Subgroups — #17248853

Order 4352.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537120	C₂	1	1	yes	maximal, characteristic, complemented
2	#14537109	C₂	1	1	yes	maximal, characteristic
3	#14536773	C₂	1	1	yes	maximal, characteristic, complemented
4	#14536771	C₂	1	1	yes	maximal, characteristic, complemented
5	#14536695	C₂	1	1	yes	maximal, characteristic, complemented
6	#14536655	C₂	1	1	yes	maximal, characteristic, complemented
7	#14536606	C₂	1	1	yes	maximal, characteristic, complemented
8	#14536586	C₂	1	1	yes	maximal, characteristic, complemented
9	#14536562	C₂	1	1	yes	maximal, characteristic, complemented
10	#14536553	C₂	1	1	yes	maximal, characteristic, complemented
11	#14536543	C₂	1	1	yes	maximal, characteristic, complemented
12	#14536517	C₂	1	1	yes	maximal, characteristic, complemented
13	#14536478	C₂	1	1	yes	maximal, characteristic, complemented
14	#14536374	C₂	1	1	yes	maximal, characteristic, complemented
15	#14536364	C₂	1	1	yes	maximal, characteristic, complemented
16	#14536296	C₂	1	1	yes	maximal, characteristic, complemented
17	#14536251	C₂	1	1	yes	maximal, characteristic, complemented
18	#14535945	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534737	C₂	1	1	yes	maximal, characteristic
20	#14533283	C₂	1	1	yes	maximal, characteristic, complemented
21	#14533224	C₂	1	1	yes	maximal, characteristic
22	#14533175	C₂	1	1	yes	maximal, characteristic, complemented
23	#14533070	C₂	1	1	yes	maximal, characteristic, complemented
24	#14532606	C₂	1	1	yes	maximal, characteristic
25	#14532466	C₂	1	1	yes	maximal, characteristic, complemented
26	#14532267	C₂	1	1	yes	maximal, characteristic
27	#14532189	C₂	1	1	yes	maximal, characteristic
28	#14531452	C₂	1	1	yes	maximal, characteristic
29	#14531403	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11762694	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2646	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587572	C₂²	1	1	yes	characteristic
33	C₂×#10587572	C₂²	1	1	yes	characteristic
34	C₂×#10587564	C₂²	1	1	yes	characteristic
35	C₂×#10587567	C₂²	1	1	yes	characteristic
36	C₂×#10587563	C₂²	1	1	yes	characteristic
37	C₂×#10587563	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
39	C₂²×#63225	C₂²	1	1	yes	characteristic
40	C₂²×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
41	C₁₇⋊#401	C₂²	1	1	yes	characteristic
42	C₁₇⋊#401	C₂²	1	1	yes	characteristic
43	#11762751	C₂²	1	1	yes	characteristic
44	#11762751	C₂²	1	1	yes	characteristic
45	#11762751	C₂²	1	1	yes	characteristic
46	#11762751	C₂²	1	1	yes	characteristic
47	#11762751	C₂²	1	1	yes	characteristic
48	#11762750	C₂²	1	1	yes	characteristic
49	#11762750	C₂²	1	1	yes	characteristic
50	#11762750	C₂²	1	1	yes	characteristic
51	#11762750	C₂²	1	1	yes	characteristic
52	#11762750	C₂²	1	1	yes	characteristic
53	#11762750	C₂²	1	1	yes	characteristic
54	#11762749	C₂²	1	1	yes	characteristic
55	#11762748	C₂²	1	1	yes	characteristic
56	#11762747	C₂²	1	1	yes	characteristic
57	#11762747	C₂²	1	1	yes	characteristic
58	#11762744	C₂²	1	1	yes	characteristic
59	#11762743	C₂²	1	1	yes	characteristic
60	#11762742	C₂²	1	1	yes	characteristic
61	#11762742	C₂²	1	1	yes	characteristic
62	#11762742	C₂²	1	1	yes	characteristic
63	#11762742	C₂²	1	1	yes	characteristic
64	#11762741	C₂²	1	1	yes	characteristic
65	#11762741	C₂²	1	1	yes	characteristic
66	#11762740	C₂²	1	1	yes	characteristic
67	#11762740	C₂²	1	1	yes	characteristic
68	#11762739	C₂²	1	1	yes	characteristic
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	#11762735	C₂²	1	1	yes	characteristic
75	#11762733	C₂²	1	1	yes	characteristic
76	#11762731	C₂²	1	1	yes	characteristic
77	#11762731	C₂²	1	1	yes	characteristic
78	#11762731	C₂²	1	1	yes	characteristic
79	#11762729	C₂²	1	1	yes	characteristic
80	#11762722	C₂²	1	1	yes	characteristic
81	#11762714	C₂²	1	1	yes	characteristic
82	#11762713	C₂²	1	1	yes	characteristic
83	#11762713	C₂²	1	1	yes	characteristic
84	#11762713	C₂²	1	1	yes	characteristic
85	#11762708	C₂²	1	1	yes	characteristic
86	#11762708	C₂²	1	1	yes	characteristic
87	#11762706	C₂²	1	1	yes	characteristic
88	#11762706	C₂²	1	1	yes	characteristic
89	#11762705	C₂²	1	1	yes	characteristic
90	#11762705	C₂²	1	1	yes	characteristic
91	#11762704	C₂²	1	1	yes	characteristic
92	#11762704	C₂²	1	1	yes	characteristic
93	#11762704	C₂²	1	1	yes	characteristic
94	#11762704	C₂²	1	1	yes	characteristic
95	#11762704	C₂²	1	1	yes	characteristic
96	#11762704	C₂²	1	1	yes	characteristic
97	#11762701	C₂²	1	1	yes	characteristic
98	#11762701	C₂²	1	1	yes	characteristic
99	#11762699	C₂²	1	1	yes	characteristic
100	#11762699	C₂²	1	1	yes	characteristic
101	#11762699	C₂²	1	1	yes	characteristic
102	#11762698	C₂²	1	1	yes	characteristic
103	#11762698	C₂²	1	1	yes	characteristic
104	#11762698	C₂²	1	1	yes	characteristic
105	#11762698	C₂²	1	1	yes	characteristic
106	#11762698	C₂²	1	1	yes	characteristic
107	#11762696	C₂²	1	1	yes	characteristic
108	#11762696	C₂²	1	1	yes	characteristic
109	#11762696	C₂²	1	1	yes	characteristic
110	#11762696	C₂²	1	1	yes	characteristic
111	#11762696	C₂²	1	1	yes	characteristic
112	#11762696	C₂²	1	1	yes	characteristic
113	#11762695	C₂²	1	1	yes	characteristic
114	#11762695	C₂²	1	1	yes	characteristic
115	#11762695	C₂²	1	1	yes	characteristic
116	#11762695	C₂²	1	1	yes	characteristic
117	#11762695	C₂²	1	1	yes	characteristic
118	#11762695	C₂²	1	1	yes	characteristic
119	#11762695	C₂²	1	1	yes	characteristic
120	#11762695	C₂²	1	1	yes	characteristic
121	#11762695	C₂²	1	1	yes	characteristic
122	#11762695	C₂²	1	1	yes	characteristic
123	#11762694	C₂²	1	1	yes	characteristic
124	#11762694	C₂²	1	1	yes	characteristic
125	#11762694	C₂²	1	1	yes	characteristic
126	#11762694	C₂²	1	1	yes	characteristic
127	#11762694	C₂²	1	1	yes	characteristic
128	#11762694	C₂²	1	1	yes	characteristic
129	#11762694	C₂²	1	1	yes	characteristic
130	#11762694	C₂²	1	1	yes	characteristic
131	#11762694	C₂²	1	1	yes	characteristic
132	#11762692	C₂²	1	1	yes	characteristic
133	#11762692	C₂²	1	1	yes	characteristic
134	#11762692	C₂²	1	1	yes	characteristic
135	#11762691	C₂²	1	1	yes	characteristic
136	#11762691	C₂²	1	1	yes	characteristic
137	#11762691	C₂²	1	1	yes	characteristic
138	#11762691	C₂²	1	1	yes	characteristic
139	#11762690	C₂²	1	1	yes	characteristic
140	#11762690	C₂²	1	1	yes	characteristic
141	#11762688	C₂²	1	1	yes	characteristic
142	#11762688	C₂²	1	1	yes	characteristic
143	#11762688	C₂²	1	1	yes	characteristic
144	#11762686	C₂²	1	1	yes	characteristic
145	#11762684	C₂²	1	1	yes	characteristic
146	#11762683	C₂²	1	1	yes	characteristic
147	#11762682	C₂²	1	1	yes	characteristic
148	#11762682	C₂²	1	1	yes	characteristic
149	#11762682	C₂²	1	1	yes	characteristic
150	#11762681	C₂²	1	1	yes	characteristic
151	#11762681	C₂²	1	1	yes	characteristic
152	#11762680	C₂²	1	1	yes	characteristic
153	#11762680	C₂²	1	1	yes	characteristic
154	#11762680	C₂²	1	1	yes	characteristic
155	#11762678	C₂²	1	1	yes	characteristic
156	#11762678	C₂²	1	1	yes	characteristic
157	#11762676	C₂²	1	1	yes	characteristic
158	#11762673	C₂²	1	1	yes	characteristic
159	#11762673	C₂²	1	1	yes	characteristic
160	#11762673	C₂²	1	1	yes	characteristic
161	#11762671	C₂²	1	1	yes	characteristic
162	#11762670	C₂²	1	1	yes	characteristic
163	#11762670	C₂²	1	1	yes	characteristic
164	#11762670	C₂²	1	1	yes	characteristic
165	#11762670	C₂²	1	1	yes	characteristic
166	#11762667	C₂²	1	1	yes	characteristic
167	#11762666	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×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
173	C₁₇×#400	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×#398	C₂²	1	1	yes	characteristic
179	C₁₇×#398	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×#385	C₂²	1	1	yes	characteristic
184	C₁₇×#380	C₂²	1	1	yes	characteristic
185	C₁₇×#380	C₂²	1	1	yes	characteristic
186	C₂×C₁₇×#95	C₂²	1	1	yes	characteristic
187	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₁₇	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	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
196	C₂²×Dic₃₄	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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊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×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
216	C₂×#63227	C₂³	1	1	yes	characteristic
217	C₂×#63227	C₂³	1	1	yes	characteristic
218	C₂×#63227	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₁₇	—	2	4	no	—
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×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
241	C₂×#63225	—	4	2	no	—
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×C₄×Dic₁₇	—	4	2	no	—
266	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₇	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	#10587572	—	2	4	no	—
278	#10587572	—	4	2	no	—
279	#10587567	—	4	2	no	—
280	#10587564	—	4	2	no	—
281	#10587563	—	2	4	no	—
282	#10587563	—	4	2	no	—
283	C₁₇×#95	C₂³	1	1	yes	characteristic
284	C₁₇×#95	C₂³	1	1	yes	characteristic
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	#10587502	C₂³	1	1	yes	characteristic
300	#10587502	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	#10587502	C₂³	1	1	yes	characteristic
350	#10587502	C₂³	1	1	yes	characteristic
351	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
352	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₇	—	2	2	no	—
354	C₂²×C₄×C₁₇	—	2	2	no	—
355	C₂²×C₄×C₁₇	—	2	2	no	—
356	C₂²×C₄×C₁₇	—	4	1	no	—
357	C₂²×C₄×C₁₇	—	4	1	no	—
358	C₂²×C₄×C₁₇	—	4	1	no	—
359	C₂²×C₄×C₁₇	—	4	1	no	—
360	C₂²×C₄×C₁₇	—	4	1	no	—
361	C₂²×C₄×C₁₇	—	4	1	no	—
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	C₂×C₂²⋊D₁₇	—	2	2	no	—
377	C₂×C₂²⋊D₁₇	—	2	2	no	—
378	C₂×C₂²⋊D₁₇	—	2	2	no	—
379	C₂²×Dic₁₇	—	2	2	no	—
380	C₂²×Dic₁₇	—	2	2	no	—
381	C₂²×Dic₁₇	—	2	2	no	—
382	C₂²×Dic₁₇	—	2	2	no	—
383	C₂²×Dic₁₇	—	2	2	no	—
384	C₂²×Dic₁₇	—	2	2	no	—
385	C₂²×Dic₁₇	—	2	2	no	—
386	C₂²×Dic₁₇	—	2	2	no	—
387	C₂²×Dic₁₇	—	4	1	no	—
388	C₂²×Dic₁₇	—	4	1	no	—
389	C₂²×Dic₁₇	—	4	1	no	—
390	C₂²×Dic₁₇	#41	1	4	yes	—
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	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₁₇	—	4	1	no	—
407	C₂×C₄×D₁₇	—	4	1	no	—
408	C₂×C₄×D₁₇	—	4	1	no	—
409	C₂×Dic₃₄	—	2	2	no	—
410	C₂×Dic₃₄	—	4	1	no	—
411	C₂×Dic₃₄	—	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	C₄⋊C₄×C₁₇	—	4	1	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	C₂²⋊C₄×C₁₇	—	2	2	no	—
425	C₂²⋊C₄×C₁₇	—	2	2	no	—
426	C₂²⋊C₄×C₁₇	—	2	2	no	—
427	C₂²⋊C₄×C₁₇	—	2	2	no	—
428	C₂²⋊Dic₁₇	—	2	2	no	—
429	C₂²⋊Dic₁₇	—	2	2	no	—
430	C₂²⋊Dic₁₇	—	2	2	no	—
431	#63227	—	2	2	no	—
432	#63227	—	2	2	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	C₄⋊Dic₁₇	—	2	2	no	—
445	C₄⋊Dic₁₇	—	2	2	no	—
446	C₄⋊Dic₁₇	—	2	2	no	—
447	C₄⋊Dic₁₇	—	2	2	no	—
448	C₄⋊Dic₁₇	—	2	2	no	—
449	C₄⋊Dic₁₇	—	2	2	no	—
450	C₄⋊Dic₁₇	—	4	1	no	—
451	C₄⋊Dic₁₇	—	4	1	no	—
452	C₄⋊Dic₁₇	—	4	1	no	—
453	C₄⋊Dic₁₇	—	4	1	no	—
454	C₄⋊Dic₁₇	—	4	1	no	—
455	#63225	—	2	2	no	—
456	#63225	—	2	2	no	—
457	#63225	—	2	2	no	—
458	#63225	—	2	2	no	—
459	#63225	—	4	1	no	—
460	#63225	—	4	1	no	—
461	#63225	—	4	1	no	—
462	#63225	—	4	1	no	—
463	#63225	—	4	1	no	—
464	#63225	—	4	1	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	C₄×Dic₁₇	—	2	2	no	—
479	C₄×Dic₁₇	—	2	2	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	C₄×Dic₁₇	—	4	1	no	—
485	C₄×Dic₁₇	—	4	1	no	—
486	C₄×Dic₁₇	—	4	1	no	—
487	C₄×Dic₁₇	—	4	1	no	—
488	C₄×Dic₁₇	—	4	1	no	—
489	#36998	—	17	1	no	maximal, Sylow
490	C₂³×C₁₇	—	2	1	no	—
491	C₂³×C₁₇	—	2	1	no	—
492	C₂³×C₁₇	—	2	1	no	—
493	C₂³×C₁₇	—	2	1	no	—
494	C₂³×C₁₇	C₂×#41	1	2	yes	—
495	C₂³×C₁₇	H(5,𝔽₂)	1	2	yes	—
496	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
497	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
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	C₂×C₄×C₁₇	—	2	1	no	—
506	C₂×C₄×C₁₇	—	2	1	no	—
507	C₂×C₄×C₁₇	—	2	1	no	—
508	C₂×C₄×C₁₇	—	2	1	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	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	—	4	4	no	—
548	C₂×C₄×C₁₇	—	4	4	no	—
549	C₂×C₄×C₁₇	—	8	2	no	—
550	C₂²⋊D₁₇	—	4	4	no	—
551	C₂×Dic₁₇	—	2	8	no	—
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	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	—	4	4	no	—
595	C₂×Dic₁₇	—	4	4	no	—
596	C₂×Dic₁₇	—	8	2	no	—
597	C₂×Dic₁₇	C₂×#41	1	2	yes	—
598	C₂×Dic₁₇	C₂×#41	1	2	yes	—
599	C₂×Dic₁₇	2₋¹⁺⁴	1	2	yes	—
600	C₄×D₁₇	—	8	2	no	—
601	Dic₃₄	—	8	2	no	—
602	#2855	—	17	1	no	—
603	#2853	—	17	1	no	—
604	#2810	—	17	1	no	—
605	#2809	—	17	1	no	—
606	#2802	—	17	1	no	—
607	#2798	—	17	1	no	—
608	#2794	—	17	1	no	—
609	#2793	—	17	1	no	—
610	#2791	—	17	1	no	—
611	#2790	—	17	1	no	—
612	#2789	—	17	1	no	—
613	#2787	—	17	1	no	—
614	#2783	—	17	1	no	—
615	#2776	—	17	1	no	—
616	#2775	—	17	1	no	—
617	#2771	—	17	1	no	—
618	#2767	—	17	1	no	—
619	#2744	—	17	1	no	—
620	#2646	D₁₇	1	1	yes	characteristic, complemented
621	#2643	—	17	1	no	—
622	#2505	—	17	1	no	—
623	#2498	—	17	1	no	—
624	#2493	—	17	1	no	—
625	#2484	—	17	1	no	—
626	#2450	—	17	1	no	—
627	#2438	—	17	1	no	—
628	#2419	—	17	1	no	—
629	#2413	—	17	1	no	—
630	#2322	—	17	1	no	—
631	#2317	—	17	1	no	—
632	C₂×#387	—	17	1	no	—
633	C₂²×C₁₇	—	2	2	no	—
634	C₂²×C₁₇	—	2	2	no	—
635	C₂²×C₁₇	—	2	2	no	—
636	C₂²×C₁₇	—	2	2	no	—
637	C₂²×C₁₇	—	2	2	no	—
638	C₂²×C₁₇	—	2	2	no	—
639	C₂²×C₁₇	#539	1	4	yes	—
640	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
641	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
642	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
643	C₂²×C₁₇	C₂×2₋¹⁺⁴	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	C₂×D₁₇	—	4	1	no	—
648	C₂×D₁₇	—	4	1	no	—
649	C₂×D₁₇	—	4	1	no	—
650	C₂×D₁₇	—	4	1	no	—
651	C₂×D₁₇	—	4	1	no	—
652	C₂×D₁₇	—	4	1	no	—
653	C₂×D₁₇	—	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	—	4	1	no	—
664	C₄×C₁₇	—	4	1	no	—
665	C₄×C₁₇	—	4	1	no	—
666	C₄×C₁₇	—	4	1	no	—
667	C₄×C₁₇	—	4	1	no	—
668	Dic₁₇	—	2	2	no	—
669	Dic₁₇	—	2	2	no	—
670	Dic₁₇	—	2	2	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	—	4	1	no	—
680	Dic₁₇	—	4	1	no	—
681	Dic₁₇	—	4	1	no	—
682	Dic₁₇	—	4	1	no	—
683	C₂×#123	—	17	1	no	—
684	C₂×#123	—	17	1	no	—
685	C₂×C₂²⋊Q₈	—	17	1	no	—
686	C₂×C₄×D₄	—	17	1	no	—
687	C₂×#117	—	17	1	no	—
688	C₂×#117	—	17	1	no	—
689	C₂²×C₄⋊C₄	—	17	1	no	—
690	C₂²×C₄⋊C₄	—	17	1	no	—
691	C₂²×C₄²	—	17	1	no	—
692	#401	—	17	1	no	—
693	#401	—	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	—	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	C₂×D₁₇	1	1	yes	characteristic
710	#400	C₂×D₁₇	1	1	yes	characteristic
711	#400	C₂×D₁₇	1	1	yes	characteristic
712	#400	C₂×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
721	#398	—	17	1	no	—
722	#398	—	17	1	no	—
723	#398	—	17	1	no	—
724	#398	C₂×D₁₇	1	1	yes	characteristic
725	#398	C₂×D₁₇	1	1	yes	characteristic
726	#398	C₂×D₁₇	1	1	yes	characteristic
727	#398	C₂×D₁₇	1	1	yes	characteristic
728	#397	—	17	1	no	—
729	#397	—	17	1	no	—
730	#397	—	17	1	no	—
731	#397	—	17	1	no	—
732	#397	—	17	1	no	—
733	#397	—	17	1	no	—
734	#396	—	17	1	no	—
735	#396	—	17	1	no	—
736	#396	—	17	1	no	—
737	#396	—	17	1	no	—
738	#395	—	17	1	no	—
739	#393	—	17	1	no	—
740	#391	—	17	1	no	—
741	#391	—	17	1	no	—
742	#391	—	17	1	no	—
743	#391	—	17	1	no	—
744	#389	—	17	1	no	—
745	#389	—	17	1	no	—
746	#389	—	17	1	no	—
747	#389	—	17	1	no	—
748	#389	—	17	1	no	—
749	#389	—	17	1	no	—
750	#389	—	17	1	no	—
751	#389	—	17	1	no	—
752	#389	—	17	1	no	—
753	#389	—	17	1	no	—
754	#389	—	17	1	no	—
755	#389	—	17	1	no	—
756	#388	—	17	1	no	—
757	#388	—	17	1	no	—
758	#388	—	17	1	no	—
759	#388	—	17	1	no	—
760	#388	—	17	1	no	—
761	#388	—	17	1	no	—
762	#388	—	17	1	no	—
763	#388	—	17	1	no	—
764	#388	—	17	1	no	—
765	#388	—	17	1	no	—
766	#387	—	17	1	no	—
767	#387	—	17	1	no	—
768	#387	—	17	1	no	—
769	#387	—	17	1	no	—
770	#387	—	17	1	no	—
771	#387	—	17	1	no	—
772	#387	—	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	#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	#386	—	17	1	no	—
801	#386	—	17	1	no	—
802	#386	—	17	1	no	—
803	#386	—	17	1	no	—
804	#385	—	17	1	no	—
805	#385	—	17	1	no	—
806	#385	—	17	1	no	—
807	#385	—	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	C₂×D₁₇	1	1	yes	characteristic
815	#385	C₂×D₁₇	1	1	yes	characteristic
816	#385	C₂×D₁₇	1	1	yes	characteristic
817	#385	C₂×D₁₇	1	1	yes	characteristic
818	#384	—	17	1	no	—
819	#384	—	17	1	no	—
820	#383	—	17	1	no	—
821	#382	—	17	1	no	—
822	#382	—	17	1	no	—
823	#382	—	17	1	no	—
824	#381	—	17	1	no	—
825	#381	—	17	1	no	—
826	#381	—	17	1	no	—
827	#381	—	17	1	no	—
828	#381	—	17	1	no	—
829	#380	—	17	1	no	—
830	#380	—	17	1	no	—
831	#380	C₂×D₁₇	1	1	yes	characteristic
832	#380	C₂×D₁₇	1	1	yes	characteristic
833	C₄×C₂²⋊C₄	—	17	1	no	—
834	C₂×#95	—	17	1	no	—
835	C₂×#95	—	17	1	no	—
836	C₂×#95	—	17	1	no	—
837	C₂×#95	C₂×D₁₇	1	1	yes	characteristic
838	C₂×C₁₇	—	2	4	no	—
839	C₂×C₁₇	C₂×#539	1	1	yes	characteristic
840	C₂×C₁₇	#3493	1	1	yes	characteristic
841	C₂×C₁₇	#3507	1	1	yes	characteristic
842	C₂×C₁₇	#3533	1	1	yes	characteristic
843	C₂×C₁₇	#3535	1	1	yes	characteristic
844	C₂×C₁₇	#3563	1	1	yes	characteristic
845	C₂×C₁₇	#3564	1	1	yes	characteristic
846	D₁₇	—	8	1	no	—
847	C₂²×Q₈	—	17	1	no	—
848	C₂²×D₄	—	17	1	no	—
849	C₂³×C₄	—	17	1	no	—
850	C₂³×C₄	—	17	1	no	—
851	C₂³×C₄	—	17	1	no	—
852	C₂³×C₄	—	17	1	no	—
853	C₂³×C₄	—	17	1	no	—
854	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
855	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
856	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
857	#123	—	34	4	no	—
858	#123	—	68	2	no	—
859	C₂²⋊Q₈	—	68	2	no	—
860	C₄×D₄	—	68	2	no	—
861	#117	—	34	4	no	—
862	#117	—	68	2	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	—	34	4	no	—
898	C₂×C₄⋊C₄	—	68	2	no	—
899	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	17	1	no	—
912	C₂×C₂²⋊C₄	—	17	1	no	—
913	C₂×C₂²⋊C₄	—	17	1	no	—
914	C₂×C₂²⋊C₄	—	17	1	no	—
915	C₂×C₂²⋊C₄	—	17	1	no	—
916	C₂×C₂²⋊C₄	—	17	1	no	—
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	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×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	—	68	2	no	—
943	#95	—	17	1	no	—
944	#95	—	17	1	no	—
945	#95	—	17	1	no	—
946	#95	—	17	1	no	—
947	#95	—	17	1	no	—
948	#95	—	17	1	no	—
949	#95	—	17	1	no	—
950	#95	—	17	1	no	—
951	#95	—	17	1	no	—
952	#95	—	17	1	no	—
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	C₂²×D₁₇	1	1	yes	characteristic
996	#95	C₂²×D₁₇	1	1	yes	characteristic
997	#95	C₂²×D₁₇	1	1	yes	characteristic
998	#95	C₂²×D₁₇	1	1	yes	characteristic
999	#95	C₂²×D₁₇	1	1	yes	characteristic
1000	#95	C₂²×D₁₇	1	1	yes	characteristic
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	#36998	1	1	yes	characteristic, complemented, Sylow
1012	C₂⁴	—	17	1	no	—
1013	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1014	C₂×Q₈	—	34	2	no	—
1015	C₂×Q₈	—	68	1	no	—
1016	C₂×Q₈	—	68	1	no	—
1017	C₂×D₄	—	34	2	no	—
1018	C₂×D₄	—	34	2	no	—
1019	C₂×D₄	—	34	2	no	—
1020	C₂²×C₄	—	2	2	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	4	1	no	—
1025	C₂²×C₄	—	4	1	no	—
1026	C₂²×C₄	—	4	1	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	17	4	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	1	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	—	34	2	no	—
1048	C₂²×C₄	—	34	2	no	—
1049	C₂²×C₄	—	34	2	no	—
1050	C₂²×C₄	—	34	2	no	—
1051	C₂²×C₄	—	34	2	no	—
1052	C₂²×C₄	—	34	2	no	—
1053	C₂²×C₄	—	68	1	no	—
1054	C₂²×C₄	—	68	1	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	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	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
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	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	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	—	68	1	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	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	34	2	no	—
1124	C₂²⋊C₄	—	34	2	no	—
1125	C₂²⋊C₄	—	34	2	no	—
1126	C₂²⋊C₄	—	34	2	no	—
1127	C₂²⋊C₄	—	34	2	no	—
1128	C₂²⋊C₄	—	34	2	no	—
1129	C₂²⋊C₄	—	68	1	no	—
1130	C₂²⋊C₄	—	68	1	no	—
1131	C₂²⋊C₄	—	68	1	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	C₄²	—	34	2	no	—
1140	C₄²	—	34	2	no	—
1141	C₄²	—	68	1	no	—
1142	C₄²	—	68	1	no	—
1143	C₄²	—	68	1	no	—
1144	C₄²	—	68	1	no	—
1145	C₄²	—	68	1	no	—
1146	C₄²	—	68	1	no	—
1147	C₄²	—	68	1	no	—
1148	C₄²	—	68	1	no	—
1149	C₄²	—	68	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	34	1	no	—
1155	C₂³	—	34	1	no	—
1156	C₂³	—	34	1	no	—
1157	C₂³	—	34	1	no	—
1158	C₂³	—	34	1	no	—
1159	C₂³	—	34	1	no	—
1160	C₂³	—	34	1	no	—
1161	C₂³	#10587694	1	2	yes	—
1162	C₂³	#41×D₁₇	1	2	yes	—
1163	C₂³	#10587696	1	2	yes	—
1164	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1165	Q₈	—	136	2	no	—
1166	D₄	—	68	4	no	—
1167	C₂×C₄	—	2	1	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	1	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	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	4	4	no	—
1210	C₂×C₄	—	4	4	no	—
1211	C₂×C₄	—	8	2	no	—
1212	C₂×C₄	—	17	2	no	—
1213	C₂×C₄	—	17	2	no	—
1214	C₂×C₄	—	17	2	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	8	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	—	34	1	no	—
1255	C₂×C₄	—	34	1	no	—
1256	C₂×C₄	—	34	1	no	—
1257	C₂×C₄	—	34	1	no	—
1258	C₂×C₄	—	68	4	no	—
1259	C₂×C₄	—	68	4	no	—
1260	C₂×C₄	—	136	2	no	—
1261	C₂×C₄	—	136	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	68	1	no	—
1269	C₂²	—	68	1	no	—
1270	C₂²	—	68	1	no	—
1271	C₂²	—	68	1	no	—
1272	C₂²	—	68	1	no	—
1273	C₂²	—	68	1	no	—
1274	C₂²	—	68	1	no	—
1275	C₂²	#11763407	1	4	yes	—
1276	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1277	C₂²	C₂×#10587696	1	1	yes	characteristic
1278	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1279	C₂²	C₂×#10587694	1	1	yes	characteristic
1280	C₂²	#11763644	1	1	yes	characteristic
1281	C₂²	#11763644	1	1	yes	characteristic
1282	C₂²	#11763644	1	1	yes	characteristic
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	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	34	2	no	—
1298	C₄	—	34	2	no	—
1299	C₄	—	34	2	no	—
1300	C₄	—	68	1	no	—
1301	C₄	—	68	1	no	—
1302	C₄	—	68	1	no	—
1303	C₄	—	68	1	no	—
1304	C₄	—	68	1	no	—
1305	C₄	—	68	1	no	—
1306	C₄	—	68	1	no	—
1307	C₄	—	68	1	no	—
1308	C₄	—	68	1	no	—
1309	C₄	—	68	1	no	—
1310	C₄	—	68	1	no	—
1311	C₄	—	68	1	no	—
1312	C₂	—	2	4	no	—
1313	C₂	—	136	1	no	—
1314	C₂	C₂×#11763407	1	1	yes	characteristic
1315	C₂	#14542499	1	1	yes	characteristic
1316	C₂	#14542644	1	1	yes	characteristic
1317	C₂	#14542952	1	1	yes	characteristic
1318	C₂	#14542991	1	1	yes	characteristic
1319	C₂	#14543383	1	1	yes	characteristic
1320	C₂	#14543398	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2646	C₂
prime radical	C₂²×C₂²⋊D₁₇	C₂³
hypercenter	#2646	D₁₇
hypocenter	C₁₇	#36998
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2646

Complements

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

N	H ≅ G/N	type
1. #14537120	C₂	semidirect
3. #14536773	C₂	semidirect
4. #14536771	C₂	semidirect
5. #14536695	C₂	semidirect
6. #14536655	C₂	semidirect
7. #14536606	C₂	semidirect
8. #14536586	C₂	semidirect
9. #14536562	C₂	semidirect
10. #14536553	C₂	semidirect
11. #14536543	C₂	semidirect
12. #14536517	C₂	semidirect
13. #14536478	C₂	semidirect
14. #14536374	C₂	semidirect
15. #14536364	C₂	semidirect
16. #14536296	C₂	semidirect
17. #14536251	C₂	semidirect
18. #14535945	C₂	semidirect
20. #14533283	C₂	semidirect
22. #14533175	C₂	semidirect
23. #14533070	C₂	semidirect
25. #14532466	C₂	semidirect
29. #14531403	C₂	semidirect
30. C₂×#11762694	C₂	semidirect
31. C₁₇×#2646	C₂	semidirect
620. #2646	D₁₇	semidirect
1011. C₁₇	#36998	semidirect

Maximal subgroups

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

subgroup	index
#14537120	2
#14537109	2
#14536773	2
#14536771	2
#14536695	2
#14536655	2
#14536606	2
#14536586	2
#14536562	2
#14536553	2
#14536543	2
#14536517	2
#14536478	2
#14536374	2
#14536364	2
#14536296	2
#14536251	2
#14535945	2
#14534737	2
#14533283	2
#14533224	2
#14533175	2
#14533070	2
#14532606	2
#14532466	2
#14532267	2
#14532189	2
#14531452	2
#14531403	2
C₂×#11762694	2
C₁₇×#2646	2
#36998	17