Subgroups — #17920416

Order 4352.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14543030	C₂	1	1	yes	maximal, characteristic, complemented
2	#14542414	C₂	1	1	yes	maximal, characteristic
3	#14540808	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540802	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540801	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540799	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540620	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540618	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540617	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×#63219	C₂	1	1	yes	maximal, characteristic, complemented
11	SD₁₆×D₆₈	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540478	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540477	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540292	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540291	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540290	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540289	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539859	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539853	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539658	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539650	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539570	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539566	C₂	1	1	yes	maximal, characteristic, complemented
24	#14539038	C₂	1	1	yes	maximal, characteristic, complemented
25	#14539033	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538064	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538058	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11762961	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537837	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3296	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587696	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587604	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587637	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#63219	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#63219	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#63229	C₂²	1	1	yes	characteristic, complemented
39	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×SD₁₆×D₁₇	C₂²	1	1	yes	characteristic, complemented
42	#11763563	—	2	1	no	—
43	#11763561	—	2	1	no	—
44	#11763498	C₂²	1	1	yes	characteristic, complemented
45	#11763497	C₂²	1	1	yes	characteristic, complemented
46	#11763494	C₂²	1	1	yes	characteristic, complemented
47	#11763483	—	2	1	no	—
48	#11763482	—	2	1	no	—
49	Q₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
50	D₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
51	#11763472	C₂²	1	1	yes	characteristic, complemented
52	#11763472	C₂²	1	1	yes	characteristic, complemented
53	#11763452	C₂²	1	1	yes	characteristic
54	#11763451	—	2	1	no	—
55	#11763450	C₂²	1	1	yes	characteristic
56	#11763449	—	2	1	no	—
57	#11763447	C₂²	1	1	yes	characteristic
58	D₄×D₆₈	C₂²	1	1	yes	characteristic
59	D₄×D₆₈	C₂²	1	1	yes	characteristic
60	#11763443	—	2	1	no	—
61	#11763443	C₂²	1	1	yes	characteristic
62	D₄×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic
63	#11763441	—	2	1	no	—
64	#11763439	—	2	1	no	—
65	#11763437	—	2	1	no	—
66	#11763422	C₂²	1	1	yes	characteristic, complemented
67	#11763417	C₂²	1	1	yes	characteristic, complemented
68	#11763403	—	2	1	no	—
69	#11763400	—	2	1	no	—
70	#11763385	C₂²	1	1	yes	characteristic, complemented
71	#11763382	C₂²	1	1	yes	characteristic, complemented
72	#11763377	C₂²	1	1	yes	characteristic
73	#11763375	C₂²	1	1	yes	characteristic
74	#11763370	—	2	1	no	—
75	#11763367	—	2	1	no	—
76	#11763322	C₂²	1	1	yes	characteristic
77	#11763318	C₂²	1	1	yes	characteristic
78	C₂×#10587583	C₂²	1	1	yes	characteristic, complemented
79	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
80	C₂×#10587568	—	2	1	no	—
81	#120×D₁₇	—	2	1	no	—
82	#11763281	C₂²	1	1	yes	characteristic
83	#11763204	C₂²	1	1	yes	characteristic, complemented
84	#11763202	C₂²	1	1	yes	characteristic, complemented
85	#11763182	C₂²	1	1	yes	characteristic, complemented
86	#11763180	C₂²	1	1	yes	characteristic, complemented
87	#11763175	C₂²	1	1	yes	characteristic, complemented
88	#11763172	C₂²	1	1	yes	characteristic, complemented
89	#11763165	C₂²	1	1	yes	characteristic, complemented
90	#11763153	C₂²	1	1	yes	characteristic, complemented
91	#11763153	C₂²	1	1	yes	characteristic, complemented
92	#11763152	C₂²	1	1	yes	characteristic, complemented
93	#11763148	C₂²	1	1	yes	characteristic, complemented
94	#11763138	C₂²	1	1	yes	characteristic, complemented
95	#11763135	C₂²	1	1	yes	characteristic, complemented
96	#11763133	C₂²	1	1	yes	characteristic, complemented
97	#11763132	C₂²	1	1	yes	characteristic, complemented
98	#11763124	C₂²	1	1	yes	characteristic, complemented
99	#11763122	C₂²	1	1	yes	characteristic, complemented
100	#11763111	C₂²	1	1	yes	characteristic, complemented
101	#11763108	C₂²	1	1	yes	characteristic, complemented
102	#11763106	C₂²	1	1	yes	characteristic, complemented
103	#11763057	C₂²	1	1	yes	characteristic, complemented
104	#11763056	C₂²	1	1	yes	characteristic, complemented
105	#11763054	C₂²	1	1	yes	characteristic, complemented
106	#11763053	C₂²	1	1	yes	characteristic, complemented
107	#11763049	C₂²	1	1	yes	characteristic, complemented
108	#11763049	C₂²	1	1	yes	characteristic, complemented
109	#11763048	C₂²	1	1	yes	characteristic, complemented
110	#11763040	C₂²	1	1	yes	characteristic, complemented
111	#11763039	C₂²	1	1	yes	characteristic, complemented
112	#11763039	C₂²	1	1	yes	characteristic, complemented
113	#11763039	C₂²	1	1	yes	characteristic, complemented
114	#11763038	C₂²	1	1	yes	characteristic, complemented
115	#11763038	C₂²	1	1	yes	characteristic, complemented
116	#11763037	C₂²	1	1	yes	characteristic, complemented
117	#11763034	C₂²	1	1	yes	characteristic, complemented
118	#11763034	C₂²	1	1	yes	characteristic, complemented
119	#11763028	C₂²	1	1	yes	characteristic, complemented
120	#11763015	C₂²	1	1	yes	characteristic, complemented
121	#11763014	C₂²	1	1	yes	characteristic, complemented
122	#11763013	C₂²	1	1	yes	characteristic, complemented
123	#11763012	C₂²	1	1	yes	characteristic, complemented
124	#11763010	C₂²	1	1	yes	characteristic, complemented
125	#11763009	C₂²	1	1	yes	characteristic, complemented
126	#11763008	C₂²	1	1	yes	characteristic, complemented
127	#11763008	C₂²	1	1	yes	characteristic, complemented
128	#11762974	C₂²	1	1	yes	characteristic, complemented
129	#11762974	C₂²	1	1	yes	characteristic, complemented
130	#11762974	C₂²	1	1	yes	characteristic, complemented
131	#11762974	C₂²	1	1	yes	characteristic, complemented
132	#11762974	C₂²	1	1	yes	characteristic, complemented
133	#11762971	C₂²	1	1	yes	characteristic, complemented
134	#11762970	C₂²	1	1	yes	characteristic, complemented
135	#11762964	C₂²	1	1	yes	characteristic, complemented
136	#11762963	C₂²	1	1	yes	characteristic, complemented
137	#11762962	C₂²	1	1	yes	characteristic, complemented
138	#11762962	C₂²	1	1	yes	characteristic, complemented
139	#11762961	C₂²	1	1	yes	characteristic
140	#11762961	C₂²	1	1	yes	characteristic
141	#11762961	C₂²	1	1	yes	characteristic
142	#11762961	C₂²	1	1	yes	characteristic, complemented
143	#11762961	C₂²	1	1	yes	characteristic, complemented
144	#11762961	C₂²	1	1	yes	characteristic, complemented
145	#11762961	C₂²	1	1	yes	characteristic, complemented
146	#11762961	C₂²	1	1	yes	characteristic, complemented
147	#11762961	C₂²	1	1	yes	characteristic, complemented
148	#11762961	C₂²	1	1	yes	characteristic, complemented
149	#11762961	C₂²	1	1	yes	characteristic, complemented
150	#11762961	C₂²	1	1	yes	characteristic, complemented
151	#11762960	C₂²	1	1	yes	characteristic, complemented
152	#11762959	C₂²	1	1	yes	characteristic, complemented
153	#11762959	C₂²	1	1	yes	characteristic, complemented
154	#11762958	C₂²	1	1	yes	characteristic
155	#11762958	C₂²	1	1	yes	characteristic, complemented
156	#11762950	C₂²	1	1	yes	characteristic, complemented
157	#11762950	C₂²	1	1	yes	characteristic, complemented
158	#11762949	C₂²	1	1	yes	characteristic, complemented
159	#11762949	C₂²	1	1	yes	characteristic, complemented
160	#11762947	C₂²	1	1	yes	characteristic, complemented
161	#11762946	C₂²	1	1	yes	characteristic, complemented
162	#11762909	C₂²	1	1	yes	characteristic, complemented
163	#11762908	C₂²	1	1	yes	characteristic, complemented
164	#11762907	C₂²	1	1	yes	characteristic, complemented
165	#11762906	C₂²	1	1	yes	characteristic, complemented
166	#11762900	C₂²	1	1	yes	characteristic, complemented
167	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
168	#11762896	C₂²	1	1	yes	characteristic, complemented
169	#11762883	C₂²	1	1	yes	characteristic, complemented
170	#11762881	C₂²	1	1	yes	characteristic, complemented
171	#11762880	C₂²	1	1	yes	characteristic, complemented
172	#11762879	C₂²	1	1	yes	characteristic, complemented
173	C₈×D₆₈	C₂²	1	1	yes	characteristic, complemented
174	C₈×C₂²⋊D₁₇	C₂²	1	1	yes	characteristic, complemented
175	#11762872	C₂²	1	1	yes	characteristic, complemented
176	#11762869	C₂²	1	1	yes	characteristic, complemented
177	#11762868	C₂²	1	1	yes	characteristic, complemented
178	#11762813	C₂²	1	1	yes	characteristic, complemented
179	#11762812	C₂²	1	1	yes	characteristic, complemented
180	#11762804	C₂²	1	1	yes	characteristic, complemented
181	C₂×#10587480	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	#11762775	C₂²	1	1	yes	characteristic, complemented
185	#11762774	C₂²	1	1	yes	characteristic, complemented
186	C₂×#10587491	C₂²	1	1	yes	characteristic, complemented
187	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#552	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#546	C₂²	1	1	yes	characteristic
190	C₁₇×#488	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#483	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#465	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
199	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#416	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	C₂²×C₂²⋊D₁₇	—	2	1	no	—
208	#10587696	—	4	2	no	—
209	#10587696	—	4	2	no	—
210	C₂×#63256	C₂³	1	1	yes	characteristic
211	C₂×#63256	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
214	C₂×D₄×D₁₇	—	2	1	no	—
215	C₂×D₄×D₁₇	—	2	1	no	—
216	C₂×D₄×D₁₇	—	2	1	no	—
217	C₂×D₄×D₁₇	—	2	1	no	—
218	C₂×D₄×D₁₇	—	2	1	no	—
219	C₂×D₄×D₁₇	—	2	1	no	—
220	C₂×D₄×D₁₇	—	4	2	no	—
221	C₂×D₄×D₁₇	—	4	2	no	—
222	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
227	C₂×#63252	—	2	1	no	—
228	C₂×#63252	C₂³	1	1	yes	characteristic
229	C₂²×D₆₈	—	2	1	no	—
230	C₂²×D₆₈	—	2	1	no	—
231	C₂²×D₆₈	C₂³	1	1	yes	characteristic
232	C₂²×D₆₈	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
234	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
235	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
236	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
237	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
240	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
241	C₁₇×#126	—	2	1	no	—
242	C₁₇×#125	—	2	1	no	—
243	C₁₇×#125	C₂³	1	1	yes	characteristic, complemented
244	C₁₇×#124	C₂³	1	1	yes	characteristic
245	C₁₇×#123	—	2	1	no	—
246	C₁₇×#123	—	2	1	no	—
247	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
250	C₁₇×#121	—	2	1	no	—
251	C₁₇×#121	C₂³	1	1	yes	characteristic
252	C₁₇×#120	—	2	1	no	—
253	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
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, complemented
258	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
260	#10587639	—	2	1	no	—
261	#10587637	—	4	2	no	—
262	#10587633	C₂³	1	1	yes	characteristic
263	#10587632	C₂³	1	1	yes	characteristic
264	#10587632	C₂³	1	1	yes	characteristic
265	#10587630	C₂³	1	1	yes	characteristic, complemented
266	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
267	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
268	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
269	C₂×#63230	C₂³	1	1	yes	characteristic
270	C₂×#63230	C₂³	1	1	yes	characteristic
271	C₂×#63230	C₂³	1	1	yes	characteristic, complemented
272	#10587626	—	2	1	no	—
273	#10587626	C₂³	1	1	yes	characteristic
274	#10587625	—	2	1	no	—
275	#10587625	—	2	1	no	—
276	#10587625	D₄	1	1	yes	characteristic
277	#10587624	C₂³	1	1	yes	characteristic
278	#10587623	—	2	1	no	—
279	#10587623	—	2	1	no	—
280	#10587623	—	2	1	no	—
281	#10587623	—	2	1	no	—
282	#10587623	D₄	1	1	yes	characteristic
283	D₄×Dic₁₇	—	2	1	no	—
284	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂×#63229	—	4	2	no	—
286	C₂×#63229	C₂³	1	1	yes	characteristic
287	C₂×#63229	C₂³	1	1	yes	characteristic
288	C₂×#63229	C₂³	1	1	yes	characteristic
289	C₂×#63229	C₂³	1	1	yes	characteristic
290	C₂×#63229	C₂³	1	1	yes	characteristic
291	C₂×#63229	C₂³	1	1	yes	characteristic
292	#10587616	—	2	1	no	—
293	#10587616	C₂³	1	1	yes	characteristic
294	#10587616	C₂³	1	1	yes	characteristic
295	#10587615	—	2	1	no	—
296	#10587615	—	2	1	no	—
297	C₄×C₂²⋊D₁₇	—	2	1	no	—
298	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
300	C₂×#63227	—	2	1	no	—
301	C₂×#63227	—	2	1	no	—
302	C₂×#63227	—	2	1	no	—
303	#10587612	—	2	1	no	—
304	C₂×C₄⋊Dic₁₇	—	2	1	no	—
305	#10587610	C₂³	1	1	yes	characteristic
306	#10587610	C₂³	1	1	yes	characteristic, complemented
307	C₂×#63223	C₂³	1	1	yes	characteristic, complemented
308	C₂²×#3622	C₂³	1	1	yes	characteristic
309	#10587604	—	4	2	no	—
310	SD₁₆×D₁₇	—	4	2	no	—
311	SD₁₆×D₁₇	—	4	2	no	—
312	SD₁₆×D₁₇	—	4	2	no	—
313	C₂×#63219	—	4	2	no	—
314	C₂×#63219	—	4	2	no	—
315	C₂×#63219	C₂³	1	1	yes	characteristic
316	C₂×#63219	C₂³	1	1	yes	characteristic
317	C₂×#63219	C₂³	1	1	yes	characteristic
318	C₂×#63219	C₂³	1	1	yes	characteristic
319	C₂×#63219	C₂³	1	1	yes	characteristic
320	C₂×#63219	C₂³	1	1	yes	characteristic
321	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
322	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
323	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
324	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
325	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic, complemented
328	#10587584	—	2	1	no	—
329	#10587584	—	2	1	no	—
330	#10587584	—	2	1	no	—
331	#10587584	—	2	1	no	—
332	#10587584	—	2	1	no	—
333	#10587583	—	2	1	no	—
334	#10587583	—	2	1	no	—
335	#10587583	—	2	1	no	—
336	#10587583	—	2	1	no	—
337	#10587583	C₂³	1	1	yes	characteristic
338	#10587583	C₂³	1	1	yes	characteristic
339	#10587583	C₂³	1	1	yes	characteristic
340	#10587583	C₂³	1	1	yes	characteristic
341	#10587583	C₂³	1	1	yes	characteristic
342	#10587583	C₂³	1	1	yes	characteristic, complemented
343	#10587583	C₂³	1	1	yes	characteristic, complemented
344	#10587582	—	2	1	no	—
345	#10587582	—	2	1	no	—
346	#10587582	—	2	1	no	—
347	#10587582	D₄	1	1	yes	characteristic
348	#10587581	—	2	1	no	—
349	#10587581	—	2	1	no	—
350	#10587581	C₂³	1	1	yes	characteristic
351	#10587581	C₂³	1	1	yes	characteristic
352	#10587580	—	2	1	no	—
353	#10587580	—	2	1	no	—
354	#10587580	—	2	1	no	—
355	#10587580	—	2	1	no	—
356	#10587580	D₄	1	1	yes	characteristic
357	#10587579	—	2	1	no	—
358	#10587579	C₂³	1	1	yes	characteristic
359	#10587578	—	2	1	no	—
360	#10587578	C₂³	1	1	yes	characteristic
361	#10587578	C₂³	1	1	yes	characteristic, complemented
362	C₄⋊C₄×D₁₇	—	2	1	no	—
363	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
364	#10587576	—	2	1	no	—
365	#10587576	—	2	1	no	—
366	#10587576	—	2	1	no	—
367	#10587576	C₂³	1	1	yes	characteristic, complemented
368	#10587575	—	2	1	no	—
369	#10587575	—	2	1	no	—
370	#10587574	—	2	1	no	—
371	#10587574	—	2	1	no	—
372	#10587574	—	2	1	no	—
373	#10587574	—	2	1	no	—
374	#10587573	C₂³	1	1	yes	characteristic, complemented
375	#10587573	C₂³	1	1	yes	characteristic, complemented
376	#10587572	—	2	1	no	—
377	#10587572	—	2	1	no	—
378	#10587571	—	2	1	no	—
379	#10587571	—	2	1	no	—
380	#10587570	—	2	1	no	—
381	#10587570	—	2	1	no	—
382	#10587570	—	2	1	no	—
383	#10587570	—	2	1	no	—
384	#10587570	D₄	1	1	yes	characteristic
385	#10587569	—	2	1	no	—
386	#10587569	—	2	1	no	—
387	#10587569	—	2	1	no	—
388	#10587569	D₄	1	1	yes	characteristic
389	#10587568	—	2	1	no	—
390	#10587568	—	2	1	no	—
391	#10587568	—	2	1	no	—
392	#10587568	—	2	1	no	—
393	#10587568	—	2	1	no	—
394	#10587568	—	2	1	no	—
395	#10587568	—	2	1	no	—
396	#10587568	—	2	1	no	—
397	#10587568	—	2	1	no	—
398	#10587568	—	2	1	no	—
399	#10587568	—	2	1	no	—
400	#10587568	D₄	1	1	yes	characteristic
401	#10587567	—	2	1	no	—
402	#10587567	—	2	1	no	—
403	#10587567	—	2	1	no	—
404	#10587567	—	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	#10587565	—	2	1	no	—
410	#10587564	—	2	1	no	—
411	#10587564	—	2	1	no	—
412	#10587564	—	2	1	no	—
413	#10587564	—	2	1	no	—
414	#10587564	—	2	1	no	—
415	#10587564	D₄	1	1	yes	characteristic
416	#10587562	—	2	1	no	—
417	#10587561	—	2	1	no	—
418	#10587560	C₂³	1	1	yes	characteristic
419	C₄×D₆₈	—	2	1	no	—
420	C₄×D₆₈	C₂³	1	1	yes	characteristic
421	C₄×D₆₈	C₂³	1	1	yes	characteristic
422	#10587558	—	2	1	no	—
423	#10587558	C₂³	1	1	yes	characteristic
424	#10587556	—	2	1	no	—
425	#10587556	—	2	1	no	—
426	#10587555	—	2	1	no	—
427	#10587555	—	2	1	no	—
428	#10587555	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×#106	C₂³	1	1	yes	characteristic, complemented
432	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
433	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
434	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
436	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
437	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
438	C₁₇×#102	C₂³	1	1	yes	characteristic
439	C₁₇×#102	C₂³	1	1	yes	characteristic
440	C₁₇×#102	C₂³	1	1	yes	characteristic
441	C₁₇×#102	C₂³	1	1	yes	characteristic
442	C₁₇×#102	C₂³	1	1	yes	characteristic
443	C₁₇×#102	C₂³	1	1	yes	characteristic
444	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
446	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
447	#10587506	C₂³	1	1	yes	characteristic, complemented
448	#10587506	C₂³	1	1	yes	characteristic, complemented
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
451	C₂²⋊#3622	C₂³	1	1	yes	characteristic
452	C₂²⋊#3622	C₂³	1	1	yes	characteristic, complemented
453	#10587492	C₂³	1	1	yes	characteristic
454	#10587492	C₂³	1	1	yes	characteristic
455	#10587492	C₂³	1	1	yes	characteristic, complemented
456	#10587491	C₂³	1	1	yes	characteristic
457	#10587491	C₂³	1	1	yes	characteristic
458	#10587491	C₂³	1	1	yes	characteristic
459	#10587491	C₂³	1	1	yes	characteristic
460	#10587491	C₂³	1	1	yes	characteristic
461	#10587491	C₂³	1	1	yes	characteristic
462	#10587491	C₂³	1	1	yes	characteristic, complemented
463	#10587491	C₂³	1	1	yes	characteristic, complemented
464	#10587488	C₂³	1	1	yes	characteristic, complemented
465	#10587487	C₂³	1	1	yes	characteristic, complemented
466	#10587487	C₂³	1	1	yes	characteristic, complemented
467	#10587487	C₂³	1	1	yes	characteristic, complemented
468	#10587486	C₂³	1	1	yes	characteristic, complemented
469	#10587485	C₂³	1	1	yes	characteristic, complemented
470	#10587485	C₂³	1	1	yes	characteristic, complemented
471	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
472	#10587481	C₂³	1	1	yes	characteristic, complemented
473	#10587481	C₂³	1	1	yes	characteristic, complemented
474	#10587481	C₂³	1	1	yes	characteristic, complemented
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	#10587480	C₂³	1	1	yes	characteristic
480	#10587480	C₂³	1	1	yes	characteristic
481	#10587480	C₂³	1	1	yes	characteristic, complemented
482	#10587480	C₂³	1	1	yes	characteristic, complemented
483	#10587480	C₂³	1	1	yes	characteristic, complemented
484	#10587479	C₂³	1	1	yes	characteristic, complemented
485	#10587478	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	#10587474	C₂³	1	1	yes	characteristic, complemented
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂³×D₁₇	—	2	1	no	—
492	C₂³×D₁₇	—	2	1	no	—
493	C₂³×D₁₇	—	2	1	no	—
494	C₂³×D₁₇	—	2	1	no	—
495	C₂³×D₁₇	—	2	1	no	—
496	C₂³×D₁₇	—	2	1	no	—
497	C₂³×D₁₇	—	2	1	no	—
498	C₂³×D₁₇	—	4	4	no	—
499	C₂³×D₁₇	—	8	2	no	—
500	C₂³×D₁₇	—	8	2	no	—
501	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
502	#41×C₁₇	—	2	2	no	—
503	#41×C₁₇	—	4	1	no	—
504	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₇	—	2	2	no	—
507	C₂×D₄×C₁₇	—	2	1	no	—
508	C₂×D₄×C₁₇	—	2	1	no	—
509	C₂×D₄×C₁₇	—	2	1	no	—
510	C₂×D₄×C₁₇	—	4	1	no	—
511	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₇	—	2	1	no	—
515	C₂²×C₄×C₁₇	—	2	1	no	—
516	C₂²×C₄×C₁₇	—	2	1	no	—
517	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
525	C₂×C₂²⋊D₁₇	—	2	1	no	—
526	C₂×C₂²⋊D₁₇	—	2	1	no	—
527	C₂×C₂²⋊D₁₇	—	2	1	no	—
528	C₂×C₂²⋊D₁₇	—	2	1	no	—
529	C₂×C₂²⋊D₁₇	—	4	4	no	—
530	C₂×C₂²⋊D₁₇	—	8	2	no	—
531	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₁₇	—	2	1	no	—
536	C₂²×Dic₁₇	—	2	1	no	—
537	C₂²×Dic₁₇	—	2	1	no	—
538	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
539	#63256	—	2	2	no	—
540	#63256	—	4	1	no	—
541	#63256	—	4	1	no	—
542	#63256	—	4	1	no	—
543	Q₈×D₁₇	—	4	1	no	—
544	Q₈×D₁₇	—	4	1	no	—
545	Q₈×D₁₇	—	4	1	no	—
546	Q₈×D₁₇	—	4	1	no	—
547	D₄×D₁₇	—	2	2	no	—
548	D₄×D₁₇	—	2	2	no	—
549	D₄×D₁₇	—	2	2	no	—
550	D₄×D₁₇	—	2	2	no	—
551	D₄×D₁₇	—	2	2	no	—
552	D₄×D₁₇	—	4	1	no	—
553	D₄×D₁₇	—	4	1	no	—
554	D₄×D₁₇	—	4	1	no	—
555	D₄×D₁₇	—	4	1	no	—
556	D₄×D₁₇	—	4	1	no	—
557	D₄×D₁₇	—	4	4	no	—
558	D₄×D₁₇	—	4	4	no	—
559	D₄×D₁₇	—	4	4	no	—
560	D₄×D₁₇	—	4	4	no	—
561	D₄×D₁₇	—	8	2	no	—
562	D₄×D₁₇	—	8	2	no	—
563	#63252	—	4	1	no	—
564	#63252	—	4	1	no	—
565	#63252	—	4	4	no	—
566	C₂×D₆₈	—	2	2	no	—
567	C₂×D₆₈	—	2	2	no	—
568	C₂×D₆₈	—	2	1	no	—
569	C₂×D₆₈	—	2	1	no	—
570	C₂×D₆₈	—	2	1	no	—
571	C₂×D₆₈	—	2	1	no	—
572	C₂×D₆₈	—	2	1	no	—
573	C₂×D₆₈	—	2	1	no	—
574	C₂×D₆₈	—	2	1	no	—
575	C₂×D₆₈	—	2	1	no	—
576	C₂×D₆₈	—	4	1	no	—
577	C₂×D₆₈	—	4	1	no	—
578	C₂×D₆₈	—	4	4	no	—
579	C₂×D₆₈	—	8	2	no	—
580	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
581	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
582	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
583	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
584	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
591	C₂×C₄×D₁₇	—	2	1	no	—
592	C₂×C₄×D₁₇	—	4	1	no	—
593	C₂×C₄×D₁₇	—	4	1	no	—
594	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₃₄	—	2	1	no	—
600	C₂×Dic₃₄	—	2	1	no	—
601	C₂×Dic₃₄	—	2	1	no	—
602	C₂×Dic₃₄	—	2	1	no	—
603	C₂×Dic₃₄	—	4	1	no	—
604	C₂×Dic₃₄	—	4	1	no	—
605	C₂×Dic₃₄	—	4	1	no	—
606	C₂×Dic₃₄	—	4	1	no	—
607	C₂×Dic₃₄	C₂×D₄	1	1	yes	characteristic
608	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
611	Q₁₆×C₁₇	—	4	1	no	—
612	SD₁₆×C₁₇	—	2	2	no	—
613	SD₁₆×C₁₇	—	4	1	no	—
614	C₂×C₈×C₁₇	—	4	1	no	—
615	C₂×C₈×C₁₇	—	4	1	no	—
616	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₁₇	—	2	1	no	—
621	C₄⋊C₄×C₁₇	—	2	1	no	—
622	C₄⋊C₄×C₁₇	—	2	1	no	—
623	C₄⋊C₄×C₁₇	—	2	1	no	—
624	C₄⋊C₄×C₁₇	—	2	1	no	—
625	C₄⋊C₄×C₁₇	—	2	1	no	—
626	C₄⋊C₄×C₁₇	—	2	1	no	—
627	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
628	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
632	C₂²⋊C₄×C₁₇	—	2	1	no	—
633	C₂²⋊C₄×C₁₇	—	2	1	no	—
634	C₂²⋊C₄×C₁₇	—	2	1	no	—
635	C₂²⋊C₄×C₁₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
642	C₄²×C₁₇	—	2	1	no	—
643	C₄²×C₁₇	—	2	1	no	—
644	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
645	C₂²⋊Dic₁₇	—	2	1	no	—
646	C₂²⋊Dic₁₇	—	2	1	no	—
647	C₂²⋊Dic₁₇	—	2	1	no	—
648	C₂²⋊Dic₁₇	—	2	1	no	—
649	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
651	#63231	—	4	1	no	—
652	#63231	—	4	1	no	—
653	#63231	—	4	1	no	—
654	#63230	—	2	2	no	—
655	#63230	—	4	1	no	—
656	#63230	—	4	1	no	—
657	#63229	—	2	2	no	—
658	#63229	—	2	2	no	—
659	#63229	—	2	2	no	—
660	#63229	—	4	1	no	—
661	#63229	—	4	1	no	—
662	#63229	—	4	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	—	2	1	no	—
674	#63227	—	2	1	no	—
675	#63227	—	2	1	no	—
676	#63227	—	2	1	no	—
677	#63227	—	2	1	no	—
678	#63227	—	2	1	no	—
679	#63227	—	2	1	no	—
680	#63227	—	2	1	no	—
681	#63227	—	2	1	no	—
682	#63227	C₂×D₄	1	1	yes	characteristic
683	#63227	C₂×D₄	1	1	yes	characteristic
684	#63227	C₂×D₄	1	1	yes	characteristic
685	#63227	C₂×D₄	1	1	yes	characteristic
686	#63227	C₂×D₄	1	1	yes	characteristic
687	#63227	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₇	—	2	1	no	—
689	C₄⋊Dic₁₇	—	2	1	no	—
690	C₄⋊Dic₁₇	—	2	1	no	—
691	C₄⋊Dic₁₇	—	2	1	no	—
692	C₄⋊Dic₁₇	—	2	1	no	—
693	C₄⋊Dic₁₇	—	2	1	no	—
694	C₄⋊Dic₁₇	—	2	1	no	—
695	C₄⋊Dic₁₇	—	2	1	no	—
696	C₄⋊Dic₁₇	—	2	1	no	—
697	C₄⋊Dic₁₇	—	2	1	no	—
698	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
699	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
701	#63225	—	2	1	no	—
702	#63225	—	2	1	no	—
703	#63225	—	2	1	no	—
704	#63225	—	2	1	no	—
705	#63225	—	2	1	no	—
706	#63225	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
713	#63225	C₂×D₄	1	1	yes	characteristic
714	#63225	C₂×D₄	1	1	yes	characteristic
715	#63225	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₁₇	—	2	1	no	—
717	C₄×Dic₁₇	—	2	1	no	—
718	C₄×Dic₁₇	—	2	1	no	—
719	C₄×Dic₁₇	—	2	1	no	—
720	C₄×Dic₁₇	—	2	1	no	—
721	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
722	#63223	—	4	1	no	—
723	C₂×#3622	—	4	1	no	—
724	C₂×#3622	C₂⁴	1	1	yes	characteristic
725	C₂×#3622	C₂⁴	1	1	yes	characteristic
726	C₂×#3622	C₂⁴	1	1	yes	characteristic
727	C₂×#3622	C₂⁴	1	1	yes	characteristic
728	#63219	—	2	2	no	—
729	#63219	—	2	2	no	—
730	#63219	—	2	2	no	—
731	#63219	—	4	1	no	—
732	#63219	—	4	1	no	—
733	#63219	—	4	1	no	—
734	#63219	—	4	1	no	—
735	#63219	—	4	1	no	—
736	#63219	—	4	1	no	—
737	#63218	—	4	1	no	—
738	C₈×D₁₇	—	4	1	no	—
739	C₈×D₁₇	—	4	1	no	—
740	C₈×D₁₇	—	4	1	no	—
741	#61631	—	17	1	no	maximal, Sylow
742	C₂³×C₁₇	—	2	1	no	—
743	C₂³×C₁₇	—	2	1	no	—
744	C₂³×C₁₇	—	4	2	no	—
745	C₂³×C₁₇	—	4	2	no	—
746	C₂³×C₁₇	—	8	1	no	—
747	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
748	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
749	C₂²×D₁₇	—	2	2	no	—
750	C₂²×D₁₇	—	2	1	no	—
751	C₂²×D₁₇	—	2	4	no	—
752	C₂²×D₁₇	—	2	2	no	—
753	C₂²×D₁₇	—	2	1	no	—
754	C₂²×D₁₇	—	2	1	no	—
755	C₂²×D₁₇	—	4	1	no	—
756	C₂²×D₁₇	—	4	2	no	—
757	C₂²×D₁₇	—	4	2	no	—
758	C₂²×D₁₇	—	4	2	no	—
759	C₂²×D₁₇	—	4	2	no	—
760	C₂²×D₁₇	—	4	2	no	—
761	C₂²×D₁₇	—	4	2	no	—
762	C₂²×D₁₇	—	4	2	no	—
763	C₂²×D₁₇	—	4	2	no	—
764	C₂²×D₁₇	—	4	2	no	—
765	C₂²×D₁₇	—	8	1	no	—
766	C₂²×D₁₇	—	8	1	no	—
767	C₂²×D₁₇	—	8	1	no	—
768	C₂²×D₁₇	—	8	1	no	—
769	C₂²×D₁₇	—	8	1	no	—
770	C₂²×D₁₇	—	8	1	no	—
771	C₂²×D₁₇	—	8	1	no	—
772	C₂²×D₁₇	—	8	1	no	—
773	C₂²×D₁₇	—	8	1	no	—
774	C₂²×D₁₇	—	8	1	no	—
775	C₂²×D₁₇	—	8	1	no	—
776	C₂²×D₁₇	—	8	16	no	—
777	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
778	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
780	Q₈×C₁₇	—	2	1	no	—
781	Q₈×C₁₇	—	2	1	no	—
782	Q₈×C₁₇	—	2	1	no	—
783	Q₈×C₁₇	—	2	1	no	—
784	D₄×C₁₇	—	2	2	no	—
785	D₄×C₁₇	—	2	1	no	—
786	D₄×C₁₇	—	2	1	no	—
787	D₄×C₁₇	—	2	1	no	—
788	D₄×C₁₇	—	4	2	no	—
789	D₄×C₁₇	—	4	2	no	—
790	D₄×C₁₇	—	8	1	no	—
791	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
792	C₂×C₄×C₁₇	—	2	1	no	—
793	C₂×C₄×C₁₇	—	2	1	no	—
794	C₂×C₄×C₁₇	—	2	1	no	—
795	C₂×C₄×C₁₇	—	2	1	no	—
796	C₂×C₄×C₁₇	—	2	1	no	—
797	C₂×C₄×C₁₇	—	2	1	no	—
798	C₂×C₄×C₁₇	—	2	1	no	—
799	C₂×C₄×C₁₇	—	2	1	no	—
800	C₂×C₄×C₁₇	—	2	1	no	—
801	C₂×C₄×C₁₇	—	2	1	no	—
802	C₂×C₄×C₁₇	—	4	2	no	—
803	C₂×C₄×C₁₇	—	4	2	no	—
804	C₂×C₄×C₁₇	—	8	1	no	—
805	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
810	C₂²⋊D₁₇	—	2	4	no	—
811	C₂²⋊D₁₇	—	2	2	no	—
812	C₂²⋊D₁₇	—	2	2	no	—
813	C₂²⋊D₁₇	—	4	1	no	—
814	C₂²⋊D₁₇	—	4	1	no	—
815	C₂²⋊D₁₇	—	4	2	no	—
816	C₂²⋊D₁₇	—	4	2	no	—
817	C₂²⋊D₁₇	—	4	2	no	—
818	C₂²⋊D₁₇	—	4	2	no	—
819	C₂²⋊D₁₇	—	4	2	no	—
820	C₂²⋊D₁₇	—	8	1	no	—
821	C₂²⋊D₁₇	—	8	1	no	—
822	C₂²⋊D₁₇	—	8	1	no	—
823	C₂²⋊D₁₇	—	8	1	no	—
824	C₂×Dic₁₇	—	2	1	no	—
825	C₂×Dic₁₇	—	2	1	no	—
826	C₂×Dic₁₇	—	2	1	no	—
827	C₂×Dic₁₇	—	2	1	no	—
828	C₂×Dic₁₇	—	2	1	no	—
829	C₂×Dic₁₇	—	4	1	no	—
830	C₂×Dic₁₇	—	8	1	no	—
831	C₂×Dic₁₇	—	8	1	no	—
832	C₂×Dic₁₇	—	8	1	no	—
833	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
834	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
835	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
836	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
837	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
838	D₆₈	—	2	2	no	—
839	D₆₈	—	2	1	no	—
840	D₆₈	—	2	1	no	—
841	D₆₈	—	2	1	no	—
842	D₆₈	—	2	1	no	—
843	D₆₈	—	2	1	no	—
844	D₆₈	—	4	1	no	—
845	D₆₈	—	4	2	no	—
846	D₆₈	—	4	2	no	—
847	D₆₈	—	4	2	no	—
848	D₆₈	—	4	2	no	—
849	D₆₈	—	4	2	no	—
850	D₆₈	—	8	1	no	—
851	D₆₈	—	8	1	no	—
852	D₆₈	—	8	1	no	—
853	D₆₈	H(5,𝔽₂)	1	2	yes	—
854	C₄×D₁₇	—	2	1	no	—
855	C₄×D₁₇	—	2	1	no	—
856	C₄×D₁₇	—	2	1	no	—
857	C₄×D₁₇	—	2	1	no	—
858	C₄×D₁₇	—	2	1	no	—
859	C₄×D₁₇	—	2	1	no	—
860	C₄×D₁₇	—	4	1	no	—
861	C₄×D₁₇	—	4	1	no	—
862	C₄×D₁₇	—	4	2	no	—
863	C₄×D₁₇	—	4	2	no	—
864	C₄×D₁₇	—	4	2	no	—
865	C₄×D₁₇	—	8	1	no	—
866	C₄×D₁₇	—	8	1	no	—
867	C₄×D₁₇	—	8	1	no	—
868	C₄×D₁₇	—	8	1	no	—
869	Dic₃₄	—	2	1	no	—
870	Dic₃₄	—	2	1	no	—
871	Dic₃₄	—	2	1	no	—
872	Dic₃₄	—	2	1	no	—
873	Dic₃₄	—	2	1	no	—
874	Dic₃₄	—	2	1	no	—
875	Dic₃₄	—	4	1	no	—
876	Dic₃₄	—	8	1	no	—
877	Dic₃₄	—	8	1	no	—
878	Dic₃₄	—	8	1	no	—
879	Dic₃₄	—	8	1	no	—
880	C₈×C₁₇	—	2	1	no	—
881	C₈×C₁₇	—	2	1	no	—
882	C₈×C₁₇	—	2	1	no	—
883	C₈×C₁₇	—	2	1	no	—
884	#3622	—	2	1	no	—
885	#3622	—	2	1	no	—
886	#3622	—	2	1	no	—
887	#3622	—	2	1	no	—
888	#3538	—	17	1	no	—
889	#3484	—	17	1	no	—
890	#3310	—	17	1	no	—
891	#3310	—	17	1	no	—
892	#3310	—	17	1	no	—
893	#3310	—	17	1	no	—
894	#3296	—	17	1	no	—
895	#3296	—	17	1	no	—
896	#3296	—	17	1	no	—
897	#3296	D₁₇	1	1	yes	characteristic, complemented
898	D₄×SD₁₆	—	17	1	no	—
899	D₄×SD₁₆	—	17	1	no	—
900	D₄×SD₁₆	—	17	1	no	—
901	D₄×SD₁₆	—	17	1	no	—
902	#3266	—	17	1	no	—
903	#3266	—	17	1	no	—
904	#3266	—	17	1	no	—
905	#3266	—	17	1	no	—
906	#3222	—	17	1	no	—
907	#3222	—	17	1	no	—
908	#3200	—	17	1	no	—
909	#3200	—	17	1	no	—
910	#3190	—	17	1	no	—
911	#3190	—	17	1	no	—
912	#3123	—	17	1	no	—
913	#3123	—	17	1	no	—
914	#3009	—	17	1	no	—
915	#3009	—	17	1	no	—
916	C₂×#450	—	17	1	no	—
917	C₂×#450	—	17	1	no	—
918	#2977	—	17	1	no	—
919	C₂²×C₁₇	—	2	1	no	—
920	C₂²×C₁₇	—	2	1	no	—
921	C₂²×C₁₇	—	2	1	no	—
922	C₂²×C₁₇	—	2	2	no	—
923	C₂²×C₁₇	—	2	1	no	—
924	C₂²×C₁₇	—	2	1	no	—
925	C₂²×C₁₇	—	4	1	no	—
926	C₂²×C₁₇	—	4	1	no	—
927	C₂²×C₁₇	—	4	1	no	—
928	C₂²×C₁₇	—	4	1	no	—
929	C₂²×C₁₇	—	4	1	no	—
930	C₂²×C₁₇	—	8	4	no	—
931	C₂²×C₁₇	#577	1	2	yes	—
932	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
933	C₂×D₁₇	—	2	1	no	—
934	C₂×D₁₇	—	2	1	no	—
935	C₂×D₁₇	—	2	1	no	—
936	C₂×D₁₇	—	2	1	no	—
937	C₂×D₁₇	—	2	2	no	—
938	C₂×D₁₇	—	2	1	no	—
939	C₂×D₁₇	—	2	1	no	—
940	C₂×D₁₇	—	2	1	no	—
941	C₂×D₁₇	—	2	1	no	—
942	C₂×D₁₇	—	4	4	no	—
943	C₂×D₁₇	—	4	1	no	—
944	C₂×D₁₇	—	4	1	no	—
945	C₂×D₁₇	—	4	1	no	—
946	C₂×D₁₇	—	4	1	no	—
947	C₂×D₁₇	—	4	1	no	—
948	C₂×D₁₇	—	4	1	no	—
949	C₂×D₁₇	—	4	1	no	—
950	C₂×D₁₇	—	4	1	no	—
951	C₂×D₁₇	—	8	4	no	—
952	C₂×D₁₇	—	8	4	no	—
953	C₂×D₁₇	—	8	4	no	—
954	C₂×D₁₇	—	8	4	no	—
955	C₂×D₁₇	—	8	4	no	—
956	C₂×D₁₇	—	16	2	no	—
957	C₂×D₁₇	—	16	2	no	—
958	C₂×D₁₇	#577	1	2	yes	—
959	C₄×C₁₇	—	2	1	no	—
960	C₄×C₁₇	—	2	1	no	—
961	C₄×C₁₇	—	2	1	no	—
962	C₄×C₁₇	—	2	1	no	—
963	C₄×C₁₇	—	4	1	no	—
964	C₄×C₁₇	—	4	1	no	—
965	C₄×C₁₇	—	4	1	no	—
966	C₄×C₁₇	—	4	1	no	—
967	C₄×C₁₇	—	4	1	no	—
968	C₄×C₁₇	—	4	1	no	—
969	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
970	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
971	Dic₁₇	—	2	1	no	—
972	Dic₁₇	—	2	1	no	—
973	Dic₁₇	—	2	1	no	—
974	Dic₁₇	—	2	1	no	—
975	Dic₁₇	—	2	1	no	—
976	Dic₁₇	—	4	1	no	—
977	Dic₁₇	—	4	1	no	—
978	Dic₁₇	—	4	1	no	—
979	Dic₁₇	—	4	1	no	—
980	Dic₁₇	—	4	1	no	—
981	C₂×H(5,𝔽₂)	—	17	1	no	—
982	C₂³×D₄	—	17	1	no	—
983	C₂×#137	—	17	1	no	—
984	C₂×#137	—	17	1	no	—
985	C₂²×SD₁₆	—	17	1	no	—
986	C₂²×SD₁₆	—	17	1	no	—
987	C₂²×SD₁₆	—	17	1	no	—
988	C₂²×SD₁₆	—	17	1	no	—
989	C₂²×SD₁₆	—	17	1	no	—
990	C₂²×SD₁₆	—	17	1	no	—
991	#563	—	34	1	no	—
992	#563	—	34	1	no	—
993	#552	—	17	1	no	—
994	#552	—	17	1	no	—
995	#552	—	17	1	no	—
996	#552	C₂×D₁₇	1	1	yes	characteristic, complemented
997	#551	—	34	1	no	—
998	#551	—	34	1	no	—
999	D₄×Q₈	—	17	1	no	—
1000	D₄×Q₈	—	17	1	no	—
1001	D₄×Q₈	—	17	1	no	—
1002	D₄×Q₈	—	17	1	no	—
1003	#546	—	17	1	no	—
1004	#546	—	17	1	no	—
1005	#546	—	17	1	no	—
1006	#546	—	34	1	no	—
1007	#546	—	34	1	no	—
1008	#546	C₂×D₁₇	1	1	yes	characteristic
1009	D₄²	—	17	1	no	—
1010	D₄²	—	17	1	no	—
1011	D₄²	—	17	1	no	—
1012	D₄²	—	17	1	no	—
1013	D₄²	—	34	1	no	—
1014	D₄²	—	34	1	no	—
1015	#544	—	34	1	no	—
1016	#544	—	34	1	no	—
1017	#541	—	17	1	no	—
1018	#541	—	17	1	no	—
1019	#539	—	34	1	no	—
1020	#539	—	34	1	no	—
1021	#536	—	17	1	no	—
1022	#536	—	17	1	no	—
1023	#535	—	17	1	no	—
1024	#535	—	17	1	no	—
1025	#534	—	34	1	no	—
1026	#534	—	34	1	no	—
1027	#525	—	17	1	no	—
1028	#525	—	17	1	no	—
1029	C₂×C₂²⋊Q₈	—	17	1	no	—
1030	C₂×C₂²⋊Q₈	—	17	1	no	—
1031	C₂×#120	—	34	1	no	—
1032	C₂×#120	—	34	1	no	—
1033	#518	—	17	1	no	—
1034	#497	—	17	1	no	—
1035	#497	—	17	1	no	—
1036	#492	—	17	1	no	—
1037	#492	—	17	1	no	—
1038	#490	—	17	1	no	—
1039	#490	—	17	1	no	—
1040	#488	—	17	1	no	—
1041	#488	C₂×D₁₇	1	1	yes	characteristic, complemented
1042	#485	—	17	1	no	—
1043	#485	—	17	1	no	—
1044	#485	—	17	1	no	—
1045	#485	—	17	1	no	—
1046	#483	—	17	1	no	—
1047	#483	C₂×D₁₇	1	1	yes	characteristic, complemented
1048	#482	—	17	1	no	—
1049	#482	—	17	1	no	—
1050	#482	—	17	1	no	—
1051	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
1052	#480	—	17	1	no	—
1053	#480	—	17	1	no	—
1054	#478	—	17	1	no	—
1055	#478	—	17	1	no	—
1056	#478	—	17	1	no	—
1057	#478	C₂×D₁₇	1	1	yes	characteristic, complemented
1058	#468	—	17	1	no	—
1059	#468	—	17	1	no	—
1060	#468	—	17	1	no	—
1061	#468	—	17	1	no	—
1062	#467	—	17	1	no	—
1063	#467	—	17	1	no	—
1064	#467	—	17	1	no	—
1065	#467	C₂×D₁₇	1	1	yes	characteristic, complemented
1066	#465	—	17	1	no	—
1067	#465	—	17	1	no	—
1068	#465	—	17	1	no	—
1069	#465	—	17	1	no	—
1070	#465	—	17	1	no	—
1071	#465	—	17	1	no	—
1072	#465	—	17	1	no	—
1073	#465	C₂×D₁₇	1	1	yes	characteristic, complemented
1074	#464	—	17	1	no	—
1075	#464	—	17	1	no	—
1076	#464	—	17	1	no	—
1077	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1078	#461	—	17	1	no	—
1079	#461	—	17	1	no	—
1080	#461	—	17	1	no	—
1081	#461	—	17	1	no	—
1082	#460	—	17	1	no	—
1083	#460	—	17	1	no	—
1084	#460	—	17	1	no	—
1085	#460	—	17	1	no	—
1086	#452	—	17	1	no	—
1087	#452	—	17	1	no	—
1088	#452	—	17	1	no	—
1089	#452	—	17	1	no	—
1090	#452	—	17	1	no	—
1091	#452	—	17	1	no	—
1092	#452	—	17	1	no	—
1093	#452	C₂×D₁₇	1	1	yes	characteristic, complemented
1094	#451	—	17	1	no	—
1095	#451	—	17	1	no	—
1096	#450	—	17	1	no	—
1097	#450	—	17	1	no	—
1098	#450	—	17	1	no	—
1099	#450	—	17	1	no	—
1100	#450	—	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	—	17	1	no	—
1110	#450	—	17	1	no	—
1111	#450	—	17	1	no	—
1112	#450	—	17	1	no	—
1113	#450	—	17	1	no	—
1114	#450	—	17	1	no	—
1115	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1116	#448	—	17	1	no	—
1117	#448	—	17	1	no	—
1118	#448	—	17	1	no	—
1119	#448	—	17	1	no	—
1120	#448	—	17	1	no	—
1121	#448	—	17	1	no	—
1122	#440	—	17	1	no	—
1123	#440	—	17	1	no	—
1124	#440	—	17	1	no	—
1125	#440	—	17	1	no	—
1126	C₄×SD₁₆	—	17	1	no	—
1127	C₄×SD₁₆	—	17	1	no	—
1128	C₄×SD₁₆	—	17	1	no	—
1129	C₄×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1130	#435	—	17	1	no	—
1131	#435	—	17	1	no	—
1132	#435	—	17	1	no	—
1133	#435	—	17	1	no	—
1134	C₈×D₄	—	17	1	no	—
1135	C₈×D₄	—	17	1	no	—
1136	C₈×D₄	—	17	1	no	—
1137	C₈×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
1138	#433	—	17	1	no	—
1139	#433	—	17	1	no	—
1140	#418	—	17	1	no	—
1141	#418	—	17	1	no	—
1142	#416	—	17	1	no	—
1143	#416	C₂×D₁₇	1	1	yes	characteristic, complemented
1144	C₂×#102	—	17	1	no	—
1145	C₂×#102	—	17	1	no	—
1146	C₂×#102	—	17	1	no	—
1147	C₂×#102	C₂×D₁₇	1	1	yes	characteristic, complemented
1148	#408	—	17	1	no	—
1149	#408	—	17	1	no	—
1150	C₂×C₂²⋊C₈	—	17	1	no	—
1151	C₂×C₂²⋊C₈	—	17	1	no	—
1152	C₂×C₁₇	—	2	2	no	—
1153	C₂×C₁₇	—	4	2	no	—
1154	C₂×C₁₇	—	4	1	no	—
1155	C₂×C₁₇	—	8	1	no	—
1156	C₂×C₁₇	#3484	1	1	yes	characteristic
1157	C₂×C₁₇	C₂×#577	1	1	yes	characteristic
1158	C₂×C₁₇	C₂×#577	1	1	yes	characteristic
1159	D₁₇	—	2	2	no	—
1160	D₁₇	—	4	1	no	—
1161	D₁₇	—	4	1	no	—
1162	D₁₇	—	4	2	no	—
1163	D₁₇	—	8	1	no	—
1164	D₁₇	—	8	1	no	—
1165	C₂⁵	—	34	1	no	—
1166	H(5,𝔽₂)	—	68	2	no	—
1167	H(5,𝔽₂)	—	68	2	no	—
1168	C₂×#41	—	17	1	no	—
1169	C₂×#41	—	17	1	no	—
1170	C₂×#41	—	17	1	no	—
1171	C₂×#41	—	34	1	no	—
1172	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1173	C₂²×Q₈	—	17	1	no	—
1174	C₂²×Q₈	—	17	1	no	—
1175	C₂²×Q₈	—	17	1	no	—
1176	C₂²×Q₈	—	17	1	no	—
1177	C₂²×D₄	—	17	1	no	—
1178	C₂²×D₄	—	17	1	no	—
1179	C₂²×D₄	—	17	1	no	—
1180	C₂²×D₄	—	17	1	no	—
1181	C₂²×D₄	—	17	1	no	—
1182	C₂²×D₄	—	17	1	no	—
1183	C₂²×D₄	—	17	1	no	—
1184	C₂²×D₄	—	34	1	no	—
1185	C₂²×D₄	—	34	1	no	—
1186	C₂²×D₄	—	34	1	no	—
1187	C₂²×D₄	—	34	1	no	—
1188	C₂²×D₄	—	34	1	no	—
1189	C₂²×D₄	—	34	1	no	—
1190	C₂²×D₄	—	34	1	no	—
1191	C₂²×D₄	—	34	1	no	—
1192	C₂²×D₄	—	34	1	no	—
1193	C₂²×D₄	—	34	1	no	—
1194	C₂²×D₄	—	68	2	no	—
1195	C₂²×D₄	—	68	2	no	—
1196	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1197	C₂³×C₄	—	17	1	no	—
1198	#137	—	68	2	no	—
1199	#137	—	68	2	no	—
1200	C₂×Q₁₆	—	17	1	no	—
1201	C₂×Q₁₆	—	17	1	no	—
1202	C₂×Q₁₆	—	17	1	no	—
1203	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1204	C₂×SD₁₆	—	17	1	no	—
1205	C₂×SD₁₆	—	17	1	no	—
1206	C₂×SD₁₆	—	17	1	no	—
1207	C₂×SD₁₆	—	17	1	no	—
1208	C₂×SD₁₆	—	17	1	no	—
1209	C₂×SD₁₆	—	17	1	no	—
1210	C₂×SD₁₆	—	17	1	no	—
1211	C₂×SD₁₆	—	17	1	no	—
1212	C₂×SD₁₆	—	17	1	no	—
1213	C₂×SD₁₆	—	17	1	no	—
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	—	68	2	no	—
1225	C₂×SD₁₆	—	68	2	no	—
1226	C₂×SD₁₆	—	68	2	no	—
1227	C₂×SD₁₆	—	68	2	no	—
1228	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1229	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1230	C₂×M₁₆	—	17	1	no	—
1231	C₂×M₁₆	—	17	1	no	—
1232	C₂²×C₈	—	17	1	no	—
1233	C₂²×C₈	—	17	1	no	—
1234	C₂²×C₈	—	17	1	no	—
1235	C₂²×C₈	—	17	1	no	—
1236	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1237	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1238	C₄⋊Q₈	—	17	1	no	—
1239	C₄⋊Q₈	—	17	1	no	—
1240	C₄⋊Q₈	—	34	1	no	—
1241	C₄⋊Q₈	—	34	1	no	—
1242	C₄⋊Q₈	—	34	1	no	—
1243	C₄⋊Q₈	—	34	1	no	—
1244	C₄⋊Q₈	—	34	1	no	—
1245	C₄⋊Q₈	—	34	1	no	—
1246	#127	—	17	1	no	—
1247	#127	—	17	1	no	—
1248	#127	—	34	1	no	—
1249	#126	—	2	1	no	—
1250	#126	—	34	1	no	—
1251	#126	—	34	1	no	—
1252	#126	—	34	1	no	—
1253	#126	—	34	1	no	—
1254	#126	—	34	1	no	—
1255	#126	—	34	1	no	—
1256	#126	—	34	1	no	—
1257	#125	—	2	1	no	—
1258	#125	—	17	1	no	—
1259	#125	—	34	1	no	—
1260	#125	—	34	1	no	—
1261	#125	—	34	1	no	—
1262	#125	—	34	1	no	—
1263	#125	—	34	1	no	—
1264	#125	—	34	1	no	—
1265	#125	—	34	1	no	—
1266	#125	C₂²×D₁₇	1	1	yes	characteristic, complemented
1267	#124	—	17	1	no	—
1268	#124	—	34	1	no	—
1269	#124	—	34	1	no	—
1270	#124	—	34	1	no	—
1271	#124	C₂²×D₁₇	1	1	yes	characteristic
1272	#123	—	2	1	no	—
1273	#123	—	2	1	no	—
1274	#123	—	17	1	no	—
1275	#123	—	17	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	#123	—	34	1	no	—
1285	#123	—	34	1	no	—
1286	#123	—	34	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	—	17	1	no	—
1293	C₂²⋊Q₈	—	17	1	no	—
1294	C₂²⋊Q₈	—	17	1	no	—
1295	C₂²⋊Q₈	—	17	1	no	—
1296	C₂²⋊Q₈	—	17	1	no	—
1297	C₂²⋊Q₈	—	17	1	no	—
1298	C₂²⋊Q₈	—	17	1	no	—
1299	C₂²⋊Q₈	—	17	1	no	—
1300	C₂²⋊Q₈	—	34	1	no	—
1301	C₂²⋊Q₈	—	34	1	no	—
1302	C₂²⋊Q₈	—	34	1	no	—
1303	C₂²⋊Q₈	—	34	1	no	—
1304	C₂²⋊Q₈	—	34	1	no	—
1305	C₂²⋊Q₈	—	34	1	no	—
1306	C₂²⋊Q₈	—	34	1	no	—
1307	C₂²⋊Q₈	—	34	1	no	—
1308	C₂²⋊Q₈	—	34	1	no	—
1309	C₂²⋊Q₈	—	34	1	no	—
1310	C₂²⋊Q₈	—	34	1	no	—
1311	C₂²⋊Q₈	—	34	1	no	—
1312	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1313	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1314	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1315	#121	—	2	1	no	—
1316	#121	—	17	1	no	—
1317	#121	—	17	1	no	—
1318	#121	—	17	1	no	—
1319	#121	—	17	1	no	—
1320	#121	—	17	1	no	—
1321	#121	—	17	1	no	—
1322	#121	—	17	1	no	—
1323	#121	—	34	1	no	—
1324	#121	—	34	1	no	—
1325	#121	—	34	1	no	—
1326	#121	—	34	1	no	—
1327	#121	—	34	1	no	—
1328	#121	—	34	1	no	—
1329	#121	—	34	1	no	—
1330	#121	—	34	1	no	—
1331	#121	—	34	1	no	—
1332	#121	C₂²×D₁₇	1	1	yes	characteristic
1333	#120	—	2	1	no	—
1334	#120	—	17	1	no	—
1335	#120	—	17	1	no	—
1336	#120	—	34	1	no	—
1337	#120	—	34	1	no	—
1338	#120	—	34	1	no	—
1339	#120	—	34	1	no	—
1340	#120	—	34	1	no	—
1341	#120	—	34	1	no	—
1342	#120	—	34	1	no	—
1343	#120	—	34	1	no	—
1344	#120	—	34	1	no	—
1345	#120	—	34	1	no	—
1346	#120	—	34	1	no	—
1347	#120	—	34	1	no	—
1348	#120	—	34	1	no	—
1349	#120	—	34	1	no	—
1350	#120	—	34	1	no	—
1351	#120	—	34	1	no	—
1352	C₄×Q₈	—	17	1	no	—
1353	C₄×Q₈	—	17	1	no	—
1354	C₄×Q₈	—	17	1	no	—
1355	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1356	C₄×D₄	—	17	1	no	—
1357	C₄×D₄	—	17	1	no	—
1358	C₄×D₄	—	17	1	no	—
1359	C₄×D₄	—	17	1	no	—
1360	C₄×D₄	—	17	1	no	—
1361	C₄×D₄	—	17	1	no	—
1362	C₄×D₄	—	34	1	no	—
1363	C₄×D₄	—	34	1	no	—
1364	C₄×D₄	—	34	1	no	—
1365	C₄×D₄	—	34	1	no	—
1366	C₄×D₄	—	34	1	no	—
1367	C₄×D₄	—	34	1	no	—
1368	C₄×D₄	—	34	1	no	—
1369	C₄×D₄	—	34	1	no	—
1370	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1372	#117	—	2	1	no	—
1373	#117	—	17	1	no	—
1374	#117	—	17	1	no	—
1375	#117	—	17	1	no	—
1376	#117	—	34	1	no	—
1377	#117	—	34	1	no	—
1378	#117	—	34	1	no	—
1379	#117	C₂²×D₁₇	1	1	yes	characteristic, complemented
1380	C₂×C₄⋊C₄	—	17	1	no	—
1381	C₂×C₄⋊C₄	—	34	1	no	—
1382	C₂×C₄⋊C₄	—	34	1	no	—
1383	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1384	C₂×C₂²⋊C₄	—	2	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	#107	—	17	1	no	—
1393	#107	—	17	1	no	—
1394	#107	—	17	1	no	—
1395	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1396	#106	—	17	1	no	—
1397	#106	—	17	1	no	—
1398	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1399	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1400	C₄⋊C₈	—	17	1	no	—
1401	C₄⋊C₈	—	17	1	no	—
1402	C₄⋊C₈	—	17	1	no	—
1403	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1404	#103	—	17	1	no	—
1405	#103	—	17	1	no	—
1406	#103	—	17	1	no	—
1407	#103	—	17	1	no	—
1408	#103	—	17	1	no	—
1409	#103	—	17	1	no	—
1410	#103	—	17	1	no	—
1411	#103	—	17	1	no	—
1412	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1413	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1414	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1415	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1416	#102	—	17	1	no	—
1417	#102	—	17	1	no	—
1418	#102	—	17	1	no	—
1419	#102	—	17	1	no	—
1420	#102	—	17	1	no	—
1421	#102	—	17	1	no	—
1422	#102	—	17	1	no	—
1423	#102	—	17	1	no	—
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	C₂²×D₁₇	1	1	yes	characteristic
1431	#102	C₂²×D₁₇	1	1	yes	characteristic
1432	#102	C₂²×D₁₇	1	1	yes	characteristic
1433	#102	C₂²×D₁₇	1	1	yes	characteristic
1434	#102	C₂²×D₁₇	1	1	yes	characteristic
1435	#102	C₂²×D₁₇	1	1	yes	characteristic
1436	C₂²⋊C₈	—	17	1	no	—
1437	C₂²⋊C₈	—	17	1	no	—
1438	C₂²⋊C₈	—	17	1	no	—
1439	C₂²⋊C₈	—	17	1	no	—
1440	C₂²⋊C₈	—	17	1	no	—
1441	C₂²⋊C₈	—	17	1	no	—
1442	C₂²⋊C₈	—	17	1	no	—
1443	C₂²⋊C₈	—	17	1	no	—
1444	C₂²⋊C₈	—	17	1	no	—
1445	C₂²⋊C₈	—	17	1	no	—
1446	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1447	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1448	#97	—	17	1	no	—
1449	#97	—	17	1	no	—
1450	C₄×C₈	—	17	1	no	—
1451	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1452	C₁₇	#61631	1	1	yes	characteristic, complemented, Sylow
1453	C₂⁴	—	2	1	no	—
1454	C₂⁴	—	17	1	no	—
1455	C₂⁴	—	34	1	no	—
1456	C₂⁴	—	34	1	no	—
1457	C₂⁴	—	34	1	no	—
1458	C₂⁴	—	34	1	no	—
1459	C₂⁴	—	34	1	no	—
1460	C₂⁴	—	34	1	no	—
1461	C₂⁴	—	34	1	no	—
1462	C₂⁴	—	68	4	no	—
1463	C₂⁴	—	136	2	no	—
1464	C₂⁴	—	136	2	no	—
1465	#41	—	2	2	no	—
1466	#41	—	4	1	no	—
1467	#41	—	34	2	no	—
1468	#41	—	68	1	no	—
1469	#41	—	68	1	no	—
1470	#41	—	68	4	no	—
1471	#41	—	68	1	no	—
1472	#41	—	68	1	no	—
1473	#41	—	68	1	no	—
1474	C₂×Q₈	—	17	1	no	—
1475	C₂×Q₈	—	17	1	no	—
1476	C₂×Q₈	—	17	1	no	—
1477	C₂×Q₈	—	17	1	no	—
1478	C₂×Q₈	—	34	1	no	—
1479	C₂×Q₈	—	34	1	no	—
1480	C₂×Q₈	—	34	1	no	—
1481	C₂×Q₈	—	34	1	no	—
1482	C₂×Q₈	—	68	1	no	—
1483	C₂×Q₈	—	68	1	no	—
1484	C₂×Q₈	—	68	1	no	—
1485	C₂×Q₈	—	68	1	no	—
1486	C₂×Q₈	—	68	1	no	—
1487	C₂×Q₈	—	68	1	no	—
1488	C₂×Q₈	—	68	1	no	—
1489	C₂×Q₈	—	68	1	no	—
1490	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1491	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1492	C₂×D₄	—	2	2	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	4	1	no	—
1497	C₂×D₄	—	17	1	no	—
1498	C₂×D₄	—	17	1	no	—
1499	C₂×D₄	—	17	1	no	—
1500	C₂×D₄	—	17	1	no	—
1501	C₂×D₄	—	17	1	no	—
1502	C₂×D₄	—	17	1	no	—
1503	C₂×D₄	—	17	1	no	—
1504	C₂×D₄	—	17	1	no	—
1505	C₂×D₄	—	17	1	no	—
1506	C₂×D₄	—	34	2	no	—
1507	C₂×D₄	—	34	2	no	—
1508	C₂×D₄	—	34	1	no	—
1509	C₂×D₄	—	34	1	no	—
1510	C₂×D₄	—	34	1	no	—
1511	C₂×D₄	—	34	1	no	—
1512	C₂×D₄	—	34	1	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	2	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	—	68	1	no	—
1532	C₂×D₄	—	68	1	no	—
1533	C₂×D₄	—	68	4	no	—
1534	C₂×D₄	—	68	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	4	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	—	136	2	no	—
1545	C₂×D₄	—	136	2	no	—
1546	C₂×D₄	—	136	2	no	—
1547	C₂×D₄	—	136	2	no	—
1548	C₂×D₄	D₄×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	—	17	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	—	34	1	no	—
1561	C₂²×C₄	—	34	1	no	—
1562	C₂²×C₄	—	34	1	no	—
1563	C₂²×C₄	—	34	1	no	—
1564	C₂²×C₄	—	34	1	no	—
1565	C₂²×C₄	—	34	1	no	—
1566	C₂²×C₄	—	34	1	no	—
1567	C₂²×C₄	—	34	1	no	—
1568	C₂²×C₄	—	34	1	no	—
1569	C₂²×C₄	—	34	1	no	—
1570	C₂²×C₄	—	68	1	no	—
1571	C₂²×C₄	—	68	1	no	—
1572	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1574	Q₁₆	—	4	1	no	—
1575	Q₁₆	—	68	1	no	—
1576	Q₁₆	—	68	1	no	—
1577	Q₁₆	—	68	1	no	—
1578	SD₁₆	—	2	2	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	34	2	no	—
1581	SD₁₆	—	34	2	no	—
1582	SD₁₆	—	34	2	no	—
1583	SD₁₆	—	34	2	no	—
1584	SD₁₆	—	34	2	no	—
1585	SD₁₆	—	34	2	no	—
1586	SD₁₆	—	34	2	no	—
1587	SD₁₆	—	68	1	no	—
1588	SD₁₆	—	68	1	no	—
1589	SD₁₆	—	68	1	no	—
1590	SD₁₆	—	68	1	no	—
1591	SD₁₆	—	68	1	no	—
1592	SD₁₆	—	68	1	no	—
1593	SD₁₆	—	68	1	no	—
1594	SD₁₆	—	68	1	no	—
1595	SD₁₆	—	68	1	no	—
1596	SD₁₆	—	68	1	no	—
1597	SD₁₆	—	68	1	no	—
1598	M₁₆	—	68	1	no	—
1599	M₁₆	—	68	1	no	—
1600	C₂×C₈	—	4	1	no	—
1601	C₂×C₈	—	4	1	no	—
1602	C₂×C₈	—	17	1	no	—
1603	C₂×C₈	—	17	1	no	—
1604	C₂×C₈	—	17	1	no	—
1605	C₂×C₈	—	17	1	no	—
1606	C₂×C₈	—	68	1	no	—
1607	C₂×C₈	—	68	1	no	—
1608	C₂×C₈	—	68	1	no	—
1609	C₂×C₈	—	68	1	no	—
1610	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1612	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1613	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	17	1	no	—
1622	C₄⋊C₄	—	17	1	no	—
1623	C₄⋊C₄	—	17	1	no	—
1624	C₄⋊C₄	—	17	1	no	—
1625	C₄⋊C₄	—	17	1	no	—
1626	C₄⋊C₄	—	17	1	no	—
1627	C₄⋊C₄	—	17	1	no	—
1628	C₄⋊C₄	—	34	1	no	—
1629	C₄⋊C₄	—	34	1	no	—
1630	C₄⋊C₄	—	34	1	no	—
1631	C₄⋊C₄	—	34	1	no	—
1632	C₄⋊C₄	—	34	1	no	—
1633	C₄⋊C₄	—	34	1	no	—
1634	C₄⋊C₄	—	34	1	no	—
1635	C₄⋊C₄	—	34	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	D₄×D₁₇	1	1	yes	characteristic
1650	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1651	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1652	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1653	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
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	—	17	1	no	—
1663	C₂²⋊C₄	—	17	1	no	—
1664	C₂²⋊C₄	—	17	1	no	—
1665	C₂²⋊C₄	—	17	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	—	34	1	no	—
1671	C₂²⋊C₄	—	34	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	D₄×D₁₇	1	1	yes	characteristic
1694	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1695	C₄²	—	2	1	no	—
1696	C₄²	—	2	1	no	—
1697	C₄²	—	17	1	no	—
1698	C₄²	—	34	1	no	—
1699	C₄²	—	34	1	no	—
1700	C₄²	—	34	1	no	—
1701	C₄²	—	34	1	no	—
1702	C₄²	—	34	1	no	—
1703	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1704	C₂³	—	2	1	no	—
1705	C₂³	—	2	1	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	4	2	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	—	17	1	no	—
1710	C₂³	—	17	1	no	—
1711	C₂³	—	17	1	no	—
1712	C₂³	—	34	2	no	—
1713	C₂³	—	34	4	no	—
1714	C₂³	—	34	2	no	—
1715	C₂³	—	34	1	no	—
1716	C₂³	—	34	1	no	—
1717	C₂³	—	34	1	no	—
1718	C₂³	—	68	2	no	—
1719	C₂³	—	68	2	no	—
1720	C₂³	—	68	1	no	—
1721	C₂³	—	68	2	no	—
1722	C₂³	—	68	2	no	—
1723	C₂³	—	68	2	no	—
1724	C₂³	—	68	2	no	—
1725	C₂³	—	68	2	no	—
1726	C₂³	—	68	2	no	—
1727	C₂³	—	68	2	no	—
1728	C₂³	—	136	1	no	—
1729	C₂³	—	136	1	no	—
1730	C₂³	—	136	1	no	—
1731	C₂³	—	136	1	no	—
1732	C₂³	—	136	1	no	—
1733	C₂³	—	136	1	no	—
1734	C₂³	—	136	1	no	—
1735	C₂³	—	136	1	no	—
1736	C₂³	—	136	1	no	—
1737	C₂³	—	136	1	no	—
1738	C₂³	—	136	1	no	—
1739	C₂³	—	136	16	no	—
1740	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1741	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1742	Q₈	—	2	1	no	—
1743	Q₈	—	2	1	no	—
1744	Q₈	—	2	1	no	—
1745	Q₈	—	2	1	no	—
1746	Q₈	—	34	1	no	—
1747	Q₈	—	34	1	no	—
1748	Q₈	—	34	1	no	—
1749	Q₈	—	34	1	no	—
1750	Q₈	—	34	1	no	—
1751	Q₈	—	34	1	no	—
1752	Q₈	—	68	1	no	—
1753	Q₈	—	136	1	no	—
1754	Q₈	—	136	1	no	—
1755	Q₈	—	136	1	no	—
1756	Q₈	—	136	1	no	—
1757	D₄	—	2	2	no	—
1758	D₄	—	2	1	no	—
1759	D₄	—	2	1	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	4	2	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	17	2	no	—
1765	D₄	—	34	2	no	—
1766	D₄	—	34	2	no	—
1767	D₄	—	34	4	no	—
1768	D₄	—	34	2	no	—
1769	D₄	—	34	1	no	—
1770	D₄	—	34	1	no	—
1771	D₄	—	34	1	no	—
1772	D₄	—	34	1	no	—
1773	D₄	—	34	1	no	—
1774	D₄	—	68	1	no	—
1775	D₄	—	68	2	no	—
1776	D₄	—	68	2	no	—
1777	D₄	—	68	2	no	—
1778	D₄	—	68	2	no	—
1779	D₄	—	68	2	no	—
1780	D₄	—	68	1	no	—
1781	D₄	—	68	1	no	—
1782	D₄	—	68	2	no	—
1783	D₄	—	68	2	no	—
1784	D₄	—	68	2	no	—
1785	D₄	—	68	2	no	—
1786	D₄	—	68	2	no	—
1787	D₄	—	136	1	no	—
1788	D₄	—	136	1	no	—
1789	D₄	—	136	1	no	—
1790	D₄	—	136	1	no	—
1791	D₄	—	136	1	no	—
1792	D₄	—	136	1	no	—
1793	D₄	—	136	1	no	—
1794	D₄	#10587696	1	2	yes	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
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	—	4	2	no	—
1806	C₂×C₄	—	4	2	no	—
1807	C₂×C₄	—	8	1	no	—
1808	C₂×C₄	—	17	1	no	—
1809	C₂×C₄	—	17	1	no	—
1810	C₂×C₄	—	17	1	no	—
1811	C₂×C₄	—	17	1	no	—
1812	C₂×C₄	—	17	1	no	—
1813	C₂×C₄	—	34	1	no	—
1814	C₂×C₄	—	34	1	no	—
1815	C₂×C₄	—	34	1	no	—
1816	C₂×C₄	—	34	1	no	—
1817	C₂×C₄	—	34	1	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	—	68	1	no	—
1825	C₂×C₄	—	68	1	no	—
1826	C₂×C₄	—	68	2	no	—
1827	C₂×C₄	—	68	2	no	—
1828	C₂×C₄	—	68	2	no	—
1829	C₂×C₄	—	68	1	no	—
1830	C₂×C₄	—	136	1	no	—
1831	C₂×C₄	—	136	1	no	—
1832	C₂×C₄	—	136	1	no	—
1833	C₂×C₄	—	136	1	no	—
1834	C₂×C₄	—	136	1	no	—
1835	C₂×C₄	—	136	1	no	—
1836	C₂×C₄	—	136	1	no	—
1837	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1838	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1839	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1840	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1841	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1842	C₈	—	2	1	no	—
1843	C₈	—	2	1	no	—
1844	C₈	—	2	1	no	—
1845	C₈	—	2	1	no	—
1846	C₈	—	34	1	no	—
1847	C₈	—	34	1	no	—
1848	C₈	—	34	1	no	—
1849	C₈	—	34	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	2	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	8	4	no	—
1862	C₂²	—	272	2	no	—
1863	C₂²	—	272	2	no	—
1864	C₂²	—	17	2	no	—
1865	C₂²	—	34	1	no	—
1866	C₂²	—	34	1	no	—
1867	C₂²	—	34	1	no	—
1868	C₂²	—	34	1	no	—
1869	C₂²	—	34	2	no	—
1870	C₂²	—	34	1	no	—
1871	C₂²	—	34	1	no	—
1872	C₂²	—	34	1	no	—
1873	C₂²	—	34	1	no	—
1874	C₂²	—	68	4	no	—
1875	C₂²	—	68	1	no	—
1876	C₂²	—	68	1	no	—
1877	C₂²	—	68	1	no	—
1878	C₂²	—	68	1	no	—
1879	C₂²	—	68	1	no	—
1880	C₂²	—	68	1	no	—
1881	C₂²	—	68	1	no	—
1882	C₂²	—	68	1	no	—
1883	C₂²	—	136	4	no	—
1884	C₂²	—	136	4	no	—
1885	C₂²	—	136	4	no	—
1886	C₂²	—	136	4	no	—
1887	C₂²	—	136	4	no	—
1888	C₂²	#11763616	1	2	yes	—
1889	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	2	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	4	1	no	—
1899	C₄	—	4	1	no	—
1900	C₄	—	34	1	no	—
1901	C₄	—	34	1	no	—
1902	C₄	—	34	1	no	—
1903	C₄	—	34	1	no	—
1904	C₄	—	34	1	no	—
1905	C₄	—	68	1	no	—
1906	C₄	—	68	1	no	—
1907	C₄	—	68	1	no	—
1908	C₄	—	68	1	no	—
1909	C₄	—	68	1	no	—
1910	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1911	C₄	C₂×#10587696	1	1	yes	characteristic
1912	C₂	—	2	2	no	—
1913	C₂	—	4	1	no	—
1914	C₂	—	4	2	no	—
1915	C₂	—	8	1	no	—
1916	C₂	—	34	2	no	—
1917	C₂	—	68	1	no	—
1918	C₂	—	68	2	no	—
1919	C₂	—	68	1	no	—
1920	C₂	—	136	1	no	—
1921	C₂	—	136	1	no	—
1922	C₂	#14542414	1	1	yes	characteristic
1923	C₂	D₁₇×#577	1	1	yes	characteristic
1924	C₂	C₂×#11763616	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×#3296	C₂
socle	C₂²×C₁₇	C₂³×D₄
prime radical	#14542414	C₂
hypercenter	#3296	D₁₇
hypocenter	C₁₇	#61631
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3296

Complements

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

N	H ≅ G/N	type
1. #14543030	C₂	semidirect
3. #14540808	C₂	semidirect
4. #14540802	C₂	semidirect
5. #14540801	C₂	semidirect
6. #14540799	C₂	semidirect
7. #14540620	C₂	semidirect
8. #14540618	C₂	semidirect
9. #14540617	C₂	semidirect
10. D₄×#63219	C₂	semidirect
11. SD₁₆×D₆₈	C₂	semidirect
12. #14540478	C₂	semidirect
13. #14540477	C₂	semidirect
14. #14540292	C₂	semidirect
15. #14540291	C₂	semidirect
16. #14540290	C₂	semidirect
17. #14540289	C₂	semidirect
18. #14539859	C₂	semidirect
19. #14539853	C₂	semidirect
20. #14539658	C₂	semidirect
21. #14539650	C₂	semidirect
22. #14539570	C₂	semidirect
23. #14539566	C₂	semidirect
24. #14539038	C₂	semidirect
25. #14539033	C₂	semidirect
26. #14538064	C₂	semidirect
27. #14538058	C₂	semidirect
28. C₂×#11762961	C₂	semidirect
29. D₁₇×#450	C₂	semidirect
30. #14537837	C₂	semidirect
31. C₁₇×#3296	C₂	semidirect
34. C₂×#10587604	C₂²	semidirect
35. C₂×#10587637	C₂²	semidirect
36. C₂²×#63219	C₂²	semidirect
37. C₂²×#63219	C₂²	semidirect
38. C₂²×#63229	C₂²	semidirect
39. C₂×SD₁₆×D₁₇	C₂²	semidirect
40. C₂×SD₁₆×D₁₇	C₂²	semidirect
41. C₂×SD₁₆×D₁₇	C₂²	semidirect
44. #11763498	C₂²	semidirect
45. #11763497	C₂²	semidirect
46. #11763494	C₂²	semidirect
49. Q₈×D₆₈	C₂²	semidirect
50. D₄×Dic₃₄	C₂²	semidirect
51. #11763472	C₂²	semidirect
52. #11763472	C₂²	semidirect
66. #11763422	C₂²	semidirect
67. #11763417	C₂²	semidirect
70. #11763385	C₂²	semidirect
71. #11763382	C₂²	semidirect
78. C₂×#10587583	C₂²	semidirect
79. C₂²⋊Q₈×D₁₇	C₂²	semidirect
83. #11763204	C₂²	semidirect
84. #11763202	C₂²	semidirect
85. #11763182	C₂²	semidirect
86. #11763180	C₂²	semidirect
87. #11763175	C₂²	semidirect
88. #11763172	C₂²	semidirect
89. #11763165	C₂²	semidirect
90. #11763153	C₂²	semidirect
91. #11763153	C₂²	semidirect
92. #11763152	C₂²	semidirect
93. #11763148	C₂²	semidirect
94. #11763138	C₂²	semidirect
95. #11763135	C₂²	semidirect
96. #11763133	C₂²	semidirect
97. #11763132	C₂²	semidirect
98. #11763124	C₂²	semidirect
99. #11763122	C₂²	semidirect
100. #11763111	C₂²	semidirect
101. #11763108	C₂²	semidirect
102. #11763106	C₂²	semidirect
103. #11763057	C₂²	semidirect
104. #11763056	C₂²	semidirect
105. #11763054	C₂²	semidirect
106. #11763053	C₂²	semidirect
107. #11763049	C₂²	semidirect
108. #11763049	C₂²	semidirect
109. #11763048	C₂²	semidirect
110. #11763040	C₂²	semidirect
111. #11763039	C₂²	semidirect
112. #11763039	C₂²	semidirect
113. #11763039	C₂²	semidirect
114. #11763038	C₂²	semidirect
115. #11763038	C₂²	semidirect
116. #11763037	C₂²	semidirect
117. #11763034	C₂²	semidirect
118. #11763034	C₂²	semidirect
119. #11763028	C₂²	semidirect
120. #11763015	C₂²	semidirect
121. #11763014	C₂²	semidirect
122. #11763013	C₂²	semidirect
123. #11763012	C₂²	semidirect
124. #11763010	C₂²	semidirect
125. #11763009	C₂²	semidirect
126. #11763008	C₂²	semidirect
127. #11763008	C₂²	semidirect
128. #11762974	C₂²	semidirect
129. #11762974	C₂²	semidirect
130. #11762974	C₂²	semidirect
131. #11762974	C₂²	semidirect
132. #11762974	C₂²	semidirect
133. #11762971	C₂²	semidirect
134. #11762970	C₂²	semidirect
135. #11762964	C₂²	semidirect
136. #11762963	C₂²	semidirect
137. #11762962	C₂²	semidirect
138. #11762962	C₂²	semidirect
142. #11762961	C₂²	semidirect
143. #11762961	C₂²	semidirect
144. #11762961	C₂²	semidirect
145. #11762961	C₂²	semidirect
146. #11762961	C₂²	semidirect
147. #11762961	C₂²	semidirect
148. #11762961	C₂²	semidirect
149. #11762961	C₂²	semidirect
150. #11762961	C₂²	semidirect
151. #11762960	C₂²	semidirect
152. #11762959	C₂²	semidirect
153. #11762959	C₂²	semidirect
155. #11762958	C₂²	semidirect
156. #11762950	C₂²	semidirect
157. #11762950	C₂²	semidirect
158. #11762949	C₂²	semidirect
159. #11762949	C₂²	semidirect
160. #11762947	C₂²	semidirect
161. #11762946	C₂²	semidirect
162. #11762909	C₂²	semidirect
163. #11762908	C₂²	semidirect
164. #11762907	C₂²	semidirect
165. #11762906	C₂²	semidirect
166. #11762900	C₂²	semidirect
167. C₄×#63219	C₂²	semidirect
168. #11762896	C₂²	semidirect
169. #11762883	C₂²	semidirect
170. #11762881	C₂²	semidirect
171. #11762880	C₂²	semidirect
172. #11762879	C₂²	semidirect
173. C₈×D₆₈	C₂²	semidirect
174. C₈×C₂²⋊D₁₇	C₂²	semidirect
175. #11762872	C₂²	semidirect
176. #11762869	C₂²	semidirect
177. #11762868	C₂²	semidirect
178. #11762813	C₂²	semidirect
179. #11762812	C₂²	semidirect
180. #11762804	C₂²	semidirect
181. C₂×#10587480	C₂²	semidirect
182. #102×D₁₇	C₂²	semidirect
183. #102×D₁₇	C₂²	semidirect
184. #11762775	C₂²	semidirect
185. #11762774	C₂²	semidirect
186. C₂×#10587491	C₂²	semidirect
187. C₂²⋊C₈×D₁₇	C₂²	semidirect
188. C₁₇×#552	C₂²	semidirect
190. C₁₇×#488	C₂²	semidirect
191. C₁₇×#483	C₂²	semidirect
192. C₁₇×#482	C₂²	semidirect
193. C₁₇×#478	C₂²	semidirect
194. C₁₇×#467	C₂²	semidirect
195. C₁₇×#465	C₂²	semidirect
196. C₁₇×#464	C₂²	semidirect
197. C₁₇×#452	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₄×SD₁₆×C₁₇	C₂²	semidirect
200. C₈×D₄×C₁₇	C₂²	semidirect
201. C₁₇×#416	C₂²	semidirect
202. C₂×C₁₇×#102	C₂²	semidirect
213. C₂×Q₈×D₁₇	C₂³	semidirect
235. C₂²×Dic₃₄	C₂³	semidirect
236. C₂×Q₁₆×C₁₇	C₂³	semidirect
240. C₂²×C₈×C₁₇	C₂³	semidirect
243. C₁₇×#125	C₂³	semidirect
249. C₁₇×C₂²⋊Q₈	C₂³	semidirect
253. C₄×Q₈×C₁₇	C₂³	semidirect
257. C₁₇×#117	C₂³	semidirect
265. #10587630	C₂³	semidirect
266. C₂×#63231	C₂³	semidirect
267. C₂×#63231	C₂³	semidirect
268. C₂×#63231	C₂³	semidirect
271. C₂×#63230	C₂³	semidirect
306. #10587610	C₂³	semidirect
307. C₂×#63223	C₂³	semidirect
321. C₂×#63219	C₂³	semidirect
322. C₂×#63219	C₂³	semidirect
323. C₂×#63219	C₂³	semidirect
324. C₂×#63218	C₂³	semidirect
327. C₂×C₈×D₁₇	C₂³	semidirect
342. #10587583	C₂³	semidirect
343. #10587583	C₂³	semidirect
361. #10587578	C₂³	semidirect
367. #10587576	C₂³	semidirect
374. #10587573	C₂³	semidirect
375. #10587573	C₂³	semidirect
428. #10587555	C₂³	semidirect
429. C₄×Dic₃₄	C₂³	semidirect
430. C₁₇×#107	C₂³	semidirect
431. C₁₇×#106	C₂³	semidirect
432. C₁₇×#106	C₂³	semidirect
433. C₁₇×C₄⋊C₈	C₂³	semidirect
434. C₁₇×#103	C₂³	semidirect
435. C₁₇×#103	C₂³	semidirect
436. C₁₇×#103	C₂³	semidirect
437. C₁₇×#103	C₂³	semidirect
445. C₁₇×C₂²⋊C₈	C₂³	semidirect
446. C₄×C₈×C₁₇	C₂³	semidirect
447. #10587506	C₂³	semidirect
448. #10587506	C₂³	semidirect
452. C₂²⋊#3622	C₂³	semidirect
455. #10587492	C₂³	semidirect
462. #10587491	C₂³	semidirect
463. #10587491	C₂³	semidirect
464. #10587488	C₂³	semidirect
465. #10587487	C₂³	semidirect
466. #10587487	C₂³	semidirect
467. #10587487	C₂³	semidirect
468. #10587486	C₂³	semidirect
469. #10587485	C₂³	semidirect
470. #10587485	C₂³	semidirect
471. C₈×Dic₁₇	C₂³	semidirect
472. #10587481	C₂³	semidirect
473. #10587481	C₂³	semidirect
474. #10587481	C₂³	semidirect
481. #10587480	C₂³	semidirect
482. #10587480	C₂³	semidirect
483. #10587480	C₂³	semidirect
484. #10587479	C₂³	semidirect
485. #10587478	C₂³	semidirect
486. #10587478	C₂³	semidirect
487. #10587478	C₂³	semidirect
488. C₄⋊#3622	C₂³	semidirect
489. #10587474	C₂³	semidirect
897. #3296	D₁₇	semidirect
996. #552	C₂×D₁₇	semidirect
1041. #488	C₂×D₁₇	semidirect
1047. #483	C₂×D₁₇	semidirect
1051. #482	C₂×D₁₇	semidirect
1057. #478	C₂×D₁₇	semidirect
1065. #467	C₂×D₁₇	semidirect
1073. #465	C₂×D₁₇	semidirect
1077. #464	C₂×D₁₇	semidirect
1093. #452	C₂×D₁₇	semidirect
1115. #450	C₂×D₁₇	semidirect
1129. C₄×SD₁₆	C₂×D₁₇	semidirect
1137. C₈×D₄	C₂×D₁₇	semidirect
1143. #416	C₂×D₁₇	semidirect
1147. C₂×#102	C₂×D₁₇	semidirect
1203. C₂×Q₁₆	C₂²×D₁₇	semidirect
1237. C₂²×C₈	C₂²×D₁₇	semidirect
1266. #125	C₂²×D₁₇	semidirect
1314. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1355. C₄×Q₈	C₂²×D₁₇	semidirect
1379. #117	C₂²×D₁₇	semidirect
1395. #107	C₂²×D₁₇	semidirect
1398. #106	C₂²×D₁₇	semidirect
1399. #106	C₂²×D₁₇	semidirect
1403. C₄⋊C₈	C₂²×D₁₇	semidirect
1412. #103	C₂²×D₁₇	semidirect
1413. #103	C₂²×D₁₇	semidirect
1414. #103	C₂²×D₁₇	semidirect
1415. #103	C₂²×D₁₇	semidirect
1447. C₂²⋊C₈	C₂²×D₁₇	semidirect
1451. C₄×C₈	C₂²×D₁₇	semidirect
1452. C₁₇	#61631	semidirect

Maximal subgroups

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

subgroup	index
#14543030	2
#14542414	2
#14540808	2
#14540802	2
#14540801	2
#14540799	2
#14540620	2
#14540618	2
#14540617	2
D₄×#63219	2
SD₁₆×D₆₈	2
#14540478	2
#14540477	2
#14540292	2
#14540291	2
#14540290	2
#14540289	2
#14539859	2
#14539853	2
#14539658	2
#14539650	2
#14539570	2
#14539566	2
#14539038	2
#14539033	2
#14538064	2
#14538058	2
C₂×#11762961	2
D₁₇×#450	2
#14537837	2
C₁₇×#3296	2
#61631	17