Subgroups — #17242119

Order 4352.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537125	C₂	1	1	yes	maximal, characteristic, complemented
2	#14537089	C₂	1	1	yes	maximal, characteristic, complemented
3	#14536733	C₂	1	1	yes	maximal, characteristic, complemented
4	#14536728	C₂	1	1	yes	maximal, characteristic
5	#14536552	C₂	1	1	yes	maximal, characteristic, complemented
6	#14536532	C₂	1	1	yes	maximal, characteristic, complemented
7	#14536529	C₂	1	1	yes	maximal, characteristic, complemented
8	#14536480	C₂	1	1	yes	maximal, characteristic
9	#14536438	C₂	1	1	yes	maximal, characteristic
10	#14536346	C₂	1	1	yes	maximal, characteristic, complemented
11	#14536199	C₂	1	1	yes	maximal, characteristic, complemented
12	#14536195	C₂	1	1	yes	maximal, characteristic, complemented
13	#14536092	C₂	1	1	yes	maximal, characteristic, complemented
14	#14535915	C₂	1	1	yes	maximal, characteristic, complemented
15	#14535760	C₂	1	1	yes	maximal, characteristic, complemented
16	#14535660	C₂	1	1	yes	maximal, characteristic, complemented
17	#14535287	C₂	1	1	yes	maximal, characteristic
18	#14534961	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534959	C₂	1	1	yes	maximal, characteristic, complemented
20	#14534491	C₂	1	1	yes	maximal, characteristic, complemented
21	#14534448	C₂	1	1	yes	maximal, characteristic, complemented
22	#14534429	C₂	1	1	yes	maximal, characteristic, complemented
23	#14534426	C₂	1	1	yes	maximal, characteristic, complemented
24	#14534013	C₂	1	1	yes	maximal, characteristic, complemented
25	#14534004	C₂	1	1	yes	maximal, characteristic, complemented
26	#14532471	C₂	1	1	yes	maximal, characteristic, complemented
27	#14532461	C₂	1	1	yes	maximal, characteristic, complemented
28	#14531423	C₂	1	1	yes	maximal, characteristic
29	#14531416	C₂	1	1	yes	maximal, characteristic
30	#14531222	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2713	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587583	C₂²	1	1	yes	characteristic
33	C₂×#10587632	C₂²	1	1	yes	characteristic
34	C₂×#10587579	C₂²	1	1	yes	characteristic
35	C₂×#10587578	C₂²	1	1	yes	characteristic
36	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic
37	#11762751	C₂²	1	1	yes	characteristic
38	#11762751	C₂²	1	1	yes	characteristic
39	#11762751	C₂²	1	1	yes	characteristic
40	#11762751	C₂²	1	1	yes	characteristic
41	#11762751	C₂²	1	1	yes	characteristic
42	#11762751	C₂²	1	1	yes	characteristic
43	#11762750	C₂²	1	1	yes	characteristic
44	#11762749	C₂²	1	1	yes	characteristic
45	#11762749	C₂²	1	1	yes	characteristic
46	#11762748	C₂²	1	1	yes	characteristic
47	#11762748	C₂²	1	1	yes	characteristic
48	#11762748	C₂²	1	1	yes	characteristic
49	#11762744	C₂²	1	1	yes	characteristic
50	#11762744	C₂²	1	1	yes	characteristic
51	#11762743	C₂²	1	1	yes	characteristic
52	#11762743	C₂²	1	1	yes	characteristic
53	#11762742	C₂²	1	1	yes	characteristic
54	#11762742	C₂²	1	1	yes	characteristic
55	#11762741	C₂²	1	1	yes	characteristic
56	#11762739	C₂²	1	1	yes	characteristic
57	#11762733	C₂²	1	1	yes	characteristic
58	#11762731	C₂²	1	1	yes	characteristic
59	#11762731	C₂²	1	1	yes	characteristic
60	#11762731	C₂²	1	1	yes	characteristic
61	#11762731	C₂²	1	1	yes	characteristic
62	#11762731	C₂²	1	1	yes	characteristic
63	#11762730	C₂²	1	1	yes	characteristic
64	#11762730	C₂²	1	1	yes	characteristic
65	#11762730	C₂²	1	1	yes	characteristic
66	#11762730	C₂²	1	1	yes	characteristic
67	#11762729	C₂²	1	1	yes	characteristic
68	#11762729	C₂²	1	1	yes	characteristic
69	#11762729	C₂²	1	1	yes	characteristic
70	#11762728	C₂²	1	1	yes	characteristic
71	#11762722	C₂²	1	1	yes	characteristic
72	#11762722	C₂²	1	1	yes	characteristic
73	#11762722	C₂²	1	1	yes	characteristic
74	#11762722	C₂²	1	1	yes	characteristic
75	#11762722	C₂²	1	1	yes	characteristic
76	#11762720	C₂²	1	1	yes	characteristic
77	#11762720	C₂²	1	1	yes	characteristic
78	#11762720	C₂²	1	1	yes	characteristic
79	#11762716	C₂²	1	1	yes	characteristic
80	#11762716	C₂²	1	1	yes	characteristic
81	#11762716	C₂²	1	1	yes	characteristic
82	#11762715	C₂²	1	1	yes	characteristic
83	#11762714	C₂²	1	1	yes	characteristic
84	#11762713	C₂²	1	1	yes	characteristic
85	#11762713	C₂²	1	1	yes	characteristic
86	#11762713	C₂²	1	1	yes	characteristic
87	#11762713	C₂²	1	1	yes	characteristic
88	#11762713	C₂²	1	1	yes	characteristic
89	#11762713	C₂²	1	1	yes	characteristic
90	#11762711	C₂²	1	1	yes	characteristic
91	#11762710	C₂²	1	1	yes	characteristic
92	#11762708	C₂²	1	1	yes	characteristic
93	#11762708	C₂²	1	1	yes	characteristic
94	#11762708	C₂²	1	1	yes	characteristic
95	#11762707	C₂²	1	1	yes	characteristic
96	#11762707	C₂²	1	1	yes	characteristic
97	#11762706	C₂²	1	1	yes	characteristic
98	#11762705	C₂²	1	1	yes	characteristic
99	#11762705	C₂²	1	1	yes	characteristic
100	#11762704	C₂²	1	1	yes	characteristic
101	#11762704	C₂²	1	1	yes	characteristic
102	#11762701	C₂²	1	1	yes	characteristic
103	#11762701	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	#11762698	C₂²	1	1	yes	characteristic
109	#11762698	C₂²	1	1	yes	characteristic
110	#11762695	C₂²	1	1	yes	characteristic
111	#11762695	C₂²	1	1	yes	characteristic
112	#11762695	C₂²	1	1	yes	characteristic
113	#11762695	C₂²	1	1	yes	characteristic
114	#11762694	C₂²	1	1	yes	characteristic
115	#11762693	C₂²	1	1	yes	characteristic
116	#11762693	C₂²	1	1	yes	characteristic
117	#11762692	C₂²	1	1	yes	characteristic
118	#11762692	C₂²	1	1	yes	characteristic
119	#11762692	C₂²	1	1	yes	characteristic
120	#11762692	C₂²	1	1	yes	characteristic
121	#11762691	C₂²	1	1	yes	characteristic
122	#11762691	C₂²	1	1	yes	characteristic
123	#11762691	C₂²	1	1	yes	characteristic
124	#11762690	C₂²	1	1	yes	characteristic
125	#11762690	C₂²	1	1	yes	characteristic
126	#11762690	C₂²	1	1	yes	characteristic
127	#11762690	C₂²	1	1	yes	characteristic
128	#11762690	C₂²	1	1	yes	characteristic
129	#11762690	C₂²	1	1	yes	characteristic
130	#11762687	C₂²	1	1	yes	characteristic
131	#11762687	C₂²	1	1	yes	characteristic
132	#11762687	C₂²	1	1	yes	characteristic
133	#11762687	C₂²	1	1	yes	characteristic
134	#11762683	C₂²	1	1	yes	characteristic
135	#11762683	C₂²	1	1	yes	characteristic
136	#11762683	C₂²	1	1	yes	characteristic
137	#11762683	C₂²	1	1	yes	characteristic
138	#11762683	C₂²	1	1	yes	characteristic
139	#11762683	C₂²	1	1	yes	characteristic
140	#11762680	C₂²	1	1	yes	characteristic
141	#11762680	C₂²	1	1	yes	characteristic
142	#11762680	C₂²	1	1	yes	characteristic
143	#11762680	C₂²	1	1	yes	characteristic
144	#11762680	C₂²	1	1	yes	characteristic
145	#11762680	C₂²	1	1	yes	characteristic
146	#11762680	C₂²	1	1	yes	characteristic
147	#11762680	C₂²	1	1	yes	characteristic
148	#11762678	C₂²	1	1	yes	characteristic
149	#11762676	C₂²	1	1	yes	characteristic
150	#11762675	C₂²	1	1	yes	characteristic
151	#11762674	C₂²	1	1	yes	characteristic
152	#11762673	C₂²	1	1	yes	characteristic
153	#11762673	C₂²	1	1	yes	characteristic
154	#11762671	C₂²	1	1	yes	characteristic
155	#11762671	C₂²	1	1	yes	characteristic
156	#11762671	C₂²	1	1	yes	characteristic
157	#11762668	C₂²	1	1	yes	characteristic
158	#11762668	C₂²	1	1	yes	characteristic
159	#11762666	C₂²	1	1	yes	characteristic
160	#11762666	C₂²	1	1	yes	characteristic
161	#11762666	C₂²	1	1	yes	characteristic
162	#11762666	C₂²	1	1	yes	characteristic
163	#11762666	C₂²	1	1	yes	characteristic
164	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
165	#11762660	C₂²	1	1	yes	characteristic
166	C₄×#63227	C₂²	1	1	yes	characteristic
167	#11762656	C₂²	1	1	yes	characteristic
168	#11762656	C₂²	1	1	yes	characteristic
169	#11762655	C₂²	1	1	yes	characteristic
170	#11762654	C₂²	1	1	yes	characteristic
171	#95×D₁₇	C₂²	1	1	yes	characteristic
172	C₂×C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
173	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
174	C₁₇×#400	C₂²	1	1	yes	characteristic
175	C₁₇×#400	C₂²	1	1	yes	characteristic
176	C₁₇×#398	C₂²	1	1	yes	characteristic
177	C₁₇×#398	C₂²	1	1	yes	characteristic
178	C₁₇×#395	C₂²	1	1	yes	characteristic
179	C₁₇×#395	C₂²	1	1	yes	characteristic
180	C₁₇×#391	C₂²	1	1	yes	characteristic
181	C₁₇×#391	C₂²	1	1	yes	characteristic
182	C₁₇×#389	C₂²	1	1	yes	characteristic
183	C₁₇×#387	C₂²	1	1	yes	characteristic
184	C₁₇×#387	C₂²	1	1	yes	characteristic
185	C₁₇×#387	C₂²	1	1	yes	characteristic
186	C₁₇×#387	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×D₆₈	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
196	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
197	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
198	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
199	C₁₇×C₄⋊Q₈	—	4	2	no	—
200	C₁₇×#125	—	4	2	no	—
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×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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×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	#10587632	—	4	2	no	—
219	C₂×#63227	C₂³	1	1	yes	characteristic
220	C₂×#63227	C₂³	1	1	yes	characteristic
221	C₂×#63227	C₂³	1	1	yes	characteristic
222	C₂×#63227	C₂³	1	1	yes	characteristic
223	C₂×#63227	C₂³	1	1	yes	characteristic
224	C₂×#63227	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₁₇	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×#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×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
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	#10587583	—	4	2	no	—
282	#10587579	Q₈	1	8	yes	complemented
283	#10587578	—	4	2	no	—
284	C₄²×D₁₇	—	4	2	no	—
285	C₁₇×#95	C₂³	1	1	yes	characteristic
286	C₁₇×#95	C₂³	1	1	yes	characteristic
287	C₁₇×#95	C₂³	1	1	yes	characteristic
288	C₁₇×#95	C₂³	1	1	yes	characteristic
289	C₁₇×#95	C₂³	1	1	yes	characteristic
290	C₁₇×#95	C₂³	1	1	yes	characteristic
291	C₁₇×#95	C₂³	1	1	yes	characteristic
292	C₁₇×#95	C₂³	1	1	yes	characteristic
293	C₁₇×#95	C₂³	1	1	yes	characteristic
294	C₁₇×#95	C₂³	1	1	yes	characteristic
295	C₁₇×#95	C₂³	1	1	yes	characteristic
296	C₁₇×#95	C₂³	1	1	yes	characteristic
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	#10587502	C₂³	1	1	yes	characteristic
302	#10587502	C₂³	1	1	yes	characteristic
303	#10587502	C₂³	1	1	yes	characteristic
304	#10587502	C₂³	1	1	yes	characteristic
305	#10587502	C₂³	1	1	yes	characteristic
306	#10587502	C₂³	1	1	yes	characteristic
307	#10587502	C₂³	1	1	yes	characteristic
308	#10587502	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	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
350	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
351	C₂×Q₈×C₁₇	—	2	2	no	—
352	C₂×Q₈×C₁₇	—	4	1	no	—
353	C₂×Q₈×C₁₇	—	4	1	no	—
354	C₂×Q₈×C₁₇	—	4	1	no	—
355	C₂×Q₈×C₁₇	—	4	1	no	—
356	C₂×Q₈×C₁₇	—	4	1	no	—
357	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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×Dic₁₇	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₆₈	—	4	1	no	—
387	C₂×D₆₈	—	4	1	no	—
388	C₂×D₆₈	C₂×Q₈	1	4	yes	—
389	C₂×C₄×D₁₇	—	2	2	no	—
390	C₂×C₄×D₁₇	—	4	1	no	—
391	C₂×C₄×D₁₇	—	4	1	no	—
392	C₂×C₄×D₁₇	—	4	1	no	—
393	C₂×C₄×D₁₇	—	4	1	no	—
394	C₂×C₄×D₁₇	—	4	1	no	—
395	C₂×C₄×D₁₇	—	4	1	no	—
396	C₂×C₄×D₁₇	—	4	1	no	—
397	C₂×C₄×D₁₇	—	4	1	no	—
398	C₂×C₄×D₁₇	—	4	1	no	—
399	C₂×C₄×D₁₇	—	4	1	no	—
400	C₂×C₄×D₁₇	—	4	1	no	—
401	C₂×C₄×D₁₇	—	4	1	no	—
402	C₂×C₄×D₁₇	—	4	1	no	—
403	C₂×C₄×D₁₇	—	4	1	no	—
404	C₂×C₄×D₁₇	—	4	1	no	—
405	C₂×C₄×D₁₇	C₂×Q₈	1	4	yes	—
406	C₂×C₄×D₁₇	C₂×Q₈	1	4	yes	—
407	C₂×Dic₃₄	—	4	1	no	—
408	C₂×Dic₃₄	—	4	1	no	—
409	C₂×Dic₃₄	—	4	1	no	—
410	C₂×Dic₃₄	—	4	1	no	—
411	C₂×Dic₃₄	—	4	1	no	—
412	C₂×Dic₃₄	—	4	1	no	—
413	C₂×Dic₃₄	—	4	1	no	—
414	C₂×Dic₃₄	—	4	1	no	—
415	C₂×Dic₃₄	—	4	1	no	—
416	C₄⋊C₄×C₁₇	—	2	2	no	—
417	C₄⋊C₄×C₁₇	—	2	2	no	—
418	C₄⋊C₄×C₁₇	—	2	2	no	—
419	C₄⋊C₄×C₁₇	—	4	1	no	—
420	C₄⋊C₄×C₁₇	—	4	1	no	—
421	C₄⋊C₄×C₁₇	—	4	1	no	—
422	C₄⋊C₄×C₁₇	—	4	1	no	—
423	C₄⋊C₄×C₁₇	—	4	1	no	—
424	C₄⋊C₄×C₁₇	—	4	1	no	—
425	C₄⋊C₄×C₁₇	—	4	1	no	—
426	C₄⋊C₄×C₁₇	—	4	1	no	—
427	C₄⋊C₄×C₁₇	—	4	1	no	—
428	C₄⋊C₄×C₁₇	—	4	1	no	—
429	C₄⋊C₄×C₁₇	C₂×Q₈	1	4	yes	—
430	C₄²×C₁₇	—	2	2	no	—
431	C₄²×C₁₇	—	4	1	no	—
432	C₄²×C₁₇	—	4	1	no	—
433	#63227	—	2	2	no	—
434	#63227	—	4	1	no	—
435	#63227	—	4	1	no	—
436	#63227	—	4	1	no	—
437	#63227	—	4	1	no	—
438	#63227	—	4	1	no	—
439	#63227	—	4	1	no	—
440	#63227	—	4	1	no	—
441	#63227	—	4	1	no	—
442	#63227	—	4	1	no	—
443	#63227	—	4	1	no	—
444	#63227	—	4	1	no	—
445	#63227	—	4	1	no	—
446	#63227	—	4	1	no	—
447	#63227	—	4	1	no	—
448	#63227	—	4	1	no	—
449	#63227	—	4	1	no	—
450	#63227	—	4	1	no	—
451	#63227	—	4	1	no	—
452	#63227	—	4	1	no	—
453	#63227	C₂×Q₈	1	4	yes	—
454	#63227	C₂×Q₈	1	4	yes	—
455	C₄⋊Dic₁₇	—	2	2	no	—
456	C₄⋊Dic₁₇	—	4	1	no	—
457	C₄⋊Dic₁₇	—	4	1	no	—
458	C₄⋊Dic₁₇	—	4	1	no	—
459	C₄⋊Dic₁₇	—	4	1	no	—
460	C₄⋊Dic₁₇	—	4	1	no	—
461	C₄⋊Dic₁₇	—	4	1	no	—
462	C₄⋊Dic₁₇	—	4	1	no	—
463	C₄⋊Dic₁₇	—	4	1	no	—
464	C₄⋊Dic₁₇	—	4	1	no	—
465	C₄⋊Dic₁₇	—	4	1	no	—
466	C₄⋊Dic₁₇	—	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	#63225	—	4	1	no	—
482	#63225	—	4	1	no	—
483	#63225	—	4	1	no	—
484	#63225	—	4	1	no	—
485	C₄×Dic₁₇	—	2	2	no	—
486	C₄×Dic₁₇	—	4	1	no	—
487	C₄×Dic₁₇	—	4	1	no	—
488	C₄×Dic₁₇	—	4	1	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	—	4	1	no	—
494	C₄×Dic₁₇	C₂×Q₈	1	4	yes	—
495	#36755	—	17	1	no	maximal, Sylow
496	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
497	C₂²×D₁₇	—	2	1	no	—
498	C₂²×D₁₇	—	2	1	no	—
499	C₂²×D₁₇	—	2	1	no	—
500	C₂²×D₁₇	—	2	1	no	—
501	C₂²×D₁₇	—	2	1	no	—
502	C₂²×D₁₇	—	2	1	no	—
503	C₂²×D₁₇	—	2	1	no	—
504	C₂²×D₁₇	—	2	1	no	—
505	C₂²×D₁₇	—	2	1	no	—
506	C₂²×D₁₇	—	2	1	no	—
507	C₂²×D₁₇	—	2	1	no	—
508	C₂²×D₁₇	—	2	1	no	—
509	C₂²×D₁₇	C₂²×Q₈	1	2	yes	—
510	C₂²×D₁₇	C₂²×Q₈	1	2	yes	—
511	Q₈×C₁₇	—	8	2	no	—
512	Q₈×C₁₇	—	8	2	no	—
513	C₂×C₄×C₁₇	—	2	1	no	—
514	C₂×C₄×C₁₇	—	2	1	no	—
515	C₂×C₄×C₁₇	—	2	1	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	—	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	C₂²×Q₈	1	2	yes	—
555	C₂×C₄×C₁₇	C₂²×Q₈	1	2	yes	—
556	C₂×C₄×C₁₇	C₂²×Q₈	1	2	yes	—
557	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
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	1	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	—	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	C₂²×Q₈	1	2	yes	—
599	C₂×Dic₁₇	C₂²×Q₈	1	2	yes	—
600	D₆₈	—	4	4	no	—
601	C₄×D₁₇	—	4	4	no	—
602	C₄×D₁₇	—	4	4	no	—
603	C₄×D₁₇	—	4	4	no	—
604	C₄×D₁₇	—	4	4	no	—
605	C₄×D₁₇	—	8	2	no	—
606	C₄×D₁₇	—	8	2	no	—
607	Dic₃₄	—	8	2	no	—
608	Dic₃₄	—	8	2	no	—
609	Dic₃₄	—	8	2	no	—
610	#2855	—	17	1	no	—
611	#2851	—	17	1	no	—
612	#2805	—	17	1	no	—
613	#2804	—	17	1	no	—
614	#2790	—	17	1	no	—
615	#2788	—	17	1	no	—
616	#2788	—	17	1	no	—
617	#2784	—	17	1	no	—
618	#2780	—	17	1	no	—
619	#2774	—	17	1	no	—
620	#2763	—	17	1	no	—
621	#2763	—	17	1	no	—
622	#2755	—	17	1	no	—
623	#2742	—	17	1	no	—
624	#2729	—	17	1	no	—
625	#2720	—	17	1	no	—
626	#2713	D₁₇	1	1	yes	characteristic, complemented
627	#2692	—	17	1	no	—
628	#2665	—	17	1	no	—
629	#2665	—	17	1	no	—
630	#2612	—	17	1	no	—
631	#2607	—	17	1	no	—
632	#2605	—	17	1	no	—
633	#2605	—	17	1	no	—
634	#2570	—	17	1	no	—
635	#2569	—	17	1	no	—
636	#2439	—	17	1	no	—
637	#2438	—	17	1	no	—
638	#2319	—	17	1	no	—
639	#2318	—	17	1	no	—
640	#2290	—	17	1	no	—
641	C₂²×C₁₇	C₂³×Q₈	1	1	yes	characteristic
642	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
643	C₂²×C₁₇	#585	1	1	yes	characteristic
644	C₂²×C₁₇	#585	1	1	yes	characteristic
645	C₂²×C₁₇	#585	1	1	yes	characteristic
646	C₂²×C₁₇	#585	1	1	yes	characteristic
647	C₂²×C₁₇	#585	1	1	yes	characteristic
648	C₂×D₁₇	—	2	2	no	—
649	C₂×D₁₇	—	2	2	no	—
650	C₂×D₁₇	—	2	2	no	—
651	C₂×D₁₇	—	2	2	no	—
652	C₂×D₁₇	—	2	2	no	—
653	C₂×D₁₇	—	2	2	no	—
654	C₂×D₁₇	—	4	1	no	—
655	C₂×D₁₇	—	4	1	no	—
656	C₂×D₁₇	—	4	1	no	—
657	C₂×D₁₇	—	4	1	no	—
658	C₂×D₁₇	—	4	1	no	—
659	C₂×D₁₇	—	4	1	no	—
660	C₂×D₁₇	—	4	1	no	—
661	C₂×D₁₇	—	4	1	no	—
662	C₄×C₁₇	—	2	2	no	—
663	C₄×C₁₇	—	2	2	no	—
664	C₄×C₁₇	—	2	2	no	—
665	C₄×C₁₇	—	2	2	no	—
666	C₄×C₁₇	—	4	1	no	—
667	C₄×C₁₇	—	4	1	no	—
668	C₄×C₁₇	—	4	1	no	—
669	C₄×C₁₇	—	4	1	no	—
670	C₄×C₁₇	—	4	1	no	—
671	C₄×C₁₇	—	4	1	no	—
672	C₄×C₁₇	—	4	1	no	—
673	C₄×C₁₇	—	4	1	no	—
674	C₄×C₁₇	—	4	1	no	—
675	C₄×C₁₇	—	4	1	no	—
676	C₄×C₁₇	—	4	1	no	—
677	Dic₁₇	—	2	2	no	—
678	Dic₁₇	—	2	2	no	—
679	Dic₁₇	—	4	1	no	—
680	Dic₁₇	—	4	1	no	—
681	Dic₁₇	—	4	1	no	—
682	Dic₁₇	—	4	1	no	—
683	Dic₁₇	—	4	1	no	—
684	Dic₁₇	—	4	1	no	—
685	Dic₁₇	—	4	1	no	—
686	Dic₁₇	—	4	1	no	—
687	Dic₁₇	—	4	1	no	—
688	Dic₁₇	—	4	1	no	—
689	Dic₁₇	—	4	1	no	—
690	Dic₁₇	—	4	1	no	—
691	C₂×C₄⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
692	C₂×#125	C₂×D₁₇	1	1	yes	characteristic
693	C₂×C₂²⋊Q₈	—	17	1	no	—
694	C₂×C₂²⋊Q₈	—	17	1	no	—
695	C₂×C₄×D₄	—	17	1	no	—
696	C₂×#117	—	17	1	no	—
697	C₂²×C₄²	—	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	—	17	1	no	—
705	#400	—	17	1	no	—
706	#400	—	17	1	no	—
707	#400	—	17	1	no	—
708	#400	—	17	1	no	—
709	#400	—	17	1	no	—
710	#400	C₂×D₁₇	1	1	yes	characteristic
711	#400	C₂×D₁₇	1	1	yes	characteristic
712	#399	—	17	1	no	—
713	#399	—	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	C₂×D₁₇	1	1	yes	characteristic
721	#398	C₂×D₁₇	1	1	yes	characteristic
722	#396	—	17	1	no	—
723	#396	—	17	1	no	—
724	#396	—	17	1	no	—
725	#396	—	17	1	no	—
726	#396	—	17	1	no	—
727	#396	—	17	1	no	—
728	#395	—	17	1	no	—
729	#395	—	17	1	no	—
730	#395	—	17	1	no	—
731	#395	—	17	1	no	—
732	#395	—	17	1	no	—
733	#395	—	17	1	no	—
734	#395	—	17	1	no	—
735	#395	—	17	1	no	—
736	#395	C₂×D₁₇	1	1	yes	characteristic
737	#395	C₂×D₁₇	1	1	yes	characteristic
738	#393	—	17	1	no	—
739	#393	—	17	1	no	—
740	#393	—	17	1	no	—
741	#393	—	17	1	no	—
742	#393	—	17	1	no	—
743	#393	—	17	1	no	—
744	#393	—	17	1	no	—
745	#393	—	17	1	no	—
746	#391	—	17	1	no	—
747	#391	—	17	1	no	—
748	#391	—	17	1	no	—
749	#391	—	17	1	no	—
750	#391	—	17	1	no	—
751	#391	—	17	1	no	—
752	#391	—	17	1	no	—
753	#391	—	17	1	no	—
754	#391	—	17	1	no	—
755	#391	—	17	1	no	—
756	#391	—	17	1	no	—
757	#391	C₂×D₁₇	1	1	yes	characteristic
758	#391	C₂×D₁₇	1	1	yes	characteristic
759	#390	—	17	1	no	—
760	#390	—	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	C₂×D₁₇	1	1	yes	characteristic
772	#388	—	17	1	no	—
773	#388	—	17	1	no	—
774	#388	—	17	1	no	—
775	#388	—	17	1	no	—
776	#388	—	17	1	no	—
777	#388	—	17	1	no	—
778	#388	—	17	1	no	—
779	#388	—	17	1	no	—
780	#387	—	17	1	no	—
781	#387	—	17	1	no	—
782	#387	—	17	1	no	—
783	#387	—	17	1	no	—
784	#387	—	17	1	no	—
785	#387	—	17	1	no	—
786	#387	—	17	1	no	—
787	#387	—	17	1	no	—
788	#387	—	17	1	no	—
789	#387	—	17	1	no	—
790	#387	—	17	1	no	—
791	#387	—	17	1	no	—
792	#387	—	17	1	no	—
793	#387	—	17	1	no	—
794	#387	—	17	1	no	—
795	#387	—	17	1	no	—
796	#387	—	17	1	no	—
797	#387	—	17	1	no	—
798	#387	—	17	1	no	—
799	#387	—	17	1	no	—
800	#387	C₂×D₁₇	1	1	yes	characteristic
801	#387	C₂×D₁₇	1	1	yes	characteristic
802	#387	C₂×D₁₇	1	1	yes	characteristic
803	#387	C₂×D₁₇	1	1	yes	characteristic
804	#386	—	17	1	no	—
805	#386	—	17	1	no	—
806	#386	—	17	1	no	—
807	#386	—	17	1	no	—
808	#385	—	17	1	no	—
809	#385	—	17	1	no	—
810	#385	—	17	1	no	—
811	#385	—	17	1	no	—
812	#385	—	17	1	no	—
813	#385	—	17	1	no	—
814	#385	—	17	1	no	—
815	#385	—	17	1	no	—
816	#385	—	17	1	no	—
817	#385	—	17	1	no	—
818	#385	—	17	1	no	—
819	#385	—	17	1	no	—
820	#385	—	17	1	no	—
821	#385	—	17	1	no	—
822	#384	—	17	1	no	—
823	#383	—	17	1	no	—
824	#382	—	17	1	no	—
825	#382	—	17	1	no	—
826	#382	—	17	1	no	—
827	#382	—	17	1	no	—
828	#381	—	17	1	no	—
829	#381	—	17	1	no	—
830	#381	—	17	1	no	—
831	#380	—	17	1	no	—
832	#380	—	17	1	no	—
833	#380	—	17	1	no	—
834	#380	—	17	1	no	—
835	#380	—	17	1	no	—
836	#380	—	17	1	no	—
837	#380	—	17	1	no	—
838	C₄×C₄⋊C₄	—	17	1	no	—
839	C₄×C₄⋊C₄	—	17	1	no	—
840	C₄×C₂²⋊C₄	—	17	1	no	—
841	C₄×C₂²⋊C₄	—	17	1	no	—
842	C₄×C₂²⋊C₄	—	17	1	no	—
843	#376	—	17	1	no	—
844	#376	—	17	1	no	—
845	C₂×#95	—	17	1	no	—
846	C₂×C₁₇	#3458	1	1	yes	characteristic
847	C₂×C₁₇	#3501	1	1	yes	characteristic
848	C₂×C₁₇	#3504	1	1	yes	characteristic
849	C₂×C₁₇	#3533	1	1	yes	characteristic
850	C₂×C₁₇	#3540	1	1	yes	characteristic
851	C₂×C₁₇	#3566	1	1	yes	characteristic
852	C₂×C₁₇	#3568	1	1	yes	characteristic
853	D₁₇	—	4	2	no	—
854	D₁₇	—	4	2	no	—
855	C₂²×Q₈	—	17	1	no	—
856	C₂²×Q₈	—	17	1	no	—
857	C₂²×Q₈	—	17	1	no	—
858	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
859	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
860	C₂²×D₄	—	17	1	no	—
861	C₂³×C₄	—	17	1	no	—
862	C₂³×C₄	—	17	1	no	—
863	C₂³×C₄	—	17	1	no	—
864	C₂³×C₄	—	17	1	no	—
865	C₂³×C₄	—	17	1	no	—
866	C₂³×C₄	—	17	1	no	—
867	C₄⋊Q₈	—	4	2	no	—
868	#125	—	4	2	no	—
869	C₂²⋊Q₈	—	68	2	no	—
870	C₂²⋊Q₈	—	68	2	no	—
871	C₄×D₄	—	17	8	no	—
872	#117	—	68	2	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	C₂²×D₁₇	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	17	1	no	—
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	—	17	1	no	—
925	C₂×C₂²⋊C₄	—	17	1	no	—
926	C₂×C₂²⋊C₄	—	17	1	no	—
927	C₂×C₂²⋊C₄	—	17	1	no	—
928	C₂×C₂²⋊C₄	—	17	1	no	—
929	C₂×C₂²⋊C₄	—	17	1	no	—
930	C₂×C₂²⋊C₄	—	17	1	no	—
931	C₂×C₂²⋊C₄	—	17	1	no	—
932	C₂×C₂²⋊C₄	—	17	1	no	—
933	C₂×C₂²⋊C₄	—	17	1	no	—
934	C₂×C₂²⋊C₄	—	17	1	no	—
935	C₂×C₂²⋊C₄	—	17	1	no	—
936	C₂×C₂²⋊C₄	—	17	1	no	—
937	C₂×C₂²⋊C₄	—	17	1	no	—
938	C₂×C₂²⋊C₄	—	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	—	68	2	no	—
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	#95	—	17	1	no	—
954	#95	—	17	1	no	—
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	#95	C₂²×D₁₇	1	1	yes	characteristic
1012	#95	C₂²×D₁₇	1	1	yes	characteristic
1013	#95	C₂²×D₁₇	1	1	yes	characteristic
1014	#95	C₂²×D₁₇	1	1	yes	characteristic
1015	#95	C₂²×D₁₇	1	1	yes	characteristic
1016	#95	C₂²×D₁₇	1	1	yes	characteristic
1017	C₁₇	#36755	1	1	yes	characteristic, complemented, Sylow
1018	C₂⁴	—	17	1	no	—
1019	C₂⁴	—	17	1	no	—
1020	C₂×Q₈	—	2	2	no	—
1021	C₂×Q₈	—	4	1	no	—
1022	C₂×Q₈	—	4	1	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×Q₈	—	4	1	no	—
1026	C₂×Q₈	—	68	1	no	—
1027	C₂×Q₈	—	68	1	no	—
1028	C₂×Q₈	—	68	1	no	—
1029	C₂×Q₈	—	68	1	no	—
1030	C₂×Q₈	—	68	1	no	—
1031	C₂×Q₈	—	68	1	no	—
1032	C₂×Q₈	—	68	1	no	—
1033	C₂×Q₈	—	68	1	no	—
1034	C₂×Q₈	—	68	1	no	—
1035	C₂×D₄	—	17	4	no	—
1036	C₂×D₄	—	68	1	no	—
1037	C₂×D₄	—	68	1	no	—
1038	C₂²×C₄	—	17	1	no	—
1039	C₂²×C₄	—	17	1	no	—
1040	C₂²×C₄	—	17	4	no	—
1041	C₂²×C₄	—	17	4	no	—
1042	C₂²×C₄	—	17	1	no	—
1043	C₂²×C₄	—	17	1	no	—
1044	C₂²×C₄	—	17	1	no	—
1045	C₂²×C₄	—	17	1	no	—
1046	C₂²×C₄	—	17	1	no	—
1047	C₂²×C₄	—	17	1	no	—
1048	C₂²×C₄	—	17	1	no	—
1049	C₂²×C₄	—	17	1	no	—
1050	C₂²×C₄	—	17	1	no	—
1051	C₂²×C₄	—	17	1	no	—
1052	C₂²×C₄	—	17	1	no	—
1053	C₂²×C₄	—	17	1	no	—
1054	C₂²×C₄	—	34	2	no	—
1055	C₂²×C₄	—	68	1	no	—
1056	C₂²×C₄	—	68	1	no	—
1057	C₂²×C₄	—	68	1	no	—
1058	C₂²×C₄	—	68	1	no	—
1059	C₂²×C₄	—	68	1	no	—
1060	C₂²×C₄	—	68	1	no	—
1061	C₂²×C₄	—	68	1	no	—
1062	C₂²×C₄	—	68	1	no	—
1063	C₂²×C₄	—	68	1	no	—
1064	C₂²×C₄	—	68	1	no	—
1065	C₂²×C₄	—	68	1	no	—
1066	C₂²×C₄	—	68	1	no	—
1067	C₂²×C₄	—	68	1	no	—
1068	C₂²×C₄	—	68	1	no	—
1069	C₂²×C₄	—	68	1	no	—
1070	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	34	2	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	C₄⋊C₄	—	68	1	no	—
1121	C₄⋊C₄	—	68	1	no	—
1122	C₄⋊C₄	—	68	1	no	—
1123	C₄⋊C₄	—	68	1	no	—
1124	C₄⋊C₄	—	68	1	no	—
1125	C₄⋊C₄	—	68	1	no	—
1126	C₄⋊C₄	—	68	1	no	—
1127	C₄⋊C₄	—	68	1	no	—
1128	C₄⋊C₄	Q₈×D₁₇	1	4	yes	—
1129	C₂²⋊C₄	—	17	4	no	—
1130	C₂²⋊C₄	—	17	4	no	—
1131	C₂²⋊C₄	—	34	2	no	—
1132	C₂²⋊C₄	—	68	1	no	—
1133	C₂²⋊C₄	—	68	1	no	—
1134	C₂²⋊C₄	—	68	1	no	—
1135	C₂²⋊C₄	—	68	1	no	—
1136	C₂²⋊C₄	—	68	1	no	—
1137	C₂²⋊C₄	—	68	1	no	—
1138	C₂²⋊C₄	—	68	1	no	—
1139	C₂²⋊C₄	—	68	1	no	—
1140	C₂²⋊C₄	—	68	1	no	—
1141	C₂²⋊C₄	—	68	1	no	—
1142	C₂²⋊C₄	—	68	1	no	—
1143	C₂²⋊C₄	—	68	1	no	—
1144	C₂²⋊C₄	—	68	1	no	—
1145	C₂²⋊C₄	—	68	1	no	—
1146	C₂²⋊C₄	—	68	1	no	—
1147	C₂²⋊C₄	—	68	1	no	—
1148	C₂²⋊C₄	—	68	1	no	—
1149	C₂²⋊C₄	—	68	1	no	—
1150	C₂²⋊C₄	—	68	1	no	—
1151	C₄²	—	2	2	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	17	4	no	—
1155	C₄²	—	34	2	no	—
1156	C₄²	—	68	1	no	—
1157	C₄²	—	68	1	no	—
1158	C₄²	—	68	1	no	—
1159	C₄²	—	68	1	no	—
1160	C₄²	—	68	1	no	—
1161	C₄²	—	68	1	no	—
1162	C₄²	—	68	1	no	—
1163	C₄²	—	68	1	no	—
1164	C₂³	—	17	2	no	—
1165	C₂³	—	17	2	no	—
1166	C₂³	—	34	1	no	—
1167	C₂³	—	34	1	no	—
1168	C₂³	—	34	1	no	—
1169	C₂³	—	34	1	no	—
1170	C₂³	—	34	1	no	—
1171	C₂³	—	34	1	no	—
1172	C₂³	—	34	1	no	—
1173	C₂³	—	34	1	no	—
1174	C₂³	—	34	1	no	—
1175	C₂³	—	34	1	no	—
1176	C₂³	—	34	1	no	—
1177	C₂³	—	34	1	no	—
1178	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1179	Q₈	—	8	2	no	—
1180	Q₈	—	8	2	no	—
1181	Q₈	—	136	2	no	—
1182	Q₈	—	136	2	no	—
1183	Q₈	—	136	2	no	—
1184	D₄	—	68	4	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	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	17	2	no	—
1227	C₂×C₄	—	17	2	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	—	34	1	no	—
1255	C₂×C₄	—	34	1	no	—
1256	C₂×C₄	—	34	1	no	—
1257	C₂×C₄	—	34	1	no	—
1258	C₂×C₄	—	34	1	no	—
1259	C₂×C₄	—	34	1	no	—
1260	C₂×C₄	—	34	1	no	—
1261	C₂×C₄	—	34	1	no	—
1262	C₂×C₄	—	34	1	no	—
1263	C₂×C₄	—	34	1	no	—
1264	C₂×C₄	—	34	1	no	—
1265	C₂×C₄	—	34	1	no	—
1266	C₂×C₄	—	34	1	no	—
1267	C₂×C₄	—	34	1	no	—
1268	C₂×C₄	—	68	4	no	—
1269	C₂×C₄	—	68	4	no	—
1270	C₂×C₄	—	68	4	no	—
1271	C₂×C₄	—	68	4	no	—
1272	C₂×C₄	—	136	2	no	—
1273	C₂×C₄	—	136	2	no	—
1274	C₂×C₄	#10587691	1	2	yes	—
1275	C₂×C₄	C₂×Q₈×D₁₇	1	2	yes	—
1276	C₂×C₄	C₂×Q₈×D₁₇	1	2	yes	—
1277	C₂×C₄	C₂×Q₈×D₁₇	1	2	yes	—
1278	C₂²	—	34	2	no	—
1279	C₂²	—	34	2	no	—
1280	C₂²	—	34	2	no	—
1281	C₂²	—	34	2	no	—
1282	C₂²	—	34	2	no	—
1283	C₂²	—	34	2	no	—
1284	C₂²	—	68	1	no	—
1285	C₂²	—	68	1	no	—
1286	C₂²	—	68	1	no	—
1287	C₂²	—	68	1	no	—
1288	C₂²	—	68	1	no	—
1289	C₂²	—	68	1	no	—
1290	C₂²	—	68	1	no	—
1291	C₂²	—	68	1	no	—
1292	C₂²	C₂²×Q₈×D₁₇	1	1	yes	characteristic
1293	C₂²	C₂×#10587691	1	1	yes	characteristic
1294	C₂²	#11763644	1	1	yes	characteristic
1295	C₂²	#11763645	1	1	yes	characteristic
1296	C₂²	#11763646	1	1	yes	characteristic
1297	C₂²	#11763646	1	1	yes	characteristic
1298	C₂²	#11763646	1	1	yes	characteristic
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	34	2	no	—
1315	C₄	—	34	2	no	—
1316	C₄	—	68	1	no	—
1317	C₄	—	68	1	no	—
1318	C₄	—	68	1	no	—
1319	C₄	—	68	1	no	—
1320	C₄	—	68	1	no	—
1321	C₄	—	68	1	no	—
1322	C₄	—	68	1	no	—
1323	C₄	—	68	1	no	—
1324	C₄	—	68	1	no	—
1325	C₄	—	68	1	no	—
1326	C₄	—	68	1	no	—
1327	C₄	—	68	1	no	—
1328	C₂	—	68	2	no	—
1329	C₂	—	68	2	no	—
1330	C₂	#14542188	1	1	yes	characteristic
1331	C₂	#14542579	1	1	yes	characteristic
1332	C₂	#14542609	1	1	yes	characteristic
1333	C₂	#14542943	1	1	yes	characteristic
1334	C₂	#14543061	1	1	yes	characteristic
1335	C₂	#14543467	1	1	yes	characteristic
1336	C₂	#14543481	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2713	C₂
prime radical	C₂²×D₆₈	C₂³
hypercenter	#2713	D₁₇
hypocenter	C₁₇	#36755
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2713

Complements

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

N	H ≅ G/N	type
1. #14537125	C₂	semidirect
2. #14537089	C₂	semidirect
3. #14536733	C₂	semidirect
5. #14536552	C₂	semidirect
6. #14536532	C₂	semidirect
7. #14536529	C₂	semidirect
10. #14536346	C₂	semidirect
11. #14536199	C₂	semidirect
12. #14536195	C₂	semidirect
13. #14536092	C₂	semidirect
14. #14535915	C₂	semidirect
15. #14535760	C₂	semidirect
16. #14535660	C₂	semidirect
18. #14534961	C₂	semidirect
19. #14534959	C₂	semidirect
20. #14534491	C₂	semidirect
21. #14534448	C₂	semidirect
22. #14534429	C₂	semidirect
23. #14534426	C₂	semidirect
24. #14534013	C₂	semidirect
25. #14534004	C₂	semidirect
26. #14532471	C₂	semidirect
27. #14532461	C₂	semidirect
31. C₁₇×#2713	C₂	semidirect
282. #10587579	Q₈	semidirect
626. #2713	D₁₇	semidirect
1017. C₁₇	#36755	semidirect

Maximal subgroups

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

subgroup	index
#14537125	2
#14537089	2
#14536733	2
#14536728	2
#14536552	2
#14536532	2
#14536529	2
#14536480	2
#14536438	2
#14536346	2
#14536199	2
#14536195	2
#14536092	2
#14535915	2
#14535760	2
#14535660	2
#14535287	2
#14534961	2
#14534959	2
#14534491	2
#14534448	2
#14534429	2
#14534426	2
#14534013	2
#14534004	2
#14532471	2
#14532461	2
#14531423	2
#14531416	2
#14531222	2
C₁₇×#2713	2
#36755	17