	C₂²	1	1	yes	characteristic, complemented
51	#11762750	C₂²	1	1	yes	characteristic, complemented
52	#11762750	C₂²	1	1	yes	characteristic, complemented
53	#11762749	C₂²	1	1	yes	characteristic, complemented
54	#11762749	C₂²	1	1	yes	characteristic, complemented
55	#11762748	C₂²	1	1	yes	characteristic, complemented
56	#11762747	C₂²	1	1	yes	characteristic, complemented
57	#11762747	C₂²	1	1	yes	characteristic, complemented
58	#11762743	C₂²	1	1	yes	characteristic, complemented
59	#11762743	C₂²	1	1	yes	characteristic, complemented
60	#11762743	C₂²	1	1	yes	characteristic, complemented
61	#11762743	C₂²	1	1	yes	characteristic, complemented
62	#11762742	C₂²	1	1	yes	characteristic, complemented
63	#11762742	C₂²	1	1	yes	characteristic, complemented
64	#11762742	C₂²	1	1	yes	characteristic, complemented
65	#11762742	C₂²	1	1	yes	characteristic, complemented
66	#11762740	C₂²	1	1	yes	characteristic, complemented
67	#11762740	C₂²	1	1	yes	characteristic, complemented
68	#11762739	C₂²	1	1	yes	characteristic, complemented
69	#11762738	C₂²	1	1	yes	characteristic
70	#11762738	C₂²	1	1	yes	characteristic
71	#11762738	C₂²	1	1	yes	characteristic
72	#11762738	C₂²	1	1	yes	characteristic
73	#11762738	C₂²	1	1	yes	characteristic
74	#11762738	C₂²	1	1	yes	characteristic
75	#11762736	C₂²	1	1	yes	characteristic
76	#11762736	C₂²	1	1	yes	characteristic
77	#11762736	C₂²	1	1	yes	characteristic
78	#11762735	C₂²	1	1	yes	characteristic
79	#11762735	C₂²	1	1	yes	characteristic
80	#11762735	C₂²	1	1	yes	characteristic
81	#11762733	C₂²	1	1	yes	characteristic
82	#11762731	C₂²	1	1	yes	characteristic
83	#11762731	C₂²	1	1	yes	characteristic
84	#11762731	C₂²	1	1	yes	characteristic
85	#11762730	C₂²	1	1	yes	characteristic, complemented
86	#11762730	C₂²	1	1	yes	characteristic, complemented
87	#11762729	C₂²	1	1	yes	characteristic, complemented
88	#11762729	C₂²	1	1	yes	characteristic, complemented
89	#11762715	C₂²	1	1	yes	characteristic, complemented
90	#11762714	C₂²	1	1	yes	characteristic, complemented
91	#11762713	C₂²	1	1	yes	characteristic, complemented
92	#11762713	C₂²	1	1	yes	characteristic, complemented
93	#11762707	C₂²	1	1	yes	characteristic, complemented
94	#11762706	C₂²	1	1	yes	characteristic, complemented
95	#11762706	C₂²	1	1	yes	characteristic, complemented
96	#11762705	C₂²	1	1	yes	characteristic, complemented
97	#11762705	C₂²	1	1	yes	characteristic, complemented
98	#11762704	C₂²	1	1	yes	characteristic, complemented
99	#11762704	C₂²	1	1	yes	characteristic, complemented
100	#11762701	C₂²	1	1	yes	characteristic
101	#11762701	C₂²	1	1	yes	characteristic
102	#11762701	C₂²	1	1	yes	characteristic
103	#11762700	C₂²	1	1	yes	characteristic
104	#11762700	C₂²	1	1	yes	characteristic
105	#11762700	C₂²	1	1	yes	characteristic
106	#11762699	C₂²	1	1	yes	characteristic
107	#11762699	C₂²	1	1	yes	characteristic
108	#11762699	C₂²	1	1	yes	characteristic
109	#11762698	C₂²	1	1	yes	characteristic
110	#11762698	C₂²	1	1	yes	characteristic
111	#11762698	C₂²	1	1	yes	characteristic
112	#11762696	C₂²	1	1	yes	characteristic, complemented
113	#11762696	C₂²	1	1	yes	characteristic, complemented
114	#11762694	C₂²	1	1	yes	characteristic, complemented
115	#11762694	C₂²	1	1	yes	characteristic, complemented
116	#11762693	C₂²	1	1	yes	characteristic, complemented
117	#11762693	C₂²	1	1	yes	characteristic, complemented
118	#11762692	C₂²	1	1	yes	characteristic, complemented
119	#11762692	C₂²	1	1	yes	characteristic, complemented
120	#11762691	C₂²	1	1	yes	characteristic, complemented
121	#11762691	C₂²	1	1	yes	characteristic, complemented
122	#11762691	C₂²	1	1	yes	characteristic, complemented
123	#11762691	C₂²	1	1	yes	characteristic, complemented
124	#11762690	C₂²	1	1	yes	characteristic, complemented
125	#11762690	C₂²	1	1	yes	characteristic, complemented
126	#11762684	C₂²	1	1	yes	characteristic
127	#11762684	C₂²	1	1	yes	characteristic
128	#11762683	C₂²	1	1	yes	characteristic
129	#11762683	C₂²	1	1	yes	characteristic
130	#11762683	C₂²	1	1	yes	characteristic
131	#11762683	C₂²	1	1	yes	characteristic
132	#11762682	C₂²	1	1	yes	characteristic
133	#11762682	C₂²	1	1	yes	characteristic
134	#11762682	C₂²	1	1	yes	characteristic
135	#11762682	C₂²	1	1	yes	characteristic
136	#11762681	C₂²	1	1	yes	characteristic
137	#11762681	C₂²	1	1	yes	characteristic
138	#11762680	C₂²	1	1	yes	characteristic
139	#11762680	C₂²	1	1	yes	characteristic
140	#11762680	C₂²	1	1	yes	characteristic
141	#11762680	C₂²	1	1	yes	characteristic
142	#11762674	C₂²	1	1	yes	characteristic, complemented
143	#11762673	C₂²	1	1	yes	characteristic, complemented
144	#11762673	C₂²	1	1	yes	characteristic, complemented
145	#11762671	C₂²	1	1	yes	characteristic
146	#11762671	C₂²	1	1	yes	characteristic
147	#11762671	C₂²	1	1	yes	characteristic
148	#11762671	C₂²	1	1	yes	characteristic
149	#11762671	C₂²	1	1	yes	characteristic
150	#11762671	C₂²	1	1	yes	characteristic
151	#11762671	C₂²	1	1	yes	characteristic
152	#11762671	C₂²	1	1	yes	characteristic
153	#11762669	C₂²	1	1	yes	characteristic
154	#11762668	C₂²	1	1	yes	characteristic
155	#11762668	C₂²	1	1	yes	characteristic
156	#11762668	C₂²	1	1	yes	characteristic
157	#11762668	C₂²	1	1	yes	characteristic
158	#11762667	C₂²	1	1	yes	characteristic
159	#11762667	C₂²	1	1	yes	characteristic
160	#11762667	C₂²	1	1	yes	characteristic
161	#11762667	C₂²	1	1	yes	characteristic
162	#11762664	C₂²	1	1	yes	characteristic
163	#11762664	C₂²	1	1	yes	characteristic
164	#11762664	C₂²	1	1	yes	characteristic
165	#11762664	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
169	C₂×#10587502	C₂²	1	1	yes	characteristic
170	C₂×#10587502	C₂²	1	1	yes	characteristic
171	C₂×#10587502	C₂²	1	1	yes	characteristic
172	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
173	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
174	C₁₇×#400	C₂²	1	1	yes	characteristic, complemented
175	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
176	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
177	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
178	C₁₇×#387	C₂²	1	1	yes	characteristic, complemented
179	C₁₇×#385	C₂²	1	1	yes	characteristic
180	C₁₇×#385	C₂²	1	1	yes	characteristic
181	C₁₇×#385	C₂²	1	1	yes	characteristic
182	C₁₇×#385	C₂²	1	1	yes	characteristic
183	C₁₇×#382	C₂²	1	1	yes	characteristic, complemented
184	C₁₇×#380	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
186	C₂×C₁₇×#95	C₂²	1	1	yes	characteristic
187	C₂⁴×D₁₇	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₇	—	2	4	no	—
195	C₂²×C₄×D₁₇	—	4	2	no	—
196	C₂²×C₄×D₁₇	—	4	2	no	—
197	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
201	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
202	C₂²×Dic₃₄	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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×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×#63227	—	4	2	no	—
224	C₂×#63227	—	4	2	no	—
225	C₂×#63227	C₂³	1	1	yes	characteristic
226	C₂×#63227	C₂³	1	1	yes	characteristic
227	C₂×#63227	C₂³	1	1	yes	characteristic
228	C₂×#63227	C₂³	1	1	yes	characteristic
229	C₂×#63227	C₂³	1	1	yes	characteristic
230	C₂×#63227	C₂³	1	1	yes	characteristic
231	C₂×#63227	C₂³	1	1	yes	characteristic
232	C₂×#63227	C₂³	1	1	yes	characteristic
233	C₂×#63227	C₂³	1	1	yes	characteristic
234	C₂×#63227	C₂³	1	1	yes	characteristic
235	C₂×#63227	C₂³	1	1	yes	characteristic
236	C₂×#63227	C₂³	1	1	yes	characteristic
237	C₂×#63227	C₂³	1	1	yes	characteristic
238	C₂×#63227	C₂³	1	1	yes	characteristic
239	C₂×#63227	C₂³	1	1	yes	characteristic
240	C₂×#63227	C₂³	1	1	yes	characteristic
241	C₂×#63227	C₂³	1	1	yes	characteristic
242	C₂×#63227	C₂³	1	1	yes	characteristic
243	C₂×#63227	C₂³	1	1	yes	characteristic
244	C₂×#63227	C₂³	1	1	yes	characteristic
245	C₂×#63227	C₂³	1	1	yes	characteristic
246	C₂×#63227	C₂³	1	1	yes	characteristic
247	C₂×#63227	C₂³	1	1	yes	characteristic
248	C₂×#63227	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₇	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×#63225	C₂³	1	1	yes	characteristic
273	C₂×#63225	C₂³	1	1	yes	characteristic
274	C₂×#63225	C₂³	1	1	yes	characteristic
275	C₂×#63225	C₂³	1	1	yes	characteristic
276	C₂×#63225	C₂³	1	1	yes	characteristic
277	C₂×#63225	C₂³	1	1	yes	characteristic
278	C₂×#63225	C₂³	1	1	yes	characteristic
279	C₂×#63225	C₂³	1	1	yes	characteristic
280	C₂×#63225	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	#10587584	—	4	2	no	—
288	#10587584	—	4	2	no	—
289	#10587584	—	4	2	no	—
290	#10587582	—	4	2	no	—
291	#10587582	—	4	2	no	—
292	#10587582	—	4	2	no	—
293	#10587582	—	4	2	no	—
294	#10587564	—	2	4	no	—
295	#10587564	—	2	4	no	—
296	#10587562	—	4	2	no	—
297	C₁₇×#95	C₂³	1	1	yes	characteristic
298	C₁₇×#95	C₂³	1	1	yes	characteristic
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	C₁₇×#95	C₂³	1	1	yes	characteristic
310	C₁₇×#95	C₂³	1	1	yes	characteristic
311	C₁₇×#95	C₂³	1	1	yes	characteristic
312	C₁₇×#95	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	#10587502	C₂³	1	1	yes	characteristic
356	#10587502	C₂³	1	1	yes	characteristic
357	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
358	C₂³×D₁₇	—	2	2	no	—
359	C₂³×D₁₇	—	2	2	no	—
360	C₂³×D₁₇	—	2	2	no	—
361	C₂³×D₁₇	—	2	2	no	—
362	C₂³×D₁₇	—	2	2	no	—
363	C₂³×D₁₇	—	4	1	no	—
364	C₂³×D₁₇	—	4	1	no	—
365	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
366	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₇	—	2	2	no	—
368	C₂²×C₄×C₁₇	—	2	2	no	—
369	C₂²×C₄×C₁₇	—	2	2	no	—
370	C₂²×C₄×C₁₇	—	4	1	no	—
371	C₂²×C₄×C₁₇	—	4	1	no	—
372	C₂²×C₄×C₁₇	—	4	1	no	—
373	C₂²×C₄×C₁₇	—	4	1	no	—
374	C₂²×C₄×C₁₇	—	4	1	no	—
375	C₂²×C₄×C₁₇	—	4	1	no	—
376	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₇	—	2	2	no	—
391	C₂²×Dic₁₇	—	2	2	no	—
392	C₂²×Dic₁₇	—	4	1	no	—
393	C₂²×Dic₁₇	—	4	1	no	—
394	C₂²×Dic₁₇	—	4	1	no	—
395	C₂²×Dic₁₇	—	4	1	no	—
396	C₂²×Dic₁₇	—	4	1	no	—
397	C₂²×Dic₁₇	—	4	1	no	—
398	C₂²×Dic₁₇	#41	1	4	yes	—
399	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×D₁₇	—	2	2	no	—
414	C₂×C₄×D₁₇	—	2	2	no	—
415	C₂×C₄×D₁₇	—	2	2	no	—
416	C₂×C₄×D₁₇	—	2	2	no	—
417	C₂×C₄×D₁₇	—	2	2	no	—
418	C₂×C₄×D₁₇	—	2	2	no	—
419	C₂×C₄×D₁₇	—	2	2	no	—
420	C₂×C₄×D₁₇	—	2	2	no	—
421	C₂×C₄×D₁₇	—	4	1	no	—
422	C₂×C₄×D₁₇	—	4	1	no	—
423	C₂×C₄×D₁₇	—	4	1	no	—
424	C₂×C₄×D₁₇	—	4	1	no	—
425	C₂×C₄×D₁₇	—	4	16	no	—
426	C₂×Dic₃₄	—	2	2	no	—
427	C₂×Dic₃₄	—	2	2	no	—
428	C₂×Dic₃₄	—	4	1	no	—
429	C₂×Dic₃₄	—	4	1	no	—
430	C₂×Dic₃₄	—	4	1	no	—
431	C₂×Dic₃₄	—	4	1	no	—
432	C₄⋊C₄×C₁₇	—	4	1	no	—
433	C₄⋊C₄×C₁₇	—	4	1	no	—
434	C₄⋊C₄×C₁₇	—	4	1	no	—
435	C₄⋊C₄×C₁₇	—	4	1	no	—
436	C₄⋊C₄×C₁₇	—	4	1	no	—
437	C₄⋊C₄×C₁₇	—	4	1	no	—
438	C₄⋊C₄×C₁₇	—	4	1	no	—
439	C₄⋊C₄×C₁₇	—	4	1	no	—
440	C₄⋊C₄×C₁₇	—	4	1	no	—
441	C₄⋊C₄×C₁₇	—	4	1	no	—
442	C₂²⋊C₄×C₁₇	—	2	2	no	—
443	C₂²⋊C₄×C₁₇	—	2	2	no	—
444	C₂²⋊C₄×C₁₇	—	2	2	no	—
445	C₂²⋊C₄×C₁₇	—	2	2	no	—
446	C₄²×C₁₇	—	4	1	no	—
447	C₄²×C₁₇	—	4	1	no	—
448	C₂²⋊Dic₁₇	—	2	2	no	—
449	C₂²⋊Dic₁₇	—	2	2	no	—
450	C₂²⋊Dic₁₇	—	2	2	no	—
451	C₂²⋊Dic₁₇	—	2	2	no	—
452	#63227	—	2	2	no	—
453	#63227	—	2	2	no	—
454	#63227	—	2	2	no	—
455	#63227	—	2	2	no	—
456	#63227	—	2	2	no	—
457	#63227	—	2	2	no	—
458	#63227	—	2	2	no	—
459	#63227	—	2	2	no	—
460	#63227	—	2	2	no	—
461	#63227	—	2	2	no	—
462	#63227	—	2	2	no	—
463	#63227	—	2	2	no	—
464	#63227	—	4	1	no	—
465	#63227	—	4	1	no	—
466	#63227	—	4	1	no	—
467	#63227	—	4	1	no	—
468	#63227	—	4	1	no	—
469	#63227	—	4	1	no	—
470	#63227	—	4	1	no	—
471	#63227	—	4	1	no	—
472	#63227	—	4	1	no	—
473	#63227	—	4	1	no	—
474	#63227	—	4	1	no	—
475	#63227	—	4	1	no	—
476	C₄⋊Dic₁₇	—	2	2	no	—
477	C₄⋊Dic₁₇	—	2	2	no	—
478	C₄⋊Dic₁₇	—	4	1	no	—
479	C₄⋊Dic₁₇	—	4	1	no	—
480	C₄⋊Dic₁₇	—	4	1	no	—
481	C₄⋊Dic₁₇	—	4	1	no	—
482	C₄⋊Dic₁₇	—	4	1	no	—
483	C₄⋊Dic₁₇	—	4	1	no	—
484	#63225	—	2	2	no	—
485	#63225	—	2	2	no	—
486	#63225	—	2	2	no	—
487	#63225	—	2	2	no	—
488	#63225	—	4	1	no	—
489	#63225	—	4	1	no	—
490	#63225	—	4	1	no	—
491	#63225	—	4	1	no	—
492	#63225	—	4	1	no	—
493	#63225	—	4	1	no	—
494	#63225	—	4	1	no	—
495	#63225	—	4	1	no	—
496	#63225	—	4	1	no	—
497	#63225	—	4	1	no	—
498	#63225	—	4	1	no	—
499	#63225	—	4	1	no	—
500	#63225	—	4	1	no	—
501	#63225	—	4	1	no	—
502	#63225	—	4	1	no	—
503	#63225	—	4	1	no	—
504	#63225	—	4	1	no	—
505	#63225	—	4	1	no	—
506	#63225	—	4	1	no	—
507	#63225	—	4	1	no	—
508	C₄×Dic₁₇	—	4	1	no	—
509	C₄×Dic₁₇	—	4	1	no	—
510	C₄×Dic₁₇	—	4	1	no	—
511	C₄×Dic₁₇	—	4	1	no	—
512	C₄×Dic₁₇	—	4	1	no	—
513	C₄×Dic₁₇	—	4	1	no	—
514	#36732	—	17	1	no	maximal, Sylow
515	C₂³×C₁₇	—	2	1	no	—
516	C₂³×C₁₇	—	2	1	no	—
517	C₂³×C₁₇	—	2	1	no	—
518	C₂³×C₁₇	—	2	1	no	—
519	C₂³×C₁₇	C₂×#41	1	2	yes	—
520	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
521	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
522	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
523	C₂²×D₁₇	—	2	8	no	—
524	C₂²×D₁₇	—	2	1	no	—
525	C₂²×D₁₇	—	2	1	no	—
526	C₂²×D₁₇	—	2	1	no	—
527	C₂²×D₁₇	—	2	1	no	—
528	C₂²×D₁₇	—	2	1	no	—
529	C₂²×D₁₇	—	2	1	no	—
530	C₂²×D₁₇	—	2	1	no	—
531	C₂²×D₁₇	—	2	1	no	—
532	C₂²×D₁₇	—	2	1	no	—
533	C₂²×D₁₇	—	2	1	no	—
534	C₂²×D₁₇	—	2	1	no	—
535	C₂²×D₁₇	—	2	1	no	—
536	C₂²×D₁₇	—	4	4	no	—
537	C₂²×D₁₇	—	4	4	no	—
538	C₂²×D₁₇	—	4	4	no	—
539	C₂²×D₁₇	—	4	4	no	—
540	C₂²×D₁₇	—	4	4	no	—
541	C₂²×D₁₇	—	4	4	no	—
542	C₂²×D₁₇	H(5,𝔽₂)	1	2	yes	—
543	C₂²×D₁₇	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₁₇	—	2	1	no	—
545	C₂×C₄×C₁₇	—	2	1	no	—
546	C₂×C₄×C₁₇	—	2	1	no	—
547	C₂×C₄×C₁₇	—	2	1	no	—
548	C₂×C₄×C₁₇	—	2	1	no	—
549	C₂×C₄×C₁₇	—	2	1	no	—
550	C₂×C₄×C₁₇	—	2	1	no	—
551	C₂×C₄×C₁₇	—	2	1	no	—
552	C₂×C₄×C₁₇	—	2	1	no	—
553	C₂×C₄×C₁₇	—	2	1	no	—
554	C₂×C₄×C₁₇	—	2	1	no	—
555	C₂×C₄×C₁₇	—	2	1	no	—
556	C₂×C₄×C₁₇	—	2	1	no	—
557	C₂×C₄×C₁₇	—	2	1	no	—
558	C₂×C₄×C₁₇	—	2	1	no	—
559	C₂×C₄×C₁₇	—	2	1	no	—
560	C₂×C₄×C₁₇	—	2	1	no	—
561	C₂×C₄×C₁₇	—	2	1	no	—
562	C₂×C₄×C₁₇	—	2	1	no	—
563	C₂×C₄×C₁₇	—	2	1	no	—
564	C₂×C₄×C₁₇	—	2	1	no	—
565	C₂×C₄×C₁₇	—	2	1	no	—
566	C₂×C₄×C₁₇	—	2	1	no	—
567	C₂×C₄×C₁₇	—	2	1	no	—
568	C₂×C₄×C₁₇	—	2	1	no	—
569	C₂×C₄×C₁₇	—	2	1	no	—
570	C₂×C₄×C₁₇	—	2	1	no	—
571	C₂×C₄×C₁₇	—	2	1	no	—
572	C₂×C₄×C₁₇	—	2	1	no	—
573	C₂×C₄×C₁₇	—	2	1	no	—
574	C₂×C₄×C₁₇	—	2	1	no	—
575	C₂×C₄×C₁₇	—	2	1	no	—
576	C₂×C₄×C₁₇	—	2	1	no	—
577	C₂×C₄×C₁₇	—	2	1	no	—
578	C₂×C₄×C₁₇	—	2	1	no	—
579	C₂×C₄×C₁₇	—	2	1	no	—
580	C₂×C₄×C₁₇	—	2	1	no	—
581	C₂×C₄×C₁₇	—	2	1	no	—
582	C₂×C₄×C₁₇	—	2	1	no	—
583	C₂×C₄×C₁₇	—	2	1	no	—
584	C₂×C₄×C₁₇	—	2	1	no	—
585	C₂×C₄×C₁₇	—	2	1	no	—
586	C₂×C₄×C₁₇	—	4	4	no	—
587	C₂×C₄×C₁₇	—	8	2	no	—
588	C₂×C₄×C₁₇	—	8	2	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	—	2	1	no	—
594	C₂×Dic₁₇	—	2	1	no	—
595	C₂×Dic₁₇	—	2	1	no	—
596	C₂×Dic₁₇	—	2	1	no	—
597	C₂×Dic₁₇	—	2	1	no	—
598	C₂×Dic₁₇	—	2	1	no	—
599	C₂×Dic₁₇	—	2	1	no	—
600	C₂×Dic₁₇	—	2	1	no	—
601	C₂×Dic₁₇	—	2	1	no	—
602	C₂×Dic₁₇	—	2	1	no	—
603	C₂×Dic₁₇	—	2	1	no	—
604	C₂×Dic₁₇	—	2	1	no	—
605	C₂×Dic₁₇	—	2	1	no	—
606	C₂×Dic₁₇	—	2	1	no	—
607	C₂×Dic₁₇	—	2	1	no	—
608	C₂×Dic₁₇	—	2	1	no	—
609	C₂×Dic₁₇	—	2	1	no	—
610	C₂×Dic₁₇	—	2	1	no	—
611	C₂×Dic₁₇	—	2	1	no	—
612	C₂×Dic₁₇	—	2	1	no	—
613	C₂×Dic₁₇	—	2	1	no	—
614	C₂×Dic₁₇	—	2	1	no	—
615	C₂×Dic₁₇	—	2	1	no	—
616	C₂×Dic₁₇	—	2	1	no	—
617	C₂×Dic₁₇	—	2	1	no	—
618	C₂×Dic₁₇	—	2	1	no	—
619	C₂×Dic₁₇	—	2	1	no	—
620	C₂×Dic₁₇	—	2	1	no	—
621	C₂×Dic₁₇	—	2	1	no	—
622	C₂×Dic₁₇	—	2	1	no	—
623	C₂×Dic₁₇	—	2	1	no	—
624	C₂×Dic₁₇	—	2	1	no	—
625	C₂×Dic₁₇	—	2	1	no	—
626	C₂×Dic₁₇	—	2	1	no	—
627	C₂×Dic₁₇	—	2	1	no	—
628	C₂×Dic₁₇	—	2	1	no	—
629	C₂×Dic₁₇	—	4	4	no	—
630	C₂×Dic₁₇	—	8	2	no	—
631	C₂×Dic₁₇	—	8	2	no	—
632	C₂×Dic₁₇	C₂×#41	1	2	yes	—
633	C₂×Dic₁₇	C₂×#41	1	2	yes	—
634	C₄×D₁₇	—	4	4	no	—
635	C₄×D₁₇	—	4	4	no	—
636	C₄×D₁₇	—	4	4	no	—
637	C₄×D₁₇	—	4	4	no	—
638	Dic₃₄	—	8	2	no	—
639	Dic₃₄	—	8	2	no	—
640	#2848	—	17	1	no	—
641	#2848	—	17	1	no	—
642	#2744	—	17	1	no	—
643	#2744	—	17	1	no	—
644	#2744	—	17	1	no	—
645	#2744	—	17	1	no	—
646	#2739	—	17	1	no	—
647	#2739	—	17	1	no	—
648	#2739	—	17	1	no	—
649	#2739	—	17	1	no	—
650	#2698	—	17	1	no	—
651	#2698	—	17	1	no	—
652	#2698	—	17	1	no	—
653	#2698	—	17	1	no	—
654	#2689	—	17	1	no	—
655	#2689	—	17	1	no	—
656	#2689	—	17	1	no	—
657	#2689	—	17	1	no	—
658	#2659	—	17	1	no	—
659	#2646	—	17	1	no	—
660	#2505	—	17	1	no	—
661	#2505	—	17	1	no	—
662	#2505	—	17	1	no	—
663	#2505	D₁₇	1	1	yes	characteristic, complemented
664	#2480	—	17	1	no	—
665	#2480	—	17	1	no	—
666	#2480	—	17	1	no	—
667	#2480	—	17	1	no	—
668	#2329	—	17	1	no	—
669	#2329	—	17	1	no	—
670	C₂×#381	—	17	1	no	—
671	C₂²×C₁₇	—	2	2	no	—
672	C₂²×C₁₇	—	2	2	no	—
673	C₂²×C₁₇	—	2	2	no	—
674	C₂²×C₁₇	—	2	2	no	—
675	C₂²×C₁₇	—	2	2	no	—
676	C₂²×C₁₇	—	2	2	no	—
677	C₂²×C₁₇	#541	1	4	yes	—
678	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
679	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
680	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
682	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂²×C₁₇	#585	1	1	yes	characteristic
684	C₂²×C₁₇	#585	1	1	yes	characteristic
685	C₂×D₁₇	—	2	2	no	—
686	C₂×D₁₇	—	2	2	no	—
687	C₂×D₁₇	—	2	2	no	—
688	C₂×D₁₇	—	2	2	no	—
689	C₂×D₁₇	—	2	2	no	—
690	C₂×D₁₇	—	2	2	no	—
691	C₂×D₁₇	—	4	16	no	—
692	C₂×D₁₇	—	4	1	no	—
693	C₂×D₁₇	—	4	1	no	—
694	C₂×D₁₇	—	4	1	no	—
695	C₂×D₁₇	—	4	1	no	—
696	C₂×D₁₇	—	4	1	no	—
697	C₂×D₁₇	—	4	1	no	—
698	C₂×D₁₇	—	4	1	no	—
699	C₂×D₁₇	—	4	1	no	—
700	C₄×C₁₇	—	4	1	no	—
701	C₄×C₁₇	—	4	1	no	—
702	C₄×C₁₇	—	4	1	no	—
703	C₄×C₁₇	—	4	1	no	—
704	C₄×C₁₇	—	4	1	no	—
705	C₄×C₁₇	—	4	1	no	—
706	C₄×C₁₇	—	4	1	no	—
707	C₄×C₁₇	—	4	1	no	—
708	C₄×C₁₇	—	4	1	no	—
709	C₄×C₁₇	—	4	1	no	—
710	C₄×C₁₇	—	4	1	no	—
711	C₄×C₁₇	—	4	1	no	—
712	C₄×C₁₇	—	4	1	no	—
713	C₄×C₁₇	—	4	1	no	—
714	Dic₁₇	—	2	2	no	—
715	Dic₁₇	—	2	2	no	—
716	Dic₁₇	—	4	1	no	—
717	Dic₁₇	—	4	1	no	—
718	Dic₁₇	—	4	1	no	—
719	Dic₁₇	—	4	1	no	—
720	Dic₁₇	—	4	1	no	—
721	Dic₁₇	—	4	1	no	—
722	Dic₁₇	—	4	1	no	—
723	Dic₁₇	—	4	1	no	—
724	Dic₁₇	—	4	1	no	—
725	Dic₁₇	—	4	1	no	—
726	Dic₁₇	—	4	1	no	—
727	Dic₁₇	—	4	1	no	—
728	C₂⁴×C₄	—	17	1	no	—
729	C₂×#126	—	17	1	no	—
730	C₂×#126	—	17	1	no	—
731	C₂×#126	—	17	1	no	—
732	C₂×#126	—	17	1	no	—
733	C₂×C₂²⋊Q₈	—	17	1	no	—
734	C₂×C₂²⋊Q₈	—	17	1	no	—
735	C₂×C₂²⋊Q₈	—	17	1	no	—
736	C₂×C₂²⋊Q₈	—	17	1	no	—
737	C₂×C₂²⋊Q₈	—	17	1	no	—
738	C₂×C₂²⋊Q₈	—	17	1	no	—
739	C₂²×C₂²⋊C₄	—	17	1	no	—
740	C₂²×C₂²⋊C₄	—	17	1	no	—
741	#400	—	17	1	no	—
742	#400	—	17	1	no	—
743	#400	—	17	1	no	—
744	#400	—	17	1	no	—
745	#400	—	17	1	no	—
746	#400	—	17	1	no	—
747	#400	—	17	1	no	—
748	#400	—	17	1	no	—
749	#400	—	17	1	no	—
750	#400	—	17	1	no	—
751	#400	—	17	1	no	—
752	#400	—	17	1	no	—
753	#400	—	17	1	no	—
754	#400	C₂×D₁₇	1	1	yes	characteristic, complemented
755	#400	C₂×D₁₇	1	1	yes	characteristic, complemented
756	#400	C₂×D₁₇	1	1	yes	characteristic, complemented
757	#398	—	17	1	no	—
758	#398	—	17	1	no	—
759	#398	—	17	1	no	—
760	#398	—	17	1	no	—
761	#398	—	17	1	no	—
762	#398	—	17	1	no	—
763	#398	—	17	1	no	—
764	#398	—	17	1	no	—
765	#398	—	17	1	no	—
766	#398	—	17	1	no	—
767	#398	—	17	1	no	—
768	#398	C₂×D₁₇	1	1	yes	characteristic, complemented
769	#397	—	17	1	no	—
770	#397	—	17	1	no	—
771	#397	—	17	1	no	—
772	#397	—	17	1	no	—
773	#397	—	17	1	no	—
774	#397	—	17	1	no	—
775	#397	—	17	1	no	—
776	#397	—	17	1	no	—
777	#397	—	17	1	no	—
778	#397	—	17	1	no	—
779	#397	—	17	1	no	—
780	#397	—	17	1	no	—
781	#396	—	17	1	no	—
782	#396	—	17	1	no	—
783	#396	—	17	1	no	—
784	#396	—	17	1	no	—
785	#395	—	17	1	no	—
786	#395	—	17	1	no	—
787	#395	—	17	1	no	—
788	#395	—	17	1	no	—
789	#391	—	17	1	no	—
790	#391	—	17	1	no	—
791	#391	—	17	1	no	—
792	#391	—	17	1	no	—
793	#389	—	17	1	no	—
794	#389	—	17	1	no	—
795	#389	—	17	1	no	—
796	#389	—	17	1	no	—
797	#389	—	17	1	no	—
798	#389	—	17	1	no	—
799	#389	—	17	1	no	—
800	#389	C₂×D₁₇	1	1	yes	characteristic, complemented
801	#388	—	17	1	no	—
802	#388	—	17	1	no	—
803	#388	—	17	1	no	—
804	#388	—	17	1	no	—
805	#388	—	17	1	no	—
806	#388	—	17	1	no	—
807	#388	—	17	1	no	—
808	#388	—	17	1	no	—
809	#388	—	17	1	no	—
810	#388	—	17	1	no	—
811	#388	—	17	1	no	—
812	#388	—	17	1	no	—
813	#387	—	17	1	no	—
814	#387	—	17	1	no	—
815	#387	—	17	1	no	—
816	#387	—	17	1	no	—
817	#387	—	17	1	no	—
818	#387	—	17	1	no	—
819	#387	—	17	1	no	—
820	#387	—	17	1	no	—
821	#387	—	17	1	no	—
822	#387	—	17	1	no	—
823	#387	—	17	1	no	—
824	#387	—	17	1	no	—
825	#387	—	17	1	no	—
826	#387	—	17	1	no	—
827	#387	C₂×D₁₇	1	1	yes	characteristic, complemented
828	#387	C₂×D₁₇	1	1	yes	characteristic, complemented
829	#385	—	17	1	no	—
830	#385	—	17	1	no	—
831	#385	—	17	1	no	—
832	#385	—	17	1	no	—
833	#385	—	17	1	no	—
834	#385	—	17	1	no	—
835	#385	—	17	1	no	—
836	#385	—	17	1	no	—
837	#385	—	17	1	no	—
838	#385	—	17	1	no	—
839	#385	—	17	1	no	—
840	#385	—	17	1	no	—
841	#385	—	17	1	no	—
842	#385	—	17	1	no	—
843	#385	—	17	1	no	—
844	#385	—	17	1	no	—
845	#385	C₂×D₁₇	1	1	yes	characteristic
846	#385	C₂×D₁₇	1	1	yes	characteristic
847	#385	C₂×D₁₇	1	1	yes	characteristic
848	#385	C₂×D₁₇	1	1	yes	characteristic
849	#382	—	17	1	no	—
850	#382	—	17	1	no	—
851	#382	—	17	1	no	—
852	#382	C₂×D₁₇	1	1	yes	characteristic, complemented
853	#381	—	17	1	no	—
854	#381	—	17	1	no	—
855	#381	—	17	1	no	—
856	#381	—	17	1	no	—
857	#381	—	17	1	no	—
858	#381	—	17	1	no	—
859	#381	—	17	1	no	—
860	#381	—	17	1	no	—
861	#380	—	17	1	no	—
862	#380	—	17	1	no	—
863	#380	—	17	1	no	—
864	#380	—	17	1	no	—
865	#380	—	17	1	no	—
866	#380	—	17	1	no	—
867	#380	—	17	1	no	—
868	#380	—	17	1	no	—
869	#380	—	17	1	no	—
870	#380	C₂×D₁₇	1	1	yes	characteristic
871	#379	—	17	1	no	—
872	#379	—	17	1	no	—
873	#379	—	17	1	no	—
874	#379	—	17	1	no	—
875	C₄×C₂²⋊C₄	—	17	1	no	—
876	C₄×C₂²⋊C₄	—	17	1	no	—
877	C₄×C₂²⋊C₄	—	17	1	no	—
878	C₄×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
879	C₂×#95	—	17	1	no	—
880	C₂×#95	—	17	1	no	—
881	C₂×#95	—	17	1	no	—
882	C₂×#95	C₂×D₁₇	1	1	yes	characteristic
883	C₂×C₁₇	—	2	4	no	—
884	C₂×C₁₇	C₂×#541	1	1	yes	characteristic
885	C₂×C₁₇	#3490	1	1	yes	characteristic
886	C₂×C₁₇	#3493	1	1	yes	characteristic
887	C₂×C₁₇	#3535	1	1	yes	characteristic
888	C₂×C₁₇	#3535	1	1	yes	characteristic
889	C₂×C₁₇	#3535	1	1	yes	characteristic
890	C₂×C₁₇	#3535	1	1	yes	characteristic
891	D₁₇	—	4	2	no	—
892	D₁₇	—	4	2	no	—
893	C₂⁵	—	17	1	no	—
894	C₂²×Q₈	—	17	1	no	—
895	C₂²×Q₈	—	17	1	no	—
896	C₂³×C₄	—	17	1	no	—
897	C₂³×C₄	—	17	1	no	—
898	C₂³×C₄	—	17	1	no	—
899	C₂³×C₄	—	17	1	no	—
900	C₂³×C₄	—	17	1	no	—
901	C₂³×C₄	—	17	1	no	—
902	C₂³×C₄	—	17	1	no	—
903	C₂³×C₄	—	34	4	no	—
904	C₂³×C₄	—	68	2	no	—
905	C₂³×C₄	—	68	2	no	—
906	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
907	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
908	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
909	#126	—	68	2	no	—
910	#126	—	68	2	no	—
911	#126	—	68	2	no	—
912	#126	—	68	2	no	—
913	C₂²⋊Q₈	—	34	4	no	—
914	C₂²⋊Q₈	—	34	4	no	—
915	C₂²⋊Q₈	—	68	2	no	—
916	C₂²⋊Q₈	—	68	2	no	—
917	C₂²⋊Q₈	—	68	2	no	—
918	C₂²⋊Q₈	—	68	2	no	—
919	C₂×C₄⋊C₄	—	17	1	no	—
920	C₂×C₄⋊C₄	—	17	1	no	—
921	C₂×C₄⋊C₄	—	17	1	no	—
922	C₂×C₄⋊C₄	—	17	1	no	—
923	C₂×C₄⋊C₄	—	17	1	no	—
924	C₂×C₄⋊C₄	—	17	1	no	—
925	C₂×C₄⋊C₄	—	17	1	no	—
926	C₂×C₄⋊C₄	—	17	1	no	—
927	C₂×C₄⋊C₄	—	17	1	no	—
928	C₂×C₄⋊C₄	—	17	1	no	—
929	C₂×C₄⋊C₄	—	17	1	no	—
930	C₂×C₄⋊C₄	—	17	1	no	—
931	C₂×C₄⋊C₄	—	17	1	no	—
932	C₂×C₄⋊C₄	—	17	1	no	—
933	C₂×C₄⋊C₄	—	17	1	no	—
934	C₂×C₄⋊C₄	—	17	1	no	—
935	C₂×C₄⋊C₄	—	17	1	no	—
936	C₂×C₄⋊C₄	—	17	1	no	—
937	C₂×C₄⋊C₄	—	17	1	no	—
938	C₂×C₄⋊C₄	—	17	1	no	—
939	C₂×C₄⋊C₄	—	17	1	no	—
940	C₂×C₄⋊C₄	—	17	1	no	—
941	C₂×C₄⋊C₄	—	17	1	no	—
942	C₂×C₄⋊C₄	—	17	1	no	—
943	C₂×C₄⋊C₄	—	17	1	no	—
944	C₂×C₄⋊C₄	—	17	1	no	—
945	C₂×C₄⋊C₄	—	17	1	no	—
946	C₂×C₄⋊C₄	—	17	1	no	—
947	C₂×C₄⋊C₄	—	17	1	no	—
948	C₂×C₄⋊C₄	—	17	1	no	—
949	C₂×C₄⋊C₄	—	17	1	no	—
950	C₂×C₄⋊C₄	—	17	1	no	—
951	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	—	17	1	no	—
962	C₂×C₂²⋊C₄	—	17	1	no	—
963	C₂×C₂²⋊C₄	—	17	1	no	—
964	C₂×C₂²⋊C₄	—	17	1	no	—
965	C₂×C₂²⋊C₄	—	17	1	no	—
966	C₂×C₂²⋊C₄	—	17	1	no	—
967	C₂×C₂²⋊C₄	—	17	1	no	—
968	C₂×C₂²⋊C₄	—	17	1	no	—
969	C₂×C₂²⋊C₄	—	17	1	no	—
970	C₂×C₂²⋊C₄	—	17	1	no	—
971	C₂×C₂²⋊C₄	—	17	1	no	—
972	C₂×C₂²⋊C₄	—	17	1	no	—
973	C₂×C₂²⋊C₄	—	17	1	no	—
974	C₂×C₂²⋊C₄	—	17	1	no	—
975	C₂×C₂²⋊C₄	—	17	1	no	—
976	C₂×C₂²⋊C₄	—	17	1	no	—
977	C₂×C₂²⋊C₄	—	17	1	no	—
978	C₂×C₂²⋊C₄	—	17	1	no	—
979	C₂×C₂²⋊C₄	—	17	1	no	—
980	C₂×C₂²⋊C₄	—	17	1	no	—
981	C₂×C₂²⋊C₄	—	17	1	no	—
982	C₂×C₂²⋊C₄	—	17	1	no	—
983	C₂×C₂²⋊C₄	—	17	1	no	—
984	C₂×C₂²⋊C₄	—	17	1	no	—
985	C₂×C₂²⋊C₄	—	17	1	no	—
986	C₂×C₂²⋊C₄	—	17	1	no	—
987	C₂×C₂²⋊C₄	—	17	1	no	—
988	C₂×C₂²⋊C₄	—	17	1	no	—
989	C₂×C₂²⋊C₄	—	68	2	no	—
990	C₂×C₂²⋊C₄	—	68	2	no	—
991	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
995	C₂×C₄²	—	17	1	no	—
996	C₂×C₄²	—	17	1	no	—
997	C₂×C₄²	—	17	1	no	—
998	C₂×C₄²	—	17	1	no	—
999	C₂×C₄²	—	17	1	no	—
1000	C₂×C₄²	—	17	1	no	—
1001	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1002	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1003	#95	—	17	1	no	—
1004	#95	—	17	1	no	—
1005	#95	—	17	1	no	—
1006	#95	—	17	1	no	—
1007	#95	—	17	1	no	—
1008	#95	—	17	1	no	—
1009	#95	—	17	1	no	—
1010	#95	—	17	1	no	—
1011	#95	—	17	1	no	—
1012	#95	—	17	1	no	—
1013	#95	—	17	1	no	—
1014	#95	—	17	1	no	—
1015	#95	—	17	1	no	—
1016	#95	—	17	1	no	—
1017	#95	—	17	1	no	—
1018	#95	—	17	1	no	—
1019	#95	—	17	1	no	—
1020	#95	—	17	1	no	—
1021	#95	—	17	1	no	—
1022	#95	—	17	1	no	—
1023	#95	—	17	1	no	—
1024	#95	—	17	1	no	—
1025	#95	—	17	1	no	—
1026	#95	—	17	1	no	—
1027	#95	—	17	1	no	—
1028	#95	—	17	1	no	—
1029	#95	—	17	1	no	—
1030	#95	—	17	1	no	—
1031	#95	—	17	1	no	—
1032	#95	—	17	1	no	—
1033	#95	—	17	1	no	—
1034	#95	—	17	1	no	—
1035	#95	—	17	1	no	—
1036	#95	—	17	1	no	—
1037	#95	—	17	1	no	—
1038	#95	—	17	1	no	—
1039	#95	—	17	1	no	—
1040	#95	—	17	1	no	—
1041	#95	—	17	1	no	—
1042	#95	—	17	1	no	—
1043	#95	—	17	1	no	—
1044	#95	—	17	1	no	—
1045	#95	—	17	1	no	—
1046	#95	—	17	1	no	—
1047	#95	C₂²×D₁₇	1	1	yes	characteristic
1048	#95	C₂²×D₁₇	1	1	yes	characteristic
1049	#95	C₂²×D₁₇	1	1	yes	characteristic
1050	#95	C₂²×D₁₇	1	1	yes	characteristic
1051	#95	C₂²×D₁₇	1	1	yes	characteristic
1052	#95	C₂²×D₁₇	1	1	yes	characteristic
1053	#95	C₂²×D₁₇	1	1	yes	characteristic
1054	#95	C₂²×D₁₇	1	1	yes	characteristic
1055	#95	C₂²×D₁₇	1	1	yes	characteristic
1056	#95	C₂²×D₁₇	1	1	yes	characteristic
1057	#95	C₂²×D₁₇	1	1	yes	characteristic
1058	#95	C₂²×D₁₇	1	1	yes	characteristic
1059	#95	C₂²×D₁₇	1	1	yes	characteristic
1060	#95	C₂²×D₁₇	1	1	yes	characteristic
1061	#95	C₂²×D₁₇	1	1	yes	characteristic
1062	#95	C₂²×D₁₇	1	1	yes	characteristic
1063	C₁₇	#36732	1	1	yes	characteristic, complemented, Sylow
1064	C₂⁴	—	17	1	no	—
1065	C₂⁴	—	17	1	no	—
1066	C₂⁴	—	34	2	no	—
1067	C₂⁴	—	34	2	no	—
1068	C₂⁴	—	34	2	no	—
1069	C₂⁴	—	34	2	no	—
1070	C₂⁴	—	34	2	no	—
1071	C₂⁴	—	68	1	no	—
1072	C₂⁴	—	68	1	no	—
1073	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1074	C₂×Q₈	—	34	2	no	—
1075	C₂×Q₈	—	34	2	no	—
1076	C₂×Q₈	—	68	1	no	—
1077	C₂×Q₈	—	68	1	no	—
1078	C₂×Q₈	—	68	1	no	—
1079	C₂×Q₈	—	68	1	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	17	1	no	—
1090	C₂²×C₄	—	17	1	no	—
1091	C₂²×C₄	—	17	4	no	—
1092	C₂²×C₄	—	17	1	no	—
1093	C₂²×C₄	—	17	1	no	—
1094	C₂²×C₄	—	17	1	no	—
1095	C₂²×C₄	—	17	1	no	—
1096	C₂²×C₄	—	17	1	no	—
1097	C₂²×C₄	—	17	1	no	—
1098	C₂²×C₄	—	17	1	no	—
1099	C₂²×C₄	—	17	1	no	—
1100	C₂²×C₄	—	17	1	no	—
1101	C₂²×C₄	—	17	1	no	—
1102	C₂²×C₄	—	17	1	no	—
1103	C₂²×C₄	—	17	1	no	—
1104	C₂²×C₄	—	34	2	no	—
1105	C₂²×C₄	—	34	2	no	—
1106	C₂²×C₄	—	34	2	no	—
1107	C₂²×C₄	—	34	2	no	—
1108	C₂²×C₄	—	34	2	no	—
1109	C₂²×C₄	—	34	2	no	—
1110	C₂²×C₄	—	34	2	no	—
1111	C₂²×C₄	—	34	2	no	—
1112	C₂²×C₄	—	34	2	no	—
1113	C₂²×C₄	—	34	2	no	—
1114	C₂²×C₄	—	68	1	no	—
1115	C₂²×C₄	—	68	1	no	—
1116	C₂²×C₄	—	68	1	no	—
1117	C₂²×C₄	—	68	1	no	—
1118	C₂²×C₄	—	68	16	no	—
1119	C₂²×C₄	—	68	1	no	—
1120	C₂²×C₄	—	68	1	no	—
1121	C₂²×C₄	—	68	1	no	—
1122	C₂²×C₄	—	68	1	no	—
1123	C₂²×C₄	—	68	1	no	—
1124	C₂²×C₄	—	68	1	no	—
1125	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	4	1	no	—
1143	C₄⋊C₄	—	4	1	no	—
1144	C₄⋊C₄	—	4	1	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	34	2	no	—
1150	C₄⋊C₄	—	34	2	no	—
1151	C₄⋊C₄	—	34	2	no	—
1152	C₄⋊C₄	—	34	2	no	—
1153	C₄⋊C₄	—	34	2	no	—
1154	C₄⋊C₄	—	34	2	no	—
1155	C₄⋊C₄	—	68	1	no	—
1156	C₄⋊C₄	—	68	1	no	—
1157	C₄⋊C₄	—	68	1	no	—
1158	C₄⋊C₄	—	68	1	no	—
1159	C₄⋊C₄	—	68	1	no	—
1160	C₄⋊C₄	—	68	1	no	—
1161	C₄⋊C₄	—	68	1	no	—
1162	C₄⋊C₄	—	68	1	no	—
1163	C₄⋊C₄	—	68	1	no	—
1164	C₄⋊C₄	—	68	1	no	—
1165	C₄⋊C₄	—	68	1	no	—
1166	C₄⋊C₄	—	68	1	no	—
1167	C₄⋊C₄	—	68	1	no	—
1168	C₄⋊C₄	—	68	1	no	—
1169	C₄⋊C₄	—	68	1	no	—
1170	C₄⋊C₄	—	68	1	no	—
1171	C₄⋊C₄	—	68	1	no	—
1172	C₄⋊C₄	—	68	1	no	—
1173	C₄⋊C₄	—	68	1	no	—
1174	C₄⋊C₄	—	68	1	no	—
1175	C₄⋊C₄	—	68	1	no	—
1176	C₄⋊C₄	—	68	1	no	—
1177	C₄⋊C₄	—	68	1	no	—
1178	C₄⋊C₄	—	68	1	no	—
1179	C₄⋊C₄	—	68	1	no	—
1180	C₄⋊C₄	—	68	1	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	34	2	no	—
1186	C₂²⋊C₄	—	34	2	no	—
1187	C₂²⋊C₄	—	34	2	no	—
1188	C₂²⋊C₄	—	34	2	no	—
1189	C₂²⋊C₄	—	34	2	no	—
1190	C₂²⋊C₄	—	34	2	no	—
1191	C₂²⋊C₄	—	34	2	no	—
1192	C₂²⋊C₄	—	34	2	no	—
1193	C₂²⋊C₄	—	34	2	no	—
1194	C₂²⋊C₄	—	34	2	no	—
1195	C₂²⋊C₄	—	34	2	no	—
1196	C₂²⋊C₄	—	34	2	no	—
1197	C₂²⋊C₄	—	34	2	no	—
1198	C₂²⋊C₄	—	34	2	no	—
1199	C₂²⋊C₄	—	34	2	no	—
1200	C₂²⋊C₄	—	34	2	no	—
1201	C₂²⋊C₄	—	68	1	no	—
1202	C₂²⋊C₄	—	68	1	no	—
1203	C₂²⋊C₄	—	68	1	no	—
1204	C₂²⋊C₄	—	68	1	no	—
1205	C₂²⋊C₄	—	68	1	no	—
1206	C₂²⋊C₄	—	68	1	no	—
1207	C₂²⋊C₄	—	68	1	no	—
1208	C₂²⋊C₄	—	68	1	no	—
1209	C₂²⋊C₄	—	68	1	no	—
1210	C₂²⋊C₄	—	68	1	no	—
1211	C₂²⋊C₄	—	68	1	no	—
1212	C₂²⋊C₄	—	68	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	68	1	no	—
1216	C₄²	—	68	1	no	—
1217	C₄²	—	68	1	no	—
1218	C₄²	—	68	1	no	—
1219	C₄²	—	68	1	no	—
1220	C₄²	—	68	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	17	2	no	—
1226	C₂³	—	17	2	no	—
1227	C₂³	—	34	8	no	—
1228	C₂³	—	34	1	no	—
1229	C₂³	—	34	1	no	—
1230	C₂³	—	34	1	no	—
1231	C₂³	—	34	1	no	—
1232	C₂³	—	34	1	no	—
1233	C₂³	—	34	1	no	—
1234	C₂³	—	34	1	no	—
1235	C₂³	—	34	1	no	—
1236	C₂³	—	34	1	no	—
1237	C₂³	—	34	1	no	—
1238	C₂³	—	34	1	no	—
1239	C₂³	—	34	1	no	—
1240	C₂³	—	68	4	no	—
1241	C₂³	—	68	4	no	—
1242	C₂³	—	68	4	no	—
1243	C₂³	—	68	4	no	—
1244	C₂³	—	68	4	no	—
1245	C₂³	—	68	4	no	—
1246	C₂³	#10587694	1	2	yes	—
1247	C₂³	#41×D₁₇	1	2	yes	—
1248	C₂³	#10587697	1	2	yes	—
1249	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1250	Q₈	—	136	2	no	—
1251	Q₈	—	136	2	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	4	4	no	—
1295	C₂×C₄	—	8	2	no	—
1296	C₂×C₄	—	8	2	no	—
1297	C₂×C₄	—	17	2	no	—
1298	C₂×C₄	—	17	2	no	—
1299	C₂×C₄	—	34	1	no	—
1300	C₂×C₄	—	34	1	no	—
1301	C₂×C₄	—	34	1	no	—
1302	C₂×C₄	—	34	1	no	—
1303	C₂×C₄	—	34	1	no	—
1304	C₂×C₄	—	34	1	no	—
1305	C₂×C₄	—	34	1	no	—
1306	C₂×C₄	—	34	1	no	—
1307	C₂×C₄	—	34	1	no	—
1308	C₂×C₄	—	34	1	no	—
1309	C₂×C₄	—	34	1	no	—
1310	C₂×C₄	—	34	1	no	—
1311	C₂×C₄	—	34	1	no	—
1312	C₂×C₄	—	34	1	no	—
1313	C₂×C₄	—	34	1	no	—
1314	C₂×C₄	—	34	1	no	—
1315	C₂×C₄	—	34	1	no	—
1316	C₂×C₄	—	34	1	no	—
1317	C₂×C₄	—	34	1	no	—
1318	C₂×C₄	—	34	1	no	—
1319	C₂×C₄	—	34	1	no	—
1320	C₂×C₄	—	34	1	no	—
1321	C₂×C₄	—	34	1	no	—
1322	C₂×C₄	—	34	1	no	—
1323	C₂×C₄	—	34	1	no	—
1324	C₂×C₄	—	34	1	no	—
1325	C₂×C₄	—	34	1	no	—
1326	C₂×C₄	—	34	1	no	—
1327	C₂×C₄	—	34	1	no	—
1328	C₂×C₄	—	34	1	no	—
1329	C₂×C₄	—	34	1	no	—
1330	C₂×C₄	—	34	1	no	—
1331	C₂×C₄	—	34	1	no	—
1332	C₂×C₄	—	34	1	no	—
1333	C₂×C₄	—	34	1	no	—
1334	C₂×C₄	—	34	1	no	—
1335	C₂×C₄	—	34	1	no	—
1336	C₂×C₄	—	34	1	no	—
1337	C₂×C₄	—	34	1	no	—
1338	C₂×C₄	—	34	1	no	—
1339	C₂×C₄	—	68	4	no	—
1340	C₂×C₄	—	68	4	no	—
1341	C₂×C₄	—	68	4	no	—
1342	C₂×C₄	—	68	4	no	—
1343	C₂×C₄	—	68	4	no	—
1344	C₂×C₄	—	136	2	no	—
1345	C₂×C₄	—	136	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	34	2	no	—
1353	C₂²	—	34	2	no	—
1354	C₂²	—	34	2	no	—
1355	C₂²	—	34	2	no	—
1356	C₂²	—	34	2	no	—
1357	C₂²	—	34	2	no	—
1358	C₂²	—	68	16	no	—
1359	C₂²	—	68	1	no	—
1360	C₂²	—	68	1	no	—
1361	C₂²	—	68	1	no	—
1362	C₂²	—	68	1	no	—
1363	C₂²	—	68	1	no	—
1364	C₂²	—	68	1	no	—
1365	C₂²	—	68	1	no	—
1366	C₂²	—	68	1	no	—
1367	C₂²	#11763418	1	4	yes	—
1368	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1369	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1370	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1371	C₂²	C₂×#10587697	1	1	yes	characteristic
1372	C₂²	C₂×#10587694	1	1	yes	characteristic
1373	C₂²	#11763645	1	1	yes	characteristic
1374	C₂²	#11763645	1	1	yes	characteristic
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	34	2	no	—
1390	C₄	—	34	2	no	—
1391	C₄	—	68	1	no	—
1392	C₄	—	68	1	no	—
1393	C₄	—	68	1	no	—
1394	C₄	—	68	1	no	—
1395	C₄	—	68	1	no	—
1396	C₄	—	68	1	no	—
1397	C₄	—	68	1	no	—
1398	C₄	—	68	1	no	—
1399	C₄	—	68	1	no	—
1400	C₄	—	68	1	no	—
1401	C₄	—	68	1	no	—
1402	C₄	—	68	1	no	—
1403	C₂	—	2	4	no	—
1404	C₂	—	68	2	no	—
1405	C₂	—	68	2	no	—
1406	C₂	C₂×#11763418	1	1	yes	characteristic
1407	C₂	#14542470	1	1	yes	characteristic
1408	C₂	#14542496	1	1	yes	characteristic
1409	C₂	#14542980	1	1	yes	characteristic
1410	C₂	#14542980	1	1	yes	characteristic
1411	C₂	#14542988	1	1	yes	characteristic
1412	C₂	#14542988	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2505	C₂
prime radical	C₂⁴×D₁₇	C₂³
hypercenter	#2505	D₁₇
hypocenter	C₁₇	#36732
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2505

Complements

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

N	H ≅ G/N	type
3. #14535943	C₂	semidirect
4. #14535939	C₂	semidirect
5. #14535935	C₂	semidirect
6. #14535931	C₂	semidirect
7. #14535874	C₂	semidirect
8. #14535870	C₂	semidirect
9. #14535866	C₂	semidirect
10. #14535862	C₂	semidirect
11. #14535363	C₂	semidirect
12. #14535359	C₂	semidirect
13. #14535355	C₂	semidirect
14. #14535351	C₂	semidirect
15. #14535240	C₂	semidirect
16. #14535236	C₂	semidirect
17. #14535232	C₂	semidirect
18. #14535228	C₂	semidirect
19. #14534901	C₂	semidirect
20. #14534756	C₂	semidirect
21. #14533291	C₂	semidirect
22. #14533285	C₂	semidirect
23. #14533283	C₂	semidirect
28. #14531515	C₂	semidirect
29. #14531512	C₂	semidirect
31. C₁₇×#2505	C₂	semidirect
45. #11762751	C₂²	semidirect
46. #11762751	C₂²	semidirect
47. #11762750	C₂²	semidirect
48. #11762750	C₂²	semidirect
49. #11762750	C₂²	semidirect
50. #11762750	C₂²	semidirect
51. #11762750	C₂²	semidirect
52. #11762750	C₂²	semidirect
53. #11762749	C₂²	semidirect
54. #11762749	C₂²	semidirect
55. #11762748	C₂²	semidirect
56. #11762747	C₂²	semidirect
57. #11762747	C₂²	semidirect
58. #11762743	C₂²	semidirect
59. #11762743	C₂²	semidirect
60. #11762743	C₂²	semidirect
61. #11762743	C₂²	semidirect
62. #11762742	C₂²	semidirect
63. #11762742	C₂²	semidirect
64. #11762742	C₂²	semidirect
65. #11762742	C₂²	semidirect
66. #11762740	C₂²	semidirect
67. #11762740	C₂²	semidirect
68. #11762739	C₂²	semidirect
85. #11762730	C₂²	semidirect
86. #11762730	C₂²	semidirect
87. #11762729	C₂²	semidirect
88. #11762729	C₂²	semidirect
89. #11762715	C₂²	semidirect
90. #11762714	C₂²	semidirect
91. #11762713	C₂²	semidirect
92. #11762713	C₂²	semidirect
93. #11762707	C₂²	semidirect
94. #11762706	C₂²	semidirect
95. #11762706	C₂²	semidirect
96. #11762705	C₂²	semidirect
97. #11762705	C₂²	semidirect
98. #11762704	C₂²	semidirect
99. #11762704	C₂²	semidirect
112. #11762696	C₂²	semidirect
113. #11762696	C₂²	semidirect
114. #11762694	C₂²	semidirect
115. #11762694	C₂²	semidirect
116. #11762693	C₂²	semidirect
117. #11762693	C₂²	semidirect
118. #11762692	C₂²	semidirect
119. #11762692	C₂²	semidirect
120. #11762691	C₂²	semidirect
121. #11762691	C₂²	semidirect
122. #11762691	C₂²	semidirect
123. #11762691	C₂²	semidirect
124. #11762690	C₂²	semidirect
125. #11762690	C₂²	semidirect
142. #11762674	C₂²	semidirect
143. #11762673	C₂²	semidirect
144. #11762673	C₂²	semidirect
172. C₁₇×#400	C₂²	semidirect
173. C₁₇×#400	C₂²	semidirect
174. C₁₇×#400	C₂²	semidirect
175. C₁₇×#398	C₂²	semidirect
176. C₁₇×#389	C₂²	semidirect
177. C₁₇×#387	C₂²	semidirect
178. C₁₇×#387	C₂²	semidirect
183. C₁₇×#382	C₂²	semidirect
663. #2505	D₁₇	semidirect
754. #400	C₂×D₁₇	semidirect
755. #400	C₂×D₁₇	semidirect
756. #400	C₂×D₁₇	semidirect
768. #398	C₂×D₁₇	semidirect
800. #389	C₂×D₁₇	semidirect
827. #387	C₂×D₁₇	semidirect
828. #387	C₂×D₁₇	semidirect
852. #382	C₂×D₁₇	semidirect
1063. C₁₇	#36732	semidirect

Maximal subgroups

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

subgroup	index
#14537070	2
#14535943	2
#14535939	2
#14535935	2
#14535931	2
#14535874	2
#14535870	2
#14535866	2
#14535862	2
#14535363	2
#14535359	2
#14535355	2
#14535351	2
#14535240	2
#14535236	2
#14535232	2
#14535228	2
#14534901	2
#14534756	2
#14533291	2
#14533285	2
#14533283	2
#14533037	2
#14533035	2
#14533032	2
#14533030	2
#14531515	2
#14531512	2
C₂×#11762671	2
C₁₇×#2505	2
#36732	17