Subgroups — #17919022

Order 4352.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542611	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#14540641	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540639	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540629	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540627	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540625	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540623	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540621	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540619	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540497	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540494	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540490	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540485	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540469	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540465	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540462	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539747	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539744	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539555	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539547	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539544	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539538	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538830	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538829	C₂	1	1	yes	maximal, characteristic, complemented
26	#14537999	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537998	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11762941	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537805	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3280	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587602	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587598	C₂²	1	1	yes	characteristic, complemented
37	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#63228	C₂²	1	1	yes	characteristic, complemented
40	#11763509	C₂²	1	1	yes	characteristic, complemented
41	#11763506	—	2	1	no	—
42	#11763506	C₂²	1	1	yes	characteristic, complemented
43	#11763504	—	2	1	no	—
44	#11763501	C₂²	1	1	yes	characteristic, complemented
45	#11763499	C₂²	1	1	yes	characteristic, complemented
46	#11763490	—	2	1	no	—
47	#11763485	—	2	1	no	—
48	#11763467	C₂²	1	1	yes	characteristic, complemented
49	#11763466	C₂²	1	1	yes	characteristic, complemented
50	#11763456	C₂²	1	1	yes	characteristic, complemented
51	#11763455	C₂²	1	1	yes	characteristic
52	#11763454	C₂²	1	1	yes	characteristic, complemented
53	#11763453	C₂²	1	1	yes	characteristic
54	#11763453	C₂²	1	1	yes	characteristic, complemented
55	#11763452	C₂²	1	1	yes	characteristic, complemented
56	#11763451	—	2	1	no	—
57	#11763450	C₂²	1	1	yes	characteristic
58	#11763449	—	2	1	no	—
59	#11763448	—	2	1	no	—
60	#11763447	C₂²	1	1	yes	characteristic, complemented
61	#11763446	—	2	1	no	—
62	#11763402	—	2	1	no	—
63	#11763391	—	2	1	no	—
64	#11763369	—	2	1	no	—
65	#11763341	C₂²	1	1	yes	characteristic, complemented
66	#11763338	C₂²	1	1	yes	characteristic, complemented
67	#124×D₁₇	C₂²	1	1	yes	characteristic, complemented
68	#11763319	C₂²	1	1	yes	characteristic, complemented
69	#11763316	C₂²	1	1	yes	characteristic, complemented
70	#123×D₁₇	—	2	1	no	—
71	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
72	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
73	C₂×#10587624	C₂²	1	1	yes	characteristic
74	#121×D₁₇	—	2	1	no	—
75	#121×D₁₇	C₂²	1	1	yes	characteristic, complemented
76	#120×D₁₇	—	2	1	no	—
77	#11763282	—	2	1	no	—
78	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
79	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
81	#11763192	C₂²	1	1	yes	characteristic, complemented
82	#11763191	C₂²	1	1	yes	characteristic, complemented
83	#11763190	C₂²	1	1	yes	characteristic, complemented
84	#11763165	C₂²	1	1	yes	characteristic, complemented
85	#11763164	C₂²	1	1	yes	characteristic, complemented
86	#11763163	C₂²	1	1	yes	characteristic, complemented
87	#11763162	C₂²	1	1	yes	characteristic, complemented
88	#11763146	C₂²	1	1	yes	characteristic, complemented
89	#11763146	C₂²	1	1	yes	characteristic, complemented
90	#11763143	C₂²	1	1	yes	characteristic, complemented
91	#11763143	C₂²	1	1	yes	characteristic, complemented
92	#11763140	C₂²	1	1	yes	characteristic, complemented
93	#11763137	C₂²	1	1	yes	characteristic, complemented
94	#11763136	C₂²	1	1	yes	characteristic, complemented
95	#11763134	C₂²	1	1	yes	characteristic, complemented
96	#11763132	C₂²	1	1	yes	characteristic, complemented
97	#11763130	C₂²	1	1	yes	characteristic, complemented
98	#11763126	C₂²	1	1	yes	characteristic, complemented
99	#11763126	C₂²	1	1	yes	characteristic, complemented
100	#11763112	C₂²	1	1	yes	characteristic, complemented
101	#11763111	C₂²	1	1	yes	characteristic, complemented
102	#11763110	C₂²	1	1	yes	characteristic, complemented
103	#11763109	C₂²	1	1	yes	characteristic, complemented
104	#11763050	C₂²	1	1	yes	characteristic, complemented
105	#11763048	C₂²	1	1	yes	characteristic, complemented
106	#11763048	C₂²	1	1	yes	characteristic, complemented
107	#11763044	C₂²	1	1	yes	characteristic, complemented
108	#11763043	C₂²	1	1	yes	characteristic, complemented
109	#11763042	C₂²	1	1	yes	characteristic, complemented
110	#11763041	C₂²	1	1	yes	characteristic, complemented
111	#11763038	C₂²	1	1	yes	characteristic, complemented
112	#11763037	C₂²	1	1	yes	characteristic, complemented
113	#11763037	C₂²	1	1	yes	characteristic, complemented
114	#11763036	C₂²	1	1	yes	characteristic, complemented
115	#11763035	C₂²	1	1	yes	characteristic, complemented
116	#11763035	C₂²	1	1	yes	characteristic, complemented
117	#11763035	C₂²	1	1	yes	characteristic, complemented
118	#11763033	C₂²	1	1	yes	characteristic, complemented
119	#11763032	C₂²	1	1	yes	characteristic, complemented
120	#11763029	C₂²	1	1	yes	characteristic, complemented
121	#11763028	C₂²	1	1	yes	characteristic, complemented
122	#11763026	C₂²	1	1	yes	characteristic, complemented
123	#11763024	C₂²	1	1	yes	characteristic, complemented
124	#11763023	C₂²	1	1	yes	characteristic, complemented
125	#11763022	C₂²	1	1	yes	characteristic, complemented
126	#11763022	C₂²	1	1	yes	characteristic, complemented
127	#11763021	C₂²	1	1	yes	characteristic, complemented
128	#11762973	C₂²	1	1	yes	characteristic, complemented
129	#11762971	C₂²	1	1	yes	characteristic, complemented
130	#11762970	C₂²	1	1	yes	characteristic, complemented
131	#11762968	C₂²	1	1	yes	characteristic, complemented
132	#11762966	C₂²	1	1	yes	characteristic, complemented
133	#11762966	C₂²	1	1	yes	characteristic, complemented
134	#11762963	C₂²	1	1	yes	characteristic, complemented
135	#11762963	C₂²	1	1	yes	characteristic, complemented
136	#11762962	C₂²	1	1	yes	characteristic, complemented
137	#11762961	C₂²	1	1	yes	characteristic, complemented
138	#11762961	C₂²	1	1	yes	characteristic, complemented
139	#11762960	C₂²	1	1	yes	characteristic, complemented
140	#11762960	C₂²	1	1	yes	characteristic, complemented
141	#11762959	C₂²	1	1	yes	characteristic, complemented
142	#11762958	C₂²	1	1	yes	characteristic, complemented
143	#11762958	C₂²	1	1	yes	characteristic, complemented
144	#11762955	C₂²	1	1	yes	characteristic, complemented
145	#11762954	C₂²	1	1	yes	characteristic, complemented
146	#11762953	C₂²	1	1	yes	characteristic, complemented
147	#11762952	C₂²	1	1	yes	characteristic, complemented
148	#11762951	C₂²	1	1	yes	characteristic, complemented
149	#11762951	C₂²	1	1	yes	characteristic, complemented
150	#11762946	C₂²	1	1	yes	characteristic, complemented
151	#11762946	C₂²	1	1	yes	characteristic, complemented
152	#11762941	C₂²	1	1	yes	characteristic
153	#11762941	C₂²	1	1	yes	characteristic
154	#11762941	C₂²	1	1	yes	characteristic
155	#11762941	C₂²	1	1	yes	characteristic
156	#11762941	C₂²	1	1	yes	characteristic, complemented
157	#11762941	C₂²	1	1	yes	characteristic, complemented
158	#11762941	C₂²	1	1	yes	characteristic, complemented
159	#11762941	C₂²	1	1	yes	characteristic, complemented
160	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
161	SD₁₆×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
162	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
163	#11762894	C₂²	1	1	yes	characteristic, complemented
164	D₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
165	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
166	#11762889	C₂²	1	1	yes	characteristic, complemented
167	C₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
168	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
169	#11762874	C₂²	1	1	yes	characteristic, complemented
170	C₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
171	C₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
172	#11762872	C₂²	1	1	yes	characteristic, complemented
173	#11762872	C₂²	1	1	yes	characteristic, complemented
174	#11762861	C₂²	1	1	yes	characteristic, complemented
175	#11762860	C₂²	1	1	yes	characteristic, complemented
176	#11762806	C₂²	1	1	yes	characteristic, complemented
177	#11762805	C₂²	1	1	yes	characteristic, complemented
178	#11762804	C₂²	1	1	yes	characteristic, complemented
179	#11762802	C₂²	1	1	yes	characteristic, complemented
180	C₂×#10587492	C₂²	1	1	yes	characteristic, complemented
181	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
182	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
183	#102×D₁₇	C₂²	1	1	yes	characteristic, complemented
184	C₂×#10587491	C₂²	1	1	yes	characteristic
185	C₂×#10587491	C₂²	1	1	yes	characteristic, complemented
186	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
187	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₁₇×#135	C₂²	1	1	yes	characteristic, complemented
189	C₂²×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#546	C₂²	1	1	yes	characteristic
191	C₁₇×#546	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#495	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#466	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#463	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#449	C₂²	1	1	yes	characteristic, complemented
200	C₁₇×#449	C₂²	1	1	yes	characteristic, complemented
201	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic, complemented
206	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₇	—	2	1	no	—
209	C₂²×C₂²⋊D₁₇	—	2	1	no	—
210	#41×D₁₇	—	4	2	no	—
211	#41×D₁₇	—	4	2	no	—
212	C₂×#63256	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
215	C₂×#63254	—	2	1	no	—
216	C₂×#63254	C₂³	1	1	yes	characteristic
217	C₂×#63254	C₂³	1	1	yes	characteristic, complemented
218	C₂×D₄×D₁₇	—	2	1	no	—
219	C₂×D₄×D₁₇	—	2	1	no	—
220	C₂×D₄×D₁₇	—	2	1	no	—
221	C₂×D₄×D₁₇	—	2	1	no	—
222	C₂×D₄×D₁₇	—	4	2	no	—
223	C₂×D₄×D₁₇	—	4	2	no	—
224	C₂×D₄×D₁₇	D₄	1	1	yes	characteristic
225	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
229	C₂×#63252	—	2	1	no	—
230	C₂×#63252	C₂³	1	1	yes	characteristic
231	C₂²×D₆₈	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₇	—	2	1	no	—
233	C₂²×C₄×D₁₇	—	2	1	no	—
234	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
236	C₁₇×#135	—	4	2	no	—
237	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
238	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
241	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
242	C₂×D₈×C₁₇	—	4	2	no	—
243	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
245	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
249	C₁₇×#124	C₂³	1	1	yes	characteristic
250	C₁₇×#124	C₂³	1	1	yes	characteristic, complemented
251	C₁₇×#123	—	2	1	no	—
252	C₁₇×#123	—	2	1	no	—
253	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₇×#121	—	2	1	no	—
256	C₁₇×#121	—	2	1	no	—
257	C₁₇×#121	C₂³	1	1	yes	characteristic
258	C₁₇×#121	C₂³	1	1	yes	characteristic, complemented
259	C₁₇×#120	—	2	1	no	—
260	C₁₇×#120	—	2	1	no	—
261	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
264	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
265	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
266	#10587639	—	2	1	no	—
267	#10587639	—	2	1	no	—
268	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
269	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
270	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
271	#10587636	—	4	2	no	—
272	#10587633	C₂³	1	1	yes	characteristic
273	#10587632	C₂³	1	1	yes	characteristic
274	#10587632	C₂³	1	1	yes	characteristic
275	#10587632	C₂³	1	1	yes	characteristic, complemented
276	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
277	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
278	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
279	C₂×#63230	C₂³	1	1	yes	characteristic
280	C₂×#63230	C₂³	1	1	yes	characteristic
281	#10587625	—	2	1	no	—
282	#10587625	—	2	1	no	—
283	#10587625	—	2	1	no	—
284	#10587625	—	2	1	no	—
285	#10587624	—	2	1	no	—
286	#10587624	—	2	1	no	—
287	#10587624	—	2	1	no	—
288	#10587624	—	2	1	no	—
289	#10587624	—	2	1	no	—
290	#10587624	C₂³	1	1	yes	characteristic
291	#10587624	C₂³	1	1	yes	characteristic
292	#10587624	C₂³	1	1	yes	characteristic
293	#10587624	C₂³	1	1	yes	characteristic
294	#10587624	C₂³	1	1	yes	characteristic
295	#10587624	C₂³	1	1	yes	characteristic, complemented
296	#10587623	—	2	1	no	—
297	#10587623	—	2	1	no	—
298	#10587623	—	2	1	no	—
299	#10587623	—	2	1	no	—
300	#10587623	—	2	1	no	—
301	#10587622	—	2	1	no	—
302	#10587622	C₂³	1	1	yes	characteristic
303	#10587622	C₂³	1	1	yes	characteristic, complemented
304	#10587621	—	2	1	no	—
305	#10587621	—	2	1	no	—
306	#10587621	—	2	1	no	—
307	#10587621	—	2	1	no	—
308	#10587621	—	2	1	no	—
309	D₄×Dic₁₇	—	2	1	no	—
310	D₄×Dic₁₇	D₄	1	1	yes	characteristic
311	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
312	D₄×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
313	C₂×#63229	C₂³	1	1	yes	characteristic
314	C₂×#63229	C₂³	1	1	yes	characteristic
315	C₂×#63229	C₂³	1	1	yes	characteristic, complemented
316	C₂×#63229	C₂³	1	1	yes	characteristic, complemented
317	C₂×#63228	—	4	2	no	—
318	C₂×#63228	C₂³	1	1	yes	characteristic
319	C₂×#63228	C₂³	1	1	yes	characteristic
320	C₂×#63228	C₂³	1	1	yes	characteristic
321	C₂×#63228	C₂³	1	1	yes	characteristic
322	#10587616	—	2	1	no	—
323	#10587616	C₂³	1	1	yes	characteristic
324	#10587615	—	2	1	no	—
325	#10587615	—	2	1	no	—
326	C₄×C₂²⋊D₁₇	—	2	1	no	—
327	C₄×C₂²⋊D₁₇	—	2	1	no	—
328	C₄×C₂²⋊D₁₇	—	2	1	no	—
329	C₄×C₂²⋊D₁₇	—	2	1	no	—
330	C₄×C₂²⋊D₁₇	—	2	1	no	—
331	C₄×C₂²⋊D₁₇	—	2	1	no	—
332	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
333	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
334	C₂×#63227	—	2	1	no	—
335	C₂×#63227	—	2	1	no	—
336	#10587612	—	2	1	no	—
337	#10587612	C₂³	1	1	yes	characteristic, complemented
338	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
339	#10587610	—	2	1	no	—
340	#10587610	C₂³	1	1	yes	characteristic
341	#10587610	C₂³	1	1	yes	characteristic
342	#10587610	C₂³	1	1	yes	characteristic, complemented
343	C₂²×#3622	C₂³	1	1	yes	characteristic
344	C₂²×#3622	C₂³	1	1	yes	characteristic, complemented
345	#10587602	—	4	2	no	—
346	SD₁₆×D₁₇	—	4	2	no	—
347	SD₁₆×D₁₇	—	4	2	no	—
348	#10587598	—	4	2	no	—
349	C₂×Dic₆₈	C₂³	1	1	yes	characteristic, complemented
350	C₂×#63219	C₂³	1	1	yes	characteristic
351	C₂×#63219	C₂³	1	1	yes	characteristic
352	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
353	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
354	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
355	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
356	#10587584	—	2	1	no	—
357	#10587583	C₂³	1	1	yes	characteristic
358	#10587583	C₂³	1	1	yes	characteristic
359	#10587582	—	2	1	no	—
360	#10587582	—	2	1	no	—
361	#10587581	—	2	1	no	—
362	#10587581	C₂³	1	1	yes	characteristic
363	#10587580	—	2	1	no	—
364	#10587580	—	2	1	no	—
365	#10587579	D₄	1	1	yes	characteristic
366	#10587579	C₂³	1	1	yes	characteristic
367	#10587578	C₂³	1	1	yes	characteristic, complemented
368	C₄⋊C₄×D₁₇	—	2	1	no	—
369	C₄⋊C₄×D₁₇	—	2	1	no	—
370	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
371	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
373	#10587576	—	2	1	no	—
374	#10587576	C₂³	1	1	yes	characteristic, complemented
375	#10587575	—	2	1	no	—
376	#10587572	—	2	1	no	—
377	#10587572	—	2	1	no	—
378	#10587571	—	2	1	no	—
379	#10587571	—	2	1	no	—
380	#10587571	—	2	1	no	—
381	#10587570	—	2	1	no	—
382	#10587570	—	2	1	no	—
383	#10587570	—	2	1	no	—
384	#10587570	—	2	1	no	—
385	#10587570	—	2	1	no	—
386	#10587569	—	2	1	no	—
387	#10587569	—	2	1	no	—
388	#10587569	—	2	1	no	—
389	#10587569	—	2	1	no	—
390	#10587569	—	2	1	no	—
391	#10587568	—	2	1	no	—
392	#10587568	—	2	1	no	—
393	#10587568	—	2	1	no	—
394	#10587567	—	2	1	no	—
395	#10587567	—	2	1	no	—
396	#10587567	—	2	1	no	—
397	#10587567	—	2	1	no	—
398	#10587567	—	2	1	no	—
399	#10587567	D₄	1	1	yes	characteristic
400	#10587567	D₄	1	1	yes	characteristic
401	C₂²⋊C₄×D₁₇	—	2	1	no	—
402	C₂²⋊C₄×D₁₇	—	2	1	no	—
403	C₂²⋊C₄×D₁₇	—	2	1	no	—
404	C₂²⋊C₄×D₁₇	—	2	1	no	—
405	C₂²⋊C₄×D₁₇	—	2	1	no	—
406	C₂²⋊C₄×D₁₇	—	2	1	no	—
407	C₂²⋊C₄×D₁₇	—	2	1	no	—
408	C₂²⋊C₄×D₁₇	—	2	1	no	—
409	C₂²⋊C₄×D₁₇	—	2	1	no	—
410	C₂²⋊C₄×D₁₇	—	2	1	no	—
411	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
412	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
413	#10587565	—	2	1	no	—
414	#10587565	—	2	1	no	—
415	#10587565	—	2	1	no	—
416	#10587565	—	2	1	no	—
417	#10587565	—	2	1	no	—
418	#10587564	—	2	1	no	—
419	#10587564	—	2	1	no	—
420	#10587564	—	2	1	no	—
421	#10587563	—	2	1	no	—
422	#10587563	—	2	1	no	—
423	#10587563	—	2	1	no	—
424	#10587561	C₂³	1	1	yes	characteristic
425	C₄×D₆₈	C₂³	1	1	yes	characteristic
426	C₄×D₆₈	C₂³	1	1	yes	characteristic
427	C₄²×D₁₇	C₂³	1	1	yes	characteristic
428	#10587556	C₂³	1	1	yes	characteristic, complemented
429	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
430	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
432	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
433	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
434	C₁₇×#102	C₂³	1	1	yes	characteristic
435	C₁₇×#102	C₂³	1	1	yes	characteristic
436	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
437	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
438	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
440	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
441	#10587506	C₂³	1	1	yes	characteristic, complemented
442	#10587506	C₂³	1	1	yes	characteristic, complemented
443	#10587506	C₂³	1	1	yes	characteristic, complemented
444	#10587506	C₂³	1	1	yes	characteristic, complemented
445	#10587503	C₂³	1	1	yes	characteristic
446	#10587503	C₂³	1	1	yes	characteristic
447	#10587503	C₂³	1	1	yes	characteristic
448	#10587503	C₂³	1	1	yes	characteristic
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
451	#10587503	C₂³	1	1	yes	characteristic, complemented
452	#10587503	C₂³	1	1	yes	characteristic, complemented
453	C₂²⋊#3622	C₂³	1	1	yes	characteristic
454	C₂²⋊#3622	C₂³	1	1	yes	characteristic, complemented
455	#10587492	C₂³	1	1	yes	characteristic
456	#10587492	C₂³	1	1	yes	characteristic
457	#10587492	C₂³	1	1	yes	characteristic
458	#10587492	C₂³	1	1	yes	characteristic
459	#10587492	C₂³	1	1	yes	characteristic
460	#10587492	C₂³	1	1	yes	characteristic
461	#10587491	C₂³	1	1	yes	characteristic
462	#10587491	C₂³	1	1	yes	characteristic
463	#10587491	C₂³	1	1	yes	characteristic
464	#10587491	C₂³	1	1	yes	characteristic
465	#10587491	C₂³	1	1	yes	characteristic
466	#10587491	C₂³	1	1	yes	characteristic
467	#10587491	C₂³	1	1	yes	characteristic, complemented
468	#10587491	C₂³	1	1	yes	characteristic, complemented
469	#10587489	C₂³	1	1	yes	characteristic, complemented
470	#10587488	C₂³	1	1	yes	characteristic, complemented
471	#10587488	C₂³	1	1	yes	characteristic, complemented
472	#10587487	C₂³	1	1	yes	characteristic, complemented
473	#10587487	C₂³	1	1	yes	characteristic, complemented
474	#10587487	C₂³	1	1	yes	characteristic, complemented
475	#10587487	C₂³	1	1	yes	characteristic, complemented
476	#10587485	C₂³	1	1	yes	characteristic, complemented
477	#10587485	C₂³	1	1	yes	characteristic, complemented
478	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
479	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
480	#10587481	C₂³	1	1	yes	characteristic, complemented
481	#10587481	C₂³	1	1	yes	characteristic, complemented
482	#10587480	C₂³	1	1	yes	characteristic
483	#10587480	C₂³	1	1	yes	characteristic
484	#10587479	C₂³	1	1	yes	characteristic, complemented
485	#10587479	C₂³	1	1	yes	characteristic, complemented
486	#10587478	C₂³	1	1	yes	characteristic, complemented
487	#10587478	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
489	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂⁴×C₁₇	—	2	1	no	—
492	C₂³×D₁₇	—	2	1	no	—
493	C₂³×D₁₇	—	2	1	no	—
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	C₂³×D₁₇	—	2	1	no	—
497	C₂³×D₁₇	—	4	4	no	—
498	C₂³×D₁₇	—	4	4	no	—
499	C₂³×D₁₇	—	8	2	no	—
500	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
501	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
502	#41×C₁₇	—	2	2	no	—
503	#41×C₁₇	—	4	1	no	—
504	#41×C₁₇	—	4	1	no	—
505	#41×C₁₇	—	4	1	no	—
506	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₇	—	2	2	no	—
509	C₂×D₄×C₁₇	—	2	1	no	—
510	C₂×D₄×C₁₇	—	2	1	no	—
511	C₂×D₄×C₁₇	—	2	1	no	—
512	C₂×D₄×C₁₇	—	2	1	no	—
513	C₂×D₄×C₁₇	—	2	1	no	—
514	C₂×D₄×C₁₇	—	2	1	no	—
515	C₂×D₄×C₁₇	—	4	1	no	—
516	C₂×D₄×C₁₇	—	4	1	no	—
517	C₂×D₄×C₁₇	—	4	1	no	—
518	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₇	—	2	1	no	—
524	C₂²×C₄×C₁₇	—	2	1	no	—
525	C₂²×C₄×C₁₇	—	2	1	no	—
526	C₂²×C₄×C₁₇	—	2	1	no	—
527	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₇	—	2	1	no	—
530	C₂×C₂²⋊D₁₇	—	2	1	no	—
531	C₂×C₂²⋊D₁₇	—	2	1	no	—
532	C₂×C₂²⋊D₁₇	—	2	1	no	—
533	C₂×C₂²⋊D₁₇	—	2	1	no	—
534	C₂×C₂²⋊D₁₇	—	2	1	no	—
535	C₂×C₂²⋊D₁₇	—	2	1	no	—
536	C₂×C₂²⋊D₁₇	—	2	1	no	—
537	C₂×C₂²⋊D₁₇	—	2	1	no	—
538	C₂×C₂²⋊D₁₇	—	2	1	no	—
539	C₂×C₂²⋊D₁₇	—	2	1	no	—
540	C₂×C₂²⋊D₁₇	—	2	1	no	—
541	C₂×C₂²⋊D₁₇	—	2	1	no	—
542	C₂×C₂²⋊D₁₇	—	2	1	no	—
543	C₂×C₂²⋊D₁₇	—	4	4	no	—
544	C₂×C₂²⋊D₁₇	—	4	4	no	—
545	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₁₇	—	2	1	no	—
548	C₂²×Dic₁₇	—	2	1	no	—
549	C₂²×Dic₁₇	—	2	1	no	—
550	C₂²×Dic₁₇	—	2	1	no	—
551	C₂²×Dic₁₇	—	2	1	no	—
552	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
553	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
554	#63256	—	2	2	no	—
555	#63256	—	4	1	no	—
556	Q₈×D₁₇	—	4	1	no	—
557	Q₈×D₁₇	—	4	1	no	—
558	Q₈×D₁₇	—	4	1	no	—
559	Q₈×D₁₇	—	4	1	no	—
560	#63254	—	2	2	no	—
561	#63254	—	4	1	no	—
562	#63254	—	4	1	no	—
563	#63254	—	4	1	no	—
564	#63254	—	4	4	no	—
565	D₄×D₁₇	—	2	4	no	—
566	D₄×D₁₇	—	2	2	no	—
567	D₄×D₁₇	—	2	2	no	—
568	D₄×D₁₇	—	2	2	no	—
569	D₄×D₁₇	—	2	2	no	—
570	D₄×D₁₇	—	4	1	no	—
571	D₄×D₁₇	—	4	1	no	—
572	D₄×D₁₇	—	4	1	no	—
573	D₄×D₁₇	—	4	1	no	—
574	D₄×D₁₇	—	4	4	no	—
575	D₄×D₁₇	—	4	4	no	—
576	D₄×D₁₇	—	4	4	no	—
577	D₄×D₁₇	—	8	2	no	—
578	#63252	—	2	2	no	—
579	#63252	—	4	1	no	—
580	#63252	—	4	4	no	—
581	C₂×D₆₈	—	2	2	no	—
582	C₂×D₆₈	—	2	1	no	—
583	C₂×D₆₈	—	2	1	no	—
584	C₂×D₆₈	—	2	1	no	—
585	C₂×D₆₈	—	4	1	no	—
586	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
587	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
588	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₁₇	—	2	1	no	—
590	C₂×C₄×D₁₇	—	2	1	no	—
591	C₂×C₄×D₁₇	—	2	1	no	—
592	C₂×C₄×D₁₇	—	2	1	no	—
593	C₂×C₄×D₁₇	—	2	1	no	—
594	C₂×C₄×D₁₇	—	2	1	no	—
595	C₂×C₄×D₁₇	—	2	1	no	—
596	C₂×C₄×D₁₇	—	2	1	no	—
597	C₂×C₄×D₁₇	—	4	1	no	—
598	C₂×C₄×D₁₇	—	4	1	no	—
599	C₂×C₄×D₁₇	—	4	1	no	—
600	C₂×C₄×D₁₇	—	4	1	no	—
601	C₂×C₄×D₁₇	—	4	4	no	—
602	C₂×C₄×D₁₇	—	8	2	no	—
603	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
612	C₂×Dic₃₄	—	2	1	no	—
613	C₂×Dic₃₄	—	2	1	no	—
614	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
616	Q₁₆×C₁₇	—	4	1	no	—
617	SD₁₆×C₁₇	—	2	2	no	—
618	SD₁₆×C₁₇	—	4	1	no	—
619	SD₁₆×C₁₇	—	4	1	no	—
620	SD₁₆×C₁₇	—	4	1	no	—
621	D₈×C₁₇	—	2	2	no	—
622	D₈×C₁₇	—	2	2	no	—
623	D₈×C₁₇	—	4	1	no	—
624	D₈×C₁₇	—	4	1	no	—
625	C₂×C₈×C₁₇	—	4	1	no	—
626	C₂×C₈×C₁₇	—	4	1	no	—
627	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₁₇	—	2	1	no	—
632	C₄⋊C₄×C₁₇	—	2	1	no	—
633	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
635	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
636	C₂²⋊C₄×C₁₇	—	2	1	no	—
637	C₂²⋊C₄×C₁₇	—	2	1	no	—
638	C₂²⋊C₄×C₁₇	—	2	1	no	—
639	C₂²⋊C₄×C₁₇	—	2	1	no	—
640	C₂²⋊C₄×C₁₇	—	2	1	no	—
641	C₂²⋊C₄×C₁₇	—	2	1	no	—
642	C₂²⋊C₄×C₁₇	—	2	1	no	—
643	C₂²⋊C₄×C₁₇	—	2	1	no	—
644	C₂²⋊C₄×C₁₇	—	2	1	no	—
645	C₂²⋊C₄×C₁₇	—	2	1	no	—
646	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
648	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
649	C₂²⋊Dic₁₇	—	2	1	no	—
650	C₂²⋊Dic₁₇	—	2	1	no	—
651	C₂²⋊Dic₁₇	—	2	1	no	—
652	C₂²⋊Dic₁₇	—	2	1	no	—
653	C₂²⋊Dic₁₇	—	2	1	no	—
654	C₂²⋊Dic₁₇	—	2	1	no	—
655	C₂²⋊Dic₁₇	—	2	1	no	—
656	C₂²⋊Dic₁₇	—	2	1	no	—
657	C₂²⋊Dic₁₇	—	2	1	no	—
658	C₂²⋊Dic₁₇	—	2	1	no	—
659	C₂²⋊Dic₁₇	—	2	1	no	—
660	C₂²⋊Dic₁₇	—	2	1	no	—
661	C₂²⋊Dic₁₇	—	2	1	no	—
662	C₂²⋊Dic₁₇	—	2	1	no	—
663	C₂²⋊Dic₁₇	—	2	1	no	—
664	C₂²⋊Dic₁₇	—	2	1	no	—
665	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
667	#63231	—	4	1	no	—
668	#63231	—	4	1	no	—
669	#63230	—	2	2	no	—
670	#63230	—	4	1	no	—
671	#63229	—	2	2	no	—
672	#63229	—	4	1	no	—
673	#63229	—	4	1	no	—
674	#63229	—	4	1	no	—
675	#63228	—	2	2	no	—
676	#63228	—	2	2	no	—
677	#63228	—	4	1	no	—
678	#63228	—	4	1	no	—
679	#63227	—	2	1	no	—
680	#63227	—	2	1	no	—
681	#63227	—	2	1	no	—
682	#63227	—	2	1	no	—
683	#63227	—	2	1	no	—
684	#63227	—	2	1	no	—
685	#63227	—	2	1	no	—
686	#63227	—	2	1	no	—
687	#63227	—	2	1	no	—
688	#63227	—	2	1	no	—
689	#63227	—	2	1	no	—
690	#63227	—	2	1	no	—
691	#63227	—	2	1	no	—
692	#63227	—	2	1	no	—
693	#63227	C₂×D₄	1	1	yes	characteristic
694	#63227	C₂×D₄	1	1	yes	characteristic
695	#63227	C₂×D₄	1	1	yes	characteristic
696	#63227	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
703	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
705	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
706	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
707	#63225	—	2	1	no	—
708	#63225	—	2	1	no	—
709	#63225	—	2	1	no	—
710	#63225	—	2	1	no	—
711	#63225	—	2	1	no	—
712	#63225	—	2	1	no	—
713	#63225	—	2	1	no	—
714	#63225	—	2	1	no	—
715	#63225	—	2	1	no	—
716	#63225	—	2	1	no	—
717	#63225	—	2	1	no	—
718	#63225	—	2	1	no	—
719	#63225	C₂×D₄	1	1	yes	characteristic
720	#63225	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₁₇	—	2	1	no	—
722	C₄×Dic₁₇	—	2	1	no	—
723	C₄×Dic₁₇	—	2	1	no	—
724	C₄×Dic₁₇	—	2	1	no	—
725	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
726	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
727	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
728	C₂×#3622	—	4	1	no	—
729	C₂×#3622	—	4	1	no	—
730	C₂×#3622	C₂⁴	1	1	yes	characteristic
731	C₂×#3622	C₂⁴	1	1	yes	characteristic
732	C₂×#3622	C₂⁴	1	1	yes	characteristic
733	C₂×#3622	C₂⁴	1	1	yes	characteristic
734	Dic₆₈	—	4	1	no	—
735	#63219	—	2	2	no	—
736	#63219	—	4	1	no	—
737	C₈×D₁₇	—	4	1	no	—
738	C₈×D₁₇	—	4	1	no	—
739	C₈×D₁₇	—	4	1	no	—
740	C₈×D₁₇	—	4	1	no	—
741	#61561	—	17	1	no	maximal, Sylow
742	C₂³×C₁₇	—	2	1	no	—
743	C₂³×C₁₇	—	2	1	no	—
744	C₂³×C₁₇	—	2	1	no	—
745	C₂³×C₁₇	—	2	1	no	—
746	C₂³×C₁₇	—	4	2	no	—
747	C₂³×C₁₇	—	4	2	no	—
748	C₂³×C₁₇	—	4	2	no	—
749	C₂³×C₁₇	—	8	1	no	—
750	C₂³×C₁₇	—	8	1	no	—
751	C₂³×C₁₇	—	8	1	no	—
752	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
754	C₂²×D₁₇	—	2	4	no	—
755	C₂²×D₁₇	—	2	1	no	—
756	C₂²×D₁₇	—	2	2	no	—
757	C₂²×D₁₇	—	2	1	no	—
758	C₂²×D₁₇	—	4	1	no	—
759	C₂²×D₁₇	—	4	1	no	—
760	C₂²×D₁₇	—	4	1	no	—
761	C₂²×D₁₇	—	4	1	no	—
762	C₂²×D₁₇	—	4	2	no	—
763	C₂²×D₁₇	—	4	2	no	—
764	C₂²×D₁₇	—	4	2	no	—
765	C₂²×D₁₇	—	4	2	no	—
766	C₂²×D₁₇	—	4	2	no	—
767	C₂²×D₁₇	—	4	2	no	—
768	C₂²×D₁₇	—	4	2	no	—
769	C₂²×D₁₇	—	4	2	no	—
770	C₂²×D₁₇	—	4	2	no	—
771	C₂²×D₁₇	—	4	2	no	—
772	C₂²×D₁₇	—	4	2	no	—
773	C₂²×D₁₇	—	8	1	no	—
774	C₂²×D₁₇	—	8	1	no	—
775	C₂²×D₁₇	—	8	1	no	—
776	C₂²×D₁₇	—	8	16	no	—
777	C₂²×D₁₇	#135	1	4	yes	complemented
778	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
780	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
781	Q₈×C₁₇	—	2	1	no	—
782	Q₈×C₁₇	—	2	1	no	—
783	Q₈×C₁₇	—	2	1	no	—
784	Q₈×C₁₇	—	2	1	no	—
785	D₄×C₁₇	—	2	2	no	—
786	D₄×C₁₇	—	2	1	no	—
787	D₄×C₁₇	—	2	1	no	—
788	D₄×C₁₇	—	2	1	no	—
789	D₄×C₁₇	—	2	1	no	—
790	D₄×C₁₇	—	2	1	no	—
791	D₄×C₁₇	—	2	1	no	—
792	D₄×C₁₇	—	2	1	no	—
793	D₄×C₁₇	—	4	2	no	—
794	D₄×C₁₇	—	4	2	no	—
795	D₄×C₁₇	—	8	1	no	—
796	D₄×C₁₇	—	8	1	no	—
797	D₄×C₁₇	—	8	1	no	—
798	D₄×C₁₇	—	8	1	no	—
799	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
800	C₂×C₄×C₁₇	—	2	1	no	—
801	C₂×C₄×C₁₇	—	2	1	no	—
802	C₂×C₄×C₁₇	—	2	1	no	—
803	C₂×C₄×C₁₇	—	2	1	no	—
804	C₂×C₄×C₁₇	—	2	1	no	—
805	C₂×C₄×C₁₇	—	2	1	no	—
806	C₂×C₄×C₁₇	—	2	1	no	—
807	C₂×C₄×C₁₇	—	2	1	no	—
808	C₂×C₄×C₁₇	—	4	2	no	—
809	C₂×C₄×C₁₇	—	8	1	no	—
810	C₂×C₄×C₁₇	—	8	1	no	—
811	C₂×C₄×C₁₇	—	8	1	no	—
812	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
817	C₂²⋊D₁₇	—	2	4	no	—
818	C₂²⋊D₁₇	—	2	2	no	—
819	C₂²⋊D₁₇	—	2	2	no	—
820	C₂²⋊D₁₇	—	4	2	no	—
821	C₂²⋊D₁₇	—	4	2	no	—
822	C₂²⋊D₁₇	—	4	2	no	—
823	C₂²⋊D₁₇	—	4	2	no	—
824	C₂²⋊D₁₇	—	4	2	no	—
825	C₂²⋊D₁₇	—	4	2	no	—
826	C₂²⋊D₁₇	—	4	2	no	—
827	C₂²⋊D₁₇	—	4	2	no	—
828	C₂²⋊D₁₇	—	4	2	no	—
829	C₂²⋊D₁₇	—	8	1	no	—
830	C₂²⋊D₁₇	—	8	1	no	—
831	C₂²⋊D₁₇	—	8	1	no	—
832	C₂²⋊D₁₇	—	8	1	no	—
833	C₂×Dic₁₇	—	2	1	no	—
834	C₂×Dic₁₇	—	2	1	no	—
835	C₂×Dic₁₇	—	2	1	no	—
836	C₂×Dic₁₇	—	2	1	no	—
837	C₂×Dic₁₇	—	2	1	no	—
838	C₂×Dic₁₇	—	2	1	no	—
839	C₂×Dic₁₇	—	4	1	no	—
840	C₂×Dic₁₇	—	4	1	no	—
841	C₂×Dic₁₇	—	4	2	no	—
842	C₂×Dic₁₇	—	4	2	no	—
843	C₂×Dic₁₇	—	8	1	no	—
844	C₂×Dic₁₇	—	8	1	no	—
845	C₂×Dic₁₇	—	8	1	no	—
846	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
847	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
851	D₆₈	—	2	2	no	—
852	D₆₈	—	2	1	no	—
853	D₆₈	—	2	1	no	—
854	D₆₈	—	2	1	no	—
855	D₆₈	—	4	2	no	—
856	D₆₈	—	4	2	no	—
857	D₆₈	—	8	1	no	—
858	D₆₈	H(5,𝔽₂)	1	2	yes	—
859	C₄×D₁₇	—	2	2	no	—
860	C₄×D₁₇	—	2	1	no	—
861	C₄×D₁₇	—	2	1	no	—
862	C₄×D₁₇	—	2	1	no	—
863	C₄×D₁₇	—	2	1	no	—
864	C₄×D₁₇	—	2	1	no	—
865	C₄×D₁₇	—	2	1	no	—
866	C₄×D₁₇	—	4	1	no	—
867	C₄×D₁₇	—	4	1	no	—
868	C₄×D₁₇	—	4	1	no	—
869	C₄×D₁₇	—	4	1	no	—
870	C₄×D₁₇	—	4	1	no	—
871	C₄×D₁₇	—	4	2	no	—
872	C₄×D₁₇	—	4	2	no	—
873	C₄×D₁₇	—	4	2	no	—
874	C₄×D₁₇	—	4	2	no	—
875	C₄×D₁₇	—	8	1	no	—
876	C₄×D₁₇	—	8	1	no	—
877	C₄×D₁₇	—	8	1	no	—
878	C₄×D₁₇	—	8	1	no	—
879	Dic₃₄	—	2	1	no	—
880	Dic₃₄	—	2	1	no	—
881	Dic₃₄	—	2	1	no	—
882	Dic₃₄	—	2	1	no	—
883	Dic₃₄	—	4	2	no	—
884	Dic₃₄	—	8	1	no	—
885	C₈×C₁₇	—	2	1	no	—
886	C₈×C₁₇	—	2	1	no	—
887	C₈×C₁₇	—	2	1	no	—
888	C₈×C₁₇	—	2	1	no	—
889	#3622	—	2	1	no	—
890	#3622	—	2	1	no	—
891	#3622	—	2	1	no	—
892	#3622	—	2	1	no	—
893	#3505	—	17	1	no	—
894	C₂×#546	—	17	1	no	—
895	#3297	—	17	1	no	—
896	#3297	—	17	1	no	—
897	#3297	—	17	1	no	—
898	#3297	—	17	1	no	—
899	#3296	—	17	1	no	—
900	#3296	—	17	1	no	—
901	#3296	—	17	1	no	—
902	#3296	—	17	1	no	—
903	#3282	—	17	1	no	—
904	#3282	—	17	1	no	—
905	#3282	—	17	1	no	—
906	#3282	—	17	1	no	—
907	#3280	—	17	1	no	—
908	#3280	—	17	1	no	—
909	#3280	—	17	1	no	—
910	#3280	D₁₇	1	1	yes	characteristic, complemented
911	#3211	—	17	1	no	—
912	#3211	—	17	1	no	—
913	#3189	—	17	1	no	—
914	#3188	—	17	1	no	—
915	#3188	—	17	1	no	—
916	#3187	—	17	1	no	—
917	#3105	—	17	1	no	—
918	#3105	—	17	1	no	—
919	#3002	—	17	1	no	—
920	#3002	—	17	1	no	—
921	C₂×#450	—	17	1	no	—
922	C₂×#447	—	17	1	no	—
923	#2972	—	17	1	no	—
924	C₂²×C₁₇	—	2	1	no	—
925	C₂²×C₁₇	—	2	1	no	—
926	C₂²×C₁₇	—	2	1	no	—
927	C₂²×C₁₇	—	2	2	no	—
928	C₂²×C₁₇	—	2	1	no	—
929	C₂²×C₁₇	—	2	1	no	—
930	C₂²×C₁₇	—	4	1	no	—
931	C₂²×C₁₇	—	4	1	no	—
932	C₂²×C₁₇	—	4	1	no	—
933	C₂²×C₁₇	—	4	1	no	—
934	C₂²×C₁₇	—	4	1	no	—
935	C₂²×C₁₇	—	4	1	no	—
936	C₂²×C₁₇	—	4	1	no	—
937	C₂²×C₁₇	—	4	1	no	—
938	C₂²×C₁₇	—	4	1	no	—
939	C₂²×C₁₇	—	4	1	no	—
940	C₂²×C₁₇	—	4	1	no	—
941	C₂²×C₁₇	—	8	4	no	—
942	C₂²×C₁₇	—	16	2	no	—
943	C₂²×C₁₇	C₂×#135	1	2	yes	—
944	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
945	C₂×D₁₇	—	2	1	no	—
946	C₂×D₁₇	—	2	1	no	—
947	C₂×D₁₇	—	2	1	no	—
948	C₂×D₁₇	—	2	1	no	—
949	C₂×D₁₇	—	2	1	no	—
950	C₂×D₁₇	—	2	1	no	—
951	C₂×D₁₇	—	2	2	no	—
952	C₂×D₁₇	—	2	1	no	—
953	C₂×D₁₇	—	4	4	no	—
954	C₂×D₁₇	—	4	8	no	—
955	C₂×D₁₇	—	4	1	no	—
956	C₂×D₁₇	—	4	1	no	—
957	C₂×D₁₇	—	4	1	no	—
958	C₂×D₁₇	—	4	1	no	—
959	C₂×D₁₇	—	4	1	no	—
960	C₂×D₁₇	—	8	2	no	—
961	C₂×D₁₇	—	8	4	no	—
962	C₂×D₁₇	—	8	4	no	—
963	C₂×D₁₇	—	8	4	no	—
964	C₂×D₁₇	—	8	4	no	—
965	C₂×D₁₇	C₂×#135	1	2	yes	—
966	C₂×D₁₇	C₂×#135	1	2	yes	—
967	C₄×C₁₇	—	2	1	no	—
968	C₄×C₁₇	—	2	1	no	—
969	C₄×C₁₇	—	2	1	no	—
970	C₄×C₁₇	—	2	1	no	—
971	C₄×C₁₇	—	4	1	no	—
972	C₄×C₁₇	—	4	1	no	—
973	C₄×C₁₇	—	4	1	no	—
974	C₄×C₁₇	—	4	1	no	—
975	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
976	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
977	Dic₁₇	—	2	1	no	—
978	Dic₁₇	—	2	1	no	—
979	Dic₁₇	—	2	1	no	—
980	Dic₁₇	—	2	1	no	—
981	Dic₁₇	—	2	1	no	—
982	Dic₁₇	—	4	1	no	—
983	Dic₁₇	—	4	1	no	—
984	Dic₁₇	—	4	1	no	—
985	Dic₁₇	—	4	1	no	—
986	Dic₁₇	—	4	1	no	—
987	Dic₁₇	—	4	1	no	—
988	C₂²×#41	—	17	1	no	—
989	C₂³×D₄	—	17	1	no	—
990	C₂×#135	—	17	1	no	—
991	C₂×#135	—	17	1	no	—
992	C₂×#135	—	17	1	no	—
993	C₂×#135	C₂×D₁₇	1	1	yes	characteristic, complemented
994	C₂²×SD₁₆	—	17	1	no	—
995	C₂²×SD₁₆	—	17	1	no	—
996	C₂²×D₈	—	17	1	no	—
997	C₂²×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
998	#553	—	17	1	no	—
999	#553	—	17	1	no	—
1000	#553	—	34	1	no	—
1001	#553	—	34	1	no	—
1002	#552	—	17	1	no	—
1003	#552	—	17	1	no	—
1004	#551	—	34	1	no	—
1005	#551	—	34	1	no	—
1006	#548	—	17	1	no	—
1007	#548	—	17	1	no	—
1008	#546	—	17	1	no	—
1009	#546	—	17	1	no	—
1010	#546	—	17	1	no	—
1011	#546	—	17	1	no	—
1012	#546	—	17	1	no	—
1013	#546	—	17	1	no	—
1014	#546	—	17	1	no	—
1015	#546	—	17	1	no	—
1016	#546	—	34	1	no	—
1017	#546	—	34	1	no	—
1018	#546	—	34	1	no	—
1019	#546	—	34	1	no	—
1020	#546	C₂×D₁₇	1	1	yes	characteristic
1021	#546	C₂×D₁₇	1	1	yes	characteristic, complemented
1022	#539	—	34	1	no	—
1023	#538	—	34	1	no	—
1024	#534	—	34	1	no	—
1025	#529	—	17	1	no	—
1026	#529	—	17	1	no	—
1027	C₂×#124	—	17	1	no	—
1028	#525	—	17	1	no	—
1029	#525	—	17	1	no	—
1030	C₂×#123	—	34	1	no	—
1031	C₂×C₂²⋊Q₈	—	17	1	no	—
1032	C₂×C₂²⋊Q₈	—	17	1	no	—
1033	C₂×#121	—	17	1	no	—
1034	C₂×#121	—	17	1	no	—
1035	C₂×#121	—	34	1	no	—
1036	C₂×#120	—	34	1	no	—
1037	#518	—	34	1	no	—
1038	C₂×C₄×D₄	—	17	1	no	—
1039	C₂×C₄×D₄	—	17	1	no	—
1040	C₂²×C₂²⋊C₄	—	34	1	no	—
1041	#495	—	17	1	no	—
1042	#495	—	17	1	no	—
1043	#495	—	17	1	no	—
1044	#495	C₂×D₁₇	1	1	yes	characteristic, complemented
1045	#488	—	17	1	no	—
1046	#488	—	17	1	no	—
1047	#488	—	17	1	no	—
1048	#488	—	17	1	no	—
1049	#484	—	17	1	no	—
1050	#484	—	17	1	no	—
1051	#484	—	17	1	no	—
1052	#484	—	17	1	no	—
1053	#483	—	17	1	no	—
1054	#483	—	17	1	no	—
1055	#482	—	17	1	no	—
1056	#482	—	17	1	no	—
1057	#482	—	17	1	no	—
1058	#482	—	17	1	no	—
1059	#481	—	17	1	no	—
1060	#481	—	17	1	no	—
1061	#478	—	17	1	no	—
1062	#478	—	17	1	no	—
1063	#478	—	17	1	no	—
1064	#478	—	17	1	no	—
1065	#467	—	17	1	no	—
1066	#467	—	17	1	no	—
1067	#467	—	17	1	no	—
1068	#467	C₂×D₁₇	1	1	yes	characteristic, complemented
1069	#466	—	17	1	no	—
1070	#466	—	17	1	no	—
1071	#466	—	17	1	no	—
1072	#466	C₂×D₁₇	1	1	yes	characteristic, complemented
1073	#465	—	17	1	no	—
1074	#465	—	17	1	no	—
1075	#465	—	17	1	no	—
1076	#465	—	17	1	no	—
1077	#465	—	17	1	no	—
1078	#465	—	17	1	no	—
1079	#465	—	17	1	no	—
1080	#465	—	17	1	no	—
1081	#464	—	17	1	no	—
1082	#464	—	17	1	no	—
1083	#464	—	17	1	no	—
1084	#464	—	17	1	no	—
1085	#463	—	17	1	no	—
1086	#463	—	17	1	no	—
1087	#463	—	17	1	no	—
1088	#463	—	17	1	no	—
1089	#463	—	17	1	no	—
1090	#463	—	17	1	no	—
1091	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1092	#463	C₂×D₁₇	1	1	yes	characteristic, complemented
1093	#452	—	17	1	no	—
1094	#452	—	17	1	no	—
1095	#452	—	17	1	no	—
1096	#452	—	17	1	no	—
1097	#451	—	17	1	no	—
1098	#451	—	17	1	no	—
1099	#451	—	17	1	no	—
1100	#451	—	17	1	no	—
1101	#450	—	17	1	no	—
1102	#450	—	17	1	no	—
1103	#450	—	17	1	no	—
1104	#450	—	17	1	no	—
1105	#450	—	17	1	no	—
1106	#450	—	17	1	no	—
1107	#450	—	17	1	no	—
1108	#450	—	17	1	no	—
1109	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1110	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1111	#449	—	17	1	no	—
1112	#449	—	17	1	no	—
1113	#449	—	17	1	no	—
1114	#449	—	17	1	no	—
1115	#449	—	17	1	no	—
1116	#449	—	17	1	no	—
1117	#449	C₂×D₁₇	1	1	yes	characteristic, complemented
1118	#449	C₂×D₁₇	1	1	yes	characteristic, complemented
1119	#448	—	17	1	no	—
1120	#448	—	17	1	no	—
1121	#447	—	17	1	no	—
1122	#447	—	17	1	no	—
1123	#447	—	17	1	no	—
1124	#447	—	17	1	no	—
1125	#447	—	17	1	no	—
1126	#447	—	17	1	no	—
1127	#447	—	17	1	no	—
1128	#447	—	17	1	no	—
1129	C₄×SD₁₆	—	17	1	no	—
1130	C₄×SD₁₆	—	17	1	no	—
1131	C₄×SD₁₆	—	17	1	no	—
1132	C₄×SD₁₆	—	17	1	no	—
1133	C₄×D₈	—	17	1	no	—
1134	C₄×D₈	—	17	1	no	—
1135	C₄×D₈	—	17	1	no	—
1136	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
1137	C₈×D₄	—	17	1	no	—
1138	C₈×D₄	—	17	1	no	—
1139	C₈×D₄	—	17	1	no	—
1140	C₈×D₄	—	17	1	no	—
1141	C₈×D₄	—	17	1	no	—
1142	C₈×D₄	—	17	1	no	—
1143	C₈×D₄	—	17	1	no	—
1144	C₈×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
1145	#431	—	17	1	no	—
1146	#431	—	17	1	no	—
1147	#416	—	17	1	no	—
1148	#416	—	17	1	no	—
1149	#416	—	17	1	no	—
1150	#416	—	17	1	no	—
1151	C₂×#102	—	17	1	no	—
1152	C₂×#102	—	17	1	no	—
1153	C₂×#102	—	17	1	no	—
1154	C₂×#102	—	17	1	no	—
1155	C₂×C₂²⋊C₈	—	17	1	no	—
1156	C₂×C₂²⋊C₈	—	17	1	no	—
1157	C₂×C₂²⋊C₈	—	17	1	no	—
1158	C₂×C₂²⋊C₈	—	17	1	no	—
1159	C₂×C₁₇	—	2	2	no	—
1160	C₂×C₁₇	—	4	2	no	—
1161	C₂×C₁₇	—	4	1	no	—
1162	C₂×C₁₇	—	8	1	no	—
1163	C₂×C₁₇	—	8	1	no	—
1164	C₂×C₁₇	—	8	1	no	—
1165	C₂×C₁₇	#3484	1	1	yes	characteristic
1166	C₂×C₁₇	C₂²×#135	1	1	yes	characteristic
1167	C₂×C₁₇	#3585	1	1	yes	characteristic
1168	D₁₇	—	2	2	no	—
1169	D₁₇	—	2	2	no	—
1170	D₁₇	—	4	1	no	—
1171	D₁₇	—	4	2	no	—
1172	D₁₇	—	8	1	no	—
1173	C₂⁵	—	34	1	no	—
1174	C₂×#41	—	17	1	no	—
1175	C₂×#41	—	17	1	no	—
1176	C₂×#41	—	17	1	no	—
1177	C₂×#41	—	17	1	no	—
1178	C₂×#41	—	34	1	no	—
1179	C₂×#41	—	34	1	no	—
1180	C₂×#41	—	68	2	no	—
1181	C₂×#41	—	68	2	no	—
1182	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1183	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic, complemented
1184	C₂²×Q₈	—	17	1	no	—
1185	C₂²×Q₈	—	17	1	no	—
1186	C₂²×D₄	—	17	1	no	—
1187	C₂²×D₄	—	17	1	no	—
1188	C₂²×D₄	—	17	1	no	—
1189	C₂²×D₄	—	17	1	no	—
1190	C₂²×D₄	—	17	1	no	—
1191	C₂²×D₄	—	17	1	no	—
1192	C₂²×D₄	—	34	1	no	—
1193	C₂²×D₄	—	34	1	no	—
1194	C₂²×D₄	—	34	1	no	—
1195	C₂²×D₄	—	34	1	no	—
1196	C₂²×D₄	—	34	1	no	—
1197	C₂²×D₄	—	34	1	no	—
1198	C₂²×D₄	—	68	2	no	—
1199	C₂²×D₄	—	68	2	no	—
1200	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1201	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1202	C₂³×C₄	—	17	1	no	—
1203	C₂³×C₄	—	17	1	no	—
1204	C₂³×C₄	—	34	1	no	—
1205	C₂³×C₄	—	34	1	no	—
1206	#135	—	4	2	no	—
1207	#135	—	68	2	no	—
1208	#135	—	68	2	no	—
1209	#135	—	68	2	no	—
1210	C₂×Q₁₆	—	17	1	no	—
1211	C₂×Q₁₆	—	17	1	no	—
1212	C₂×Q₁₆	—	17	1	no	—
1213	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1214	C₂×SD₁₆	—	17	1	no	—
1215	C₂×SD₁₆	—	17	1	no	—
1216	C₂×SD₁₆	—	17	1	no	—
1217	C₂×SD₁₆	—	17	1	no	—
1218	C₂×SD₁₆	—	17	1	no	—
1219	C₂×SD₁₆	—	17	1	no	—
1220	C₂×SD₁₆	—	17	1	no	—
1221	C₂×SD₁₆	—	17	1	no	—
1222	C₂×SD₁₆	—	68	2	no	—
1223	C₂×SD₁₆	—	68	2	no	—
1224	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1225	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1226	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1227	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1228	C₂×D₈	—	4	2	no	—
1229	C₂×D₈	—	17	1	no	—
1230	C₂×D₈	—	17	1	no	—
1231	C₂×D₈	—	17	1	no	—
1232	C₂×D₈	—	17	1	no	—
1233	C₂×D₈	—	68	2	no	—
1234	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1235	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1236	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1237	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1238	C₂²×C₈	—	17	1	no	—
1239	C₂²×C₈	—	17	1	no	—
1240	C₂²×C₈	—	17	1	no	—
1241	C₂²×C₈	—	17	1	no	—
1242	C₂²×C₈	—	17	1	no	—
1243	C₂²×C₈	—	17	1	no	—
1244	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1245	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1246	#126	—	34	1	no	—
1247	#126	—	34	1	no	—
1248	#126	—	34	1	no	—
1249	#126	—	34	1	no	—
1250	#126	—	34	1	no	—
1251	#126	—	34	1	no	—
1252	#125	—	17	1	no	—
1253	#125	—	17	1	no	—
1254	#125	—	34	1	no	—
1255	#125	—	34	1	no	—
1256	#124	—	17	1	no	—
1257	#124	—	17	1	no	—
1258	#124	—	17	1	no	—
1259	#124	—	17	1	no	—
1260	#124	—	34	1	no	—
1261	#124	—	34	1	no	—
1262	#124	—	34	1	no	—
1263	#124	—	34	1	no	—
1264	#124	C₂²×D₁₇	1	1	yes	characteristic
1265	#124	C₂²×D₁₇	1	1	yes	characteristic, complemented
1266	#123	—	2	1	no	—
1267	#123	—	2	1	no	—
1268	#123	—	34	1	no	—
1269	#123	—	34	1	no	—
1270	#123	—	34	1	no	—
1271	#123	—	34	1	no	—
1272	#123	—	34	1	no	—
1273	#123	—	34	1	no	—
1274	#123	—	34	1	no	—
1275	#123	—	34	1	no	—
1276	#123	—	34	1	no	—
1277	#123	—	34	1	no	—
1278	#123	—	34	1	no	—
1279	#123	—	34	1	no	—
1280	#123	—	34	1	no	—
1281	#123	—	34	1	no	—
1282	#123	—	34	1	no	—
1283	#123	—	34	1	no	—
1284	C₂²⋊Q₈	—	17	1	no	—
1285	C₂²⋊Q₈	—	17	1	no	—
1286	C₂²⋊Q₈	—	17	1	no	—
1287	C₂²⋊Q₈	—	17	1	no	—
1288	C₂²⋊Q₈	—	17	1	no	—
1289	C₂²⋊Q₈	—	17	1	no	—
1290	C₂²⋊Q₈	—	17	1	no	—
1291	C₂²⋊Q₈	—	17	1	no	—
1292	C₂²⋊Q₈	—	34	1	no	—
1293	C₂²⋊Q₈	—	34	1	no	—
1294	C₂²⋊Q₈	—	34	1	no	—
1295	C₂²⋊Q₈	—	34	1	no	—
1296	C₂²⋊Q₈	—	34	1	no	—
1297	C₂²⋊Q₈	—	34	1	no	—
1298	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	17	1	no	—
1303	#121	—	17	1	no	—
1304	#121	—	17	1	no	—
1305	#121	—	17	1	no	—
1306	#121	—	17	1	no	—
1307	#121	—	17	1	no	—
1308	#121	—	17	1	no	—
1309	#121	—	17	1	no	—
1310	#121	—	34	1	no	—
1311	#121	—	34	1	no	—
1312	#121	—	34	1	no	—
1313	#121	—	34	1	no	—
1314	#121	—	34	1	no	—
1315	#121	—	34	1	no	—
1316	#121	—	34	1	no	—
1317	#121	—	34	1	no	—
1318	#121	—	34	1	no	—
1319	#121	—	34	1	no	—
1320	#121	—	34	1	no	—
1321	#121	—	34	1	no	—
1322	#121	—	34	1	no	—
1323	#121	—	34	1	no	—
1324	#121	—	34	1	no	—
1325	#121	—	34	1	no	—
1326	#121	C₂²×D₁₇	1	1	yes	characteristic
1327	#121	C₂²×D₁₇	1	1	yes	characteristic, complemented
1328	#120	—	2	1	no	—
1329	#120	—	2	1	no	—
1330	#120	—	34	1	no	—
1331	#120	—	34	1	no	—
1332	#120	—	34	1	no	—
1333	#120	—	34	1	no	—
1334	#120	—	34	1	no	—
1335	#120	—	34	1	no	—
1336	#120	—	34	1	no	—
1337	#120	—	34	1	no	—
1338	#120	—	34	1	no	—
1339	#120	—	34	1	no	—
1340	C₄×Q₈	—	17	1	no	—
1341	C₄×Q₈	—	17	1	no	—
1342	C₄×D₄	—	17	1	no	—
1343	C₄×D₄	—	17	1	no	—
1344	C₄×D₄	—	17	1	no	—
1345	C₄×D₄	—	17	1	no	—
1346	C₄×D₄	—	17	1	no	—
1347	C₄×D₄	—	17	1	no	—
1348	C₄×D₄	—	17	1	no	—
1349	C₄×D₄	—	17	1	no	—
1350	C₄×D₄	—	17	1	no	—
1351	C₄×D₄	—	17	1	no	—
1352	C₄×D₄	—	17	1	no	—
1353	C₄×D₄	—	34	1	no	—
1354	C₄×D₄	—	34	1	no	—
1355	C₄×D₄	—	34	1	no	—
1356	C₄×D₄	—	34	1	no	—
1357	C₄×D₄	—	34	1	no	—
1358	C₄×D₄	—	34	1	no	—
1359	C₄×D₄	—	34	1	no	—
1360	C₄×D₄	—	34	1	no	—
1361	C₄×D₄	—	34	1	no	—
1362	C₄×D₄	—	34	1	no	—
1363	C₄×D₄	—	34	1	no	—
1364	C₄×D₄	—	34	1	no	—
1365	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1366	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1367	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1368	#117	—	17	1	no	—
1369	#117	—	17	1	no	—
1370	#117	—	34	1	no	—
1371	#117	—	34	1	no	—
1372	#117	—	34	1	no	—
1373	#117	—	34	1	no	—
1374	C₂×C₄⋊C₄	—	17	1	no	—
1375	C₂×C₄⋊C₄	—	17	1	no	—
1376	C₂×C₄⋊C₄	—	17	1	no	—
1377	C₂×C₄⋊C₄	—	17	1	no	—
1378	C₂×C₄⋊C₄	—	34	1	no	—
1379	C₂×C₄⋊C₄	—	34	1	no	—
1380	C₂×C₂²⋊C₄	—	2	1	no	—
1381	C₂×C₂²⋊C₄	—	2	1	no	—
1382	C₂×C₂²⋊C₄	—	17	1	no	—
1383	C₂×C₂²⋊C₄	—	17	1	no	—
1384	C₂×C₂²⋊C₄	—	34	1	no	—
1385	C₂×C₂²⋊C₄	—	34	1	no	—
1386	C₂×C₂²⋊C₄	—	34	1	no	—
1387	C₂×C₂²⋊C₄	—	34	1	no	—
1388	C₂×C₂²⋊C₄	—	34	1	no	—
1389	C₂×C₂²⋊C₄	—	34	1	no	—
1390	C₂×C₂²⋊C₄	—	34	1	no	—
1391	C₂×C₂²⋊C₄	—	34	1	no	—
1392	C₂×C₂²⋊C₄	—	34	1	no	—
1393	C₂×C₂²⋊C₄	—	34	1	no	—
1394	C₂×C₂²⋊C₄	—	34	1	no	—
1395	C₂×C₂²⋊C₄	—	34	1	no	—
1396	C₂×C₂²⋊C₄	—	34	1	no	—
1397	C₂×C₂²⋊C₄	—	34	1	no	—
1398	C₂×C₂²⋊C₄	—	34	1	no	—
1399	C₂×C₄²	—	17	1	no	—
1400	#107	—	17	1	no	—
1401	#107	—	17	1	no	—
1402	#107	—	17	1	no	—
1403	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1404	#106	—	17	1	no	—
1405	#106	—	17	1	no	—
1406	#106	—	17	1	no	—
1407	#106	—	17	1	no	—
1408	C₄⋊C₈	—	17	1	no	—
1409	C₄⋊C₈	—	17	1	no	—
1410	C₄⋊C₈	—	17	1	no	—
1411	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1412	#103	—	17	1	no	—
1413	#103	—	17	1	no	—
1414	#103	—	17	1	no	—
1415	#103	—	17	1	no	—
1416	#103	—	17	1	no	—
1417	#103	—	17	1	no	—
1418	#103	—	17	1	no	—
1419	#103	—	17	1	no	—
1420	#103	—	17	1	no	—
1421	#103	—	17	1	no	—
1422	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1423	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1424	#102	—	17	1	no	—
1425	#102	—	17	1	no	—
1426	#102	—	17	1	no	—
1427	#102	—	17	1	no	—
1428	#102	—	17	1	no	—
1429	#102	—	17	1	no	—
1430	#102	—	17	1	no	—
1431	#102	—	17	1	no	—
1432	#102	—	17	1	no	—
1433	#102	—	17	1	no	—
1434	#102	—	17	1	no	—
1435	#102	—	17	1	no	—
1436	#102	—	17	1	no	—
1437	#102	—	17	1	no	—
1438	#102	—	17	1	no	—
1439	#102	—	17	1	no	—
1440	#102	C₂²×D₁₇	1	1	yes	characteristic
1441	#102	C₂²×D₁₇	1	1	yes	characteristic
1442	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1443	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1444	C₂²⋊C₈	—	17	1	no	—
1445	C₂²⋊C₈	—	17	1	no	—
1446	C₂²⋊C₈	—	17	1	no	—
1447	C₂²⋊C₈	—	17	1	no	—
1448	C₂²⋊C₈	—	17	1	no	—
1449	C₂²⋊C₈	—	17	1	no	—
1450	C₂²⋊C₈	—	17	1	no	—
1451	C₂²⋊C₈	—	17	1	no	—
1452	C₂²⋊C₈	—	17	1	no	—
1453	C₂²⋊C₈	—	17	1	no	—
1454	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1455	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1456	C₄×C₈	—	17	1	no	—
1457	C₄×C₈	—	17	1	no	—
1458	C₄×C₈	—	17	1	no	—
1459	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1460	C₁₇	#61561	1	1	yes	characteristic, complemented, Sylow
1461	C₂⁴	—	2	1	no	—
1462	C₂⁴	—	2	1	no	—
1463	C₂⁴	—	17	1	no	—
1464	C₂⁴	—	17	1	no	—
1465	C₂⁴	—	34	1	no	—
1466	C₂⁴	—	34	1	no	—
1467	C₂⁴	—	34	1	no	—
1468	C₂⁴	—	34	1	no	—
1469	C₂⁴	—	34	1	no	—
1470	C₂⁴	—	68	4	no	—
1471	C₂⁴	—	68	4	no	—
1472	C₂⁴	—	136	2	no	—
1473	#41	—	2	2	no	—
1474	#41	—	4	1	no	—
1475	#41	—	4	1	no	—
1476	#41	—	4	1	no	—
1477	#41	—	34	2	no	—
1478	#41	—	34	2	no	—
1479	#41	—	34	2	no	—
1480	#41	—	68	1	no	—
1481	#41	—	68	4	no	—
1482	#41	—	68	1	no	—
1483	#41	—	68	1	no	—
1484	#41	—	68	1	no	—
1485	#41	—	68	1	no	—
1486	#41	—	68	4	no	—
1487	C₂×Q₈	—	17	1	no	—
1488	C₂×Q₈	—	17	1	no	—
1489	C₂×Q₈	—	34	1	no	—
1490	C₂×Q₈	—	34	1	no	—
1491	C₂×Q₈	—	68	1	no	—
1492	C₂×Q₈	—	68	1	no	—
1493	C₂×Q₈	—	68	1	no	—
1494	C₂×Q₈	—	68	1	no	—
1495	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1496	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1497	C₂×D₄	—	2	2	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	4	1	no	—
1505	C₂×D₄	—	4	1	no	—
1506	C₂×D₄	—	4	1	no	—
1507	C₂×D₄	—	17	1	no	—
1508	C₂×D₄	—	17	1	no	—
1509	C₂×D₄	—	17	1	no	—
1510	C₂×D₄	—	17	1	no	—
1511	C₂×D₄	—	17	1	no	—
1512	C₂×D₄	—	34	2	no	—
1513	C₂×D₄	—	34	1	no	—
1514	C₂×D₄	—	34	1	no	—
1515	C₂×D₄	—	34	1	no	—
1516	C₂×D₄	—	34	1	no	—
1517	C₂×D₄	—	34	1	no	—
1518	C₂×D₄	—	34	1	no	—
1519	C₂×D₄	—	34	2	no	—
1520	C₂×D₄	—	34	2	no	—
1521	C₂×D₄	—	34	4	no	—
1522	C₂×D₄	—	34	2	no	—
1523	C₂×D₄	—	34	2	no	—
1524	C₂×D₄	—	34	1	no	—
1525	C₂×D₄	—	34	1	no	—
1526	C₂×D₄	—	34	1	no	—
1527	C₂×D₄	—	34	1	no	—
1528	C₂×D₄	—	34	1	no	—
1529	C₂×D₄	—	34	1	no	—
1530	C₂×D₄	—	34	1	no	—
1531	C₂×D₄	—	34	1	no	—
1532	C₂×D₄	—	34	1	no	—
1533	C₂×D₄	—	34	1	no	—
1534	C₂×D₄	—	34	1	no	—
1535	C₂×D₄	—	68	1	no	—
1536	C₂×D₄	—	68	1	no	—
1537	C₂×D₄	—	68	1	no	—
1538	C₂×D₄	—	68	1	no	—
1539	C₂×D₄	—	68	1	no	—
1540	C₂×D₄	—	68	4	no	—
1541	C₂×D₄	—	68	4	no	—
1542	C₂×D₄	—	68	4	no	—
1543	C₂×D₄	—	68	4	no	—
1544	C₂×D₄	—	68	4	no	—
1545	C₂×D₄	—	136	2	no	—
1546	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	17	1	no	—
1556	C₂²×C₄	—	17	1	no	—
1557	C₂²×C₄	—	17	1	no	—
1558	C₂²×C₄	—	17	1	no	—
1559	C₂²×C₄	—	17	1	no	—
1560	C₂²×C₄	—	17	1	no	—
1561	C₂²×C₄	—	17	1	no	—
1562	C₂²×C₄	—	17	1	no	—
1563	C₂²×C₄	—	17	1	no	—
1564	C₂²×C₄	—	17	1	no	—
1565	C₂²×C₄	—	17	1	no	—
1566	C₂²×C₄	—	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	—	34	1	no	—
1579	C₂²×C₄	—	68	1	no	—
1580	C₂²×C₄	—	68	1	no	—
1581	C₂²×C₄	—	68	1	no	—
1582	C₂²×C₄	—	68	1	no	—
1583	C₂²×C₄	—	68	4	no	—
1584	C₂²×C₄	—	136	2	no	—
1585	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1587	Q₁₆	—	4	1	no	—
1588	Q₁₆	—	68	1	no	—
1589	Q₁₆	—	68	1	no	—
1590	Q₁₆	—	68	1	no	—
1591	SD₁₆	—	2	2	no	—
1592	SD₁₆	—	4	1	no	—
1593	SD₁₆	—	4	1	no	—
1594	SD₁₆	—	4	1	no	—
1595	SD₁₆	—	34	2	no	—
1596	SD₁₆	—	34	2	no	—
1597	SD₁₆	—	34	2	no	—
1598	SD₁₆	—	68	1	no	—
1599	SD₁₆	—	68	1	no	—
1600	SD₁₆	—	68	1	no	—
1601	SD₁₆	—	68	1	no	—
1602	SD₁₆	—	68	1	no	—
1603	D₈	—	2	2	no	—
1604	D₈	—	2	2	no	—
1605	D₈	—	4	1	no	—
1606	D₈	—	4	1	no	—
1607	D₈	—	34	2	no	—
1608	D₈	—	34	2	no	—
1609	D₈	—	68	1	no	—
1610	D₈	—	68	1	no	—
1611	C₂×C₈	—	4	1	no	—
1612	C₂×C₈	—	4	1	no	—
1613	C₂×C₈	—	17	1	no	—
1614	C₂×C₈	—	17	1	no	—
1615	C₂×C₈	—	17	1	no	—
1616	C₂×C₈	—	17	1	no	—
1617	C₂×C₈	—	68	1	no	—
1618	C₂×C₈	—	68	1	no	—
1619	C₂×C₈	—	68	1	no	—
1620	C₂×C₈	—	68	1	no	—
1621	C₂×C₈	—	68	1	no	—
1622	C₂×C₈	—	68	1	no	—
1623	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1624	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1625	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1626	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1627	C₄⋊C₄	—	2	1	no	—
1628	C₄⋊C₄	—	2	1	no	—
1629	C₄⋊C₄	—	17	1	no	—
1630	C₄⋊C₄	—	17	1	no	—
1631	C₄⋊C₄	—	17	1	no	—
1632	C₄⋊C₄	—	17	1	no	—
1633	C₄⋊C₄	—	17	1	no	—
1634	C₄⋊C₄	—	17	1	no	—
1635	C₄⋊C₄	—	17	1	no	—
1636	C₄⋊C₄	—	34	1	no	—
1637	C₄⋊C₄	—	34	1	no	—
1638	C₄⋊C₄	—	34	1	no	—
1639	C₄⋊C₄	—	34	1	no	—
1640	C₄⋊C₄	—	34	1	no	—
1641	C₄⋊C₄	—	34	1	no	—
1642	C₄⋊C₄	—	34	1	no	—
1643	C₄⋊C₄	—	34	1	no	—
1644	C₄⋊C₄	—	34	1	no	—
1645	C₄⋊C₄	—	34	1	no	—
1646	C₄⋊C₄	—	34	1	no	—
1647	C₄⋊C₄	—	34	1	no	—
1648	C₄⋊C₄	—	34	1	no	—
1649	C₄⋊C₄	—	34	1	no	—
1650	C₄⋊C₄	—	34	1	no	—
1651	C₄⋊C₄	—	34	1	no	—
1652	C₄⋊C₄	—	34	1	no	—
1653	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1654	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1655	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	17	1	no	—
1667	C₂²⋊C₄	—	17	1	no	—
1668	C₂²⋊C₄	—	17	1	no	—
1669	C₂²⋊C₄	—	17	1	no	—
1670	C₂²⋊C₄	—	17	1	no	—
1671	C₂²⋊C₄	—	17	1	no	—
1672	C₂²⋊C₄	—	34	1	no	—
1673	C₂²⋊C₄	—	34	1	no	—
1674	C₂²⋊C₄	—	34	1	no	—
1675	C₂²⋊C₄	—	34	1	no	—
1676	C₂²⋊C₄	—	34	1	no	—
1677	C₂²⋊C₄	—	34	1	no	—
1678	C₂²⋊C₄	—	34	1	no	—
1679	C₂²⋊C₄	—	34	1	no	—
1680	C₂²⋊C₄	—	34	1	no	—
1681	C₂²⋊C₄	—	34	1	no	—
1682	C₂²⋊C₄	—	34	1	no	—
1683	C₂²⋊C₄	—	34	1	no	—
1684	C₂²⋊C₄	—	34	1	no	—
1685	C₂²⋊C₄	—	34	1	no	—
1686	C₂²⋊C₄	—	34	1	no	—
1687	C₂²⋊C₄	—	34	1	no	—
1688	C₂²⋊C₄	—	34	1	no	—
1689	C₂²⋊C₄	—	34	1	no	—
1690	C₂²⋊C₄	—	34	1	no	—
1691	C₂²⋊C₄	—	34	1	no	—
1692	C₂²⋊C₄	—	34	1	no	—
1693	C₂²⋊C₄	—	34	1	no	—
1694	C₂²⋊C₄	—	34	1	no	—
1695	C₂²⋊C₄	—	34	1	no	—
1696	C₂²⋊C₄	—	34	1	no	—
1697	C₂²⋊C₄	—	34	1	no	—
1698	C₂²⋊C₄	—	34	1	no	—
1699	C₂²⋊C₄	—	34	1	no	—
1700	C₂²⋊C₄	—	34	1	no	—
1701	C₂²⋊C₄	—	34	1	no	—
1702	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1703	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1704	C₄²	—	17	1	no	—
1705	C₄²	—	17	1	no	—
1706	C₄²	—	17	1	no	—
1707	C₄²	—	34	1	no	—
1708	C₄²	—	34	1	no	—
1709	C₄²	—	34	1	no	—
1710	C₄²	—	34	1	no	—
1711	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1712	C₂³	—	2	1	no	—
1713	C₂³	—	2	1	no	—
1714	C₂³	—	2	1	no	—
1715	C₂³	—	2	1	no	—
1716	C₂³	—	4	2	no	—
1717	C₂³	—	4	2	no	—
1718	C₂³	—	4	2	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	8	1	no	—
1722	C₂³	—	17	1	no	—
1723	C₂³	—	17	1	no	—
1724	C₂³	—	17	4	no	—
1725	C₂³	—	17	1	no	—
1726	C₂³	—	34	2	no	—
1727	C₂³	—	34	4	no	—
1728	C₂³	—	34	1	no	—
1729	C₂³	—	34	1	no	—
1730	C₂³	—	68	1	no	—
1731	C₂³	—	68	1	no	—
1732	C₂³	—	68	1	no	—
1733	C₂³	—	68	1	no	—
1734	C₂³	—	68	2	no	—
1735	C₂³	—	68	2	no	—
1736	C₂³	—	68	2	no	—
1737	C₂³	—	68	2	no	—
1738	C₂³	—	68	2	no	—
1739	C₂³	—	68	2	no	—
1740	C₂³	—	68	2	no	—
1741	C₂³	—	68	2	no	—
1742	C₂³	—	68	2	no	—
1743	C₂³	—	68	2	no	—
1744	C₂³	—	68	2	no	—
1745	C₂³	—	136	1	no	—
1746	C₂³	—	136	1	no	—
1747	C₂³	—	136	1	no	—
1748	C₂³	—	136	16	no	—
1749	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1750	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	34	1	no	—
1756	Q₈	—	34	1	no	—
1757	Q₈	—	34	1	no	—
1758	Q₈	—	34	1	no	—
1759	Q₈	—	68	2	no	—
1760	Q₈	—	136	1	no	—
1761	D₄	—	2	2	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	2	1	no	—
1768	D₄	—	2	1	no	—
1769	D₄	—	4	2	no	—
1770	D₄	—	4	2	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	8	1	no	—
1774	D₄	—	8	1	no	—
1775	D₄	—	17	2	no	—
1776	D₄	—	34	2	no	—
1777	D₄	—	34	2	no	—
1778	D₄	—	34	4	no	—
1779	D₄	—	34	2	no	—
1780	D₄	—	34	1	no	—
1781	D₄	—	34	1	no	—
1782	D₄	—	34	1	no	—
1783	D₄	—	68	2	no	—
1784	D₄	—	68	2	no	—
1785	D₄	—	68	2	no	—
1786	D₄	—	68	2	no	—
1787	D₄	—	68	2	no	—
1788	D₄	—	68	2	no	—
1789	D₄	—	68	2	no	—
1790	D₄	—	68	2	no	—
1791	D₄	—	68	2	no	—
1792	D₄	—	68	2	no	—
1793	D₄	—	68	2	no	—
1794	D₄	—	136	1	no	—
1795	D₄	—	136	1	no	—
1796	D₄	—	136	1	no	—
1797	D₄	—	136	1	no	—
1798	D₄	—	136	1	no	—
1799	D₄	#10587691	1	2	yes	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	8	1	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	—	8	1	no	—
1812	C₂×C₄	—	17	1	no	—
1813	C₂×C₄	—	17	1	no	—
1814	C₂×C₄	—	17	1	no	—
1815	C₂×C₄	—	17	1	no	—
1816	C₂×C₄	—	17	1	no	—
1817	C₂×C₄	—	34	2	no	—
1818	C₂×C₄	—	34	1	no	—
1819	C₂×C₄	—	34	1	no	—
1820	C₂×C₄	—	34	1	no	—
1821	C₂×C₄	—	34	1	no	—
1822	C₂×C₄	—	34	1	no	—
1823	C₂×C₄	—	34	1	no	—
1824	C₂×C₄	—	34	1	no	—
1825	C₂×C₄	—	34	1	no	—
1826	C₂×C₄	—	34	1	no	—
1827	C₂×C₄	—	34	1	no	—
1828	C₂×C₄	—	34	1	no	—
1829	C₂×C₄	—	34	1	no	—
1830	C₂×C₄	—	68	1	no	—
1831	C₂×C₄	—	68	1	no	—
1832	C₂×C₄	—	68	1	no	—
1833	C₂×C₄	—	68	1	no	—
1834	C₂×C₄	—	68	1	no	—
1835	C₂×C₄	—	68	2	no	—
1836	C₂×C₄	—	68	2	no	—
1837	C₂×C₄	—	68	2	no	—
1838	C₂×C₄	—	68	2	no	—
1839	C₂×C₄	—	68	1	no	—
1840	C₂×C₄	—	68	1	no	—
1841	C₂×C₄	—	68	2	no	—
1842	C₂×C₄	—	68	2	no	—
1843	C₂×C₄	—	136	1	no	—
1844	C₂×C₄	—	136	1	no	—
1845	C₂×C₄	—	136	1	no	—
1846	C₂×C₄	—	136	1	no	—
1847	C₂×C₄	—	136	1	no	—
1848	C₂×C₄	—	136	1	no	—
1849	C₂×C₄	—	136	1	no	—
1850	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1851	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1852	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1853	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1854	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₈	—	2	1	no	—
1859	C₈	—	34	1	no	—
1860	C₈	—	34	1	no	—
1861	C₈	—	34	1	no	—
1862	C₈	—	34	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	8	4	no	—
1881	C₂²	—	16	2	no	—
1882	C₂²	—	17	2	no	—
1883	C₂²	—	17	2	no	—
1884	C₂²	—	34	1	no	—
1885	C₂²	—	34	1	no	—
1886	C₂²	—	34	1	no	—
1887	C₂²	—	34	1	no	—
1888	C₂²	—	34	1	no	—
1889	C₂²	—	34	2	no	—
1890	C₂²	—	34	1	no	—
1891	C₂²	—	34	1	no	—
1892	C₂²	—	68	4	no	—
1893	C₂²	—	68	8	no	—
1894	C₂²	—	68	1	no	—
1895	C₂²	—	68	1	no	—
1896	C₂²	—	68	1	no	—
1897	C₂²	—	68	1	no	—
1898	C₂²	—	68	1	no	—
1899	C₂²	—	136	4	no	—
1900	C₂²	—	136	2	no	—
1901	C₂²	—	136	4	no	—
1902	C₂²	—	136	4	no	—
1903	C₂²	—	136	4	no	—
1904	C₂²	#135×D₁₇	1	2	yes	—
1905	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	4	1	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	34	1	no	—
1915	C₄	—	34	1	no	—
1916	C₄	—	34	1	no	—
1917	C₄	—	34	1	no	—
1918	C₄	—	34	1	no	—
1919	C₄	—	68	1	no	—
1920	C₄	—	68	1	no	—
1921	C₄	—	68	1	no	—
1922	C₄	—	68	1	no	—
1923	C₄	—	68	1	no	—
1924	C₄	—	68	1	no	—
1925	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1926	C₄	C₂×#10587691	1	1	yes	characteristic
1927	C₂	—	2	2	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	2	no	—
1930	C₂	—	8	1	no	—
1931	C₂	—	8	1	no	—
1932	C₂	—	8	1	no	—
1933	C₂	—	34	2	no	—
1934	C₂	—	34	2	no	—
1935	C₂	—	68	1	no	—
1936	C₂	—	68	2	no	—
1937	C₂	—	136	1	no	—
1938	C₂	#14542412	1	1	yes	characteristic
1939	C₂	C₂×#135×D₁₇	1	1	yes	characteristic
1940	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×#3280	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3280	D₁₇
hypocenter	C₁₇	#61561
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3280

Complements

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

N	H ≅ G/N	type
1. #14542611	C₂	semidirect
2. D₁₇×#546	C₂	semidirect
3. #14540641	C₂	semidirect
4. #14540639	C₂	semidirect
5. #14540629	C₂	semidirect
6. #14540627	C₂	semidirect
7. #14540625	C₂	semidirect
8. #14540623	C₂	semidirect
9. #14540621	C₂	semidirect
10. #14540619	C₂	semidirect
11. #14540497	C₂	semidirect
12. #14540494	C₂	semidirect
13. #14540490	C₂	semidirect
14. #14540485	C₂	semidirect
15. #14540469	C₂	semidirect
16. #14540465	C₂	semidirect
17. #14540462	C₂	semidirect
18. #14539747	C₂	semidirect
19. #14539744	C₂	semidirect
20. #14539555	C₂	semidirect
21. #14539547	C₂	semidirect
22. #14539544	C₂	semidirect
23. #14539538	C₂	semidirect
24. #14538830	C₂	semidirect
25. #14538829	C₂	semidirect
26. #14537999	C₂	semidirect
27. #14537998	C₂	semidirect
28. D₁₇×#450	C₂	semidirect
29. C₂×#11762941	C₂	semidirect
30. #14537805	C₂	semidirect
31. C₁₇×#3280	C₂	semidirect
32. C₂×#41×D₁₇	C₂²	semidirect
34. C₂×#10587602	C₂²	semidirect
35. C₂×#10587636	C₂²	semidirect
36. C₂×#10587598	C₂²	semidirect
37. C₂×SD₁₆×D₁₇	C₂²	semidirect
38. C₂×SD₁₆×D₁₇	C₂²	semidirect
39. C₂²×#63228	C₂²	semidirect
40. #11763509	C₂²	semidirect
42. #11763506	C₂²	semidirect
44. #11763501	C₂²	semidirect
45. #11763499	C₂²	semidirect
48. #11763467	C₂²	semidirect
49. #11763466	C₂²	semidirect
50. #11763456	C₂²	semidirect
52. #11763454	C₂²	semidirect
54. #11763453	C₂²	semidirect
55. #11763452	C₂²	semidirect
60. #11763447	C₂²	semidirect
65. #11763341	C₂²	semidirect
66. #11763338	C₂²	semidirect
67. #124×D₁₇	C₂²	semidirect
68. #11763319	C₂²	semidirect
69. #11763316	C₂²	semidirect
75. #121×D₁₇	C₂²	semidirect
79. C₄×D₄×D₁₇	C₂²	semidirect
81. #11763192	C₂²	semidirect
82. #11763191	C₂²	semidirect
83. #11763190	C₂²	semidirect
84. #11763165	C₂²	semidirect
85. #11763164	C₂²	semidirect
86. #11763163	C₂²	semidirect
87. #11763162	C₂²	semidirect
88. #11763146	C₂²	semidirect
89. #11763146	C₂²	semidirect
90. #11763143	C₂²	semidirect
91. #11763143	C₂²	semidirect
92. #11763140	C₂²	semidirect
93. #11763137	C₂²	semidirect
94. #11763136	C₂²	semidirect
95. #11763134	C₂²	semidirect
96. #11763132	C₂²	semidirect
97. #11763130	C₂²	semidirect
98. #11763126	C₂²	semidirect
99. #11763126	C₂²	semidirect
100. #11763112	C₂²	semidirect
101. #11763111	C₂²	semidirect
102. #11763110	C₂²	semidirect
103. #11763109	C₂²	semidirect
104. #11763050	C₂²	semidirect
105. #11763048	C₂²	semidirect
106. #11763048	C₂²	semidirect
107. #11763044	C₂²	semidirect
108. #11763043	C₂²	semidirect
109. #11763042	C₂²	semidirect
110. #11763041	C₂²	semidirect
111. #11763038	C₂²	semidirect
112. #11763037	C₂²	semidirect
113. #11763037	C₂²	semidirect
114. #11763036	C₂²	semidirect
115. #11763035	C₂²	semidirect
116. #11763035	C₂²	semidirect
117. #11763035	C₂²	semidirect
118. #11763033	C₂²	semidirect
119. #11763032	C₂²	semidirect
120. #11763029	C₂²	semidirect
121. #11763028	C₂²	semidirect
122. #11763026	C₂²	semidirect
123. #11763024	C₂²	semidirect
124. #11763023	C₂²	semidirect
125. #11763022	C₂²	semidirect
126. #11763022	C₂²	semidirect
127. #11763021	C₂²	semidirect
128. #11762973	C₂²	semidirect
129. #11762971	C₂²	semidirect
130. #11762970	C₂²	semidirect
131. #11762968	C₂²	semidirect
132. #11762966	C₂²	semidirect
133. #11762966	C₂²	semidirect
134. #11762963	C₂²	semidirect
135. #11762963	C₂²	semidirect
136. #11762962	C₂²	semidirect
137. #11762961	C₂²	semidirect
138. #11762961	C₂²	semidirect
139. #11762960	C₂²	semidirect
140. #11762960	C₂²	semidirect
141. #11762959	C₂²	semidirect
142. #11762958	C₂²	semidirect
143. #11762958	C₂²	semidirect
144. #11762955	C₂²	semidirect
145. #11762954	C₂²	semidirect
146. #11762953	C₂²	semidirect
147. #11762952	C₂²	semidirect
148. #11762951	C₂²	semidirect
149. #11762951	C₂²	semidirect
150. #11762946	C₂²	semidirect
151. #11762946	C₂²	semidirect
156. #11762941	C₂²	semidirect
157. #11762941	C₂²	semidirect
158. #11762941	C₂²	semidirect
159. #11762941	C₂²	semidirect
160. C₄×#63219	C₂²	semidirect
161. SD₁₆×Dic₁₇	C₂²	semidirect
162. C₄×#63229	C₂²	semidirect
163. #11762894	C₂²	semidirect
164. D₈×Dic₁₇	C₂²	semidirect
165. C₄×#63228	C₂²	semidirect
166. #11762889	C₂²	semidirect
167. C₈×D₆₈	C₂²	semidirect
168. D₄×#3622	C₂²	semidirect
169. #11762874	C₂²	semidirect
170. C₈×C₂²⋊D₁₇	C₂²	semidirect
171. C₈×C₂²⋊D₁₇	C₂²	semidirect
172. #11762872	C₂²	semidirect
173. #11762872	C₂²	semidirect
174. #11762861	C₂²	semidirect
175. #11762860	C₂²	semidirect
176. #11762806	C₂²	semidirect
177. #11762805	C₂²	semidirect
178. #11762804	C₂²	semidirect
179. #11762802	C₂²	semidirect
180. C₂×#10587492	C₂²	semidirect
181. C₂×#10587503	C₂²	semidirect
182. #102×D₁₇	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
185. C₂×#10587491	C₂²	semidirect
187. C₂²⋊C₈×D₁₇	C₂²	semidirect
188. C₂×C₁₇×#135	C₂²	semidirect
189. C₂²×D₈×C₁₇	C₂²	semidirect
191. C₁₇×#546	C₂²	semidirect
192. C₁₇×#495	C₂²	semidirect
193. C₁₇×#467	C₂²	semidirect
194. C₁₇×#466	C₂²	semidirect
195. C₁₇×#463	C₂²	semidirect
196. C₁₇×#463	C₂²	semidirect
197. C₁₇×#450	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₁₇×#449	C₂²	semidirect
200. C₁₇×#449	C₂²	semidirect
201. C₄×D₈×C₁₇	C₂²	semidirect
202. C₈×D₄×C₁₇	C₂²	semidirect
205. C₂×#41×C₁₇	C₂³	semidirect
217. C₂×#63254	C₂³	semidirect
237. C₂×Q₁₆×C₁₇	C₂³	semidirect
240. C₂×SD₁₆×C₁₇	C₂³	semidirect
241. C₂×SD₁₆×C₁₇	C₂³	semidirect
248. C₂²×C₈×C₁₇	C₂³	semidirect
250. C₁₇×#124	C₂³	semidirect
258. C₁₇×#121	C₂³	semidirect
263. C₄×D₄×C₁₇	C₂³	semidirect
275. #10587632	C₂³	semidirect
276. Q₈×Dic₁₇	C₂³	semidirect
277. C₂×#63231	C₂³	semidirect
278. C₂×#63231	C₂³	semidirect
295. #10587624	C₂³	semidirect
303. #10587622	C₂³	semidirect
312. D₄×Dic₁₇	C₂³	semidirect
315. C₂×#63229	C₂³	semidirect
316. C₂×#63229	C₂³	semidirect
337. #10587612	C₂³	semidirect
342. #10587610	C₂³	semidirect
344. C₂²×#3622	C₂³	semidirect
349. C₂×Dic₆₈	C₂³	semidirect
354. C₂×C₈×D₁₇	C₂³	semidirect
355. C₂×C₈×D₁₇	C₂³	semidirect
367. #10587578	C₂³	semidirect
374. #10587576	C₂³	semidirect
428. #10587556	C₂³	semidirect
429. C₄×Dic₃₄	C₂³	semidirect
430. C₁₇×#107	C₂³	semidirect
431. C₁₇×C₄⋊C₈	C₂³	semidirect
432. C₁₇×#103	C₂³	semidirect
433. C₁₇×#103	C₂³	semidirect
436. C₁₇×#102	C₂³	semidirect
437. C₁₇×#102	C₂³	semidirect
439. C₁₇×C₂²⋊C₈	C₂³	semidirect
440. C₄×C₈×C₁₇	C₂³	semidirect
441. #10587506	C₂³	semidirect
442. #10587506	C₂³	semidirect
443. #10587506	C₂³	semidirect
444. #10587506	C₂³	semidirect
451. #10587503	C₂³	semidirect
452. #10587503	C₂³	semidirect
454. C₂²⋊#3622	C₂³	semidirect
467. #10587491	C₂³	semidirect
468. #10587491	C₂³	semidirect
469. #10587489	C₂³	semidirect
470. #10587488	C₂³	semidirect
471. #10587488	C₂³	semidirect
472. #10587487	C₂³	semidirect
473. #10587487	C₂³	semidirect
474. #10587487	C₂³	semidirect
475. #10587487	C₂³	semidirect
476. #10587485	C₂³	semidirect
477. #10587485	C₂³	semidirect
478. C₈×Dic₁₇	C₂³	semidirect
479. C₈×Dic₁₇	C₂³	semidirect
480. #10587481	C₂³	semidirect
481. #10587481	C₂³	semidirect
484. #10587479	C₂³	semidirect
485. #10587479	C₂³	semidirect
486. #10587478	C₂³	semidirect
487. #10587478	C₂³	semidirect
488. C₄⋊#3622	C₂³	semidirect
489. C₄×#3622	C₂³	semidirect
777. C₂²×D₁₇	#135	semidirect
910. #3280	D₁₇	semidirect
993. C₂×#135	C₂×D₁₇	semidirect
997. C₂²×D₈	C₂×D₁₇	semidirect
1021. #546	C₂×D₁₇	semidirect
1044. #495	C₂×D₁₇	semidirect
1068. #467	C₂×D₁₇	semidirect
1072. #466	C₂×D₁₇	semidirect
1091. #463	C₂×D₁₇	semidirect
1092. #463	C₂×D₁₇	semidirect
1109. #450	C₂×D₁₇	semidirect
1110. #450	C₂×D₁₇	semidirect
1117. #449	C₂×D₁₇	semidirect
1118. #449	C₂×D₁₇	semidirect
1136. C₄×D₈	C₂×D₁₇	semidirect
1144. C₈×D₄	C₂×D₁₇	semidirect
1183. C₂×#41	C₂²×D₁₇	semidirect
1213. C₂×Q₁₆	C₂²×D₁₇	semidirect
1226. C₂×SD₁₆	C₂²×D₁₇	semidirect
1227. C₂×SD₁₆	C₂²×D₁₇	semidirect
1245. C₂²×C₈	C₂²×D₁₇	semidirect
1265. #124	C₂²×D₁₇	semidirect
1327. #121	C₂²×D₁₇	semidirect
1367. C₄×D₄	C₂²×D₁₇	semidirect
1403. #107	C₂²×D₁₇	semidirect
1411. C₄⋊C₈	C₂²×D₁₇	semidirect
1422. #103	C₂²×D₁₇	semidirect
1423. #103	C₂²×D₁₇	semidirect
1442. #102	C₂²×D₁₇	semidirect
1443. #102	C₂²×D₁₇	semidirect
1455. C₂²⋊C₈	C₂²×D₁₇	semidirect
1459. C₄×C₈	C₂²×D₁₇	semidirect
1460. C₁₇	#61561	semidirect

Maximal subgroups

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

subgroup	index
#14542611	2
D₁₇×#546	2
#14540641	2
#14540639	2
#14540629	2
#14540627	2
#14540625	2
#14540623	2
#14540621	2
#14540619	2
#14540497	2
#14540494	2
#14540490	2
#14540485	2
#14540469	2
#14540465	2
#14540462	2
#14539747	2
#14539744	2
#14539555	2
#14539547	2
#14539544	2
#14539538	2
#14538830	2
#14538829	2
#14537999	2
#14537998	2
D₁₇×#450	2
C₂×#11762941	2
#14537805	2
C₁₇×#3280	2
#61561	17