Subgroups — #17911513

Order 4352.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₇×#555	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542273	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541074	C₂	1	1	yes	maximal, characteristic, complemented
4	#14541071	C₂	1	1	yes	maximal, characteristic, complemented
5	#14541024	C₂	1	1	yes	maximal, characteristic, complemented
6	#14541021	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540975	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540970	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540967	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540947	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540942	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540939	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540934	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540730	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540727	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540710	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540707	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539176	C₂	1	1	yes	maximal, characteristic, complemented
19	#14538716	C₂	1	1	yes	maximal, characteristic, complemented
20	#14538712	C₂	1	1	yes	maximal, characteristic, complemented
21	#14538594	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538402	C₂	1	1	yes	maximal, characteristic, complemented
23	#14538396	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538246	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538035	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538033	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537589	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537517	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537302	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537299	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3321	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#63256	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587600	C₂²	1	1	yes	characteristic
35	C₂×#10587600	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587597	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#63218	C₂²	1	1	yes	characteristic, complemented
38	C₂×M₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
39	#11763525	C₂²	1	1	yes	characteristic, complemented
40	#11763524	C₂²	1	1	yes	characteristic, complemented
41	#11763524	C₂²	1	1	yes	characteristic, complemented
42	#11763523	—	2	1	no	—
43	#11763523	C₂²	1	1	yes	characteristic
44	#11763523	C₂²	1	1	yes	characteristic, complemented
45	#11763522	—	2	1	no	—
46	#11763522	C₂²	1	1	yes	characteristic
47	#11763522	C₂²	1	1	yes	characteristic, complemented
48	#11763521	—	2	1	no	—
49	#11763521	—	2	1	no	—
50	#11763478	C₂²	1	1	yes	characteristic, complemented
51	Q₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
52	#11763471	C₂²	1	1	yes	characteristic, complemented
53	#11763461	—	2	1	no	—
54	#11763461	C₂²	1	1	yes	characteristic, complemented
55	#11763455	—	2	1	no	—
56	#11763455	C₂²	1	1	yes	characteristic, complemented
57	#11763452	—	2	1	no	—
58	#11763452	C₂²	1	1	yes	characteristic, complemented
59	#11763443	—	2	1	no	—
60	#11763443	C₂²	1	1	yes	characteristic, complemented
61	#11763358	—	2	1	no	—
62	#11763358	C₂²	1	1	yes	characteristic
63	C₄⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
64	#124×D₁₇	—	2	1	no	—
65	#124×D₁₇	—	2	1	no	—
66	#11763322	—	2	1	no	—
67	#11763322	C₂²	1	1	yes	characteristic
68	#11763319	—	2	1	no	—
69	#11763319	C₂²	1	1	yes	characteristic
70	#121×D₁₇	—	2	1	no	—
71	#121×D₁₇	C₂²	1	1	yes	characteristic, complemented
72	#121×D₁₇	C₂²	1	1	yes	characteristic, complemented
73	C₄×#63256	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₇	—	2	1	no	—
75	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
77	#117×D₁₇	—	2	1	no	—
78	#117×D₁₇	C₂²	1	1	yes	characteristic, complemented
79	#117×D₁₇	C₂²	1	1	yes	characteristic, complemented
80	#11763171	C₂²	1	1	yes	characteristic, complemented
81	#11763169	C₂²	1	1	yes	characteristic, complemented
82	#11763168	C₂²	1	1	yes	characteristic, complemented
83	#11763158	C₂²	1	1	yes	characteristic, complemented
84	#11763158	C₂²	1	1	yes	characteristic, complemented
85	#11763154	C₂²	1	1	yes	characteristic, complemented
86	#11763154	C₂²	1	1	yes	characteristic, complemented
87	#11763153	C₂²	1	1	yes	characteristic, complemented
88	#11763152	C₂²	1	1	yes	characteristic, complemented
89	#11763151	C₂²	1	1	yes	characteristic, complemented
90	#11763150	C₂²	1	1	yes	characteristic, complemented
91	#11763149	C₂²	1	1	yes	characteristic, complemented
92	#11763148	C₂²	1	1	yes	characteristic, complemented
93	#11763147	C₂²	1	1	yes	characteristic, complemented
94	#11763136	C₂²	1	1	yes	characteristic, complemented
95	#11763135	C₂²	1	1	yes	characteristic, complemented
96	#11763134	C₂²	1	1	yes	characteristic, complemented
97	#11763133	C₂²	1	1	yes	characteristic, complemented
98	#11763132	C₂²	1	1	yes	characteristic, complemented
99	#11763131	C₂²	1	1	yes	characteristic, complemented
100	#11763130	C₂²	1	1	yes	characteristic, complemented
101	#11763102	C₂²	1	1	yes	characteristic, complemented
102	#11763102	C₂²	1	1	yes	characteristic, complemented
103	#11763098	C₂²	1	1	yes	characteristic, complemented
104	#11763098	C₂²	1	1	yes	characteristic, complemented
105	#11763094	C₂²	1	1	yes	characteristic, complemented
106	#11763090	C₂²	1	1	yes	characteristic, complemented
107	#11763086	C₂²	1	1	yes	characteristic, complemented
108	#11763063	C₂²	1	1	yes	characteristic, complemented
109	#11763061	C₂²	1	1	yes	characteristic, complemented
110	#11763060	C₂²	1	1	yes	characteristic, complemented
111	#11763058	C₂²	1	1	yes	characteristic, complemented
112	#11763055	C₂²	1	1	yes	characteristic, complemented
113	#11763053	C₂²	1	1	yes	characteristic, complemented
114	#11763052	C₂²	1	1	yes	characteristic, complemented
115	#11763045	C₂²	1	1	yes	characteristic, complemented
116	#11763044	C₂²	1	1	yes	characteristic, complemented
117	#11763043	C₂²	1	1	yes	characteristic, complemented
118	#11763042	C₂²	1	1	yes	characteristic, complemented
119	#11763040	C₂²	1	1	yes	characteristic, complemented
120	#11763039	C₂²	1	1	yes	characteristic, complemented
121	#11763037	C₂²	1	1	yes	characteristic, complemented
122	#11763025	C₂²	1	1	yes	characteristic, complemented
123	#11763024	C₂²	1	1	yes	characteristic, complemented
124	#11763021	C₂²	1	1	yes	characteristic, complemented
125	#11763013	C₂²	1	1	yes	characteristic, complemented
126	#11763012	C₂²	1	1	yes	characteristic, complemented
127	#11763003	C₂²	1	1	yes	characteristic, complemented
128	#11763002	C₂²	1	1	yes	characteristic, complemented
129	#11762957	C₂²	1	1	yes	characteristic, complemented
130	#11762957	C₂²	1	1	yes	characteristic, complemented
131	#11762956	C₂²	1	1	yes	characteristic, complemented
132	#11762954	C₂²	1	1	yes	characteristic, complemented
133	#11762953	C₂²	1	1	yes	characteristic, complemented
134	#11762953	C₂²	1	1	yes	characteristic, complemented
135	#11762952	C₂²	1	1	yes	characteristic, complemented
136	#11762949	C₂²	1	1	yes	characteristic, complemented
137	#11762948	C₂²	1	1	yes	characteristic, complemented
138	#11762946	C₂²	1	1	yes	characteristic, complemented
139	#11762945	C₂²	1	1	yes	characteristic, complemented
140	#11762944	C₂²	1	1	yes	characteristic, complemented
141	#11762942	C₂²	1	1	yes	characteristic, complemented
142	#11762941	C₂²	1	1	yes	characteristic, complemented
143	#11762922	C₂²	1	1	yes	characteristic, complemented
144	#11762919	C₂²	1	1	yes	characteristic, complemented
145	#11762907	C₂²	1	1	yes	characteristic, complemented
146	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
147	#11762894	C₂²	1	1	yes	characteristic, complemented
148	#11762891	C₂²	1	1	yes	characteristic, complemented
149	#11762889	C₂²	1	1	yes	characteristic, complemented
150	#11762885	C₂²	1	1	yes	characteristic, complemented
151	#11762884	C₂²	1	1	yes	characteristic, complemented
152	#11762882	C₂²	1	1	yes	characteristic, complemented
153	#11762881	C₂²	1	1	yes	characteristic, complemented
154	#11762879	C₂²	1	1	yes	characteristic, complemented
155	C₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
156	#11762872	C₂²	1	1	yes	characteristic, complemented
157	#11762850	C₂²	1	1	yes	characteristic, complemented
158	#11762848	C₂²	1	1	yes	characteristic, complemented
159	#11762848	C₂²	1	1	yes	characteristic, complemented
160	#11762831	C₂²	1	1	yes	characteristic, complemented
161	#11762818	C₂²	1	1	yes	characteristic, complemented
162	#11762816	C₂²	1	1	yes	characteristic, complemented
163	#11762816	C₂²	1	1	yes	characteristic, complemented
164	#11762815	C₂²	1	1	yes	characteristic, complemented
165	#11762813	C₂²	1	1	yes	characteristic, complemented
166	#11762812	C₂²	1	1	yes	characteristic, complemented
167	#11762812	C₂²	1	1	yes	characteristic, complemented
168	#11762812	C₂²	1	1	yes	characteristic, complemented
169	#11762809	C₂²	1	1	yes	characteristic
170	#11762809	C₂²	1	1	yes	characteristic
171	#11762809	C₂²	1	1	yes	characteristic
172	#11762809	C₂²	1	1	yes	characteristic, complemented
173	#11762809	C₂²	1	1	yes	characteristic, complemented
174	#11762809	C₂²	1	1	yes	characteristic, complemented
175	#11762807	C₂²	1	1	yes	characteristic, complemented
176	#11762807	C₂²	1	1	yes	characteristic, complemented
177	#11762807	C₂²	1	1	yes	characteristic, complemented
178	#11762806	C₂²	1	1	yes	characteristic, complemented
179	#11762805	C₂²	1	1	yes	characteristic, complemented
180	#11762804	C₂²	1	1	yes	characteristic, complemented
181	#11762804	C₂²	1	1	yes	characteristic, complemented
182	#11762804	C₂²	1	1	yes	characteristic, complemented
183	#11762804	C₂²	1	1	yes	characteristic, complemented
184	#11762803	C₂²	1	1	yes	characteristic, complemented
185	#11762771	C₂²	1	1	yes	characteristic, complemented
186	#11762771	C₂²	1	1	yes	characteristic, complemented
187	#11762761	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#555	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#548	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#489	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#485	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#475	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#469	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#465	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#449	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#448	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#440	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#435	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#419	C₂²	1	1	yes	characteristic, complemented
202	C₁₇×#416	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
205	#41×D₁₇	—	2	4	no	—
206	#41×D₁₇	—	4	2	no	—
207	C₂×#63256	—	2	1	no	—
208	C₂×#63256	—	2	1	no	—
209	C₂×#63256	—	2	4	no	—
210	C₂×#63256	—	4	2	no	—
211	C₂×#63256	C₂³	1	1	yes	characteristic
212	C₂×#63256	C₂³	1	1	yes	characteristic
213	C₂×#63256	C₂³	1	1	yes	characteristic
214	C₂×#63256	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₇	—	2	1	no	—
216	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
217	C₂×#63254	—	2	1	no	—
218	C₂×#63254	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₁₇	—	2	1	no	—
220	C₂×D₄×D₁₇	—	2	1	no	—
221	C₂×D₄×D₁₇	—	2	1	no	—
222	C₂×D₄×D₁₇	—	2	1	no	—
223	C₂×D₄×D₁₇	D₄	1	1	yes	characteristic
224	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
226	C₂×#63252	—	2	1	no	—
227	C₂×#63252	C₂³	1	1	yes	characteristic
228	C₂²×D₆₈	—	2	1	no	—
229	C₂²×D₆₈	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₁₇	—	2	1	no	—
231	C₂²×C₄×D₁₇	—	2	1	no	—
232	C₂²×C₄×D₁₇	—	2	1	no	—
233	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
237	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
238	C₂×M₁₆×C₁₇	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
240	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₇×#124	—	2	1	no	—
242	C₁₇×#124	—	2	1	no	—
243	C₁₇×#124	—	2	1	no	—
244	C₁₇×#124	C₂³	1	1	yes	characteristic
245	C₁₇×C₂²⋊Q₈	—	2	1	no	—
246	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₇×#121	—	2	1	no	—
248	C₁₇×#121	—	2	1	no	—
249	C₁₇×#121	C₂³	1	1	yes	characteristic
250	C₁₇×#121	C₂³	1	1	yes	characteristic
251	C₁₇×#121	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₇	—	2	1	no	—
254	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
256	C₁₇×#117	—	2	1	no	—
257	C₁₇×#117	C₂³	1	1	yes	characteristic
258	C₁₇×#117	C₂³	1	1	yes	characteristic
259	#10587633	—	2	1	no	—
260	#10587633	—	2	1	no	—
261	#10587632	—	2	1	no	—
262	#10587632	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
264	#10587630	—	2	1	no	—
265	#10587630	—	2	1	no	—
266	#10587630	C₂³	1	1	yes	characteristic
267	C₂×#63230	C₂³	1	1	yes	characteristic
268	C₂×#63230	C₂³	1	1	yes	characteristic
269	#10587626	—	2	1	no	—
270	#10587626	C₂³	1	1	yes	characteristic
271	#10587625	—	2	1	no	—
272	#10587625	—	2	1	no	—
273	#10587625	—	2	1	no	—
274	#10587625	—	2	1	no	—
275	#10587624	—	2	1	no	—
276	#10587624	—	2	1	no	—
277	#10587624	C₂³	1	1	yes	characteristic
278	#10587624	C₂³	1	1	yes	characteristic
279	#10587624	C₂³	1	1	yes	characteristic
280	#10587623	—	2	1	no	—
281	#10587623	—	2	1	no	—
282	#10587623	—	2	1	no	—
283	#10587622	—	2	1	no	—
284	#10587622	—	2	1	no	—
285	D₄×Dic₁₇	—	2	1	no	—
286	D₄×Dic₁₇	D₄	1	1	yes	characteristic
287	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	C₂×#63229	C₂³	1	1	yes	characteristic
289	C₂×#63228	C₂³	1	1	yes	characteristic
290	C₂×#63228	C₂³	1	1	yes	characteristic
291	C₂×#63228	C₂³	1	1	yes	characteristic
292	#10587616	—	2	1	no	—
293	#10587616	—	2	1	no	—
294	#10587616	C₂³	1	1	yes	characteristic
295	#10587616	C₂³	1	1	yes	characteristic
296	#10587616	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₇	—	2	1	no	—
298	C₄×C₂²⋊D₁₇	—	2	1	no	—
299	C₄×C₂²⋊D₁₇	—	2	1	no	—
300	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
302	#10587612	—	2	1	no	—
303	#10587612	C₂³	1	1	yes	characteristic
304	#10587612	C₂³	1	1	yes	characteristic
305	#10587610	—	2	1	no	—
306	#10587610	C₂³	1	1	yes	characteristic
307	C₂×#63223	C₂³	1	1	yes	characteristic
308	C₂²×#3622	C₂³	1	1	yes	characteristic
309	#10587600	—	2	4	no	—
310	#10587600	—	4	2	no	—
311	#10587597	—	4	2	no	—
312	M₁₆×D₁₇	—	4	2	no	—
313	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
314	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
315	C₂×#63219	C₂³	1	1	yes	characteristic
316	C₂×#63218	—	4	2	no	—
317	C₂×#63218	C₂³	1	1	yes	characteristic
318	C₂×#63218	C₂³	1	1	yes	characteristic
319	C₂×#63218	C₂³	1	1	yes	characteristic
320	C₂×#63218	C₂³	1	1	yes	characteristic
321	C₂×#63218	C₂³	1	1	yes	characteristic
322	C₂×#63218	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
325	#10587583	—	2	1	no	—
326	#10587583	C₂³	1	1	yes	characteristic
327	#10587581	—	2	1	no	—
328	#10587581	—	2	1	no	—
329	#10587581	C₂³	1	1	yes	characteristic
330	#10587581	C₂³	1	1	yes	characteristic
331	#10587581	C₂³	1	1	yes	characteristic
332	#10587580	—	2	1	no	—
333	#10587580	—	2	1	no	—
334	#10587580	—	2	1	no	—
335	#10587579	—	2	1	no	—
336	#10587579	—	2	1	no	—
337	#10587579	D₄	1	1	yes	characteristic
338	#10587579	C₂³	1	1	yes	characteristic
339	#10587579	C₂³	1	1	yes	characteristic
340	#10587578	—	2	1	no	—
341	#10587578	—	2	1	no	—
342	#10587578	—	2	1	no	—
343	#10587578	C₂³	1	1	yes	characteristic
344	#10587578	C₂³	1	1	yes	characteristic
345	#10587578	C₂³	1	1	yes	characteristic
346	#10587578	C₂³	1	1	yes	characteristic
347	#10587578	C₂³	1	1	yes	characteristic
348	C₄⋊C₄×D₁₇	—	2	1	no	—
349	C₄⋊C₄×D₁₇	—	2	1	no	—
350	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
351	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
352	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
353	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
354	#10587574	—	2	1	no	—
355	#10587574	C₂³	1	1	yes	characteristic
356	#10587574	C₂³	1	1	yes	characteristic
357	#10587571	—	2	1	no	—
358	#10587571	—	2	1	no	—
359	#10587571	—	2	1	no	—
360	#10587571	—	2	1	no	—
361	#10587571	—	2	1	no	—
362	#10587571	—	2	1	no	—
363	#10587571	—	2	1	no	—
364	#10587571	—	2	1	no	—
365	#10587570	—	2	1	no	—
366	#10587570	—	2	1	no	—
367	#10587570	—	2	1	no	—
368	#10587570	—	2	1	no	—
369	#10587570	—	2	1	no	—
370	#10587570	—	2	1	no	—
371	#10587570	—	2	1	no	—
372	#10587570	—	2	1	no	—
373	#10587570	—	2	1	no	—
374	#10587570	—	2	1	no	—
375	#10587569	—	2	1	no	—
376	#10587569	—	2	1	no	—
377	#10587569	—	2	1	no	—
378	#10587568	—	2	1	no	—
379	#10587568	—	2	1	no	—
380	#10587568	—	2	1	no	—
381	#10587567	—	2	1	no	—
382	#10587567	—	2	1	no	—
383	#10587567	—	2	1	no	—
384	#10587567	—	2	1	no	—
385	#10587567	—	2	1	no	—
386	#10587567	D₄	1	1	yes	characteristic
387	#10587567	D₄	1	1	yes	characteristic
388	C₂²⋊C₄×D₁₇	—	2	1	no	—
389	C₂²⋊C₄×D₁₇	—	2	1	no	—
390	C₂²⋊C₄×D₁₇	—	2	1	no	—
391	C₂²⋊C₄×D₁₇	—	2	1	no	—
392	C₂²⋊C₄×D₁₇	—	2	1	no	—
393	C₂²⋊C₄×D₁₇	—	2	1	no	—
394	C₂²⋊C₄×D₁₇	—	2	1	no	—
395	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
396	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
397	#10587563	—	2	1	no	—
398	#10587563	—	2	1	no	—
399	#10587563	—	2	1	no	—
400	#10587563	—	2	1	no	—
401	#10587561	—	2	1	no	—
402	#10587561	—	2	1	no	—
403	#10587561	—	2	1	no	—
404	#10587561	C₂³	1	1	yes	characteristic
405	C₄×D₆₈	—	2	1	no	—
406	C₄×D₆₈	—	2	1	no	—
407	C₄×D₆₈	C₂³	1	1	yes	characteristic
408	C₄×D₆₈	C₂³	1	1	yes	characteristic
409	C₄×D₆₈	C₂³	1	1	yes	characteristic
410	#10587558	—	2	1	no	—
411	#10587558	—	2	1	no	—
412	#10587558	—	2	1	no	—
413	#10587558	—	2	1	no	—
414	C₄²×D₁₇	—	2	1	no	—
415	C₄²×D₁₇	—	2	1	no	—
416	C₄²×D₁₇	—	2	1	no	—
417	C₄²×D₁₇	C₂³	1	1	yes	characteristic
418	#10587555	C₂³	1	1	yes	characteristic
419	C₁₇×#107	C₂³	1	1	yes	characteristic
420	C₁₇×#106	C₂³	1	1	yes	characteristic
421	C₁₇×#106	C₂³	1	1	yes	characteristic
422	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₇×#103	C₂³	1	1	yes	characteristic
424	C₁₇×#103	C₂³	1	1	yes	characteristic
425	C₁₇×#103	C₂³	1	1	yes	characteristic
426	C₁₇×#103	C₂³	1	1	yes	characteristic
427	C₁₇×#103	C₂³	1	1	yes	characteristic
428	C₁₇×#103	C₂³	1	1	yes	characteristic
429	C₁₇×#102	C₂³	1	1	yes	characteristic
430	C₁₇×#102	C₂³	1	1	yes	characteristic
431	C₁₇×#102	C₂³	1	1	yes	characteristic
432	C₁₇×#102	C₂³	1	1	yes	characteristic
433	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₇×#97	C₂³	1	1	yes	characteristic
436	#10587506	C₂³	1	1	yes	characteristic
437	#10587506	C₂³	1	1	yes	characteristic
438	#10587506	C₂³	1	1	yes	characteristic
439	#10587506	C₂³	1	1	yes	characteristic
440	#10587506	C₂³	1	1	yes	characteristic
441	#10587506	C₂³	1	1	yes	characteristic
442	#10587503	C₂³	1	1	yes	characteristic
443	#10587503	C₂³	1	1	yes	characteristic
444	#10587503	C₂³	1	1	yes	characteristic
445	#10587503	C₂³	1	1	yes	characteristic
446	C₂²⋊#3622	C₂³	1	1	yes	characteristic
447	C₂²⋊#3622	C₂³	1	1	yes	characteristic
448	#10587492	C₂³	1	1	yes	characteristic
449	#10587492	C₂³	1	1	yes	characteristic
450	#10587492	C₂³	1	1	yes	characteristic
451	#10587492	C₂³	1	1	yes	characteristic
452	#10587492	C₂³	1	1	yes	characteristic
453	#10587492	C₂³	1	1	yes	characteristic
454	#10587492	C₂³	1	1	yes	characteristic
455	#10587491	C₂³	1	1	yes	characteristic
456	#10587491	C₂³	1	1	yes	characteristic
457	#10587491	C₂³	1	1	yes	characteristic
458	#10587491	C₂³	1	1	yes	characteristic
459	#10587489	C₂³	1	1	yes	characteristic
460	#10587489	C₂³	1	1	yes	characteristic
461	#10587488	C₂³	1	1	yes	characteristic
462	#10587487	C₂³	1	1	yes	characteristic
463	#10587487	C₂³	1	1	yes	characteristic
464	#10587487	C₂³	1	1	yes	characteristic
465	#10587485	C₂³	1	1	yes	characteristic
466	#10587485	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
469	#10587481	C₂³	1	1	yes	characteristic
470	#10587481	C₂³	1	1	yes	characteristic
471	#10587481	C₂³	1	1	yes	characteristic
472	#10587480	C₂³	1	1	yes	characteristic
473	#10587480	C₂³	1	1	yes	characteristic
474	#10587480	C₂³	1	1	yes	characteristic
475	#10587480	C₂³	1	1	yes	characteristic
476	#10587480	C₂³	1	1	yes	characteristic
477	#10587480	C₂³	1	1	yes	characteristic
478	#10587480	C₂³	1	1	yes	characteristic
479	#10587479	C₂³	1	1	yes	characteristic
480	#10587479	C₂³	1	1	yes	characteristic
481	#10587479	C₂³	1	1	yes	characteristic
482	#10587478	C₂³	1	1	yes	characteristic
483	#10587478	C₂³	1	1	yes	characteristic
484	#10587478	C₂³	1	1	yes	characteristic
485	C₄⋊#3622	C₂³	1	1	yes	characteristic
486	#10587474	C₂³	1	1	yes	characteristic
487	C₂³×D₁₇	—	2	1	no	—
488	C₂³×D₁₇	—	2	1	no	—
489	C₂³×D₁₇	—	2	1	no	—
490	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
491	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
492	#41×C₁₇	—	2	2	no	—
493	#41×C₁₇	—	4	1	no	—
494	C₂×Q₈×C₁₇	—	2	1	no	—
495	C₂×Q₈×C₁₇	—	2	1	no	—
496	C₂×Q₈×C₁₇	—	2	2	no	—
497	C₂×Q₈×C₁₇	—	4	1	no	—
498	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₇	—	2	1	no	—
501	C₂×D₄×C₁₇	—	2	1	no	—
502	C₂×D₄×C₁₇	—	2	1	no	—
503	C₂×D₄×C₁₇	—	2	1	no	—
504	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₇	—	2	1	no	—
508	C₂²×C₄×C₁₇	—	2	1	no	—
509	C₂²×C₄×C₁₇	—	2	1	no	—
510	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₇	—	2	1	no	—
513	C₂×C₂²⋊D₁₇	—	2	1	no	—
514	C₂×C₂²⋊D₁₇	—	2	1	no	—
515	C₂×C₂²⋊D₁₇	—	2	1	no	—
516	C₂×C₂²⋊D₁₇	—	2	1	no	—
517	C₂×C₂²⋊D₁₇	—	2	1	no	—
518	C₂×C₂²⋊D₁₇	—	2	1	no	—
519	C₂×C₂²⋊D₁₇	—	2	1	no	—
520	C₂×C₂²⋊D₁₇	—	2	1	no	—
521	C₂×C₂²⋊D₁₇	—	2	1	no	—
522	C₂×C₂²⋊D₁₇	—	2	1	no	—
523	C₂×C₂²⋊D₁₇	—	2	1	no	—
524	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
526	C₂²×Dic₁₇	—	2	1	no	—
527	C₂²×Dic₁₇	—	2	1	no	—
528	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
529	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
530	#63256	—	2	2	no	—
531	#63256	—	2	2	no	—
532	#63256	—	2	2	no	—
533	#63256	—	2	2	no	—
534	#63256	—	2	2	no	—
535	#63256	—	4	4	no	—
536	#63256	—	4	1	no	—
537	#63256	—	4	1	no	—
538	#63256	—	4	4	no	—
539	#63256	#41	1	4	yes	—
540	Q₈×D₁₇	—	2	2	no	—
541	Q₈×D₁₇	—	4	1	no	—
542	Q₈×D₁₇	—	8	2	no	—
543	#63254	—	2	2	no	—
544	#63254	—	2	2	no	—
545	#63254	—	4	4	no	—
546	D₄×D₁₇	—	2	2	no	—
547	D₄×D₁₇	—	2	2	no	—
548	D₄×D₁₇	—	2	2	no	—
549	D₄×D₁₇	—	4	1	no	—
550	D₄×D₁₇	—	4	2	no	—
551	D₄×D₁₇	—	4	4	no	—
552	D₄×D₁₇	—	4	4	no	—
553	D₄×D₁₇	—	8	2	no	—
554	D₄×D₁₇	—	8	2	no	—
555	#63252	—	2	2	no	—
556	#63252	—	4	1	no	—
557	#63252	—	4	4	no	—
558	C₂×D₆₈	—	2	1	no	—
559	C₂×D₆₈	—	2	2	no	—
560	C₂×D₆₈	—	2	1	no	—
561	C₂×D₆₈	—	2	1	no	—
562	C₂×D₆₈	—	2	1	no	—
563	C₂×D₆₈	—	2	1	no	—
564	C₂×D₆₈	—	2	1	no	—
565	C₂×D₆₈	—	2	1	no	—
566	C₂×D₆₈	—	2	1	no	—
567	C₂×D₆₈	—	4	1	no	—
568	C₂×D₆₈	—	4	4	no	—
569	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
570	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
571	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
572	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₁₇	—	2	1	no	—
574	C₂×C₄×D₁₇	—	2	2	no	—
575	C₂×C₄×D₁₇	—	2	2	no	—
576	C₂×C₄×D₁₇	—	2	2	no	—
577	C₂×C₄×D₁₇	—	2	2	no	—
578	C₂×C₄×D₁₇	—	2	1	no	—
579	C₂×C₄×D₁₇	—	2	1	no	—
580	C₂×C₄×D₁₇	—	2	1	no	—
581	C₂×C₄×D₁₇	—	2	1	no	—
582	C₂×C₄×D₁₇	—	2	1	no	—
583	C₂×C₄×D₁₇	—	2	1	no	—
584	C₂×C₄×D₁₇	—	2	1	no	—
585	C₂×C₄×D₁₇	—	2	1	no	—
586	C₂×C₄×D₁₇	—	2	1	no	—
587	C₂×C₄×D₁₇	—	2	1	no	—
588	C₂×C₄×D₁₇	—	2	1	no	—
589	C₂×C₄×D₁₇	—	2	1	no	—
590	C₂×C₄×D₁₇	—	4	4	no	—
591	C₂×C₄×D₁₇	—	4	4	no	—
592	C₂×C₄×D₁₇	—	4	4	no	—
593	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
602	C₂×Dic₃₄	—	2	1	no	—
603	C₂×Dic₃₄	—	2	1	no	—
604	C₂×Dic₃₄	—	2	1	no	—
605	C₂×Dic₃₄	—	2	1	no	—
606	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
607	SD₁₆×C₁₇	—	2	2	no	—
608	SD₁₆×C₁₇	—	4	1	no	—
609	D₈×C₁₇	—	4	1	no	—
610	M₁₆×C₁₇	—	4	1	no	—
611	C₂×C₈×C₁₇	—	4	1	no	—
612	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
614	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
615	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₁₇	—	2	1	no	—
617	C₄⋊C₄×C₁₇	—	2	1	no	—
618	C₄⋊C₄×C₁₇	—	2	1	no	—
619	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
624	C₂²⋊C₄×C₁₇	—	2	1	no	—
625	C₂²⋊C₄×C₁₇	—	2	1	no	—
626	C₂²⋊C₄×C₁₇	—	2	1	no	—
627	C₂²⋊C₄×C₁₇	—	2	1	no	—
628	C₂²⋊C₄×C₁₇	—	2	1	no	—
629	C₂²⋊C₄×C₁₇	—	2	1	no	—
630	C₂²⋊C₄×C₁₇	—	2	1	no	—
631	C₂²⋊C₄×C₁₇	—	2	1	no	—
632	C₂²⋊C₄×C₁₇	—	2	1	no	—
633	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₁₇	—	2	1	no	—
636	C₄²×C₁₇	—	2	1	no	—
637	C₄²×C₁₇	—	2	1	no	—
638	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
639	C₂²⋊Dic₁₇	—	2	1	no	—
640	C₂²⋊Dic₁₇	—	2	1	no	—
641	C₂²⋊Dic₁₇	—	2	1	no	—
642	C₂²⋊Dic₁₇	—	2	1	no	—
643	C₂²⋊Dic₁₇	—	2	1	no	—
644	C₂²⋊Dic₁₇	—	2	1	no	—
645	C₂²⋊Dic₁₇	—	2	1	no	—
646	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
648	#63230	—	2	2	no	—
649	#63230	—	4	1	no	—
650	#63229	—	4	1	no	—
651	#63228	—	2	2	no	—
652	#63228	—	4	1	no	—
653	#63228	—	4	1	no	—
654	#63227	—	2	1	no	—
655	#63227	—	2	1	no	—
656	#63227	—	2	1	no	—
657	#63227	—	2	1	no	—
658	#63227	—	2	1	no	—
659	#63227	—	2	1	no	—
660	#63227	—	2	1	no	—
661	#63227	—	2	1	no	—
662	#63227	—	2	1	no	—
663	#63227	—	2	1	no	—
664	#63227	—	2	1	no	—
665	#63227	—	2	1	no	—
666	#63227	—	2	1	no	—
667	#63227	—	2	1	no	—
668	#63227	—	2	1	no	—
669	#63227	—	2	1	no	—
670	#63227	—	2	1	no	—
671	#63227	—	2	1	no	—
672	#63227	—	2	1	no	—
673	#63227	C₂×D₄	1	1	yes	characteristic
674	#63227	C₂×D₄	1	1	yes	characteristic
675	#63227	C₂×D₄	1	1	yes	characteristic
676	#63227	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₁₇	—	2	1	no	—
678	C₄⋊Dic₁₇	—	2	1	no	—
679	C₄⋊Dic₁₇	—	2	1	no	—
680	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
681	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
684	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
685	#63225	—	2	1	no	—
686	#63225	—	2	1	no	—
687	#63225	—	2	1	no	—
688	#63225	—	2	1	no	—
689	#63225	—	2	1	no	—
690	#63225	—	2	1	no	—
691	#63225	—	2	1	no	—
692	#63225	—	2	1	no	—
693	#63225	—	2	1	no	—
694	#63225	C₂×D₄	1	1	yes	characteristic
695	#63225	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₇	—	2	1	no	—
697	C₄×Dic₁₇	—	2	1	no	—
698	C₄×Dic₁₇	—	2	1	no	—
699	C₄×Dic₁₇	—	2	1	no	—
700	C₄×Dic₁₇	—	2	1	no	—
701	C₄×Dic₁₇	—	2	1	no	—
702	C₄×Dic₁₇	—	2	1	no	—
703	C₄×Dic₁₇	—	2	1	no	—
704	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
707	#63223	—	4	1	no	—
708	C₂×#3622	—	4	1	no	—
709	C₂×#3622	C₂⁴	1	1	yes	characteristic
710	C₂×#3622	C₂⁴	1	1	yes	characteristic
711	C₂×#3622	C₂⁴	1	1	yes	characteristic
712	C₂×#3622	C₂⁴	1	1	yes	characteristic
713	D₁₃₆	—	2	2	no	—
714	D₁₃₆	—	4	1	no	—
715	#63219	—	4	1	no	—
716	#63218	—	2	2	no	—
717	#63218	—	2	2	no	—
718	#63218	—	2	2	no	—
719	#63218	—	2	2	no	—
720	#63218	—	4	1	no	—
721	#63218	—	4	1	no	—
722	C₈×D₁₇	—	4	1	no	—
723	C₈×D₁₇	—	4	1	no	—
724	#61166	—	17	1	no	maximal, Sylow
725	C₂³×C₁₇	—	2	1	no	—
726	C₂³×C₁₇	—	2	1	no	—
727	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₁₇	—	2	1	no	—
730	C₂²×D₁₇	—	2	2	no	—
731	C₂²×D₁₇	—	2	2	no	—
732	C₂²×D₁₇	—	2	1	no	—
733	C₂²×D₁₇	—	2	1	no	—
734	C₂²×D₁₇	—	4	1	no	—
735	C₂²×D₁₇	—	4	1	no	—
736	C₂²×D₁₇	—	4	1	no	—
737	C₂²×D₁₇	—	4	1	no	—
738	C₂²×D₁₇	—	4	2	no	—
739	C₂²×D₁₇	—	4	2	no	—
740	C₂²×D₁₇	—	4	2	no	—
741	C₂²×D₁₇	—	4	2	no	—
742	C₂²×D₁₇	—	4	2	no	—
743	C₂²×D₁₇	—	4	2	no	—
744	C₂²×D₁₇	—	4	2	no	—
745	C₂²×D₁₇	—	8	1	no	—
746	C₂²×D₁₇	—	8	1	no	—
747	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
748	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
749	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
750	Q₈×C₁₇	—	2	1	no	—
751	Q₈×C₁₇	—	2	1	no	—
752	Q₈×C₁₇	—	2	1	no	—
753	Q₈×C₁₇	—	4	2	no	—
754	Q₈×C₁₇	—	8	1	no	—
755	Q₈×C₁₇	C₂×#41	1	2	yes	—
756	D₄×C₁₇	—	2	1	no	—
757	D₄×C₁₇	—	2	1	no	—
758	D₄×C₁₇	—	2	1	no	—
759	D₄×C₁₇	—	2	1	no	—
760	D₄×C₁₇	—	4	1	no	—
761	D₄×C₁₇	—	4	2	no	—
762	D₄×C₁₇	—	4	2	no	—
763	D₄×C₁₇	—	8	1	no	—
764	D₄×C₁₇	—	8	1	no	—
765	C₂×C₄×C₁₇	—	2	1	no	—
766	C₂×C₄×C₁₇	—	2	1	no	—
767	C₂×C₄×C₁₇	—	2	1	no	—
768	C₂×C₄×C₁₇	—	2	1	no	—
769	C₂×C₄×C₁₇	—	2	1	no	—
770	C₂×C₄×C₁₇	—	2	1	no	—
771	C₂×C₄×C₁₇	—	2	1	no	—
772	C₂×C₄×C₁₇	—	2	1	no	—
773	C₂×C₄×C₁₇	—	2	1	no	—
774	C₂×C₄×C₁₇	—	2	1	no	—
775	C₂×C₄×C₁₇	—	4	2	no	—
776	C₂×C₄×C₁₇	—	4	2	no	—
777	C₂×C₄×C₁₇	—	4	2	no	—
778	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
783	C₂²⋊D₁₇	—	2	2	no	—
784	C₂²⋊D₁₇	—	2	2	no	—
785	C₂²⋊D₁₇	—	4	2	no	—
786	C₂²⋊D₁₇	—	4	2	no	—
787	C₂²⋊D₁₇	—	4	2	no	—
788	C₂²⋊D₁₇	—	4	2	no	—
789	C₂²⋊D₁₇	—	4	2	no	—
790	C₂²⋊D₁₇	—	8	1	no	—
791	C₂²⋊D₁₇	—	8	1	no	—
792	C₂²⋊D₁₇	—	8	1	no	—
793	C₂²⋊D₁₇	—	8	1	no	—
794	C₂²⋊D₁₇	—	8	1	no	—
795	C₂²⋊D₁₇	—	8	1	no	—
796	C₂²⋊D₁₇	—	8	1	no	—
797	C₂×Dic₁₇	—	2	2	no	—
798	C₂×Dic₁₇	—	2	2	no	—
799	C₂×Dic₁₇	—	2	1	no	—
800	C₂×Dic₁₇	—	2	1	no	—
801	C₂×Dic₁₇	—	2	1	no	—
802	C₂×Dic₁₇	—	2	1	no	—
803	C₂×Dic₁₇	—	2	1	no	—
804	C₂×Dic₁₇	—	4	2	no	—
805	C₂×Dic₁₇	—	4	2	no	—
806	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
808	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
809	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
810	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
811	D₆₈	—	2	4	no	—
812	D₆₈	—	2	1	no	—
813	D₆₈	—	2	1	no	—
814	D₆₈	—	2	1	no	—
815	D₆₈	—	2	1	no	—
816	D₆₈	—	2	1	no	—
817	D₆₈	—	4	1	no	—
818	D₆₈	—	4	2	no	—
819	D₆₈	—	4	2	no	—
820	D₆₈	—	4	2	no	—
821	D₆₈	—	4	2	no	—
822	D₆₈	—	4	2	no	—
823	D₆₈	—	8	1	no	—
824	D₆₈	—	8	1	no	—
825	D₆₈	C₂×#41	1	2	yes	—
826	C₄×D₁₇	—	2	2	no	—
827	C₄×D₁₇	—	2	2	no	—
828	C₄×D₁₇	—	2	1	no	—
829	C₄×D₁₇	—	2	1	no	—
830	C₄×D₁₇	—	2	1	no	—
831	C₄×D₁₇	—	2	1	no	—
832	C₄×D₁₇	—	2	2	no	—
833	C₄×D₁₇	—	2	2	no	—
834	C₄×D₁₇	—	2	4	no	—
835	C₄×D₁₇	—	2	2	no	—
836	C₄×D₁₇	—	4	1	no	—
837	C₄×D₁₇	—	4	2	no	—
838	C₄×D₁₇	—	4	2	no	—
839	C₄×D₁₇	—	4	2	no	—
840	C₄×D₁₇	—	4	2	no	—
841	C₄×D₁₇	—	4	2	no	—
842	C₄×D₁₇	—	4	2	no	—
843	C₄×D₁₇	—	4	2	no	—
844	C₄×D₁₇	—	4	2	no	—
845	C₄×D₁₇	—	4	2	no	—
846	C₄×D₁₇	—	4	2	no	—
847	C₄×D₁₇	—	4	2	no	—
848	C₄×D₁₇	—	8	1	no	—
849	C₄×D₁₇	C₂×#41	1	2	yes	—
850	C₄×D₁₇	H(5,𝔽₂)	1	2	yes	—
851	Dic₃₄	—	2	1	no	—
852	Dic₃₄	—	2	1	no	—
853	Dic₃₄	—	4	2	no	—
854	Dic₃₄	—	8	1	no	—
855	Dic₃₄	—	8	1	no	—
856	Dic₃₄	—	8	1	no	—
857	C₈×C₁₇	—	2	1	no	—
858	C₈×C₁₇	—	2	1	no	—
859	C₈×C₁₇	—	2	1	no	—
860	C₈×C₁₇	—	2	1	no	—
861	#3622	—	2	1	no	—
862	#3622	—	2	1	no	—
863	#3622	—	2	1	no	—
864	#3622	—	2	1	no	—
865	C₂×#555	—	17	1	no	—
866	D₄×#41	—	17	1	no	—
867	#3329	—	17	1	no	—
868	#3329	—	17	1	no	—
869	#3325	—	17	1	no	—
870	#3325	—	17	1	no	—
871	#3321	—	17	1	no	—
872	#3321	—	17	1	no	—
873	#3321	—	17	1	no	—
874	#3321	D₁₇	1	1	yes	characteristic, complemented
875	#3319	—	17	1	no	—
876	#3319	—	17	1	no	—
877	#3319	—	17	1	no	—
878	#3319	—	17	1	no	—
879	#3305	—	17	1	no	—
880	#3305	—	17	1	no	—
881	#3303	—	17	1	no	—
882	#3303	—	17	1	no	—
883	#3141	—	17	1	no	—
884	#3093	—	17	1	no	—
885	#3093	—	17	1	no	—
886	#3079	—	17	1	no	—
887	#3055	—	17	1	no	—
888	#3055	—	17	1	no	—
889	#3036	—	17	1	no	—
890	#3006	—	17	1	no	—
891	#3006	—	17	1	no	—
892	C₄×AGL(1,ℤ/8)	—	17	1	no	—
893	D₄×M₁₆	—	17	1	no	—
894	#2896	—	17	1	no	—
895	#2896	—	17	1	no	—
896	C₂²×C₁₇	—	2	1	no	—
897	C₂²×C₁₇	—	2	1	no	—
898	C₂²×C₁₇	—	2	1	no	—
899	C₂²×C₁₇	—	2	1	no	—
900	C₂²×C₁₇	—	2	1	no	—
901	C₂²×C₁₇	—	2	1	no	—
902	C₂²×C₁₇	—	4	1	no	—
903	C₂²×C₁₇	—	4	1	no	—
904	C₂²×C₁₇	—	4	1	no	—
905	C₂²×C₁₇	—	4	1	no	—
906	C₂²×C₁₇	—	4	1	no	—
907	C₂²×C₁₇	—	4	1	no	—
908	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
909	C₂×D₁₇	—	2	1	no	—
910	C₂×D₁₇	—	2	1	no	—
911	C₂×D₁₇	—	2	1	no	—
912	C₂×D₁₇	—	2	1	no	—
913	C₂×D₁₇	—	2	1	no	—
914	C₂×D₁₇	—	2	1	no	—
915	C₂×D₁₇	—	2	2	no	—
916	C₂×D₁₇	—	2	1	no	—
917	C₂×D₁₇	—	2	1	no	—
918	C₂×D₁₇	—	4	1	no	—
919	C₂×D₁₇	—	4	1	no	—
920	C₂×D₁₇	—	4	1	no	—
921	C₂×D₁₇	—	4	1	no	—
922	C₂×D₁₇	—	4	1	no	—
923	C₂×D₁₇	—	4	1	no	—
924	C₂×D₁₇	—	4	1	no	—
925	C₂×D₁₇	—	4	1	no	—
926	C₂×D₁₇	—	8	2	no	—
927	C₂×D₁₇	—	8	2	no	—
928	C₂×D₁₇	—	8	4	no	—
929	C₂×D₁₇	—	8	4	no	—
930	C₂×D₁₇	—	8	4	no	—
931	C₂×D₁₇	#546	1	2	yes	—
932	C₄×C₁₇	—	2	1	no	—
933	C₄×C₁₇	—	2	2	no	—
934	C₄×C₁₇	—	2	1	no	—
935	C₄×C₁₇	—	2	1	no	—
936	C₄×C₁₇	—	2	1	no	—
937	C₄×C₁₇	—	4	1	no	—
938	C₄×C₁₇	—	4	1	no	—
939	C₄×C₁₇	—	4	1	no	—
940	C₄×C₁₇	—	4	1	no	—
941	C₄×C₁₇	—	4	1	no	—
942	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
943	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
944	Dic₁₇	—	2	1	no	—
945	Dic₁₇	—	2	1	no	—
946	Dic₁₇	—	2	1	no	—
947	Dic₁₇	—	4	1	no	—
948	Dic₁₇	—	4	1	no	—
949	Dic₁₇	—	4	1	no	—
950	Dic₁₇	—	4	1	no	—
951	Dic₁₇	—	4	1	no	—
952	Dic₁₇	#546	1	2	yes	—
953	Dic₁₇	#575	1	2	yes	—
954	C₂²×#41	—	17	1	no	—
955	C₂²×#41	—	17	1	no	—
956	C₂×AGL(1,ℤ/8)	—	17	1	no	—
957	C₂×AGL(1,ℤ/8)	—	17	1	no	—
958	C₂×AGL(1,ℤ/8)	—	17	1	no	—
959	C₂²×M₁₆	—	17	1	no	—
960	C₂²×M₁₆	—	17	1	no	—
961	#555	—	17	1	no	—
962	#555	—	17	1	no	—
963	#555	—	17	1	no	—
964	#555	—	17	1	no	—
965	#555	—	17	1	no	—
966	#555	—	17	1	no	—
967	#555	—	17	1	no	—
968	#555	—	34	1	no	—
969	#555	—	34	1	no	—
970	#555	—	34	1	no	—
971	#555	—	34	1	no	—
972	#555	C₂×D₁₇	1	1	yes	characteristic, complemented
973	#550	—	17	1	no	—
974	D₄×Q₈	—	17	1	no	—
975	#548	—	17	1	no	—
976	#548	C₂×D₁₇	1	1	yes	characteristic, complemented
977	#547	—	17	1	no	—
978	#547	—	34	1	no	—
979	#546	—	17	1	no	—
980	#546	—	17	1	no	—
981	#546	—	34	1	no	—
982	#546	—	34	1	no	—
983	D₄²	—	17	1	no	—
984	D₄²	—	34	1	no	—
985	#532	—	17	1	no	—
986	#532	—	34	1	no	—
987	C₂×C₄⋊Q₈	—	17	1	no	—
988	C₂×#124	—	34	1	no	—
989	C₂×#124	—	34	1	no	—
990	#525	—	17	1	no	—
991	#525	—	17	1	no	—
992	#525	—	34	1	no	—
993	#525	—	34	1	no	—
994	C₂×#121	—	17	1	no	—
995	C₂×#121	—	17	1	no	—
996	C₂×#121	—	34	1	no	—
997	C₄×#41	—	17	1	no	—
998	C₂×C₄×D₄	—	17	1	no	—
999	C₂×C₄×D₄	—	17	1	no	—
1000	C₂×C₄×D₄	—	34	1	no	—
1001	C₂×#117	—	17	1	no	—
1002	C₂×#117	—	17	1	no	—
1003	C₂×#117	—	34	1	no	—
1004	#489	—	17	1	no	—
1005	#489	—	17	1	no	—
1006	#489	—	17	1	no	—
1007	#489	C₂×D₁₇	1	1	yes	characteristic, complemented
1008	#487	—	17	1	no	—
1009	#487	—	17	1	no	—
1010	#486	—	17	1	no	—
1011	#486	—	17	1	no	—
1012	#485	—	17	1	no	—
1013	#485	—	17	1	no	—
1014	#485	—	17	1	no	—
1015	#485	—	17	1	no	—
1016	#485	—	17	1	no	—
1017	#485	—	17	1	no	—
1018	#485	—	17	1	no	—
1019	#485	C₂×D₁₇	1	1	yes	characteristic, complemented
1020	#482	—	17	1	no	—
1021	#482	—	17	1	no	—
1022	#482	—	17	1	no	—
1023	#482	—	17	1	no	—
1024	#482	—	17	1	no	—
1025	#482	—	17	1	no	—
1026	#482	—	17	1	no	—
1027	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
1028	#477	—	17	1	no	—
1029	#477	—	17	1	no	—
1030	#476	—	17	1	no	—
1031	#476	—	17	1	no	—
1032	#475	—	17	1	no	—
1033	#475	C₂×D₁₇	1	1	yes	characteristic, complemented
1034	#474	—	17	1	no	—
1035	#474	—	17	1	no	—
1036	#469	—	17	1	no	—
1037	#469	—	17	1	no	—
1038	#469	—	17	1	no	—
1039	#469	C₂×D₁₇	1	1	yes	characteristic, complemented
1040	#468	—	17	1	no	—
1041	#468	—	17	1	no	—
1042	#468	—	17	1	no	—
1043	#468	—	17	1	no	—
1044	#466	—	17	1	no	—
1045	#466	—	17	1	no	—
1046	#466	—	17	1	no	—
1047	#466	—	17	1	no	—
1048	#465	—	17	1	no	—
1049	#465	—	17	1	no	—
1050	#465	—	17	1	no	—
1051	#465	C₂×D₁₇	1	1	yes	characteristic, complemented
1052	#463	—	17	1	no	—
1053	#463	—	17	1	no	—
1054	#463	—	17	1	no	—
1055	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1056	#461	—	17	1	no	—
1057	#461	—	17	1	no	—
1058	#459	—	17	1	no	—
1059	#459	—	17	1	no	—
1060	#449	—	17	1	no	—
1061	#449	—	17	1	no	—
1062	#449	—	17	1	no	—
1063	#449	—	17	1	no	—
1064	#449	—	17	1	no	—
1065	#449	—	17	1	no	—
1066	#449	—	17	1	no	—
1067	#449	C₂×D₁₇	1	1	yes	characteristic, complemented
1068	#448	—	17	1	no	—
1069	#448	—	17	1	no	—
1070	#448	—	17	1	no	—
1071	#448	C₂×D₁₇	1	1	yes	characteristic, complemented
1072	#447	—	17	1	no	—
1073	#447	—	17	1	no	—
1074	#447	—	17	1	no	—
1075	#447	—	17	1	no	—
1076	#442	—	17	1	no	—
1077	#442	—	17	1	no	—
1078	#440	—	17	1	no	—
1079	#440	C₂×D₁₇	1	1	yes	characteristic, complemented
1080	C₄×SD₁₆	—	17	1	no	—
1081	C₄×SD₁₆	—	17	1	no	—
1082	C₄×D₈	—	17	1	no	—
1083	C₄×D₈	—	17	1	no	—
1084	#436	—	17	1	no	—
1085	#436	—	17	1	no	—
1086	#435	—	17	1	no	—
1087	#435	—	17	1	no	—
1088	#435	—	17	1	no	—
1089	#435	C₂×D₁₇	1	1	yes	characteristic, complemented
1090	C₈×D₄	—	17	1	no	—
1091	C₈×D₄	—	17	1	no	—
1092	#428	—	17	1	no	—
1093	#428	—	17	1	no	—
1094	#428	—	17	1	no	—
1095	#423	—	17	1	no	—
1096	#419	—	17	1	no	—
1097	#419	—	17	1	no	—
1098	#419	—	17	1	no	—
1099	#419	C₂×D₁₇	1	1	yes	characteristic, complemented
1100	#418	—	17	1	no	—
1101	#418	—	17	1	no	—
1102	#418	—	17	1	no	—
1103	#418	—	17	1	no	—
1104	#418	—	17	1	no	—
1105	#417	—	17	1	no	—
1106	#417	—	17	1	no	—
1107	#417	—	17	1	no	—
1108	#417	—	17	1	no	—
1109	#417	—	17	1	no	—
1110	#417	—	17	1	no	—
1111	#417	—	17	1	no	—
1112	#417	—	17	1	no	—
1113	#417	—	17	1	no	—
1114	#416	—	17	1	no	—
1115	#416	—	17	1	no	—
1116	#416	—	17	1	no	—
1117	#416	—	17	1	no	—
1118	#416	—	17	1	no	—
1119	#416	—	17	1	no	—
1120	#416	—	17	1	no	—
1121	#416	C₂×D₁₇	1	1	yes	characteristic, complemented
1122	#407	—	17	1	no	—
1123	#407	—	17	1	no	—
1124	C₄×M₁₆	—	17	1	no	—
1125	C₂×C₁₇	—	4	1	no	—
1126	C₂×C₁₇	—	4	1	no	—
1127	C₂×C₁₇	—	8	1	no	—
1128	C₂×C₁₇	—	8	1	no	—
1129	C₂×C₁₇	C₂×#546	1	1	yes	characteristic
1130	C₂×C₁₇	C₂×#575	1	1	yes	characteristic
1131	C₂×C₁₇	#3585	1	1	yes	characteristic
1132	D₁₇	—	2	2	no	—
1133	D₁₇	—	4	1	no	—
1134	D₁₇	—	4	1	no	—
1135	D₁₇	—	4	2	no	—
1136	D₁₇	—	8	1	no	—
1137	D₁₇	—	8	1	no	—
1138	C₂×#41	—	17	1	no	—
1139	C₂×#41	—	17	1	no	—
1140	C₂×#41	—	17	1	no	—
1141	C₂×#41	—	17	1	no	—
1142	C₂×#41	—	17	1	no	—
1143	C₂×#41	—	17	1	no	—
1144	C₂×#41	—	34	1	no	—
1145	C₂×#41	—	34	1	no	—
1146	C₂×#41	—	34	1	no	—
1147	C₂×#41	—	34	1	no	—
1148	C₂×#41	—	34	4	no	—
1149	C₂×#41	—	34	4	no	—
1150	C₂×#41	—	68	2	no	—
1151	C₂×#41	—	68	2	no	—
1152	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1153	C₂²×Q₈	—	17	1	no	—
1154	C₂²×Q₈	—	34	1	no	—
1155	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1156	C₂²×D₄	—	17	1	no	—
1157	C₂²×D₄	—	17	1	no	—
1158	C₂²×D₄	—	17	1	no	—
1159	C₂²×D₄	—	17	1	no	—
1160	C₂²×D₄	—	34	1	no	—
1161	C₂²×D₄	—	34	1	no	—
1162	C₂²×D₄	—	34	1	no	—
1163	C₂²×D₄	—	34	1	no	—
1164	C₂²×D₄	—	34	1	no	—
1165	C₂³×C₄	—	17	1	no	—
1166	C₂³×C₄	—	17	1	no	—
1167	C₂³×C₄	—	34	1	no	—
1168	C₂³×C₄	—	34	1	no	—
1169	C₂³×C₄	—	34	1	no	—
1170	AGL(1,ℤ/8)	—	34	4	no	—
1171	AGL(1,ℤ/8)	—	68	2	no	—
1172	AGL(1,ℤ/8)	—	68	2	no	—
1173	C₂×SD₁₆	—	17	1	no	—
1174	C₂×SD₁₆	—	17	1	no	—
1175	C₂×SD₁₆	—	17	1	no	—
1176	C₂×SD₁₆	—	17	1	no	—
1177	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1178	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1179	C₂×D₈	—	17	1	no	—
1180	C₂×D₈	—	17	1	no	—
1181	C₂×D₈	—	17	1	no	—
1182	C₂×D₈	—	17	1	no	—
1183	C₂×D₈	—	17	1	no	—
1184	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1185	C₂×M₁₆	—	17	1	no	—
1186	C₂×M₁₆	—	17	1	no	—
1187	C₂×M₁₆	—	17	1	no	—
1188	C₂×M₁₆	—	17	1	no	—
1189	C₂×M₁₆	—	17	1	no	—
1190	C₂×M₁₆	—	17	1	no	—
1191	C₂×M₁₆	—	17	1	no	—
1192	C₂×M₁₆	—	68	2	no	—
1193	C₂×M₁₆	—	68	2	no	—
1194	C₂×M₁₆	C₂²×D₁₇	1	1	yes	characteristic
1195	C₂²×C₈	—	17	1	no	—
1196	C₂²×C₈	—	17	1	no	—
1197	C₂²×C₈	—	17	1	no	—
1198	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1199	C₄⋊Q₈	—	17	1	no	—
1200	C₄⋊Q₈	—	17	1	no	—
1201	C₄⋊Q₈	—	17	1	no	—
1202	C₄⋊Q₈	—	17	1	no	—
1203	C₄⋊Q₈	—	34	1	no	—
1204	C₄⋊Q₈	—	34	1	no	—
1205	C₄⋊Q₈	—	34	1	no	—
1206	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1207	#127	—	17	1	no	—
1208	#127	—	34	1	no	—
1209	#124	—	2	1	no	—
1210	#124	—	2	1	no	—
1211	#124	—	2	1	no	—
1212	#124	—	17	1	no	—
1213	#124	—	34	1	no	—
1214	#124	—	34	1	no	—
1215	#124	—	34	1	no	—
1216	#124	—	34	1	no	—
1217	#124	—	34	1	no	—
1218	#124	—	34	1	no	—
1219	#124	—	34	1	no	—
1220	#124	—	34	1	no	—
1221	#124	—	34	1	no	—
1222	#124	—	34	1	no	—
1223	#124	—	34	1	no	—
1224	#124	—	34	1	no	—
1225	#124	—	34	1	no	—
1226	#124	—	34	1	no	—
1227	#124	—	34	1	no	—
1228	#124	C₂²×D₁₇	1	1	yes	characteristic
1229	#123	—	34	1	no	—
1230	#123	—	34	1	no	—
1231	#123	—	34	1	no	—
1232	#123	—	34	1	no	—
1233	#123	—	34	1	no	—
1234	#123	—	34	1	no	—
1235	C₂²⋊Q₈	—	2	1	no	—
1236	C₂²⋊Q₈	—	17	1	no	—
1237	C₂²⋊Q₈	—	17	1	no	—
1238	C₂²⋊Q₈	—	17	1	no	—
1239	C₂²⋊Q₈	—	34	1	no	—
1240	C₂²⋊Q₈	—	34	1	no	—
1241	C₂²⋊Q₈	—	34	1	no	—
1242	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	17	1	no	—
1246	#121	—	17	1	no	—
1247	#121	—	17	1	no	—
1248	#121	—	17	1	no	—
1249	#121	—	17	1	no	—
1250	#121	—	17	1	no	—
1251	#121	—	17	1	no	—
1252	#121	—	17	1	no	—
1253	#121	—	17	1	no	—
1254	#121	—	34	1	no	—
1255	#121	—	34	1	no	—
1256	#121	—	34	1	no	—
1257	#121	—	34	1	no	—
1258	#121	—	34	1	no	—
1259	#121	—	34	1	no	—
1260	#121	—	34	1	no	—
1261	#121	—	34	1	no	—
1262	#121	—	34	1	no	—
1263	#121	—	34	1	no	—
1264	#121	—	34	1	no	—
1265	#121	—	34	1	no	—
1266	#121	—	34	1	no	—
1267	#121	—	34	1	no	—
1268	#121	—	34	1	no	—
1269	#121	—	34	1	no	—
1270	#121	—	34	1	no	—
1271	#121	—	34	1	no	—
1272	#121	—	34	1	no	—
1273	#121	—	34	1	no	—
1274	#121	C₂²×D₁₇	1	1	yes	characteristic
1275	#121	C₂²×D₁₇	1	1	yes	characteristic
1276	#121	C₂²×D₁₇	1	1	yes	characteristic
1277	#120	—	34	1	no	—
1278	#120	—	34	1	no	—
1279	#120	—	34	1	no	—
1280	#120	—	34	1	no	—
1281	#120	—	34	1	no	—
1282	#120	—	34	1	no	—
1283	C₄×Q₈	—	17	1	no	—
1284	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1285	C₄×D₄	—	2	1	no	—
1286	C₄×D₄	—	17	1	no	—
1287	C₄×D₄	—	17	1	no	—
1288	C₄×D₄	—	17	1	no	—
1289	C₄×D₄	—	17	1	no	—
1290	C₄×D₄	—	17	1	no	—
1291	C₄×D₄	—	17	1	no	—
1292	C₄×D₄	—	17	1	no	—
1293	C₄×D₄	—	17	1	no	—
1294	C₄×D₄	—	17	1	no	—
1295	C₄×D₄	—	17	1	no	—
1296	C₄×D₄	—	17	1	no	—
1297	C₄×D₄	—	17	1	no	—
1298	C₄×D₄	—	34	1	no	—
1299	C₄×D₄	—	34	1	no	—
1300	C₄×D₄	—	34	1	no	—
1301	C₄×D₄	—	34	1	no	—
1302	C₄×D₄	—	34	1	no	—
1303	C₄×D₄	—	34	1	no	—
1304	C₄×D₄	—	34	1	no	—
1305	C₄×D₄	—	34	1	no	—
1306	C₄×D₄	—	34	1	no	—
1307	C₄×D₄	—	34	1	no	—
1308	C₄×D₄	—	34	1	no	—
1309	C₄×D₄	—	34	1	no	—
1310	C₄×D₄	—	34	1	no	—
1311	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1312	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1313	#117	—	2	1	no	—
1314	#117	—	17	1	no	—
1315	#117	—	17	1	no	—
1316	#117	—	17	1	no	—
1317	#117	—	17	1	no	—
1318	#117	—	17	1	no	—
1319	#117	—	17	1	no	—
1320	#117	—	17	1	no	—
1321	#117	—	34	1	no	—
1322	#117	—	34	1	no	—
1323	#117	—	34	1	no	—
1324	#117	—	34	1	no	—
1325	#117	—	34	1	no	—
1326	#117	—	34	1	no	—
1327	#117	—	34	1	no	—
1328	#117	—	34	1	no	—
1329	#117	—	34	1	no	—
1330	#117	—	34	1	no	—
1331	#117	—	34	1	no	—
1332	#117	—	34	1	no	—
1333	#117	C₂²×D₁₇	1	1	yes	characteristic
1334	#117	C₂²×D₁₇	1	1	yes	characteristic
1335	C₂×C₄⋊C₄	—	17	1	no	—
1336	C₂×C₄⋊C₄	—	17	1	no	—
1337	C₂×C₄⋊C₄	—	17	1	no	—
1338	C₂×C₄⋊C₄	—	17	1	no	—
1339	C₂×C₄⋊C₄	—	34	1	no	—
1340	C₂×C₄⋊C₄	—	34	1	no	—
1341	C₂×C₂²⋊C₄	—	17	1	no	—
1342	C₂×C₂²⋊C₄	—	17	1	no	—
1343	C₂×C₂²⋊C₄	—	34	1	no	—
1344	C₂×C₂²⋊C₄	—	34	1	no	—
1345	C₂×C₂²⋊C₄	—	34	1	no	—
1346	C₂×C₂²⋊C₄	—	34	1	no	—
1347	C₂×C₂²⋊C₄	—	34	1	no	—
1348	C₂×C₂²⋊C₄	—	34	1	no	—
1349	C₂×C₂²⋊C₄	—	34	1	no	—
1350	C₂×C₄²	—	17	1	no	—
1351	C₂×C₄²	—	34	1	no	—
1352	C₂×C₄²	—	34	1	no	—
1353	C₂×C₄²	—	34	1	no	—
1354	#107	—	17	1	no	—
1355	#107	—	17	1	no	—
1356	#107	—	17	1	no	—
1357	#107	—	17	1	no	—
1358	#107	—	17	1	no	—
1359	#107	C₂²×D₁₇	1	1	yes	characteristic
1360	#106	—	17	1	no	—
1361	#106	—	17	1	no	—
1362	#106	—	17	1	no	—
1363	#106	—	17	1	no	—
1364	#106	C₂²×D₁₇	1	1	yes	characteristic
1365	#106	C₂²×D₁₇	1	1	yes	characteristic
1366	C₄⋊C₈	—	17	1	no	—
1367	C₄⋊C₈	—	17	1	no	—
1368	C₄⋊C₈	—	17	1	no	—
1369	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1370	#103	—	17	1	no	—
1371	#103	—	17	1	no	—
1372	#103	—	17	1	no	—
1373	#103	—	17	1	no	—
1374	#103	—	17	1	no	—
1375	#103	—	17	1	no	—
1376	#103	—	17	1	no	—
1377	#103	—	17	1	no	—
1378	#103	—	17	1	no	—
1379	#103	—	17	1	no	—
1380	#103	—	17	1	no	—
1381	#103	—	17	1	no	—
1382	#103	C₂²×D₁₇	1	1	yes	characteristic
1383	#103	C₂²×D₁₇	1	1	yes	characteristic
1384	#103	C₂²×D₁₇	1	1	yes	characteristic
1385	#103	C₂²×D₁₇	1	1	yes	characteristic
1386	#103	C₂²×D₁₇	1	1	yes	characteristic
1387	#103	C₂²×D₁₇	1	1	yes	characteristic
1388	#102	—	17	1	no	—
1389	#102	—	17	1	no	—
1390	#102	—	17	1	no	—
1391	#102	—	17	1	no	—
1392	#102	—	17	1	no	—
1393	#102	—	17	1	no	—
1394	#102	—	17	1	no	—
1395	#102	—	17	1	no	—
1396	#102	—	17	1	no	—
1397	#102	—	17	1	no	—
1398	#102	—	17	1	no	—
1399	#102	—	17	1	no	—
1400	#102	—	17	1	no	—
1401	#102	—	17	1	no	—
1402	#102	—	17	1	no	—
1403	#102	—	17	1	no	—
1404	#102	—	17	1	no	—
1405	#102	—	17	1	no	—
1406	#102	C₂²×D₁₇	1	1	yes	characteristic
1407	#102	C₂²×D₁₇	1	1	yes	characteristic
1408	#102	C₂²×D₁₇	1	1	yes	characteristic
1409	#102	C₂²×D₁₇	1	1	yes	characteristic
1410	C₂²⋊C₈	—	17	1	no	—
1411	C₂²⋊C₈	—	17	1	no	—
1412	C₂²⋊C₈	—	17	1	no	—
1413	C₂²⋊C₈	—	17	1	no	—
1414	C₂²⋊C₈	—	17	1	no	—
1415	C₂²⋊C₈	—	17	1	no	—
1416	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1418	#97	—	17	1	no	—
1419	#97	C₂²×D₁₇	1	1	yes	characteristic
1420	C₄×C₈	—	17	1	no	—
1421	C₄×C₈	—	17	1	no	—
1422	C₁₇	#61166	1	1	yes	characteristic, complemented, Sylow
1423	C₂⁴	—	17	1	no	—
1424	C₂⁴	—	17	1	no	—
1425	C₂⁴	—	34	1	no	—
1426	C₂⁴	—	34	1	no	—
1427	C₂⁴	—	34	1	no	—
1428	#41	—	2	2	no	—
1429	#41	—	4	1	no	—
1430	#41	—	17	4	no	—
1431	#41	—	34	2	no	—
1432	#41	—	34	2	no	—
1433	#41	—	34	2	no	—
1434	#41	—	34	2	no	—
1435	#41	—	34	2	no	—
1436	#41	—	34	2	no	—
1437	#41	—	34	2	no	—
1438	#41	—	34	2	no	—
1439	#41	—	68	1	no	—
1440	#41	—	68	4	no	—
1441	#41	—	68	4	no	—
1442	#41	—	68	4	no	—
1443	#41	—	68	1	no	—
1444	#41	—	68	1	no	—
1445	#41	—	68	4	no	—
1446	C₂×Q₈	—	2	1	no	—
1447	C₂×Q₈	—	2	1	no	—
1448	C₂×Q₈	—	2	2	no	—
1449	C₂×Q₈	—	4	1	no	—
1450	C₂×Q₈	—	17	1	no	—
1451	C₂×Q₈	—	34	1	no	—
1452	C₂×Q₈	—	34	1	no	—
1453	C₂×Q₈	—	34	1	no	—
1454	C₂×Q₈	—	34	1	no	—
1455	C₂×Q₈	—	34	2	no	—
1456	C₂×Q₈	—	68	1	no	—
1457	C₂×Q₈	—	136	2	no	—
1458	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1459	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	17	1	no	—
1465	C₂×D₄	—	17	1	no	—
1466	C₂×D₄	—	17	1	no	—
1467	C₂×D₄	—	17	1	no	—
1468	C₂×D₄	—	17	1	no	—
1469	C₂×D₄	—	17	1	no	—
1470	C₂×D₄	—	34	2	no	—
1471	C₂×D₄	—	34	1	no	—
1472	C₂×D₄	—	34	1	no	—
1473	C₂×D₄	—	34	1	no	—
1474	C₂×D₄	—	34	1	no	—
1475	C₂×D₄	—	34	1	no	—
1476	C₂×D₄	—	34	1	no	—
1477	C₂×D₄	—	34	1	no	—
1478	C₂×D₄	—	34	2	no	—
1479	C₂×D₄	—	34	2	no	—
1480	C₂×D₄	—	34	1	no	—
1481	C₂×D₄	—	34	1	no	—
1482	C₂×D₄	—	34	1	no	—
1483	C₂×D₄	—	34	1	no	—
1484	C₂×D₄	—	34	2	no	—
1485	C₂×D₄	—	34	1	no	—
1486	C₂×D₄	—	34	1	no	—
1487	C₂×D₄	—	34	1	no	—
1488	C₂×D₄	—	34	1	no	—
1489	C₂×D₄	—	34	1	no	—
1490	C₂×D₄	—	34	1	no	—
1491	C₂×D₄	—	34	1	no	—
1492	C₂×D₄	—	34	1	no	—
1493	C₂×D₄	—	34	1	no	—
1494	C₂×D₄	—	68	1	no	—
1495	C₂×D₄	—	68	4	no	—
1496	C₂×D₄	—	68	1	no	—
1497	C₂×D₄	—	68	2	no	—
1498	C₂×D₄	—	68	4	no	—
1499	C₂×D₄	—	68	4	no	—
1500	C₂×D₄	—	136	2	no	—
1501	C₂×D₄	—	136	2	no	—
1502	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1503	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1504	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	17	1	no	—
1509	C₂²×C₄	—	17	1	no	—
1510	C₂²×C₄	—	17	1	no	—
1511	C₂²×C₄	—	17	1	no	—
1512	C₂²×C₄	—	17	1	no	—
1513	C₂²×C₄	—	17	1	no	—
1514	C₂²×C₄	—	17	1	no	—
1515	C₂²×C₄	—	17	1	no	—
1516	C₂²×C₄	—	17	1	no	—
1517	C₂²×C₄	—	17	1	no	—
1518	C₂²×C₄	—	17	1	no	—
1519	C₂²×C₄	—	34	1	no	—
1520	C₂²×C₄	—	34	2	no	—
1521	C₂²×C₄	—	34	2	no	—
1522	C₂²×C₄	—	34	2	no	—
1523	C₂²×C₄	—	34	2	no	—
1524	C₂²×C₄	—	34	1	no	—
1525	C₂²×C₄	—	34	1	no	—
1526	C₂²×C₄	—	34	1	no	—
1527	C₂²×C₄	—	34	1	no	—
1528	C₂²×C₄	—	34	1	no	—
1529	C₂²×C₄	—	34	1	no	—
1530	C₂²×C₄	—	34	1	no	—
1531	C₂²×C₄	—	34	1	no	—
1532	C₂²×C₄	—	34	1	no	—
1533	C₂²×C₄	—	34	1	no	—
1534	C₂²×C₄	—	34	1	no	—
1535	C₂²×C₄	—	34	1	no	—
1536	C₂²×C₄	—	34	1	no	—
1537	C₂²×C₄	—	34	1	no	—
1538	C₂²×C₄	—	68	4	no	—
1539	C₂²×C₄	—	68	4	no	—
1540	C₂²×C₄	—	68	4	no	—
1541	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1542	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1543	SD₁₆	—	2	2	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	34	2	no	—
1546	SD₁₆	—	68	1	no	—
1547	SD₁₆	—	68	1	no	—
1548	SD₁₆	—	68	1	no	—
1549	D₈	—	4	1	no	—
1550	D₈	—	34	2	no	—
1551	D₈	—	34	2	no	—
1552	D₈	—	68	1	no	—
1553	D₈	—	68	1	no	—
1554	D₈	—	68	1	no	—
1555	M₁₆	—	4	1	no	—
1556	M₁₆	—	34	2	no	—
1557	M₁₆	—	34	2	no	—
1558	M₁₆	—	34	2	no	—
1559	M₁₆	—	34	2	no	—
1560	M₁₆	—	68	1	no	—
1561	M₁₆	—	68	1	no	—
1562	M₁₆	—	68	1	no	—
1563	C₂×C₈	—	4	1	no	—
1564	C₂×C₈	—	17	1	no	—
1565	C₂×C₈	—	17	1	no	—
1566	C₂×C₈	—	17	1	no	—
1567	C₂×C₈	—	17	1	no	—
1568	C₂×C₈	—	68	1	no	—
1569	C₂×C₈	—	68	1	no	—
1570	C₂×C₈	—	68	1	no	—
1571	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1572	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1573	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	17	1	no	—
1579	C₄⋊C₄	—	17	1	no	—
1580	C₄⋊C₄	—	17	1	no	—
1581	C₄⋊C₄	—	17	1	no	—
1582	C₄⋊C₄	—	17	1	no	—
1583	C₄⋊C₄	—	17	1	no	—
1584	C₄⋊C₄	—	17	1	no	—
1585	C₄⋊C₄	—	34	1	no	—
1586	C₄⋊C₄	—	34	1	no	—
1587	C₄⋊C₄	—	34	1	no	—
1588	C₄⋊C₄	—	34	1	no	—
1589	C₄⋊C₄	—	34	1	no	—
1590	C₄⋊C₄	—	34	1	no	—
1591	C₄⋊C₄	—	34	1	no	—
1592	C₄⋊C₄	—	34	1	no	—
1593	C₄⋊C₄	—	34	1	no	—
1594	C₄⋊C₄	—	34	1	no	—
1595	C₄⋊C₄	—	34	1	no	—
1596	C₄⋊C₄	—	34	1	no	—
1597	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1598	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1599	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1600	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1601	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	17	1	no	—
1612	C₂²⋊C₄	—	17	1	no	—
1613	C₂²⋊C₄	—	17	1	no	—
1614	C₂²⋊C₄	—	17	1	no	—
1615	C₂²⋊C₄	—	17	1	no	—
1616	C₂²⋊C₄	—	17	1	no	—
1617	C₂²⋊C₄	—	34	1	no	—
1618	C₂²⋊C₄	—	34	1	no	—
1619	C₂²⋊C₄	—	34	1	no	—
1620	C₂²⋊C₄	—	34	1	no	—
1621	C₂²⋊C₄	—	34	1	no	—
1622	C₂²⋊C₄	—	34	1	no	—
1623	C₂²⋊C₄	—	34	1	no	—
1624	C₂²⋊C₄	—	34	1	no	—
1625	C₂²⋊C₄	—	34	1	no	—
1626	C₂²⋊C₄	—	34	1	no	—
1627	C₂²⋊C₄	—	34	1	no	—
1628	C₂²⋊C₄	—	34	1	no	—
1629	C₂²⋊C₄	—	34	1	no	—
1630	C₂²⋊C₄	—	34	1	no	—
1631	C₂²⋊C₄	—	34	1	no	—
1632	C₂²⋊C₄	—	34	1	no	—
1633	C₂²⋊C₄	—	34	1	no	—
1634	C₂²⋊C₄	—	34	1	no	—
1635	C₂²⋊C₄	—	34	1	no	—
1636	C₂²⋊C₄	—	34	1	no	—
1637	C₂²⋊C₄	—	34	1	no	—
1638	C₂²⋊C₄	—	34	1	no	—
1639	C₂²⋊C₄	—	34	1	no	—
1640	C₂²⋊C₄	—	34	1	no	—
1641	C₂²⋊C₄	—	34	1	no	—
1642	C₂²⋊C₄	—	34	1	no	—
1643	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1644	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1645	C₄²	—	2	1	no	—
1646	C₄²	—	2	1	no	—
1647	C₄²	—	2	1	no	—
1648	C₄²	—	17	1	no	—
1649	C₄²	—	17	1	no	—
1650	C₄²	—	17	1	no	—
1651	C₄²	—	34	1	no	—
1652	C₄²	—	34	1	no	—
1653	C₄²	—	34	1	no	—
1654	C₄²	—	34	1	no	—
1655	C₄²	—	34	1	no	—
1656	C₄²	—	34	1	no	—
1657	C₄²	—	34	1	no	—
1658	C₄²	—	34	1	no	—
1659	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	17	1	no	—
1663	C₂³	—	17	1	no	—
1664	C₂³	—	17	1	no	—
1665	C₂³	—	34	2	no	—
1666	C₂³	—	34	2	no	—
1667	C₂³	—	34	1	no	—
1668	C₂³	—	34	1	no	—
1669	C₂³	—	34	1	no	—
1670	C₂³	—	68	1	no	—
1671	C₂³	—	68	1	no	—
1672	C₂³	—	68	1	no	—
1673	C₂³	—	68	1	no	—
1674	C₂³	—	68	2	no	—
1675	C₂³	—	68	2	no	—
1676	C₂³	—	68	2	no	—
1677	C₂³	—	68	2	no	—
1678	C₂³	—	68	2	no	—
1679	C₂³	—	68	2	no	—
1680	C₂³	—	68	2	no	—
1681	C₂³	—	136	1	no	—
1682	C₂³	—	136	1	no	—
1683	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1684	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	4	2	no	—
1689	Q₈	—	8	1	no	—
1690	Q₈	—	34	1	no	—
1691	Q₈	—	34	1	no	—
1692	Q₈	—	68	2	no	—
1693	Q₈	—	136	1	no	—
1694	Q₈	—	136	1	no	—
1695	Q₈	—	136	1	no	—
1696	Q₈	#41×D₁₇	1	2	yes	—
1697	D₄	—	2	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	17	2	no	—
1707	D₄	—	34	4	no	—
1708	D₄	—	34	2	no	—
1709	D₄	—	34	2	no	—
1710	D₄	—	34	1	no	—
1711	D₄	—	34	1	no	—
1712	D₄	—	34	1	no	—
1713	D₄	—	34	1	no	—
1714	D₄	—	34	1	no	—
1715	D₄	—	68	1	no	—
1716	D₄	—	68	2	no	—
1717	D₄	—	68	2	no	—
1718	D₄	—	68	2	no	—
1719	D₄	—	68	2	no	—
1720	D₄	—	68	2	no	—
1721	D₄	—	68	2	no	—
1722	D₄	—	68	2	no	—
1723	D₄	—	68	2	no	—
1724	D₄	—	68	2	no	—
1725	D₄	—	68	2	no	—
1726	D₄	—	136	1	no	—
1727	D₄	—	136	1	no	—
1728	D₄	—	136	1	no	—
1729	D₄	—	136	1	no	—
1730	D₄	—	136	1	no	—
1731	D₄	—	136	1	no	—
1732	D₄	—	136	1	no	—
1733	D₄	—	136	1	no	—
1734	D₄	—	136	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	17	1	no	—
1749	C₂×C₄	—	17	1	no	—
1750	C₂×C₄	—	17	2	no	—
1751	C₂×C₄	—	17	2	no	—
1752	C₂×C₄	—	17	1	no	—
1753	C₂×C₄	—	17	1	no	—
1754	C₂×C₄	—	17	1	no	—
1755	C₂×C₄	—	34	2	no	—
1756	C₂×C₄	—	34	2	no	—
1757	C₂×C₄	—	34	2	no	—
1758	C₂×C₄	—	34	4	no	—
1759	C₂×C₄	—	34	2	no	—
1760	C₂×C₄	—	34	2	no	—
1761	C₂×C₄	—	34	2	no	—
1762	C₂×C₄	—	34	2	no	—
1763	C₂×C₄	—	34	1	no	—
1764	C₂×C₄	—	34	1	no	—
1765	C₂×C₄	—	34	1	no	—
1766	C₂×C₄	—	34	1	no	—
1767	C₂×C₄	—	34	1	no	—
1768	C₂×C₄	—	34	1	no	—
1769	C₂×C₄	—	34	1	no	—
1770	C₂×C₄	—	34	1	no	—
1771	C₂×C₄	—	34	1	no	—
1772	C₂×C₄	—	68	1	no	—
1773	C₂×C₄	—	68	2	no	—
1774	C₂×C₄	—	68	2	no	—
1775	C₂×C₄	—	68	2	no	—
1776	C₂×C₄	—	68	2	no	—
1777	C₂×C₄	—	68	2	no	—
1778	C₂×C₄	—	68	2	no	—
1779	C₂×C₄	—	68	2	no	—
1780	C₂×C₄	—	68	2	no	—
1781	C₂×C₄	—	68	2	no	—
1782	C₂×C₄	—	68	2	no	—
1783	C₂×C₄	—	68	2	no	—
1784	C₂×C₄	—	68	2	no	—
1785	C₂×C₄	—	68	2	no	—
1786	C₂×C₄	—	136	1	no	—
1787	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1788	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1790	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	34	1	no	—
1797	C₈	—	34	1	no	—
1798	C₈	—	34	1	no	—
1799	C₈	—	34	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	17	2	no	—
1813	C₂²	—	34	1	no	—
1814	C₂²	—	34	1	no	—
1815	C₂²	—	34	1	no	—
1816	C₂²	—	34	1	no	—
1817	C₂²	—	34	2	no	—
1818	C₂²	—	34	1	no	—
1819	C₂²	—	34	1	no	—
1820	C₂²	—	34	1	no	—
1821	C₂²	—	34	1	no	—
1822	C₂²	—	68	1	no	—
1823	C₂²	—	68	1	no	—
1824	C₂²	—	68	1	no	—
1825	C₂²	—	68	1	no	—
1826	C₂²	—	68	1	no	—
1827	C₂²	—	68	1	no	—
1828	C₂²	—	68	1	no	—
1829	C₂²	—	68	1	no	—
1830	C₂²	—	136	2	no	—
1831	C₂²	—	136	2	no	—
1832	C₂²	—	136	4	no	—
1833	C₂²	—	136	4	no	—
1834	C₂²	—	136	4	no	—
1835	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	2	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	17	2	no	—
1847	C₄	—	17	2	no	—
1848	C₄	—	34	1	no	—
1849	C₄	—	34	1	no	—
1850	C₄	—	34	1	no	—
1851	C₄	—	68	1	no	—
1852	C₄	—	68	1	no	—
1853	C₄	—	68	1	no	—
1854	C₄	—	68	1	no	—
1855	C₄	—	68	1	no	—
1856	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1857	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	34	2	no	—
1863	C₂	—	68	1	no	—
1864	C₂	—	68	1	no	—
1865	C₂	—	68	2	no	—
1866	C₂	—	136	1	no	—
1867	C₂	—	136	1	no	—
1868	C₂	D₁₇×#546	1	1	yes	characteristic
1869	C₂	D₁₇×#575	1	1	yes	characteristic
1870	C₂	#14543562	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×#3321	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3321	D₁₇
hypocenter	C₁₇	#61166
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3321

Complements

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

N	H ≅ G/N	type
1. D₁₇×#555	C₂	semidirect
2. #14542273	C₂	semidirect
3. #14541074	C₂	semidirect
4. #14541071	C₂	semidirect
5. #14541024	C₂	semidirect
6. #14541021	C₂	semidirect
7. #14540975	C₂	semidirect
8. #14540970	C₂	semidirect
9. #14540967	C₂	semidirect
10. #14540947	C₂	semidirect
11. #14540942	C₂	semidirect
12. #14540939	C₂	semidirect
13. #14540934	C₂	semidirect
14. #14540730	C₂	semidirect
15. #14540727	C₂	semidirect
16. #14540710	C₂	semidirect
17. #14540707	C₂	semidirect
18. #14539176	C₂	semidirect
19. #14538716	C₂	semidirect
20. #14538712	C₂	semidirect
21. #14538594	C₂	semidirect
22. #14538402	C₂	semidirect
23. #14538396	C₂	semidirect
24. #14538246	C₂	semidirect
25. #14538035	C₂	semidirect
26. #14538033	C₂	semidirect
27. #14537589	C₂	semidirect
28. #14537517	C₂	semidirect
29. #14537302	C₂	semidirect
30. #14537299	C₂	semidirect
31. C₁₇×#3321	C₂	semidirect
35. C₂×#10587600	C₂²	semidirect
36. C₂×#10587597	C₂²	semidirect
37. C₂²×#63218	C₂²	semidirect
38. C₂×M₁₆×D₁₇	C₂²	semidirect
39. #11763525	C₂²	semidirect
40. #11763524	C₂²	semidirect
41. #11763524	C₂²	semidirect
44. #11763523	C₂²	semidirect
47. #11763522	C₂²	semidirect
50. #11763478	C₂²	semidirect
51. Q₈×C₂²⋊D₁₇	C₂²	semidirect
52. #11763471	C₂²	semidirect
54. #11763461	C₂²	semidirect
56. #11763455	C₂²	semidirect
58. #11763452	C₂²	semidirect
60. #11763443	C₂²	semidirect
63. C₄⋊Q₈×D₁₇	C₂²	semidirect
71. #121×D₁₇	C₂²	semidirect
72. #121×D₁₇	C₂²	semidirect
76. C₄×D₄×D₁₇	C₂²	semidirect
78. #117×D₁₇	C₂²	semidirect
79. #117×D₁₇	C₂²	semidirect
80. #11763171	C₂²	semidirect
81. #11763169	C₂²	semidirect
82. #11763168	C₂²	semidirect
83. #11763158	C₂²	semidirect
84. #11763158	C₂²	semidirect
85. #11763154	C₂²	semidirect
86. #11763154	C₂²	semidirect
87. #11763153	C₂²	semidirect
88. #11763152	C₂²	semidirect
89. #11763151	C₂²	semidirect
90. #11763150	C₂²	semidirect
91. #11763149	C₂²	semidirect
92. #11763148	C₂²	semidirect
93. #11763147	C₂²	semidirect
94. #11763136	C₂²	semidirect
95. #11763135	C₂²	semidirect
96. #11763134	C₂²	semidirect
97. #11763133	C₂²	semidirect
98. #11763132	C₂²	semidirect
99. #11763131	C₂²	semidirect
100. #11763130	C₂²	semidirect
101. #11763102	C₂²	semidirect
102. #11763102	C₂²	semidirect
103. #11763098	C₂²	semidirect
104. #11763098	C₂²	semidirect
105. #11763094	C₂²	semidirect
106. #11763090	C₂²	semidirect
107. #11763086	C₂²	semidirect
108. #11763063	C₂²	semidirect
109. #11763061	C₂²	semidirect
110. #11763060	C₂²	semidirect
111. #11763058	C₂²	semidirect
112. #11763055	C₂²	semidirect
113. #11763053	C₂²	semidirect
114. #11763052	C₂²	semidirect
115. #11763045	C₂²	semidirect
116. #11763044	C₂²	semidirect
117. #11763043	C₂²	semidirect
118. #11763042	C₂²	semidirect
119. #11763040	C₂²	semidirect
120. #11763039	C₂²	semidirect
121. #11763037	C₂²	semidirect
122. #11763025	C₂²	semidirect
123. #11763024	C₂²	semidirect
124. #11763021	C₂²	semidirect
125. #11763013	C₂²	semidirect
126. #11763012	C₂²	semidirect
127. #11763003	C₂²	semidirect
128. #11763002	C₂²	semidirect
129. #11762957	C₂²	semidirect
130. #11762957	C₂²	semidirect
131. #11762956	C₂²	semidirect
132. #11762954	C₂²	semidirect
133. #11762953	C₂²	semidirect
134. #11762953	C₂²	semidirect
135. #11762952	C₂²	semidirect
136. #11762949	C₂²	semidirect
137. #11762948	C₂²	semidirect
138. #11762946	C₂²	semidirect
139. #11762945	C₂²	semidirect
140. #11762944	C₂²	semidirect
141. #11762942	C₂²	semidirect
142. #11762941	C₂²	semidirect
143. #11762922	C₂²	semidirect
144. #11762919	C₂²	semidirect
145. #11762907	C₂²	semidirect
146. SD₁₆×Dic₁₇	C₂²	semidirect
147. #11762894	C₂²	semidirect
148. #11762891	C₂²	semidirect
149. #11762889	C₂²	semidirect
150. #11762885	C₂²	semidirect
151. #11762884	C₂²	semidirect
152. #11762882	C₂²	semidirect
153. #11762881	C₂²	semidirect
154. #11762879	C₂²	semidirect
155. C₈×C₂²⋊D₁₇	C₂²	semidirect
156. #11762872	C₂²	semidirect
157. #11762850	C₂²	semidirect
158. #11762848	C₂²	semidirect
159. #11762848	C₂²	semidirect
160. #11762831	C₂²	semidirect
161. #11762818	C₂²	semidirect
162. #11762816	C₂²	semidirect
163. #11762816	C₂²	semidirect
164. #11762815	C₂²	semidirect
165. #11762813	C₂²	semidirect
166. #11762812	C₂²	semidirect
167. #11762812	C₂²	semidirect
168. #11762812	C₂²	semidirect
172. #11762809	C₂²	semidirect
173. #11762809	C₂²	semidirect
174. #11762809	C₂²	semidirect
175. #11762807	C₂²	semidirect
176. #11762807	C₂²	semidirect
177. #11762807	C₂²	semidirect
178. #11762806	C₂²	semidirect
179. #11762805	C₂²	semidirect
180. #11762804	C₂²	semidirect
181. #11762804	C₂²	semidirect
182. #11762804	C₂²	semidirect
183. #11762804	C₂²	semidirect
184. #11762803	C₂²	semidirect
185. #11762771	C₂²	semidirect
186. #11762771	C₂²	semidirect
187. #11762761	C₂²	semidirect
188. C₁₇×#555	C₂²	semidirect
189. C₁₇×#548	C₂²	semidirect
190. C₁₇×#489	C₂²	semidirect
191. C₁₇×#485	C₂²	semidirect
192. C₁₇×#482	C₂²	semidirect
193. C₁₇×#475	C₂²	semidirect
194. C₁₇×#469	C₂²	semidirect
195. C₁₇×#465	C₂²	semidirect
196. C₁₇×#463	C₂²	semidirect
197. C₁₇×#449	C₂²	semidirect
198. C₁₇×#448	C₂²	semidirect
199. C₁₇×#440	C₂²	semidirect
200. C₁₇×#435	C₂²	semidirect
201. C₁₇×#419	C₂²	semidirect
202. C₁₇×#416	C₂²	semidirect
874. #3321	D₁₇	semidirect
972. #555	C₂×D₁₇	semidirect
976. #548	C₂×D₁₇	semidirect
1007. #489	C₂×D₁₇	semidirect
1019. #485	C₂×D₁₇	semidirect
1027. #482	C₂×D₁₇	semidirect
1033. #475	C₂×D₁₇	semidirect
1039. #469	C₂×D₁₇	semidirect
1051. #465	C₂×D₁₇	semidirect
1055. #463	C₂×D₁₇	semidirect
1067. #449	C₂×D₁₇	semidirect
1071. #448	C₂×D₁₇	semidirect
1079. #440	C₂×D₁₇	semidirect
1089. #435	C₂×D₁₇	semidirect
1099. #419	C₂×D₁₇	semidirect
1121. #416	C₂×D₁₇	semidirect
1422. C₁₇	#61166	semidirect

Maximal subgroups

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

subgroup	index
D₁₇×#555	2
#14542273	2
#14541074	2
#14541071	2
#14541024	2
#14541021	2
#14540975	2
#14540970	2
#14540967	2
#14540947	2
#14540942	2
#14540939	2
#14540934	2
#14540730	2
#14540727	2
#14540710	2
#14540707	2
#14539176	2
#14538716	2
#14538712	2
#14538594	2
#14538402	2
#14538396	2
#14538246	2
#14538035	2
#14538033	2
#14537589	2
#14537517	2
#14537302	2
#14537299	2
C₁₇×#3321	2
#61166	17