Subgroups — #17903075

Order 4352.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542534	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#14539037	C₂	1	1	yes	maximal, characteristic, complemented
4	#14539036	C₂	1	1	yes	maximal, characteristic, complemented
5	#14539032	C₂	1	1	yes	maximal, characteristic, complemented
6	#14539030	C₂	1	1	yes	maximal, characteristic, complemented
7	#14538963	C₂	1	1	yes	maximal, characteristic, complemented
8	#14538962	C₂	1	1	yes	maximal, characteristic, complemented
9	#14538961	C₂	1	1	yes	maximal, characteristic, complemented
10	#14538921	C₂	1	1	yes	maximal, characteristic, complemented
11	#14538920	C₂	1	1	yes	maximal, characteristic, complemented
12	#14538885	C₂	1	1	yes	maximal, characteristic, complemented
13	#14538881	C₂	1	1	yes	maximal, characteristic, complemented
14	#14538830	C₂	1	1	yes	maximal, characteristic, complemented
15	#14538829	C₂	1	1	yes	maximal, characteristic, complemented
16	#14538794	C₂	1	1	yes	maximal, characteristic, complemented
17	#14538790	C₂	1	1	yes	maximal, characteristic, complemented
18	#14538731	C₂	1	1	yes	maximal, characteristic, complemented
19	#14538696	C₂	1	1	yes	maximal, characteristic, complemented
20	#14538610	C₂	1	1	yes	maximal, characteristic, complemented
21	#14538608	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538294	C₂	1	1	yes	maximal, characteristic, complemented
23	#14538294	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538008	C₂	1	1	yes	maximal, characteristic
25	D₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
26	#14537640	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537638	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537613	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537609	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537440	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
33	C₂×#10587597	C₂²	1	1	yes	characteristic
34	C₂×#10587597	C₂²	1	1	yes	characteristic
35	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic
36	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic
37	#11763528	—	2	1	no	—
38	#11763513	—	2	1	no	—
39	#11763496	—	2	1	no	—
40	#11763495	—	2	1	no	—
41	#11763495	—	2	1	no	—
42	#11763493	—	2	1	no	—
43	#11763489	—	2	1	no	—
44	#11763487	—	2	1	no	—
45	#11763436	C₂²	1	1	yes	characteristic, complemented
46	#11763426	C₂²	1	1	yes	characteristic, complemented
47	#11763421	C₂²	1	1	yes	characteristic, complemented
48	#11763419	C₂²	1	1	yes	characteristic, complemented
49	#11763379	C₂²	1	1	yes	characteristic, complemented
50	#11763364	C₂²	1	1	yes	characteristic, complemented
51	#11763363	C₂²	1	1	yes	characteristic, complemented
52	#11763341	C₂²	1	1	yes	characteristic, complemented
53	#11763338	C₂²	1	1	yes	characteristic, complemented
54	#11763319	C₂²	1	1	yes	characteristic
55	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
56	#11763288	C₂²	1	1	yes	characteristic, complemented
57	#11763285	C₂²	1	1	yes	characteristic, complemented
58	#11763284	C₂²	1	1	yes	characteristic
59	#11763283	C₂²	1	1	yes	characteristic
60	#11763283	C₂²	1	1	yes	characteristic
61	#11763282	—	2	1	no	—
62	#11763282	—	2	1	no	—
63	#11763281	—	2	1	no	—
64	#11763281	—	2	1	no	—
65	#11763281	C₂²	1	1	yes	characteristic
66	#11763281	C₂²	1	1	yes	characteristic
67	#11763281	C₂²	1	1	yes	characteristic
68	#11763281	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₁₇	—	2	1	no	—
70	C₄×D₄×D₁₇	—	2	1	no	—
71	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
75	#117×D₁₇	C₂²	1	1	yes	characteristic
76	#117×D₁₇	C₂²	1	1	yes	characteristic
77	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
78	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
79	#11763151	C₂²	1	1	yes	characteristic, complemented
80	#11763151	C₂²	1	1	yes	characteristic, complemented
81	#11763150	C₂²	1	1	yes	characteristic, complemented
82	#11763150	C₂²	1	1	yes	characteristic, complemented
83	#11763147	C₂²	1	1	yes	characteristic, complemented
84	#11763146	C₂²	1	1	yes	characteristic, complemented
85	#11763146	C₂²	1	1	yes	characteristic, complemented
86	#11763143	C₂²	1	1	yes	characteristic, complemented
87	#11763141	C₂²	1	1	yes	characteristic, complemented
88	#11763141	C₂²	1	1	yes	characteristic, complemented
89	#11763138	C₂²	1	1	yes	characteristic, complemented
90	#11763130	C₂²	1	1	yes	characteristic, complemented
91	#11763126	C₂²	1	1	yes	characteristic, complemented
92	#11763121	C₂²	1	1	yes	characteristic, complemented
93	#11763112	C₂²	1	1	yes	characteristic, complemented
94	#11763111	C₂²	1	1	yes	characteristic, complemented
95	#11763110	C₂²	1	1	yes	characteristic, complemented
96	#11763110	C₂²	1	1	yes	characteristic, complemented
97	#11763109	C₂²	1	1	yes	characteristic, complemented
98	#11763109	C₂²	1	1	yes	characteristic, complemented
99	#11763108	C₂²	1	1	yes	characteristic, complemented
100	#11763107	C₂²	1	1	yes	characteristic, complemented
101	#11763098	C₂²	1	1	yes	characteristic, complemented
102	#11763097	C₂²	1	1	yes	characteristic, complemented
103	#11763096	C₂²	1	1	yes	characteristic, complemented
104	#11763088	C₂²	1	1	yes	characteristic, complemented
105	#11763087	C₂²	1	1	yes	characteristic, complemented
106	#11763086	C₂²	1	1	yes	characteristic, complemented
107	#11763023	C₂²	1	1	yes	characteristic, complemented
108	#11763023	C₂²	1	1	yes	characteristic, complemented
109	#11763022	C₂²	1	1	yes	characteristic, complemented
110	#11763022	C₂²	1	1	yes	characteristic, complemented
111	#11763021	C₂²	1	1	yes	characteristic, complemented
112	#11763021	C₂²	1	1	yes	characteristic, complemented
113	#11763015	C₂²	1	1	yes	characteristic, complemented
114	#11763015	C₂²	1	1	yes	characteristic, complemented
115	#11763014	C₂²	1	1	yes	characteristic, complemented
116	#11763014	C₂²	1	1	yes	characteristic, complemented
117	#11763013	C₂²	1	1	yes	characteristic, complemented
118	#11763013	C₂²	1	1	yes	characteristic, complemented
119	#11763012	C₂²	1	1	yes	characteristic, complemented
120	#11763012	C₂²	1	1	yes	characteristic, complemented
121	#11762962	C₂²	1	1	yes	characteristic
122	#11762962	C₂²	1	1	yes	characteristic
123	#11762961	C₂²	1	1	yes	characteristic
124	#11762961	C₂²	1	1	yes	characteristic
125	#11762961	C₂²	1	1	yes	characteristic
126	#11762961	C₂²	1	1	yes	characteristic
127	#11762960	C₂²	1	1	yes	characteristic
128	#11762960	C₂²	1	1	yes	characteristic
129	#11762959	C₂²	1	1	yes	characteristic
130	#11762958	C₂²	1	1	yes	characteristic
131	#11762958	C₂²	1	1	yes	characteristic
132	#11762942	C₂²	1	1	yes	characteristic
133	#11762941	C₂²	1	1	yes	characteristic
134	#11762941	C₂²	1	1	yes	characteristic
135	#11762921	C₂²	1	1	yes	characteristic, complemented
136	#11762919	C₂²	1	1	yes	characteristic, complemented
137	#11762918	C₂²	1	1	yes	characteristic, complemented
138	#11762912	C₂²	1	1	yes	characteristic, complemented
139	#11762911	C₂²	1	1	yes	characteristic, complemented
140	#11762911	C₂²	1	1	yes	characteristic, complemented
141	#11762910	C₂²	1	1	yes	characteristic, complemented
142	#11762909	C₂²	1	1	yes	characteristic, complemented
143	#11762909	C₂²	1	1	yes	characteristic, complemented
144	#11762908	C₂²	1	1	yes	characteristic, complemented
145	#11762908	C₂²	1	1	yes	characteristic, complemented
146	#11762907	C₂²	1	1	yes	characteristic, complemented
147	#11762906	C₂²	1	1	yes	characteristic, complemented
148	#11762906	C₂²	1	1	yes	characteristic, complemented
149	#11762900	C₂²	1	1	yes	characteristic, complemented
150	#11762900	C₂²	1	1	yes	characteristic, complemented
151	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
152	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
153	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
154	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
155	#11762896	C₂²	1	1	yes	characteristic, complemented
156	#11762896	C₂²	1	1	yes	characteristic, complemented
157	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
158	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
159	#11762894	C₂²	1	1	yes	characteristic, complemented
160	D₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
161	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
162	#11762889	C₂²	1	1	yes	characteristic, complemented
163	#11762870	C₂²	1	1	yes	characteristic, complemented
164	#11762867	C₂²	1	1	yes	characteristic, complemented
165	#11762867	C₂²	1	1	yes	characteristic, complemented
166	#11762865	C₂²	1	1	yes	characteristic, complemented
167	#11762864	C₂²	1	1	yes	characteristic, complemented
168	#11762861	C₂²	1	1	yes	characteristic, complemented
169	#11762860	C₂²	1	1	yes	characteristic, complemented
170	#11762850	C₂²	1	1	yes	characteristic, complemented
171	#11762848	C₂²	1	1	yes	characteristic, complemented
172	#11762846	C₂²	1	1	yes	characteristic, complemented
173	#11762844	C₂²	1	1	yes	characteristic, complemented
174	#11762834	C₂²	1	1	yes	characteristic, complemented
175	#11762834	C₂²	1	1	yes	characteristic, complemented
176	#11762816	C₂²	1	1	yes	characteristic, complemented
177	#11762816	C₂²	1	1	yes	characteristic, complemented
178	#11762812	C₂²	1	1	yes	characteristic
179	#11762812	C₂²	1	1	yes	characteristic
180	#11762802	C₂²	1	1	yes	characteristic, complemented
181	#11762802	C₂²	1	1	yes	characteristic, complemented
182	#102×D₁₇	C₂²	1	1	yes	characteristic
183	#102×D₁₇	C₂²	1	1	yes	characteristic
184	#11762771	C₂²	1	1	yes	characteristic
185	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
186	#11762766	C₂²	1	1	yes	characteristic, complemented
187	#11762763	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#542	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#518	C₂²	1	1	yes	characteristic
190	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#476	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#474	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#450	C₂²	1	1	yes	characteristic
197	C₁₇×#447	C₂²	1	1	yes	characteristic
198	C₁₇×#442	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
200	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
201	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
202	C₁₇×#433	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₇	—	2	1	no	—
206	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
207	C₂×#63254	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₇	—	2	4	no	—
209	C₂×D₄×D₁₇	—	2	4	no	—
210	C₂×D₄×D₁₇	—	2	1	no	—
211	C₂×D₄×D₁₇	—	2	1	no	—
212	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
216	C₂²×D₆₈	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₁₇	—	2	1	no	—
218	C₂²×C₄×D₁₇	—	2	1	no	—
219	C₂²×C₄×D₁₇	—	2	1	no	—
220	C₂²×C₄×D₁₇	—	2	1	no	—
221	C₂²×C₄×D₁₇	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×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
227	C₁₇×#126	—	2	1	no	—
228	C₁₇×#124	—	2	1	no	—
229	C₁₇×#124	C₂³	1	1	yes	characteristic, complemented
230	C₁₇×#123	—	2	1	no	—
231	C₁₇×C₂²⋊Q₈	—	2	1	no	—
232	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₇×#121	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
235	C₄×D₄×C₁₇	—	2	1	no	—
236	C₄×D₄×C₁₇	—	2	1	no	—
237	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
242	C₁₇×#117	C₂³	1	1	yes	characteristic
243	C₁₇×#117	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
245	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
246	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
247	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
248	#10587632	—	2	1	no	—
249	#10587632	—	2	1	no	—
250	#10587632	C₂³	1	1	yes	characteristic
251	Q₈×Dic₁₇	—	2	1	no	—
252	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
253	#10587630	—	2	1	no	—
254	#10587630	C₂³	1	1	yes	characteristic, complemented
255	C₂×#63230	C₂³	1	1	yes	characteristic
256	C₂×#63230	C₂³	1	1	yes	characteristic
257	#10587624	C₂³	1	1	yes	characteristic
258	#10587623	—	2	1	no	—
259	#10587622	—	2	1	no	—
260	#10587622	C₂³	1	1	yes	characteristic, complemented
261	#10587621	—	2	1	no	—
262	D₄×Dic₁₇	—	2	1	no	—
263	D₄×Dic₁₇	—	2	1	no	—
264	D₄×Dic₁₇	—	2	1	no	—
265	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
266	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
267	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
269	D₄×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
270	C₂×#63229	C₂³	1	1	yes	characteristic
271	C₂×#63229	C₂³	1	1	yes	characteristic
272	C₂×#63229	C₂³	1	1	yes	characteristic
273	C₂×#63229	C₂³	1	1	yes	characteristic
274	C₂×#63228	C₂³	1	1	yes	characteristic
275	C₂×#63228	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₁₇	—	2	1	no	—
277	C₄×C₂²⋊D₁₇	—	2	1	no	—
278	C₄×C₂²⋊D₁₇	—	2	1	no	—
279	C₄×C₂²⋊D₁₇	—	2	1	no	—
280	C₄×C₂²⋊D₁₇	—	2	1	no	—
281	C₄×C₂²⋊D₁₇	—	2	1	no	—
282	C₄×C₂²⋊D₁₇	—	2	1	no	—
283	C₄×C₂²⋊D₁₇	—	2	1	no	—
284	C₄×C₂²⋊D₁₇	—	2	1	no	—
285	C₄×C₂²⋊D₁₇	—	2	1	no	—
286	C₂×#63227	—	2	1	no	—
287	C₂×#63227	—	2	1	no	—
288	C₂×#63227	—	2	1	no	—
289	C₂×#63227	—	2	1	no	—
290	#10587612	—	2	1	no	—
291	#10587612	C₂³	1	1	yes	characteristic
292	#10587612	C₂³	1	1	yes	characteristic
293	#10587610	C₂³	1	1	yes	characteristic
294	#10587610	C₂³	1	1	yes	characteristic
295	C₂×#63225	—	2	1	no	—
296	SD₁₆×D₁₇	—	2	4	no	—
297	SD₁₆×D₁₇	—	2	4	no	—
298	#10587597	—	2	4	no	—
299	#10587597	—	2	4	no	—
300	C₂×#63219	C₂³	1	1	yes	characteristic
301	C₂×#63219	C₂³	1	1	yes	characteristic
302	C₂×#63219	C₂³	1	1	yes	characteristic
303	C₂×#63219	C₂³	1	1	yes	characteristic
304	C₂×#63218	C₂³	1	1	yes	characteristic
305	C₂×#63218	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
308	#10587583	C₂³	1	1	yes	characteristic
309	#10587583	C₂³	1	1	yes	characteristic
310	#10587582	—	2	1	no	—
311	#10587582	—	2	1	no	—
312	#10587582	—	2	1	no	—
313	#10587579	—	2	1	no	—
314	#10587579	—	2	1	no	—
315	#10587579	C₂³	1	1	yes	characteristic
316	#10587579	C₂³	1	1	yes	characteristic
317	#10587579	C₂³	1	1	yes	characteristic
318	#10587579	C₂³	1	1	yes	characteristic
319	#10587578	—	2	1	no	—
320	#10587578	—	2	1	no	—
321	#10587578	D₄	1	1	yes	characteristic
322	#10587578	D₄	1	1	yes	characteristic
323	#10587578	C₂³	1	1	yes	characteristic
324	#10587578	C₂³	1	1	yes	characteristic
325	#10587578	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×D₁₇	—	2	1	no	—
327	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
328	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
329	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
332	#10587576	—	2	1	no	—
333	#10587576	—	2	1	no	—
334	#10587576	C₂³	1	1	yes	characteristic, complemented
335	#10587575	—	2	1	no	—
336	#10587575	—	2	1	no	—
337	#10587575	—	2	1	no	—
338	#10587575	—	2	1	no	—
339	#10587575	—	2	1	no	—
340	#10587574	C₂³	1	1	yes	characteristic, complemented
341	#10587573	—	2	1	no	—
342	#10587573	C₂³	1	1	yes	characteristic, complemented
343	#10587573	C₂³	1	1	yes	characteristic, complemented
344	#10587569	—	2	1	no	—
345	#10587569	—	2	1	no	—
346	#10587569	—	2	1	no	—
347	#10587569	—	2	1	no	—
348	#10587569	—	2	1	no	—
349	#10587567	—	2	1	no	—
350	#10587567	—	2	1	no	—
351	#10587567	—	2	1	no	—
352	#10587567	—	2	1	no	—
353	#10587567	—	2	1	no	—
354	#10587567	—	2	1	no	—
355	#10587567	—	2	1	no	—
356	#10587567	—	2	1	no	—
357	#10587567	—	2	1	no	—
358	#10587567	—	2	1	no	—
359	#10587567	—	2	1	no	—
360	C₂²⋊C₄×D₁₇	—	2	1	no	—
361	C₂²⋊C₄×D₁₇	—	2	1	no	—
362	C₂²⋊C₄×D₁₇	—	2	1	no	—
363	C₂²⋊C₄×D₁₇	—	2	1	no	—
364	C₂²⋊C₄×D₁₇	—	2	1	no	—
365	C₂²⋊C₄×D₁₇	—	2	1	no	—
366	C₂²⋊C₄×D₁₇	—	2	1	no	—
367	C₂²⋊C₄×D₁₇	—	2	1	no	—
368	C₂²⋊C₄×D₁₇	—	2	1	no	—
369	C₂²⋊C₄×D₁₇	—	2	1	no	—
370	C₂²⋊C₄×D₁₇	—	2	1	no	—
371	C₂²⋊C₄×D₁₇	—	2	1	no	—
372	C₂²⋊C₄×D₁₇	—	2	1	no	—
373	C₂²⋊C₄×D₁₇	—	2	1	no	—
374	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
375	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
376	#10587565	—	2	1	no	—
377	#10587565	—	2	1	no	—
378	#10587565	—	2	1	no	—
379	#10587565	—	2	1	no	—
380	#10587565	—	2	1	no	—
381	#10587565	—	2	1	no	—
382	#10587565	—	2	1	no	—
383	#10587564	—	2	1	no	—
384	#10587564	—	2	1	no	—
385	#10587564	—	2	1	no	—
386	#10587564	—	2	1	no	—
387	#10587563	—	2	1	no	—
388	#10587563	—	2	1	no	—
389	#10587563	—	2	1	no	—
390	#10587563	D₄	1	1	yes	characteristic
391	#10587563	D₄	1	1	yes	characteristic
392	C₄×D₆₈	—	2	1	no	—
393	C₄×D₆₈	—	2	1	no	—
394	C₄×D₆₈	C₂³	1	1	yes	characteristic
395	C₄×D₆₈	C₂³	1	1	yes	characteristic
396	C₄×D₆₈	C₂³	1	1	yes	characteristic
397	C₄×D₆₈	C₂³	1	1	yes	characteristic
398	#10587558	—	2	1	no	—
399	#10587558	—	2	1	no	—
400	#10587558	—	2	1	no	—
401	#10587558	C₂³	1	1	yes	characteristic
402	#10587558	C₂³	1	1	yes	characteristic
403	C₄²×D₁₇	—	2	1	no	—
404	C₄²×D₁₇	C₂³	1	1	yes	characteristic
405	C₄²×D₁₇	C₂³	1	1	yes	characteristic
406	#10587556	C₂³	1	1	yes	characteristic, complemented
407	#10587555	C₂³	1	1	yes	characteristic, complemented
408	C₄×Dic₃₄	—	2	1	no	—
409	C₄×Dic₃₄	—	2	1	no	—
410	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
411	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
412	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
413	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
414	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
415	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
416	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
417	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
418	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
419	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
420	C₁₇×#102	C₂³	1	1	yes	characteristic
421	C₁₇×#102	C₂³	1	1	yes	characteristic
422	C₁₇×#102	C₂³	1	1	yes	characteristic
423	C₁₇×#102	C₂³	1	1	yes	characteristic
424	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
425	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
426	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₇×#97	C₂³	1	1	yes	characteristic, complemented
429	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
430	#10587506	C₂³	1	1	yes	characteristic, complemented
431	#10587506	C₂³	1	1	yes	characteristic, complemented
432	#10587503	C₂³	1	1	yes	characteristic
433	#10587503	C₂³	1	1	yes	characteristic
434	#10587503	C₂³	1	1	yes	characteristic
435	#10587503	C₂³	1	1	yes	characteristic
436	#10587503	C₂³	1	1	yes	characteristic, complemented
437	#10587503	C₂³	1	1	yes	characteristic, complemented
438	C₂²⋊#3622	C₂³	1	1	yes	characteristic
439	C₂²⋊#3622	C₂³	1	1	yes	characteristic
440	#10587492	C₂³	1	1	yes	characteristic
441	#10587492	C₂³	1	1	yes	characteristic
442	#10587492	C₂³	1	1	yes	characteristic
443	#10587492	C₂³	1	1	yes	characteristic
444	#10587491	C₂³	1	1	yes	characteristic
445	#10587491	C₂³	1	1	yes	characteristic
446	#10587491	C₂³	1	1	yes	characteristic
447	#10587491	C₂³	1	1	yes	characteristic
448	#10587489	C₂³	1	1	yes	characteristic, complemented
449	#10587489	C₂³	1	1	yes	characteristic, complemented
450	#10587488	C₂³	1	1	yes	characteristic, complemented
451	#10587488	C₂³	1	1	yes	characteristic, complemented
452	#10587487	C₂³	1	1	yes	characteristic, complemented
453	#10587487	C₂³	1	1	yes	characteristic, complemented
454	#10587487	C₂³	1	1	yes	characteristic, complemented
455	#10587487	C₂³	1	1	yes	characteristic, complemented
456	#10587486	C₂³	1	1	yes	characteristic, complemented
457	#10587486	C₂³	1	1	yes	characteristic, complemented
458	#10587485	C₂³	1	1	yes	characteristic, complemented
459	#10587485	C₂³	1	1	yes	characteristic, complemented
460	#10587485	C₂³	1	1	yes	characteristic, complemented
461	#10587485	C₂³	1	1	yes	characteristic, complemented
462	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
463	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
464	#10587481	C₂³	1	1	yes	characteristic, complemented
465	#10587481	C₂³	1	1	yes	characteristic, complemented
466	#10587481	C₂³	1	1	yes	characteristic, complemented
467	#10587481	C₂³	1	1	yes	characteristic, complemented
468	#10587480	C₂³	1	1	yes	characteristic
469	#10587480	C₂³	1	1	yes	characteristic
470	#10587480	C₂³	1	1	yes	characteristic
471	#10587480	C₂³	1	1	yes	characteristic
472	#10587479	C₂³	1	1	yes	characteristic, complemented
473	#10587479	C₂³	1	1	yes	characteristic, complemented
474	#10587479	C₂³	1	1	yes	characteristic, complemented
475	#10587479	C₂³	1	1	yes	characteristic, complemented
476	#10587478	C₂³	1	1	yes	characteristic, complemented
477	#10587478	C₂³	1	1	yes	characteristic, complemented
478	#10587478	C₂³	1	1	yes	characteristic, complemented
479	#10587478	C₂³	1	1	yes	characteristic, complemented
480	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
481	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
482	#10587474	C₂³	1	1	yes	characteristic, complemented
483	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
484	C₂⁴×C₁₇	—	2	1	no	—
485	C₂³×D₁₇	—	2	8	no	—
486	C₂³×D₁₇	—	2	1	no	—
487	C₂³×D₁₇	—	2	1	no	—
488	C₂³×D₁₇	—	2	1	no	—
489	C₂³×D₁₇	—	2	1	no	—
490	C₂³×D₁₇	—	2	1	no	—
491	C₂³×D₁₇	—	8	2	no	—
492	C₂³×D₁₇	—	8	2	no	—
493	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₁₇	—	2	1	no	—
495	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₇	—	2	2	no	—
497	C₂×D₄×C₁₇	—	2	2	no	—
498	C₂×D₄×C₁₇	—	2	1	no	—
499	C₂×D₄×C₁₇	—	2	1	no	—
500	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₇	—	2	1	no	—
504	C₂²×C₄×C₁₇	—	2	1	no	—
505	C₂²×C₄×C₁₇	—	2	1	no	—
506	C₂²×C₄×C₁₇	—	2	1	no	—
507	C₂²×C₄×C₁₇	—	2	1	no	—
508	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₇	—	2	8	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	C₂²×Dic₁₇	—	2	1	no	—
517	C₂²×Dic₁₇	—	2	1	no	—
518	C₂²×Dic₁₇	—	2	1	no	—
519	C₂²×Dic₁₇	—	2	1	no	—
520	C₂²×Dic₁₇	—	2	1	no	—
521	C₂²×Dic₁₇	—	2	1	no	—
522	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
523	Q₈×D₁₇	—	2	2	no	—
524	Q₈×D₁₇	—	2	2	no	—
525	#63254	—	2	2	no	—
526	#63254	—	2	2	no	—
527	D₄×D₁₇	—	2	8	no	—
528	D₄×D₁₇	—	2	8	no	—
529	D₄×D₁₇	—	2	2	no	—
530	D₄×D₁₇	—	2	2	no	—
531	D₄×D₁₇	—	2	2	no	—
532	D₄×D₁₇	—	2	2	no	—
533	D₄×D₁₇	—	2	2	no	—
534	D₄×D₁₇	—	2	2	no	—
535	D₄×D₁₇	#41	1	4	yes	—
536	D₄×D₁₇	#41	1	4	yes	—
537	C₂×D₆₈	—	2	1	no	—
538	C₂×D₆₈	—	2	2	no	—
539	C₂×D₆₈	—	2	2	no	—
540	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
541	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₇	—	2	2	no	—
543	C₂×C₄×D₁₇	—	2	2	no	—
544	C₂×C₄×D₁₇	—	2	1	no	—
545	C₂×C₄×D₁₇	—	2	1	no	—
546	C₂×C₄×D₁₇	—	2	1	no	—
547	C₂×C₄×D₁₇	—	2	1	no	—
548	C₂×C₄×D₁₇	—	2	1	no	—
549	C₂×C₄×D₁₇	—	2	1	no	—
550	C₂×C₄×D₁₇	—	2	1	no	—
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	—	8	2	no	—
557	C₂×C₄×D₁₇	—	8	2	no	—
558	C₂×C₄×D₁₇	—	8	2	no	—
559	C₂×C₄×D₁₇	—	8	2	no	—
560	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
568	C₂×Dic₃₄	—	2	1	no	—
569	C₂×Dic₃₄	—	2	1	no	—
570	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
572	SD₁₆×C₁₇	—	2	2	no	—
573	SD₁₆×C₁₇	—	2	2	no	—
574	D₈×C₁₇	—	2	2	no	—
575	D₈×C₁₇	—	2	2	no	—
576	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
580	C₄⋊C₄×C₁₇	—	2	1	no	—
581	C₄⋊C₄×C₁₇	—	2	1	no	—
582	C₄⋊C₄×C₁₇	—	2	1	no	—
583	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
584	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
585	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
587	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
588	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
589	C₂²⋊C₄×C₁₇	—	2	1	no	—
590	C₂²⋊C₄×C₁₇	—	2	1	no	—
591	C₂²⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
601	C₄²×C₁₇	—	2	1	no	—
602	C₄²×C₁₇	—	2	1	no	—
603	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
604	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
605	C₂²⋊Dic₁₇	—	2	1	no	—
606	C₂²⋊Dic₁₇	—	2	1	no	—
607	C₂²⋊Dic₁₇	—	2	1	no	—
608	C₂²⋊Dic₁₇	—	2	1	no	—
609	C₂²⋊Dic₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
618	#63230	—	2	2	no	—
619	#63230	—	2	2	no	—
620	#63229	—	2	2	no	—
621	#63229	—	2	2	no	—
622	#63229	—	2	2	no	—
623	#63229	—	2	2	no	—
624	#63228	—	2	2	no	—
625	#63228	—	2	2	no	—
626	#63227	—	2	1	no	—
627	#63227	—	2	1	no	—
628	#63227	—	2	1	no	—
629	#63227	—	2	1	no	—
630	#63227	—	2	1	no	—
631	#63227	—	2	1	no	—
632	#63227	—	2	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	C₂×D₄	1	1	yes	characteristic
641	#63227	C₂×D₄	1	1	yes	characteristic
642	#63227	C₂×D₄	1	1	yes	characteristic
643	#63227	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₁₇	—	2	1	no	—
645	C₄⋊Dic₁₇	—	2	1	no	—
646	C₄⋊Dic₁₇	—	2	1	no	—
647	C₄⋊Dic₁₇	—	2	1	no	—
648	C₄⋊Dic₁₇	—	2	1	no	—
649	C₄⋊Dic₁₇	—	2	1	no	—
650	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
656	#63225	—	2	1	no	—
657	#63225	—	2	1	no	—
658	#63225	—	2	1	no	—
659	#63225	—	2	1	no	—
660	#63225	—	2	1	no	—
661	#63225	—	2	1	no	—
662	#63225	—	2	1	no	—
663	#63225	—	2	1	no	—
664	#63225	—	2	1	no	—
665	#63225	—	2	1	no	—
666	#63225	—	2	1	no	—
667	#63225	—	2	1	no	—
668	#63225	—	2	1	no	—
669	#63225	—	2	1	no	—
670	#63225	—	2	1	no	—
671	#63225	—	2	1	no	—
672	#63225	C₂×D₄	1	1	yes	characteristic
673	#63225	C₂×D₄	1	1	yes	characteristic
674	#63225	C₂×D₄	1	1	yes	characteristic
675	#63225	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₇	—	2	1	no	—
677	C₄×Dic₁₇	—	2	1	no	—
678	C₄×Dic₁₇	—	2	1	no	—
679	C₄×Dic₁₇	—	2	1	no	—
680	C₄×Dic₁₇	—	2	1	no	—
681	C₄×Dic₁₇	—	2	1	no	—
682	C₄×Dic₁₇	—	2	1	no	—
683	C₄×Dic₁₇	—	2	1	no	—
684	C₄×Dic₁₇	—	2	1	no	—
685	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
691	C₂×#3622	C₂⁴	1	1	yes	characteristic
692	C₂×#3622	C₂⁴	1	1	yes	characteristic
693	C₂×#3622	C₂⁴	1	1	yes	characteristic
694	C₂×#3622	C₂⁴	1	1	yes	characteristic
695	#63219	—	2	2	no	—
696	#63219	—	2	2	no	—
697	#63219	—	2	2	no	—
698	#63219	—	2	2	no	—
699	#63218	—	2	2	no	—
700	#63218	—	2	2	no	—
701	C₈×D₁₇	—	2	2	no	—
702	C₈×D₁₇	—	2	2	no	—
703	#60579	—	17	1	no	maximal, Sylow
704	C₂³×C₁₇	—	2	4	no	—
705	C₂³×C₁₇	—	2	1	no	—
706	C₂³×C₁₇	—	2	1	no	—
707	C₂³×C₁₇	—	2	1	no	—
708	C₂³×C₁₇	—	8	1	no	—
709	C₂³×C₁₇	—	8	1	no	—
710	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
711	C₂²×D₁₇	—	2	4	no	—
712	C₂²×D₁₇	—	2	4	no	—
713	C₂²×D₁₇	—	2	1	no	—
714	C₂²×D₁₇	—	2	1	no	—
715	C₂²×D₁₇	—	2	4	no	—
716	C₂²×D₁₇	—	2	2	no	—
717	C₂²×D₁₇	—	2	2	no	—
718	C₂²×D₁₇	—	2	4	no	—
719	C₂²×D₁₇	—	2	4	no	—
720	C₂²×D₁₇	—	4	1	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	—	8	16	no	—
730	C₂²×D₁₇	—	8	1	no	—
731	C₂²×D₁₇	—	8	1	no	—
732	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
733	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
734	Q₈×C₁₇	—	2	1	no	—
735	Q₈×C₁₇	—	2	1	no	—
736	Q₈×C₁₇	—	8	1	no	—
737	D₄×C₁₇	—	2	4	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	—	8	1	no	—
743	D₄×C₁₇	C₂×#41	1	2	yes	—
744	D₄×C₁₇	C₂×#41	1	2	yes	—
745	C₂×C₄×C₁₇	—	2	1	no	—
746	C₂×C₄×C₁₇	—	2	1	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	—	8	1	no	—
753	C₂×C₄×C₁₇	—	8	1	no	—
754	C₂×C₄×C₁₇	—	8	1	no	—
755	C₂×C₄×C₁₇	—	8	1	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	4	no	—
764	C₂²⋊D₁₇	—	2	4	no	—
765	C₂²⋊D₁₇	—	2	4	no	—
766	C₂²⋊D₁₇	—	2	4	no	—
767	C₂²⋊D₁₇	—	4	2	no	—
768	C₂²⋊D₁₇	—	4	2	no	—
769	C₂×Dic₁₇	—	2	2	no	—
770	C₂×Dic₁₇	—	2	1	no	—
771	C₂×Dic₁₇	—	2	1	no	—
772	C₂×Dic₁₇	—	2	1	no	—
773	C₂×Dic₁₇	—	2	1	no	—
774	C₂×Dic₁₇	—	2	1	no	—
775	C₂×Dic₁₇	—	2	1	no	—
776	C₂×Dic₁₇	—	4	2	no	—
777	C₂×Dic₁₇	—	8	1	no	—
778	C₂×Dic₁₇	—	8	1	no	—
779	C₂×Dic₁₇	—	8	1	no	—
780	C₂×Dic₁₇	—	8	1	no	—
781	C₂×Dic₁₇	—	8	1	no	—
782	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
783	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
785	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
786	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
787	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
788	D₆₈	—	2	4	no	—
789	D₆₈	—	2	1	no	—
790	D₆₈	—	2	1	no	—
791	D₆₈	C₂×#41	1	2	yes	—
792	D₆₈	C₂×#41	1	2	yes	—
793	C₄×D₁₇	—	2	2	no	—
794	C₄×D₁₇	—	2	2	no	—
795	C₄×D₁₇	—	2	2	no	—
796	C₄×D₁₇	—	2	1	no	—
797	C₄×D₁₇	—	2	1	no	—
798	C₄×D₁₇	—	2	2	no	—
799	C₄×D₁₇	—	4	1	no	—
800	C₄×D₁₇	—	4	1	no	—
801	C₄×D₁₇	—	4	2	no	—
802	C₄×D₁₇	—	4	2	no	—
803	C₄×D₁₇	—	4	2	no	—
804	C₄×D₁₇	—	8	1	no	—
805	C₄×D₁₇	—	8	1	no	—
806	C₄×D₁₇	—	8	1	no	—
807	C₄×D₁₇	—	8	1	no	—
808	C₄×D₁₇	—	8	1	no	—
809	C₄×D₁₇	—	8	1	no	—
810	C₄×D₁₇	—	8	1	no	—
811	C₄×D₁₇	—	8	1	no	—
812	C₄×D₁₇	—	8	1	no	—
813	C₄×D₁₇	C₂×#41	1	2	yes	—
814	C₄×D₁₇	C₂×#41	1	2	yes	—
815	Dic₃₄	—	2	1	no	—
816	Dic₃₄	—	2	1	no	—
817	Dic₃₄	—	2	1	no	—
818	Dic₃₄	—	2	1	no	—
819	Dic₃₄	—	4	2	no	—
820	Dic₃₄	—	8	1	no	—
821	C₈×C₁₇	—	2	1	no	—
822	C₈×C₁₇	—	2	1	no	—
823	C₈×C₁₇	—	2	1	no	—
824	C₈×C₁₇	—	2	1	no	—
825	#3622	—	2	1	no	—
826	#3622	—	2	1	no	—
827	#3622	—	2	1	no	—
828	#3622	—	2	1	no	—
829	#3495	—	17	1	no	—
830	C₂×#518	—	17	1	no	—
831	#3123	—	17	1	no	—
832	#3123	—	17	1	no	—
833	#3123	—	17	1	no	—
834	#3123	—	17	1	no	—
835	#3118	—	17	1	no	—
836	#3118	—	17	1	no	—
837	#3118	—	17	1	no	—
838	#3118	D₁₇	1	1	yes	characteristic, complemented
839	#3114	—	17	1	no	—
840	#3114	—	17	1	no	—
841	#3110	—	17	1	no	—
842	#3110	—	17	1	no	—
843	#3105	—	17	1	no	—
844	#3105	—	17	1	no	—
845	#3101	—	17	1	no	—
846	#3101	—	17	1	no	—
847	#3095	—	17	1	no	—
848	#3091	—	17	1	no	—
849	#3081	—	17	1	no	—
850	#3081	—	17	1	no	—
851	#3042	—	17	1	no	—
852	#3042	—	17	1	no	—
853	#3003	—	17	1	no	—
854	C₂×#450	—	17	1	no	—
855	#2949	—	17	1	no	—
856	#2949	—	17	1	no	—
857	#2946	—	17	1	no	—
858	#2946	—	17	1	no	—
859	#2924	—	17	1	no	—
860	C₂²×C₁₇	—	2	1	no	—
861	C₂²×C₁₇	—	2	1	no	—
862	C₂²×C₁₇	—	2	2	no	—
863	C₂²×C₁₇	—	2	2	no	—
864	C₂²×C₁₇	—	2	1	no	—
865	C₂²×C₁₇	—	4	1	no	—
866	C₂²×C₁₇	—	4	1	no	—
867	C₂²×C₁₇	—	4	1	no	—
868	C₂²×C₁₇	—	4	1	no	—
869	C₂²×C₁₇	—	4	1	no	—
870	C₂²×C₁₇	—	4	1	no	—
871	C₂²×C₁₇	—	4	1	no	—
872	C₂²×C₁₇	—	8	4	no	—
873	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
874	C₂×D₁₇	—	2	1	no	—
875	C₂×D₁₇	—	2	1	no	—
876	C₂×D₁₇	—	2	1	no	—
877	C₂×D₁₇	—	2	1	no	—
878	C₂×D₁₇	—	2	2	no	—
879	C₂×D₁₇	—	2	2	no	—
880	C₂×D₁₇	—	4	4	no	—
881	C₂×D₁₇	—	4	8	no	—
882	C₂×D₁₇	—	4	8	no	—
883	C₂×D₁₇	—	4	1	no	—
884	C₂×D₁₇	—	4	1	no	—
885	C₂×D₁₇	—	4	1	no	—
886	C₂×D₁₇	—	4	1	no	—
887	C₂×D₁₇	—	8	4	no	—
888	C₂×D₁₇	—	8	4	no	—
889	C₂×D₁₇	—	8	4	no	—
890	C₂×D₁₇	#525	1	2	yes	—
891	C₂×D₁₇	#577	1	2	yes	—
892	C₄×C₁₇	—	2	1	no	—
893	C₄×C₁₇	—	2	1	no	—
894	C₄×C₁₇	—	2	1	no	—
895	C₄×C₁₇	—	2	1	no	—
896	C₄×C₁₇	—	2	1	no	—
897	C₄×C₁₇	—	4	1	no	—
898	C₄×C₁₇	—	4	1	no	—
899	C₄×C₁₇	—	4	1	no	—
900	C₄×C₁₇	—	4	1	no	—
901	C₄×C₁₇	—	4	1	no	—
902	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
903	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
904	Dic₁₇	—	2	1	no	—
905	Dic₁₇	—	2	1	no	—
906	Dic₁₇	—	2	1	no	—
907	Dic₁₇	—	2	1	no	—
908	Dic₁₇	—	2	1	no	—
909	Dic₁₇	—	4	1	no	—
910	Dic₁₇	—	4	1	no	—
911	Dic₁₇	—	4	1	no	—
912	Dic₁₇	—	4	1	no	—
913	Dic₁₇	—	4	1	no	—
914	Dic₁₇	—	4	1	no	—
915	Dic₁₇	#525	1	2	yes	—
916	C₂³×D₄	—	17	1	no	—
917	C₂×AGL(1,ℤ/8)	—	17	1	no	—
918	C₂×AGL(1,ℤ/8)	—	17	1	no	—
919	C₂²×SD₁₆	—	17	1	no	—
920	C₂²×SD₁₆	—	17	1	no	—
921	#556	—	34	1	no	—
922	#554	—	34	1	no	—
923	#552	—	34	1	no	—
924	#552	—	34	1	no	—
925	#552	—	34	1	no	—
926	#552	—	34	1	no	—
927	#551	—	34	1	no	—
928	#551	—	34	1	no	—
929	#544	—	17	1	no	—
930	#542	—	17	1	no	—
931	#542	C₂×D₁₇	1	1	yes	characteristic, complemented
932	#541	—	17	1	no	—
933	#541	—	17	1	no	—
934	#536	—	17	1	no	—
935	#533	—	17	1	no	—
936	#533	—	17	1	no	—
937	#529	—	17	1	no	—
938	#529	—	17	1	no	—
939	#525	—	17	1	no	—
940	C₂×C₂²⋊Q₈	—	17	1	no	—
941	#520	—	17	1	no	—
942	#519	—	17	1	no	—
943	#518	—	17	1	no	—
944	#518	—	17	1	no	—
945	#518	—	17	1	no	—
946	#518	—	17	1	no	—
947	#518	—	17	1	no	—
948	#518	—	17	1	no	—
949	#518	—	17	1	no	—
950	#518	—	34	1	no	—
951	#518	—	34	1	no	—
952	#518	—	34	1	no	—
953	#518	—	34	1	no	—
954	#518	C₂×D₁₇	1	1	yes	characteristic
955	C₂×C₄×D₄	—	17	1	no	—
956	C₂×C₄×D₄	—	17	1	no	—
957	C₂×C₄×D₄	—	17	1	no	—
958	C₂×C₄×D₄	—	17	1	no	—
959	C₂×C₄×D₄	—	34	1	no	—
960	C₂×C₄×D₄	—	34	1	no	—
961	C₂×#117	—	17	1	no	—
962	C₂×#117	—	17	1	no	—
963	C₂²×C₂²⋊C₄	—	34	1	no	—
964	C₂²×C₂²⋊C₄	—	34	1	no	—
965	#485	—	17	1	no	—
966	#485	—	17	1	no	—
967	#485	—	17	1	no	—
968	#485	—	17	1	no	—
969	#485	—	17	1	no	—
970	#485	C₂×D₁₇	1	1	yes	characteristic, complemented
971	#484	—	17	1	no	—
972	#484	—	17	1	no	—
973	#484	—	17	1	no	—
974	#483	—	17	1	no	—
975	#483	—	17	1	no	—
976	#483	—	17	1	no	—
977	#482	—	17	1	no	—
978	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
979	#481	—	17	1	no	—
980	#480	—	17	1	no	—
981	#478	—	17	1	no	—
982	#478	—	17	1	no	—
983	#478	—	17	1	no	—
984	#478	—	17	1	no	—
985	#478	—	17	1	no	—
986	#478	—	17	1	no	—
987	#478	—	17	1	no	—
988	#478	—	17	1	no	—
989	#476	—	17	1	no	—
990	#476	—	17	1	no	—
991	#476	—	17	1	no	—
992	#476	C₂×D₁₇	1	1	yes	characteristic, complemented
993	#474	—	17	1	no	—
994	#474	—	17	1	no	—
995	#474	—	17	1	no	—
996	#474	C₂×D₁₇	1	1	yes	characteristic, complemented
997	#463	—	17	1	no	—
998	#463	—	17	1	no	—
999	#463	—	17	1	no	—
1000	#463	—	17	1	no	—
1001	#463	—	17	1	no	—
1002	#463	—	17	1	no	—
1003	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1004	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1005	#461	—	17	1	no	—
1006	#461	—	17	1	no	—
1007	#461	—	17	1	no	—
1008	#461	—	17	1	no	—
1009	#461	—	17	1	no	—
1010	#461	—	17	1	no	—
1011	#461	—	17	1	no	—
1012	#461	—	17	1	no	—
1013	#450	—	17	1	no	—
1014	#450	—	17	1	no	—
1015	#450	—	17	1	no	—
1016	#450	—	17	1	no	—
1017	#450	—	17	1	no	—
1018	#450	—	17	1	no	—
1019	#450	—	17	1	no	—
1020	#450	—	17	1	no	—
1021	#450	—	17	1	no	—
1022	#450	—	17	1	no	—
1023	#450	—	17	1	no	—
1024	#450	C₂×D₁₇	1	1	yes	characteristic
1025	#447	—	17	1	no	—
1026	#447	—	17	1	no	—
1027	#447	—	17	1	no	—
1028	#447	C₂×D₁₇	1	1	yes	characteristic
1029	#442	—	17	1	no	—
1030	#442	—	17	1	no	—
1031	#442	—	17	1	no	—
1032	#442	C₂×D₁₇	1	1	yes	characteristic, complemented
1033	#440	—	17	1	no	—
1034	#440	—	17	1	no	—
1035	#440	—	17	1	no	—
1036	#440	—	17	1	no	—
1037	#440	—	17	1	no	—
1038	#440	—	17	1	no	—
1039	#440	—	17	1	no	—
1040	#440	—	17	1	no	—
1041	#440	—	17	1	no	—
1042	#440	—	17	1	no	—
1043	#440	—	17	1	no	—
1044	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1045	C₄×SD₁₆	—	17	1	no	—
1046	C₄×SD₁₆	—	17	1	no	—
1047	C₄×SD₁₆	—	17	1	no	—
1048	C₄×SD₁₆	—	17	1	no	—
1049	C₄×SD₁₆	—	17	1	no	—
1050	C₄×SD₁₆	—	17	1	no	—
1051	C₄×SD₁₆	—	17	1	no	—
1052	C₄×SD₁₆	—	17	1	no	—
1053	C₄×SD₁₆	—	17	1	no	—
1054	C₄×SD₁₆	—	17	1	no	—
1055	C₄×SD₁₆	—	17	1	no	—
1056	C₄×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1057	C₄×D₈	—	17	1	no	—
1058	C₄×D₈	—	17	1	no	—
1059	C₄×D₈	—	17	1	no	—
1060	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
1061	#433	—	17	1	no	—
1062	#433	—	17	1	no	—
1063	#433	—	17	1	no	—
1064	#433	C₂×D₁₇	1	1	yes	characteristic, complemented
1065	#432	—	17	1	no	—
1066	#432	—	17	1	no	—
1067	#431	—	17	1	no	—
1068	#431	—	17	1	no	—
1069	#428	—	17	1	no	—
1070	#428	—	17	1	no	—
1071	#427	—	17	1	no	—
1072	#427	—	17	1	no	—
1073	#424	—	17	1	no	—
1074	#424	—	17	1	no	—
1075	#419	—	17	1	no	—
1076	#419	—	17	1	no	—
1077	#418	—	17	1	no	—
1078	#418	—	17	1	no	—
1079	#416	—	17	1	no	—
1080	#416	—	17	1	no	—
1081	C₂×#102	—	17	1	no	—
1082	C₂×#102	—	17	1	no	—
1083	#407	—	17	1	no	—
1084	C₂×C₂²⋊C₈	—	17	1	no	—
1085	#405	—	17	1	no	—
1086	#405	—	17	1	no	—
1087	C₂×C₁₇	—	4	1	no	—
1088	C₂×C₁₇	—	4	2	no	—
1089	C₂×C₁₇	—	4	2	no	—
1090	C₂×C₁₇	—	8	1	no	—
1091	C₂×C₁₇	C₂×#525	1	1	yes	characteristic
1092	C₂×C₁₇	C₂×#577	1	1	yes	characteristic
1093	C₂×C₁₇	#3585	1	1	yes	characteristic
1094	D₁₇	—	2	2	no	—
1095	D₁₇	—	2	2	no	—
1096	D₁₇	—	4	2	no	—
1097	D₁₇	—	4	2	no	—
1098	C₂⁵	—	34	1	no	—
1099	C₂×#41	—	17	1	no	—
1100	C₂²×Q₈	—	17	1	no	—
1101	C₂²×D₄	—	17	1	no	—
1102	C₂²×D₄	—	17	1	no	—
1103	C₂²×D₄	—	17	1	no	—
1104	C₂²×D₄	—	17	1	no	—
1105	C₂²×D₄	—	17	1	no	—
1106	C₂²×D₄	—	34	1	no	—
1107	C₂²×D₄	—	34	1	no	—
1108	C₂²×D₄	—	34	1	no	—
1109	C₂²×D₄	—	34	4	no	—
1110	C₂²×D₄	—	34	4	no	—
1111	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1112	C₂³×C₄	—	17	1	no	—
1113	C₂³×C₄	—	34	1	no	—
1114	C₂³×C₄	—	34	1	no	—
1115	C₂³×C₄	—	34	1	no	—
1116	C₂³×C₄	—	34	1	no	—
1117	AGL(1,ℤ/8)	—	34	4	no	—
1118	AGL(1,ℤ/8)	—	34	4	no	—
1119	C₂×SD₁₆	—	17	1	no	—
1120	C₂×SD₁₆	—	17	1	no	—
1121	C₂×SD₁₆	—	17	1	no	—
1122	C₂×SD₁₆	—	17	1	no	—
1123	C₂×SD₁₆	—	17	1	no	—
1124	C₂×SD₁₆	—	17	1	no	—
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	—	34	4	no	—
1130	C₂×SD₁₆	—	34	4	no	—
1131	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1132	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1133	C₂×D₈	—	17	1	no	—
1134	C₂×D₈	—	17	1	no	—
1135	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1136	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1137	C₂×M₁₆	—	17	1	no	—
1138	C₂×M₁₆	—	17	1	no	—
1139	C₂²×C₈	—	17	1	no	—
1140	C₂²×C₈	—	17	1	no	—
1141	C₄⋊Q₈	—	17	1	no	—
1142	C₄⋊Q₈	—	17	1	no	—
1143	C₄⋊Q₈	—	17	1	no	—
1144	C₄⋊Q₈	—	34	1	no	—
1145	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1146	#126	—	2	1	no	—
1147	#126	—	34	1	no	—
1148	#126	—	34	1	no	—
1149	#126	—	34	1	no	—
1150	#126	—	34	1	no	—
1151	#126	—	34	1	no	—
1152	#126	—	34	1	no	—
1153	#126	—	34	1	no	—
1154	#125	—	17	1	no	—
1155	#125	—	17	1	no	—
1156	#125	—	34	1	no	—
1157	#125	—	34	1	no	—
1158	#125	—	34	1	no	—
1159	#125	—	34	1	no	—
1160	#125	—	34	1	no	—
1161	#125	—	34	1	no	—
1162	#125	—	34	1	no	—
1163	#124	—	2	1	no	—
1164	#124	—	17	1	no	—
1165	#124	—	34	1	no	—
1166	#124	C₂²×D₁₇	1	1	yes	characteristic, complemented
1167	#123	—	2	1	no	—
1168	#123	—	34	1	no	—
1169	#123	—	34	1	no	—
1170	#123	—	34	1	no	—
1171	#123	—	34	1	no	—
1172	#123	—	34	1	no	—
1173	#123	—	34	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	17	1	no	—
1176	C₂²⋊Q₈	—	17	1	no	—
1177	C₂²⋊Q₈	—	17	1	no	—
1178	C₂²⋊Q₈	—	17	1	no	—
1179	C₂²⋊Q₈	—	17	1	no	—
1180	C₂²⋊Q₈	—	34	1	no	—
1181	C₂²⋊Q₈	—	34	1	no	—
1182	C₂²⋊Q₈	—	34	1	no	—
1183	C₂²⋊Q₈	—	34	1	no	—
1184	C₂²⋊Q₈	—	34	1	no	—
1185	C₂²⋊Q₈	—	34	1	no	—
1186	C₂²⋊Q₈	—	34	1	no	—
1187	C₂²⋊Q₈	—	34	1	no	—
1188	C₂²⋊Q₈	—	34	1	no	—
1189	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1190	#121	—	17	1	no	—
1191	#121	C₂²×D₁₇	1	1	yes	characteristic
1192	#120	—	34	1	no	—
1193	C₄×Q₈	—	17	1	no	—
1194	C₄×Q₈	—	17	1	no	—
1195	C₄×Q₈	—	17	1	no	—
1196	C₄×Q₈	—	17	1	no	—
1197	C₄×Q₈	—	17	1	no	—
1198	C₄×Q₈	—	34	1	no	—
1199	C₄×Q₈	—	34	1	no	—
1200	C₄×Q₈	—	34	1	no	—
1201	C₄×Q₈	—	34	1	no	—
1202	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	17	1	no	—
1206	C₄×D₄	—	17	1	no	—
1207	C₄×D₄	—	17	1	no	—
1208	C₄×D₄	—	17	1	no	—
1209	C₄×D₄	—	17	1	no	—
1210	C₄×D₄	—	17	1	no	—
1211	C₄×D₄	—	17	1	no	—
1212	C₄×D₄	—	17	1	no	—
1213	C₄×D₄	—	17	1	no	—
1214	C₄×D₄	—	17	1	no	—
1215	C₄×D₄	—	17	1	no	—
1216	C₄×D₄	—	17	1	no	—
1217	C₄×D₄	—	17	1	no	—
1218	C₄×D₄	—	34	1	no	—
1219	C₄×D₄	—	34	1	no	—
1220	C₄×D₄	—	34	1	no	—
1221	C₄×D₄	—	34	1	no	—
1222	C₄×D₄	—	34	1	no	—
1223	C₄×D₄	—	34	1	no	—
1224	C₄×D₄	—	34	1	no	—
1225	C₄×D₄	—	34	1	no	—
1226	C₄×D₄	—	34	1	no	—
1227	C₄×D₄	—	34	1	no	—
1228	C₄×D₄	—	34	1	no	—
1229	C₄×D₄	—	34	1	no	—
1230	C₄×D₄	—	34	1	no	—
1231	C₄×D₄	—	34	1	no	—
1232	C₄×D₄	—	34	1	no	—
1233	C₄×D₄	—	34	1	no	—
1234	C₄×D₄	—	34	1	no	—
1235	C₄×D₄	—	34	1	no	—
1236	C₄×D₄	—	34	1	no	—
1237	C₄×D₄	—	34	1	no	—
1238	C₄×D₄	—	34	1	no	—
1239	C₄×D₄	—	34	1	no	—
1240	C₄×D₄	—	34	1	no	—
1241	C₄×D₄	—	34	1	no	—
1242	C₄×D₄	—	34	1	no	—
1243	C₄×D₄	—	34	1	no	—
1244	C₄×D₄	—	34	1	no	—
1245	C₄×D₄	—	34	1	no	—
1246	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1247	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1248	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1249	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1250	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1251	#117	—	17	1	no	—
1252	#117	—	17	1	no	—
1253	#117	—	17	1	no	—
1254	#117	—	17	1	no	—
1255	#117	—	17	1	no	—
1256	#117	—	17	1	no	—
1257	#117	—	17	1	no	—
1258	#117	—	17	1	no	—
1259	#117	—	17	1	no	—
1260	#117	—	17	1	no	—
1261	#117	—	17	1	no	—
1262	#117	—	34	1	no	—
1263	#117	—	34	1	no	—
1264	#117	—	34	1	no	—
1265	#117	—	34	1	no	—
1266	#117	—	34	1	no	—
1267	#117	—	34	1	no	—
1268	#117	—	34	1	no	—
1269	#117	—	34	1	no	—
1270	#117	—	34	1	no	—
1271	#117	C₂²×D₁₇	1	1	yes	characteristic
1272	#117	C₂²×D₁₇	1	1	yes	characteristic
1273	C₂×C₄⋊C₄	—	17	1	no	—
1274	C₂×C₄⋊C₄	—	17	1	no	—
1275	C₂×C₄⋊C₄	—	17	1	no	—
1276	C₂×C₄⋊C₄	—	17	1	no	—
1277	C₂×C₄⋊C₄	—	17	1	no	—
1278	C₂×C₄⋊C₄	—	34	1	no	—
1279	C₂×C₄⋊C₄	—	34	1	no	—
1280	C₂×C₂²⋊C₄	—	2	1	no	—
1281	C₂×C₂²⋊C₄	—	2	1	no	—
1282	C₂×C₂²⋊C₄	—	17	1	no	—
1283	C₂×C₂²⋊C₄	—	17	1	no	—
1284	C₂×C₂²⋊C₄	—	34	1	no	—
1285	C₂×C₂²⋊C₄	—	34	1	no	—
1286	C₂×C₂²⋊C₄	—	34	1	no	—
1287	C₂×C₂²⋊C₄	—	34	1	no	—
1288	C₂×C₂²⋊C₄	—	34	1	no	—
1289	C₂×C₂²⋊C₄	—	34	1	no	—
1290	C₂×C₂²⋊C₄	—	34	1	no	—
1291	C₂×C₂²⋊C₄	—	34	1	no	—
1292	C₂×C₂²⋊C₄	—	34	1	no	—
1293	C₂×C₂²⋊C₄	—	34	1	no	—
1294	C₂×C₂²⋊C₄	—	34	1	no	—
1295	C₂×C₂²⋊C₄	—	34	1	no	—
1296	C₂×C₂²⋊C₄	—	34	1	no	—
1297	C₂×C₂²⋊C₄	—	34	1	no	—
1298	C₂×C₂²⋊C₄	—	34	1	no	—
1299	C₂×C₂²⋊C₄	—	34	1	no	—
1300	C₂×C₂²⋊C₄	—	34	1	no	—
1301	C₂×C₂²⋊C₄	—	34	1	no	—
1302	C₂×C₂²⋊C₄	—	34	1	no	—
1303	C₂×C₂²⋊C₄	—	34	1	no	—
1304	C₂×C₄²	—	17	1	no	—
1305	C₂×C₄²	—	17	1	no	—
1306	C₂×C₄²	—	34	1	no	—
1307	#107	—	17	1	no	—
1308	#107	—	17	1	no	—
1309	#107	—	17	1	no	—
1310	#107	—	17	1	no	—
1311	#107	—	17	1	no	—
1312	#107	—	17	1	no	—
1313	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1314	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1315	#106	—	17	1	no	—
1316	#106	—	17	1	no	—
1317	#106	—	17	1	no	—
1318	#106	—	17	1	no	—
1319	#106	—	17	1	no	—
1320	#106	—	17	1	no	—
1321	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1322	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1323	C₄⋊C₈	—	17	1	no	—
1324	C₄⋊C₈	—	17	1	no	—
1325	C₄⋊C₈	—	17	1	no	—
1326	C₄⋊C₈	—	17	1	no	—
1327	C₄⋊C₈	—	17	1	no	—
1328	C₄⋊C₈	—	17	1	no	—
1329	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1330	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1331	#103	—	17	1	no	—
1332	#103	—	17	1	no	—
1333	#103	—	17	1	no	—
1334	#103	—	17	1	no	—
1335	#103	—	17	1	no	—
1336	#103	—	17	1	no	—
1337	#103	—	17	1	no	—
1338	#103	—	17	1	no	—
1339	#103	—	17	1	no	—
1340	#103	—	17	1	no	—
1341	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1342	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1343	#102	—	17	1	no	—
1344	#102	—	17	1	no	—
1345	#102	—	17	1	no	—
1346	#102	—	17	1	no	—
1347	#102	—	17	1	no	—
1348	#102	—	17	1	no	—
1349	#102	—	17	1	no	—
1350	#102	—	17	1	no	—
1351	#102	—	17	1	no	—
1352	#102	—	17	1	no	—
1353	#102	—	17	1	no	—
1354	#102	—	17	1	no	—
1355	#102	—	17	1	no	—
1356	#102	—	17	1	no	—
1357	#102	C₂²×D₁₇	1	1	yes	characteristic
1358	#102	C₂²×D₁₇	1	1	yes	characteristic
1359	#102	C₂²×D₁₇	1	1	yes	characteristic
1360	#102	C₂²×D₁₇	1	1	yes	characteristic
1361	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1362	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1363	C₂²⋊C₈	—	17	1	no	—
1364	C₂²⋊C₈	—	17	1	no	—
1365	C₂²⋊C₈	—	17	1	no	—
1366	C₂²⋊C₈	—	17	1	no	—
1367	C₂²⋊C₈	—	17	1	no	—
1368	C₂²⋊C₈	—	17	1	no	—
1369	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1370	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1371	#97	—	17	1	no	—
1372	#97	—	17	1	no	—
1373	#97	—	17	1	no	—
1374	#97	C₂²×D₁₇	1	1	yes	characteristic, complemented
1375	C₄×C₈	—	17	1	no	—
1376	C₄×C₈	—	17	1	no	—
1377	C₄×C₈	—	17	1	no	—
1378	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1379	C₁₇	#60579	1	1	yes	characteristic, complemented, Sylow
1380	C₂⁴	—	2	1	no	—
1381	C₂⁴	—	17	1	no	—
1382	C₂⁴	—	34	1	no	—
1383	C₂⁴	—	34	1	no	—
1384	C₂⁴	—	34	1	no	—
1385	C₂⁴	—	34	1	no	—
1386	C₂⁴	—	34	8	no	—
1387	C₂⁴	—	34	1	no	—
1388	C₂⁴	—	136	2	no	—
1389	C₂⁴	—	136	2	no	—
1390	#41	—	34	2	no	—
1391	#41	—	34	2	no	—
1392	C₂×Q₈	—	2	1	no	—
1393	C₂×Q₈	—	17	1	no	—
1394	C₂×Q₈	—	17	1	no	—
1395	C₂×Q₈	—	34	1	no	—
1396	C₂×Q₈	—	34	1	no	—
1397	C₂×Q₈	—	34	2	no	—
1398	C₂×Q₈	—	34	2	no	—
1399	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1400	C₂×D₄	—	2	2	no	—
1401	C₂×D₄	—	2	2	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	17	4	no	—
1405	C₂×D₄	—	17	4	no	—
1406	C₂×D₄	—	17	1	no	—
1407	C₂×D₄	—	17	1	no	—
1408	C₂×D₄	—	34	2	no	—
1409	C₂×D₄	—	34	2	no	—
1410	C₂×D₄	—	34	2	no	—
1411	C₂×D₄	—	34	2	no	—
1412	C₂×D₄	—	34	1	no	—
1413	C₂×D₄	—	34	1	no	—
1414	C₂×D₄	—	34	1	no	—
1415	C₂×D₄	—	34	1	no	—
1416	C₂×D₄	—	34	2	no	—
1417	C₂×D₄	—	34	2	no	—
1418	C₂×D₄	—	34	8	no	—
1419	C₂×D₄	—	34	8	no	—
1420	C₂×D₄	—	34	8	no	—
1421	C₂×D₄	—	34	2	no	—
1422	C₂×D₄	—	34	2	no	—
1423	C₂×D₄	—	34	1	no	—
1424	C₂×D₄	—	34	1	no	—
1425	C₂×D₄	—	34	1	no	—
1426	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1428	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	17	1	no	—
1435	C₂²×C₄	—	17	1	no	—
1436	C₂²×C₄	—	17	1	no	—
1437	C₂²×C₄	—	17	1	no	—
1438	C₂²×C₄	—	17	1	no	—
1439	C₂²×C₄	—	17	1	no	—
1440	C₂²×C₄	—	17	1	no	—
1441	C₂²×C₄	—	17	1	no	—
1442	C₂²×C₄	—	17	1	no	—
1443	C₂²×C₄	—	34	2	no	—
1444	C₂²×C₄	—	34	2	no	—
1445	C₂²×C₄	—	34	1	no	—
1446	C₂²×C₄	—	34	1	no	—
1447	C₂²×C₄	—	34	1	no	—
1448	C₂²×C₄	—	34	1	no	—
1449	C₂²×C₄	—	34	1	no	—
1450	C₂²×C₄	—	34	1	no	—
1451	C₂²×C₄	—	34	1	no	—
1452	C₂²×C₄	—	34	1	no	—
1453	C₂²×C₄	—	34	1	no	—
1454	C₂²×C₄	—	34	1	no	—
1455	C₂²×C₄	—	34	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	—	136	2	no	—
1464	C₂²×C₄	—	136	2	no	—
1465	C₂²×C₄	—	136	2	no	—
1466	C₂²×C₄	—	136	2	no	—
1467	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	2	2	no	—
1470	SD₁₆	—	34	2	no	—
1471	SD₁₆	—	34	2	no	—
1472	SD₁₆	—	34	2	no	—
1473	SD₁₆	—	34	2	no	—
1474	SD₁₆	—	34	2	no	—
1475	SD₁₆	—	34	2	no	—
1476	SD₁₆	—	34	2	no	—
1477	SD₁₆	—	34	2	no	—
1478	SD₁₆	—	34	2	no	—
1479	SD₁₆	—	34	2	no	—
1480	D₈	—	2	2	no	—
1481	D₈	—	2	2	no	—
1482	D₈	—	34	2	no	—
1483	D₈	—	34	2	no	—
1484	M₁₆	—	34	2	no	—
1485	M₁₆	—	34	2	no	—
1486	C₂×C₈	—	17	1	no	—
1487	C₂×C₈	—	17	1	no	—
1488	C₂×C₈	—	17	1	no	—
1489	C₂×C₈	—	17	1	no	—
1490	C₂×C₈	—	34	2	no	—
1491	C₂×C₈	—	34	2	no	—
1492	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1493	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1494	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	17	1	no	—
1500	C₄⋊C₄	—	17	1	no	—
1501	C₄⋊C₄	—	17	1	no	—
1502	C₄⋊C₄	—	17	1	no	—
1503	C₄⋊C₄	—	17	1	no	—
1504	C₄⋊C₄	—	17	1	no	—
1505	C₄⋊C₄	—	17	1	no	—
1506	C₄⋊C₄	—	17	1	no	—
1507	C₄⋊C₄	—	17	1	no	—
1508	C₄⋊C₄	—	17	1	no	—
1509	C₄⋊C₄	—	34	1	no	—
1510	C₄⋊C₄	—	34	1	no	—
1511	C₄⋊C₄	—	34	1	no	—
1512	C₄⋊C₄	—	34	1	no	—
1513	C₄⋊C₄	—	34	1	no	—
1514	C₄⋊C₄	—	34	1	no	—
1515	C₄⋊C₄	—	34	1	no	—
1516	C₄⋊C₄	—	34	1	no	—
1517	C₄⋊C₄	—	34	1	no	—
1518	C₄⋊C₄	—	34	1	no	—
1519	C₄⋊C₄	—	34	1	no	—
1520	C₄⋊C₄	—	34	1	no	—
1521	C₄⋊C₄	—	34	1	no	—
1522	C₄⋊C₄	—	34	1	no	—
1523	C₄⋊C₄	—	34	1	no	—
1524	C₄⋊C₄	—	34	1	no	—
1525	C₄⋊C₄	—	34	1	no	—
1526	C₄⋊C₄	—	34	1	no	—
1527	C₄⋊C₄	—	34	1	no	—
1528	C₄⋊C₄	—	34	1	no	—
1529	C₄⋊C₄	—	34	1	no	—
1530	C₄⋊C₄	—	34	1	no	—
1531	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1532	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1533	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1534	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1535	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1536	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	17	1	no	—
1548	C₂²⋊C₄	—	17	1	no	—
1549	C₂²⋊C₄	—	17	1	no	—
1550	C₂²⋊C₄	—	17	1	no	—
1551	C₂²⋊C₄	—	17	1	no	—
1552	C₂²⋊C₄	—	17	1	no	—
1553	C₂²⋊C₄	—	34	1	no	—
1554	C₂²⋊C₄	—	34	1	no	—
1555	C₂²⋊C₄	—	34	1	no	—
1556	C₂²⋊C₄	—	34	1	no	—
1557	C₂²⋊C₄	—	34	1	no	—
1558	C₂²⋊C₄	—	34	1	no	—
1559	C₂²⋊C₄	—	34	1	no	—
1560	C₂²⋊C₄	—	34	1	no	—
1561	C₂²⋊C₄	—	34	1	no	—
1562	C₂²⋊C₄	—	34	1	no	—
1563	C₂²⋊C₄	—	34	1	no	—
1564	C₂²⋊C₄	—	34	1	no	—
1565	C₂²⋊C₄	—	34	1	no	—
1566	C₂²⋊C₄	—	34	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	D₄×D₁₇	1	1	yes	characteristic
1579	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1580	C₄²	—	2	1	no	—
1581	C₄²	—	2	1	no	—
1582	C₄²	—	17	1	no	—
1583	C₄²	—	17	1	no	—
1584	C₄²	—	17	1	no	—
1585	C₄²	—	17	1	no	—
1586	C₄²	—	17	1	no	—
1587	C₄²	—	17	1	no	—
1588	C₄²	—	34	1	no	—
1589	C₄²	—	34	1	no	—
1590	C₄²	—	34	1	no	—
1591	C₄²	—	34	1	no	—
1592	C₄²	—	34	1	no	—
1593	C₄²	—	34	1	no	—
1594	C₄²	—	34	1	no	—
1595	C₄²	—	34	1	no	—
1596	C₄²	—	34	1	no	—
1597	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1598	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1599	C₂³	—	2	4	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	17	1	no	—
1606	C₂³	—	17	1	no	—
1607	C₂³	—	34	2	no	—
1608	C₂³	—	34	2	no	—
1609	C₂³	—	34	4	no	—
1610	C₂³	—	34	4	no	—
1611	C₂³	—	34	4	no	—
1612	C₂³	—	34	4	no	—
1613	C₂³	—	34	4	no	—
1614	C₂³	—	34	1	no	—
1615	C₂³	—	34	1	no	—
1616	C₂³	—	68	1	no	—
1617	C₂³	—	68	2	no	—
1618	C₂³	—	68	2	no	—
1619	C₂³	—	68	2	no	—
1620	C₂³	—	68	2	no	—
1621	C₂³	—	136	1	no	—
1622	C₂³	—	136	1	no	—
1623	C₂³	—	136	1	no	—
1624	C₂³	—	136	1	no	—
1625	C₂³	—	136	1	no	—
1626	C₂³	—	136	1	no	—
1627	C₂³	—	136	16	no	—
1628	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	8	1	no	—
1632	Q₈	—	34	1	no	—
1633	Q₈	—	34	1	no	—
1634	Q₈	—	34	1	no	—
1635	Q₈	—	34	1	no	—
1636	Q₈	—	68	2	no	—
1637	Q₈	—	136	1	no	—
1638	D₄	—	2	4	no	—
1639	D₄	—	2	1	no	—
1640	D₄	—	2	1	no	—
1641	D₄	—	2	1	no	—
1642	D₄	—	2	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	17	2	no	—
1645	D₄	—	17	2	no	—
1646	D₄	—	34	4	no	—
1647	D₄	—	34	4	no	—
1648	D₄	—	34	4	no	—
1649	D₄	—	34	4	no	—
1650	D₄	—	34	4	no	—
1651	D₄	—	34	1	no	—
1652	D₄	—	34	1	no	—
1653	D₄	—	68	2	no	—
1654	D₄	—	68	2	no	—
1655	D₄	#41×D₁₇	1	2	yes	—
1656	D₄	#41×D₁₇	1	2	yes	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	17	1	no	—
1670	C₂×C₄	—	17	2	no	—
1671	C₂×C₄	—	17	2	no	—
1672	C₂×C₄	—	17	1	no	—
1673	C₂×C₄	—	17	1	no	—
1674	C₂×C₄	—	17	1	no	—
1675	C₂×C₄	—	17	1	no	—
1676	C₂×C₄	—	17	1	no	—
1677	C₂×C₄	—	34	2	no	—
1678	C₂×C₄	—	34	2	no	—
1679	C₂×C₄	—	34	2	no	—
1680	C₂×C₄	—	34	2	no	—
1681	C₂×C₄	—	34	2	no	—
1682	C₂×C₄	—	34	1	no	—
1683	C₂×C₄	—	34	1	no	—
1684	C₂×C₄	—	34	1	no	—
1685	C₂×C₄	—	34	1	no	—
1686	C₂×C₄	—	34	1	no	—
1687	C₂×C₄	—	34	1	no	—
1688	C₂×C₄	—	34	1	no	—
1689	C₂×C₄	—	34	1	no	—
1690	C₂×C₄	—	68	1	no	—
1691	C₂×C₄	—	68	1	no	—
1692	C₂×C₄	—	68	2	no	—
1693	C₂×C₄	—	68	2	no	—
1694	C₂×C₄	—	68	2	no	—
1695	C₂×C₄	—	68	2	no	—
1696	C₂×C₄	—	136	1	no	—
1697	C₂×C₄	—	136	1	no	—
1698	C₂×C₄	—	136	1	no	—
1699	C₂×C₄	—	136	1	no	—
1700	C₂×C₄	—	136	1	no	—
1701	C₂×C₄	—	136	1	no	—
1702	C₂×C₄	—	136	1	no	—
1703	C₂×C₄	—	136	1	no	—
1704	C₂×C₄	—	136	1	no	—
1705	C₂×C₄	—	136	1	no	—
1706	C₂×C₄	—	136	1	no	—
1707	C₂×C₄	—	136	1	no	—
1708	C₂×C₄	—	136	1	no	—
1709	C₂×C₄	—	136	1	no	—
1710	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1711	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1712	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1713	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1714	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1715	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	2	1	no	—
1720	C₈	—	34	1	no	—
1721	C₈	—	34	1	no	—
1722	C₈	—	34	1	no	—
1723	C₈	—	34	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	2	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	8	4	no	—
1737	C₂²	—	17	2	no	—
1738	C₂²	—	17	2	no	—
1739	C₂²	—	34	1	no	—
1740	C₂²	—	34	1	no	—
1741	C₂²	—	34	1	no	—
1742	C₂²	—	34	1	no	—
1743	C₂²	—	34	2	no	—
1744	C₂²	—	34	2	no	—
1745	C₂²	—	68	4	no	—
1746	C₂²	—	68	8	no	—
1747	C₂²	—	68	8	no	—
1748	C₂²	—	68	1	no	—
1749	C₂²	—	68	1	no	—
1750	C₂²	—	68	1	no	—
1751	C₂²	—	68	1	no	—
1752	C₂²	—	136	4	no	—
1753	C₂²	—	136	4	no	—
1754	C₂²	—	136	4	no	—
1755	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	17	2	no	—
1767	C₄	—	34	1	no	—
1768	C₄	—	34	1	no	—
1769	C₄	—	34	1	no	—
1770	C₄	—	34	1	no	—
1771	C₄	—	34	1	no	—
1772	C₄	—	68	1	no	—
1773	C₄	—	68	1	no	—
1774	C₄	—	68	1	no	—
1775	C₄	—	68	1	no	—
1776	C₄	—	68	1	no	—
1777	C₄	—	68	1	no	—
1778	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1779	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1780	C₂	—	4	1	no	—
1781	C₂	—	4	2	no	—
1782	C₂	—	4	2	no	—
1783	C₂	—	8	1	no	—
1784	C₂	—	34	2	no	—
1785	C₂	—	34	2	no	—
1786	C₂	—	68	2	no	—
1787	C₂	—	68	2	no	—
1788	C₂	D₁₇×#525	1	1	yes	characteristic
1789	C₂	D₁₇×#577	1	1	yes	characteristic
1790	C₂	#14543559	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×#3118	C₂
socle	C₂²×C₁₇	C₂³×D₄
prime radical	#14538008	C₂
hypercenter	#3118	D₁₇
hypocenter	C₁₇	#60579
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #14542534	C₂	semidirect
2. D₁₇×#518	C₂	semidirect
3. #14539037	C₂	semidirect
4. #14539036	C₂	semidirect
5. #14539032	C₂	semidirect
6. #14539030	C₂	semidirect
7. #14538963	C₂	semidirect
8. #14538962	C₂	semidirect
9. #14538961	C₂	semidirect
10. #14538921	C₂	semidirect
11. #14538920	C₂	semidirect
12. #14538885	C₂	semidirect
13. #14538881	C₂	semidirect
14. #14538830	C₂	semidirect
15. #14538829	C₂	semidirect
16. #14538794	C₂	semidirect
17. #14538790	C₂	semidirect
18. #14538731	C₂	semidirect
19. #14538696	C₂	semidirect
20. #14538610	C₂	semidirect
21. #14538608	C₂	semidirect
22. #14538294	C₂	semidirect
23. #14538294	C₂	semidirect
25. D₁₇×#450	C₂	semidirect
26. #14537640	C₂	semidirect
27. #14537638	C₂	semidirect
28. #14537613	C₂	semidirect
29. #14537609	C₂	semidirect
30. #14537440	C₂	semidirect
31. C₁₇×#3118	C₂	semidirect
45. #11763436	C₂²	semidirect
46. #11763426	C₂²	semidirect
47. #11763421	C₂²	semidirect
48. #11763419	C₂²	semidirect
49. #11763379	C₂²	semidirect
50. #11763364	C₂²	semidirect
51. #11763363	C₂²	semidirect
52. #11763341	C₂²	semidirect
53. #11763338	C₂²	semidirect
56. #11763288	C₂²	semidirect
57. #11763285	C₂²	semidirect
79. #11763151	C₂²	semidirect
80. #11763151	C₂²	semidirect
81. #11763150	C₂²	semidirect
82. #11763150	C₂²	semidirect
83. #11763147	C₂²	semidirect
84. #11763146	C₂²	semidirect
85. #11763146	C₂²	semidirect
86. #11763143	C₂²	semidirect
87. #11763141	C₂²	semidirect
88. #11763141	C₂²	semidirect
89. #11763138	C₂²	semidirect
90. #11763130	C₂²	semidirect
91. #11763126	C₂²	semidirect
92. #11763121	C₂²	semidirect
93. #11763112	C₂²	semidirect
94. #11763111	C₂²	semidirect
95. #11763110	C₂²	semidirect
96. #11763110	C₂²	semidirect
97. #11763109	C₂²	semidirect
98. #11763109	C₂²	semidirect
99. #11763108	C₂²	semidirect
100. #11763107	C₂²	semidirect
101. #11763098	C₂²	semidirect
102. #11763097	C₂²	semidirect
103. #11763096	C₂²	semidirect
104. #11763088	C₂²	semidirect
105. #11763087	C₂²	semidirect
106. #11763086	C₂²	semidirect
107. #11763023	C₂²	semidirect
108. #11763023	C₂²	semidirect
109. #11763022	C₂²	semidirect
110. #11763022	C₂²	semidirect
111. #11763021	C₂²	semidirect
112. #11763021	C₂²	semidirect
113. #11763015	C₂²	semidirect
114. #11763015	C₂²	semidirect
115. #11763014	C₂²	semidirect
116. #11763014	C₂²	semidirect
117. #11763013	C₂²	semidirect
118. #11763013	C₂²	semidirect
119. #11763012	C₂²	semidirect
120. #11763012	C₂²	semidirect
135. #11762921	C₂²	semidirect
136. #11762919	C₂²	semidirect
137. #11762918	C₂²	semidirect
138. #11762912	C₂²	semidirect
139. #11762911	C₂²	semidirect
140. #11762911	C₂²	semidirect
141. #11762910	C₂²	semidirect
142. #11762909	C₂²	semidirect
143. #11762909	C₂²	semidirect
144. #11762908	C₂²	semidirect
145. #11762908	C₂²	semidirect
146. #11762907	C₂²	semidirect
147. #11762906	C₂²	semidirect
148. #11762906	C₂²	semidirect
149. #11762900	C₂²	semidirect
150. #11762900	C₂²	semidirect
151. C₄×#63219	C₂²	semidirect
152. C₄×#63219	C₂²	semidirect
153. SD₁₆×Dic₁₇	C₂²	semidirect
154. C₄×#63230	C₂²	semidirect
155. #11762896	C₂²	semidirect
156. #11762896	C₂²	semidirect
157. C₄×#63229	C₂²	semidirect
158. C₄×#63229	C₂²	semidirect
159. #11762894	C₂²	semidirect
160. D₈×Dic₁₇	C₂²	semidirect
161. C₄×#63228	C₂²	semidirect
162. #11762889	C₂²	semidirect
163. #11762870	C₂²	semidirect
164. #11762867	C₂²	semidirect
165. #11762867	C₂²	semidirect
166. #11762865	C₂²	semidirect
167. #11762864	C₂²	semidirect
168. #11762861	C₂²	semidirect
169. #11762860	C₂²	semidirect
170. #11762850	C₂²	semidirect
171. #11762848	C₂²	semidirect
172. #11762846	C₂²	semidirect
173. #11762844	C₂²	semidirect
174. #11762834	C₂²	semidirect
175. #11762834	C₂²	semidirect
176. #11762816	C₂²	semidirect
177. #11762816	C₂²	semidirect
180. #11762802	C₂²	semidirect
181. #11762802	C₂²	semidirect
186. #11762766	C₂²	semidirect
187. #11762763	C₂²	semidirect
188. C₁₇×#542	C₂²	semidirect
190. C₁₇×#485	C₂²	semidirect
191. C₁₇×#482	C₂²	semidirect
192. C₁₇×#476	C₂²	semidirect
193. C₁₇×#474	C₂²	semidirect
194. C₁₇×#463	C₂²	semidirect
195. C₁₇×#463	C₂²	semidirect
198. C₁₇×#442	C₂²	semidirect
199. C₁₇×#440	C₂²	semidirect
200. C₄×SD₁₆×C₁₇	C₂²	semidirect
201. C₄×D₈×C₁₇	C₂²	semidirect
202. C₁₇×#433	C₂²	semidirect
226. C₁₇×C₄⋊Q₈	C₂³	semidirect
229. C₁₇×#124	C₂³	semidirect
234. C₄×Q₈×C₁₇	C₂³	semidirect
241. C₄×D₄×C₁₇	C₂³	semidirect
252. Q₈×Dic₁₇	C₂³	semidirect
254. #10587630	C₂³	semidirect
260. #10587622	C₂³	semidirect
269. D₄×Dic₁₇	C₂³	semidirect
334. #10587576	C₂³	semidirect
340. #10587574	C₂³	semidirect
342. #10587573	C₂³	semidirect
343. #10587573	C₂³	semidirect
406. #10587556	C₂³	semidirect
407. #10587555	C₂³	semidirect
410. C₄×Dic₃₄	C₂³	semidirect
411. C₄×Dic₃₄	C₂³	semidirect
412. C₁₇×#107	C₂³	semidirect
413. C₁₇×#107	C₂³	semidirect
414. C₁₇×#106	C₂³	semidirect
415. C₁₇×#106	C₂³	semidirect
416. C₁₇×C₄⋊C₈	C₂³	semidirect
417. C₁₇×C₄⋊C₈	C₂³	semidirect
418. C₁₇×#103	C₂³	semidirect
419. C₁₇×#103	C₂³	semidirect
424. C₁₇×#102	C₂³	semidirect
425. C₁₇×#102	C₂³	semidirect
428. C₁₇×#97	C₂³	semidirect
429. C₄×C₈×C₁₇	C₂³	semidirect
430. #10587506	C₂³	semidirect
431. #10587506	C₂³	semidirect
436. #10587503	C₂³	semidirect
437. #10587503	C₂³	semidirect
448. #10587489	C₂³	semidirect
449. #10587489	C₂³	semidirect
450. #10587488	C₂³	semidirect
451. #10587488	C₂³	semidirect
452. #10587487	C₂³	semidirect
453. #10587487	C₂³	semidirect
454. #10587487	C₂³	semidirect
455. #10587487	C₂³	semidirect
456. #10587486	C₂³	semidirect
457. #10587486	C₂³	semidirect
458. #10587485	C₂³	semidirect
459. #10587485	C₂³	semidirect
460. #10587485	C₂³	semidirect
461. #10587485	C₂³	semidirect
462. C₈×Dic₁₇	C₂³	semidirect
463. C₈×Dic₁₇	C₂³	semidirect
464. #10587481	C₂³	semidirect
465. #10587481	C₂³	semidirect
466. #10587481	C₂³	semidirect
467. #10587481	C₂³	semidirect
472. #10587479	C₂³	semidirect
473. #10587479	C₂³	semidirect
474. #10587479	C₂³	semidirect
475. #10587479	C₂³	semidirect
476. #10587478	C₂³	semidirect
477. #10587478	C₂³	semidirect
478. #10587478	C₂³	semidirect
479. #10587478	C₂³	semidirect
480. C₄⋊#3622	C₂³	semidirect
481. C₄⋊#3622	C₂³	semidirect
482. #10587474	C₂³	semidirect
483. C₄×#3622	C₂³	semidirect
838. #3118	D₁₇	semidirect
931. #542	C₂×D₁₇	semidirect
970. #485	C₂×D₁₇	semidirect
978. #482	C₂×D₁₇	semidirect
992. #476	C₂×D₁₇	semidirect
996. #474	C₂×D₁₇	semidirect
1003. #463	C₂×D₁₇	semidirect
1004. #463	C₂×D₁₇	semidirect
1032. #442	C₂×D₁₇	semidirect
1044. #440	C₂×D₁₇	semidirect
1056. C₄×SD₁₆	C₂×D₁₇	semidirect
1060. C₄×D₈	C₂×D₁₇	semidirect
1064. #433	C₂×D₁₇	semidirect
1145. C₄⋊Q₈	C₂²×D₁₇	semidirect
1166. #124	C₂²×D₁₇	semidirect
1202. C₄×Q₈	C₂²×D₁₇	semidirect
1250. C₄×D₄	C₂²×D₁₇	semidirect
1313. #107	C₂²×D₁₇	semidirect
1314. #107	C₂²×D₁₇	semidirect
1321. #106	C₂²×D₁₇	semidirect
1322. #106	C₂²×D₁₇	semidirect
1329. C₄⋊C₈	C₂²×D₁₇	semidirect
1330. C₄⋊C₈	C₂²×D₁₇	semidirect
1341. #103	C₂²×D₁₇	semidirect
1342. #103	C₂²×D₁₇	semidirect
1361. #102	C₂²×D₁₇	semidirect
1362. #102	C₂²×D₁₇	semidirect
1374. #97	C₂²×D₁₇	semidirect
1378. C₄×C₈	C₂²×D₁₇	semidirect
1379. C₁₇	#60579	semidirect

Maximal subgroups

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

subgroup	index
#14542534	2
D₁₇×#518	2
#14539037	2
#14539036	2
#14539032	2
#14539030	2
#14538963	2
#14538962	2
#14538961	2
#14538921	2
#14538920	2
#14538885	2
#14538881	2
#14538830	2
#14538829	2
#14538794	2
#14538790	2
#14538731	2
#14538696	2
#14538610	2
#14538608	2
#14538294	2
#14538008	2
D₁₇×#450	2
#14537640	2
#14537638	2
#14537613	2
#14537609	2
#14537440	2
C₁₇×#3118	2
#60579	17