Subgroups — #17920393

Order 4352.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543009	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542418	C₂	1	1	yes	maximal, characteristic, complemented
3	#14540872	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540864	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540752	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540744	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540611	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540607	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540600	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540596	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540490	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540486	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540468	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540464	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540278	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540274	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540263	C₂	1	1	yes	maximal, characteristic, complemented
18	#14540259	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539878	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539640	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539632	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539563	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539547	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538970	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538962	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538092	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538086	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₇×#447	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537839	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587696	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587600	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587597	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587605	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587602	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
39	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
42	#11763556	—	2	1	no	—
43	#11763553	—	2	1	no	—
44	#11763520	C₂²	1	1	yes	characteristic, complemented
45	#11763519	C₂²	1	1	yes	characteristic, complemented
46	#11763471	C₂²	1	1	yes	characteristic, complemented
47	#11763467	C₂²	1	1	yes	characteristic, complemented
48	#11763464	C₂²	1	1	yes	characteristic, complemented
49	#11763462	C₂²	1	1	yes	characteristic, complemented
50	#11763456	—	2	1	no	—
51	#11763456	—	2	1	no	—
52	#11763454	C₂²	1	1	yes	characteristic, complemented
53	#11763452	—	2	1	no	—
54	#11763452	C₂²	1	1	yes	characteristic
55	#11763452	C₂²	1	1	yes	characteristic
56	#11763452	C₂²	1	1	yes	characteristic, complemented
57	#11763452	C₂²	1	1	yes	characteristic, complemented
58	#11763452	C₂²	1	1	yes	characteristic, complemented
59	#11763451	—	2	1	no	—
60	#11763444	C₂²	1	1	yes	characteristic
61	#11763444	C₂²	1	1	yes	characteristic
62	#11763444	C₂²	1	1	yes	characteristic, complemented
63	#11763444	C₂²	1	1	yes	characteristic, complemented
64	#11763443	—	2	1	no	—
65	#11763443	—	2	1	no	—
66	#11763434	—	2	1	no	—
67	#11763430	C₂²	1	1	yes	characteristic, complemented
68	#11763400	—	2	1	no	—
69	#11763398	—	2	1	no	—
70	#11763389	—	2	1	no	—
71	#11763389	C₂²	1	1	yes	characteristic, complemented
72	#11763388	C₂²	1	1	yes	characteristic, complemented
73	#11763376	C₂²	1	1	yes	characteristic, complemented
74	#11763369	—	2	1	no	—
75	#11763369	—	2	1	no	—
76	#11763321	C₂²	1	1	yes	characteristic
77	#11763316	C₂²	1	1	yes	characteristic
78	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
79	#121×D₁₇	C₂²	1	1	yes	characteristic, complemented
80	#120×D₁₇	—	2	1	no	—
81	#120×D₁₇	—	2	1	no	—
82	#11763283	C₂²	1	1	yes	characteristic, complemented
83	#11763196	C₂²	1	1	yes	characteristic, complemented
84	#11763191	C₂²	1	1	yes	characteristic, complemented
85	#11763168	C₂²	1	1	yes	characteristic, complemented
86	#11763155	C₂²	1	1	yes	characteristic, complemented
87	#11763151	C₂²	1	1	yes	characteristic, complemented
88	#11763147	C₂²	1	1	yes	characteristic, complemented
89	#11763143	C₂²	1	1	yes	characteristic, complemented
90	#11763138	C₂²	1	1	yes	characteristic, complemented
91	#11763134	C₂²	1	1	yes	characteristic, complemented
92	#11763130	C₂²	1	1	yes	characteristic, complemented
93	#11763126	C₂²	1	1	yes	characteristic, complemented
94	#11763126	C₂²	1	1	yes	characteristic, complemented
95	#11763126	C₂²	1	1	yes	characteristic, complemented
96	#11763121	C₂²	1	1	yes	characteristic, complemented
97	#11763121	C₂²	1	1	yes	characteristic, complemented
98	#11763121	C₂²	1	1	yes	characteristic, complemented
99	#11763100	C₂²	1	1	yes	characteristic, complemented
100	#11763096	C₂²	1	1	yes	characteristic, complemented
101	#11763090	C₂²	1	1	yes	characteristic, complemented
102	#11763086	C₂²	1	1	yes	characteristic, complemented
103	#11763061	C₂²	1	1	yes	characteristic, complemented
104	#11763059	C₂²	1	1	yes	characteristic, complemented
105	#11763054	C₂²	1	1	yes	characteristic, complemented
106	#11763052	C₂²	1	1	yes	characteristic, complemented
107	#11763049	C₂²	1	1	yes	characteristic, complemented
108	#11763047	C₂²	1	1	yes	characteristic, complemented
109	#11763044	C₂²	1	1	yes	characteristic, complemented
110	#11763044	C₂²	1	1	yes	characteristic, complemented
111	#11763042	C₂²	1	1	yes	characteristic, complemented
112	#11763042	C₂²	1	1	yes	characteristic, complemented
113	#11763041	C₂²	1	1	yes	characteristic, complemented
114	#11763037	C₂²	1	1	yes	characteristic, complemented
115	#11763037	C₂²	1	1	yes	characteristic, complemented
116	#11763035	C₂²	1	1	yes	characteristic, complemented
117	#11763035	C₂²	1	1	yes	characteristic, complemented
118	#11763035	C₂²	1	1	yes	characteristic, complemented
119	#11763028	C₂²	1	1	yes	characteristic, complemented
120	#11763025	C₂²	1	1	yes	characteristic, complemented
121	#11763025	C₂²	1	1	yes	characteristic, complemented
122	#11763021	C₂²	1	1	yes	characteristic, complemented
123	#11763021	C₂²	1	1	yes	characteristic, complemented
124	#11763021	C₂²	1	1	yes	characteristic, complemented
125	#11763006	C₂²	1	1	yes	characteristic, complemented
126	#11763001	C₂²	1	1	yes	characteristic, complemented
127	#11762974	C₂²	1	1	yes	characteristic, complemented
128	#11762971	C₂²	1	1	yes	characteristic, complemented
129	#11762970	C₂²	1	1	yes	characteristic, complemented
130	#11762963	C₂²	1	1	yes	characteristic, complemented
131	#11762962	C₂²	1	1	yes	characteristic, complemented
132	#11762961	C₂²	1	1	yes	characteristic, complemented
133	#11762961	C₂²	1	1	yes	characteristic, complemented
134	#11762961	C₂²	1	1	yes	characteristic, complemented
135	#11762960	C₂²	1	1	yes	characteristic, complemented
136	#11762959	C₂²	1	1	yes	characteristic, complemented
137	#11762958	C₂²	1	1	yes	characteristic, complemented
138	#11762958	C₂²	1	1	yes	characteristic, complemented
139	#11762958	C₂²	1	1	yes	characteristic, complemented
140	#11762958	C₂²	1	1	yes	characteristic, complemented
141	#11762957	C₂²	1	1	yes	characteristic, complemented
142	#11762954	C₂²	1	1	yes	characteristic, complemented
143	#11762953	C₂²	1	1	yes	characteristic, complemented
144	#11762953	C₂²	1	1	yes	characteristic, complemented
145	#11762953	C₂²	1	1	yes	characteristic, complemented
146	#11762951	C₂²	1	1	yes	characteristic, complemented
147	#11762951	C₂²	1	1	yes	characteristic, complemented
148	#11762946	C₂²	1	1	yes	characteristic, complemented
149	#11762945	C₂²	1	1	yes	characteristic
150	#11762944	C₂²	1	1	yes	characteristic, complemented
151	#11762944	C₂²	1	1	yes	characteristic, complemented
152	#11762944	C₂²	1	1	yes	characteristic, complemented
153	#11762943	C₂²	1	1	yes	characteristic, complemented
154	#11762942	C₂²	1	1	yes	characteristic
155	#11762941	C₂²	1	1	yes	characteristic, complemented
156	#11762941	C₂²	1	1	yes	characteristic, complemented
157	#11762941	C₂²	1	1	yes	characteristic, complemented
158	#11762941	C₂²	1	1	yes	characteristic, complemented
159	#11762922	C₂²	1	1	yes	characteristic, complemented
160	#11762919	C₂²	1	1	yes	characteristic, complemented
161	#11762911	C₂²	1	1	yes	characteristic, complemented
162	#11762907	C₂²	1	1	yes	characteristic, complemented
163	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
164	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
165	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
166	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
167	#11762882	C₂²	1	1	yes	characteristic, complemented
168	#11762882	C₂²	1	1	yes	characteristic, complemented
169	#11762879	C₂²	1	1	yes	characteristic, complemented
170	#11762879	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	#11762874	C₂²	1	1	yes	characteristic, complemented
174	#11762874	C₂²	1	1	yes	characteristic, complemented
175	#11762870	C₂²	1	1	yes	characteristic, complemented
176	#11762809	C₂²	1	1	yes	characteristic, complemented
177	#11762809	C₂²	1	1	yes	characteristic, complemented
178	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
179	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
180	#102×D₁₇	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	#11762774	C₂²	1	1	yes	characteristic, complemented
185	#11762774	C₂²	1	1	yes	characteristic, complemented
186	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
187	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#542	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#535	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#496	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#495	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#489	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#486	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#460	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#449	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#447	C₂²	1	1	yes	characteristic, complemented
202	C₁₇×#433	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	#10587696	—	4	2	no	—
208	#10587696	—	4	2	no	—
209	C₂×#63256	—	2	1	no	—
210	C₂×#63256	C₂³	1	1	yes	characteristic
211	C₂×#63256	C₂³	1	1	yes	characteristic
212	C₂×#63256	C₂³	1	1	yes	characteristic, complemented
213	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
214	C₂×#63254	C₂³	1	1	yes	characteristic, complemented
215	C₂×D₄×D₁₇	—	2	1	no	—
216	C₂×D₄×D₁₇	—	2	1	no	—
217	C₂×D₄×D₁₇	—	2	1	no	—
218	C₂×D₄×D₁₇	—	2	1	no	—
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	—	2	1	no	—
223	C₂×D₄×D₁₇	—	2	1	no	—
224	C₂×D₄×D₁₇	—	4	2	no	—
225	C₂×D₄×D₁₇	—	4	2	no	—
226	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
232	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
233	C₂×#63252	—	2	1	no	—
234	C₂×#63252	—	2	1	no	—
235	C₂×#63252	C₂³	1	1	yes	characteristic
236	C₂²×D₆₈	—	2	1	no	—
237	C₂²×D₆₈	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
239	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
240	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
241	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
242	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
243	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
244	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
245	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
247	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
248	C₁₇×#127	C₂³	1	1	yes	characteristic
249	C₁₇×#127	C₂³	1	1	yes	characteristic
250	C₁₇×#126	—	2	1	no	—
251	C₁₇×#124	—	2	1	no	—
252	C₁₇×#124	C₂³	1	1	yes	characteristic
253	C₁₇×#124	C₂³	1	1	yes	characteristic
254	C₁₇×#124	C₂³	1	1	yes	characteristic, complemented
255	C₁₇×#123	—	2	1	no	—
256	C₁₇×C₂²⋊Q₈	—	2	1	no	—
257	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₇×#121	—	2	1	no	—
259	C₁₇×#121	—	2	1	no	—
260	C₁₇×#121	C₂³	1	1	yes	characteristic
261	C₁₇×#120	—	2	1	no	—
262	C₁₇×#120	—	2	1	no	—
263	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
264	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
265	C₁₇×#117	C₂³	1	1	yes	characteristic
266	#10587639	—	2	1	no	—
267	#10587639	—	2	1	no	—
268	#10587632	—	2	1	no	—
269	#10587632	—	2	1	no	—
270	#10587632	—	2	1	no	—
271	#10587632	C₂³	1	1	yes	characteristic
272	#10587632	C₂³	1	1	yes	characteristic
273	#10587632	C₂³	1	1	yes	characteristic
274	#10587632	C₂³	1	1	yes	characteristic, complemented
275	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
276	C₂×#63230	C₂³	1	1	yes	characteristic
277	C₂×#63230	C₂³	1	1	yes	characteristic
278	C₂×#63230	C₂³	1	1	yes	characteristic, complemented
279	#10587626	—	2	1	no	—
280	#10587625	—	2	1	no	—
281	#10587625	—	2	1	no	—
282	#10587624	—	2	1	no	—
283	#10587624	—	2	1	no	—
284	#10587624	—	2	1	no	—
285	#10587624	—	2	1	no	—
286	#10587624	—	2	1	no	—
287	#10587624	C₂³	1	1	yes	characteristic
288	#10587624	C₂³	1	1	yes	characteristic
289	#10587624	C₂³	1	1	yes	characteristic
290	#10587624	C₂³	1	1	yes	characteristic
291	#10587624	C₂³	1	1	yes	characteristic
292	#10587624	C₂³	1	1	yes	characteristic
293	#10587624	C₂³	1	1	yes	characteristic
294	#10587624	C₂³	1	1	yes	characteristic, complemented
295	#10587623	—	2	1	no	—
296	#10587623	—	2	1	no	—
297	#10587623	—	2	1	no	—
298	#10587623	—	2	1	no	—
299	#10587623	—	2	1	no	—
300	#10587623	—	2	1	no	—
301	#10587623	—	2	1	no	—
302	#10587623	—	2	1	no	—
303	#10587623	—	2	1	no	—
304	#10587622	—	2	1	no	—
305	#10587621	—	2	1	no	—
306	C₂×#63229	C₂³	1	1	yes	characteristic
307	C₂×#63229	C₂³	1	1	yes	characteristic
308	C₂×#63229	C₂³	1	1	yes	characteristic, complemented
309	C₂×#63228	C₂³	1	1	yes	characteristic
310	C₂×#63228	C₂³	1	1	yes	characteristic
311	C₂×#63228	C₂³	1	1	yes	characteristic
312	C₂×#63228	C₂³	1	1	yes	characteristic
313	C₂×#63228	C₂³	1	1	yes	characteristic, complemented
314	#10587616	—	2	1	no	—
315	#10587616	C₂³	1	1	yes	characteristic
316	C₄×C₂²⋊D₁₇	—	2	1	no	—
317	C₄×C₂²⋊D₁₇	—	2	1	no	—
318	C₂×#63227	—	2	1	no	—
319	#10587612	C₂³	1	1	yes	characteristic
320	#10587610	—	2	1	no	—
321	#10587610	C₂³	1	1	yes	characteristic
322	#10587605	—	4	2	no	—
323	#10587602	—	4	2	no	—
324	#10587600	—	4	2	no	—
325	SD₁₆×D₁₇	—	4	2	no	—
326	SD₁₆×D₁₇	—	4	2	no	—
327	#10587597	—	4	2	no	—
328	D₈×D₁₇	—	4	2	no	—
329	D₈×D₁₇	—	4	2	no	—
330	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
331	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
332	C₂×#63219	C₂³	1	1	yes	characteristic
333	C₂×#63219	C₂³	1	1	yes	characteristic
334	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
335	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
336	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
341	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
342	#10587584	—	2	1	no	—
343	#10587583	—	2	1	no	—
344	#10587583	D₄	1	1	yes	characteristic
345	#10587583	D₄	1	1	yes	characteristic
346	#10587583	C₂³	1	1	yes	characteristic
347	#10587583	C₂³	1	1	yes	characteristic, complemented
348	#10587582	—	2	1	no	—
349	#10587582	—	2	1	no	—
350	#10587582	—	2	1	no	—
351	#10587582	—	2	1	no	—
352	#10587582	—	2	1	no	—
353	#10587581	—	2	1	no	—
354	#10587581	—	2	1	no	—
355	#10587581	D₄	1	1	yes	characteristic
356	#10587581	D₄	1	1	yes	characteristic
357	#10587581	C₂³	1	1	yes	characteristic
358	#10587581	C₂³	1	1	yes	characteristic, complemented
359	#10587580	—	2	1	no	—
360	#10587580	—	2	1	no	—
361	#10587579	—	2	1	no	—
362	#10587579	—	2	1	no	—
363	#10587579	—	2	1	no	—
364	C₄⋊C₄×D₁₇	—	2	1	no	—
365	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
367	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
368	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
369	#10587576	—	2	1	no	—
370	#10587572	—	2	1	no	—
371	#10587572	D₄	1	1	yes	characteristic
372	#10587572	D₄	1	1	yes	characteristic
373	#10587571	—	2	1	no	—
374	#10587571	—	2	1	no	—
375	#10587570	—	2	1	no	—
376	#10587570	—	2	1	no	—
377	#10587570	—	2	1	no	—
378	#10587570	—	2	1	no	—
379	#10587570	—	2	1	no	—
380	#10587570	—	2	1	no	—
381	#10587570	—	2	1	no	—
382	#10587570	—	2	1	no	—
383	#10587570	—	2	1	no	—
384	#10587570	—	2	1	no	—
385	#10587569	—	2	1	no	—
386	#10587569	—	2	1	no	—
387	#10587569	—	2	1	no	—
388	#10587569	—	2	1	no	—
389	#10587569	—	2	1	no	—
390	#10587569	—	2	1	no	—
391	#10587569	—	2	1	no	—
392	#10587569	—	2	1	no	—
393	#10587568	—	2	1	no	—
394	#10587568	—	2	1	no	—
395	#10587568	—	2	1	no	—
396	#10587568	—	2	1	no	—
397	#10587568	—	2	1	no	—
398	#10587568	—	2	1	no	—
399	#10587568	D₄	1	1	yes	characteristic
400	#10587568	D₄	1	1	yes	characteristic
401	#10587567	—	2	1	no	—
402	C₂²⋊C₄×D₁₇	—	2	1	no	—
403	C₂²⋊C₄×D₁₇	—	2	1	no	—
404	C₂²⋊C₄×D₁₇	—	2	1	no	—
405	C₂²⋊C₄×D₁₇	—	2	1	no	—
406	C₂²⋊C₄×D₁₇	—	2	1	no	—
407	C₂²⋊C₄×D₁₇	—	2	1	no	—
408	C₂²⋊C₄×D₁₇	—	2	1	no	—
409	C₂²⋊C₄×D₁₇	—	2	1	no	—
410	C₂²⋊C₄×D₁₇	—	2	1	no	—
411	#10587564	—	2	1	no	—
412	#10587564	—	2	1	no	—
413	#10587564	—	2	1	no	—
414	#10587561	—	2	1	no	—
415	#10587561	C₂³	1	1	yes	characteristic, complemented
416	C₄×D₆₈	—	2	1	no	—
417	C₄×D₆₈	—	2	1	no	—
418	C₄×D₆₈	C₂³	1	1	yes	characteristic
419	C₄×D₆₈	C₂³	1	1	yes	characteristic
420	C₄×D₆₈	C₂³	1	1	yes	characteristic
421	C₄×D₆₈	C₂³	1	1	yes	characteristic
422	C₄×D₆₈	C₂³	1	1	yes	characteristic
423	C₄×D₆₈	C₂³	1	1	yes	characteristic
424	C₄×D₆₈	C₂³	1	1	yes	characteristic
425	C₄×D₆₈	C₂³	1	1	yes	characteristic
426	C₄×D₆₈	C₂³	1	1	yes	characteristic, complemented
427	#10587556	—	2	1	no	—
428	#10587555	C₂³	1	1	yes	characteristic, complemented
429	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
430	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
431	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
432	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
433	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
434	C₁₇×#102	C₂³	1	1	yes	characteristic
435	C₁₇×#102	C₂³	1	1	yes	characteristic
436	C₁₇×#102	C₂³	1	1	yes	characteristic
437	C₁₇×#102	C₂³	1	1	yes	characteristic
438	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
439	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
440	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₁₇×#97	C₂³	1	1	yes	characteristic, complemented
443	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
444	#10587506	C₂³	1	1	yes	characteristic, complemented
445	#10587506	C₂³	1	1	yes	characteristic, complemented
446	#10587506	C₂³	1	1	yes	characteristic, complemented
447	#10587506	C₂³	1	1	yes	characteristic, complemented
448	#10587503	C₂³	1	1	yes	characteristic
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
451	#10587503	C₂³	1	1	yes	characteristic
452	#10587503	C₂³	1	1	yes	characteristic, complemented
453	#10587503	C₂³	1	1	yes	characteristic, complemented
454	#10587503	C₂³	1	1	yes	characteristic, complemented
455	#10587503	C₂³	1	1	yes	characteristic, complemented
456	C₂²⋊#3622	C₂³	1	1	yes	characteristic
457	C₂²⋊#3622	C₂³	1	1	yes	characteristic
458	#10587492	C₂³	1	1	yes	characteristic
459	#10587492	C₂³	1	1	yes	characteristic
460	#10587492	C₂³	1	1	yes	characteristic
461	#10587492	C₂³	1	1	yes	characteristic
462	#10587492	C₂³	1	1	yes	characteristic, complemented
463	#10587492	C₂³	1	1	yes	characteristic, complemented
464	#10587491	C₂³	1	1	yes	characteristic
465	#10587491	C₂³	1	1	yes	characteristic
466	#10587491	C₂³	1	1	yes	characteristic
467	#10587491	C₂³	1	1	yes	characteristic
468	#10587491	C₂³	1	1	yes	characteristic, complemented
469	#10587491	C₂³	1	1	yes	characteristic, complemented
470	#10587491	C₂³	1	1	yes	characteristic, complemented
471	#10587491	C₂³	1	1	yes	characteristic, complemented
472	#10587489	C₂³	1	1	yes	characteristic, complemented
473	#10587489	C₂³	1	1	yes	characteristic, complemented
474	#10587488	C₂³	1	1	yes	characteristic, complemented
475	#10587488	C₂³	1	1	yes	characteristic, complemented
476	#10587487	C₂³	1	1	yes	characteristic, complemented
477	#10587487	C₂³	1	1	yes	characteristic, complemented
478	#10587480	C₂³	1	1	yes	characteristic
479	#10587480	C₂³	1	1	yes	characteristic
480	#10587480	C₂³	1	1	yes	characteristic
481	#10587480	C₂³	1	1	yes	characteristic
482	#10587479	C₂³	1	1	yes	characteristic, complemented
483	#10587479	C₂³	1	1	yes	characteristic, complemented
484	#10587478	C₂³	1	1	yes	characteristic, complemented
485	#10587478	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
487	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
488	#10587474	C₂³	1	1	yes	characteristic, complemented
489	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂³×D₁₇	—	2	1	no	—
492	C₂³×D₁₇	—	2	1	no	—
493	C₂³×D₁₇	—	2	1	no	—
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	C₂³×D₁₇	—	2	1	no	—
497	C₂³×D₁₇	—	2	1	no	—
498	C₂³×D₁₇	—	2	1	no	—
499	C₂³×D₁₇	—	4	4	no	—
500	C₂³×D₁₇	—	8	2	no	—
501	C₂³×D₁₇	—	8	2	no	—
502	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
503	#41×C₁₇	—	4	1	no	—
504	#41×C₁₇	—	4	1	no	—
505	C₂×Q₈×C₁₇	—	2	1	no	—
506	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₇	—	2	1	no	—
509	C₂×D₄×C₁₇	—	2	1	no	—
510	C₂×D₄×C₁₇	—	2	1	no	—
511	C₂×D₄×C₁₇	—	2	1	no	—
512	C₂×D₄×C₁₇	—	2	1	no	—
513	C₂×D₄×C₁₇	—	2	1	no	—
514	C₂×D₄×C₁₇	—	2	1	no	—
515	C₂×D₄×C₁₇	—	4	1	no	—
516	C₂×D₄×C₁₇	—	4	1	no	—
517	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₇	—	2	1	no	—
522	C₂²×C₄×C₁₇	—	2	1	no	—
523	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₇	—	2	1	no	—
525	C₂×C₂²⋊D₁₇	—	2	1	no	—
526	C₂×C₂²⋊D₁₇	—	2	1	no	—
527	C₂×C₂²⋊D₁₇	—	2	1	no	—
528	C₂×C₂²⋊D₁₇	—	2	1	no	—
529	C₂×C₂²⋊D₁₇	—	2	1	no	—
530	C₂×C₂²⋊D₁₇	—	2	1	no	—
531	C₂×C₂²⋊D₁₇	—	2	1	no	—
532	C₂×C₂²⋊D₁₇	—	2	1	no	—
533	C₂×C₂²⋊D₁₇	—	2	1	no	—
534	C₂×C₂²⋊D₁₇	—	2	1	no	—
535	C₂×C₂²⋊D₁₇	—	2	1	no	—
536	C₂×C₂²⋊D₁₇	—	2	1	no	—
537	C₂×C₂²⋊D₁₇	—	2	1	no	—
538	C₂×C₂²⋊D₁₇	—	2	1	no	—
539	C₂×C₂²⋊D₁₇	—	2	1	no	—
540	C₂×C₂²⋊D₁₇	—	2	1	no	—
541	C₂×C₂²⋊D₁₇	—	4	4	no	—
542	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₁₇	—	2	1	no	—
545	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
546	#63256	—	2	2	no	—
547	#63256	—	2	2	no	—
548	#63256	—	4	1	no	—
549	#63256	—	4	1	no	—
550	#63256	—	4	1	no	—
551	#63256	—	4	1	no	—
552	#63256	—	8	2	no	—
553	Q₈×D₁₇	—	4	1	no	—
554	Q₈×D₁₇	—	4	1	no	—
555	#63254	—	4	1	no	—
556	#63254	—	4	1	no	—
557	D₄×D₁₇	—	2	2	no	—
558	D₄×D₁₇	—	2	2	no	—
559	D₄×D₁₇	—	2	2	no	—
560	D₄×D₁₇	—	2	2	no	—
561	D₄×D₁₇	—	2	2	no	—
562	D₄×D₁₇	—	2	2	no	—
563	D₄×D₁₇	—	4	1	no	—
564	D₄×D₁₇	—	4	1	no	—
565	D₄×D₁₇	—	4	1	no	—
566	D₄×D₁₇	—	4	1	no	—
567	D₄×D₁₇	—	4	1	no	—
568	D₄×D₁₇	—	4	1	no	—
569	D₄×D₁₇	—	4	1	no	—
570	D₄×D₁₇	—	4	1	no	—
571	D₄×D₁₇	—	4	4	no	—
572	D₄×D₁₇	—	4	4	no	—
573	D₄×D₁₇	—	4	4	no	—
574	D₄×D₁₇	—	4	4	no	—
575	D₄×D₁₇	—	8	2	no	—
576	D₄×D₁₇	—	8	2	no	—
577	D₄×D₁₇	—	8	2	no	—
578	D₄×D₁₇	—	8	2	no	—
579	D₄×D₁₇	—	8	2	no	—
580	#63252	—	4	1	no	—
581	#63252	—	4	1	no	—
582	#63252	—	4	4	no	—
583	#63252	—	8	2	no	—
584	C₂×D₆₈	—	2	1	no	—
585	C₂×D₆₈	—	2	2	no	—
586	C₂×D₆₈	—	2	2	no	—
587	C₂×D₆₈	—	2	1	no	—
588	C₂×D₆₈	—	2	1	no	—
589	C₂×D₆₈	—	2	1	no	—
590	C₂×D₆₈	—	2	1	no	—
591	C₂×D₆₈	—	2	1	no	—
592	C₂×D₆₈	—	4	4	no	—
593	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
594	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
595	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
596	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
597	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
598	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
599	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
600	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₁₇	—	2	1	no	—
602	C₂×C₄×D₁₇	—	2	1	no	—
603	C₂×C₄×D₁₇	—	2	1	no	—
604	C₂×C₄×D₁₇	—	2	1	no	—
605	C₂×C₄×D₁₇	—	2	1	no	—
606	C₂×C₄×D₁₇	—	2	1	no	—
607	C₂×C₄×D₁₇	—	2	1	no	—
608	C₂×C₄×D₁₇	—	2	1	no	—
609	C₂×C₄×D₁₇	—	2	1	no	—
610	C₂×C₄×D₁₇	—	2	1	no	—
611	C₂×C₄×D₁₇	—	2	1	no	—
612	C₂×C₄×D₁₇	—	2	1	no	—
613	C₂×C₄×D₁₇	—	2	1	no	—
614	C₂×C₄×D₁₇	—	4	1	no	—
615	C₂×C₄×D₁₇	—	4	1	no	—
616	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₃₄	—	2	1	no	—
623	C₂×Dic₃₄	—	2	1	no	—
624	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
625	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
626	Q₁₆×C₁₇	—	4	1	no	—
627	SD₁₆×C₁₇	—	4	1	no	—
628	SD₁₆×C₁₇	—	4	1	no	—
629	SD₁₆×C₁₇	—	4	1	no	—
630	SD₁₆×C₁₇	—	4	1	no	—
631	D₈×C₁₇	—	4	1	no	—
632	D₈×C₁₇	—	4	1	no	—
633	D₈×C₁₇	—	4	1	no	—
634	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₁₇	—	2	1	no	—
639	C₄⋊C₄×C₁₇	—	2	1	no	—
640	C₄⋊C₄×C₁₇	—	2	1	no	—
641	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
645	C₂²⋊C₄×C₁₇	—	2	1	no	—
646	C₂²⋊C₄×C₁₇	—	2	1	no	—
647	C₂²⋊C₄×C₁₇	—	2	1	no	—
648	C₂²⋊C₄×C₁₇	—	2	1	no	—
649	C₂²⋊C₄×C₁₇	—	2	1	no	—
650	C₂²⋊C₄×C₁₇	—	2	1	no	—
651	C₂²⋊C₄×C₁₇	—	2	1	no	—
652	C₂²⋊C₄×C₁₇	—	2	1	no	—
653	C₂²⋊C₄×C₁₇	—	2	1	no	—
654	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
656	C₄²×C₁₇	—	2	1	no	—
657	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
658	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
659	C₂²⋊Dic₁₇	—	2	1	no	—
660	C₂²⋊Dic₁₇	—	2	1	no	—
661	C₂²⋊Dic₁₇	—	2	1	no	—
662	C₂²⋊Dic₁₇	—	2	1	no	—
663	C₂²⋊Dic₁₇	—	2	1	no	—
664	C₂²⋊Dic₁₇	—	2	1	no	—
665	C₂²⋊Dic₁₇	—	2	1	no	—
666	C₂²⋊Dic₁₇	—	2	1	no	—
667	C₂²⋊Dic₁₇	—	2	1	no	—
668	C₂²⋊Dic₁₇	—	2	1	no	—
669	#63231	—	4	1	no	—
670	#63230	—	2	2	no	—
671	#63230	—	2	2	no	—
672	#63230	—	4	1	no	—
673	#63229	—	4	1	no	—
674	#63229	—	4	1	no	—
675	#63229	—	4	1	no	—
676	#63228	—	2	2	no	—
677	#63228	—	2	2	no	—
678	#63228	—	4	1	no	—
679	#63228	—	4	1	no	—
680	#63228	—	4	1	no	—
681	#63227	—	2	1	no	—
682	#63227	—	2	1	no	—
683	#63227	—	2	1	no	—
684	#63227	—	2	1	no	—
685	#63227	—	2	1	no	—
686	#63227	—	2	1	no	—
687	#63227	—	2	1	no	—
688	#63227	—	2	1	no	—
689	#63227	—	2	1	no	—
690	#63227	—	2	1	no	—
691	#63227	—	2	1	no	—
692	#63227	—	2	1	no	—
693	#63227	—	2	1	no	—
694	#63227	—	2	1	no	—
695	#63227	—	2	1	no	—
696	#63227	—	2	1	no	—
697	#63227	C₂×D₄	1	1	yes	characteristic
698	#63227	C₂×D₄	1	1	yes	characteristic
699	#63227	C₂×D₄	1	1	yes	characteristic
700	#63227	C₂×D₄	1	1	yes	characteristic
701	#63227	C₂×D₄	1	1	yes	characteristic
702	#63227	C₂×D₄	1	1	yes	characteristic
703	#63227	C₂×D₄	1	1	yes	characteristic
704	#63227	C₂×D₄	1	1	yes	characteristic
705	C₄⋊Dic₁₇	—	2	1	no	—
706	C₄⋊Dic₁₇	—	2	1	no	—
707	C₄⋊Dic₁₇	—	2	1	no	—
708	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
710	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
711	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
712	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
714	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
715	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
716	#63225	—	2	1	no	—
717	#63225	—	2	1	no	—
718	#63225	—	2	1	no	—
719	#63225	—	2	1	no	—
720	#63225	—	2	1	no	—
721	#63225	—	2	1	no	—
722	#63225	—	2	1	no	—
723	#63225	—	2	1	no	—
724	#63225	—	2	1	no	—
725	#63225	—	2	1	no	—
726	C₄×Dic₁₇	—	2	1	no	—
727	C₄×Dic₁₇	—	2	1	no	—
728	C₂×#3622	C₂⁴	1	1	yes	characteristic
729	C₂×#3622	C₂⁴	1	1	yes	characteristic
730	C₂×#3622	C₂⁴	1	1	yes	characteristic
731	C₂×#3622	C₂⁴	1	1	yes	characteristic
732	D₁₃₆	—	2	2	no	—
733	D₁₃₆	—	2	2	no	—
734	#63219	—	2	2	no	—
735	#63219	—	2	2	no	—
736	#63218	—	4	1	no	—
737	#63218	—	4	1	no	—
738	C₈×D₁₇	—	4	1	no	—
739	C₈×D₁₇	—	4	1	no	—
740	C₈×D₁₇	—	4	1	no	—
741	C₈×D₁₇	—	4	1	no	—
742	C₈×D₁₇	—	4	1	no	—
743	C₈×D₁₇	—	4	1	no	—
744	#61629	—	17	1	no	maximal, Sylow
745	C₂³×C₁₇	—	2	1	no	—
746	C₂³×C₁₇	—	2	1	no	—
747	C₂³×C₁₇	—	2	1	no	—
748	C₂³×C₁₇	—	2	1	no	—
749	C₂³×C₁₇	—	4	2	no	—
750	C₂³×C₁₇	—	8	1	no	—
751	C₂³×C₁₇	—	8	1	no	—
752	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
753	C₂²×D₁₇	—	2	1	no	—
754	C₂²×D₁₇	—	2	1	no	—
755	C₂²×D₁₇	—	2	4	no	—
756	C₂²×D₁₇	—	2	2	no	—
757	C₂²×D₁₇	—	2	2	no	—
758	C₂²×D₁₇	—	2	1	no	—
759	C₂²×D₁₇	—	4	1	no	—
760	C₂²×D₁₇	—	4	2	no	—
761	C₂²×D₁₇	—	4	2	no	—
762	C₂²×D₁₇	—	4	2	no	—
763	C₂²×D₁₇	—	4	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	—	4	2	no	—
770	C₂²×D₁₇	—	4	2	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	—	8	1	no	—
776	C₂²×D₁₇	—	8	1	no	—
777	C₂²×D₁₇	—	8	1	no	—
778	C₂²×D₁₇	—	8	1	no	—
779	C₂²×D₁₇	—	8	1	no	—
780	C₂²×D₁₇	—	8	1	no	—
781	C₂²×D₁₇	—	8	1	no	—
782	C₂²×D₁₇	—	8	1	no	—
783	C₂²×D₁₇	—	8	16	no	—
784	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
785	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
786	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
787	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
788	Q₈×C₁₇	—	2	1	no	—
789	Q₈×C₁₇	—	2	1	no	—
790	Q₈×C₁₇	—	2	1	no	—
791	Q₈×C₁₇	—	2	1	no	—
792	Q₈×C₁₇	—	8	1	no	—
793	D₄×C₁₇	—	2	1	no	—
794	D₄×C₁₇	—	2	1	no	—
795	D₄×C₁₇	—	2	1	no	—
796	D₄×C₁₇	—	2	1	no	—
797	D₄×C₁₇	—	2	1	no	—
798	D₄×C₁₇	—	2	1	no	—
799	D₄×C₁₇	—	2	1	no	—
800	D₄×C₁₇	—	2	1	no	—
801	D₄×C₁₇	—	4	2	no	—
802	D₄×C₁₇	—	4	2	no	—
803	D₄×C₁₇	—	8	1	no	—
804	D₄×C₁₇	—	8	1	no	—
805	D₄×C₁₇	—	8	1	no	—
806	D₄×C₁₇	—	8	1	no	—
807	D₄×C₁₇	—	8	1	no	—
808	C₂×C₄×C₁₇	—	2	1	no	—
809	C₂×C₄×C₁₇	—	2	1	no	—
810	C₂×C₄×C₁₇	—	2	1	no	—
811	C₂×C₄×C₁₇	—	2	1	no	—
812	C₂×C₄×C₁₇	—	2	1	no	—
813	C₂×C₄×C₁₇	—	2	1	no	—
814	C₂×C₄×C₁₇	—	4	2	no	—
815	C₂×C₄×C₁₇	—	8	1	no	—
816	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
822	C₂²⋊D₁₇	—	4	1	no	—
823	C₂²⋊D₁₇	—	4	1	no	—
824	C₂²⋊D₁₇	—	4	2	no	—
825	C₂²⋊D₁₇	—	4	2	no	—
826	C₂²⋊D₁₇	—	4	2	no	—
827	C₂²⋊D₁₇	—	4	2	no	—
828	C₂²⋊D₁₇	—	4	2	no	—
829	C₂²⋊D₁₇	—	4	2	no	—
830	C₂²⋊D₁₇	—	4	2	no	—
831	C₂²⋊D₁₇	—	4	2	no	—
832	C₂²⋊D₁₇	—	4	2	no	—
833	C₂²⋊D₁₇	—	8	1	no	—
834	C₂²⋊D₁₇	—	8	1	no	—
835	C₂²⋊D₁₇	—	8	1	no	—
836	C₂²⋊D₁₇	—	8	1	no	—
837	C₂²⋊D₁₇	—	8	1	no	—
838	C₂²⋊D₁₇	—	8	1	no	—
839	C₂²⋊D₁₇	—	8	1	no	—
840	C₂²⋊D₁₇	—	8	1	no	—
841	C₂×Dic₁₇	—	2	1	no	—
842	C₂×Dic₁₇	—	2	1	no	—
843	C₂×Dic₁₇	—	2	1	no	—
844	C₂×Dic₁₇	—	2	1	no	—
845	C₂×Dic₁₇	—	2	1	no	—
846	C₂×Dic₁₇	—	4	1	no	—
847	C₂×Dic₁₇	—	8	1	no	—
848	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
852	D₆₈	—	2	4	no	—
853	D₆₈	—	2	2	no	—
854	D₆₈	—	2	2	no	—
855	D₆₈	—	2	2	no	—
856	D₆₈	—	2	2	no	—
857	D₆₈	—	2	1	no	—
858	D₆₈	—	2	1	no	—
859	D₆₈	—	2	1	no	—
860	D₆₈	—	2	1	no	—
861	D₆₈	—	4	1	no	—
862	D₆₈	—	4	2	no	—
863	D₆₈	—	4	2	no	—
864	D₆₈	—	4	2	no	—
865	D₆₈	—	8	1	no	—
866	D₆₈	—	8	1	no	—
867	D₆₈	H(5,𝔽₂)	1	2	yes	—
868	D₆₈	H(5,𝔽₂)	1	2	yes	—
869	C₄×D₁₇	—	2	1	no	—
870	C₄×D₁₇	—	2	1	no	—
871	C₄×D₁₇	—	2	1	no	—
872	C₄×D₁₇	—	2	1	no	—
873	C₄×D₁₇	—	2	1	no	—
874	C₄×D₁₇	—	2	1	no	—
875	C₄×D₁₇	—	2	1	no	—
876	C₄×D₁₇	—	2	1	no	—
877	C₄×D₁₇	—	4	1	no	—
878	C₄×D₁₇	—	4	1	no	—
879	C₄×D₁₇	—	4	2	no	—
880	C₄×D₁₇	—	4	2	no	—
881	C₄×D₁₇	—	4	2	no	—
882	C₄×D₁₇	—	8	1	no	—
883	C₄×D₁₇	—	8	1	no	—
884	C₄×D₁₇	—	8	1	no	—
885	C₄×D₁₇	—	8	1	no	—
886	C₄×D₁₇	—	8	1	no	—
887	C₄×D₁₇	—	8	1	no	—
888	C₄×D₁₇	—	8	1	no	—
889	C₄×D₁₇	—	8	1	no	—
890	C₄×D₁₇	—	8	1	no	—
891	C₄×D₁₇	—	8	1	no	—
892	Dic₃₄	—	2	1	no	—
893	Dic₃₄	—	2	1	no	—
894	Dic₃₄	—	4	1	no	—
895	Dic₃₄	—	8	1	no	—
896	Dic₃₄	—	8	1	no	—
897	C₈×C₁₇	—	2	1	no	—
898	C₈×C₁₇	—	2	1	no	—
899	C₈×C₁₇	—	2	1	no	—
900	C₈×C₁₇	—	2	1	no	—
901	#3622	—	2	1	no	—
902	#3622	—	2	1	no	—
903	#3622	—	2	1	no	—
904	#3622	—	2	1	no	—
905	#3536	—	17	1	no	—
906	#3484	—	17	1	no	—
907	#3314	—	17	1	no	—
908	#3314	—	17	1	no	—
909	#3306	—	17	1	no	—
910	#3306	—	17	1	no	—
911	#3295	—	17	1	no	—
912	#3295	—	17	1	no	—
913	#3294	—	17	1	no	—
914	#3294	—	17	1	no	—
915	#3282	—	17	1	no	—
916	#3282	—	17	1	no	—
917	#3280	—	17	1	no	—
918	#3280	—	17	1	no	—
919	#3265	—	17	1	no	—
920	#3265	—	17	1	no	—
921	#3264	—	17	1	no	—
922	#3264	—	17	1	no	—
923	#3224	—	17	1	no	—
924	#3224	D₁₇	1	1	yes	characteristic, complemented
925	#3198	—	17	1	no	—
926	#3198	—	17	1	no	—
927	#3190	—	17	1	no	—
928	#3188	—	17	1	no	—
929	#3118	—	17	1	no	—
930	#3118	—	17	1	no	—
931	#3012	—	17	1	no	—
932	#3012	—	17	1	no	—
933	C₂×#450	—	17	1	no	—
934	C₂×#447	—	17	1	no	—
935	#2977	—	17	1	no	—
936	C₂²×C₁₇	—	2	1	no	—
937	C₂²×C₁₇	—	2	1	no	—
938	C₂²×C₁₇	—	2	1	no	—
939	C₂²×C₁₇	—	4	1	no	—
940	C₂²×C₁₇	—	4	1	no	—
941	C₂²×C₁₇	—	4	1	no	—
942	C₂²×C₁₇	—	4	1	no	—
943	C₂²×C₁₇	—	4	1	no	—
944	C₂²×C₁₇	—	4	1	no	—
945	C₂²×C₁₇	—	4	1	no	—
946	C₂²×C₁₇	—	4	1	no	—
947	C₂²×C₁₇	—	4	1	no	—
948	C₂²×C₁₇	—	4	1	no	—
949	C₂²×C₁₇	—	4	1	no	—
950	C₂²×C₁₇	—	4	1	no	—
951	C₂²×C₁₇	—	8	4	no	—
952	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
953	C₂×D₁₇	—	2	1	no	—
954	C₂×D₁₇	—	2	1	no	—
955	C₂×D₁₇	—	2	1	no	—
956	C₂×D₁₇	—	2	1	no	—
957	C₂×D₁₇	—	2	1	no	—
958	C₂×D₁₇	—	2	1	no	—
959	C₂×D₁₇	—	2	2	no	—
960	C₂×D₁₇	—	2	2	no	—
961	C₂×D₁₇	—	2	1	no	—
962	C₂×D₁₇	—	2	1	no	—
963	C₂×D₁₇	—	2	1	no	—
964	C₂×D₁₇	—	2	1	no	—
965	C₂×D₁₇	—	4	4	no	—
966	C₂×D₁₇	—	4	1	no	—
967	C₂×D₁₇	—	4	1	no	—
968	C₂×D₁₇	—	4	1	no	—
969	C₂×D₁₇	—	4	1	no	—
970	C₂×D₁₇	—	4	1	no	—
971	C₂×D₁₇	—	4	1	no	—
972	C₂×D₁₇	—	4	1	no	—
973	C₂×D₁₇	—	8	4	no	—
974	C₂×D₁₇	—	8	4	no	—
975	C₂×D₁₇	—	8	4	no	—
976	C₂×D₁₇	—	8	4	no	—
977	C₂×D₁₇	—	8	4	no	—
978	C₂×D₁₇	—	16	2	no	—
979	C₂×D₁₇	—	16	2	no	—
980	C₂×D₁₇	—	16	2	no	—
981	C₂×D₁₇	#576	1	2	yes	—
982	C₂×D₁₇	#577	1	2	yes	—
983	C₄×C₁₇	—	2	1	no	—
984	C₄×C₁₇	—	2	1	no	—
985	C₄×C₁₇	—	2	1	no	—
986	C₄×C₁₇	—	2	1	no	—
987	C₄×C₁₇	—	2	1	no	—
988	C₄×C₁₇	—	4	1	no	—
989	C₄×C₁₇	—	4	1	no	—
990	C₄×C₁₇	—	4	1	no	—
991	C₄×C₁₇	—	4	1	no	—
992	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
993	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
994	Dic₁₇	—	2	1	no	—
995	Dic₁₇	—	2	1	no	—
996	Dic₁₇	—	2	1	no	—
997	Dic₁₇	—	2	1	no	—
998	Dic₁₇	—	4	1	no	—
999	Dic₁₇	—	4	1	no	—
1000	Dic₁₇	—	4	1	no	—
1001	Dic₁₇	—	4	1	no	—
1002	Dic₁₇	—	4	1	no	—
1003	C₂×H(5,𝔽₂)	—	17	1	no	—
1004	C₂³×D₄	—	17	1	no	—
1005	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1006	C₂×AGL(1,ℤ/8)	—	17	1	no	—
1007	C₂×#135	—	17	1	no	—
1008	C₂×#135	—	17	1	no	—
1009	C₂²×SD₁₆	—	17	1	no	—
1010	C₂²×SD₁₆	—	17	1	no	—
1011	C₂²×D₈	—	17	1	no	—
1012	C₂²×D₈	—	17	1	no	—
1013	#562	—	34	1	no	—
1014	#562	—	34	1	no	—
1015	#554	—	17	1	no	—
1016	#554	—	17	1	no	—
1017	#548	—	17	1	no	—
1018	#548	—	17	1	no	—
1019	#547	—	17	1	no	—
1020	#547	—	17	1	no	—
1021	#546	—	17	1	no	—
1022	#546	—	17	1	no	—
1023	#546	—	17	1	no	—
1024	#546	—	17	1	no	—
1025	#546	—	17	1	no	—
1026	#546	—	17	1	no	—
1027	#546	—	34	1	no	—
1028	#546	—	34	1	no	—
1029	#546	—	34	1	no	—
1030	#546	—	34	1	no	—
1031	D₄²	—	17	1	no	—
1032	D₄²	—	17	1	no	—
1033	D₄²	—	17	1	no	—
1034	D₄²	—	17	1	no	—
1035	D₄²	—	34	1	no	—
1036	D₄²	—	34	1	no	—
1037	#543	—	34	1	no	—
1038	#542	—	17	1	no	—
1039	#542	C₂×D₁₇	1	1	yes	characteristic, complemented
1040	#539	—	34	1	no	—
1041	#538	—	34	1	no	—
1042	#537	—	17	1	no	—
1043	#537	—	17	1	no	—
1044	#537	—	34	1	no	—
1045	#535	—	17	1	no	—
1046	#535	C₂×D₁₇	1	1	yes	characteristic, complemented
1047	#534	—	34	1	no	—
1048	#534	—	34	1	no	—
1049	#525	—	17	1	no	—
1050	#525	—	17	1	no	—
1051	C₂×C₂²⋊Q₈	—	17	1	no	—
1052	C₂×#121	—	17	1	no	—
1053	C₂×#120	—	34	1	no	—
1054	C₂×#120	—	34	1	no	—
1055	#518	—	17	1	no	—
1056	#496	—	17	1	no	—
1057	#496	C₂×D₁₇	1	1	yes	characteristic, complemented
1058	#495	—	17	1	no	—
1059	#495	C₂×D₁₇	1	1	yes	characteristic, complemented
1060	#489	—	17	1	no	—
1061	#489	C₂×D₁₇	1	1	yes	characteristic, complemented
1062	#486	—	17	1	no	—
1063	#486	C₂×D₁₇	1	1	yes	characteristic, complemented
1064	#485	—	17	1	no	—
1065	#485	—	17	1	no	—
1066	#484	—	17	1	no	—
1067	#483	—	17	1	no	—
1068	#482	—	17	1	no	—
1069	#482	—	17	1	no	—
1070	#481	—	17	1	no	—
1071	#481	—	17	1	no	—
1072	#481	—	17	1	no	—
1073	#480	—	17	1	no	—
1074	#480	—	17	1	no	—
1075	#480	—	17	1	no	—
1076	#476	—	17	1	no	—
1077	#476	—	17	1	no	—
1078	#474	—	17	1	no	—
1079	#474	—	17	1	no	—
1080	#469	—	17	1	no	—
1081	#469	—	17	1	no	—
1082	#468	—	17	1	no	—
1083	#468	—	17	1	no	—
1084	#467	—	17	1	no	—
1085	#467	—	17	1	no	—
1086	#466	—	17	1	no	—
1087	#466	—	17	1	no	—
1088	#466	—	17	1	no	—
1089	#466	—	17	1	no	—
1090	#465	—	17	1	no	—
1091	#465	—	17	1	no	—
1092	#465	—	17	1	no	—
1093	#465	—	17	1	no	—
1094	#465	—	17	1	no	—
1095	#465	—	17	1	no	—
1096	#464	—	17	1	no	—
1097	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1098	#463	—	17	1	no	—
1099	#463	—	17	1	no	—
1100	#463	—	17	1	no	—
1101	#463	—	17	1	no	—
1102	#463	—	17	1	no	—
1103	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1104	#460	—	17	1	no	—
1105	#460	C₂×D₁₇	1	1	yes	characteristic, complemented
1106	#459	—	17	1	no	—
1107	#459	C₂×D₁₇	1	1	yes	characteristic, complemented
1108	#452	—	17	1	no	—
1109	#452	—	17	1	no	—
1110	#452	—	17	1	no	—
1111	#452	C₂×D₁₇	1	1	yes	characteristic, complemented
1112	#451	—	17	1	no	—
1113	#450	—	17	1	no	—
1114	#450	—	17	1	no	—
1115	#450	—	17	1	no	—
1116	#450	—	17	1	no	—
1117	#450	—	17	1	no	—
1118	#450	—	17	1	no	—
1119	#450	—	17	1	no	—
1120	#450	—	17	1	no	—
1121	#450	—	17	1	no	—
1122	#450	—	17	1	no	—
1123	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1124	#449	—	17	1	no	—
1125	#449	—	17	1	no	—
1126	#449	—	17	1	no	—
1127	#449	—	17	1	no	—
1128	#449	—	17	1	no	—
1129	#449	—	17	1	no	—
1130	#449	—	17	1	no	—
1131	#449	C₂×D₁₇	1	1	yes	characteristic, complemented
1132	#448	—	17	1	no	—
1133	#447	—	17	1	no	—
1134	#447	—	17	1	no	—
1135	#447	—	17	1	no	—
1136	#447	—	17	1	no	—
1137	#447	—	17	1	no	—
1138	#447	—	17	1	no	—
1139	#447	—	17	1	no	—
1140	#447	—	17	1	no	—
1141	#447	—	17	1	no	—
1142	#447	—	17	1	no	—
1143	#447	C₂×D₁₇	1	1	yes	characteristic, complemented
1144	#442	—	17	1	no	—
1145	#442	—	17	1	no	—
1146	#440	—	17	1	no	—
1147	#440	—	17	1	no	—
1148	C₄×SD₁₆	—	17	1	no	—
1149	C₄×SD₁₆	—	17	1	no	—
1150	C₄×D₈	—	17	1	no	—
1151	C₄×D₈	—	17	1	no	—
1152	#435	—	17	1	no	—
1153	#435	—	17	1	no	—
1154	#435	—	17	1	no	—
1155	#435	—	17	1	no	—
1156	C₈×D₄	—	17	1	no	—
1157	C₈×D₄	—	17	1	no	—
1158	C₈×D₄	—	17	1	no	—
1159	C₈×D₄	—	17	1	no	—
1160	#433	—	17	1	no	—
1161	#433	C₂×D₁₇	1	1	yes	characteristic, complemented
1162	#417	—	17	1	no	—
1163	#417	—	17	1	no	—
1164	C₂×#102	—	17	1	no	—
1165	C₂×#102	—	17	1	no	—
1166	C₂×#102	—	17	1	no	—
1167	C₂×#102	—	17	1	no	—
1168	C₂×#102	—	17	1	no	—
1169	C₂×#102	—	17	1	no	—
1170	#408	—	17	1	no	—
1171	#408	—	17	1	no	—
1172	C₂×C₂²⋊C₈	—	17	1	no	—
1173	C₂×C₂²⋊C₈	—	17	1	no	—
1174	C₂×C₁₇	—	4	1	no	—
1175	C₂×C₁₇	—	8	1	no	—
1176	C₂×C₁₇	—	8	1	no	—
1177	C₂×C₁₇	—	8	1	no	—
1178	C₂×C₁₇	—	8	1	no	—
1179	C₂×C₁₇	#3484	1	1	yes	characteristic
1180	C₂×C₁₇	C₂×#576	1	1	yes	characteristic
1181	C₂×C₁₇	C₂×#577	1	1	yes	characteristic
1182	D₁₇	—	2	2	no	—
1183	D₁₇	—	2	2	no	—
1184	D₁₇	—	4	1	no	—
1185	D₁₇	—	4	1	no	—
1186	D₁₇	—	4	2	no	—
1187	D₁₇	—	4	2	no	—
1188	D₁₇	—	8	1	no	—
1189	C₂⁵	—	34	1	no	—
1190	H(5,𝔽₂)	—	68	2	no	—
1191	H(5,𝔽₂)	—	68	2	no	—
1192	C₂×#41	—	17	1	no	—
1193	C₂×#41	—	17	1	no	—
1194	C₂×#41	—	17	1	no	—
1195	C₂×#41	—	17	1	no	—
1196	C₂×#41	—	17	1	no	—
1197	C₂×#41	—	34	1	no	—
1198	C₂×#41	—	34	1	no	—
1199	C₂×#41	—	34	1	no	—
1200	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1201	C₂²×Q₈	—	17	1	no	—
1202	C₂²×D₄	—	17	1	no	—
1203	C₂²×D₄	—	17	1	no	—
1204	C₂²×D₄	—	17	1	no	—
1205	C₂²×D₄	—	17	1	no	—
1206	C₂²×D₄	—	17	1	no	—
1207	C₂²×D₄	—	17	1	no	—
1208	C₂²×D₄	—	17	1	no	—
1209	C₂²×D₄	—	17	1	no	—
1210	C₂²×D₄	—	34	1	no	—
1211	C₂²×D₄	—	34	1	no	—
1212	C₂²×D₄	—	34	1	no	—
1213	C₂²×D₄	—	34	1	no	—
1214	C₂²×D₄	—	34	1	no	—
1215	C₂²×D₄	—	34	1	no	—
1216	C₂²×D₄	—	34	1	no	—
1217	C₂²×D₄	—	34	1	no	—
1218	C₂²×D₄	—	34	1	no	—
1219	C₂²×D₄	—	34	1	no	—
1220	C₂²×D₄	—	34	1	no	—
1221	C₂²×D₄	—	68	2	no	—
1222	C₂²×D₄	—	68	2	no	—
1223	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1224	C₂³×C₄	—	17	1	no	—
1225	AGL(1,ℤ/8)	—	68	2	no	—
1226	AGL(1,ℤ/8)	—	68	2	no	—
1227	#135	—	68	2	no	—
1228	#135	—	68	2	no	—
1229	C₂×Q₁₆	—	17	1	no	—
1230	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1231	C₂×SD₁₆	—	17	1	no	—
1232	C₂×SD₁₆	—	17	1	no	—
1233	C₂×SD₁₆	—	17	1	no	—
1234	C₂×SD₁₆	—	17	1	no	—
1235	C₂×SD₁₆	—	17	1	no	—
1236	C₂×SD₁₆	—	17	1	no	—
1237	C₂×SD₁₆	—	17	1	no	—
1238	C₂×SD₁₆	—	17	1	no	—
1239	C₂×SD₁₆	—	68	2	no	—
1240	C₂×SD₁₆	—	68	2	no	—
1241	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1242	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1243	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1244	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1245	C₂×D₈	—	17	1	no	—
1246	C₂×D₈	—	17	1	no	—
1247	C₂×D₈	—	17	1	no	—
1248	C₂×D₈	—	17	1	no	—
1249	C₂×D₈	—	17	1	no	—
1250	C₂×D₈	—	17	1	no	—
1251	C₂×D₈	—	17	1	no	—
1252	C₂×D₈	—	68	2	no	—
1253	C₂×D₈	—	68	2	no	—
1254	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1255	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1256	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1257	C₂×M₁₆	—	17	1	no	—
1258	C₂×M₁₆	—	17	1	no	—
1259	C₂²×C₈	—	17	1	no	—
1260	C₂²×C₈	—	17	1	no	—
1261	C₂²×C₈	—	17	1	no	—
1262	C₂²×C₈	—	17	1	no	—
1263	C₂²×C₈	—	17	1	no	—
1264	C₂²×C₈	—	17	1	no	—
1265	C₄⋊Q₈	—	17	1	no	—
1266	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1267	#127	—	34	1	no	—
1268	#127	C₂²×D₁₇	1	1	yes	characteristic
1269	#127	C₂²×D₁₇	1	1	yes	characteristic
1270	#126	—	2	1	no	—
1271	#126	—	34	1	no	—
1272	#125	—	34	1	no	—
1273	#125	—	34	1	no	—
1274	#124	—	2	1	no	—
1275	#124	—	17	1	no	—
1276	#124	—	34	1	no	—
1277	#124	—	34	1	no	—
1278	#124	—	34	1	no	—
1279	#124	—	34	1	no	—
1280	#124	C₂²×D₁₇	1	1	yes	characteristic
1281	#124	C₂²×D₁₇	1	1	yes	characteristic
1282	#124	C₂²×D₁₇	1	1	yes	characteristic, complemented
1283	#123	—	2	1	no	—
1284	#123	—	17	1	no	—
1285	#123	—	17	1	no	—
1286	#123	—	34	1	no	—
1287	#123	—	34	1	no	—
1288	#123	—	34	1	no	—
1289	#123	—	34	1	no	—
1290	#123	—	34	1	no	—
1291	#123	—	34	1	no	—
1292	#123	—	34	1	no	—
1293	#123	—	34	1	no	—
1294	#123	—	34	1	no	—
1295	#123	—	34	1	no	—
1296	#123	—	34	1	no	—
1297	#123	—	34	1	no	—
1298	C₂²⋊Q₈	—	2	1	no	—
1299	C₂²⋊Q₈	—	17	1	no	—
1300	C₂²⋊Q₈	—	17	1	no	—
1301	C₂²⋊Q₈	—	17	1	no	—
1302	C₂²⋊Q₈	—	17	1	no	—
1303	C₂²⋊Q₈	—	17	1	no	—
1304	C₂²⋊Q₈	—	17	1	no	—
1305	C₂²⋊Q₈	—	17	1	no	—
1306	C₂²⋊Q₈	—	17	1	no	—
1307	C₂²⋊Q₈	—	17	1	no	—
1308	C₂²⋊Q₈	—	34	1	no	—
1309	C₂²⋊Q₈	—	34	1	no	—
1310	C₂²⋊Q₈	—	34	1	no	—
1311	C₂²⋊Q₈	—	34	1	no	—
1312	C₂²⋊Q₈	—	34	1	no	—
1313	C₂²⋊Q₈	—	34	1	no	—
1314	C₂²⋊Q₈	—	34	1	no	—
1315	C₂²⋊Q₈	—	34	1	no	—
1316	C₂²⋊Q₈	—	34	1	no	—
1317	C₂²⋊Q₈	—	34	1	no	—
1318	C₂²⋊Q₈	—	34	1	no	—
1319	C₂²⋊Q₈	—	34	1	no	—
1320	C₂²⋊Q₈	—	34	1	no	—
1321	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1322	#121	—	2	1	no	—
1323	#121	—	2	1	no	—
1324	#121	—	17	1	no	—
1325	#121	—	17	1	no	—
1326	#121	—	17	1	no	—
1327	#121	—	17	1	no	—
1328	#121	—	17	1	no	—
1329	#121	—	17	1	no	—
1330	#121	—	17	1	no	—
1331	#121	—	17	1	no	—
1332	#121	—	17	1	no	—
1333	#121	—	17	1	no	—
1334	#121	—	17	1	no	—
1335	#121	—	17	1	no	—
1336	#121	—	17	1	no	—
1337	#121	—	34	1	no	—
1338	#121	—	34	1	no	—
1339	#121	—	34	1	no	—
1340	#121	—	34	1	no	—
1341	#121	—	34	1	no	—
1342	#121	—	34	1	no	—
1343	#121	—	34	1	no	—
1344	#121	—	34	1	no	—
1345	#121	—	34	1	no	—
1346	#121	—	34	1	no	—
1347	#121	—	34	1	no	—
1348	#121	—	34	1	no	—
1349	#121	—	34	1	no	—
1350	#121	—	34	1	no	—
1351	#121	—	34	1	no	—
1352	#121	—	34	1	no	—
1353	#121	—	34	1	no	—
1354	#121	—	34	1	no	—
1355	#121	—	34	1	no	—
1356	#121	—	34	1	no	—
1357	#121	C₂²×D₁₇	1	1	yes	characteristic
1358	#120	—	2	1	no	—
1359	#120	—	2	1	no	—
1360	#120	—	17	1	no	—
1361	#120	—	17	1	no	—
1362	#120	—	34	1	no	—
1363	#120	—	34	1	no	—
1364	#120	—	34	1	no	—
1365	#120	—	34	1	no	—
1366	#120	—	34	1	no	—
1367	#120	—	34	1	no	—
1368	#120	—	34	1	no	—
1369	#120	—	34	1	no	—
1370	#120	—	34	1	no	—
1371	#120	—	34	1	no	—
1372	#120	—	34	1	no	—
1373	#120	—	34	1	no	—
1374	#120	—	34	1	no	—
1375	#120	—	34	1	no	—
1376	#120	—	34	1	no	—
1377	#120	—	34	1	no	—
1378	#120	—	34	1	no	—
1379	C₄×Q₈	—	17	1	no	—
1380	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1381	C₄×D₄	—	17	1	no	—
1382	C₄×D₄	—	17	1	no	—
1383	C₄×D₄	—	17	1	no	—
1384	C₄×D₄	—	17	1	no	—
1385	C₄×D₄	—	17	1	no	—
1386	C₄×D₄	—	17	1	no	—
1387	C₄×D₄	—	17	1	no	—
1388	C₄×D₄	—	17	1	no	—
1389	C₄×D₄	—	17	1	no	—
1390	C₄×D₄	—	34	1	no	—
1391	C₄×D₄	—	34	1	no	—
1392	C₄×D₄	—	34	1	no	—
1393	C₄×D₄	—	34	1	no	—
1394	C₄×D₄	—	34	1	no	—
1395	C₄×D₄	—	34	1	no	—
1396	C₄×D₄	—	34	1	no	—
1397	C₄×D₄	—	34	1	no	—
1398	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1399	#117	—	17	1	no	—
1400	#117	C₂²×D₁₇	1	1	yes	characteristic
1401	C₂×C₄⋊C₄	—	17	1	no	—
1402	C₂×C₄⋊C₄	—	17	1	no	—
1403	C₂×C₄⋊C₄	—	17	1	no	—
1404	C₂×C₄⋊C₄	—	17	1	no	—
1405	C₂×C₄⋊C₄	—	34	1	no	—
1406	C₂×C₂²⋊C₄	—	34	1	no	—
1407	C₂×C₂²⋊C₄	—	34	1	no	—
1408	C₂×C₂²⋊C₄	—	34	1	no	—
1409	C₂×C₂²⋊C₄	—	34	1	no	—
1410	C₂×C₂²⋊C₄	—	34	1	no	—
1411	C₂×C₂²⋊C₄	—	34	1	no	—
1412	C₂×C₂²⋊C₄	—	34	1	no	—
1413	C₂×C₂²⋊C₄	—	34	1	no	—
1414	C₂×C₂²⋊C₄	—	34	1	no	—
1415	C₂×C₂²⋊C₄	—	34	1	no	—
1416	#107	—	17	1	no	—
1417	#107	—	17	1	no	—
1418	#107	—	17	1	no	—
1419	#107	—	17	1	no	—
1420	#106	—	17	1	no	—
1421	#106	—	17	1	no	—
1422	#106	—	17	1	no	—
1423	#106	—	17	1	no	—
1424	C₄⋊C₈	—	17	1	no	—
1425	C₄⋊C₈	—	17	1	no	—
1426	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1427	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1428	#103	—	17	1	no	—
1429	#103	—	17	1	no	—
1430	#103	—	17	1	no	—
1431	#103	—	17	1	no	—
1432	#103	—	17	1	no	—
1433	#103	—	17	1	no	—
1434	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1435	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1436	#102	—	17	1	no	—
1437	#102	—	17	1	no	—
1438	#102	—	17	1	no	—
1439	#102	—	17	1	no	—
1440	#102	—	17	1	no	—
1441	#102	—	17	1	no	—
1442	#102	—	17	1	no	—
1443	#102	—	17	1	no	—
1444	#102	—	17	1	no	—
1445	#102	—	17	1	no	—
1446	#102	—	17	1	no	—
1447	#102	—	17	1	no	—
1448	#102	—	17	1	no	—
1449	#102	—	17	1	no	—
1450	#102	—	17	1	no	—
1451	#102	—	17	1	no	—
1452	#102	—	17	1	no	—
1453	#102	—	17	1	no	—
1454	#102	C₂²×D₁₇	1	1	yes	characteristic
1455	#102	C₂²×D₁₇	1	1	yes	characteristic
1456	#102	C₂²×D₁₇	1	1	yes	characteristic
1457	#102	C₂²×D₁₇	1	1	yes	characteristic
1458	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1459	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1460	C₂²⋊C₈	—	17	1	no	—
1461	C₂²⋊C₈	—	17	1	no	—
1462	C₂²⋊C₈	—	17	1	no	—
1463	C₂²⋊C₈	—	17	1	no	—
1464	C₂²⋊C₈	—	17	1	no	—
1465	C₂²⋊C₈	—	17	1	no	—
1466	C₂²⋊C₈	—	17	1	no	—
1467	C₂²⋊C₈	—	17	1	no	—
1468	C₂²⋊C₈	—	17	1	no	—
1469	C₂²⋊C₈	—	17	1	no	—
1470	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1471	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1472	#97	—	17	1	no	—
1473	#97	C₂²×D₁₇	1	1	yes	characteristic, complemented
1474	C₄×C₈	—	17	1	no	—
1475	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1476	C₁₇	#61629	1	1	yes	characteristic, complemented, Sylow
1477	C₂⁴	—	2	1	no	—
1478	C₂⁴	—	17	1	no	—
1479	C₂⁴	—	34	1	no	—
1480	C₂⁴	—	34	1	no	—
1481	C₂⁴	—	34	1	no	—
1482	C₂⁴	—	34	1	no	—
1483	C₂⁴	—	34	1	no	—
1484	C₂⁴	—	34	1	no	—
1485	C₂⁴	—	34	1	no	—
1486	C₂⁴	—	34	1	no	—
1487	C₂⁴	—	68	4	no	—
1488	C₂⁴	—	136	2	no	—
1489	C₂⁴	—	136	2	no	—
1490	#41	—	4	1	no	—
1491	#41	—	4	1	no	—
1492	#41	—	34	2	no	—
1493	#41	—	34	2	no	—
1494	#41	—	68	1	no	—
1495	#41	—	68	1	no	—
1496	#41	—	68	4	no	—
1497	#41	—	68	1	no	—
1498	#41	—	68	1	no	—
1499	#41	—	68	1	no	—
1500	#41	—	68	1	no	—
1501	#41	—	68	1	no	—
1502	#41	—	68	1	no	—
1503	#41	—	136	2	no	—
1504	#41	—	136	2	no	—
1505	C₂×Q₈	—	2	1	no	—
1506	C₂×Q₈	—	17	1	no	—
1507	C₂×Q₈	—	17	1	no	—
1508	C₂×Q₈	—	34	1	no	—
1509	C₂×Q₈	—	34	1	no	—
1510	C₂×Q₈	—	68	1	no	—
1511	C₂×Q₈	—	68	1	no	—
1512	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1513	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	4	1	no	—
1522	C₂×D₄	—	4	1	no	—
1523	C₂×D₄	—	17	1	no	—
1524	C₂×D₄	—	17	1	no	—
1525	C₂×D₄	—	17	1	no	—
1526	C₂×D₄	—	17	1	no	—
1527	C₂×D₄	—	17	1	no	—
1528	C₂×D₄	—	17	1	no	—
1529	C₂×D₄	—	17	1	no	—
1530	C₂×D₄	—	17	1	no	—
1531	C₂×D₄	—	17	1	no	—
1532	C₂×D₄	—	17	1	no	—
1533	C₂×D₄	—	34	2	no	—
1534	C₂×D₄	—	34	2	no	—
1535	C₂×D₄	—	34	1	no	—
1536	C₂×D₄	—	34	1	no	—
1537	C₂×D₄	—	34	1	no	—
1538	C₂×D₄	—	34	1	no	—
1539	C₂×D₄	—	34	1	no	—
1540	C₂×D₄	—	34	1	no	—
1541	C₂×D₄	—	34	1	no	—
1542	C₂×D₄	—	34	1	no	—
1543	C₂×D₄	—	34	1	no	—
1544	C₂×D₄	—	34	1	no	—
1545	C₂×D₄	—	34	1	no	—
1546	C₂×D₄	—	34	1	no	—
1547	C₂×D₄	—	34	2	no	—
1548	C₂×D₄	—	34	2	no	—
1549	C₂×D₄	—	34	2	no	—
1550	C₂×D₄	—	34	2	no	—
1551	C₂×D₄	—	34	2	no	—
1552	C₂×D₄	—	34	2	no	—
1553	C₂×D₄	—	34	1	no	—
1554	C₂×D₄	—	34	1	no	—
1555	C₂×D₄	—	34	1	no	—
1556	C₂×D₄	—	34	1	no	—
1557	C₂×D₄	—	34	1	no	—
1558	C₂×D₄	—	34	1	no	—
1559	C₂×D₄	—	34	1	no	—
1560	C₂×D₄	—	34	1	no	—
1561	C₂×D₄	—	34	1	no	—
1562	C₂×D₄	—	34	1	no	—
1563	C₂×D₄	—	34	1	no	—
1564	C₂×D₄	—	68	4	no	—
1565	C₂×D₄	—	68	1	no	—
1566	C₂×D₄	—	68	1	no	—
1567	C₂×D₄	—	68	1	no	—
1568	C₂×D₄	—	68	1	no	—
1569	C₂×D₄	—	68	1	no	—
1570	C₂×D₄	—	68	1	no	—
1571	C₂×D₄	—	68	1	no	—
1572	C₂×D₄	—	68	1	no	—
1573	C₂×D₄	—	68	4	no	—
1574	C₂×D₄	—	68	4	no	—
1575	C₂×D₄	—	68	4	no	—
1576	C₂×D₄	—	68	4	no	—
1577	C₂×D₄	—	68	4	no	—
1578	C₂×D₄	—	136	2	no	—
1579	C₂×D₄	—	136	2	no	—
1580	C₂×D₄	—	136	2	no	—
1581	C₂×D₄	—	136	2	no	—
1582	C₂×D₄	—	136	2	no	—
1583	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1584	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1585	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1586	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	17	1	no	—
1590	C₂²×C₄	—	17	1	no	—
1591	C₂²×C₄	—	17	1	no	—
1592	C₂²×C₄	—	17	1	no	—
1593	C₂²×C₄	—	17	1	no	—
1594	C₂²×C₄	—	17	1	no	—
1595	C₂²×C₄	—	17	1	no	—
1596	C₂²×C₄	—	34	1	no	—
1597	C₂²×C₄	—	34	1	no	—
1598	C₂²×C₄	—	34	1	no	—
1599	C₂²×C₄	—	34	1	no	—
1600	C₂²×C₄	—	34	1	no	—
1601	C₂²×C₄	—	34	1	no	—
1602	C₂²×C₄	—	34	1	no	—
1603	C₂²×C₄	—	34	1	no	—
1604	C₂²×C₄	—	34	1	no	—
1605	C₂²×C₄	—	34	1	no	—
1606	C₂²×C₄	—	34	1	no	—
1607	C₂²×C₄	—	34	1	no	—
1608	C₂²×C₄	—	34	1	no	—
1609	C₂²×C₄	—	34	1	no	—
1610	C₂²×C₄	—	68	1	no	—
1611	C₂²×C₄	—	68	1	no	—
1612	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1613	Q₁₆	—	4	1	no	—
1614	Q₁₆	—	68	1	no	—
1615	SD₁₆	—	4	1	no	—
1616	SD₁₆	—	4	1	no	—
1617	SD₁₆	—	4	1	no	—
1618	SD₁₆	—	4	1	no	—
1619	SD₁₆	—	34	2	no	—
1620	SD₁₆	—	34	2	no	—
1621	SD₁₆	—	34	2	no	—
1622	SD₁₆	—	34	2	no	—
1623	SD₁₆	—	68	1	no	—
1624	SD₁₆	—	68	1	no	—
1625	SD₁₆	—	68	1	no	—
1626	SD₁₆	—	68	1	no	—
1627	D₈	—	4	1	no	—
1628	D₈	—	4	1	no	—
1629	D₈	—	4	1	no	—
1630	D₈	—	34	2	no	—
1631	D₈	—	34	2	no	—
1632	D₈	—	34	2	no	—
1633	D₈	—	34	2	no	—
1634	D₈	—	68	1	no	—
1635	D₈	—	68	1	no	—
1636	D₈	—	68	1	no	—
1637	M₁₆	—	68	1	no	—
1638	M₁₆	—	68	1	no	—
1639	C₂×C₈	—	17	1	no	—
1640	C₂×C₈	—	17	1	no	—
1641	C₂×C₈	—	17	1	no	—
1642	C₂×C₈	—	17	1	no	—
1643	C₂×C₈	—	68	1	no	—
1644	C₂×C₈	—	68	1	no	—
1645	C₂×C₈	—	68	1	no	—
1646	C₂×C₈	—	68	1	no	—
1647	C₂×C₈	—	68	1	no	—
1648	C₂×C₈	—	68	1	no	—
1649	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1650	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1651	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1652	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	—	2	1	no	—
1655	C₄⋊C₄	—	2	1	no	—
1656	C₄⋊C₄	—	17	1	no	—
1657	C₄⋊C₄	—	17	1	no	—
1658	C₄⋊C₄	—	17	1	no	—
1659	C₄⋊C₄	—	17	1	no	—
1660	C₄⋊C₄	—	17	1	no	—
1661	C₄⋊C₄	—	17	1	no	—
1662	C₄⋊C₄	—	17	1	no	—
1663	C₄⋊C₄	—	17	1	no	—
1664	C₄⋊C₄	—	34	1	no	—
1665	C₄⋊C₄	—	34	1	no	—
1666	C₄⋊C₄	—	34	1	no	—
1667	C₄⋊C₄	—	34	1	no	—
1668	C₄⋊C₄	—	34	1	no	—
1669	C₄⋊C₄	—	34	1	no	—
1670	C₄⋊C₄	—	34	1	no	—
1671	C₄⋊C₄	—	34	1	no	—
1672	C₄⋊C₄	—	34	1	no	—
1673	C₄⋊C₄	—	34	1	no	—
1674	C₄⋊C₄	—	34	1	no	—
1675	C₄⋊C₄	—	34	1	no	—
1676	C₄⋊C₄	—	34	1	no	—
1677	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1678	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1679	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1680	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	17	1	no	—
1691	C₂²⋊C₄	—	17	1	no	—
1692	C₂²⋊C₄	—	17	1	no	—
1693	C₂²⋊C₄	—	17	1	no	—
1694	C₂²⋊C₄	—	17	1	no	—
1695	C₂²⋊C₄	—	17	1	no	—
1696	C₂²⋊C₄	—	17	1	no	—
1697	C₂²⋊C₄	—	17	1	no	—
1698	C₂²⋊C₄	—	34	1	no	—
1699	C₂²⋊C₄	—	34	1	no	—
1700	C₂²⋊C₄	—	34	1	no	—
1701	C₂²⋊C₄	—	34	1	no	—
1702	C₂²⋊C₄	—	34	1	no	—
1703	C₂²⋊C₄	—	34	1	no	—
1704	C₂²⋊C₄	—	34	1	no	—
1705	C₂²⋊C₄	—	34	1	no	—
1706	C₂²⋊C₄	—	34	1	no	—
1707	C₂²⋊C₄	—	34	1	no	—
1708	C₂²⋊C₄	—	34	1	no	—
1709	C₂²⋊C₄	—	34	1	no	—
1710	C₂²⋊C₄	—	34	1	no	—
1711	C₂²⋊C₄	—	34	1	no	—
1712	C₂²⋊C₄	—	34	1	no	—
1713	C₂²⋊C₄	—	34	1	no	—
1714	C₂²⋊C₄	—	34	1	no	—
1715	C₂²⋊C₄	—	34	1	no	—
1716	C₂²⋊C₄	—	34	1	no	—
1717	C₂²⋊C₄	—	34	1	no	—
1718	C₂²⋊C₄	—	34	1	no	—
1719	C₂²⋊C₄	—	34	1	no	—
1720	C₂²⋊C₄	—	34	1	no	—
1721	C₂²⋊C₄	—	34	1	no	—
1722	C₂²⋊C₄	—	34	1	no	—
1723	C₂²⋊C₄	—	34	1	no	—
1724	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1725	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1726	C₄²	—	2	1	no	—
1727	C₄²	—	34	1	no	—
1728	C₄²	—	34	1	no	—
1729	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1730	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1731	C₂³	—	2	1	no	—
1732	C₂³	—	2	1	no	—
1733	C₂³	—	2	1	no	—
1734	C₂³	—	2	1	no	—
1735	C₂³	—	4	2	no	—
1736	C₂³	—	8	1	no	—
1737	C₂³	—	8	1	no	—
1738	C₂³	—	17	1	no	—
1739	C₂³	—	17	1	no	—
1740	C₂³	—	17	1	no	—
1741	C₂³	—	17	1	no	—
1742	C₂³	—	34	2	no	—
1743	C₂³	—	34	2	no	—
1744	C₂³	—	34	4	no	—
1745	C₂³	—	34	1	no	—
1746	C₂³	—	34	1	no	—
1747	C₂³	—	34	1	no	—
1748	C₂³	—	68	1	no	—
1749	C₂³	—	68	2	no	—
1750	C₂³	—	68	2	no	—
1751	C₂³	—	68	2	no	—
1752	C₂³	—	68	2	no	—
1753	C₂³	—	68	2	no	—
1754	C₂³	—	68	2	no	—
1755	C₂³	—	68	2	no	—
1756	C₂³	—	68	2	no	—
1757	C₂³	—	68	2	no	—
1758	C₂³	—	68	2	no	—
1759	C₂³	—	68	2	no	—
1760	C₂³	—	136	1	no	—
1761	C₂³	—	136	1	no	—
1762	C₂³	—	136	1	no	—
1763	C₂³	—	136	1	no	—
1764	C₂³	—	136	1	no	—
1765	C₂³	—	136	1	no	—
1766	C₂³	—	136	1	no	—
1767	C₂³	—	136	1	no	—
1768	C₂³	—	136	1	no	—
1769	C₂³	—	136	1	no	—
1770	C₂³	—	136	1	no	—
1771	C₂³	—	136	1	no	—
1772	C₂³	—	136	16	no	—
1773	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1774	Q₈	—	2	1	no	—
1775	Q₈	—	2	1	no	—
1776	Q₈	—	2	1	no	—
1777	Q₈	—	2	1	no	—
1778	Q₈	—	8	1	no	—
1779	Q₈	—	34	1	no	—
1780	Q₈	—	34	1	no	—
1781	Q₈	—	68	1	no	—
1782	Q₈	—	136	1	no	—
1783	Q₈	—	136	1	no	—
1784	D₄	—	2	1	no	—
1785	D₄	—	2	1	no	—
1786	D₄	—	2	1	no	—
1787	D₄	—	2	1	no	—
1788	D₄	—	2	1	no	—
1789	D₄	—	2	1	no	—
1790	D₄	—	2	1	no	—
1791	D₄	—	2	1	no	—
1792	D₄	—	4	2	no	—
1793	D₄	—	4	2	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	8	1	no	—
1799	D₄	—	17	2	no	—
1800	D₄	—	17	2	no	—
1801	D₄	—	34	2	no	—
1802	D₄	—	34	2	no	—
1803	D₄	—	34	2	no	—
1804	D₄	—	34	2	no	—
1805	D₄	—	34	4	no	—
1806	D₄	—	34	1	no	—
1807	D₄	—	34	1	no	—
1808	D₄	—	34	1	no	—
1809	D₄	—	34	1	no	—
1810	D₄	—	68	1	no	—
1811	D₄	—	68	2	no	—
1812	D₄	—	68	2	no	—
1813	D₄	—	68	2	no	—
1814	D₄	—	68	1	no	—
1815	D₄	—	68	1	no	—
1816	D₄	—	68	2	no	—
1817	D₄	—	68	2	no	—
1818	D₄	—	68	2	no	—
1819	D₄	—	68	2	no	—
1820	D₄	—	68	2	no	—
1821	D₄	—	68	2	no	—
1822	D₄	—	68	2	no	—
1823	D₄	—	68	2	no	—
1824	D₄	—	68	2	no	—
1825	D₄	—	136	1	no	—
1826	D₄	—	136	1	no	—
1827	D₄	—	136	1	no	—
1828	D₄	—	136	1	no	—
1829	D₄	—	136	1	no	—
1830	D₄	—	136	1	no	—
1831	D₄	—	136	1	no	—
1832	D₄	—	136	1	no	—
1833	D₄	—	136	1	no	—
1834	D₄	—	136	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	2	1	no	—
1839	C₂×C₄	—	2	1	no	—
1840	C₂×C₄	—	2	1	no	—
1841	C₂×C₄	—	4	2	no	—
1842	C₂×C₄	—	8	1	no	—
1843	C₂×C₄	—	17	1	no	—
1844	C₂×C₄	—	17	1	no	—
1845	C₂×C₄	—	17	1	no	—
1846	C₂×C₄	—	17	1	no	—
1847	C₂×C₄	—	34	1	no	—
1848	C₂×C₄	—	34	1	no	—
1849	C₂×C₄	—	34	1	no	—
1850	C₂×C₄	—	34	1	no	—
1851	C₂×C₄	—	34	1	no	—
1852	C₂×C₄	—	34	1	no	—
1853	C₂×C₄	—	34	1	no	—
1854	C₂×C₄	—	34	1	no	—
1855	C₂×C₄	—	34	1	no	—
1856	C₂×C₄	—	34	1	no	—
1857	C₂×C₄	—	34	1	no	—
1858	C₂×C₄	—	34	1	no	—
1859	C₂×C₄	—	34	1	no	—
1860	C₂×C₄	—	68	1	no	—
1861	C₂×C₄	—	68	1	no	—
1862	C₂×C₄	—	68	2	no	—
1863	C₂×C₄	—	68	2	no	—
1864	C₂×C₄	—	68	2	no	—
1865	C₂×C₄	—	68	1	no	—
1866	C₂×C₄	—	136	1	no	—
1867	C₂×C₄	—	136	1	no	—
1868	C₂×C₄	—	136	1	no	—
1869	C₂×C₄	—	136	1	no	—
1870	C₂×C₄	—	136	1	no	—
1871	C₂×C₄	—	136	1	no	—
1872	C₂×C₄	—	136	1	no	—
1873	C₂×C₄	—	136	1	no	—
1874	C₂×C₄	—	136	1	no	—
1875	C₂×C₄	—	136	1	no	—
1876	C₂×C₄	—	136	1	no	—
1877	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1878	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1879	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1880	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1881	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1882	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1883	C₈	—	2	1	no	—
1884	C₈	—	2	1	no	—
1885	C₈	—	2	1	no	—
1886	C₈	—	2	1	no	—
1887	C₈	—	34	1	no	—
1888	C₈	—	34	1	no	—
1889	C₈	—	34	1	no	—
1890	C₈	—	34	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	2	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	8	4	no	—
1907	C₂²	—	272	2	no	—
1908	C₂²	—	272	2	no	—
1909	C₂²	—	272	2	no	—
1910	C₂²	—	17	2	no	—
1911	C₂²	—	17	2	no	—
1912	C₂²	—	34	1	no	—
1913	C₂²	—	34	1	no	—
1914	C₂²	—	34	1	no	—
1915	C₂²	—	34	1	no	—
1916	C₂²	—	34	1	no	—
1917	C₂²	—	34	1	no	—
1918	C₂²	—	34	2	no	—
1919	C₂²	—	34	2	no	—
1920	C₂²	—	34	1	no	—
1921	C₂²	—	34	1	no	—
1922	C₂²	—	34	1	no	—
1923	C₂²	—	34	1	no	—
1924	C₂²	—	68	4	no	—
1925	C₂²	—	68	1	no	—
1926	C₂²	—	68	1	no	—
1927	C₂²	—	68	1	no	—
1928	C₂²	—	68	1	no	—
1929	C₂²	—	68	1	no	—
1930	C₂²	—	68	1	no	—
1931	C₂²	—	68	1	no	—
1932	C₂²	—	136	4	no	—
1933	C₂²	—	136	4	no	—
1934	C₂²	—	136	4	no	—
1935	C₂²	—	136	4	no	—
1936	C₂²	—	136	4	no	—
1937	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1938	C₄	—	2	1	no	—
1939	C₄	—	2	1	no	—
1940	C₄	—	2	1	no	—
1941	C₄	—	2	1	no	—
1942	C₄	—	2	1	no	—
1943	C₄	—	4	1	no	—
1944	C₄	—	4	1	no	—
1945	C₄	—	4	1	no	—
1946	C₄	—	4	1	no	—
1947	C₄	—	34	1	no	—
1948	C₄	—	34	1	no	—
1949	C₄	—	34	1	no	—
1950	C₄	—	34	1	no	—
1951	C₄	—	68	1	no	—
1952	C₄	—	68	1	no	—
1953	C₄	—	68	1	no	—
1954	C₄	—	68	1	no	—
1955	C₄	—	68	1	no	—
1956	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1957	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1958	C₂	—	4	1	no	—
1959	C₂	—	8	1	no	—
1960	C₂	—	8	1	no	—
1961	C₂	—	8	1	no	—
1962	C₂	—	8	1	no	—
1963	C₂	—	34	2	no	—
1964	C₂	—	34	2	no	—
1965	C₂	—	68	1	no	—
1966	C₂	—	68	1	no	—
1967	C₂	—	68	2	no	—
1968	C₂	—	68	2	no	—
1969	C₂	—	136	1	no	—
1970	C₂	#14542418	1	1	yes	characteristic
1971	C₂	D₁₇×#576	1	1	yes	characteristic
1972	C₂	D₁₇×#577	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×#3224	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3224	D₁₇
hypocenter	C₁₇	#61629
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3224

Complements

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

N	H ≅ G/N	type
1. #14543009	C₂	semidirect
2. #14542418	C₂	semidirect
3. #14540872	C₂	semidirect
4. #14540864	C₂	semidirect
5. #14540752	C₂	semidirect
6. #14540744	C₂	semidirect
7. #14540611	C₂	semidirect
8. #14540607	C₂	semidirect
9. #14540600	C₂	semidirect
10. #14540596	C₂	semidirect
11. #14540490	C₂	semidirect
12. #14540486	C₂	semidirect
13. #14540468	C₂	semidirect
14. #14540464	C₂	semidirect
15. #14540278	C₂	semidirect
16. #14540274	C₂	semidirect
17. #14540263	C₂	semidirect
18. #14540259	C₂	semidirect
19. #14539878	C₂	semidirect
20. #14539640	C₂	semidirect
21. #14539632	C₂	semidirect
22. #14539563	C₂	semidirect
23. #14539547	C₂	semidirect
24. #14538970	C₂	semidirect
25. #14538962	C₂	semidirect
26. #14538092	C₂	semidirect
27. #14538086	C₂	semidirect
28. D₁₇×#450	C₂	semidirect
29. D₁₇×#447	C₂	semidirect
30. #14537839	C₂	semidirect
31. C₁₇×#3224	C₂	semidirect
32. C₂×#10587696	C₂²	semidirect
34. C₂×#10587600	C₂²	semidirect
35. C₂×#10587597	C₂²	semidirect
36. C₂×#10587605	C₂²	semidirect
37. C₂×#10587602	C₂²	semidirect
38. C₂×SD₁₆×D₁₇	C₂²	semidirect
39. C₂×SD₁₆×D₁₇	C₂²	semidirect
40. C₂×D₈×D₁₇	C₂²	semidirect
41. C₂×D₈×D₁₇	C₂²	semidirect
44. #11763520	C₂²	semidirect
45. #11763519	C₂²	semidirect
46. #11763471	C₂²	semidirect
47. #11763467	C₂²	semidirect
48. #11763464	C₂²	semidirect
49. #11763462	C₂²	semidirect
52. #11763454	C₂²	semidirect
56. #11763452	C₂²	semidirect
57. #11763452	C₂²	semidirect
58. #11763452	C₂²	semidirect
62. #11763444	C₂²	semidirect
63. #11763444	C₂²	semidirect
67. #11763430	C₂²	semidirect
71. #11763389	C₂²	semidirect
72. #11763388	C₂²	semidirect
73. #11763376	C₂²	semidirect
78. C₂²⋊Q₈×D₁₇	C₂²	semidirect
79. #121×D₁₇	C₂²	semidirect
82. #11763283	C₂²	semidirect
83. #11763196	C₂²	semidirect
84. #11763191	C₂²	semidirect
85. #11763168	C₂²	semidirect
86. #11763155	C₂²	semidirect
87. #11763151	C₂²	semidirect
88. #11763147	C₂²	semidirect
89. #11763143	C₂²	semidirect
90. #11763138	C₂²	semidirect
91. #11763134	C₂²	semidirect
92. #11763130	C₂²	semidirect
93. #11763126	C₂²	semidirect
94. #11763126	C₂²	semidirect
95. #11763126	C₂²	semidirect
96. #11763121	C₂²	semidirect
97. #11763121	C₂²	semidirect
98. #11763121	C₂²	semidirect
99. #11763100	C₂²	semidirect
100. #11763096	C₂²	semidirect
101. #11763090	C₂²	semidirect
102. #11763086	C₂²	semidirect
103. #11763061	C₂²	semidirect
104. #11763059	C₂²	semidirect
105. #11763054	C₂²	semidirect
106. #11763052	C₂²	semidirect
107. #11763049	C₂²	semidirect
108. #11763047	C₂²	semidirect
109. #11763044	C₂²	semidirect
110. #11763044	C₂²	semidirect
111. #11763042	C₂²	semidirect
112. #11763042	C₂²	semidirect
113. #11763041	C₂²	semidirect
114. #11763037	C₂²	semidirect
115. #11763037	C₂²	semidirect
116. #11763035	C₂²	semidirect
117. #11763035	C₂²	semidirect
118. #11763035	C₂²	semidirect
119. #11763028	C₂²	semidirect
120. #11763025	C₂²	semidirect
121. #11763025	C₂²	semidirect
122. #11763021	C₂²	semidirect
123. #11763021	C₂²	semidirect
124. #11763021	C₂²	semidirect
125. #11763006	C₂²	semidirect
126. #11763001	C₂²	semidirect
127. #11762974	C₂²	semidirect
128. #11762971	C₂²	semidirect
129. #11762970	C₂²	semidirect
130. #11762963	C₂²	semidirect
131. #11762962	C₂²	semidirect
132. #11762961	C₂²	semidirect
133. #11762961	C₂²	semidirect
134. #11762961	C₂²	semidirect
135. #11762960	C₂²	semidirect
136. #11762959	C₂²	semidirect
137. #11762958	C₂²	semidirect
138. #11762958	C₂²	semidirect
139. #11762958	C₂²	semidirect
140. #11762958	C₂²	semidirect
141. #11762957	C₂²	semidirect
142. #11762954	C₂²	semidirect
143. #11762953	C₂²	semidirect
144. #11762953	C₂²	semidirect
145. #11762953	C₂²	semidirect
146. #11762951	C₂²	semidirect
147. #11762951	C₂²	semidirect
148. #11762946	C₂²	semidirect
150. #11762944	C₂²	semidirect
151. #11762944	C₂²	semidirect
152. #11762944	C₂²	semidirect
153. #11762943	C₂²	semidirect
155. #11762941	C₂²	semidirect
156. #11762941	C₂²	semidirect
157. #11762941	C₂²	semidirect
158. #11762941	C₂²	semidirect
159. #11762922	C₂²	semidirect
160. #11762919	C₂²	semidirect
161. #11762911	C₂²	semidirect
162. #11762907	C₂²	semidirect
163. C₄×#63219	C₂²	semidirect
164. C₄×#63230	C₂²	semidirect
165. C₄×D₁₃₆	C₂²	semidirect
166. C₄×#63228	C₂²	semidirect
167. #11762882	C₂²	semidirect
168. #11762882	C₂²	semidirect
169. #11762879	C₂²	semidirect
170. #11762879	C₂²	semidirect
171. C₈×D₆₈	C₂²	semidirect
172. C₈×D₆₈	C₂²	semidirect
173. #11762874	C₂²	semidirect
174. #11762874	C₂²	semidirect
175. #11762870	C₂²	semidirect
176. #11762809	C₂²	semidirect
177. #11762809	C₂²	semidirect
178. #102×D₁₇	C₂²	semidirect
179. #102×D₁₇	C₂²	semidirect
180. #102×D₁₇	C₂²	semidirect
181. #102×D₁₇	C₂²	semidirect
182. #102×D₁₇	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
184. #11762774	C₂²	semidirect
185. #11762774	C₂²	semidirect
186. C₂²⋊C₈×D₁₇	C₂²	semidirect
187. C₂²⋊C₈×D₁₇	C₂²	semidirect
188. C₁₇×#542	C₂²	semidirect
189. C₁₇×#535	C₂²	semidirect
190. C₁₇×#496	C₂²	semidirect
191. C₁₇×#495	C₂²	semidirect
192. C₁₇×#489	C₂²	semidirect
193. C₁₇×#486	C₂²	semidirect
194. C₁₇×#464	C₂²	semidirect
195. C₁₇×#463	C₂²	semidirect
196. C₁₇×#460	C₂²	semidirect
197. C₁₇×#459	C₂²	semidirect
198. C₁₇×#452	C₂²	semidirect
199. C₁₇×#450	C₂²	semidirect
200. C₁₇×#449	C₂²	semidirect
201. C₁₇×#447	C₂²	semidirect
202. C₁₇×#433	C₂²	semidirect
212. C₂×#63256	C₂³	semidirect
214. C₂×#63254	C₂³	semidirect
239. C₂×Q₁₆×C₁₇	C₂³	semidirect
242. C₂×SD₁₆×C₁₇	C₂³	semidirect
243. C₂×SD₁₆×C₁₇	C₂³	semidirect
246. C₂×D₈×C₁₇	C₂³	semidirect
247. C₁₇×C₄⋊Q₈	C₂³	semidirect
254. C₁₇×#124	C₂³	semidirect
263. C₄×Q₈×C₁₇	C₂³	semidirect
264. C₄×D₄×C₁₇	C₂³	semidirect
274. #10587632	C₂³	semidirect
275. C₂×#63231	C₂³	semidirect
278. C₂×#63230	C₂³	semidirect
294. #10587624	C₂³	semidirect
308. C₂×#63229	C₂³	semidirect
313. C₂×#63228	C₂³	semidirect
334. C₂×#63218	C₂³	semidirect
335. C₂×#63218	C₂³	semidirect
340. C₂×C₈×D₁₇	C₂³	semidirect
341. C₂×C₈×D₁₇	C₂³	semidirect
347. #10587583	C₂³	semidirect
358. #10587581	C₂³	semidirect
367. C₄⋊C₄×D₁₇	C₂³	semidirect
368. C₄⋊C₄×D₁₇	C₂³	semidirect
415. #10587561	C₂³	semidirect
426. C₄×D₆₈	C₂³	semidirect
428. #10587555	C₂³	semidirect
429. C₄×Dic₃₄	C₂³	semidirect
430. C₁₇×C₄⋊C₈	C₂³	semidirect
431. C₁₇×C₄⋊C₈	C₂³	semidirect
432. C₁₇×#103	C₂³	semidirect
433. C₁₇×#103	C₂³	semidirect
438. C₁₇×#102	C₂³	semidirect
439. C₁₇×#102	C₂³	semidirect
442. C₁₇×#97	C₂³	semidirect
443. C₄×C₈×C₁₇	C₂³	semidirect
444. #10587506	C₂³	semidirect
445. #10587506	C₂³	semidirect
446. #10587506	C₂³	semidirect
447. #10587506	C₂³	semidirect
452. #10587503	C₂³	semidirect
453. #10587503	C₂³	semidirect
454. #10587503	C₂³	semidirect
455. #10587503	C₂³	semidirect
462. #10587492	C₂³	semidirect
463. #10587492	C₂³	semidirect
468. #10587491	C₂³	semidirect
469. #10587491	C₂³	semidirect
470. #10587491	C₂³	semidirect
471. #10587491	C₂³	semidirect
472. #10587489	C₂³	semidirect
473. #10587489	C₂³	semidirect
474. #10587488	C₂³	semidirect
475. #10587488	C₂³	semidirect
476. #10587487	C₂³	semidirect
477. #10587487	C₂³	semidirect
482. #10587479	C₂³	semidirect
483. #10587479	C₂³	semidirect
484. #10587478	C₂³	semidirect
485. #10587478	C₂³	semidirect
486. C₄⋊#3622	C₂³	semidirect
487. C₄⋊#3622	C₂³	semidirect
488. #10587474	C₂³	semidirect
489. C₄×#3622	C₂³	semidirect
924. #3224	D₁₇	semidirect
1039. #542	C₂×D₁₇	semidirect
1046. #535	C₂×D₁₇	semidirect
1057. #496	C₂×D₁₇	semidirect
1059. #495	C₂×D₁₇	semidirect
1061. #489	C₂×D₁₇	semidirect
1063. #486	C₂×D₁₇	semidirect
1097. #464	C₂×D₁₇	semidirect
1103. #463	C₂×D₁₇	semidirect
1105. #460	C₂×D₁₇	semidirect
1107. #459	C₂×D₁₇	semidirect
1111. #452	C₂×D₁₇	semidirect
1123. #450	C₂×D₁₇	semidirect
1131. #449	C₂×D₁₇	semidirect
1143. #447	C₂×D₁₇	semidirect
1161. #433	C₂×D₁₇	semidirect
1230. C₂×Q₁₆	C₂²×D₁₇	semidirect
1243. C₂×SD₁₆	C₂²×D₁₇	semidirect
1244. C₂×SD₁₆	C₂²×D₁₇	semidirect
1256. C₂×D₈	C₂²×D₁₇	semidirect
1266. C₄⋊Q₈	C₂²×D₁₇	semidirect
1282. #124	C₂²×D₁₇	semidirect
1380. C₄×Q₈	C₂²×D₁₇	semidirect
1398. C₄×D₄	C₂²×D₁₇	semidirect
1426. C₄⋊C₈	C₂²×D₁₇	semidirect
1427. C₄⋊C₈	C₂²×D₁₇	semidirect
1434. #103	C₂²×D₁₇	semidirect
1435. #103	C₂²×D₁₇	semidirect
1458. #102	C₂²×D₁₇	semidirect
1459. #102	C₂²×D₁₇	semidirect
1473. #97	C₂²×D₁₇	semidirect
1475. C₄×C₈	C₂²×D₁₇	semidirect
1476. C₁₇	#61629	semidirect

Maximal subgroups

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

subgroup	index
#14543009	2
#14542418	2
#14540872	2
#14540864	2
#14540752	2
#14540744	2
#14540611	2
#14540607	2
#14540600	2
#14540596	2
#14540490	2
#14540486	2
#14540468	2
#14540464	2
#14540278	2
#14540274	2
#14540263	2
#14540259	2
#14539878	2
#14539640	2
#14539632	2
#14539563	2
#14539547	2
#14538970	2
#14538962	2
#14538092	2
#14538086	2
D₁₇×#450	2
D₁₇×#447	2
#14537839	2
C₁₇×#3224	2
#61629	17