Subgroups — #17926563

Order 4352.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542739	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542390	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541793	C₂	1	1	yes	maximal, characteristic, complemented
4	#14541777	C₂	1	1	yes	maximal, characteristic, complemented
5	#14541441	C₂	1	1	yes	maximal, characteristic, complemented
6	#14541430	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540690	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540685	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540653	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540638	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540633	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540601	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540490	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540484	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540473	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540468	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540462	C₂	1	1	yes	maximal, characteristic, complemented
18	#14540454	C₂	1	1	yes	maximal, characteristic, complemented
19	#14540134	C₂	1	1	yes	maximal, characteristic, complemented
20	#14540131	C₂	1	1	yes	maximal, characteristic, complemented
21	#14540107	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539753	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539716	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538833	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538830	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538801	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538238	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11763021	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₇×#463	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537892	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3211	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587605	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10587602	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#63230	C₂²	1	1	yes	characteristic, complemented
35	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#63228	C₂²	1	1	yes	characteristic
37	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic
38	#11763541	C₂²	1	1	yes	characteristic, complemented
39	#11763541	C₂²	1	1	yes	characteristic, complemented
40	#11763528	C₂²	1	1	yes	characteristic, complemented
41	#11763521	—	2	1	no	—
42	#11763517	C₂²	1	1	yes	characteristic
43	#11763515	C₂²	1	1	yes	characteristic, complemented
44	#11763512	C₂²	1	1	yes	characteristic, complemented
45	#11763511	C₂²	1	1	yes	characteristic, complemented
46	#11763510	—	2	1	no	—
47	#11763489	—	2	1	no	—
48	#11763485	—	2	1	no	—
49	#11763484	—	2	1	no	—
50	#11763482	—	2	1	no	—
51	Q₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
52	#11763470	C₂²	1	1	yes	characteristic, complemented
53	#11763467	C₂²	1	1	yes	characteristic, complemented
54	#11763453	C₂²	1	1	yes	characteristic, complemented
55	#11763452	C₂²	1	1	yes	characteristic, complemented
56	#11763452	C₂²	1	1	yes	characteristic, complemented
57	#11763451	—	2	1	no	—
58	#11763450	C₂²	1	1	yes	characteristic, complemented
59	#11763449	—	2	1	no	—
60	#11763443	C₂²	1	1	yes	characteristic
61	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
62	#11763423	—	2	1	no	—
63	#11763397	—	2	1	no	—
64	#11763393	—	2	1	no	—
65	#11763358	C₂²	1	1	yes	characteristic, complemented
66	#11763356	C₂²	1	1	yes	characteristic, complemented
67	#11763346	C₂²	1	1	yes	characteristic, complemented
68	#11763343	C₂²	1	1	yes	characteristic, complemented
69	#11763338	C₂²	1	1	yes	characteristic, complemented
70	#11763338	C₂²	1	1	yes	characteristic, complemented
71	#11763337	—	2	1	no	—
72	#124×D₁₇	C₂²	1	1	yes	characteristic, complemented
73	#11763321	—	2	1	no	—
74	#11763318	—	2	1	no	—
75	#11763282	—	2	1	no	—
76	C₄×#63256	C₂²	1	1	yes	characteristic, complemented
77	C₄×#63252	C₂²	1	1	yes	characteristic
78	C₂×C₄×D₆₈	C₂²	1	1	yes	characteristic, complemented
79	C₄×D₄×D₁₇	—	2	1	no	—
80	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
81	#11763194	C₂²	1	1	yes	characteristic, complemented
82	#11763190	C₂²	1	1	yes	characteristic, complemented
83	#11763184	C₂²	1	1	yes	characteristic
84	#11763180	C₂²	1	1	yes	characteristic, complemented
85	#11763165	C₂²	1	1	yes	characteristic, complemented
86	#11763162	C₂²	1	1	yes	characteristic, complemented
87	#11763158	C₂²	1	1	yes	characteristic, complemented
88	#11763154	C₂²	1	1	yes	characteristic, complemented
89	#11763148	C₂²	1	1	yes	characteristic, complemented
90	#11763145	C₂²	1	1	yes	characteristic, complemented
91	#11763143	C₂²	1	1	yes	characteristic, complemented
92	#11763131	C₂²	1	1	yes	characteristic, complemented
93	#11763128	C₂²	1	1	yes	characteristic, complemented
94	#11763126	C₂²	1	1	yes	characteristic, complemented
95	#11763116	C₂²	1	1	yes	characteristic, complemented
96	#11763114	C₂²	1	1	yes	characteristic, complemented
97	#11763113	C₂²	1	1	yes	characteristic, complemented
98	#11763110	C₂²	1	1	yes	characteristic, complemented
99	#11763110	C₂²	1	1	yes	characteristic, complemented
100	#11763109	C₂²	1	1	yes	characteristic, complemented
101	#11763107	C₂²	1	1	yes	characteristic, complemented
102	#11763106	C₂²	1	1	yes	characteristic, complemented
103	#11763102	C₂²	1	1	yes	characteristic, complemented
104	#11763097	C₂²	1	1	yes	characteristic, complemented
105	#11763048	C₂²	1	1	yes	characteristic, complemented
106	#11763047	C₂²	1	1	yes	characteristic, complemented
107	#11763044	C₂²	1	1	yes	characteristic
108	#11763044	C₂²	1	1	yes	characteristic, complemented
109	#11763043	C₂²	1	1	yes	characteristic
110	#11763042	C₂²	1	1	yes	characteristic, complemented
111	#11763041	C₂²	1	1	yes	characteristic, complemented
112	#11763041	C₂²	1	1	yes	characteristic, complemented
113	#11763040	C₂²	1	1	yes	characteristic, complemented
114	#11763036	C₂²	1	1	yes	characteristic, complemented
115	#11763035	C₂²	1	1	yes	characteristic, complemented
116	#11763035	C₂²	1	1	yes	characteristic, complemented
117	#11763033	C₂²	1	1	yes	characteristic, complemented
118	#11763031	C₂²	1	1	yes	characteristic, complemented
119	#11763028	C₂²	1	1	yes	characteristic, complemented
120	#11763027	C₂²	1	1	yes	characteristic, complemented
121	#11763026	C₂²	1	1	yes	characteristic, complemented
122	#11763026	C₂²	1	1	yes	characteristic, complemented
123	#11763025	C₂²	1	1	yes	characteristic, complemented
124	#11763025	C₂²	1	1	yes	characteristic, complemented
125	#11763024	C₂²	1	1	yes	characteristic, complemented
126	#11763023	C₂²	1	1	yes	characteristic
127	#11763022	C₂²	1	1	yes	characteristic, complemented
128	#11763021	C₂²	1	1	yes	characteristic
129	#11763021	C₂²	1	1	yes	characteristic
130	#11763021	C₂²	1	1	yes	characteristic, complemented
131	#11763021	C₂²	1	1	yes	characteristic, complemented
132	#11763021	C₂²	1	1	yes	characteristic, complemented
133	#11763021	C₂²	1	1	yes	characteristic, complemented
134	#11763021	C₂²	1	1	yes	characteristic, complemented
135	#11763021	C₂²	1	1	yes	characteristic, complemented
136	#11763021	C₂²	1	1	yes	characteristic, complemented
137	#11763017	C₂²	1	1	yes	characteristic, complemented
138	#11763013	C₂²	1	1	yes	characteristic, complemented
139	#11763007	C₂²	1	1	yes	characteristic, complemented
140	#11763007	C₂²	1	1	yes	characteristic, complemented
141	#11763003	C₂²	1	1	yes	characteristic
142	#11763002	C₂²	1	1	yes	characteristic
143	#11762970	C₂²	1	1	yes	characteristic, complemented
144	#11762963	C₂²	1	1	yes	characteristic, complemented
145	#11762962	C₂²	1	1	yes	characteristic, complemented
146	#11762958	C₂²	1	1	yes	characteristic, complemented
147	#11762958	C₂²	1	1	yes	characteristic, complemented
148	#11762957	C₂²	1	1	yes	characteristic, complemented
149	#11762955	C₂²	1	1	yes	characteristic, complemented
150	#11762953	C₂²	1	1	yes	characteristic
151	#11762953	C₂²	1	1	yes	characteristic, complemented
152	#11762951	C₂²	1	1	yes	characteristic, complemented
153	#11762949	C₂²	1	1	yes	characteristic, complemented
154	#11762945	C₂²	1	1	yes	characteristic
155	#11762944	C₂²	1	1	yes	characteristic
156	#11762941	C₂²	1	1	yes	characteristic
157	C₈×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
158	C₈×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
159	Q₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
160	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
161	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
162	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
163	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
164	#11762894	C₂²	1	1	yes	characteristic, complemented
165	#11762894	C₂²	1	1	yes	characteristic, complemented
166	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
167	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
168	D₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
169	#11762889	C₂²	1	1	yes	characteristic
170	#11762889	C₂²	1	1	yes	characteristic, complemented
171	C₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
172	C₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
173	#11762872	C₂²	1	1	yes	characteristic
174	#11762872	C₂²	1	1	yes	characteristic
175	#11762872	C₂²	1	1	yes	characteristic, complemented
176	#11762872	C₂²	1	1	yes	characteristic, complemented
177	#11762861	C₂²	1	1	yes	characteristic, complemented
178	#11762861	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄⋊#3622	C₂²	1	1	yes	characteristic, complemented
180	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
181	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
182	#11762804	C₂²	1	1	yes	characteristic, complemented
183	#11762802	C₂²	1	1	yes	characteristic, complemented
184	C₂×#10587506	C₂²	1	1	yes	characteristic, complemented
185	#103×D₁₇	C₂²	1	1	yes	characteristic, complemented
186	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
187	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#529	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₁₇×#124	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#495	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#495	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#488	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#488	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#451	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#448	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#447	C₂²	1	1	yes	characteristic
202	C₁₇×#431	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₇	—	2	1	no	—
206	C₂×#63256	C₂³	1	1	yes	characteristic
207	C₂×#63256	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
209	C₂×#63254	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₇	—	2	1	no	—
211	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
213	C₂×#63252	—	2	1	no	—
214	C₂×#63252	D₄	1	1	yes	characteristic
215	C₂²×D₆₈	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₁₇	—	2	1	no	—
217	C₂²×C₄×D₁₇	—	2	1	no	—
218	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
226	C₁₇×#126	—	2	1	no	—
227	C₁₇×#125	C₂³	1	1	yes	characteristic
228	C₁₇×#124	—	2	1	no	—
229	C₁₇×#124	—	2	1	no	—
230	C₁₇×#124	C₂³	1	1	yes	characteristic
231	C₁₇×#124	C₂³	1	1	yes	characteristic
232	C₁₇×#124	C₂³	1	1	yes	characteristic
233	C₁₇×#124	C₂³	1	1	yes	characteristic
234	C₁₇×#124	C₂³	1	1	yes	characteristic
235	C₁₇×#123	—	2	1	no	—
236	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₇×#121	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₇	—	2	1	no	—
240	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₁₇×#117	—	2	1	no	—
242	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
243	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
244	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
245	#10587639	—	2	1	no	—
246	#10587639	—	2	1	no	—
247	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
248	#10587633	—	2	1	no	—
249	#10587633	C₂³	1	1	yes	characteristic
250	#10587633	C₂³	1	1	yes	characteristic
251	#10587632	—	2	1	no	—
252	#10587632	—	2	1	no	—
253	#10587632	C₂³	1	1	yes	characteristic
254	#10587632	C₂³	1	1	yes	characteristic
255	#10587632	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
257	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
258	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
259	#10587630	—	2	1	no	—
260	#10587630	C₂³	1	1	yes	characteristic
261	C₂×#63231	C₂³	1	1	yes	characteristic
262	C₂×#63230	—	4	2	no	—
263	C₂×#63230	C₂³	1	1	yes	characteristic
264	C₂×#63230	C₂³	1	1	yes	characteristic
265	C₂×#63230	C₂³	1	1	yes	characteristic
266	C₂×#63230	C₂³	1	1	yes	characteristic
267	C₂×#63230	C₂³	1	1	yes	characteristic
268	#10587626	C₂³	1	1	yes	characteristic
269	#10587626	C₂³	1	1	yes	characteristic
270	#10587625	—	2	1	no	—
271	#10587625	—	2	1	no	—
272	#10587625	—	2	1	no	—
273	#10587624	C₂³	1	1	yes	characteristic
274	#10587624	C₂³	1	1	yes	characteristic
275	#10587624	C₂³	1	1	yes	characteristic
276	#10587623	—	2	1	no	—
277	#10587623	—	2	1	no	—
278	#10587622	C₂³	1	1	yes	characteristic
279	#10587621	—	2	1	no	—
280	D₄×Dic₁₇	—	2	1	no	—
281	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
282	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
283	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×#63229	C₂³	1	1	yes	characteristic
285	C₂×#63228	—	4	2	no	—
286	C₂×#63228	C₂³	1	1	yes	characteristic
287	C₂×#63228	C₂³	1	1	yes	characteristic
288	C₂×#63228	C₂³	1	1	yes	characteristic
289	C₂×#63228	C₂³	1	1	yes	characteristic
290	C₂×#63228	C₂³	1	1	yes	characteristic
291	#10587616	—	2	1	no	—
292	#10587616	C₂³	1	1	yes	characteristic
293	#10587615	—	2	1	no	—
294	C₄×C₂²⋊D₁₇	—	2	1	no	—
295	C₄×C₂²⋊D₁₇	—	2	1	no	—
296	C₄×C₂²⋊D₁₇	—	2	1	no	—
297	C₄×C₂²⋊D₁₇	—	2	1	no	—
298	C₄×C₂²⋊D₁₇	—	2	1	no	—
299	C₄×C₂²⋊D₁₇	D₄	1	1	yes	characteristic
300	C₄×C₂²⋊D₁₇	D₄	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
303	C₂×#63227	—	2	1	no	—
304	#10587612	D₄	1	1	yes	characteristic
305	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
306	#10587610	—	2	1	no	—
307	#10587610	C₂³	1	1	yes	characteristic
308	C₂²×#3622	C₂³	1	1	yes	characteristic
309	C₂²×#3622	C₂³	1	1	yes	characteristic
310	#10587605	—	4	2	no	—
311	#10587602	—	4	2	no	—
312	SD₁₆×D₁₇	—	4	2	no	—
313	D₈×D₁₇	—	4	2	no	—
314	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
315	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
316	C₂×#63219	C₂³	1	1	yes	characteristic
317	C₂×#63219	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
322	#10587584	—	2	1	no	—
323	#10587584	—	2	1	no	—
324	#10587583	—	2	1	no	—
325	#10587583	—	2	1	no	—
326	#10587582	—	2	1	no	—
327	#10587582	—	2	1	no	—
328	#10587581	—	2	1	no	—
329	#10587581	—	2	1	no	—
330	#10587581	C₂³	1	1	yes	characteristic
331	#10587581	C₂³	1	1	yes	characteristic
332	#10587580	—	2	1	no	—
333	#10587580	—	2	1	no	—
334	#10587580	—	2	1	no	—
335	#10587579	—	2	1	no	—
336	#10587579	—	2	1	no	—
337	#10587579	C₂³	1	1	yes	characteristic
338	#10587579	C₂³	1	1	yes	characteristic
339	#10587578	—	2	1	no	—
340	#10587578	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×D₁₇	—	2	1	no	—
342	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
343	#10587576	C₂³	1	1	yes	characteristic
344	#10587575	—	2	1	no	—
345	#10587574	C₂³	1	1	yes	characteristic
346	#10587572	—	2	1	no	—
347	#10587572	—	2	1	no	—
348	#10587572	—	2	1	no	—
349	#10587571	—	2	1	no	—
350	#10587571	—	2	1	no	—
351	#10587571	—	2	1	no	—
352	#10587571	—	2	1	no	—
353	#10587571	—	2	1	no	—
354	#10587571	—	2	1	no	—
355	#10587570	—	2	1	no	—
356	#10587570	—	2	1	no	—
357	#10587570	—	2	1	no	—
358	#10587570	—	2	1	no	—
359	#10587570	—	2	1	no	—
360	#10587570	—	2	1	no	—
361	#10587570	—	2	1	no	—
362	#10587569	—	2	1	no	—
363	#10587569	—	2	1	no	—
364	#10587569	—	2	1	no	—
365	#10587569	—	2	1	no	—
366	#10587569	—	2	1	no	—
367	#10587569	—	2	1	no	—
368	#10587568	—	2	1	no	—
369	#10587568	—	2	1	no	—
370	#10587568	—	2	1	no	—
371	#10587568	—	2	1	no	—
372	#10587567	—	2	1	no	—
373	#10587567	—	2	1	no	—
374	#10587567	—	2	1	no	—
375	#10587567	—	2	1	no	—
376	#10587567	—	2	1	no	—
377	#10587567	—	2	1	no	—
378	#10587567	—	2	1	no	—
379	#10587567	—	2	1	no	—
380	#10587567	—	2	1	no	—
381	C₂²⋊C₄×D₁₇	—	2	1	no	—
382	C₂²⋊C₄×D₁₇	—	2	1	no	—
383	C₂²⋊C₄×D₁₇	—	2	1	no	—
384	C₂²⋊C₄×D₁₇	—	2	1	no	—
385	C₂²⋊C₄×D₁₇	—	2	1	no	—
386	C₂²⋊C₄×D₁₇	—	2	1	no	—
387	#10587565	—	2	1	no	—
388	#10587565	—	2	1	no	—
389	#10587565	—	2	1	no	—
390	#10587565	—	2	1	no	—
391	#10587565	—	2	1	no	—
392	#10587564	—	2	1	no	—
393	#10587564	—	2	1	no	—
394	#10587564	—	2	1	no	—
395	#10587563	—	2	1	no	—
396	#10587563	—	2	1	no	—
397	#10587563	—	2	1	no	—
398	#10587562	—	2	1	no	—
399	#10587561	C₂³	1	1	yes	characteristic
400	C₄×D₆₈	—	2	1	no	—
401	C₄×D₆₈	—	2	1	no	—
402	C₄×D₆₈	—	2	1	no	—
403	C₄×D₆₈	—	2	1	no	—
404	C₄×D₆₈	D₄	1	1	yes	characteristic
405	C₄×D₆₈	C₂³	1	1	yes	characteristic
406	C₄×D₆₈	C₂³	1	1	yes	characteristic
407	C₄×D₆₈	C₂³	1	1	yes	characteristic
408	C₄×D₆₈	C₂³	1	1	yes	characteristic
409	C₄×D₆₈	C₂³	1	1	yes	characteristic
410	C₄×D₆₈	C₂³	1	1	yes	characteristic
411	#10587558	—	2	1	no	—
412	#10587558	—	2	1	no	—
413	#10587558	D₄	1	1	yes	characteristic
414	#10587558	D₄	1	1	yes	characteristic
415	C₄²×D₁₇	—	2	1	no	—
416	C₄²×D₁₇	C₂³	1	1	yes	characteristic
417	C₄²×D₁₇	C₂³	1	1	yes	characteristic
418	#10587556	C₂³	1	1	yes	characteristic
419	C₄×Dic₃₄	D₄	1	1	yes	characteristic
420	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
421	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
422	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₇×C₄⋊C₈	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×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₇	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	#10587506	C₂³	1	1	yes	characteristic
441	#10587506	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	#10587503	C₂³	1	1	yes	characteristic
447	#10587503	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	#10587489	C₂³	1	1	yes	characteristic
460	#10587488	C₂³	1	1	yes	characteristic
461	#10587488	C₂³	1	1	yes	characteristic
462	#10587487	C₂³	1	1	yes	characteristic
463	#10587487	C₂³	1	1	yes	characteristic
464	#10587485	C₂³	1	1	yes	characteristic
465	#10587485	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	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
472	#10587481	C₂³	1	1	yes	characteristic
473	#10587481	C₂³	1	1	yes	characteristic
474	#10587480	C₂³	1	1	yes	characteristic
475	#10587480	C₂³	1	1	yes	characteristic
476	#10587479	C₂³	1	1	yes	characteristic
477	#10587479	C₂³	1	1	yes	characteristic
478	#10587478	C₂³	1	1	yes	characteristic
479	#10587478	C₂³	1	1	yes	characteristic
480	C₄⋊#3622	C₂³	1	1	yes	characteristic
481	C₄⋊#3622	C₂³	1	1	yes	characteristic
482	C₄⋊#3622	C₂³	1	1	yes	characteristic
483	C₄⋊#3622	C₂³	1	1	yes	characteristic
484	C₂⁴×C₁₇	—	2	1	no	—
485	C₂³×D₁₇	—	2	1	no	—
486	C₂³×D₁₇	—	2	1	no	—
487	C₂³×D₁₇	—	2	1	no	—
488	C₂×Q₈×C₁₇	—	2	1	no	—
489	C₂×Q₈×C₁₇	—	4	1	no	—
490	C₂×Q₈×C₁₇	—	4	1	no	—
491	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₇	—	2	1	no	—
495	C₂×D₄×C₁₇	—	2	1	no	—
496	C₂×D₄×C₁₇	—	4	1	no	—
497	C₂×D₄×C₁₇	—	4	1	no	—
498	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₁₇	—	2	1	no	—
502	C₂²×C₄×C₁₇	—	2	1	no	—
503	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
505	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₇	—	2	1	no	—
507	C₂×C₂²⋊D₁₇	—	2	1	no	—
508	C₂×C₂²⋊D₁₇	—	2	1	no	—
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	—	4	4	no	—
518	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₇	—	2	1	no	—
521	C₂²×Dic₁₇	—	2	1	no	—
522	C₂²×Dic₁₇	—	2	1	no	—
523	C₂²×Dic₁₇	—	2	1	no	—
524	C₂²×Dic₁₇	—	2	1	no	—
525	#63256	—	2	2	no	—
526	#63256	—	4	1	no	—
527	#63256	—	4	1	no	—
528	#63256	—	4	1	no	—
529	Q₈×D₁₇	—	4	1	no	—
530	Q₈×D₁₇	—	4	1	no	—
531	#63254	—	4	1	no	—
532	#63254	—	4	1	no	—
533	D₄×D₁₇	—	2	2	no	—
534	D₄×D₁₇	—	4	1	no	—
535	D₄×D₁₇	—	4	1	no	—
536	D₄×D₁₇	—	4	1	no	—
537	D₄×D₁₇	—	4	4	no	—
538	#63252	—	2	4	no	—
539	#63252	—	8	2	no	—
540	C₂×D₆₈	—	2	2	no	—
541	C₂×D₆₈	—	2	1	no	—
542	C₂×D₆₈	—	2	1	no	—
543	C₂×D₆₈	—	2	1	no	—
544	C₂×D₆₈	—	2	1	no	—
545	C₂×D₆₈	—	2	1	no	—
546	C₂×D₆₈	—	4	1	no	—
547	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
548	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
549	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
550	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₁₇	—	2	1	no	—
552	C₂×C₄×D₁₇	—	2	1	no	—
553	C₂×C₄×D₁₇	—	2	1	no	—
554	C₂×C₄×D₁₇	—	2	1	no	—
555	C₂×C₄×D₁₇	—	2	1	no	—
556	C₂×C₄×D₁₇	—	2	1	no	—
557	C₂×C₄×D₁₇	—	2	1	no	—
558	C₂×C₄×D₁₇	—	2	1	no	—
559	C₂×C₄×D₁₇	—	2	1	no	—
560	C₂×C₄×D₁₇	—	2	1	no	—
561	C₂×C₄×D₁₇	—	2	1	no	—
562	C₂×C₄×D₁₇	—	8	2	no	—
563	C₂×C₄×D₁₇	—	8	2	no	—
564	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₃₄	—	2	1	no	—
571	C₂×Dic₃₄	—	2	1	no	—
572	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
574	Q₁₆×C₁₇	—	4	1	no	—
575	Q₁₆×C₁₇	—	4	1	no	—
576	SD₁₆×C₁₇	—	4	1	no	—
577	SD₁₆×C₁₇	—	4	1	no	—
578	SD₁₆×C₁₇	—	4	1	no	—
579	SD₁₆×C₁₇	—	4	1	no	—
580	D₈×C₁₇	—	4	1	no	—
581	D₈×C₁₇	—	4	1	no	—
582	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₁₇	—	2	1	no	—
587	C₄⋊C₄×C₁₇	—	2	1	no	—
588	C₄⋊C₄×C₁₇	—	2	1	no	—
589	C₄⋊C₄×C₁₇	—	2	1	no	—
590	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
591	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
592	C₂²⋊C₄×C₁₇	—	2	1	no	—
593	C₂²⋊C₄×C₁₇	—	2	1	no	—
594	C₂²⋊C₄×C₁₇	—	2	1	no	—
595	C₂²⋊C₄×C₁₇	—	2	1	no	—
596	C₂²⋊C₄×C₁₇	—	2	1	no	—
597	C₂²⋊C₄×C₁₇	—	2	1	no	—
598	C₂²⋊C₄×C₁₇	—	2	1	no	—
599	C₂²⋊C₄×C₁₇	—	2	1	no	—
600	C₂²⋊C₄×C₁₇	—	2	1	no	—
601	C₂²⋊C₄×C₁₇	—	2	1	no	—
602	C₂²⋊C₄×C₁₇	—	2	1	no	—
603	C₂²⋊C₄×C₁₇	—	2	1	no	—
604	C₂²⋊C₄×C₁₇	—	2	1	no	—
605	C₄²×C₁₇	—	2	1	no	—
606	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₁₇	—	2	1	no	—
611	C₂²⋊Dic₁₇	—	2	1	no	—
612	C₂²⋊Dic₁₇	—	2	1	no	—
613	C₂²⋊Dic₁₇	—	2	1	no	—
614	C₂²⋊Dic₁₇	—	2	1	no	—
615	C₂²⋊Dic₁₇	—	2	1	no	—
616	C₂²⋊Dic₁₇	—	2	1	no	—
617	C₂²⋊Dic₁₇	—	2	1	no	—
618	C₂²⋊Dic₁₇	—	2	1	no	—
619	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
620	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
621	#63231	—	4	1	no	—
622	#63230	—	2	2	no	—
623	#63230	—	2	2	no	—
624	#63230	—	4	1	no	—
625	#63230	—	4	1	no	—
626	#63230	—	4	1	no	—
627	#63229	—	4	1	no	—
628	#63228	—	2	2	no	—
629	#63228	—	2	2	no	—
630	#63228	—	4	1	no	—
631	#63228	—	4	1	no	—
632	#63228	—	4	1	no	—
633	#63227	—	2	1	no	—
634	#63227	—	2	1	no	—
635	#63227	—	2	1	no	—
636	#63227	—	2	1	no	—
637	#63227	—	2	1	no	—
638	#63227	—	2	1	no	—
639	#63227	—	2	1	no	—
640	#63227	—	2	1	no	—
641	#63227	—	2	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	C₂×D₄	1	1	yes	characteristic
654	#63227	C₂×D₄	1	1	yes	characteristic
655	#63227	C₂×D₄	1	1	yes	characteristic
656	#63227	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₁₇	—	2	1	no	—
658	C₄⋊Dic₁₇	—	2	1	no	—
659	C₄⋊Dic₁₇	—	2	1	no	—
660	C₄⋊Dic₁₇	—	2	1	no	—
661	C₄⋊Dic₁₇	—	2	1	no	—
662	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
668	#63225	—	2	1	no	—
669	#63225	—	2	1	no	—
670	#63225	—	2	1	no	—
671	#63225	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
681	#63225	C₂×D₄	1	1	yes	characteristic
682	#63225	C₂×D₄	1	1	yes	characteristic
683	#63225	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₁₇	—	2	1	no	—
685	C₄×Dic₁₇	—	2	1	no	—
686	C₄×Dic₁₇	—	2	1	no	—
687	C₄×Dic₁₇	—	2	1	no	—
688	C₄×Dic₁₇	—	2	1	no	—
689	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
695	C₂×#3622	—	4	1	no	—
696	C₂×#3622	—	4	1	no	—
697	C₂×#3622	C₂⁴	1	1	yes	characteristic
698	C₂×#3622	C₂⁴	1	1	yes	characteristic
699	C₂×#3622	C₂⁴	1	1	yes	characteristic
700	C₂×#3622	C₂⁴	1	1	yes	characteristic
701	D₁₃₆	—	2	2	no	—
702	D₁₃₆	—	4	1	no	—
703	#63219	—	2	2	no	—
704	#63219	—	4	1	no	—
705	C₈×D₁₇	—	4	1	no	—
706	C₈×D₁₇	—	4	1	no	—
707	C₈×D₁₇	—	4	1	no	—
708	C₈×D₁₇	—	4	1	no	—
709	#61955	—	17	1	no	maximal, Sylow
710	C₂³×C₁₇	—	2	1	no	—
711	C₂³×C₁₇	—	2	1	no	—
712	C₂³×C₁₇	—	2	1	no	—
713	C₂³×C₁₇	—	4	2	no	—
714	C₂³×C₁₇	—	8	1	no	—
715	C₂³×C₁₇	—	8	1	no	—
716	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
717	C₂²×D₁₇	—	2	1	no	—
718	C₂²×D₁₇	—	2	1	no	—
719	C₂²×D₁₇	—	2	1	no	—
720	C₂²×D₁₇	—	4	2	no	—
721	C₂²×D₁₇	—	4	2	no	—
722	C₂²×D₁₇	—	4	2	no	—
723	C₂²×D₁₇	—	4	2	no	—
724	C₂²×D₁₇	—	4	2	no	—
725	C₂²×D₁₇	—	8	1	no	—
726	C₂²×D₁₇	—	8	1	no	—
727	C₂²×D₁₇	—	8	1	no	—
728	C₂²×D₁₇	—	8	1	no	—
729	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
730	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
731	Q₈×C₁₇	—	2	1	no	—
732	Q₈×C₁₇	—	2	1	no	—
733	Q₈×C₁₇	—	2	1	no	—
734	Q₈×C₁₇	—	2	1	no	—
735	Q₈×C₁₇	—	2	1	no	—
736	Q₈×C₁₇	—	2	1	no	—
737	Q₈×C₁₇	—	8	1	no	—
738	D₄×C₁₇	—	2	1	no	—
739	D₄×C₁₇	—	2	1	no	—
740	D₄×C₁₇	—	2	1	no	—
741	D₄×C₁₇	—	2	1	no	—
742	D₄×C₁₇	—	2	1	no	—
743	D₄×C₁₇	—	2	1	no	—
744	D₄×C₁₇	—	4	2	no	—
745	D₄×C₁₇	—	8	1	no	—
746	C₂×C₄×C₁₇	—	2	2	no	—
747	C₂×C₄×C₁₇	—	2	1	no	—
748	C₂×C₄×C₁₇	—	2	1	no	—
749	C₂×C₄×C₁₇	—	2	1	no	—
750	C₂×C₄×C₁₇	—	2	1	no	—
751	C₂×C₄×C₁₇	—	2	1	no	—
752	C₂×C₄×C₁₇	—	2	1	no	—
753	C₂×C₄×C₁₇	—	2	1	no	—
754	C₂×C₄×C₁₇	—	4	1	no	—
755	C₂×C₄×C₁₇	—	4	2	no	—
756	C₂×C₄×C₁₇	—	8	1	no	—
757	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
763	C₂²⋊D₁₇	—	2	2	no	—
764	C₂²⋊D₁₇	—	4	2	no	—
765	C₂²⋊D₁₇	—	4	2	no	—
766	C₂²⋊D₁₇	—	4	2	no	—
767	C₂²⋊D₁₇	—	4	2	no	—
768	C₂²⋊D₁₇	—	4	2	no	—
769	C₂²⋊D₁₇	—	8	1	no	—
770	C₂²⋊D₁₇	—	8	1	no	—
771	C₂²⋊D₁₇	—	8	1	no	—
772	C₂²⋊D₁₇	—	8	1	no	—
773	C₂²⋊D₁₇	—	8	1	no	—
774	C₂²⋊D₁₇	—	8	1	no	—
775	C₂²⋊D₁₇	#135	1	4	yes	complemented
776	C₂×Dic₁₇	—	2	1	no	—
777	C₂×Dic₁₇	—	2	1	no	—
778	C₂×Dic₁₇	—	2	1	no	—
779	C₂×Dic₁₇	—	2	1	no	—
780	C₂×Dic₁₇	—	2	1	no	—
781	C₂×Dic₁₇	—	4	2	no	—
782	C₂×Dic₁₇	—	8	1	no	—
783	C₂×Dic₁₇	—	8	1	no	—
784	C₂×Dic₁₇	—	8	1	no	—
785	C₂×Dic₁₇	—	8	1	no	—
786	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
787	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
788	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
789	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
790	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
791	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
792	D₆₈	—	2	2	no	—
793	D₆₈	—	2	1	no	—
794	D₆₈	—	2	1	no	—
795	D₆₈	—	2	1	no	—
796	D₆₈	—	2	1	no	—
797	D₆₈	—	2	1	no	—
798	D₆₈	—	4	2	no	—
799	D₆₈	—	4	2	no	—
800	D₆₈	—	4	2	no	—
801	D₆₈	—	8	1	no	—
802	D₆₈	—	8	1	no	—
803	D₆₈	H(5,𝔽₂)	1	2	yes	—
804	C₄×D₁₇	—	2	2	no	—
805	C₄×D₁₇	—	2	1	no	—
806	C₄×D₁₇	—	2	1	no	—
807	C₄×D₁₇	—	2	1	no	—
808	C₄×D₁₇	—	2	1	no	—
809	C₄×D₁₇	—	2	2	no	—
810	C₄×D₁₇	—	4	1	no	—
811	C₄×D₁₇	—	4	1	no	—
812	C₄×D₁₇	—	4	2	no	—
813	C₄×D₁₇	—	4	2	no	—
814	C₄×D₁₇	—	4	2	no	—
815	C₄×D₁₇	—	4	2	no	—
816	C₄×D₁₇	—	8	1	no	—
817	C₄×D₁₇	—	8	1	no	—
818	C₄×D₁₇	—	8	1	no	—
819	C₄×D₁₇	—	8	1	no	—
820	C₄×D₁₇	—	8	1	no	—
821	C₄×D₁₇	—	8	1	no	—
822	C₄×D₁₇	—	8	1	no	—
823	Dic₃₄	—	2	2	no	—
824	Dic₃₄	—	2	1	no	—
825	Dic₃₄	—	2	1	no	—
826	Dic₃₄	—	8	1	no	—
827	Dic₃₄	—	8	1	no	—
828	C₈×C₁₇	—	2	1	no	—
829	C₈×C₁₇	—	2	1	no	—
830	C₈×C₁₇	—	2	1	no	—
831	C₈×C₁₇	—	2	1	no	—
832	#3622	—	2	1	no	—
833	#3622	—	2	1	no	—
834	#3622	—	2	1	no	—
835	#3622	—	2	1	no	—
836	#3514	—	17	1	no	—
837	#3481	—	17	1	no	—
838	#3396	—	17	1	no	—
839	#3394	—	17	1	no	—
840	#3361	—	17	1	no	—
841	#3360	—	17	1	no	—
842	#3301	—	17	1	no	—
843	#3301	—	17	1	no	—
844	#3299	—	17	1	no	—
845	#3297	—	17	1	no	—
846	#3297	—	17	1	no	—
847	#3295	—	17	1	no	—
848	#3282	—	17	1	no	—
849	#3282	—	17	1	no	—
850	D₄×SD₁₆	—	17	1	no	—
851	#3280	—	17	1	no	—
852	#3280	—	17	1	no	—
853	D₄×D₈	—	17	1	no	—
854	#3250	—	17	1	no	—
855	#3250	—	17	1	no	—
856	#3247	—	17	1	no	—
857	#3211	—	17	1	no	—
858	#3211	D₁₇	1	1	yes	characteristic, complemented
859	#3207	—	17	1	no	—
860	#3105	—	17	1	no	—
861	#3105	—	17	1	no	—
862	#3102	—	17	1	no	—
863	#3035	—	17	1	no	—
864	C₂×#463	—	17	1	no	—
865	C₂×#463	—	17	1	no	—
866	#2988	—	17	1	no	—
867	C₂²×C₁₇	—	2	1	no	—
868	C₂²×C₁₇	—	2	1	no	—
869	C₂²×C₁₇	—	4	1	no	—
870	C₂²×C₁₇	—	4	1	no	—
871	C₂²×C₁₇	—	4	1	no	—
872	C₂²×C₁₇	—	4	1	no	—
873	C₂²×C₁₇	—	4	1	no	—
874	C₂²×C₁₇	—	4	1	no	—
875	C₂²×C₁₇	—	4	1	no	—
876	C₂²×C₁₇	—	4	1	no	—
877	C₂²×C₁₇	—	4	1	no	—
878	C₂²×C₁₇	—	16	2	no	—
879	C₂²×C₁₇	C₂×#135	1	2	yes	—
880	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
881	C₂×D₁₇	—	2	1	no	—
882	C₂×D₁₇	—	2	1	no	—
883	C₂×D₁₇	—	2	1	no	—
884	C₂×D₁₇	—	2	1	no	—
885	C₂×D₁₇	—	2	2	no	—
886	C₂×D₁₇	—	2	1	no	—
887	C₂×D₁₇	—	4	1	no	—
888	C₂×D₁₇	—	4	1	no	—
889	C₂×D₁₇	—	4	1	no	—
890	C₂×D₁₇	—	4	1	no	—
891	C₂×D₁₇	—	4	1	no	—
892	C₂×D₁₇	—	4	1	no	—
893	C₂×D₁₇	—	4	1	no	—
894	C₂×D₁₇	—	4	1	no	—
895	C₂×D₁₇	—	8	4	no	—
896	C₂×D₁₇	—	8	4	no	—
897	C₂×D₁₇	—	16	2	no	—
898	C₂×D₁₇	C₂×#135	1	2	yes	—
899	C₄×C₁₇	—	2	1	no	—
900	C₄×C₁₇	—	2	1	no	—
901	C₄×C₁₇	—	2	1	no	—
902	C₄×C₁₇	—	2	1	no	—
903	C₄×C₁₇	—	2	1	no	—
904	C₄×C₁₇	—	4	1	no	—
905	C₄×C₁₇	—	4	1	no	—
906	C₄×C₁₇	—	4	1	no	—
907	C₄×C₁₇	—	4	1	no	—
908	C₄×C₁₇	—	4	1	no	—
909	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
910	C₄×C₁₇	#585	1	1	yes	characteristic
911	Dic₁₇	—	2	1	no	—
912	Dic₁₇	—	2	1	no	—
913	Dic₁₇	—	2	1	no	—
914	Dic₁₇	—	2	1	no	—
915	Dic₁₇	—	2	1	no	—
916	Dic₁₇	—	4	1	no	—
917	Dic₁₇	—	4	1	no	—
918	Dic₁₇	—	4	1	no	—
919	Dic₁₇	—	4	1	no	—
920	Dic₁₇	—	4	1	no	—
921	Dic₁₇	C₂×#135	1	2	yes	—
922	C₂×#135	—	17	1	no	—
923	C₂×#135	—	17	1	no	—
924	C₂²×SD₁₆	—	17	1	no	—
925	C₂²×SD₁₆	—	17	1	no	—
926	C₂²×D₈	—	17	1	no	—
927	C₂²×D₈	—	17	1	no	—
928	#559	—	17	1	no	—
929	#559	—	17	1	no	—
930	#556	—	17	1	no	—
931	#555	—	34	1	no	—
932	#554	—	17	1	no	—
933	#554	—	17	1	no	—
934	#553	—	17	1	no	—
935	#553	—	17	1	no	—
936	#553	—	34	1	no	—
937	#551	—	34	1	no	—
938	#551	—	34	1	no	—
939	#551	—	34	1	no	—
940	#551	—	34	1	no	—
941	D₄×Q₈	—	17	1	no	—
942	#548	—	17	1	no	—
943	#548	—	17	1	no	—
944	#546	—	17	1	no	—
945	#546	—	17	1	no	—
946	#546	—	17	1	no	—
947	#546	—	17	1	no	—
948	#546	—	34	1	no	—
949	#546	—	34	1	no	—
950	D₄²	—	17	1	no	—
951	D₄²	—	17	1	no	—
952	#542	—	34	1	no	—
953	#538	—	34	1	no	—
954	#538	—	34	1	no	—
955	#532	—	17	1	no	—
956	#532	—	17	1	no	—
957	#529	—	17	1	no	—
958	#529	—	17	1	no	—
959	#529	—	17	1	no	—
960	#529	—	17	1	no	—
961	#529	—	34	1	no	—
962	#529	C₂×D₁₇	1	1	yes	characteristic, complemented
963	C₂×#124	—	17	1	no	—
964	C₂×#124	C₂×D₁₇	1	1	yes	characteristic, complemented
965	#525	—	34	1	no	—
966	#525	—	34	1	no	—
967	#518	—	34	1	no	—
968	C₄×#41	—	17	1	no	—
969	C₄×#41	—	17	1	no	—
970	C₂×C₄×D₄	—	17	1	no	—
971	C₂×C₄×D₄	—	17	1	no	—
972	C₂×C₄×D₄	—	34	1	no	—
973	#495	—	17	1	no	—
974	#495	—	17	1	no	—
975	#495	C₂×D₁₇	1	1	yes	characteristic, complemented
976	#495	C₂×D₁₇	1	1	yes	characteristic, complemented
977	#493	—	17	1	no	—
978	#492	—	17	1	no	—
979	#488	—	17	1	no	—
980	#488	—	17	1	no	—
981	#488	C₂×D₁₇	1	1	yes	characteristic, complemented
982	#488	C₂×D₁₇	1	1	yes	characteristic, complemented
983	#487	—	17	1	no	—
984	#486	—	17	1	no	—
985	#485	—	17	1	no	—
986	#484	—	17	1	no	—
987	#484	—	17	1	no	—
988	#482	—	17	1	no	—
989	#481	—	17	1	no	—
990	#481	—	17	1	no	—
991	#479	—	17	1	no	—
992	#479	—	17	1	no	—
993	#479	—	17	1	no	—
994	#478	—	17	1	no	—
995	#478	—	17	1	no	—
996	#478	—	17	1	no	—
997	#478	—	17	1	no	—
998	#478	—	17	1	no	—
999	#477	—	17	1	no	—
1000	#476	—	17	1	no	—
1001	#467	—	17	1	no	—
1002	#467	—	17	1	no	—
1003	#466	—	17	1	no	—
1004	#466	—	17	1	no	—
1005	#466	—	17	1	no	—
1006	#466	—	17	1	no	—
1007	#465	—	17	1	no	—
1008	#465	—	17	1	no	—
1009	#465	—	17	1	no	—
1010	#465	—	17	1	no	—
1011	#465	—	17	1	no	—
1012	#465	—	17	1	no	—
1013	#464	—	17	1	no	—
1014	#464	—	17	1	no	—
1015	#464	—	17	1	no	—
1016	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1017	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1018	#463	—	17	1	no	—
1019	#463	—	17	1	no	—
1020	#463	—	17	1	no	—
1021	#463	—	17	1	no	—
1022	#463	—	17	1	no	—
1023	#463	—	17	1	no	—
1024	#463	—	17	1	no	—
1025	#463	—	17	1	no	—
1026	#463	—	17	1	no	—
1027	#463	—	17	1	no	—
1028	#463	—	17	1	no	—
1029	#463	—	17	1	no	—
1030	#463	—	17	1	no	—
1031	#463	—	17	1	no	—
1032	#463	—	17	1	no	—
1033	#463	—	17	1	no	—
1034	#463	—	17	1	no	—
1035	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1036	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1037	#462	—	17	1	no	—
1038	#461	—	17	1	no	—
1039	#460	—	17	1	no	—
1040	#460	—	17	1	no	—
1041	#459	—	17	1	no	—
1042	#459	—	17	1	no	—
1043	#452	—	17	1	no	—
1044	#451	—	17	1	no	—
1045	#451	C₂×D₁₇	1	1	yes	characteristic, complemented
1046	#450	—	17	1	no	—
1047	#450	—	17	1	no	—
1048	#450	—	17	1	no	—
1049	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1050	#449	—	17	1	no	—
1051	#449	—	17	1	no	—
1052	#449	—	17	1	no	—
1053	#449	—	17	1	no	—
1054	#449	—	17	1	no	—
1055	#448	—	17	1	no	—
1056	#448	C₂×D₁₇	1	1	yes	characteristic, complemented
1057	#447	—	17	1	no	—
1058	#447	—	17	1	no	—
1059	#447	—	17	1	no	—
1060	#447	C₂×D₁₇	1	1	yes	characteristic
1061	C₈×Q₈	—	17	1	no	—
1062	C₈×Q₈	—	17	1	no	—
1063	C₄×Q₁₆	—	17	1	no	—
1064	C₄×SD₁₆	—	17	1	no	—
1065	C₄×SD₁₆	—	17	1	no	—
1066	C₄×SD₁₆	—	17	1	no	—
1067	C₄×SD₁₆	—	17	1	no	—
1068	C₄×SD₁₆	—	17	1	no	—
1069	C₄×SD₁₆	—	17	1	no	—
1070	C₄×D₈	—	17	1	no	—
1071	C₄×D₈	—	17	1	no	—
1072	C₄×D₈	—	17	1	no	—
1073	C₄×D₈	—	17	1	no	—
1074	C₄×D₈	—	17	1	no	—
1075	C₈×D₄	—	17	1	no	—
1076	C₈×D₄	—	17	1	no	—
1077	C₈×D₄	—	17	1	no	—
1078	C₈×D₄	—	17	1	no	—
1079	C₈×D₄	—	17	1	no	—
1080	C₈×D₄	—	17	1	no	—
1081	#431	—	17	1	no	—
1082	#431	—	17	1	no	—
1083	#431	C₂×D₁₇	1	1	yes	characteristic, complemented
1084	C₂×C₄⋊C₈	—	17	1	no	—
1085	C₂×C₄⋊C₈	—	17	1	no	—
1086	C₂×C₄⋊C₈	—	17	1	no	—
1087	#416	—	17	1	no	—
1088	#416	—	17	1	no	—
1089	C₂×#103	—	17	1	no	—
1090	C₂×#103	—	17	1	no	—
1091	C₂×#102	—	17	1	no	—
1092	C₂×#102	—	17	1	no	—
1093	C₂×C₁₇	—	2	2	no	—
1094	C₂×C₁₇	—	8	1	no	—
1095	C₂×C₁₇	—	8	1	no	—
1096	C₂×C₁₇	—	8	1	no	—
1097	C₂×C₁₇	#3488	1	1	yes	characteristic
1098	C₂×C₁₇	C₂²×#135	1	1	yes	characteristic
1099	C₂×C₁₇	#3585	1	1	yes	characteristic
1100	D₁₇	—	2	2	no	—
1101	D₁₇	—	4	1	no	—
1102	D₁₇	—	4	2	no	—
1103	D₁₇	—	8	1	no	—
1104	D₁₇	—	8	1	no	—
1105	C₂×#41	—	17	1	no	—
1106	C₂×#41	—	17	1	no	—
1107	C₂×#41	—	17	1	no	—
1108	C₂×#41	—	17	1	no	—
1109	C₂×#41	—	34	1	no	—
1110	C₂²×Q₈	—	17	1	no	—
1111	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1112	C₂²×D₄	—	17	1	no	—
1113	C₂²×D₄	—	17	1	no	—
1114	C₂²×D₄	—	17	1	no	—
1115	C₂²×D₄	—	34	1	no	—
1116	C₂²×D₄	—	34	1	no	—
1117	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1118	C₂³×C₄	—	34	1	no	—
1119	C₂³×C₄	—	34	1	no	—
1120	#135	—	68	2	no	—
1121	#135	—	68	2	no	—
1122	C₂×Q₁₆	—	17	1	no	—
1123	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic
1124	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic
1125	C₂×SD₁₆	—	17	1	no	—
1126	C₂×SD₁₆	—	17	1	no	—
1127	C₂×SD₁₆	—	17	1	no	—
1128	C₂×SD₁₆	—	17	1	no	—
1129	C₂×SD₁₆	—	17	1	no	—
1130	C₂×SD₁₆	—	17	1	no	—
1131	C₂×SD₁₆	—	17	1	no	—
1132	C₂×SD₁₆	—	17	1	no	—
1133	C₂×SD₁₆	—	68	2	no	—
1134	C₂×SD₁₆	—	68	2	no	—
1135	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1138	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1139	C₂×D₈	—	17	1	no	—
1140	C₂×D₈	—	17	1	no	—
1141	C₂×D₈	—	17	1	no	—
1142	C₂×D₈	—	17	1	no	—
1143	C₂×D₈	—	17	1	no	—
1144	C₂×D₈	—	17	1	no	—
1145	C₂×D₈	—	17	1	no	—
1146	C₂×D₈	—	68	2	no	—
1147	C₂×D₈	—	68	2	no	—
1148	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1149	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1150	C₂²×C₈	—	17	1	no	—
1151	C₂²×C₈	—	17	1	no	—
1152	C₂²×C₈	—	17	1	no	—
1153	C₂²×C₈	—	17	1	no	—
1154	C₂²×C₈	—	17	1	no	—
1155	C₂²×C₈	—	17	1	no	—
1156	C₄⋊Q₈	—	17	1	no	—
1157	C₄⋊Q₈	—	17	1	no	—
1158	C₄⋊Q₈	—	34	1	no	—
1159	#127	—	17	1	no	—
1160	#127	—	17	1	no	—
1161	#126	—	2	1	no	—
1162	#126	—	34	1	no	—
1163	#126	—	34	1	no	—
1164	#126	—	34	1	no	—
1165	#126	—	34	1	no	—
1166	#126	—	34	1	no	—
1167	#126	—	34	1	no	—
1168	#126	—	34	1	no	—
1169	#126	—	34	1	no	—
1170	#125	—	17	1	no	—
1171	#125	—	17	1	no	—
1172	#125	—	34	1	no	—
1173	#125	C₂²×D₁₇	1	1	yes	characteristic
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	17	1	no	—
1177	#124	—	17	1	no	—
1178	#124	—	17	1	no	—
1179	#124	—	17	1	no	—
1180	#124	—	34	1	no	—
1181	#124	—	34	1	no	—
1182	#124	—	34	1	no	—
1183	#124	—	34	1	no	—
1184	#124	—	34	1	no	—
1185	#124	—	34	1	no	—
1186	#124	—	34	1	no	—
1187	#124	C₂²×D₁₇	1	1	yes	characteristic
1188	#124	C₂²×D₁₇	1	1	yes	characteristic
1189	#124	C₂²×D₁₇	1	1	yes	characteristic
1190	#124	C₂²×D₁₇	1	1	yes	characteristic
1191	#124	C₂²×D₁₇	1	1	yes	characteristic
1192	#123	—	2	1	no	—
1193	#123	—	34	1	no	—
1194	#123	—	34	1	no	—
1195	#123	—	34	1	no	—
1196	#123	—	34	1	no	—
1197	#123	—	34	1	no	—
1198	#123	—	34	1	no	—
1199	#123	—	34	1	no	—
1200	#123	—	34	1	no	—
1201	#123	—	34	1	no	—
1202	#123	—	34	1	no	—
1203	#123	—	34	1	no	—
1204	#123	—	34	1	no	—
1205	#123	—	34	1	no	—
1206	#123	—	34	1	no	—
1207	C₂²⋊Q₈	—	17	1	no	—
1208	C₂²⋊Q₈	—	17	1	no	—
1209	C₂²⋊Q₈	—	17	1	no	—
1210	C₂²⋊Q₈	—	17	1	no	—
1211	C₂²⋊Q₈	—	34	1	no	—
1212	C₂²⋊Q₈	—	34	1	no	—
1213	C₂²⋊Q₈	—	34	1	no	—
1214	C₂²⋊Q₈	—	34	1	no	—
1215	C₂²⋊Q₈	—	34	1	no	—
1216	C₂²⋊Q₈	—	34	1	no	—
1217	C₂²⋊Q₈	—	34	1	no	—
1218	C₂²⋊Q₈	—	34	1	no	—
1219	C₂²⋊Q₈	—	34	1	no	—
1220	C₂²⋊Q₈	—	34	1	no	—
1221	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1222	#121	—	17	1	no	—
1223	#121	—	17	1	no	—
1224	#121	—	17	1	no	—
1225	#121	—	17	1	no	—
1226	#121	—	17	1	no	—
1227	#121	—	17	1	no	—
1228	#121	—	34	1	no	—
1229	#121	—	34	1	no	—
1230	#121	—	34	1	no	—
1231	#121	—	34	1	no	—
1232	#121	—	34	1	no	—
1233	#121	—	34	1	no	—
1234	#121	—	34	1	no	—
1235	#121	—	34	1	no	—
1236	#121	—	34	1	no	—
1237	#121	—	34	1	no	—
1238	#121	—	34	1	no	—
1239	#121	—	34	1	no	—
1240	#121	—	34	1	no	—
1241	#121	C₂²×D₁₇	1	1	yes	characteristic
1242	#120	—	34	1	no	—
1243	#120	—	34	1	no	—
1244	#120	—	34	1	no	—
1245	#120	—	34	1	no	—
1246	#120	—	34	1	no	—
1247	#120	—	34	1	no	—
1248	#120	—	34	1	no	—
1249	#120	—	34	1	no	—
1250	C₄×Q₈	—	17	1	no	—
1251	C₄×Q₈	—	17	1	no	—
1252	C₄×Q₈	—	17	1	no	—
1253	C₄×Q₈	—	17	1	no	—
1254	C₄×Q₈	—	17	1	no	—
1255	C₄×Q₈	—	17	1	no	—
1256	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	17	1	no	—
1259	C₄×D₄	—	17	1	no	—
1260	C₄×D₄	—	17	1	no	—
1261	C₄×D₄	—	17	1	no	—
1262	C₄×D₄	—	17	1	no	—
1263	C₄×D₄	—	17	1	no	—
1264	C₄×D₄	—	17	1	no	—
1265	C₄×D₄	—	17	1	no	—
1266	C₄×D₄	—	17	1	no	—
1267	C₄×D₄	—	17	1	no	—
1268	C₄×D₄	—	17	1	no	—
1269	C₄×D₄	—	17	1	no	—
1270	C₄×D₄	—	17	1	no	—
1271	C₄×D₄	—	17	1	no	—
1272	C₄×D₄	—	17	1	no	—
1273	C₄×D₄	—	17	1	no	—
1274	C₄×D₄	—	34	1	no	—
1275	C₄×D₄	—	34	1	no	—
1276	C₄×D₄	—	34	1	no	—
1277	C₄×D₄	—	34	1	no	—
1278	C₄×D₄	—	34	1	no	—
1279	C₄×D₄	—	34	1	no	—
1280	C₄×D₄	—	34	1	no	—
1281	C₄×D₄	—	34	1	no	—
1282	C₄×D₄	—	34	1	no	—
1283	C₄×D₄	—	34	1	no	—
1284	C₄×D₄	—	34	1	no	—
1285	C₄×D₄	—	34	1	no	—
1286	C₄×D₄	—	34	1	no	—
1287	C₄×D₄	—	34	1	no	—
1288	C₄×D₄	—	34	1	no	—
1289	C₄×D₄	—	34	1	no	—
1290	C₄×D₄	—	34	1	no	—
1291	C₄×D₄	—	34	1	no	—
1292	C₄×D₄	—	34	1	no	—
1293	C₄×D₄	—	34	1	no	—
1294	C₄×D₄	—	34	1	no	—
1295	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1296	#117	—	2	1	no	—
1297	#117	—	17	1	no	—
1298	#117	—	17	1	no	—
1299	#117	—	17	1	no	—
1300	#117	—	17	1	no	—
1301	#117	—	34	1	no	—
1302	#117	—	34	1	no	—
1303	#117	—	34	1	no	—
1304	#117	—	34	1	no	—
1305	#117	—	34	1	no	—
1306	#117	—	34	1	no	—
1307	C₂×C₄⋊C₄	—	17	1	no	—
1308	C₂×C₄⋊C₄	—	17	1	no	—
1309	C₂×C₄⋊C₄	—	34	1	no	—
1310	C₂×C₂²⋊C₄	—	2	1	no	—
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	34	1	no	—
1313	C₂×C₂²⋊C₄	—	34	1	no	—
1314	C₂×C₂²⋊C₄	—	34	1	no	—
1315	C₂×C₂²⋊C₄	—	34	1	no	—
1316	C₂×C₂²⋊C₄	—	34	1	no	—
1317	C₂×C₂²⋊C₄	—	34	1	no	—
1318	C₂×C₂²⋊C₄	—	34	1	no	—
1319	C₂×C₂²⋊C₄	—	34	1	no	—
1320	C₂×C₄²	—	17	1	no	—
1321	C₂×C₄²	—	17	1	no	—
1322	C₂×C₄²	—	34	1	no	—
1323	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1324	#107	—	17	1	no	—
1325	#107	—	17	1	no	—
1326	#107	—	17	1	no	—
1327	#107	—	17	1	no	—
1328	#106	—	17	1	no	—
1329	#106	—	17	1	no	—
1330	#106	—	17	1	no	—
1331	#106	—	17	1	no	—
1332	C₄⋊C₈	—	17	1	no	—
1333	C₄⋊C₈	—	17	1	no	—
1334	C₄⋊C₈	—	17	1	no	—
1335	C₄⋊C₈	—	17	1	no	—
1336	C₄⋊C₈	—	17	1	no	—
1337	C₄⋊C₈	—	17	1	no	—
1338	C₄⋊C₈	—	17	1	no	—
1339	C₄⋊C₈	—	17	1	no	—
1340	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1341	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1342	#103	—	17	1	no	—
1343	#103	—	17	1	no	—
1344	#103	—	17	1	no	—
1345	#103	—	17	1	no	—
1346	#103	—	17	1	no	—
1347	#103	—	17	1	no	—
1348	#103	—	17	1	no	—
1349	#103	—	17	1	no	—
1350	#103	—	17	1	no	—
1351	#103	—	17	1	no	—
1352	#103	C₂²×D₁₇	1	1	yes	characteristic
1353	#103	C₂²×D₁₇	1	1	yes	characteristic
1354	#103	C₂²×D₁₇	1	1	yes	characteristic
1355	#103	C₂²×D₁₇	1	1	yes	characteristic
1356	#102	—	17	1	no	—
1357	#102	—	17	1	no	—
1358	#102	—	17	1	no	—
1359	#102	—	17	1	no	—
1360	#102	—	17	1	no	—
1361	#102	—	17	1	no	—
1362	#102	—	17	1	no	—
1363	#102	—	17	1	no	—
1364	#102	—	17	1	no	—
1365	#102	—	17	1	no	—
1366	#102	—	17	1	no	—
1367	#102	—	17	1	no	—
1368	#102	—	17	1	no	—
1369	#102	—	17	1	no	—
1370	#102	C₂²×D₁₇	1	1	yes	characteristic
1371	#102	C₂²×D₁₇	1	1	yes	characteristic
1372	#102	C₂²×D₁₇	1	1	yes	characteristic
1373	#102	C₂²×D₁₇	1	1	yes	characteristic
1374	C₂²⋊C₈	—	17	1	no	—
1375	C₂²⋊C₈	—	17	1	no	—
1376	C₂²⋊C₈	—	17	1	no	—
1377	C₂²⋊C₈	—	17	1	no	—
1378	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1379	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1380	C₄×C₈	—	17	1	no	—
1381	C₄×C₈	—	17	1	no	—
1382	C₄×C₈	—	17	1	no	—
1383	C₄×C₈	—	17	1	no	—
1384	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1385	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1386	C₁₇	#61955	1	1	yes	characteristic, complemented, Sylow
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	34	1	no	—
1389	C₂⁴	—	34	1	no	—
1390	C₂⁴	—	34	1	no	—
1391	#41	—	34	4	no	—
1392	#41	—	34	2	no	—
1393	#41	—	68	1	no	—
1394	#41	—	68	1	no	—
1395	#41	—	68	1	no	—
1396	#41	—	68	1	no	—
1397	#41	—	68	1	no	—
1398	#41	—	136	2	no	—
1399	C₂×Q₈	—	2	1	no	—
1400	C₂×Q₈	—	4	1	no	—
1401	C₂×Q₈	—	4	1	no	—
1402	C₂×Q₈	—	17	1	no	—
1403	C₂×Q₈	—	17	1	no	—
1404	C₂×Q₈	—	34	1	no	—
1405	C₂×Q₈	—	34	1	no	—
1406	C₂×Q₈	—	68	1	no	—
1407	C₂×Q₈	—	68	1	no	—
1408	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1409	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1410	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	17	1	no	—
1416	C₂×D₄	—	17	1	no	—
1417	C₂×D₄	—	17	1	no	—
1418	C₂×D₄	—	17	1	no	—
1419	C₂×D₄	—	17	1	no	—
1420	C₂×D₄	—	17	1	no	—
1421	C₂×D₄	—	34	2	no	—
1422	C₂×D₄	—	34	1	no	—
1423	C₂×D₄	—	34	1	no	—
1424	C₂×D₄	—	34	1	no	—
1425	C₂×D₄	—	34	1	no	—
1426	C₂×D₄	—	34	1	no	—
1427	C₂×D₄	—	34	1	no	—
1428	C₂×D₄	—	34	1	no	—
1429	C₂×D₄	—	34	1	no	—
1430	C₂×D₄	—	34	1	no	—
1431	C₂×D₄	—	34	1	no	—
1432	C₂×D₄	—	34	2	no	—
1433	C₂×D₄	—	34	1	no	—
1434	C₂×D₄	—	34	1	no	—
1435	C₂×D₄	—	34	1	no	—
1436	C₂×D₄	—	34	1	no	—
1437	C₂×D₄	—	34	1	no	—
1438	C₂×D₄	—	34	1	no	—
1439	C₂×D₄	—	68	1	no	—
1440	C₂×D₄	—	68	1	no	—
1441	C₂×D₄	—	68	1	no	—
1442	C₂×D₄	—	68	1	no	—
1443	C₂×D₄	—	68	4	no	—
1444	C₂×D₄	—	68	4	no	—
1445	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1446	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1447	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	17	1	no	—
1451	C₂²×C₄	—	17	1	no	—
1452	C₂²×C₄	—	17	1	no	—
1453	C₂²×C₄	—	17	1	no	—
1454	C₂²×C₄	—	17	1	no	—
1455	C₂²×C₄	—	17	1	no	—
1456	C₂²×C₄	—	34	1	no	—
1457	C₂²×C₄	—	34	1	no	—
1458	C₂²×C₄	—	34	1	no	—
1459	C₂²×C₄	—	34	1	no	—
1460	C₂²×C₄	—	34	1	no	—
1461	C₂²×C₄	—	34	1	no	—
1462	C₂²×C₄	—	34	1	no	—
1463	C₂²×C₄	—	34	1	no	—
1464	C₂²×C₄	—	34	1	no	—
1465	C₂²×C₄	—	34	1	no	—
1466	C₂²×C₄	—	34	1	no	—
1467	C₂²×C₄	—	34	1	no	—
1468	C₂²×C₄	—	34	1	no	—
1469	C₂²×C₄	—	34	1	no	—
1470	C₂²×C₄	—	34	1	no	—
1471	C₂²×C₄	—	34	1	no	—
1472	C₂²×C₄	—	136	2	no	—
1473	C₂²×C₄	—	136	2	no	—
1474	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
1475	C₂²×C₄	D₄×D₁₇	1	1	yes	characteristic
1476	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1477	Q₁₆	—	4	1	no	—
1478	Q₁₆	—	4	1	no	—
1479	Q₁₆	—	68	1	no	—
1480	SD₁₆	—	4	1	no	—
1481	SD₁₆	—	4	1	no	—
1482	SD₁₆	—	4	1	no	—
1483	SD₁₆	—	4	1	no	—
1484	SD₁₆	—	34	2	no	—
1485	SD₁₆	—	34	2	no	—
1486	SD₁₆	—	34	2	no	—
1487	SD₁₆	—	68	1	no	—
1488	SD₁₆	—	68	1	no	—
1489	SD₁₆	—	68	1	no	—
1490	SD₁₆	—	68	1	no	—
1491	SD₁₆	—	68	1	no	—
1492	D₈	—	4	1	no	—
1493	D₈	—	4	1	no	—
1494	D₈	—	34	2	no	—
1495	D₈	—	34	2	no	—
1496	D₈	—	34	2	no	—
1497	D₈	—	68	1	no	—
1498	D₈	—	68	1	no	—
1499	D₈	—	68	1	no	—
1500	D₈	—	68	1	no	—
1501	C₂×C₈	—	17	1	no	—
1502	C₂×C₈	—	17	1	no	—
1503	C₂×C₈	—	17	1	no	—
1504	C₂×C₈	—	17	1	no	—
1505	C₂×C₈	—	68	1	no	—
1506	C₂×C₈	—	68	1	no	—
1507	C₂×C₈	—	68	1	no	—
1508	C₂×C₈	—	68	1	no	—
1509	C₂×C₈	—	68	1	no	—
1510	C₂×C₈	—	68	1	no	—
1511	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1512	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1513	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1514	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	17	1	no	—
1520	C₄⋊C₄	—	17	1	no	—
1521	C₄⋊C₄	—	17	1	no	—
1522	C₄⋊C₄	—	17	1	no	—
1523	C₄⋊C₄	—	17	1	no	—
1524	C₄⋊C₄	—	17	1	no	—
1525	C₄⋊C₄	—	17	1	no	—
1526	C₄⋊C₄	—	17	1	no	—
1527	C₄⋊C₄	—	17	1	no	—
1528	C₄⋊C₄	—	17	1	no	—
1529	C₄⋊C₄	—	34	1	no	—
1530	C₄⋊C₄	—	34	1	no	—
1531	C₄⋊C₄	—	34	1	no	—
1532	C₄⋊C₄	—	34	1	no	—
1533	C₄⋊C₄	—	34	1	no	—
1534	C₄⋊C₄	—	34	1	no	—
1535	C₄⋊C₄	—	34	1	no	—
1536	C₄⋊C₄	—	34	1	no	—
1537	C₄⋊C₄	—	34	1	no	—
1538	C₄⋊C₄	—	34	1	no	—
1539	C₄⋊C₄	—	34	1	no	—
1540	C₄⋊C₄	—	34	1	no	—
1541	C₄⋊C₄	—	34	1	no	—
1542	C₄⋊C₄	—	34	1	no	—
1543	C₄⋊C₄	—	34	1	no	—
1544	C₄⋊C₄	—	34	1	no	—
1545	C₄⋊C₄	—	34	1	no	—
1546	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	17	1	no	—
1562	C₂²⋊C₄	—	17	1	no	—
1563	C₂²⋊C₄	—	17	1	no	—
1564	C₂²⋊C₄	—	17	1	no	—
1565	C₂²⋊C₄	—	17	1	no	—
1566	C₂²⋊C₄	—	17	1	no	—
1567	C₂²⋊C₄	—	34	1	no	—
1568	C₂²⋊C₄	—	34	1	no	—
1569	C₂²⋊C₄	—	34	1	no	—
1570	C₂²⋊C₄	—	34	1	no	—
1571	C₂²⋊C₄	—	34	1	no	—
1572	C₂²⋊C₄	—	34	1	no	—
1573	C₂²⋊C₄	—	34	1	no	—
1574	C₂²⋊C₄	—	34	1	no	—
1575	C₂²⋊C₄	—	34	1	no	—
1576	C₂²⋊C₄	—	34	1	no	—
1577	C₂²⋊C₄	—	34	1	no	—
1578	C₂²⋊C₄	—	34	1	no	—
1579	C₂²⋊C₄	—	34	1	no	—
1580	C₂²⋊C₄	—	34	1	no	—
1581	C₂²⋊C₄	—	34	1	no	—
1582	C₂²⋊C₄	—	34	1	no	—
1583	C₂²⋊C₄	—	34	1	no	—
1584	C₂²⋊C₄	—	34	1	no	—
1585	C₂²⋊C₄	—	34	1	no	—
1586	C₂²⋊C₄	—	34	1	no	—
1587	C₂²⋊C₄	—	34	1	no	—
1588	C₂²⋊C₄	—	34	1	no	—
1589	C₂²⋊C₄	—	34	1	no	—
1590	C₂²⋊C₄	—	34	1	no	—
1591	C₂²⋊C₄	—	34	1	no	—
1592	C₂²⋊C₄	—	34	1	no	—
1593	C₂²⋊C₄	—	34	1	no	—
1594	C₂²⋊C₄	—	34	1	no	—
1595	C₂²⋊C₄	—	34	1	no	—
1596	C₄²	—	2	1	no	—
1597	C₄²	—	17	1	no	—
1598	C₄²	—	17	1	no	—
1599	C₄²	—	17	1	no	—
1600	C₄²	—	17	1	no	—
1601	C₄²	—	17	1	no	—
1602	C₄²	—	17	1	no	—
1603	C₄²	—	34	1	no	—
1604	C₄²	—	34	1	no	—
1605	C₄²	—	34	1	no	—
1606	C₄²	—	34	1	no	—
1607	C₄²	—	34	1	no	—
1608	C₄²	D₄×D₁₇	1	1	yes	characteristic
1609	C₄²	D₄×D₁₇	1	1	yes	characteristic
1610	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1611	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	4	2	no	—
1616	C₂³	—	8	1	no	—
1617	C₂³	—	8	1	no	—
1618	C₂³	—	17	1	no	—
1619	C₂³	—	17	1	no	—
1620	C₂³	—	34	1	no	—
1621	C₂³	—	34	1	no	—
1622	C₂³	—	34	1	no	—
1623	C₂³	—	68	2	no	—
1624	C₂³	—	68	2	no	—
1625	C₂³	—	68	2	no	—
1626	C₂³	—	68	2	no	—
1627	C₂³	—	68	2	no	—
1628	C₂³	—	136	1	no	—
1629	C₂³	—	136	1	no	—
1630	C₂³	—	136	1	no	—
1631	C₂³	—	136	1	no	—
1632	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	2	1	no	—
1637	Q₈	—	2	1	no	—
1638	Q₈	—	2	1	no	—
1639	Q₈	—	8	1	no	—
1640	Q₈	—	34	2	no	—
1641	Q₈	—	34	1	no	—
1642	Q₈	—	34	1	no	—
1643	Q₈	—	136	1	no	—
1644	Q₈	—	136	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	2	1	no	—
1651	D₄	—	4	2	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	17	4	no	—
1654	D₄	—	17	2	no	—
1655	D₄	—	34	2	no	—
1656	D₄	—	34	2	no	—
1657	D₄	—	34	1	no	—
1658	D₄	—	34	1	no	—
1659	D₄	—	34	1	no	—
1660	D₄	—	34	1	no	—
1661	D₄	—	34	1	no	—
1662	D₄	—	68	2	no	—
1663	D₄	—	68	2	no	—
1664	D₄	—	68	2	no	—
1665	D₄	—	68	2	no	—
1666	D₄	—	68	2	no	—
1667	D₄	—	68	2	no	—
1668	D₄	—	68	2	no	—
1669	D₄	—	68	2	no	—
1670	D₄	—	136	1	no	—
1671	D₄	—	136	1	no	—
1672	D₄	—	136	1	no	—
1673	D₄	—	136	1	no	—
1674	D₄	—	136	1	no	—
1675	D₄	—	136	1	no	—
1676	D₄	—	136	1	no	—
1677	D₄	—	136	1	no	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	4	1	no	—
1687	C₂×C₄	—	4	2	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	17	1	no	—
1690	C₂×C₄	—	17	1	no	—
1691	C₂×C₄	—	17	1	no	—
1692	C₂×C₄	—	17	1	no	—
1693	C₂×C₄	—	17	1	no	—
1694	C₂×C₄	—	17	1	no	—
1695	C₂×C₄	—	34	2	no	—
1696	C₂×C₄	—	34	2	no	—
1697	C₂×C₄	—	34	1	no	—
1698	C₂×C₄	—	34	1	no	—
1699	C₂×C₄	—	34	1	no	—
1700	C₂×C₄	—	34	1	no	—
1701	C₂×C₄	—	34	1	no	—
1702	C₂×C₄	—	34	1	no	—
1703	C₂×C₄	—	34	1	no	—
1704	C₂×C₄	—	34	1	no	—
1705	C₂×C₄	—	34	1	no	—
1706	C₂×C₄	—	68	1	no	—
1707	C₂×C₄	—	68	1	no	—
1708	C₂×C₄	—	68	2	no	—
1709	C₂×C₄	—	68	2	no	—
1710	C₂×C₄	—	68	2	no	—
1711	C₂×C₄	—	68	2	no	—
1712	C₂×C₄	—	68	2	no	—
1713	C₂×C₄	—	136	1	no	—
1714	C₂×C₄	—	136	1	no	—
1715	C₂×C₄	—	136	1	no	—
1716	C₂×C₄	—	136	1	no	—
1717	C₂×C₄	—	136	1	no	—
1718	C₂×C₄	—	136	1	no	—
1719	C₂×C₄	—	136	1	no	—
1720	C₂×C₄	—	136	1	no	—
1721	C₂×C₄	—	136	1	no	—
1722	C₂×C₄	—	136	1	no	—
1723	C₂×C₄	—	136	1	no	—
1724	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1728	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1729	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	34	1	no	—
1735	C₈	—	34	1	no	—
1736	C₈	—	34	1	no	—
1737	C₈	—	34	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	16	2	no	—
1750	C₂²	—	272	2	no	—
1751	C₂²	—	17	2	no	—
1752	C₂²	—	34	1	no	—
1753	C₂²	—	34	1	no	—
1754	C₂²	—	34	1	no	—
1755	C₂²	—	34	2	no	—
1756	C₂²	—	34	1	no	—
1757	C₂²	—	34	1	no	—
1758	C₂²	—	68	1	no	—
1759	C₂²	—	68	1	no	—
1760	C₂²	—	68	1	no	—
1761	C₂²	—	68	1	no	—
1762	C₂²	—	68	1	no	—
1763	C₂²	—	68	1	no	—
1764	C₂²	—	68	1	no	—
1765	C₂²	—	68	1	no	—
1766	C₂²	—	136	4	no	—
1767	C₂²	—	136	4	no	—
1768	C₂²	#135×D₁₇	1	2	yes	—
1769	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	17	2	no	—
1781	C₄	—	34	1	no	—
1782	C₄	—	34	1	no	—
1783	C₄	—	34	1	no	—
1784	C₄	—	34	1	no	—
1785	C₄	—	34	1	no	—
1786	C₄	—	68	1	no	—
1787	C₄	—	68	1	no	—
1788	C₄	—	68	1	no	—
1789	C₄	—	68	1	no	—
1790	C₄	—	68	1	no	—
1791	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1792	C₄	#11763644	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	8	1	no	—
1795	C₂	—	8	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	34	2	no	—
1798	C₂	—	68	1	no	—
1799	C₂	—	68	2	no	—
1800	C₂	—	136	1	no	—
1801	C₂	—	136	1	no	—
1802	C₂	#14542451	1	1	yes	characteristic
1803	C₂	C₂×#135×D₁₇	1	1	yes	characteristic
1804	C₂	#14543561	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×#3211	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3211	D₁₇
hypocenter	C₁₇	#61955
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3211

Complements

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

N	H ≅ G/N	type
1. #14542739	C₂	semidirect
2. #14542390	C₂	semidirect
3. #14541793	C₂	semidirect
4. #14541777	C₂	semidirect
5. #14541441	C₂	semidirect
6. #14541430	C₂	semidirect
7. #14540690	C₂	semidirect
8. #14540685	C₂	semidirect
9. #14540653	C₂	semidirect
10. #14540638	C₂	semidirect
11. #14540633	C₂	semidirect
12. #14540601	C₂	semidirect
13. #14540490	C₂	semidirect
14. #14540484	C₂	semidirect
15. #14540473	C₂	semidirect
16. #14540468	C₂	semidirect
17. #14540462	C₂	semidirect
18. #14540454	C₂	semidirect
19. #14540134	C₂	semidirect
20. #14540131	C₂	semidirect
21. #14540107	C₂	semidirect
22. #14539753	C₂	semidirect
23. #14539716	C₂	semidirect
24. #14538833	C₂	semidirect
25. #14538830	C₂	semidirect
26. #14538801	C₂	semidirect
27. #14538238	C₂	semidirect
28. C₂×#11763021	C₂	semidirect
29. D₁₇×#463	C₂	semidirect
30. #14537892	C₂	semidirect
31. C₁₇×#3211	C₂	semidirect
32. C₂×#10587605	C₂²	semidirect
33. C₂×#10587602	C₂²	semidirect
34. C₂²×#63230	C₂²	semidirect
35. C₂×SD₁₆×D₁₇	C₂²	semidirect
38. #11763541	C₂²	semidirect
39. #11763541	C₂²	semidirect
40. #11763528	C₂²	semidirect
43. #11763515	C₂²	semidirect
44. #11763512	C₂²	semidirect
45. #11763511	C₂²	semidirect
52. #11763470	C₂²	semidirect
53. #11763467	C₂²	semidirect
54. #11763453	C₂²	semidirect
55. #11763452	C₂²	semidirect
56. #11763452	C₂²	semidirect
58. #11763450	C₂²	semidirect
65. #11763358	C₂²	semidirect
66. #11763356	C₂²	semidirect
67. #11763346	C₂²	semidirect
68. #11763343	C₂²	semidirect
69. #11763338	C₂²	semidirect
70. #11763338	C₂²	semidirect
72. #124×D₁₇	C₂²	semidirect
76. C₄×#63256	C₂²	semidirect
78. C₂×C₄×D₆₈	C₂²	semidirect
80. C₄×D₄×D₁₇	C₂²	semidirect
81. #11763194	C₂²	semidirect
82. #11763190	C₂²	semidirect
84. #11763180	C₂²	semidirect
85. #11763165	C₂²	semidirect
86. #11763162	C₂²	semidirect
87. #11763158	C₂²	semidirect
88. #11763154	C₂²	semidirect
89. #11763148	C₂²	semidirect
90. #11763145	C₂²	semidirect
91. #11763143	C₂²	semidirect
92. #11763131	C₂²	semidirect
93. #11763128	C₂²	semidirect
94. #11763126	C₂²	semidirect
95. #11763116	C₂²	semidirect
96. #11763114	C₂²	semidirect
97. #11763113	C₂²	semidirect
98. #11763110	C₂²	semidirect
99. #11763110	C₂²	semidirect
100. #11763109	C₂²	semidirect
101. #11763107	C₂²	semidirect
102. #11763106	C₂²	semidirect
103. #11763102	C₂²	semidirect
104. #11763097	C₂²	semidirect
105. #11763048	C₂²	semidirect
106. #11763047	C₂²	semidirect
108. #11763044	C₂²	semidirect
110. #11763042	C₂²	semidirect
111. #11763041	C₂²	semidirect
112. #11763041	C₂²	semidirect
113. #11763040	C₂²	semidirect
114. #11763036	C₂²	semidirect
115. #11763035	C₂²	semidirect
116. #11763035	C₂²	semidirect
117. #11763033	C₂²	semidirect
118. #11763031	C₂²	semidirect
119. #11763028	C₂²	semidirect
120. #11763027	C₂²	semidirect
121. #11763026	C₂²	semidirect
122. #11763026	C₂²	semidirect
123. #11763025	C₂²	semidirect
124. #11763025	C₂²	semidirect
125. #11763024	C₂²	semidirect
127. #11763022	C₂²	semidirect
130. #11763021	C₂²	semidirect
131. #11763021	C₂²	semidirect
132. #11763021	C₂²	semidirect
133. #11763021	C₂²	semidirect
134. #11763021	C₂²	semidirect
135. #11763021	C₂²	semidirect
136. #11763021	C₂²	semidirect
137. #11763017	C₂²	semidirect
138. #11763013	C₂²	semidirect
139. #11763007	C₂²	semidirect
140. #11763007	C₂²	semidirect
143. #11762970	C₂²	semidirect
144. #11762963	C₂²	semidirect
145. #11762962	C₂²	semidirect
146. #11762958	C₂²	semidirect
147. #11762958	C₂²	semidirect
148. #11762957	C₂²	semidirect
149. #11762955	C₂²	semidirect
151. #11762953	C₂²	semidirect
152. #11762951	C₂²	semidirect
153. #11762949	C₂²	semidirect
157. C₈×Dic₃₄	C₂²	semidirect
158. C₈×Dic₃₄	C₂²	semidirect
159. Q₁₆×Dic₁₇	C₂²	semidirect
160. C₄×#63219	C₂²	semidirect
161. C₄×#63219	C₂²	semidirect
162. SD₁₆×Dic₁₇	C₂²	semidirect
163. SD₁₆×Dic₁₇	C₂²	semidirect
164. #11762894	C₂²	semidirect
165. #11762894	C₂²	semidirect
166. C₄×D₁₃₆	C₂²	semidirect
167. C₄×D₁₃₆	C₂²	semidirect
168. D₈×Dic₁₇	C₂²	semidirect
170. #11762889	C₂²	semidirect
171. C₈×D₆₈	C₂²	semidirect
172. C₈×D₆₈	C₂²	semidirect
175. #11762872	C₂²	semidirect
176. #11762872	C₂²	semidirect
177. #11762861	C₂²	semidirect
178. #11762861	C₂²	semidirect
179. C₂×C₄⋊#3622	C₂²	semidirect
180. C₄⋊C₈×D₁₇	C₂²	semidirect
181. C₄⋊C₈×D₁₇	C₂²	semidirect
182. #11762804	C₂²	semidirect
183. #11762802	C₂²	semidirect
184. C₂×#10587506	C₂²	semidirect
185. #103×D₁₇	C₂²	semidirect
186. C₂×#10587503	C₂²	semidirect
187. #102×D₁₇	C₂²	semidirect
188. C₁₇×#529	C₂²	semidirect
189. C₂×C₁₇×#124	C₂²	semidirect
190. C₁₇×#495	C₂²	semidirect
191. C₁₇×#495	C₂²	semidirect
192. C₁₇×#488	C₂²	semidirect
193. C₁₇×#488	C₂²	semidirect
194. C₁₇×#464	C₂²	semidirect
195. C₁₇×#464	C₂²	semidirect
196. C₁₇×#463	C₂²	semidirect
197. C₁₇×#463	C₂²	semidirect
198. C₁₇×#451	C₂²	semidirect
199. C₁₇×#450	C₂²	semidirect
200. C₁₇×#448	C₂²	semidirect
202. C₁₇×#431	C₂²	semidirect
775. C₂²⋊D₁₇	#135	semidirect
858. #3211	D₁₇	semidirect
962. #529	C₂×D₁₇	semidirect
964. C₂×#124	C₂×D₁₇	semidirect
975. #495	C₂×D₁₇	semidirect
976. #495	C₂×D₁₇	semidirect
981. #488	C₂×D₁₇	semidirect
982. #488	C₂×D₁₇	semidirect
1016. #464	C₂×D₁₇	semidirect
1017. #464	C₂×D₁₇	semidirect
1035. #463	C₂×D₁₇	semidirect
1036. #463	C₂×D₁₇	semidirect
1045. #451	C₂×D₁₇	semidirect
1049. #450	C₂×D₁₇	semidirect
1056. #448	C₂×D₁₇	semidirect
1083. #431	C₂×D₁₇	semidirect
1386. C₁₇	#61955	semidirect

Maximal subgroups

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

subgroup	index
#14542739	2
#14542390	2
#14541793	2
#14541777	2
#14541441	2
#14541430	2
#14540690	2
#14540685	2
#14540653	2
#14540638	2
#14540633	2
#14540601	2
#14540490	2
#14540484	2
#14540473	2
#14540468	2
#14540462	2
#14540454	2
#14540134	2
#14540131	2
#14540107	2
#14539753	2
#14539716	2
#14538833	2
#14538830	2
#14538801	2
#14538238	2
C₂×#11763021	2
D₁₇×#463	2
#14537892	2
C₁₇×#3211	2
#61955	17