Subgroups — #17911641

Order 4352.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542529	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542447	C₂	1	1	yes	maximal, characteristic
3	#14540916	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540912	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540894	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540890	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540816	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540810	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540806	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540721	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540717	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540678	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540674	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540619	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540612	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540605	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540601	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539135	C₂	1	1	yes	maximal, characteristic, complemented
19	#14538770	C₂	1	1	yes	maximal, characteristic, complemented
20	#14538723	C₂	1	1	yes	maximal, characteristic, complemented
21	#14538641	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538472	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₇×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538303	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538056	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538041	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537624	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537475	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537309	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₇×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3311	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587691	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587604	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587601	C₂²	1	1	yes	characteristic
36	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587593	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
39	#11763527	C₂²	1	1	yes	characteristic, complemented
40	#11763520	C₂²	1	1	yes	characteristic, complemented
41	#11763517	C₂²	1	1	yes	characteristic, complemented
42	#11763500	—	2	1	no	—
43	#11763500	C₂²	1	1	yes	characteristic, complemented
44	#11763499	C₂²	1	1	yes	characteristic, complemented
45	#11763498	C₂²	1	1	yes	characteristic, complemented
46	#11763495	—	2	1	no	—
47	#11763493	C₂²	1	1	yes	characteristic, complemented
48	#11763489	—	2	1	no	—
49	#11763484	—	2	1	no	—
50	#11763480	C₂²	1	1	yes	characteristic
51	#11763477	C₂²	1	1	yes	characteristic
52	#11763469	C₂²	1	1	yes	characteristic
53	#11763467	C₂²	1	1	yes	characteristic
54	#11763451	—	2	1	no	—
55	#11763449	—	2	1	no	—
56	#11763447	C₂²	1	1	yes	characteristic
57	D₄×D₆₈	C₂²	1	1	yes	characteristic
58	#11763443	—	2	1	no	—
59	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
60	#11763441	—	2	1	no	—
61	#11763436	C₂²	1	1	yes	characteristic, complemented
62	#11763423	—	2	1	no	—
63	#11763416	—	2	1	no	—
64	#11763389	C₂²	1	1	yes	characteristic
65	#11763386	—	2	1	no	—
66	#11763382	C₂²	1	1	yes	characteristic, complemented
67	#11763377	C₂²	1	1	yes	characteristic
68	#11763374	—	2	1	no	—
69	#11763363	—	2	1	no	—
70	#11763342	—	2	1	no	—
71	#11763318	C₂²	1	1	yes	characteristic
72	#11763317	—	2	1	no	—
73	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
74	C₂×#10587570	—	2	1	no	—
75	#121×D₁₇	C₂²	1	1	yes	characteristic
76	#11763289	C₂²	1	1	yes	characteristic, complemented
77	#11763288	C₂²	1	1	yes	characteristic
78	#11763285	C₂²	1	1	yes	characteristic, complemented
79	#117×D₁₇	C₂²	1	1	yes	characteristic, complemented
80	#11763174	C₂²	1	1	yes	characteristic, complemented
81	#11763172	C₂²	1	1	yes	characteristic, complemented
82	#11763170	C₂²	1	1	yes	characteristic, complemented
83	#11763165	C₂²	1	1	yes	characteristic, complemented
84	#11763163	C₂²	1	1	yes	characteristic, complemented
85	#11763157	C₂²	1	1	yes	characteristic, complemented
86	#11763154	C₂²	1	1	yes	characteristic, complemented
87	#11763148	C₂²	1	1	yes	characteristic, complemented
88	#11763138	C₂²	1	1	yes	characteristic, complemented
89	#11763137	C₂²	1	1	yes	characteristic, complemented
90	#11763136	C₂²	1	1	yes	characteristic, complemented
91	#11763134	C₂²	1	1	yes	characteristic, complemented
92	#11763133	C₂²	1	1	yes	characteristic, complemented
93	#11763133	C₂²	1	1	yes	characteristic, complemented
94	#11763130	C₂²	1	1	yes	characteristic, complemented
95	#11763129	C₂²	1	1	yes	characteristic, complemented
96	#11763129	C₂²	1	1	yes	characteristic, complemented
97	#11763128	C₂²	1	1	yes	characteristic, complemented
98	#11763126	C₂²	1	1	yes	characteristic, complemented
99	#11763124	C₂²	1	1	yes	characteristic, complemented
100	#11763121	C₂²	1	1	yes	characteristic, complemented
101	#11763119	C₂²	1	1	yes	characteristic, complemented
102	#11763117	C₂²	1	1	yes	characteristic, complemented
103	#11763109	C₂²	1	1	yes	characteristic, complemented
104	#11763107	C₂²	1	1	yes	characteristic, complemented
105	#11763097	C₂²	1	1	yes	characteristic, complemented
106	#11763093	C₂²	1	1	yes	characteristic, complemented
107	#11763091	C₂²	1	1	yes	characteristic, complemented
108	#11763066	C₂²	1	1	yes	characteristic, complemented
109	#11763058	C₂²	1	1	yes	characteristic, complemented
110	#11763055	C₂²	1	1	yes	characteristic, complemented
111	#11763048	C₂²	1	1	yes	characteristic, complemented
112	#11763047	C₂²	1	1	yes	characteristic, complemented
113	#11763041	C₂²	1	1	yes	characteristic, complemented
114	#11763040	C₂²	1	1	yes	characteristic, complemented
115	#11763040	C₂²	1	1	yes	characteristic, complemented
116	#11763039	C₂²	1	1	yes	characteristic, complemented
117	#11763039	C₂²	1	1	yes	characteristic, complemented
118	#11763038	C₂²	1	1	yes	characteristic, complemented
119	#11763037	C₂²	1	1	yes	characteristic, complemented
120	#11763036	C₂²	1	1	yes	characteristic, complemented
121	#11763035	C₂²	1	1	yes	characteristic, complemented
122	#11763034	C₂²	1	1	yes	characteristic, complemented
123	#11763033	C₂²	1	1	yes	characteristic, complemented
124	#11763028	C₂²	1	1	yes	characteristic, complemented
125	#11763010	C₂²	1	1	yes	characteristic, complemented
126	#11763009	C₂²	1	1	yes	characteristic, complemented
127	#11763008	C₂²	1	1	yes	characteristic, complemented
128	#11763007	C₂²	1	1	yes	characteristic, complemented
129	#11762973	C₂²	1	1	yes	characteristic, complemented
130	#11762973	C₂²	1	1	yes	characteristic, complemented
131	#11762972	C₂²	1	1	yes	characteristic, complemented
132	#11762971	C₂²	1	1	yes	characteristic, complemented
133	#11762969	C₂²	1	1	yes	characteristic, complemented
134	#11762969	C₂²	1	1	yes	characteristic, complemented
135	#11762968	C₂²	1	1	yes	characteristic, complemented
136	#11762966	C₂²	1	1	yes	characteristic, complemented
137	#11762963	C₂²	1	1	yes	characteristic, complemented
138	#11762961	C₂²	1	1	yes	characteristic, complemented
139	#11762961	C₂²	1	1	yes	characteristic, complemented
140	#11762960	C₂²	1	1	yes	characteristic, complemented
141	#11762958	C₂²	1	1	yes	characteristic, complemented
142	#11762958	C₂²	1	1	yes	characteristic, complemented
143	#11762917	C₂²	1	1	yes	characteristic, complemented
144	#11762913	C₂²	1	1	yes	characteristic, complemented
145	#11762906	C₂²	1	1	yes	characteristic, complemented
146	#11762903	C₂²	1	1	yes	characteristic, complemented
147	C₄×#63231	C₂²	1	1	yes	characteristic, complemented
148	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
149	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
150	#11762882	C₂²	1	1	yes	characteristic, complemented
151	#11762880	C₂²	1	1	yes	characteristic, complemented
152	#11762878	C₂²	1	1	yes	characteristic, complemented
153	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
154	#11762874	C₂²	1	1	yes	characteristic, complemented
155	#11762872	C₂²	1	1	yes	characteristic, complemented
156	#11762872	C₂²	1	1	yes	characteristic, complemented
157	#11762850	C₂²	1	1	yes	characteristic, complemented
158	#11762848	C₂²	1	1	yes	characteristic, complemented
159	#106×D₁₇	C₂²	1	1	yes	characteristic, complemented
160	#11762834	C₂²	1	1	yes	characteristic, complemented
161	#11762812	C₂²	1	1	yes	characteristic, complemented
162	#11762812	C₂²	1	1	yes	characteristic, complemented
163	#11762812	C₂²	1	1	yes	characteristic, complemented
164	#11762811	C₂²	1	1	yes	characteristic, complemented
165	#11762809	C₂²	1	1	yes	characteristic, complemented
166	#11762807	C₂²	1	1	yes	characteristic
167	#11762807	C₂²	1	1	yes	characteristic, complemented
168	#11762806	C₂²	1	1	yes	characteristic, complemented
169	#11762805	C₂²	1	1	yes	characteristic, complemented
170	#11762804	C₂²	1	1	yes	characteristic, complemented
171	#11762804	C₂²	1	1	yes	characteristic, complemented
172	#11762803	C₂²	1	1	yes	characteristic, complemented
173	#11762803	C₂²	1	1	yes	characteristic, complemented
174	#11762802	C₂²	1	1	yes	characteristic
175	#11762802	C₂²	1	1	yes	characteristic
176	#11762802	C₂²	1	1	yes	characteristic, complemented
177	#103×D₁₇	C₂²	1	1	yes	characteristic, complemented
178	#103×D₁₇	C₂²	1	1	yes	characteristic, complemented
179	#103×D₁₇	C₂²	1	1	yes	characteristic, complemented
180	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
181	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
182	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
183	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
184	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
185	#11762774	C₂²	1	1	yes	characteristic, complemented
186	#11762771	C₂²	1	1	yes	characteristic, complemented
187	#11762766	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#556	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#546	C₂²	1	1	yes	characteristic
190	C₁₇×#489	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#476	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#470	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#465	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#435	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#418	C₂²	1	1	yes	characteristic, complemented
202	C₁₇×#416	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₇	—	2	1	no	—
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	C₂²×C₂²⋊D₁₇	—	2	1	no	—
208	#41×D₁₇	—	2	4	no	—
209	#41×D₁₇	—	4	2	no	—
210	C₂×#63256	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
213	#10587691	—	2	4	no	—
214	#10587691	—	4	2	no	—
215	C₂×#63254	—	2	1	no	—
216	C₂×#63254	—	2	1	no	—
217	C₂×#63254	C₂³	1	1	yes	characteristic
218	C₂×#63254	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₁₇	—	2	1	no	—
220	C₂×D₄×D₁₇	—	2	1	no	—
221	C₂×D₄×D₁₇	—	2	1	no	—
222	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×#63252	—	2	1	no	—
226	C₂×#63252	C₂³	1	1	yes	characteristic
227	C₂×#63252	C₂³	1	1	yes	characteristic
228	C₂×#63252	C₂³	1	1	yes	characteristic
229	C₂²×D₆₈	—	2	1	no	—
230	C₂²×C₄×D₁₇	—	2	1	no	—
231	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
232	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
235	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
237	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₇×#126	—	2	1	no	—
239	C₁₇×#126	—	2	1	no	—
240	C₁₇×#124	—	2	1	no	—
241	C₁₇×#124	C₂³	1	1	yes	characteristic
242	C₁₇×#123	—	2	1	no	—
243	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₇×#121	—	2	1	no	—
247	C₁₇×#121	C₂³	1	1	yes	characteristic
248	C₁₇×#120	—	2	1	no	—
249	C₄×Q₈×C₁₇	—	2	1	no	—
250	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
253	C₁₇×#117	C₂³	1	1	yes	characteristic
254	C₁₇×#117	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
256	#10587639	—	2	1	no	—
257	#10587633	C₂³	1	1	yes	characteristic
258	#10587632	—	2	1	no	—
259	#10587632	—	2	1	no	—
260	#10587632	—	2	1	no	—
261	#10587632	C₂³	1	1	yes	characteristic
262	#10587632	C₂³	1	1	yes	characteristic
263	#10587632	C₂³	1	1	yes	characteristic
264	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
265	#10587630	—	2	1	no	—
266	C₂×#63231	C₂³	1	1	yes	characteristic
267	C₂×#63231	C₂³	1	1	yes	characteristic
268	C₂×#63230	C₂³	1	1	yes	characteristic
269	C₂×#63230	C₂³	1	1	yes	characteristic
270	#10587626	—	2	1	no	—
271	#10587626	—	2	1	no	—
272	#10587626	C₂³	1	1	yes	characteristic
273	#10587625	—	2	1	no	—
274	#10587625	—	2	1	no	—
275	#10587625	—	2	1	no	—
276	#10587625	—	2	1	no	—
277	#10587625	D₄	1	1	yes	characteristic
278	#10587624	C₂³	1	1	yes	characteristic
279	#10587623	—	2	1	no	—
280	#10587623	—	2	1	no	—
281	#10587623	D₄	1	1	yes	characteristic
282	#10587621	—	2	1	no	—
283	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×#63229	C₂³	1	1	yes	characteristic
285	C₂×#63229	C₂³	1	1	yes	characteristic
286	#10587616	—	2	1	no	—
287	#10587616	C₂³	1	1	yes	characteristic
288	#10587616	C₂³	1	1	yes	characteristic
289	#10587615	—	2	1	no	—
290	C₄×C₂²⋊D₁₇	—	2	1	no	—
291	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
292	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
293	C₂×#63227	—	2	1	no	—
294	#10587612	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
296	#10587610	C₂³	1	1	yes	characteristic
297	#10587610	C₂³	1	1	yes	characteristic
298	C₂×#63225	—	2	1	no	—
299	C₂²×#3622	C₂³	1	1	yes	characteristic
300	C₂²×#3622	C₂³	1	1	yes	characteristic
301	#10587604	—	4	2	no	—
302	#10587601	—	2	4	no	—
303	SD₁₆×D₁₇	—	4	2	no	—
304	#10587593	—	4	2	no	—
305	C₂×Dic₆₈	C₂³	1	1	yes	characteristic
306	C₂×#63219	C₂³	1	1	yes	characteristic
307	C₂×#63219	C₂³	1	1	yes	characteristic
308	C₂×#63218	C₂³	1	1	yes	characteristic
309	C₂×#63218	C₂³	1	1	yes	characteristic
310	C₂×#63218	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₇	—	4	2	no	—
312	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
317	#10587583	—	2	1	no	—
318	#10587583	C₂³	1	1	yes	characteristic
319	#10587583	C₂³	1	1	yes	characteristic
320	#10587582	—	2	1	no	—
321	#10587582	—	2	1	no	—
322	#10587582	—	2	1	no	—
323	#10587582	—	2	1	no	—
324	#10587582	D₄	1	1	yes	characteristic
325	#10587581	—	2	1	no	—
326	#10587581	C₂³	1	1	yes	characteristic
327	#10587581	C₂³	1	1	yes	characteristic
328	#10587580	—	2	1	no	—
329	#10587580	—	2	1	no	—
330	#10587580	D₄	1	1	yes	characteristic
331	#10587579	—	2	1	no	—
332	#10587579	—	2	1	no	—
333	#10587579	—	2	1	no	—
334	#10587578	—	2	1	no	—
335	#10587578	—	2	1	no	—
336	#10587578	C₂³	1	1	yes	characteristic
337	#10587578	C₂³	1	1	yes	characteristic
338	#10587578	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×D₁₇	—	2	1	no	—
340	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
345	#10587576	—	2	1	no	—
346	#10587576	C₂³	1	1	yes	characteristic
347	#10587575	—	2	1	no	—
348	#10587575	—	2	1	no	—
349	#10587575	—	2	1	no	—
350	#10587575	—	2	1	no	—
351	#10587575	—	2	1	no	—
352	#10587574	—	2	1	no	—
353	#10587574	C₂³	1	1	yes	characteristic
354	#10587573	—	2	1	no	—
355	#10587573	C₂³	1	1	yes	characteristic
356	#10587573	C₂³	1	1	yes	characteristic
357	#10587571	—	2	1	no	—
358	#10587571	—	2	1	no	—
359	#10587571	—	2	1	no	—
360	#10587571	—	2	1	no	—
361	#10587570	—	2	1	no	—
362	#10587570	—	2	1	no	—
363	#10587570	—	2	1	no	—
364	#10587570	—	2	1	no	—
365	#10587570	—	2	1	no	—
366	#10587570	—	2	1	no	—
367	#10587570	—	2	1	no	—
368	#10587570	—	2	1	no	—
369	#10587570	—	2	1	no	—
370	#10587570	—	2	1	no	—
371	#10587570	D₄	1	1	yes	characteristic
372	#10587569	—	2	1	no	—
373	#10587569	—	2	1	no	—
374	#10587569	—	2	1	no	—
375	#10587569	D₄	1	1	yes	characteristic
376	#10587568	—	2	1	no	—
377	#10587568	—	2	1	no	—
378	#10587568	—	2	1	no	—
379	#10587568	—	2	1	no	—
380	#10587568	D₄	1	1	yes	characteristic
381	#10587567	—	2	1	no	—
382	#10587567	—	2	1	no	—
383	#10587567	—	2	1	no	—
384	#10587567	—	2	1	no	—
385	#10587567	—	2	1	no	—
386	#10587567	—	2	1	no	—
387	C₂²⋊C₄×D₁₇	—	2	1	no	—
388	C₂²⋊C₄×D₁₇	—	2	1	no	—
389	C₂²⋊C₄×D₁₇	—	2	1	no	—
390	#10587565	—	2	1	no	—
391	#10587565	—	2	1	no	—
392	#10587565	—	2	1	no	—
393	#10587565	—	2	1	no	—
394	#10587564	—	2	1	no	—
395	#10587564	—	2	1	no	—
396	#10587564	—	2	1	no	—
397	#10587564	D₄	1	1	yes	characteristic
398	#10587563	—	2	1	no	—
399	#10587563	—	2	1	no	—
400	#10587563	—	2	1	no	—
401	#10587562	—	2	1	no	—
402	#10587562	—	2	1	no	—
403	#10587560	C₂³	1	1	yes	characteristic
404	C₄×D₆₈	—	2	1	no	—
405	C₄×D₆₈	C₂³	1	1	yes	characteristic
406	#10587558	—	2	1	no	—
407	#10587558	—	2	1	no	—
408	#10587558	—	2	1	no	—
409	#10587558	—	2	1	no	—
410	#10587558	C₂³	1	1	yes	characteristic
411	C₄²×D₁₇	—	2	1	no	—
412	#10587556	—	2	1	no	—
413	#10587556	C₂³	1	1	yes	characteristic
414	C₄×Dic₃₄	—	2	1	no	—
415	C₄×Dic₃₄	—	2	1	no	—
416	C₄×Dic₃₄	—	2	1	no	—
417	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
418	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
419	C₁₇×#107	C₂³	1	1	yes	characteristic
420	C₁₇×#106	C₂³	1	1	yes	characteristic
421	C₁₇×#106	C₂³	1	1	yes	characteristic
422	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₇×#103	C₂³	1	1	yes	characteristic
424	C₁₇×#103	C₂³	1	1	yes	characteristic
425	C₁₇×#103	C₂³	1	1	yes	characteristic
426	C₁₇×#103	C₂³	1	1	yes	characteristic
427	C₁₇×#102	C₂³	1	1	yes	characteristic
428	C₁₇×#102	C₂³	1	1	yes	characteristic
429	C₁₇×#102	C₂³	1	1	yes	characteristic
430	C₁₇×#102	C₂³	1	1	yes	characteristic
431	C₁₇×#102	C₂³	1	1	yes	characteristic
432	C₁₇×#102	C₂³	1	1	yes	characteristic
433	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₇×#97	C₂³	1	1	yes	characteristic
436	#10587506	C₂³	1	1	yes	characteristic
437	#10587506	C₂³	1	1	yes	characteristic
438	#10587506	C₂³	1	1	yes	characteristic
439	#10587506	C₂³	1	1	yes	characteristic
440	#10587503	C₂³	1	1	yes	characteristic
441	#10587503	C₂³	1	1	yes	characteristic
442	#10587503	C₂³	1	1	yes	characteristic
443	#10587503	C₂³	1	1	yes	characteristic
444	#10587503	C₂³	1	1	yes	characteristic
445	#10587503	C₂³	1	1	yes	characteristic
446	C₂²⋊#3622	C₂³	1	1	yes	characteristic
447	C₂²⋊#3622	C₂³	1	1	yes	characteristic
448	#10587492	C₂³	1	1	yes	characteristic
449	#10587492	C₂³	1	1	yes	characteristic
450	#10587492	C₂³	1	1	yes	characteristic
451	#10587492	C₂³	1	1	yes	characteristic
452	#10587492	C₂³	1	1	yes	characteristic
453	#10587492	C₂³	1	1	yes	characteristic
454	#10587491	C₂³	1	1	yes	characteristic
455	#10587491	C₂³	1	1	yes	characteristic
456	#10587491	C₂³	1	1	yes	characteristic
457	#10587491	C₂³	1	1	yes	characteristic
458	#10587489	C₂³	1	1	yes	characteristic
459	#10587488	C₂³	1	1	yes	characteristic
460	#10587488	C₂³	1	1	yes	characteristic
461	#10587487	C₂³	1	1	yes	characteristic
462	#10587487	C₂³	1	1	yes	characteristic
463	#10587487	C₂³	1	1	yes	characteristic
464	#10587487	C₂³	1	1	yes	characteristic
465	#10587486	C₂³	1	1	yes	characteristic
466	#10587485	C₂³	1	1	yes	characteristic
467	#10587485	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
469	#10587481	C₂³	1	1	yes	characteristic
470	#10587481	C₂³	1	1	yes	characteristic
471	#10587481	C₂³	1	1	yes	characteristic
472	#10587481	C₂³	1	1	yes	characteristic
473	#10587480	C₂³	1	1	yes	characteristic
474	#10587480	C₂³	1	1	yes	characteristic
475	#10587480	C₂³	1	1	yes	characteristic
476	#10587480	C₂³	1	1	yes	characteristic
477	#10587480	C₂³	1	1	yes	characteristic
478	#10587480	C₂³	1	1	yes	characteristic
479	#10587479	C₂³	1	1	yes	characteristic
480	#10587479	C₂³	1	1	yes	characteristic
481	#10587479	C₂³	1	1	yes	characteristic
482	#10587479	C₂³	1	1	yes	characteristic
483	#10587478	C₂³	1	1	yes	characteristic
484	#10587478	C₂³	1	1	yes	characteristic
485	C₄⋊#3622	C₂³	1	1	yes	characteristic
486	C₄×#3622	C₂³	1	1	yes	characteristic
487	C₂⁴×C₁₇	—	2	1	no	—
488	C₂³×D₁₇	—	2	1	no	—
489	C₂³×D₁₇	—	2	1	no	—
490	C₂³×D₁₇	—	2	1	no	—
491	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
492	#41×C₁₇	—	2	2	no	—
493	#41×C₁₇	—	4	1	no	—
494	C₂×Q₈×C₁₇	—	2	1	no	—
495	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₇	—	2	2	no	—
498	C₂×D₄×C₁₇	—	2	1	no	—
499	C₂×D₄×C₁₇	—	2	1	no	—
500	C₂×D₄×C₁₇	—	2	1	no	—
501	C₂×D₄×C₁₇	—	4	1	no	—
502	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₇	—	2	1	no	—
506	C₂²×C₄×C₁₇	—	2	1	no	—
507	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₇	—	2	1	no	—
510	C₂×C₂²⋊D₁₇	—	2	1	no	—
511	C₂×C₂²⋊D₁₇	—	2	1	no	—
512	C₂×C₂²⋊D₁₇	—	2	1	no	—
513	C₂×C₂²⋊D₁₇	—	2	1	no	—
514	C₂×C₂²⋊D₁₇	—	2	1	no	—
515	C₂×C₂²⋊D₁₇	—	2	1	no	—
516	C₂×C₂²⋊D₁₇	—	2	1	no	—
517	C₂×C₂²⋊D₁₇	—	2	1	no	—
518	C₂×C₂²⋊D₁₇	—	2	1	no	—
519	C₂×C₂²⋊D₁₇	—	2	1	no	—
520	C₂×C₂²⋊D₁₇	—	2	1	no	—
521	C₂×C₂²⋊D₁₇	—	4	4	no	—
522	C₂×C₂²⋊D₁₇	—	4	4	no	—
523	C₂×C₂²⋊D₁₇	—	8	2	no	—
524	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₇	—	2	1	no	—
529	C₂²×Dic₁₇	—	2	1	no	—
530	C₂²×Dic₁₇	—	2	1	no	—
531	C₂²×Dic₁₇	—	2	1	no	—
532	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
533	#63256	—	2	2	no	—
534	#63256	—	2	2	no	—
535	Q₈×D₁₇	—	2	2	no	—
536	Q₈×D₁₇	—	2	2	no	—
537	Q₈×D₁₇	—	2	2	no	—
538	Q₈×D₁₇	—	4	1	no	—
539	#63254	—	2	2	no	—
540	#63254	—	2	2	no	—
541	#63254	—	4	1	no	—
542	#63254	—	4	4	no	—
543	#63254	—	4	4	no	—
544	#63254	#41	1	4	yes	—
545	D₄×D₁₇	—	2	2	no	—
546	D₄×D₁₇	—	2	2	no	—
547	D₄×D₁₇	—	2	2	no	—
548	D₄×D₁₇	—	2	2	no	—
549	D₄×D₁₇	—	4	1	no	—
550	D₄×D₁₇	—	4	1	no	—
551	D₄×D₁₇	—	4	4	no	—
552	D₄×D₁₇	—	4	4	no	—
553	D₄×D₁₇	—	8	2	no	—
554	#63252	—	2	2	no	—
555	#63252	—	2	2	no	—
556	#63252	—	2	2	no	—
557	#63252	—	2	2	no	—
558	#63252	—	4	1	no	—
559	#63252	—	4	1	no	—
560	#63252	—	4	4	no	—
561	C₂×D₆₈	—	2	1	no	—
562	C₂×D₆₈	—	2	1	no	—
563	C₂×D₆₈	—	2	1	no	—
564	C₂×D₆₈	—	2	1	no	—
565	C₂×D₆₈	—	2	1	no	—
566	C₂×D₆₈	—	8	2	no	—
567	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
568	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
569	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
570	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₁₇	—	2	2	no	—
572	C₂×C₄×D₁₇	—	2	2	no	—
573	C₂×C₄×D₁₇	—	2	1	no	—
574	C₂×C₄×D₁₇	—	2	1	no	—
575	C₂×C₄×D₁₇	—	2	1	no	—
576	C₂×C₄×D₁₇	—	2	1	no	—
577	C₂×C₄×D₁₇	—	2	1	no	—
578	C₂×C₄×D₁₇	—	2	1	no	—
579	C₂×C₄×D₁₇	—	2	1	no	—
580	C₂×C₄×D₁₇	—	2	1	no	—
581	C₂×C₄×D₁₇	—	2	1	no	—
582	C₂×C₄×D₁₇	—	2	1	no	—
583	C₂×C₄×D₁₇	—	4	4	no	—
584	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₃₄	—	2	1	no	—
590	C₂×Dic₃₄	—	2	1	no	—
591	C₂×Dic₃₄	—	2	1	no	—
592	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
593	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
595	Q₁₆×C₁₇	—	4	1	no	—
596	SD₁₆×C₁₇	—	2	2	no	—
597	SD₁₆×C₁₇	—	4	1	no	—
598	M₁₆×C₁₇	—	4	1	no	—
599	C₂×C₈×C₁₇	—	4	1	no	—
600	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄×C₁₇	—	2	1	no	—
605	C₄⋊C₄×C₁₇	—	2	1	no	—
606	C₄⋊C₄×C₁₇	—	2	1	no	—
607	C₄⋊C₄×C₁₇	—	2	1	no	—
608	C₄⋊C₄×C₁₇	—	2	1	no	—
609	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
614	C₂²⋊C₄×C₁₇	—	2	1	no	—
615	C₂²⋊C₄×C₁₇	—	2	1	no	—
616	C₂²⋊C₄×C₁₇	—	2	1	no	—
617	C₂²⋊C₄×C₁₇	—	2	1	no	—
618	C₂²⋊C₄×C₁₇	—	2	1	no	—
619	C₂²⋊C₄×C₁₇	—	2	1	no	—
620	C₂²⋊C₄×C₁₇	—	2	1	no	—
621	C₂²⋊C₄×C₁₇	—	2	1	no	—
622	C₂²⋊C₄×C₁₇	—	2	1	no	—
623	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
625	C₄²×C₁₇	—	2	1	no	—
626	C₄²×C₁₇	—	2	1	no	—
627	C₄²×C₁₇	—	2	1	no	—
628	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
629	C₂²⋊Dic₁₇	—	2	1	no	—
630	C₂²⋊Dic₁₇	—	2	1	no	—
631	C₂²⋊Dic₁₇	—	2	1	no	—
632	C₂²⋊Dic₁₇	—	2	1	no	—
633	C₂²⋊Dic₁₇	—	2	1	no	—
634	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
635	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
636	#63231	—	2	2	no	—
637	#63231	—	4	1	no	—
638	#63230	—	4	1	no	—
639	#63230	—	4	1	no	—
640	#63229	—	2	2	no	—
641	#63229	—	4	1	no	—
642	#63227	—	2	1	no	—
643	#63227	—	2	1	no	—
644	#63227	—	2	1	no	—
645	#63227	—	2	1	no	—
646	#63227	—	2	1	no	—
647	#63227	—	2	1	no	—
648	#63227	—	2	1	no	—
649	#63227	—	2	1	no	—
650	#63227	—	2	1	no	—
651	#63227	—	2	1	no	—
652	#63227	—	2	1	no	—
653	#63227	—	2	1	no	—
654	#63227	—	2	1	no	—
655	#63227	—	2	1	no	—
656	#63227	C₂×D₄	1	1	yes	characteristic
657	#63227	C₂×D₄	1	1	yes	characteristic
658	#63227	C₂×D₄	1	1	yes	characteristic
659	#63227	C₂×D₄	1	1	yes	characteristic
660	#63227	C₂×D₄	1	1	yes	characteristic
661	#63227	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₁₇	—	2	1	no	—
663	C₄⋊Dic₁₇	—	2	1	no	—
664	C₄⋊Dic₁₇	—	2	1	no	—
665	C₄⋊Dic₁₇	—	2	1	no	—
666	C₄⋊Dic₁₇	—	2	1	no	—
667	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
672	#63225	—	2	1	no	—
673	#63225	—	2	1	no	—
674	#63225	—	2	1	no	—
675	#63225	—	2	1	no	—
676	#63225	—	2	1	no	—
677	#63225	—	2	1	no	—
678	#63225	—	2	1	no	—
679	#63225	—	2	1	no	—
680	#63225	—	2	1	no	—
681	#63225	—	2	1	no	—
682	#63225	—	2	1	no	—
683	#63225	—	2	1	no	—
684	#63225	—	2	1	no	—
685	#63225	—	2	1	no	—
686	#63225	—	2	1	no	—
687	#63225	—	2	1	no	—
688	#63225	—	2	1	no	—
689	#63225	—	2	1	no	—
690	#63225	C₂×D₄	1	1	yes	characteristic
691	#63225	C₂×D₄	1	1	yes	characteristic
692	#63225	C₂×D₄	1	1	yes	characteristic
693	#63225	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₁₇	—	2	1	no	—
695	C₄×Dic₁₇	—	2	1	no	—
696	C₄×Dic₁₇	—	2	1	no	—
697	C₄×Dic₁₇	—	2	1	no	—
698	C₄×Dic₁₇	—	2	1	no	—
699	C₄×Dic₁₇	—	2	1	no	—
700	C₄×Dic₁₇	—	2	1	no	—
701	C₄×Dic₁₇	—	2	1	no	—
702	C₄×Dic₁₇	—	2	1	no	—
703	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
704	C₂×#3622	—	4	1	no	—
705	C₂×#3622	—	4	1	no	—
706	C₂×#3622	C₂⁴	1	1	yes	characteristic
707	C₂×#3622	C₂⁴	1	1	yes	characteristic
708	C₂×#3622	C₂⁴	1	1	yes	characteristic
709	C₂×#3622	C₂⁴	1	1	yes	characteristic
710	Dic₆₈	—	2	2	no	—
711	#63219	—	4	1	no	—
712	#63219	—	4	1	no	—
713	#63218	—	2	2	no	—
714	#63218	—	2	2	no	—
715	#63218	—	4	1	no	—
716	C₈×D₁₇	—	2	2	no	—
717	C₈×D₁₇	—	2	2	no	—
718	C₈×D₁₇	—	4	1	no	—
719	C₈×D₁₇	—	4	1	no	—
720	C₈×D₁₇	—	4	1	no	—
721	#61172	—	17	1	no	maximal, Sylow
722	C₂³×C₁₇	—	2	1	no	—
723	C₂³×C₁₇	—	2	1	no	—
724	C₂³×C₁₇	—	4	2	no	—
725	C₂³×C₁₇	—	8	1	no	—
726	C₂³×C₁₇	—	8	1	no	—
727	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₁₇	—	2	2	no	—
730	C₂²×D₁₇	—	2	2	no	—
731	C₂²×D₁₇	—	2	1	no	—
732	C₂²×D₁₇	—	2	1	no	—
733	C₂²×D₁₇	—	4	1	no	—
734	C₂²×D₁₇	—	4	2	no	—
735	C₂²×D₁₇	—	4	2	no	—
736	C₂²×D₁₇	—	4	2	no	—
737	C₂²×D₁₇	—	4	2	no	—
738	C₂²×D₁₇	—	8	1	no	—
739	C₂²×D₁₇	—	8	1	no	—
740	C₂²×D₁₇	—	8	1	no	—
741	C₂²×D₁₇	—	8	1	no	—
742	C₂²×D₁₇	—	8	1	no	—
743	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
744	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
745	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
746	Q₈×C₁₇	—	2	1	no	—
747	Q₈×C₁₇	—	2	1	no	—
748	Q₈×C₁₇	—	2	1	no	—
749	Q₈×C₁₇	—	2	1	no	—
750	Q₈×C₁₇	—	8	1	no	—
751	D₄×C₁₇	—	2	1	no	—
752	D₄×C₁₇	—	2	1	no	—
753	D₄×C₁₇	—	2	1	no	—
754	D₄×C₁₇	—	4	1	no	—
755	D₄×C₁₇	—	4	2	no	—
756	D₄×C₁₇	—	4	2	no	—
757	D₄×C₁₇	—	8	1	no	—
758	D₄×C₁₇	C₂×#41	1	2	yes	—
759	C₂×C₄×C₁₇	—	2	1	no	—
760	C₂×C₄×C₁₇	—	2	1	no	—
761	C₂×C₄×C₁₇	—	2	1	no	—
762	C₂×C₄×C₁₇	—	2	1	no	—
763	C₂×C₄×C₁₇	—	2	1	no	—
764	C₂×C₄×C₁₇	—	2	1	no	—
765	C₂×C₄×C₁₇	—	2	1	no	—
766	C₂×C₄×C₁₇	—	2	1	no	—
767	C₂×C₄×C₁₇	—	2	1	no	—
768	C₂×C₄×C₁₇	—	2	1	no	—
769	C₂×C₄×C₁₇	—	4	2	no	—
770	C₂×C₄×C₁₇	—	8	1	no	—
771	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
776	C₂²⋊D₁₇	—	2	2	no	—
777	C₂²⋊D₁₇	—	2	4	no	—
778	C₂²⋊D₁₇	—	2	2	no	—
779	C₂²⋊D₁₇	—	2	2	no	—
780	C₂²⋊D₁₇	—	4	1	no	—
781	C₂²⋊D₁₇	—	4	2	no	—
782	C₂²⋊D₁₇	—	4	2	no	—
783	C₂²⋊D₁₇	—	4	2	no	—
784	C₂²⋊D₁₇	—	4	2	no	—
785	C₂²⋊D₁₇	—	4	2	no	—
786	C₂²⋊D₁₇	—	4	2	no	—
787	C₂²⋊D₁₇	—	4	2	no	—
788	C₂²⋊D₁₇	—	8	1	no	—
789	C₂²⋊D₁₇	—	8	1	no	—
790	C₂²⋊D₁₇	—	8	1	no	—
791	C₂²⋊D₁₇	—	8	1	no	—
792	C₂×Dic₁₇	—	2	1	no	—
793	C₂×Dic₁₇	—	2	2	no	—
794	C₂×Dic₁₇	—	2	4	no	—
795	C₂×Dic₁₇	—	2	1	no	—
796	C₂×Dic₁₇	—	2	1	no	—
797	C₂×Dic₁₇	—	2	1	no	—
798	C₂×Dic₁₇	—	2	1	no	—
799	C₂×Dic₁₇	—	2	1	no	—
800	C₂×Dic₁₇	—	4	2	no	—
801	C₂×Dic₁₇	—	8	1	no	—
802	C₂×Dic₁₇	—	8	1	no	—
803	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
804	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
805	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
806	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
808	D₆₈	—	2	2	no	—
809	D₆₈	—	2	2	no	—
810	D₆₈	—	2	1	no	—
811	D₆₈	—	2	1	no	—
812	D₆₈	—	2	1	no	—
813	D₆₈	—	2	1	no	—
814	D₆₈	—	4	2	no	—
815	D₆₈	—	4	2	no	—
816	D₆₈	—	8	1	no	—
817	D₆₈	—	8	1	no	—
818	D₆₈	—	8	1	no	—
819	C₄×D₁₇	—	2	2	no	—
820	C₄×D₁₇	—	2	1	no	—
821	C₄×D₁₇	—	2	1	no	—
822	C₄×D₁₇	—	2	1	no	—
823	C₄×D₁₇	—	2	1	no	—
824	C₄×D₁₇	—	2	2	no	—
825	C₄×D₁₇	—	4	2	no	—
826	C₄×D₁₇	—	4	2	no	—
827	C₄×D₁₇	—	4	2	no	—
828	C₄×D₁₇	—	4	2	no	—
829	C₄×D₁₇	—	4	2	no	—
830	C₄×D₁₇	—	4	2	no	—
831	C₄×D₁₇	—	8	1	no	—
832	C₄×D₁₇	—	8	1	no	—
833	C₄×D₁₇	—	8	1	no	—
834	C₄×D₁₇	—	8	1	no	—
835	C₄×D₁₇	C₂×#41	1	2	yes	—
836	C₄×D₁₇	H(5,𝔽₂)	1	2	yes	—
837	Dic₃₄	—	2	1	no	—
838	Dic₃₄	—	2	2	no	—
839	Dic₃₄	—	2	1	no	—
840	Dic₃₄	—	2	1	no	—
841	Dic₃₄	—	4	2	no	—
842	Dic₃₄	—	4	2	no	—
843	Dic₃₄	—	8	1	no	—
844	Dic₃₄	C₂×#41	1	2	yes	—
845	C₈×C₁₇	—	2	1	no	—
846	C₈×C₁₇	—	2	1	no	—
847	C₈×C₁₇	—	2	1	no	—
848	C₈×C₁₇	—	2	1	no	—
849	#3622	—	2	1	no	—
850	#3622	—	2	1	no	—
851	#3622	—	2	1	no	—
852	#3622	—	2	1	no	—
853	#3495	—	17	1	no	—
854	#3488	—	17	1	no	—
855	#3317	—	17	1	no	—
856	#3317	—	17	1	no	—
857	#3316	—	17	1	no	—
858	#3316	—	17	1	no	—
859	#3311	—	17	1	no	—
860	#3311	D₁₇	1	1	yes	characteristic, complemented
861	#3310	—	17	1	no	—
862	#3310	—	17	1	no	—
863	#3304	—	17	1	no	—
864	#3304	—	17	1	no	—
865	#3300	—	17	1	no	—
866	#3300	—	17	1	no	—
867	#3296	—	17	1	no	—
868	#3296	—	17	1	no	—
869	#3295	—	17	1	no	—
870	#3295	—	17	1	no	—
871	#3136	—	17	1	no	—
872	#3099	—	17	1	no	—
873	#3094	—	17	1	no	—
874	#3084	—	17	1	no	—
875	#3063	—	17	1	no	—
876	C₂×#465	—	17	1	no	—
877	#3043	—	17	1	no	—
878	#3009	—	17	1	no	—
879	#3007	—	17	1	no	—
880	#2947	—	17	1	no	—
881	#2929	—	17	1	no	—
882	#2897	—	17	1	no	—
883	C₂×#416	—	17	1	no	—
884	C₂²×C₁₇	—	2	1	no	—
885	C₂²×C₁₇	—	2	1	no	—
886	C₂²×C₁₇	—	2	2	no	—
887	C₂²×C₁₇	—	2	1	no	—
888	C₂²×C₁₇	—	2	1	no	—
889	C₂²×C₁₇	—	2	1	no	—
890	C₂²×C₁₇	—	2	1	no	—
891	C₂²×C₁₇	—	4	1	no	—
892	C₂²×C₁₇	—	4	1	no	—
893	C₂²×C₁₇	—	4	1	no	—
894	C₂²×C₁₇	—	4	1	no	—
895	C₂²×C₁₇	—	4	1	no	—
896	C₂²×C₁₇	—	16	2	no	—
897	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
898	C₂×D₁₇	—	2	1	no	—
899	C₂×D₁₇	—	2	1	no	—
900	C₂×D₁₇	—	2	1	no	—
901	C₂×D₁₇	—	2	1	no	—
902	C₂×D₁₇	—	2	1	no	—
903	C₂×D₁₇	—	2	1	no	—
904	C₂×D₁₇	—	2	1	no	—
905	C₂×D₁₇	—	4	4	no	—
906	C₂×D₁₇	—	4	1	no	—
907	C₂×D₁₇	—	4	1	no	—
908	C₂×D₁₇	—	4	1	no	—
909	C₂×D₁₇	—	4	1	no	—
910	C₂×D₁₇	—	4	1	no	—
911	C₂×D₁₇	—	4	1	no	—
912	C₂×D₁₇	—	8	4	no	—
913	C₂×D₁₇	—	16	2	no	—
914	C₂×D₁₇	—	16	2	no	—
915	C₂×D₁₇	#546	1	2	yes	—
916	C₂×D₁₇	#577	1	2	yes	—
917	C₄×C₁₇	—	2	1	no	—
918	C₄×C₁₇	—	2	1	no	—
919	C₄×C₁₇	—	2	1	no	—
920	C₄×C₁₇	—	2	1	no	—
921	C₄×C₁₇	—	4	1	no	—
922	C₄×C₁₇	—	4	1	no	—
923	C₄×C₁₇	—	4	1	no	—
924	C₄×C₁₇	—	4	1	no	—
925	C₄×C₁₇	—	4	1	no	—
926	C₄×C₁₇	—	4	1	no	—
927	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
928	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
929	Dic₁₇	—	2	1	no	—
930	Dic₁₇	—	2	1	no	—
931	Dic₁₇	—	2	2	no	—
932	Dic₁₇	—	2	1	no	—
933	Dic₁₇	—	2	1	no	—
934	Dic₁₇	—	4	1	no	—
935	Dic₁₇	—	4	1	no	—
936	Dic₁₇	—	4	1	no	—
937	Dic₁₇	—	4	1	no	—
938	Dic₁₇	—	4	1	no	—
939	Dic₁₇	#546	1	2	yes	—
940	C₂×H(5,𝔽₂)	—	17	1	no	—
941	C₂²×#41	—	17	1	no	—
942	C₂×#137	—	17	1	no	—
943	C₂×#137	—	17	1	no	—
944	C₂²×SD₁₆	—	17	1	no	—
945	C₂×#131	—	17	1	no	—
946	C₂³×C₈	—	17	1	no	—
947	#556	—	17	1	no	—
948	#556	C₂×D₁₇	1	1	yes	characteristic, complemented
949	#554	—	17	1	no	—
950	#554	—	17	1	no	—
951	#552	—	17	1	no	—
952	#552	—	17	1	no	—
953	#552	—	17	1	no	—
954	#552	—	17	1	no	—
955	#552	—	34	1	no	—
956	#552	—	34	1	no	—
957	#551	—	34	1	no	—
958	#551	—	34	1	no	—
959	#550	—	17	1	no	—
960	#550	—	17	1	no	—
961	#548	—	17	1	no	—
962	#548	—	17	1	no	—
963	#546	—	17	1	no	—
964	#546	—	34	1	no	—
965	#546	—	34	1	no	—
966	#546	C₂×D₁₇	1	1	yes	characteristic
967	D₄²	—	17	1	no	—
968	D₄²	—	17	1	no	—
969	D₄²	—	34	1	no	—
970	D₄²	—	34	1	no	—
971	#544	—	17	1	no	—
972	#542	—	34	1	no	—
973	#541	—	34	1	no	—
974	#537	—	17	1	no	—
975	#537	—	34	1	no	—
976	#536	—	17	1	no	—
977	#535	—	17	1	no	—
978	#535	—	34	1	no	—
979	#533	—	34	1	no	—
980	#529	—	34	1	no	—
981	#525	—	17	1	no	—
982	#525	—	34	1	no	—
983	C₂×C₂²⋊Q₈	—	17	1	no	—
984	C₂×#121	—	17	1	no	—
985	C₂×#121	—	34	1	no	—
986	#520	—	17	1	no	—
987	#520	—	17	1	no	—
988	#519	—	17	1	no	—
989	C₂×#117	—	17	1	no	—
990	#490	—	17	1	no	—
991	#490	—	17	1	no	—
992	#489	—	17	1	no	—
993	#489	C₂×D₁₇	1	1	yes	characteristic, complemented
994	#488	—	17	1	no	—
995	#488	—	17	1	no	—
996	#486	—	17	1	no	—
997	#486	—	17	1	no	—
998	#485	—	17	1	no	—
999	#485	C₂×D₁₇	1	1	yes	characteristic, complemented
1000	#483	—	17	1	no	—
1001	#483	—	17	1	no	—
1002	#482	—	17	1	no	—
1003	#482	—	17	1	no	—
1004	#482	—	17	1	no	—
1005	#482	—	17	1	no	—
1006	#482	—	17	1	no	—
1007	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
1008	#481	—	17	1	no	—
1009	#481	—	17	1	no	—
1010	#481	—	17	1	no	—
1011	#481	—	17	1	no	—
1012	#480	—	17	1	no	—
1013	#480	—	17	1	no	—
1014	#479	—	17	1	no	—
1015	#479	—	17	1	no	—
1016	#478	—	17	1	no	—
1017	#478	—	17	1	no	—
1018	#476	—	17	1	no	—
1019	#476	C₂×D₁₇	1	1	yes	characteristic, complemented
1020	#475	—	17	1	no	—
1021	#475	—	17	1	no	—
1022	#470	—	17	1	no	—
1023	#470	C₂×D₁₇	1	1	yes	characteristic, complemented
1024	#468	—	17	1	no	—
1025	#468	—	17	1	no	—
1026	#467	—	17	1	no	—
1027	#467	—	17	1	no	—
1028	#465	—	17	1	no	—
1029	#465	—	17	1	no	—
1030	#465	—	17	1	no	—
1031	#465	—	17	1	no	—
1032	#465	—	17	1	no	—
1033	#465	—	17	1	no	—
1034	#465	—	17	1	no	—
1035	#465	—	17	1	no	—
1036	#465	—	17	1	no	—
1037	#465	C₂×D₁₇	1	1	yes	characteristic, complemented
1038	#464	—	17	1	no	—
1039	#464	—	17	1	no	—
1040	#464	—	17	1	no	—
1041	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1042	#460	—	17	1	no	—
1043	#460	—	17	1	no	—
1044	#460	—	17	1	no	—
1045	#460	—	17	1	no	—
1046	#452	—	17	1	no	—
1047	#452	—	17	1	no	—
1048	#452	—	17	1	no	—
1049	#452	—	17	1	no	—
1050	#452	—	17	1	no	—
1051	#452	—	17	1	no	—
1052	#452	—	17	1	no	—
1053	#452	C₂×D₁₇	1	1	yes	characteristic, complemented
1054	#451	—	17	1	no	—
1055	#451	—	17	1	no	—
1056	#450	—	17	1	no	—
1057	#450	—	17	1	no	—
1058	#450	—	17	1	no	—
1059	#450	—	17	1	no	—
1060	#450	—	17	1	no	—
1061	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1062	#441	—	17	1	no	—
1063	#441	—	17	1	no	—
1064	#440	—	17	1	no	—
1065	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1066	C₄×Q₁₆	—	17	1	no	—
1067	C₄×Q₁₆	—	17	1	no	—
1068	C₄×SD₁₆	—	17	1	no	—
1069	C₄×SD₁₆	—	17	1	no	—
1070	#435	—	17	1	no	—
1071	#435	—	17	1	no	—
1072	#435	—	17	1	no	—
1073	#435	C₂×D₁₇	1	1	yes	characteristic, complemented
1074	C₈×D₄	—	17	1	no	—
1075	C₈×D₄	—	17	1	no	—
1076	C₈×D₄	—	17	1	no	—
1077	C₈×D₄	—	17	1	no	—
1078	#428	—	17	1	no	—
1079	#428	—	17	1	no	—
1080	C₂×#106	—	17	1	no	—
1081	#424	—	17	1	no	—
1082	#418	—	17	1	no	—
1083	#418	—	17	1	no	—
1084	#418	—	17	1	no	—
1085	#418	C₂×D₁₇	1	1	yes	characteristic, complemented
1086	#417	—	17	1	no	—
1087	#417	—	17	1	no	—
1088	#417	—	17	1	no	—
1089	#417	—	17	1	no	—
1090	#416	—	17	1	no	—
1091	#416	—	17	1	no	—
1092	#416	—	17	1	no	—
1093	#416	—	17	1	no	—
1094	#416	—	17	1	no	—
1095	#416	—	17	1	no	—
1096	#416	—	17	1	no	—
1097	#416	—	17	1	no	—
1098	#416	—	17	1	no	—
1099	#416	C₂×D₁₇	1	1	yes	characteristic, complemented
1100	C₂×#103	—	17	1	no	—
1101	C₂×#103	—	17	1	no	—
1102	C₂×#103	—	17	1	no	—
1103	C₂×#102	—	17	1	no	—
1104	C₂×#102	—	17	1	no	—
1105	C₂×#102	—	17	1	no	—
1106	C₂×#102	—	17	1	no	—
1107	C₂×#102	—	17	1	no	—
1108	#408	—	17	1	no	—
1109	#407	—	17	1	no	—
1110	#405	—	17	1	no	—
1111	C₂×C₁₇	—	4	1	no	—
1112	C₂×C₁₇	—	4	2	no	—
1113	C₂×C₁₇	—	4	1	no	—
1114	C₂×C₁₇	—	8	1	no	—
1115	C₂×C₁₇	C₂×#546	1	1	yes	characteristic
1116	C₂×C₁₇	C₂×#577	1	1	yes	characteristic
1117	C₂×C₁₇	#3584	1	1	yes	characteristic
1118	D₁₇	—	2	2	no	—
1119	D₁₇	—	2	2	no	—
1120	D₁₇	—	4	1	no	—
1121	D₁₇	—	8	1	no	—
1122	D₁₇	—	8	1	no	—
1123	H(5,𝔽₂)	—	34	4	no	—
1124	H(5,𝔽₂)	—	68	2	no	—
1125	C₂×#41	—	17	1	no	—
1126	C₂×#41	—	17	1	no	—
1127	C₂×#41	—	17	1	no	—
1128	C₂×#41	—	17	1	no	—
1129	C₂×#41	—	17	1	no	—
1130	C₂×#41	—	17	1	no	—
1131	C₂×#41	—	34	1	no	—
1132	C₂×#41	—	34	1	no	—
1133	C₂×#41	—	34	1	no	—
1134	C₂×#41	—	34	4	no	—
1135	C₂×#41	—	68	2	no	—
1136	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1137	C₂²×Q₈	—	17	1	no	—
1138	C₂²×Q₈	—	17	1	no	—
1139	C₂²×D₄	—	17	1	no	—
1140	C₂²×D₄	—	17	1	no	—
1141	C₂²×D₄	—	17	1	no	—
1142	C₂²×D₄	—	34	1	no	—
1143	C₂²×D₄	—	34	1	no	—
1144	C₂²×D₄	—	34	1	no	—
1145	C₂²×D₄	—	34	1	no	—
1146	C₂²×D₄	—	34	1	no	—
1147	C₂²×D₄	—	34	1	no	—
1148	C₂²×D₄	—	34	1	no	—
1149	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1150	C₂³×C₄	—	17	1	no	—
1151	C₂³×C₄	—	34	1	no	—
1152	#137	—	34	4	no	—
1153	#137	—	68	2	no	—
1154	C₂×Q₁₆	—	17	1	no	—
1155	C₂×Q₁₆	—	17	1	no	—
1156	C₂×Q₁₆	—	17	1	no	—
1157	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic
1158	C₂×SD₁₆	—	17	1	no	—
1159	C₂×SD₁₆	—	17	1	no	—
1160	C₂×SD₁₆	—	17	1	no	—
1161	C₂×SD₁₆	—	17	1	no	—
1162	C₂×SD₁₆	—	17	1	no	—
1163	C₂×SD₁₆	—	17	1	no	—
1164	C₂×SD₁₆	—	68	2	no	—
1165	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1166	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1167	#131	—	68	2	no	—
1168	C₂×M₁₆	—	17	1	no	—
1169	C₂×M₁₆	—	17	1	no	—
1170	C₂×M₁₆	—	17	1	no	—
1171	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic
1172	C₂²×C₈	—	17	1	no	—
1173	C₂²×C₈	—	17	1	no	—
1174	C₂²×C₈	—	17	1	no	—
1175	C₂²×C₈	—	17	1	no	—
1176	C₂²×C₈	—	17	1	no	—
1177	C₂²×C₈	—	17	1	no	—
1178	C₂²×C₈	—	17	1	no	—
1179	C₂²×C₈	—	68	2	no	—
1180	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1181	C₄⋊Q₈	—	17	1	no	—
1182	C₄⋊Q₈	—	34	1	no	—
1183	C₄⋊Q₈	—	34	1	no	—
1184	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1185	#127	—	17	1	no	—
1186	#127	—	17	1	no	—
1187	#127	—	34	1	no	—
1188	#127	—	34	1	no	—
1189	#126	—	2	1	no	—
1190	#126	—	2	1	no	—
1191	#126	—	34	1	no	—
1192	#126	—	34	1	no	—
1193	#126	—	34	1	no	—
1194	#126	—	34	1	no	—
1195	#126	—	34	1	no	—
1196	#126	—	34	1	no	—
1197	#125	—	17	1	no	—
1198	#125	—	17	1	no	—
1199	#125	—	34	1	no	—
1200	#125	—	34	1	no	—
1201	#125	—	34	1	no	—
1202	#125	—	34	1	no	—
1203	#125	—	34	1	no	—
1204	#125	—	34	1	no	—
1205	#125	—	34	1	no	—
1206	#124	—	2	1	no	—
1207	#124	—	17	1	no	—
1208	#124	—	34	1	no	—
1209	#124	—	34	1	no	—
1210	#124	—	34	1	no	—
1211	#124	—	34	1	no	—
1212	#124	C₂²×D₁₇	1	1	yes	characteristic
1213	#123	—	2	1	no	—
1214	#123	—	17	1	no	—
1215	#123	—	17	1	no	—
1216	#123	—	34	1	no	—
1217	#123	—	34	1	no	—
1218	#123	—	34	1	no	—
1219	#123	—	34	1	no	—
1220	#123	—	34	1	no	—
1221	#123	—	34	1	no	—
1222	#123	—	34	1	no	—
1223	C₂²⋊Q₈	—	17	1	no	—
1224	C₂²⋊Q₈	—	17	1	no	—
1225	C₂²⋊Q₈	—	17	1	no	—
1226	C₂²⋊Q₈	—	17	1	no	—
1227	C₂²⋊Q₈	—	17	1	no	—
1228	C₂²⋊Q₈	—	17	1	no	—
1229	C₂²⋊Q₈	—	17	1	no	—
1230	C₂²⋊Q₈	—	17	1	no	—
1231	C₂²⋊Q₈	—	17	1	no	—
1232	C₂²⋊Q₈	—	34	1	no	—
1233	C₂²⋊Q₈	—	34	1	no	—
1234	C₂²⋊Q₈	—	34	1	no	—
1235	C₂²⋊Q₈	—	34	1	no	—
1236	C₂²⋊Q₈	—	34	1	no	—
1237	C₂²⋊Q₈	—	34	1	no	—
1238	C₂²⋊Q₈	—	34	1	no	—
1239	C₂²⋊Q₈	—	34	1	no	—
1240	C₂²⋊Q₈	—	34	1	no	—
1241	C₂²⋊Q₈	—	34	1	no	—
1242	C₂²⋊Q₈	—	34	1	no	—
1243	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1244	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1245	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1246	#121	—	2	1	no	—
1247	#121	—	17	1	no	—
1248	#121	—	17	1	no	—
1249	#121	—	17	1	no	—
1250	#121	—	17	1	no	—
1251	#121	—	17	1	no	—
1252	#121	—	17	1	no	—
1253	#121	—	17	1	no	—
1254	#121	—	34	1	no	—
1255	#121	—	34	1	no	—
1256	#121	—	34	1	no	—
1257	#121	—	34	1	no	—
1258	#121	—	34	1	no	—
1259	#121	—	34	1	no	—
1260	#121	—	34	1	no	—
1261	#121	—	34	1	no	—
1262	#121	—	34	1	no	—
1263	#121	—	34	1	no	—
1264	#121	—	34	1	no	—
1265	#121	—	34	1	no	—
1266	#121	—	34	1	no	—
1267	#121	—	34	1	no	—
1268	#121	—	34	1	no	—
1269	#121	—	34	1	no	—
1270	#121	C₂²×D₁₇	1	1	yes	characteristic
1271	#120	—	2	1	no	—
1272	#120	—	17	1	no	—
1273	#120	—	17	1	no	—
1274	#120	—	34	1	no	—
1275	#120	—	34	1	no	—
1276	#120	—	34	1	no	—
1277	#120	—	34	1	no	—
1278	#120	—	34	1	no	—
1279	#120	—	34	1	no	—
1280	#120	—	34	1	no	—
1281	C₄×Q₈	—	2	1	no	—
1282	C₄×Q₈	—	17	1	no	—
1283	C₄×Q₈	—	17	1	no	—
1284	C₄×Q₈	—	17	1	no	—
1285	C₄×Q₈	—	17	1	no	—
1286	C₄×Q₈	—	17	1	no	—
1287	C₄×Q₈	—	34	1	no	—
1288	C₄×Q₈	—	34	1	no	—
1289	C₄×Q₈	—	34	1	no	—
1290	C₄×Q₈	—	34	1	no	—
1291	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1292	C₄×D₄	—	17	1	no	—
1293	C₄×D₄	—	17	1	no	—
1294	C₄×D₄	—	17	1	no	—
1295	C₄×D₄	—	17	1	no	—
1296	C₄×D₄	—	34	1	no	—
1297	C₄×D₄	—	34	1	no	—
1298	C₄×D₄	—	34	1	no	—
1299	C₄×D₄	—	34	1	no	—
1300	C₄×D₄	—	34	1	no	—
1301	C₄×D₄	—	34	1	no	—
1302	C₄×D₄	—	34	1	no	—
1303	C₄×D₄	—	34	1	no	—
1304	C₄×D₄	—	34	1	no	—
1305	C₄×D₄	—	34	1	no	—
1306	C₄×D₄	—	34	1	no	—
1307	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1308	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1309	#117	—	17	1	no	—
1310	#117	—	17	1	no	—
1311	#117	—	17	1	no	—
1312	#117	—	17	1	no	—
1313	#117	—	17	1	no	—
1314	#117	—	34	1	no	—
1315	#117	—	34	1	no	—
1316	#117	—	34	1	no	—
1317	#117	—	34	1	no	—
1318	#117	—	34	1	no	—
1319	#117	—	34	1	no	—
1320	#117	—	34	1	no	—
1321	#117	—	34	1	no	—
1322	#117	—	34	1	no	—
1323	#117	C₂²×D₁₇	1	1	yes	characteristic
1324	#117	C₂²×D₁₇	1	1	yes	characteristic
1325	C₂×C₄⋊C₄	—	17	1	no	—
1326	C₂×C₄⋊C₄	—	17	1	no	—
1327	C₂×C₄⋊C₄	—	17	1	no	—
1328	C₂×C₄⋊C₄	—	17	1	no	—
1329	C₂×C₄⋊C₄	—	17	1	no	—
1330	C₂×C₄⋊C₄	—	17	1	no	—
1331	C₂×C₄⋊C₄	—	34	1	no	—
1332	C₂×C₄⋊C₄	—	34	1	no	—
1333	C₂×C₂²⋊C₄	—	2	1	no	—
1334	C₂×C₂²⋊C₄	—	34	1	no	—
1335	C₂×C₂²⋊C₄	—	34	1	no	—
1336	C₂×C₂²⋊C₄	—	34	1	no	—
1337	C₂×C₂²⋊C₄	—	34	1	no	—
1338	C₂×C₄²	—	34	1	no	—
1339	#107	—	17	1	no	—
1340	#107	—	17	1	no	—
1341	#107	—	17	1	no	—
1342	#107	C₂²×D₁₇	1	1	yes	characteristic
1343	#106	—	17	1	no	—
1344	#106	—	17	1	no	—
1345	#106	—	17	1	no	—
1346	#106	—	17	1	no	—
1347	#106	—	17	1	no	—
1348	#106	—	17	1	no	—
1349	#106	C₂²×D₁₇	1	1	yes	characteristic
1350	#106	C₂²×D₁₇	1	1	yes	characteristic
1351	C₄⋊C₈	—	17	1	no	—
1352	C₄⋊C₈	—	17	1	no	—
1353	C₄⋊C₈	—	17	1	no	—
1354	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1355	#103	—	17	1	no	—
1356	#103	—	17	1	no	—
1357	#103	—	17	1	no	—
1358	#103	—	17	1	no	—
1359	#103	—	17	1	no	—
1360	#103	—	17	1	no	—
1361	#103	—	17	1	no	—
1362	#103	—	17	1	no	—
1363	#103	—	17	1	no	—
1364	#103	—	17	1	no	—
1365	#103	—	17	1	no	—
1366	#103	—	17	1	no	—
1367	#103	C₂²×D₁₇	1	1	yes	characteristic
1368	#103	C₂²×D₁₇	1	1	yes	characteristic
1369	#103	C₂²×D₁₇	1	1	yes	characteristic
1370	#103	C₂²×D₁₇	1	1	yes	characteristic
1371	#102	—	17	1	no	—
1372	#102	—	17	1	no	—
1373	#102	—	17	1	no	—
1374	#102	—	17	1	no	—
1375	#102	—	17	1	no	—
1376	#102	—	17	1	no	—
1377	#102	—	17	1	no	—
1378	#102	—	17	1	no	—
1379	#102	—	17	1	no	—
1380	#102	—	17	1	no	—
1381	#102	—	17	1	no	—
1382	#102	—	17	1	no	—
1383	#102	—	17	1	no	—
1384	#102	—	17	1	no	—
1385	#102	—	17	1	no	—
1386	#102	—	17	1	no	—
1387	#102	—	17	1	no	—
1388	#102	—	17	1	no	—
1389	#102	C₂²×D₁₇	1	1	yes	characteristic
1390	#102	C₂²×D₁₇	1	1	yes	characteristic
1391	#102	C₂²×D₁₇	1	1	yes	characteristic
1392	#102	C₂²×D₁₇	1	1	yes	characteristic
1393	#102	C₂²×D₁₇	1	1	yes	characteristic
1394	#102	C₂²×D₁₇	1	1	yes	characteristic
1395	C₂²⋊C₈	—	17	1	no	—
1396	C₂²⋊C₈	—	17	1	no	—
1397	C₂²⋊C₈	—	17	1	no	—
1398	C₂²⋊C₈	—	17	1	no	—
1399	C₂²⋊C₈	—	17	1	no	—
1400	C₂²⋊C₈	—	17	1	no	—
1401	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1402	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1403	#97	—	17	1	no	—
1404	#97	C₂²×D₁₇	1	1	yes	characteristic
1405	C₄×C₈	—	17	1	no	—
1406	C₄×C₈	—	17	1	no	—
1407	C₁₇	#61172	1	1	yes	characteristic, complemented, Sylow
1408	C₂⁴	—	2	1	no	—
1409	C₂⁴	—	17	1	no	—
1410	C₂⁴	—	34	1	no	—
1411	C₂⁴	—	34	1	no	—
1412	C₂⁴	—	34	1	no	—
1413	#41	—	2	2	no	—
1414	#41	—	4	1	no	—
1415	#41	—	17	4	no	—
1416	#41	—	34	2	no	—
1417	#41	—	34	2	no	—
1418	#41	—	34	2	no	—
1419	#41	—	34	2	no	—
1420	#41	—	34	2	no	—
1421	#41	—	34	2	no	—
1422	#41	—	34	2	no	—
1423	#41	—	34	2	no	—
1424	#41	—	68	1	no	—
1425	#41	—	68	1	no	—
1426	#41	—	68	4	no	—
1427	#41	—	68	4	no	—
1428	#41	—	68	1	no	—
1429	#41	—	68	4	no	—
1430	C₂×Q₈	—	2	1	no	—
1431	C₂×Q₈	—	17	1	no	—
1432	C₂×Q₈	—	17	1	no	—
1433	C₂×Q₈	—	17	1	no	—
1434	C₂×Q₈	—	34	1	no	—
1435	C₂×Q₈	—	34	1	no	—
1436	C₂×Q₈	—	34	1	no	—
1437	C₂×Q₈	—	34	2	no	—
1438	C₂×Q₈	—	34	2	no	—
1439	C₂×Q₈	—	34	2	no	—
1440	C₂×Q₈	—	68	1	no	—
1441	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1442	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1443	C₂×D₄	—	2	2	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	4	1	no	—
1448	C₂×D₄	—	17	1	no	—
1449	C₂×D₄	—	17	1	no	—
1450	C₂×D₄	—	17	1	no	—
1451	C₂×D₄	—	17	1	no	—
1452	C₂×D₄	—	17	1	no	—
1453	C₂×D₄	—	17	1	no	—
1454	C₂×D₄	—	17	1	no	—
1455	C₂×D₄	—	17	1	no	—
1456	C₂×D₄	—	34	1	no	—
1457	C₂×D₄	—	34	1	no	—
1458	C₂×D₄	—	34	1	no	—
1459	C₂×D₄	—	34	2	no	—
1460	C₂×D₄	—	34	2	no	—
1461	C₂×D₄	—	34	1	no	—
1462	C₂×D₄	—	34	1	no	—
1463	C₂×D₄	—	34	1	no	—
1464	C₂×D₄	—	34	1	no	—
1465	C₂×D₄	—	34	1	no	—
1466	C₂×D₄	—	34	1	no	—
1467	C₂×D₄	—	34	2	no	—
1468	C₂×D₄	—	34	2	no	—
1469	C₂×D₄	—	34	1	no	—
1470	C₂×D₄	—	34	1	no	—
1471	C₂×D₄	—	34	1	no	—
1472	C₂×D₄	—	34	1	no	—
1473	C₂×D₄	—	34	1	no	—
1474	C₂×D₄	—	34	1	no	—
1475	C₂×D₄	—	34	1	no	—
1476	C₂×D₄	—	34	1	no	—
1477	C₂×D₄	—	68	1	no	—
1478	C₂×D₄	—	68	1	no	—
1479	C₂×D₄	—	68	4	no	—
1480	C₂×D₄	—	68	4	no	—
1481	C₂×D₄	—	68	4	no	—
1482	C₂×D₄	—	68	4	no	—
1483	C₂×D₄	—	136	2	no	—
1484	C₂×D₄	—	136	2	no	—
1485	C₂×D₄	—	136	2	no	—
1486	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1487	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1488	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	17	1	no	—
1492	C₂²×C₄	—	17	1	no	—
1493	C₂²×C₄	—	17	1	no	—
1494	C₂²×C₄	—	17	1	no	—
1495	C₂²×C₄	—	17	1	no	—
1496	C₂²×C₄	—	17	1	no	—
1497	C₂²×C₄	—	34	2	no	—
1498	C₂²×C₄	—	34	2	no	—
1499	C₂²×C₄	—	34	1	no	—
1500	C₂²×C₄	—	34	1	no	—
1501	C₂²×C₄	—	34	1	no	—
1502	C₂²×C₄	—	34	1	no	—
1503	C₂²×C₄	—	34	1	no	—
1504	C₂²×C₄	—	34	1	no	—
1505	C₂²×C₄	—	34	1	no	—
1506	C₂²×C₄	—	34	1	no	—
1507	C₂²×C₄	—	34	1	no	—
1508	C₂²×C₄	—	34	1	no	—
1509	C₂²×C₄	—	34	1	no	—
1510	C₂²×C₄	—	34	1	no	—
1511	C₂²×C₄	—	34	1	no	—
1512	C₂²×C₄	—	34	1	no	—
1513	C₂²×C₄	—	68	4	no	—
1514	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1516	Q₁₆	—	4	1	no	—
1517	Q₁₆	—	34	2	no	—
1518	Q₁₆	—	34	2	no	—
1519	Q₁₆	—	68	1	no	—
1520	SD₁₆	—	2	2	no	—
1521	SD₁₆	—	4	1	no	—
1522	SD₁₆	—	34	2	no	—
1523	SD₁₆	—	68	1	no	—
1524	SD₁₆	—	68	1	no	—
1525	SD₁₆	—	68	1	no	—
1526	SD₁₆	—	68	1	no	—
1527	SD₁₆	—	68	1	no	—
1528	M₁₆	—	4	1	no	—
1529	M₁₆	—	34	2	no	—
1530	M₁₆	—	34	2	no	—
1531	M₁₆	—	68	1	no	—
1532	C₂×C₈	—	4	1	no	—
1533	C₂×C₈	—	17	1	no	—
1534	C₂×C₈	—	17	1	no	—
1535	C₂×C₈	—	17	1	no	—
1536	C₂×C₈	—	17	1	no	—
1537	C₂×C₈	—	34	2	no	—
1538	C₂×C₈	—	34	2	no	—
1539	C₂×C₈	—	68	1	no	—
1540	C₂×C₈	—	68	1	no	—
1541	C₂×C₈	—	68	1	no	—
1542	C₂×C₈	—	68	1	no	—
1543	C₂×C₈	—	68	1	no	—
1544	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1545	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1546	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1547	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	17	1	no	—
1554	C₄⋊C₄	—	17	1	no	—
1555	C₄⋊C₄	—	17	1	no	—
1556	C₄⋊C₄	—	17	1	no	—
1557	C₄⋊C₄	—	17	1	no	—
1558	C₄⋊C₄	—	17	1	no	—
1559	C₄⋊C₄	—	17	1	no	—
1560	C₄⋊C₄	—	17	1	no	—
1561	C₄⋊C₄	—	17	1	no	—
1562	C₄⋊C₄	—	34	1	no	—
1563	C₄⋊C₄	—	34	1	no	—
1564	C₄⋊C₄	—	34	1	no	—
1565	C₄⋊C₄	—	34	1	no	—
1566	C₄⋊C₄	—	34	1	no	—
1567	C₄⋊C₄	—	34	1	no	—
1568	C₄⋊C₄	—	34	1	no	—
1569	C₄⋊C₄	—	34	1	no	—
1570	C₄⋊C₄	—	34	1	no	—
1571	C₄⋊C₄	—	34	1	no	—
1572	C₄⋊C₄	—	34	1	no	—
1573	C₄⋊C₄	—	34	1	no	—
1574	C₄⋊C₄	—	34	1	no	—
1575	C₄⋊C₄	—	34	1	no	—
1576	C₄⋊C₄	—	34	1	no	—
1577	C₄⋊C₄	—	34	1	no	—
1578	C₄⋊C₄	—	34	1	no	—
1579	C₄⋊C₄	—	34	1	no	—
1580	C₄⋊C₄	—	34	1	no	—
1581	C₄⋊C₄	—	34	1	no	—
1582	C₄⋊C₄	—	34	1	no	—
1583	C₄⋊C₄	—	34	1	no	—
1584	C₄⋊C₄	—	34	1	no	—
1585	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1586	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	17	1	no	—
1600	C₂²⋊C₄	—	17	1	no	—
1601	C₂²⋊C₄	—	17	1	no	—
1602	C₂²⋊C₄	—	17	1	no	—
1603	C₂²⋊C₄	—	17	1	no	—
1604	C₂²⋊C₄	—	17	1	no	—
1605	C₂²⋊C₄	—	17	1	no	—
1606	C₂²⋊C₄	—	17	1	no	—
1607	C₂²⋊C₄	—	34	1	no	—
1608	C₂²⋊C₄	—	34	1	no	—
1609	C₂²⋊C₄	—	34	1	no	—
1610	C₂²⋊C₄	—	34	1	no	—
1611	C₂²⋊C₄	—	34	1	no	—
1612	C₂²⋊C₄	—	34	1	no	—
1613	C₂²⋊C₄	—	34	1	no	—
1614	C₂²⋊C₄	—	34	1	no	—
1615	C₂²⋊C₄	—	34	1	no	—
1616	C₂²⋊C₄	—	34	1	no	—
1617	C₂²⋊C₄	—	34	1	no	—
1618	C₂²⋊C₄	—	34	1	no	—
1619	C₂²⋊C₄	—	34	1	no	—
1620	C₂²⋊C₄	—	34	1	no	—
1621	C₂²⋊C₄	—	34	1	no	—
1622	C₂²⋊C₄	—	34	1	no	—
1623	C₂²⋊C₄	—	34	1	no	—
1624	C₂²⋊C₄	—	34	1	no	—
1625	C₂²⋊C₄	—	34	1	no	—
1626	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1627	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1628	C₄²	—	2	1	no	—
1629	C₄²	—	2	1	no	—
1630	C₄²	—	2	1	no	—
1631	C₄²	—	17	1	no	—
1632	C₄²	—	34	1	no	—
1633	C₄²	—	34	1	no	—
1634	C₄²	—	34	1	no	—
1635	C₄²	—	34	1	no	—
1636	C₄²	—	34	1	no	—
1637	C₄²	—	34	1	no	—
1638	C₄²	—	34	1	no	—
1639	C₄²	—	34	1	no	—
1640	C₄²	—	34	1	no	—
1641	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	8	1	no	—
1646	C₂³	—	8	1	no	—
1647	C₂³	—	17	1	no	—
1648	C₂³	—	17	1	no	—
1649	C₂³	—	17	1	no	—
1650	C₂³	—	34	2	no	—
1651	C₂³	—	34	2	no	—
1652	C₂³	—	34	1	no	—
1653	C₂³	—	34	1	no	—
1654	C₂³	—	68	2	no	—
1655	C₂³	—	68	1	no	—
1656	C₂³	—	68	2	no	—
1657	C₂³	—	68	2	no	—
1658	C₂³	—	68	2	no	—
1659	C₂³	—	136	1	no	—
1660	C₂³	—	136	1	no	—
1661	C₂³	—	136	1	no	—
1662	C₂³	—	136	1	no	—
1663	C₂³	—	136	1	no	—
1664	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1665	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	8	1	no	—
1671	Q₈	—	17	2	no	—
1672	Q₈	—	34	2	no	—
1673	Q₈	—	34	1	no	—
1674	Q₈	—	34	1	no	—
1675	Q₈	—	34	1	no	—
1676	Q₈	—	68	2	no	—
1677	Q₈	—	68	2	no	—
1678	Q₈	—	136	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	1	no	—
1683	D₄	—	4	2	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	34	2	no	—
1687	D₄	—	34	2	no	—
1688	D₄	—	34	2	no	—
1689	D₄	—	34	2	no	—
1690	D₄	—	34	2	no	—
1691	D₄	—	34	4	no	—
1692	D₄	—	34	1	no	—
1693	D₄	—	34	1	no	—
1694	D₄	—	34	1	no	—
1695	D₄	—	34	1	no	—
1696	D₄	—	68	2	no	—
1697	D₄	—	68	2	no	—
1698	D₄	—	68	2	no	—
1699	D₄	—	68	1	no	—
1700	D₄	—	68	2	no	—
1701	D₄	—	68	2	no	—
1702	D₄	—	68	2	no	—
1703	D₄	—	68	2	no	—
1704	D₄	—	68	2	no	—
1705	D₄	—	68	2	no	—
1706	D₄	—	136	1	no	—
1707	D₄	—	136	1	no	—
1708	D₄	—	136	1	no	—
1709	D₄	—	136	1	no	—
1710	D₄	—	136	1	no	—
1711	D₄	—	136	1	no	—
1712	D₄	—	136	1	no	—
1713	D₄	#41×D₁₇	1	2	yes	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	4	2	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	17	1	no	—
1727	C₂×C₄	—	17	2	no	—
1728	C₂×C₄	—	17	2	no	—
1729	C₂×C₄	—	17	1	no	—
1730	C₂×C₄	—	17	1	no	—
1731	C₂×C₄	—	17	1	no	—
1732	C₂×C₄	—	17	1	no	—
1733	C₂×C₄	—	34	2	no	—
1734	C₂×C₄	—	34	2	no	—
1735	C₂×C₄	—	34	2	no	—
1736	C₂×C₄	—	34	4	no	—
1737	C₂×C₄	—	34	1	no	—
1738	C₂×C₄	—	34	1	no	—
1739	C₂×C₄	—	34	1	no	—
1740	C₂×C₄	—	34	1	no	—
1741	C₂×C₄	—	34	1	no	—
1742	C₂×C₄	—	34	1	no	—
1743	C₂×C₄	—	34	1	no	—
1744	C₂×C₄	—	34	1	no	—
1745	C₂×C₄	—	34	1	no	—
1746	C₂×C₄	—	34	1	no	—
1747	C₂×C₄	—	68	2	no	—
1748	C₂×C₄	—	68	2	no	—
1749	C₂×C₄	—	68	2	no	—
1750	C₂×C₄	—	68	2	no	—
1751	C₂×C₄	—	68	2	no	—
1752	C₂×C₄	—	68	2	no	—
1753	C₂×C₄	—	68	2	no	—
1754	C₂×C₄	—	136	1	no	—
1755	C₂×C₄	—	136	1	no	—
1756	C₂×C₄	—	136	1	no	—
1757	C₂×C₄	—	136	1	no	—
1758	C₂×C₄	—	136	1	no	—
1759	C₂×C₄	—	136	1	no	—
1760	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1761	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1762	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1763	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1764	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	34	1	no	—
1770	C₈	—	34	1	no	—
1771	C₈	—	34	1	no	—
1772	C₈	—	34	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	2	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	16	2	no	—
1786	C₂²	—	272	2	no	—
1787	C₂²	—	272	2	no	—
1788	C₂²	—	17	2	no	—
1789	C₂²	—	17	2	no	—
1790	C₂²	—	34	1	no	—
1791	C₂²	—	34	1	no	—
1792	C₂²	—	34	1	no	—
1793	C₂²	—	34	1	no	—
1794	C₂²	—	34	1	no	—
1795	C₂²	—	34	1	no	—
1796	C₂²	—	34	1	no	—
1797	C₂²	—	68	4	no	—
1798	C₂²	—	68	1	no	—
1799	C₂²	—	68	1	no	—
1800	C₂²	—	68	1	no	—
1801	C₂²	—	68	1	no	—
1802	C₂²	—	68	1	no	—
1803	C₂²	—	68	1	no	—
1804	C₂²	—	136	4	no	—
1805	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	17	2	no	—
1817	C₄	—	34	1	no	—
1818	C₄	—	34	1	no	—
1819	C₄	—	34	2	no	—
1820	C₄	—	34	1	no	—
1821	C₄	—	34	1	no	—
1822	C₄	—	68	1	no	—
1823	C₄	—	68	1	no	—
1824	C₄	—	68	1	no	—
1825	C₄	—	68	1	no	—
1826	C₄	—	68	1	no	—
1827	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1828	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	2	no	—
1832	C₂	—	8	1	no	—
1833	C₂	—	34	2	no	—
1834	C₂	—	34	2	no	—
1835	C₂	—	68	1	no	—
1836	C₂	—	136	1	no	—
1837	C₂	—	136	1	no	—
1838	C₂	D₁₇×#546	1	1	yes	characteristic
1839	C₂	D₁₇×#577	1	1	yes	characteristic
1840	C₂	#14543557	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	C₁₇×#3311	C₂
socle	C₂²×C₁₇	C₂³×D₄
prime radical	#14542447	C₂
hypercenter	#3311	D₁₇
hypocenter	C₁₇	#61172
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3311

Complements

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

N	H ≅ G/N	type
1. #14542529	C₂	semidirect
3. #14540916	C₂	semidirect
4. #14540912	C₂	semidirect
5. #14540894	C₂	semidirect
6. #14540890	C₂	semidirect
7. #14540816	C₂	semidirect
8. #14540810	C₂	semidirect
9. #14540806	C₂	semidirect
10. #14540721	C₂	semidirect
11. #14540717	C₂	semidirect
12. #14540678	C₂	semidirect
13. #14540674	C₂	semidirect
14. #14540619	C₂	semidirect
15. #14540612	C₂	semidirect
16. #14540605	C₂	semidirect
17. #14540601	C₂	semidirect
18. #14539135	C₂	semidirect
19. #14538770	C₂	semidirect
20. #14538723	C₂	semidirect
21. #14538641	C₂	semidirect
22. #14538472	C₂	semidirect
23. D₁₇×#465	C₂	semidirect
24. #14538303	C₂	semidirect
25. #14538056	C₂	semidirect
26. #14538041	C₂	semidirect
27. #14537624	C₂	semidirect
28. #14537475	C₂	semidirect
29. #14537309	C₂	semidirect
30. D₁₇×#416	C₂	semidirect
31. C₁₇×#3311	C₂	semidirect
34. C₂×#10587604	C₂²	semidirect
36. C₂×SD₁₆×D₁₇	C₂²	semidirect
37. C₂×#10587593	C₂²	semidirect
38. C₂²×C₈×D₁₇	C₂²	semidirect
39. #11763527	C₂²	semidirect
40. #11763520	C₂²	semidirect
41. #11763517	C₂²	semidirect
43. #11763500	C₂²	semidirect
44. #11763499	C₂²	semidirect
45. #11763498	C₂²	semidirect
47. #11763493	C₂²	semidirect
61. #11763436	C₂²	semidirect
66. #11763382	C₂²	semidirect
73. C₂²⋊Q₈×D₁₇	C₂²	semidirect
76. #11763289	C₂²	semidirect
78. #11763285	C₂²	semidirect
79. #117×D₁₇	C₂²	semidirect
80. #11763174	C₂²	semidirect
81. #11763172	C₂²	semidirect
82. #11763170	C₂²	semidirect
83. #11763165	C₂²	semidirect
84. #11763163	C₂²	semidirect
85. #11763157	C₂²	semidirect
86. #11763154	C₂²	semidirect
87. #11763148	C₂²	semidirect
88. #11763138	C₂²	semidirect
89. #11763137	C₂²	semidirect
90. #11763136	C₂²	semidirect
91. #11763134	C₂²	semidirect
92. #11763133	C₂²	semidirect
93. #11763133	C₂²	semidirect
94. #11763130	C₂²	semidirect
95. #11763129	C₂²	semidirect
96. #11763129	C₂²	semidirect
97. #11763128	C₂²	semidirect
98. #11763126	C₂²	semidirect
99. #11763124	C₂²	semidirect
100. #11763121	C₂²	semidirect
101. #11763119	C₂²	semidirect
102. #11763117	C₂²	semidirect
103. #11763109	C₂²	semidirect
104. #11763107	C₂²	semidirect
105. #11763097	C₂²	semidirect
106. #11763093	C₂²	semidirect
107. #11763091	C₂²	semidirect
108. #11763066	C₂²	semidirect
109. #11763058	C₂²	semidirect
110. #11763055	C₂²	semidirect
111. #11763048	C₂²	semidirect
112. #11763047	C₂²	semidirect
113. #11763041	C₂²	semidirect
114. #11763040	C₂²	semidirect
115. #11763040	C₂²	semidirect
116. #11763039	C₂²	semidirect
117. #11763039	C₂²	semidirect
118. #11763038	C₂²	semidirect
119. #11763037	C₂²	semidirect
120. #11763036	C₂²	semidirect
121. #11763035	C₂²	semidirect
122. #11763034	C₂²	semidirect
123. #11763033	C₂²	semidirect
124. #11763028	C₂²	semidirect
125. #11763010	C₂²	semidirect
126. #11763009	C₂²	semidirect
127. #11763008	C₂²	semidirect
128. #11763007	C₂²	semidirect
129. #11762973	C₂²	semidirect
130. #11762973	C₂²	semidirect
131. #11762972	C₂²	semidirect
132. #11762971	C₂²	semidirect
133. #11762969	C₂²	semidirect
134. #11762969	C₂²	semidirect
135. #11762968	C₂²	semidirect
136. #11762966	C₂²	semidirect
137. #11762963	C₂²	semidirect
138. #11762961	C₂²	semidirect
139. #11762961	C₂²	semidirect
140. #11762960	C₂²	semidirect
141. #11762958	C₂²	semidirect
142. #11762958	C₂²	semidirect
143. #11762917	C₂²	semidirect
144. #11762913	C₂²	semidirect
145. #11762906	C₂²	semidirect
146. #11762903	C₂²	semidirect
147. C₄×#63231	C₂²	semidirect
148. SD₁₆×Dic₁₇	C₂²	semidirect
149. C₄×#63229	C₂²	semidirect
150. #11762882	C₂²	semidirect
151. #11762880	C₂²	semidirect
152. #11762878	C₂²	semidirect
153. D₄×#3622	C₂²	semidirect
154. #11762874	C₂²	semidirect
155. #11762872	C₂²	semidirect
156. #11762872	C₂²	semidirect
157. #11762850	C₂²	semidirect
158. #11762848	C₂²	semidirect
159. #106×D₁₇	C₂²	semidirect
160. #11762834	C₂²	semidirect
161. #11762812	C₂²	semidirect
162. #11762812	C₂²	semidirect
163. #11762812	C₂²	semidirect
164. #11762811	C₂²	semidirect
165. #11762809	C₂²	semidirect
167. #11762807	C₂²	semidirect
168. #11762806	C₂²	semidirect
169. #11762805	C₂²	semidirect
170. #11762804	C₂²	semidirect
171. #11762804	C₂²	semidirect
172. #11762803	C₂²	semidirect
173. #11762803	C₂²	semidirect
176. #11762802	C₂²	semidirect
177. #103×D₁₇	C₂²	semidirect
178. #103×D₁₇	C₂²	semidirect
179. #103×D₁₇	C₂²	semidirect
180. C₂×#10587503	C₂²	semidirect
181. #102×D₁₇	C₂²	semidirect
182. #102×D₁₇	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
184. #102×D₁₇	C₂²	semidirect
185. #11762774	C₂²	semidirect
186. #11762771	C₂²	semidirect
187. #11762766	C₂²	semidirect
188. C₁₇×#556	C₂²	semidirect
190. C₁₇×#489	C₂²	semidirect
191. C₁₇×#485	C₂²	semidirect
192. C₁₇×#482	C₂²	semidirect
193. C₁₇×#476	C₂²	semidirect
194. C₁₇×#470	C₂²	semidirect
195. C₁₇×#465	C₂²	semidirect
196. C₁₇×#464	C₂²	semidirect
197. C₁₇×#452	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₁₇×#440	C₂²	semidirect
200. C₁₇×#435	C₂²	semidirect
201. C₁₇×#418	C₂²	semidirect
202. C₁₇×#416	C₂²	semidirect
860. #3311	D₁₇	semidirect
948. #556	C₂×D₁₇	semidirect
993. #489	C₂×D₁₇	semidirect
999. #485	C₂×D₁₇	semidirect
1007. #482	C₂×D₁₇	semidirect
1019. #476	C₂×D₁₇	semidirect
1023. #470	C₂×D₁₇	semidirect
1037. #465	C₂×D₁₇	semidirect
1041. #464	C₂×D₁₇	semidirect
1053. #452	C₂×D₁₇	semidirect
1061. #450	C₂×D₁₇	semidirect
1065. #440	C₂×D₁₇	semidirect
1073. #435	C₂×D₁₇	semidirect
1085. #418	C₂×D₁₇	semidirect
1099. #416	C₂×D₁₇	semidirect
1407. C₁₇	#61172	semidirect

Maximal subgroups

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

subgroup	index
#14542529	2
#14542447	2
#14540916	2
#14540912	2
#14540894	2
#14540890	2
#14540816	2
#14540810	2
#14540806	2
#14540721	2
#14540717	2
#14540678	2
#14540674	2
#14540619	2
#14540612	2
#14540605	2
#14540601	2
#14539135	2
#14538770	2
#14538723	2
#14538641	2
#14538472	2
D₁₇×#465	2
#14538303	2
#14538056	2
#14538041	2
#14537624	2
#14537475	2
#14537309	2
D₁₇×#416	2
C₁₇×#3311	2
#61172	17