Subgroups — #17199970

Order 4352.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11763533	C₂	1	1	yes	maximal, characteristic
2	#14531974	C₂	1	1	yes	maximal, characteristic, complemented
3	#14531956	C₂	1	1	yes	maximal, characteristic
4	#14531948	C₂	1	1	yes	maximal, characteristic, complemented
5	#14531910	C₂	1	1	yes	maximal, characteristic, complemented
6	#14531903	C₂	1	1	yes	maximal, characteristic, complemented
7	#14531897	C₂	1	1	yes	maximal, characteristic, complemented
8	#14531895	C₂	1	1	yes	maximal, characteristic
9	#14531866	C₂	1	1	yes	maximal, characteristic, complemented
10	#14531748	C₂	1	1	yes	maximal, characteristic, complemented
11	#14531744	C₂	1	1	yes	maximal, characteristic, complemented
12	#14531740	C₂	1	1	yes	maximal, characteristic, complemented
13	#14531717	C₂	1	1	yes	maximal, characteristic
14	#14531643	C₂	1	1	yes	maximal, characteristic, complemented
15	#14531639	C₂	1	1	yes	maximal, characteristic, complemented
16	#14531596	C₂	1	1	yes	maximal, characteristic
17	#14531596	C₂	1	1	yes	maximal, characteristic
18	#14531565	C₂	1	1	yes	maximal, characteristic, complemented
19	#14531564	C₂	1	1	yes	maximal, characteristic, complemented
20	#14531562	C₂	1	1	yes	maximal, characteristic, complemented
21	#14531536	C₂	1	1	yes	maximal, characteristic, complemented
22	#14531533	C₂	1	1	yes	maximal, characteristic, complemented
23	#14531513	C₂	1	1	yes	maximal, characteristic, complemented
24	#14531434	C₂	1	1	yes	maximal, characteristic, complemented
25	#14531429	C₂	1	1	yes	maximal, characteristic, complemented
26	#14531415	C₂	1	1	yes	maximal, characteristic
27	#14531390	C₂	1	1	yes	maximal, characteristic, complemented
28	#14531334	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531276	C₂	1	1	yes	maximal, characteristic, complemented
30	#14531259	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2381	C₂	1	1	yes	maximal, characteristic, complemented
32	#11763533	C₄	1	16	yes	complemented
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×#10587584	C₂²	1	1	yes	characteristic
37	C₂×#10587633	C₂²	1	1	yes	characteristic
38	C₂×#10587633	C₂²	1	1	yes	characteristic
39	C₂×#10587583	C₂²	1	1	yes	characteristic
40	C₂×#10587583	C₂²	1	1	yes	characteristic
41	C₂×Q₈×Dic₁₇	C₂²	1	1	yes	characteristic
42	C₂×Q₈×Dic₁₇	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₆₈	C₂²	1	1	yes	characteristic
45	C₂×#10587578	C₂²	1	1	yes	characteristic
46	C₂×#10587578	C₂²	1	1	yes	characteristic
47	#11762716	C₂²	1	1	yes	characteristic
48	#11762716	C₂²	1	1	yes	characteristic
49	#11762716	C₂²	1	1	yes	characteristic
50	#11762716	C₂²	1	1	yes	characteristic
51	#11762713	C₂²	1	1	yes	characteristic
52	#11762713	C₂²	1	1	yes	characteristic
53	#11762713	C₂²	1	1	yes	characteristic
54	#11762713	C₂²	1	1	yes	characteristic
55	#11762708	C₂²	1	1	yes	characteristic
56	#11762708	C₂²	1	1	yes	characteristic
57	#11762707	C₂²	1	1	yes	characteristic
58	#11762707	C₂²	1	1	yes	characteristic
59	#11762706	C₂²	1	1	yes	characteristic
60	#11762706	C₂²	1	1	yes	characteristic
61	#11762705	C₂²	1	1	yes	characteristic
62	#11762705	C₂²	1	1	yes	characteristic
63	#11762701	C₂²	1	1	yes	characteristic
64	#11762701	C₂²	1	1	yes	characteristic
65	#11762701	C₂²	1	1	yes	characteristic
66	#11762701	C₂²	1	1	yes	characteristic
67	#11762701	C₂²	1	1	yes	characteristic
68	#11762701	C₂²	1	1	yes	characteristic
69	#11762700	C₂²	1	1	yes	characteristic
70	#11762700	C₂²	1	1	yes	characteristic
71	#11762700	C₂²	1	1	yes	characteristic
72	#11762700	C₂²	1	1	yes	characteristic
73	#11762699	C₂²	1	1	yes	characteristic
74	#11762699	C₂²	1	1	yes	characteristic
75	#11762699	C₂²	1	1	yes	characteristic
76	#11762699	C₂²	1	1	yes	characteristic
77	#11762698	C₂²	1	1	yes	characteristic
78	#11762698	C₂²	1	1	yes	characteristic
79	#11762698	C₂²	1	1	yes	characteristic
80	#11762698	C₂²	1	1	yes	characteristic
81	#11762698	C₂²	1	1	yes	characteristic
82	#11762698	C₂²	1	1	yes	characteristic
83	#11762696	C₂²	1	1	yes	characteristic
84	#11762696	C₂²	1	1	yes	characteristic
85	#11762695	C₂²	1	1	yes	characteristic
86	#11762695	C₂²	1	1	yes	characteristic
87	#11762695	C₂²	1	1	yes	characteristic
88	#11762695	C₂²	1	1	yes	characteristic
89	#11762694	C₂²	1	1	yes	characteristic
90	#11762694	C₂²	1	1	yes	characteristic
91	#11762694	C₂²	1	1	yes	characteristic
92	#11762694	C₂²	1	1	yes	characteristic
93	#11762694	C₂²	1	1	yes	characteristic
94	#11762694	C₂²	1	1	yes	characteristic
95	#11762694	C₂²	1	1	yes	characteristic
96	#11762694	C₂²	1	1	yes	characteristic
97	#11762692	C₂²	1	1	yes	characteristic
98	#11762692	C₂²	1	1	yes	characteristic
99	#11762692	C₂²	1	1	yes	characteristic
100	#11762692	C₂²	1	1	yes	characteristic
101	#11762692	C₂²	1	1	yes	characteristic
102	#11762692	C₂²	1	1	yes	characteristic
103	#11762692	C₂²	1	1	yes	characteristic
104	#11762692	C₂²	1	1	yes	characteristic
105	#11762691	C₂²	1	1	yes	characteristic
106	#11762691	C₂²	1	1	yes	characteristic
107	#11762687	C₂²	1	1	yes	characteristic
108	#11762687	C₂²	1	1	yes	characteristic
109	#11762687	C₂²	1	1	yes	characteristic
110	#11762687	C₂²	1	1	yes	characteristic
111	#11762683	C₂²	1	1	yes	characteristic
112	#11762683	C₂²	1	1	yes	characteristic
113	#11762683	C₂²	1	1	yes	characteristic
114	#11762683	C₂²	1	1	yes	characteristic
115	#11762683	C₂²	1	1	yes	characteristic
116	#11762683	C₂²	1	1	yes	characteristic
117	#11762680	C₂²	1	1	yes	characteristic
118	#11762680	C₂²	1	1	yes	characteristic
119	#11762680	C₂²	1	1	yes	characteristic
120	#11762680	C₂²	1	1	yes	characteristic
121	#11762678	C₂²	1	1	yes	characteristic
122	#11762676	C₂²	1	1	yes	characteristic
123	#11762676	C₂²	1	1	yes	characteristic
124	#11762676	C₂²	1	1	yes	characteristic
125	#11762676	C₂²	1	1	yes	characteristic
126	#11762675	C₂²	1	1	yes	characteristic
127	#11762674	C₂²	1	1	yes	characteristic
128	#11762673	C₂²	1	1	yes	characteristic
129	#11762673	C₂²	1	1	yes	characteristic
130	#11762673	C₂²	1	1	yes	characteristic
131	#11762673	C₂²	1	1	yes	characteristic
132	#11762671	C₂²	1	1	yes	characteristic
133	#11762671	C₂²	1	1	yes	characteristic
134	#11762668	C₂²	1	1	yes	characteristic
135	#11762668	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
142	C₄×#63225	C₂²	1	1	yes	characteristic
143	C₄×#63225	C₂²	1	1	yes	characteristic
144	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
145	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
146	#11762660	C₂²	1	1	yes	characteristic
147	#11762660	C₂²	1	1	yes	characteristic
148	#11762660	C₂²	1	1	yes	characteristic
149	#11762660	C₂²	1	1	yes	characteristic
150	#11762660	C₂²	1	1	yes	characteristic
151	#11762660	C₂²	1	1	yes	characteristic
152	C₄×#63227	C₂²	1	1	yes	characteristic
153	C₄×#63227	C₂²	1	1	yes	characteristic
154	C₄×#63227	C₂²	1	1	yes	characteristic
155	C₄×#63227	C₂²	1	1	yes	characteristic
156	#11762656	C₂²	1	1	yes	characteristic
157	#11762656	C₂²	1	1	yes	characteristic
158	#11762656	C₂²	1	1	yes	characteristic
159	#11762656	C₂²	1	1	yes	characteristic
160	#11762656	C₂²	1	1	yes	characteristic
161	#11762656	C₂²	1	1	yes	characteristic
162	#11762656	C₂²	1	1	yes	characteristic
163	#11762656	C₂²	1	1	yes	characteristic
164	#11762655	C₂²	1	1	yes	characteristic
165	#11762655	C₂²	1	1	yes	characteristic
166	#11762654	C₂²	1	1	yes	characteristic
167	#11762654	C₂²	1	1	yes	characteristic
168	#11762654	C₂²	1	1	yes	characteristic
169	#11762654	C₂²	1	1	yes	characteristic
170	#95×D₁₇	C₂²	1	1	yes	characteristic
171	#95×D₁₇	C₂²	1	1	yes	characteristic
172	C₄²×Dic₁₇	C₂²	1	1	yes	characteristic
173	C₂×C₁₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
174	C₁₇×#391	C₂²	1	1	yes	characteristic
175	C₁₇×#391	C₂²	1	1	yes	characteristic
176	C₁₇×#391	C₂²	1	1	yes	characteristic
177	C₁₇×#391	C₂²	1	1	yes	characteristic
178	C₁₇×#387	C₂²	1	1	yes	characteristic
179	C₁₇×#387	C₂²	1	1	yes	characteristic
180	C₁₇×#387	C₂²	1	1	yes	characteristic
181	C₁₇×#387	C₂²	1	1	yes	characteristic
182	C₁₇×#387	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×#383	C₂²	1	1	yes	characteristic
187	C₁₇×#383	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
190	C₂²×D₆₈	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×C₄×D₁₇	C₂³	1	1	yes	characteristic
197	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
198	C₁₇×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
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×C₄²×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
212	#10587633	C₂×C₄	1	8	yes	—
213	#10587633	C₂×C₄	1	8	yes	—
214	Q₈×Dic₁₇	C₂×C₄	1	8	yes	complemented
215	Q₈×Dic₁₇	C₂×C₄	1	8	yes	complemented
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×#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×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×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×#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×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	#10587584	C₂×C₄	1	8	yes	complemented
289	#10587584	C₂×C₄	1	8	yes	complemented
290	#10587584	C₂×C₄	1	8	yes	complemented
291	#10587584	C₂×C₄	1	8	yes	complemented
292	#10587583	C₂×C₄	1	8	yes	complemented
293	#10587583	C₂×C₄	1	8	yes	complemented
294	#10587578	C₂×C₄	1	8	yes	complemented
295	#10587578	C₂×C₄	1	8	yes	complemented
296	C₄×D₆₈	C₂×C₄	1	8	yes	—
297	C₄×Dic₃₄	C₂×C₄	1	8	yes	complemented
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	C₁₇×#95	C₂³	1	1	yes	characteristic
314	C₁₇×#95	C₂³	1	1	yes	characteristic
315	C₁₇×#95	C₂³	1	1	yes	characteristic
316	C₁₇×#95	C₂³	1	1	yes	characteristic
317	C₁₇×#95	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	#10587502	C₂³	1	1	yes	characteristic
358	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₇	—	4	1	no	—
361	C₂×Q₈×C₁₇	—	4	1	no	—
362	C₂×Q₈×C₁₇	—	4	1	no	—
363	C₂×Q₈×C₁₇	—	4	1	no	—
364	C₂×Q₈×C₁₇	C₂²×C₄	1	4	yes	—
365	C₂×Q₈×C₁₇	C₂²×C₄	1	4	yes	—
366	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
376	C₂²×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×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	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
395	C₂×D₆₈	—	4	1	no	—
396	C₂×D₆₈	—	4	1	no	—
397	C₂×D₆₈	C₂²×C₄	1	4	yes	—
398	C₂×C₄×D₁₇	—	2	2	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	—	4	1	no	—
406	C₂×C₄×D₁₇	—	4	1	no	—
407	C₂×C₄×D₁₇	—	4	1	no	—
408	C₂×C₄×D₁₇	—	4	1	no	—
409	C₂×C₄×D₁₇	—	4	1	no	—
410	C₂×C₄×D₁₇	—	4	1	no	—
411	C₂×C₄×D₁₇	—	4	1	no	—
412	C₂×C₄×D₁₇	—	4	1	no	—
413	C₂×C₄×D₁₇	—	4	1	no	—
414	C₂×C₄×D₁₇	C₂²×C₄	1	4	yes	—
415	C₂×C₄×D₁₇	C₂²×C₄	1	4	yes	—
416	C₂×Dic₃₄	—	4	1	no	—
417	C₂×Dic₃₄	—	4	1	no	—
418	C₂×Dic₃₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
424	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
425	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
426	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
427	C₄²×C₁₇	—	4	1	no	—
428	C₄²×C₁₇	—	4	1	no	—
429	C₄²×C₁₇	—	4	1	no	—
430	C₄²×C₁₇	—	4	1	no	—
431	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
432	#63227	—	2	2	no	—
433	#63227	—	4	1	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	C₂²×C₄	1	4	yes	—
445	#63227	C₂²×C₄	1	4	yes	—
446	#63227	C₂²×C₄	1	4	yes	—
447	#63227	C₂²×C₄	1	4	yes	—
448	#63227	C₂²×C₄	1	4	yes	—
449	#63227	C₂²×C₄	1	4	yes	—
450	#63227	C₂²×C₄	1	4	yes	—
451	#63227	C₂²×C₄	1	4	yes	—
452	#63227	C₂²×C₄	1	4	yes	—
453	#63227	C₂²×C₄	1	4	yes	—
454	C₄⋊Dic₁₇	—	4	1	no	—
455	C₄⋊Dic₁₇	—	4	1	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	C₂²×C₄	1	4	yes	—
461	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
462	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
463	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
464	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
465	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
466	#63225	—	2	2	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	C₂²×C₄	1	4	yes	—
479	#63225	C₂²×C₄	1	4	yes	—
480	C₄×Dic₁₇	—	2	2	no	—
481	C₄×Dic₁₇	—	2	2	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	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	—	4	1	no	—
495	C₄×Dic₁₇	—	4	1	no	—
496	C₄×Dic₁₇	—	4	1	no	—
497	C₄×Dic₁₇	—	4	1	no	—
498	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
499	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
500	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
501	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
502	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
503	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
504	#34505	—	17	1	no	maximal, Sylow
505	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
506	C₂²×D₁₇	—	2	1	no	—
507	C₂²×D₁₇	—	2	1	no	—
508	C₂²×D₁₇	—	2	1	no	—
509	C₂²×D₁₇	—	2	1	no	—
510	C₂²×D₁₇	—	2	1	no	—
511	C₂²×D₁₇	—	2	1	no	—
512	C₂²×D₁₇	—	2	1	no	—
513	C₂²×D₁₇	—	2	1	no	—
514	C₂²×D₁₇	—	2	1	no	—
515	C₂²×D₁₇	—	2	1	no	—
516	C₂²×D₁₇	—	2	1	no	—
517	C₂²×D₁₇	—	2	1	no	—
518	C₂²×D₁₇	C₂³×C₄	1	2	yes	—
519	C₂²×D₁₇	C₂³×C₄	1	2	yes	—
520	Q₈×C₁₇	—	4	4	no	—
521	Q₈×C₁₇	—	4	4	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	—	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	C₂³×C₄	1	2	yes	—
561	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
562	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
563	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
564	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
565	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
566	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
599	C₂×Dic₁₇	—	2	1	no	—
600	C₂×Dic₁₇	—	2	1	no	—
601	C₂×Dic₁₇	—	2	1	no	—
602	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
603	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
604	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
605	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
606	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
607	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
608	C₂×Dic₁₇	2₋¹⁺⁴	1	2	yes	—
609	D₆₈	—	4	4	no	—
610	C₄×D₁₇	—	4	4	no	—
611	C₄×D₁₇	—	4	4	no	—
612	C₄×D₁₇	—	8	2	no	—
613	C₄×D₁₇	—	8	2	no	—
614	C₄×D₁₇	—	8	2	no	—
615	C₄×D₁₇	—	8	2	no	—
616	Dic₃₄	—	4	4	no	—
617	C₂×#556	—	17	1	no	—
618	#2383	—	17	1	no	—
619	#2381	D₁₇	1	1	yes	characteristic, complemented
620	#2379	—	17	1	no	—
621	#2378	—	17	1	no	—
622	#2373	—	17	1	no	—
623	#2373	—	17	1	no	—
624	#2373	—	17	1	no	—
625	#2372	—	17	1	no	—
626	#2368	—	17	1	no	—
627	#2356	—	17	1	no	—
628	#2356	—	17	1	no	—
629	#2355	—	17	1	no	—
630	#2353	—	17	1	no	—
631	#2343	—	17	1	no	—
632	#2343	—	17	1	no	—
633	#2337	—	17	1	no	—
634	#2337	—	17	1	no	—
635	#2334	—	17	1	no	—
636	#2334	—	17	1	no	—
637	#2334	—	17	1	no	—
638	#2332	—	17	1	no	—
639	#2331	—	17	1	no	—
640	#2329	—	17	1	no	—
641	#2320	—	17	1	no	—
642	#2320	—	17	1	no	—
643	#2318	—	17	1	no	—
644	#2314	—	17	1	no	—
645	C₄×#126	—	17	1	no	—
646	#2298	—	17	1	no	—
647	#2295	—	17	1	no	—
648	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
649	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
650	C₂²×C₁₇	#585	1	1	yes	characteristic
651	C₂²×C₁₇	#585	1	1	yes	characteristic
652	C₂²×C₁₇	#585	1	1	yes	characteristic
653	C₂²×C₁₇	#585	1	1	yes	characteristic
654	C₂²×C₁₇	#585	1	1	yes	characteristic
655	C₂×D₁₇	—	2	2	no	—
656	C₂×D₁₇	—	2	2	no	—
657	C₂×D₁₇	—	2	2	no	—
658	C₂×D₁₇	—	2	2	no	—
659	C₂×D₁₇	—	2	2	no	—
660	C₂×D₁₇	—	2	2	no	—
661	C₂×D₁₇	—	4	1	no	—
662	C₂×D₁₇	—	4	1	no	—
663	C₂×D₁₇	—	4	1	no	—
664	C₂×D₁₇	—	4	1	no	—
665	C₂×D₁₇	—	4	1	no	—
666	C₂×D₁₇	—	4	1	no	—
667	C₂×D₁₇	—	4	1	no	—
668	C₂×D₁₇	—	4	1	no	—
669	C₄×C₁₇	—	2	2	no	—
670	C₄×C₁₇	—	2	2	no	—
671	C₄×C₁₇	—	2	2	no	—
672	C₄×C₁₇	—	2	2	no	—
673	C₄×C₁₇	—	2	2	no	—
674	C₄×C₁₇	—	2	2	no	—
675	C₄×C₁₇	—	2	2	no	—
676	C₄×C₁₇	—	4	1	no	—
677	C₄×C₁₇	—	4	1	no	—
678	C₄×C₁₇	—	4	1	no	—
679	C₄×C₁₇	—	4	1	no	—
680	C₄×C₁₇	—	4	1	no	—
681	C₄×C₁₇	—	4	1	no	—
682	C₄×C₁₇	—	4	1	no	—
683	C₄×C₁₇	—	4	1	no	—
684	Dic₁₇	—	2	2	no	—
685	Dic₁₇	—	2	2	no	—
686	Dic₁₇	—	2	2	no	—
687	Dic₁₇	—	2	2	no	—
688	Dic₁₇	—	2	2	no	—
689	Dic₁₇	—	2	2	no	—
690	Dic₁₇	—	2	2	no	—
691	Dic₁₇	—	4	1	no	—
692	Dic₁₇	—	4	1	no	—
693	Dic₁₇	—	4	1	no	—
694	Dic₁₇	—	4	1	no	—
695	Dic₁₇	—	4	1	no	—
696	Dic₁₇	—	4	1	no	—
697	Dic₁₇	—	4	1	no	—
698	#556	—	17	16	no	—
699	C₂×C₄⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
700	C₂×#126	—	17	1	no	—
701	C₂×#126	—	17	1	no	—
702	C₂×#126	—	17	1	no	—
703	C₂×#126	—	17	1	no	—
704	C₂×#124	—	17	1	no	—
705	C₂×#124	—	17	1	no	—
706	C₂×C₂²⋊Q₈	—	17	1	no	—
707	C₂×C₂²⋊Q₈	—	17	1	no	—
708	C₂×C₄×Q₈	—	17	1	no	—
709	C₂×C₄×Q₈	—	17	1	no	—
710	C₂×C₄×Q₈	—	17	1	no	—
711	C₂×C₄×D₄	—	17	1	no	—
712	C₂×#117	—	17	1	no	—
713	C₂×#117	—	17	1	no	—
714	#391	—	17	1	no	—
715	#391	—	17	1	no	—
716	#391	—	17	1	no	—
717	#391	—	17	1	no	—
718	#391	—	17	1	no	—
719	#391	—	17	1	no	—
720	#391	—	17	1	no	—
721	#391	—	17	1	no	—
722	#391	C₂×D₁₇	1	1	yes	characteristic
723	#391	C₂×D₁₇	1	1	yes	characteristic
724	#391	C₂×D₁₇	1	1	yes	characteristic
725	#391	C₂×D₁₇	1	1	yes	characteristic
726	#389	—	17	1	no	—
727	#389	—	17	1	no	—
728	#389	—	17	1	no	—
729	#389	—	17	1	no	—
730	#389	—	17	1	no	—
731	#389	—	17	1	no	—
732	#389	—	17	1	no	—
733	#389	—	17	1	no	—
734	#388	—	17	1	no	—
735	#388	—	17	1	no	—
736	#388	—	17	1	no	—
737	#388	—	17	1	no	—
738	#388	—	17	1	no	—
739	#388	—	17	1	no	—
740	#388	—	17	1	no	—
741	#388	—	17	1	no	—
742	#388	—	17	1	no	—
743	#388	—	17	1	no	—
744	#388	—	17	1	no	—
745	#388	—	17	1	no	—
746	#388	—	17	1	no	—
747	#388	—	17	1	no	—
748	#388	—	17	1	no	—
749	#388	—	17	1	no	—
750	#388	—	17	1	no	—
751	#388	—	17	1	no	—
752	#388	—	17	1	no	—
753	#388	—	17	1	no	—
754	#387	—	17	1	no	—
755	#387	—	17	1	no	—
756	#387	—	17	1	no	—
757	#387	—	17	1	no	—
758	#387	—	17	1	no	—
759	#387	—	17	1	no	—
760	#387	—	17	1	no	—
761	#387	—	17	1	no	—
762	#387	—	17	1	no	—
763	#387	—	17	1	no	—
764	#387	—	17	1	no	—
765	#387	—	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	C₂×D₁₇	1	1	yes	characteristic
779	#387	C₂×D₁₇	1	1	yes	characteristic
780	#387	C₂×D₁₇	1	1	yes	characteristic
781	#387	C₂×D₁₇	1	1	yes	characteristic
782	#387	C₂×D₁₇	1	1	yes	characteristic
783	#387	C₂×D₁₇	1	1	yes	characteristic
784	#387	C₂×D₁₇	1	1	yes	characteristic
785	#387	C₂×D₁₇	1	1	yes	characteristic
786	#386	—	17	1	no	—
787	#386	—	17	1	no	—
788	#386	—	17	1	no	—
789	#386	—	17	1	no	—
790	#385	—	17	1	no	—
791	#385	—	17	1	no	—
792	#385	—	17	1	no	—
793	#385	—	17	1	no	—
794	#385	—	17	1	no	—
795	#385	—	17	1	no	—
796	#385	—	17	1	no	—
797	#385	—	17	1	no	—
798	#385	—	17	1	no	—
799	#385	—	17	1	no	—
800	#384	—	17	1	no	—
801	#383	—	17	1	no	—
802	#383	—	17	1	no	—
803	#383	—	17	1	no	—
804	#383	—	17	1	no	—
805	#383	C₂×D₁₇	1	1	yes	characteristic
806	#383	C₂×D₁₇	1	1	yes	characteristic
807	#382	—	17	1	no	—
808	#382	—	17	1	no	—
809	#382	—	17	1	no	—
810	#382	—	17	1	no	—
811	#382	—	17	1	no	—
812	#382	—	17	1	no	—
813	#381	—	17	1	no	—
814	#381	—	17	1	no	—
815	#380	—	17	1	no	—
816	#380	—	17	1	no	—
817	C₄×C₄⋊C₄	—	17	1	no	—
818	C₄×C₄⋊C₄	—	17	1	no	—
819	C₄×C₄⋊C₄	—	17	1	no	—
820	C₄×C₄⋊C₄	—	17	1	no	—
821	C₄×C₄⋊C₄	—	17	1	no	—
822	C₄×C₄⋊C₄	—	17	1	no	—
823	C₄×C₄⋊C₄	—	17	1	no	—
824	C₄×C₄⋊C₄	—	17	1	no	—
825	C₄×C₄⋊C₄	—	17	1	no	—
826	C₄×C₄⋊C₄	—	17	1	no	—
827	C₄×C₄⋊C₄	—	17	1	no	—
828	C₄×C₄⋊C₄	—	17	1	no	—
829	C₄×C₄⋊C₄	—	17	1	no	—
830	C₄×C₄⋊C₄	—	17	1	no	—
831	C₄×C₄⋊C₄	—	17	1	no	—
832	C₄×C₄⋊C₄	—	17	1	no	—
833	C₄×C₂²⋊C₄	—	17	1	no	—
834	C₄×C₂²⋊C₄	—	17	1	no	—
835	C₄×C₂²⋊C₄	—	17	1	no	—
836	C₄×C₂²⋊C₄	—	17	1	no	—
837	C₄×C₂²⋊C₄	—	17	1	no	—
838	C₄×C₂²⋊C₄	—	17	1	no	—
839	C₄×C₂²⋊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	C₄×C₂²⋊C₄	—	17	1	no	—
844	C₄×C₂²⋊C₄	—	17	1	no	—
845	#376	—	17	1	no	—
846	#376	—	17	1	no	—
847	#376	—	17	1	no	—
848	#376	—	17	1	no	—
849	#376	—	17	1	no	—
850	#376	—	17	1	no	—
851	C₂×#95	—	17	1	no	—
852	C₂×#95	—	17	1	no	—
853	C₄³	—	17	1	no	—
854	C₂×C₁₇	#3428	1	1	yes	characteristic
855	C₂×C₁₇	#3428	1	1	yes	characteristic
856	C₂×C₁₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
857	C₂×C₁₇	#3564	1	1	yes	characteristic
858	C₂×C₁₇	#3565	1	1	yes	characteristic
859	C₂×C₁₇	#3566	1	1	yes	characteristic
860	C₂×C₁₇	#3568	1	1	yes	characteristic
861	D₁₇	—	4	2	no	—
862	D₁₇	—	4	2	no	—
863	C₂²×Q₈	—	17	1	no	—
864	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
865	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
866	C₂²×D₄	—	17	1	no	—
867	C₂³×C₄	—	17	1	no	—
868	C₂³×C₄	—	17	1	no	—
869	C₂³×C₄	—	17	1	no	—
870	C₂³×C₄	—	17	1	no	—
871	C₂³×C₄	—	17	1	no	—
872	C₂³×C₄	—	17	1	no	—
873	C₄⋊Q₈	C₄×D₁₇	1	8	yes	complemented
874	#126	—	17	8	no	—
875	#126	—	17	8	no	—
876	#126	—	17	8	no	—
877	#126	—	17	8	no	—
878	#124	—	17	8	no	—
879	#124	—	17	8	no	—
880	C₂²⋊Q₈	—	17	8	no	—
881	C₂²⋊Q₈	—	17	8	no	—
882	C₄×Q₈	—	17	8	no	—
883	C₄×Q₈	—	17	8	no	—
884	C₄×Q₈	—	17	8	no	—
885	C₄×D₄	—	17	8	no	—
886	#117	—	17	8	no	—
887	#117	—	17	8	no	—
888	C₂×C₄⋊C₄	—	17	1	no	—
889	C₂×C₄⋊C₄	—	17	1	no	—
890	C₂×C₄⋊C₄	—	17	1	no	—
891	C₂×C₄⋊C₄	—	17	1	no	—
892	C₂×C₄⋊C₄	—	17	1	no	—
893	C₂×C₄⋊C₄	—	17	1	no	—
894	C₂×C₄⋊C₄	—	17	1	no	—
895	C₂×C₄⋊C₄	—	17	1	no	—
896	C₂×C₄⋊C₄	—	17	1	no	—
897	C₂×C₄⋊C₄	—	17	1	no	—
898	C₂×C₄⋊C₄	—	17	1	no	—
899	C₂×C₄⋊C₄	—	17	1	no	—
900	C₂×C₄⋊C₄	—	17	1	no	—
901	C₂×C₄⋊C₄	—	17	1	no	—
902	C₂×C₄⋊C₄	—	17	1	no	—
903	C₂×C₄⋊C₄	—	17	1	no	—
904	C₂×C₄⋊C₄	—	17	1	no	—
905	C₂×C₄⋊C₄	—	17	1	no	—
906	C₂×C₄⋊C₄	—	17	1	no	—
907	C₂×C₄⋊C₄	—	17	1	no	—
908	C₂×C₄⋊C₄	—	17	1	no	—
909	C₂×C₄⋊C₄	—	17	1	no	—
910	C₂×C₄⋊C₄	—	17	1	no	—
911	C₂×C₄⋊C₄	—	17	1	no	—
912	C₂×C₄⋊C₄	—	17	1	no	—
913	C₂×C₄⋊C₄	—	17	1	no	—
914	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	17	1	no	—
940	C₂×C₂²⋊C₄	—	17	1	no	—
941	C₂×C₂²⋊C₄	—	17	1	no	—
942	C₂×C₂²⋊C₄	—	17	1	no	—
943	C₂×C₂²⋊C₄	—	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	—	17	1	no	—
950	C₂×C₄²	—	17	1	no	—
951	C₂×C₄²	—	17	1	no	—
952	C₂×C₄²	—	17	1	no	—
953	C₂×C₄²	—	17	1	no	—
954	C₂×C₄²	—	17	1	no	—
955	C₂×C₄²	—	17	1	no	—
956	C₂×C₄²	—	17	1	no	—
957	C₂×C₄²	—	17	1	no	—
958	C₂×C₄²	—	17	1	no	—
959	C₂×C₄²	—	17	1	no	—
960	C₂×C₄²	—	17	1	no	—
961	C₂×C₄²	—	17	1	no	—
962	C₂×C₄²	—	17	1	no	—
963	C₂×C₄²	—	17	1	no	—
964	C₂×C₄²	—	17	1	no	—
965	C₂×C₄²	—	17	1	no	—
966	C₂×C₄²	—	17	1	no	—
967	C₂×C₄²	—	17	1	no	—
968	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
969	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
1002	#95	—	17	1	no	—
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	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	#95	C₂²×D₁₇	1	1	yes	characteristic
1018	#95	C₂²×D₁₇	1	1	yes	characteristic
1019	#95	C₂²×D₁₇	1	1	yes	characteristic
1020	#95	C₂²×D₁₇	1	1	yes	characteristic
1021	#95	C₂²×D₁₇	1	1	yes	characteristic
1022	#95	C₂²×D₁₇	1	1	yes	characteristic
1023	#95	C₂²×D₁₇	1	1	yes	characteristic
1024	#95	C₂²×D₁₇	1	1	yes	characteristic
1025	#95	C₂²×D₁₇	1	1	yes	characteristic
1026	#95	C₂²×D₁₇	1	1	yes	characteristic
1027	#95	C₂²×D₁₇	1	1	yes	characteristic
1028	#95	C₂²×D₁₇	1	1	yes	characteristic
1029	#95	C₂²×D₁₇	1	1	yes	characteristic
1030	#95	C₂²×D₁₇	1	1	yes	characteristic
1031	#95	C₂²×D₁₇	1	1	yes	characteristic
1032	#95	C₂²×D₁₇	1	1	yes	characteristic
1033	C₁₇	#34505	1	1	yes	characteristic, complemented, Sylow
1034	C₂⁴	—	17	1	no	—
1035	C₂⁴	—	17	1	no	—
1036	C₂×Q₈	—	4	1	no	—
1037	C₂×Q₈	—	4	1	no	—
1038	C₂×Q₈	—	4	1	no	—
1039	C₂×Q₈	—	4	1	no	—
1040	C₂×Q₈	—	17	4	no	—
1041	C₂×Q₈	—	68	1	no	—
1042	C₂×Q₈	—	68	1	no	—
1043	C₂×Q₈	C₂×C₄×D₁₇	1	4	yes	—
1044	C₂×Q₈	C₂×C₄×D₁₇	1	4	yes	—
1045	C₂×D₄	—	17	4	no	—
1046	C₂×D₄	—	68	1	no	—
1047	C₂×D₄	—	68	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	—	17	1	no	—
1055	C₂²×C₄	—	17	4	no	—
1056	C₂²×C₄	—	17	4	no	—
1057	C₂²×C₄	—	17	1	no	—
1058	C₂²×C₄	—	17	1	no	—
1059	C₂²×C₄	—	17	1	no	—
1060	C₂²×C₄	—	17	1	no	—
1061	C₂²×C₄	—	17	1	no	—
1062	C₂²×C₄	—	17	1	no	—
1063	C₂²×C₄	—	17	1	no	—
1064	C₂²×C₄	—	34	2	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	—	68	1	no	—
1071	C₂²×C₄	—	68	1	no	—
1072	C₂²×C₄	—	68	1	no	—
1073	C₂²×C₄	—	68	1	no	—
1074	C₂²×C₄	—	68	1	no	—
1075	C₂²×C₄	—	68	1	no	—
1076	C₂²×C₄	—	68	1	no	—
1077	C₂²×C₄	—	68	1	no	—
1078	C₂²×C₄	—	68	1	no	—
1079	C₂²×C₄	—	68	1	no	—
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	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	17	4	no	—
1100	C₄⋊C₄	—	17	4	no	—
1101	C₄⋊C₄	—	17	4	no	—
1102	C₄⋊C₄	—	17	4	no	—
1103	C₄⋊C₄	—	17	4	no	—
1104	C₄⋊C₄	—	17	4	no	—
1105	C₄⋊C₄	—	17	4	no	—
1106	C₄⋊C₄	—	17	4	no	—
1107	C₄⋊C₄	—	34	2	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	C₂×C₄×D₁₇	1	4	yes	—
1126	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1127	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1128	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1129	C₂²⋊C₄	—	17	4	no	—
1130	C₂²⋊C₄	—	17	4	no	—
1131	C₂²⋊C₄	—	17	4	no	—
1132	C₂²⋊C₄	—	17	4	no	—
1133	C₂²⋊C₄	—	17	4	no	—
1134	C₂²⋊C₄	—	17	4	no	—
1135	C₂²⋊C₄	—	17	4	no	—
1136	C₂²⋊C₄	—	17	4	no	—
1137	C₂²⋊C₄	—	17	4	no	—
1138	C₂²⋊C₄	—	17	4	no	—
1139	C₂²⋊C₄	—	34	2	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	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	4	1	no	—
1155	C₄²	—	17	4	no	—
1156	C₄²	—	17	4	no	—
1157	C₄²	—	17	4	no	—
1158	C₄²	—	17	4	no	—
1159	C₄²	—	17	4	no	—
1160	C₄²	—	17	4	no	—
1161	C₄²	—	34	2	no	—
1162	C₄²	—	34	2	no	—
1163	C₄²	—	68	1	no	—
1164	C₄²	—	68	1	no	—
1165	C₄²	—	68	1	no	—
1166	C₄²	—	68	1	no	—
1167	C₄²	—	68	1	no	—
1168	C₄²	—	68	1	no	—
1169	C₄²	—	68	1	no	—
1170	C₄²	—	68	1	no	—
1171	C₄²	—	68	1	no	—
1172	C₄²	—	68	1	no	—
1173	C₄²	—	68	1	no	—
1174	C₄²	—	68	1	no	—
1175	C₄²	—	68	1	no	—
1176	C₄²	—	68	1	no	—
1177	C₄²	—	68	1	no	—
1178	C₄²	—	68	1	no	—
1179	C₄²	C₂×C₄×D₁₇	1	4	yes	—
1180	C₂³	—	17	2	no	—
1181	C₂³	—	17	2	no	—
1182	C₂³	—	34	1	no	—
1183	C₂³	—	34	1	no	—
1184	C₂³	—	34	1	no	—
1185	C₂³	—	34	1	no	—
1186	C₂³	—	34	1	no	—
1187	C₂³	—	34	1	no	—
1188	C₂³	—	34	1	no	—
1189	C₂³	—	34	1	no	—
1190	C₂³	—	34	1	no	—
1191	C₂³	—	34	1	no	—
1192	C₂³	—	34	1	no	—
1193	C₂³	—	34	1	no	—
1194	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1195	Q₈	—	4	4	no	—
1196	Q₈	—	4	4	no	—
1197	Q₈	—	68	4	no	—
1198	D₄	—	68	4	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	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	17	2	no	—
1238	C₂×C₄	—	17	2	no	—
1239	C₂×C₄	—	17	2	no	—
1240	C₂×C₄	—	17	2	no	—
1241	C₂×C₄	—	17	2	no	—
1242	C₂×C₄	—	17	2	no	—
1243	C₂×C₄	—	17	2	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	—	34	1	no	—
1269	C₂×C₄	—	34	1	no	—
1270	C₂×C₄	—	34	1	no	—
1271	C₂×C₄	—	34	1	no	—
1272	C₂×C₄	—	34	1	no	—
1273	C₂×C₄	—	34	1	no	—
1274	C₂×C₄	—	34	1	no	—
1275	C₂×C₄	—	34	1	no	—
1276	C₂×C₄	—	34	1	no	—
1277	C₂×C₄	—	34	1	no	—
1278	C₂×C₄	—	34	1	no	—
1279	C₂×C₄	—	68	4	no	—
1280	C₂×C₄	—	68	4	no	—
1281	C₂×C₄	—	136	2	no	—
1282	C₂×C₄	—	136	2	no	—
1283	C₂×C₄	—	136	2	no	—
1284	C₂×C₄	—	136	2	no	—
1285	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1286	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1287	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1288	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1289	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1290	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1291	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1292	C₂²	—	34	2	no	—
1293	C₂²	—	34	2	no	—
1294	C₂²	—	34	2	no	—
1295	C₂²	—	34	2	no	—
1296	C₂²	—	34	2	no	—
1297	C₂²	—	34	2	no	—
1298	C₂²	—	68	1	no	—
1299	C₂²	—	68	1	no	—
1300	C₂²	—	68	1	no	—
1301	C₂²	—	68	1	no	—
1302	C₂²	—	68	1	no	—
1303	C₂²	—	68	1	no	—
1304	C₂²	—	68	1	no	—
1305	C₂²	—	68	1	no	—
1306	C₂²	C₂³×C₄×D₁₇	1	1	yes	characteristic
1307	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1308	C₂²	#11763644	1	1	yes	characteristic
1309	C₂²	#11763644	1	1	yes	characteristic
1310	C₂²	#11763646	1	1	yes	characteristic
1311	C₂²	#11763646	1	1	yes	characteristic
1312	C₂²	#11763646	1	1	yes	characteristic
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	34	2	no	—
1329	C₄	—	34	2	no	—
1330	C₄	—	34	2	no	—
1331	C₄	—	34	2	no	—
1332	C₄	—	34	2	no	—
1333	C₄	—	34	2	no	—
1334	C₄	—	34	2	no	—
1335	C₄	—	68	1	no	—
1336	C₄	—	68	1	no	—
1337	C₄	—	68	1	no	—
1338	C₄	—	68	1	no	—
1339	C₄	—	68	1	no	—
1340	C₄	—	68	1	no	—
1341	C₄	—	68	1	no	—
1342	C₂	—	68	2	no	—
1343	C₂	—	68	2	no	—
1344	C₂	#14541982	1	1	yes	characteristic
1345	C₂	#14541986	1	1	yes	characteristic
1346	C₂	#14541993	1	1	yes	characteristic
1347	C₂	#14543399	1	1	yes	characteristic
1348	C₂	#14543426	1	1	yes	characteristic
1349	C₂	#14543465	1	1	yes	characteristic
1350	C₂	#14543481	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₁₇×#2381	C₂
socle, cosocle	C₂³×C₁₇	C₂⁵
prime radical	C₂²×D₆₈	C₂³
hypercenter	#2381	D₁₇
hypocenter	C₁₇	#34505
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2381

Complements

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

N	H ≅ G/N	type
2. #14531974	C₂	semidirect
4. #14531948	C₂	semidirect
5. #14531910	C₂	semidirect
6. #14531903	C₂	semidirect
7. #14531897	C₂	semidirect
9. #14531866	C₂	semidirect
10. #14531748	C₂	semidirect
11. #14531744	C₂	semidirect
12. #14531740	C₂	semidirect
14. #14531643	C₂	semidirect
15. #14531639	C₂	semidirect
18. #14531565	C₂	semidirect
19. #14531564	C₂	semidirect
20. #14531562	C₂	semidirect
21. #14531536	C₂	semidirect
22. #14531533	C₂	semidirect
23. #14531513	C₂	semidirect
24. #14531434	C₂	semidirect
25. #14531429	C₂	semidirect
27. #14531390	C₂	semidirect
28. #14531334	C₂	semidirect
29. #14531276	C₂	semidirect
30. #14531259	C₂	semidirect
31. C₁₇×#2381	C₂	semidirect
32. #11763533	C₄	semidirect
198. C₁₇×C₄⋊Q₈	C₂×C₄	semidirect
214. Q₈×Dic₁₇	C₂×C₄	semidirect
215. Q₈×Dic₁₇	C₂×C₄	semidirect
288. #10587584	C₂×C₄	semidirect
289. #10587584	C₂×C₄	semidirect
290. #10587584	C₂×C₄	semidirect
291. #10587584	C₂×C₄	semidirect
292. #10587583	C₂×C₄	semidirect
293. #10587583	C₂×C₄	semidirect
294. #10587578	C₂×C₄	semidirect
295. #10587578	C₂×C₄	semidirect
297. C₄×Dic₃₄	C₂×C₄	semidirect
619. #2381	D₁₇	semidirect
873. C₄⋊Q₈	C₄×D₁₇	semidirect
1033. C₁₇	#34505	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11763533	2
#14531974	2
#14531956	2
#14531948	2
#14531910	2
#14531903	2
#14531897	2
#14531895	2
#14531866	2
#14531748	2
#14531744	2
#14531740	2
#14531717	2
#14531643	2
#14531639	2
#14531596	2
#14531565	2
#14531564	2
#14531562	2
#14531536	2
#14531533	2
#14531513	2
#14531434	2
#14531429	2
#14531415	2
#14531390	2
#14531334	2
#14531276	2
#14531259	2
C₁₇×#2381	2
#34505	17