Subgroups — #17979960

Order 4352.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14545619	C₂	1	1	yes	maximal, characteristic, complemented
2	#14545618	C₂	1	1	yes	maximal, characteristic, complemented
3	#14545616	C₂	1	1	yes	maximal, characteristic, complemented
4	#14545615	C₂	1	1	yes	maximal, characteristic, complemented
5	#14545614	C₂	1	1	yes	maximal, characteristic, complemented
6	#14545611	C₂	1	1	yes	maximal, characteristic, complemented
7	#14545610	C₂	1	1	yes	maximal, characteristic, complemented
8	#14545609	C₂	1	1	yes	maximal, characteristic, complemented
9	#14545607	C₂	1	1	yes	maximal, characteristic, complemented
10	#14545606	C₂	1	1	yes	maximal, characteristic, complemented
11	#14545604	C₂	1	1	yes	maximal, characteristic, complemented
12	#14545603	C₂	1	1	yes	maximal, characteristic, complemented
13	#14545602	C₂	1	1	yes	maximal, characteristic, complemented
14	#14545599	C₂	1	1	yes	maximal, characteristic, complemented
15	#14545598	C₂	1	1	yes	maximal, characteristic, complemented
16	#14545597	C₂	1	1	yes	maximal, characteristic, complemented
17	#14545581	C₂	1	1	yes	maximal, characteristic, complemented
18	#14545579	C₂	1	1	yes	maximal, characteristic, complemented
19	#14545528	C₂	1	1	yes	maximal, characteristic, complemented
20	#14545526	C₂	1	1	yes	maximal, characteristic, complemented
21	#14545516	C₂	1	1	yes	maximal, characteristic, complemented
22	#14545516	C₂	1	1	yes	maximal, characteristic, complemented
23	#14545516	C₂	1	1	yes	maximal, characteristic, complemented
24	#14545516	C₂	1	1	yes	maximal, characteristic, complemented
25	#14545470	C₂	1	1	yes	maximal, characteristic, complemented
26	#14545467	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#11763833	C₂	1	1	yes	maximal, characteristic, complemented
28	#14545355	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#10587678	C₂	1	1	yes	maximal, characteristic, complemented
30	#14545348	C₂	1	1	yes	maximal, characteristic, complemented
31	#14542166	C₂	1	1	yes	maximal, characteristic
32	C₂×#10587678	C₂²	1	1	yes	characteristic
33	C₂×#10587678	C₂²	1	1	yes	characteristic
34	C₂×#10587678	C₂²	1	1	yes	characteristic
35	C₂×#10587678	C₂²	1	1	yes	characteristic
36	C₂²×#63247	C₂²	1	1	yes	characteristic
37	C₂²×#63247	C₂²	1	1	yes	characteristic
38	#11763861	C₂²	1	1	yes	characteristic, complemented
39	#11763861	C₂²	1	1	yes	characteristic, complemented
40	#11763861	C₂²	1	1	yes	characteristic, complemented
41	#11763861	C₂²	1	1	yes	characteristic, complemented
42	#11763861	C₂²	1	1	yes	characteristic, complemented
43	#11763861	C₂²	1	1	yes	characteristic, complemented
44	#11763860	C₂²	1	1	yes	characteristic, complemented
45	#11763860	C₂²	1	1	yes	characteristic, complemented
46	#11763860	C₂²	1	1	yes	characteristic, complemented
47	#11763859	C₂²	1	1	yes	characteristic, complemented
48	#11763859	C₂²	1	1	yes	characteristic, complemented
49	#11763859	C₂²	1	1	yes	characteristic, complemented
50	#11763858	C₂²	1	1	yes	characteristic, complemented
51	#11763858	C₂²	1	1	yes	characteristic, complemented
52	#11763858	C₂²	1	1	yes	characteristic, complemented
53	Q₈×#3624	C₂²	1	1	yes	characteristic, complemented
54	#11763844	C₂²	1	1	yes	characteristic
55	#11763844	C₂²	1	1	yes	characteristic
56	#11763844	C₂²	1	1	yes	characteristic
57	#11763844	C₂²	1	1	yes	characteristic
58	#11763844	C₂²	1	1	yes	characteristic, complemented
59	#11763843	C₂²	1	1	yes	characteristic, complemented
60	#11763842	C₂²	1	1	yes	characteristic
61	#11763842	C₂²	1	1	yes	characteristic
62	#11763842	C₂²	1	1	yes	characteristic
63	#11763842	C₂²	1	1	yes	characteristic
64	#11763842	C₂²	1	1	yes	characteristic, complemented
65	#11763842	C₂²	1	1	yes	characteristic, complemented
66	#11763841	C₂²	1	1	yes	characteristic
67	#11763841	C₂²	1	1	yes	characteristic
68	#11763841	C₂²	1	1	yes	characteristic
69	#11763841	C₂²	1	1	yes	characteristic
70	#11763841	C₂²	1	1	yes	characteristic, complemented
71	#11763841	C₂²	1	1	yes	characteristic, complemented
72	#11763840	C₂²	1	1	yes	characteristic
73	#11763840	C₂²	1	1	yes	characteristic
74	#11763840	C₂²	1	1	yes	characteristic
75	#11763840	C₂²	1	1	yes	characteristic
76	#11763840	C₂²	1	1	yes	characteristic
77	#11763840	C₂²	1	1	yes	characteristic
78	#11763840	C₂²	1	1	yes	characteristic
79	#11763840	C₂²	1	1	yes	characteristic
80	#11763840	C₂²	1	1	yes	characteristic, complemented
81	#11763840	C₂²	1	1	yes	characteristic, complemented
82	#11763839	C₂²	1	1	yes	characteristic, complemented
83	#11763839	C₂²	1	1	yes	characteristic, complemented
84	#11763838	C₂²	1	1	yes	characteristic
85	#11763838	C₂²	1	1	yes	characteristic
86	#11763838	C₂²	1	1	yes	characteristic
87	#11763838	C₂²	1	1	yes	characteristic
88	#11763838	C₂²	1	1	yes	characteristic, complemented
89	#11763838	C₂²	1	1	yes	characteristic, complemented
90	#11763837	C₂²	1	1	yes	characteristic, complemented
91	#11763836	C₂²	1	1	yes	characteristic
92	#11763836	C₂²	1	1	yes	characteristic
93	#11763836	C₂²	1	1	yes	characteristic
94	#11763836	C₂²	1	1	yes	characteristic
95	#11763836	C₂²	1	1	yes	characteristic, complemented
96	#11763836	C₂²	1	1	yes	characteristic, complemented
97	D₄×#3624	C₂²	1	1	yes	characteristic
98	D₄×#3624	C₂²	1	1	yes	characteristic
99	D₄×#3624	C₂²	1	1	yes	characteristic
100	D₄×#3624	C₂²	1	1	yes	characteristic
101	D₄×#3624	C₂²	1	1	yes	characteristic, complemented
102	#11763834	C₂²	1	1	yes	characteristic, complemented
103	#11763834	C₂²	1	1	yes	characteristic, complemented
104	#11763834	C₂²	1	1	yes	characteristic, complemented
105	#11763834	C₂²	1	1	yes	characteristic, complemented
106	#11763833	C₂²	1	1	yes	characteristic
107	#11763833	C₂²	1	1	yes	characteristic
108	#11763833	C₂²	1	1	yes	characteristic
109	#11763833	C₂²	1	1	yes	characteristic
110	#11763833	C₂²	1	1	yes	characteristic
111	#11763833	C₂²	1	1	yes	characteristic
112	#11763833	C₂²	1	1	yes	characteristic
113	#11763833	C₂²	1	1	yes	characteristic
114	#11763833	C₂²	1	1	yes	characteristic, complemented
115	#11763833	C₂²	1	1	yes	characteristic, complemented
116	#11763833	C₂²	1	1	yes	characteristic, complemented
117	#11763833	C₂²	1	1	yes	characteristic, complemented
118	#11763832	C₂²	1	1	yes	characteristic, complemented
119	#11763831	C₂²	1	1	yes	characteristic, complemented
120	#11763830	C₂²	1	1	yes	characteristic, complemented
121	#11763829	C₂²	1	1	yes	characteristic, complemented
122	#11763828	C₂²	1	1	yes	characteristic, complemented
123	#11763827	C₂²	1	1	yes	characteristic, complemented
124	#11763826	C₂²	1	1	yes	characteristic, complemented
125	#11763825	C₂²	1	1	yes	characteristic, complemented
126	#11763815	C₂²	1	1	yes	characteristic
127	#11763815	C₂²	1	1	yes	characteristic
128	#11763815	C₂²	1	1	yes	characteristic
129	#11763815	C₂²	1	1	yes	characteristic
130	C₂×#10587544	C₂²	1	1	yes	characteristic
131	C₂×C₄⋊#3624	C₂²	1	1	yes	characteristic
132	#11763782	C₂²	1	1	yes	characteristic
133	#11763782	C₂²	1	1	yes	characteristic
134	#11763782	C₂²	1	1	yes	characteristic
135	#11763782	C₂²	1	1	yes	characteristic
136	C₂×C₂²⋊#3624	C₂²	1	1	yes	characteristic
137	C₂×C₂²⋊#3624	C₂²	1	1	yes	characteristic
138	#11763774	C₂²	1	1	yes	characteristic, complemented
139	#11763774	C₂²	1	1	yes	characteristic, complemented
140	#11763774	C₂²	1	1	yes	characteristic, complemented
141	#11763774	C₂²	1	1	yes	characteristic, complemented
142	#11763773	C₂²	1	1	yes	characteristic
143	#11763773	C₂²	1	1	yes	characteristic
144	#11763773	C₂²	1	1	yes	characteristic
145	#11763773	C₂²	1	1	yes	characteristic
146	#11763773	C₂²	1	1	yes	characteristic
147	#11763773	C₂²	1	1	yes	characteristic
148	#11763773	C₂²	1	1	yes	characteristic
149	#11763773	C₂²	1	1	yes	characteristic
150	#11763773	C₂²	1	1	yes	characteristic
151	#11763773	C₂²	1	1	yes	characteristic
152	#11763773	C₂²	1	1	yes	characteristic
153	#11763773	C₂²	1	1	yes	characteristic
154	#11763773	C₂²	1	1	yes	characteristic, complemented
155	#11763773	C₂²	1	1	yes	characteristic, complemented
156	#11763773	C₂²	1	1	yes	characteristic, complemented
157	#11763773	C₂²	1	1	yes	characteristic, complemented
158	C₄×#63243	C₂²	1	1	yes	characteristic, complemented
159	C₄×#63243	C₂²	1	1	yes	characteristic, complemented
160	C₄×#63247	C₂²	1	1	yes	characteristic
161	C₄×#63247	C₂²	1	1	yes	characteristic
162	C₄×#63247	C₂²	1	1	yes	characteristic
163	C₄×#63247	C₂²	1	1	yes	characteristic
164	C₄×#63247	C₂²	1	1	yes	characteristic, complemented
165	C₄×#63247	C₂²	1	1	yes	characteristic, complemented
166	#11763768	C₂²	1	1	yes	characteristic, complemented
167	C₂×#10587542	C₂²	1	1	yes	characteristic
168	C₂×#10587542	C₂²	1	1	yes	characteristic, complemented
169	C₄×#63242	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄×#3624	C₂²	1	1	yes	characteristic
171	C₂×C₄×#3624	C₂²	1	1	yes	characteristic, complemented
172	#11763427	C₄	1	1	yes	characteristic
173	#11763427	C₄	1	1	yes	characteristic
174	#11763423	C₄	1	1	yes	characteristic
175	#11763423	C₄	1	1	yes	characteristic
176	#11763416	C₄	1	1	yes	characteristic
177	#11763416	C₄	1	1	yes	characteristic
178	#11763409	C₄	1	1	yes	characteristic
179	#11763409	C₄	1	1	yes	characteristic
180	#11763408	C₄	1	1	yes	characteristic
181	#11763404	C₄	1	1	yes	characteristic
182	#11763401	C₄	1	1	yes	characteristic
183	#11763401	C₄	1	1	yes	characteristic
184	#11763397	C₄	1	1	yes	characteristic
185	#11763394	C₄	1	1	yes	characteristic
186	#11763394	C₄	1	1	yes	characteristic
187	#11763361	C₂²	1	1	yes	characteristic
188	#11763354	C₂²	1	1	yes	characteristic
189	#11763342	C₂²	1	1	yes	characteristic
190	#11763342	C₂²	1	1	yes	characteristic
191	#11763340	C₂²	1	1	yes	characteristic
192	#11763340	C₂²	1	1	yes	characteristic
193	#11763338	C₂²	1	1	yes	characteristic
194	#11763338	C₂²	1	1	yes	characteristic
195	#11763336	C₂²	1	1	yes	characteristic
196	#11763336	C₂²	1	1	yes	characteristic
197	#11763315	C₂²	1	1	yes	characteristic
198	#11763315	C₂²	1	1	yes	characteristic
199	C₄×#63254	C₂²	1	1	yes	characteristic
200	C₄×#63254	C₂²	1	1	yes	characteristic
201	C₂×#10587563	C₂²	1	1	yes	characteristic
202	C₁₇×#538	C₄	1	1	yes	characteristic
203	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
204	C₂×#63254	C₂³	1	1	yes	characteristic
205	C₂×#63254	C₂³	1	1	yes	characteristic
206	C₂×#63247	—	2	4	no	—
207	C₂×#63247	—	2	4	no	—
208	C₂×#63247	C₂³	1	1	yes	characteristic
209	C₂×#63247	C₂³	1	1	yes	characteristic
210	C₂×#63247	C₂³	1	1	yes	characteristic
211	C₂×#63247	C₂³	1	1	yes	characteristic
212	C₂×#63247	C₂³	1	1	yes	characteristic
213	C₂×#63247	C₂³	1	1	yes	characteristic
214	C₂×#63247	C₂³	1	1	yes	characteristic
215	C₂×#63247	C₂³	1	1	yes	characteristic
216	C₂×#63247	C₂³	1	1	yes	characteristic
217	C₂×#63247	C₂³	1	1	yes	characteristic
218	C₂×#63247	C₂³	1	1	yes	characteristic
219	C₂×#63247	C₂³	1	1	yes	characteristic
220	C₂²×#3624	C₂³	1	1	yes	characteristic
221	C₂²×#3624	C₂³	1	1	yes	characteristic
222	C₂²×#3624	C₂³	1	1	yes	characteristic
223	C₂²×#3624	C₂³	1	1	yes	characteristic
224	C₂²×#3624	C₂³	1	1	yes	characteristic
225	C₂²×#3624	C₂³	1	1	yes	characteristic
226	C₂²×#3624	C₂³	1	1	yes	characteristic
227	C₂²×#3624	C₂³	1	1	yes	characteristic
228	C₂²×#3624	C₂³	1	1	yes	characteristic
229	C₂²×#3624	C₂³	1	1	yes	characteristic
230	C₂²×#3624	C₂³	1	1	yes	characteristic
231	C₂²×#3624	C₂³	1	1	yes	characteristic
232	#10587678	—	2	4	no	—
233	#10587678	—	2	4	no	—
234	#10587678	—	2	4	no	—
235	#10587678	—	2	4	no	—
236	C₂×#63243	C₂³	1	1	yes	characteristic
237	C₂×#63243	C₂³	1	1	yes	characteristic
238	C₂×#63243	C₂³	1	1	yes	characteristic
239	C₂×#63243	C₂³	1	1	yes	characteristic
240	C₂×#63242	C₂³	1	1	yes	characteristic
241	C₂×#63242	C₂³	1	1	yes	characteristic
242	C₂×#63242	C₂³	1	1	yes	characteristic
243	C₂×#63242	C₂³	1	1	yes	characteristic
244	C₁₇×#126	C₂×C₄	1	1	yes	characteristic
245	C₁₇×#126	C₂×C₄	1	1	yes	characteristic
246	C₁₇×#124	C₂×C₄	1	1	yes	characteristic
247	C₁₇×#124	C₂×C₄	1	1	yes	characteristic
248	C₁₇×#123	C₂×C₄	1	1	yes	characteristic
249	C₁₇×#123	C₂×C₄	1	1	yes	characteristic
250	C₁₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
251	C₁₇×#121	C₂×C₄	1	1	yes	characteristic
252	C₁₇×#121	C₂×C₄	1	1	yes	characteristic
253	C₁₇×#121	C₂×C₄	1	1	yes	characteristic
254	C₁₇×#120	C₂×C₄	1	1	yes	characteristic
255	C₁₇×#120	C₂×C₄	1	1	yes	characteristic
256	C₄×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
257	C₄×D₄×C₁₇	C₂×C₄	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₁₇	C₂×C₄	1	1	yes	characteristic
259	#10587639	C₂×C₄	1	1	yes	characteristic
260	#10587639	C₂×C₄	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₁₇	C₂×C₄	1	1	yes	characteristic
262	#10587632	C₂×C₄	1	1	yes	characteristic
263	#10587632	C₂×C₄	1	1	yes	characteristic
264	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic
265	#10587630	C₂×C₄	1	1	yes	characteristic
266	#10587626	C₂×C₄	1	1	yes	characteristic
267	#10587625	C₂×C₄	1	1	yes	characteristic
268	#10587625	C₂×C₄	1	1	yes	characteristic
269	#10587625	C₂×C₄	1	1	yes	characteristic
270	#10587625	C₂×C₄	1	1	yes	characteristic
271	#10587625	C₂×C₄	1	1	yes	characteristic
272	#10587625	C₂×C₄	1	1	yes	characteristic
273	#10587625	C₂×C₄	1	1	yes	characteristic
274	#10587625	C₂×C₄	1	1	yes	characteristic
275	#10587624	C₂×C₄	1	1	yes	characteristic
276	#10587624	C₂×C₄	1	1	yes	characteristic
277	#10587622	C₂×C₄	1	1	yes	characteristic
278	#10587622	C₂×C₄	1	1	yes	characteristic
279	#10587621	C₂×C₄	1	1	yes	characteristic
280	#10587621	C₂×C₄	1	1	yes	characteristic
281	#10587621	C₂×C₄	1	1	yes	characteristic
282	#10587621	C₂×C₄	1	1	yes	characteristic
283	#10587621	C₂×C₄	1	1	yes	characteristic
284	#10587621	C₂×C₄	1	1	yes	characteristic
285	D₄×Dic₁₇	C₂×C₄	1	1	yes	characteristic
286	D₄×Dic₁₇	C₂×C₄	1	1	yes	characteristic
287	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
289	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
290	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
291	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
292	#10587616	C₂×C₄	1	1	yes	characteristic
293	#10587615	C₂×C₄	1	1	yes	characteristic
294	#10587615	C₂×C₄	1	1	yes	characteristic
295	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
296	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
298	C₄×C₂²⋊D₁₇	C₂×C₄	1	1	yes	characteristic
299	#10587610	C₂×C₄	1	1	yes	characteristic
300	#10587610	C₂×C₄	1	1	yes	characteristic
301	#10587610	C₂×C₄	1	1	yes	characteristic
302	C₂×#63225	C₂×C₄	1	1	yes	characteristic
303	C₂×#63225	C₂×C₄	1	1	yes	characteristic
304	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
308	#10587584	C₂×C₄	1	1	yes	characteristic
309	#10587584	C₂×C₄	1	1	yes	characteristic
310	#10587582	C₂×C₄	1	1	yes	characteristic
311	#10587582	C₂×C₄	1	1	yes	characteristic
312	#10587580	C₂×C₄	1	1	yes	characteristic
313	#10587580	C₂×C₄	1	1	yes	characteristic
314	#10587579	C₂³	1	1	yes	characteristic
315	#10587578	C₂³	1	1	yes	characteristic
316	#10587578	C₂³	1	1	yes	characteristic
317	#10587576	C₂×C₄	1	1	yes	characteristic
318	#10587576	C₂×C₄	1	1	yes	characteristic
319	#10587575	C₂×C₄	1	1	yes	characteristic
320	#10587575	C₂×C₄	1	1	yes	characteristic
321	#10587575	C₂×C₄	1	1	yes	characteristic
322	#10587575	C₂×C₄	1	1	yes	characteristic
323	#10587575	C₂×C₄	1	1	yes	characteristic
324	#10587575	C₂×C₄	1	1	yes	characteristic
325	#10587574	C₂×C₄	1	1	yes	characteristic
326	#10587574	C₂×C₄	1	1	yes	characteristic
327	#10587573	C₂×C₄	1	1	yes	characteristic
328	#10587573	C₂×C₄	1	1	yes	characteristic
329	#10587573	C₂³	1	1	yes	characteristic
330	#10587573	C₂³	1	1	yes	characteristic
331	#10587573	C₂³	1	1	yes	characteristic
332	#10587572	C₂×C₄	1	1	yes	characteristic
333	#10587572	C₂×C₄	1	1	yes	characteristic
334	#10587571	C₂×C₄	1	1	yes	characteristic
335	#10587571	C₂×C₄	1	1	yes	characteristic
336	#10587571	C₂×C₄	1	1	yes	characteristic
337	#10587571	C₂×C₄	1	1	yes	characteristic
338	#10587571	C₂×C₄	1	1	yes	characteristic
339	#10587571	C₂×C₄	1	1	yes	characteristic
340	#10587570	C₂×C₄	1	1	yes	characteristic
341	#10587570	C₂×C₄	1	1	yes	characteristic
342	#10587569	C₂×C₄	1	1	yes	characteristic
343	#10587569	C₂×C₄	1	1	yes	characteristic
344	#10587569	C₂×C₄	1	1	yes	characteristic
345	#10587569	C₂×C₄	1	1	yes	characteristic
346	#10587569	C₂×C₄	1	1	yes	characteristic
347	#10587569	C₂×C₄	1	1	yes	characteristic
348	#10587567	C₂×C₄	1	1	yes	characteristic
349	#10587567	C₂×C₄	1	1	yes	characteristic
350	#10587567	C₂×C₄	1	1	yes	characteristic
351	#10587567	C₂×C₄	1	1	yes	characteristic
352	#10587567	C₂³	1	1	yes	characteristic
353	#10587567	C₂³	1	1	yes	characteristic
354	#10587567	C₂³	1	1	yes	characteristic
355	#10587567	C₂³	1	1	yes	characteristic
356	#10587567	C₂³	1	1	yes	characteristic
357	#10587567	C₂³	1	1	yes	characteristic
358	#10587565	C₂×C₄	1	1	yes	characteristic
359	#10587565	C₂×C₄	1	1	yes	characteristic
360	#10587565	C₂×C₄	1	1	yes	characteristic
361	#10587565	C₂×C₄	1	1	yes	characteristic
362	#10587565	C₂×C₄	1	1	yes	characteristic
363	#10587565	C₂×C₄	1	1	yes	characteristic
364	#10587565	C₂×C₄	1	1	yes	characteristic
365	#10587565	C₂×C₄	1	1	yes	characteristic
366	#10587565	C₂×C₄	1	1	yes	characteristic
367	#10587565	C₂×C₄	1	1	yes	characteristic
368	#10587564	C₂×C₄	1	1	yes	characteristic
369	#10587564	C₂×C₄	1	1	yes	characteristic
370	#10587564	C₂×C₄	1	1	yes	characteristic
371	#10587564	C₂×C₄	1	1	yes	characteristic
372	#10587564	C₂×C₄	1	1	yes	characteristic
373	#10587564	C₂×C₄	1	1	yes	characteristic
374	#10587564	C₂×C₄	1	1	yes	characteristic
375	#10587564	C₂×C₄	1	1	yes	characteristic
376	#10587563	C₂×C₄	1	1	yes	characteristic
377	#10587563	C₂×C₄	1	1	yes	characteristic
378	#10587563	C₂×C₄	1	1	yes	characteristic
379	#10587563	C₂×C₄	1	1	yes	characteristic
380	#10587563	C₂³	1	1	yes	characteristic
381	#10587563	C₂³	1	1	yes	characteristic
382	#10587563	C₂³	1	1	yes	characteristic
383	#10587563	C₂³	1	1	yes	characteristic
384	#10587563	C₂³	1	1	yes	characteristic
385	#10587563	C₂³	1	1	yes	characteristic
386	#10587563	C₂³	1	1	yes	characteristic
387	#10587563	C₂³	1	1	yes	characteristic
388	#10587562	C₂×C₄	1	1	yes	characteristic
389	#10587562	C₂×C₄	1	1	yes	characteristic
390	C₄²×D₁₇	C₂³	1	1	yes	characteristic
391	C₄²×D₁₇	C₂³	1	1	yes	characteristic
392	#10587556	C₂×C₄	1	1	yes	characteristic
393	#10587556	C₂×C₄	1	1	yes	characteristic
394	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
395	C₄×Dic₃₄	C₂×C₄	1	1	yes	characteristic
396	C₂²⋊#3624	C₂³	1	1	yes	characteristic
397	C₂²⋊#3624	C₂³	1	1	yes	characteristic
398	C₂²⋊#3624	C₂³	1	1	yes	characteristic
399	C₂²⋊#3624	C₂³	1	1	yes	characteristic
400	C₂²⋊#3624	C₂³	1	1	yes	characteristic
401	C₂²⋊#3624	C₂³	1	1	yes	characteristic
402	C₂²⋊#3624	C₂³	1	1	yes	characteristic
403	C₂²⋊#3624	C₂³	1	1	yes	characteristic
404	C₂²⋊#3624	C₂³	1	1	yes	characteristic
405	C₂²⋊#3624	C₂³	1	1	yes	characteristic
406	C₂²⋊#3624	C₂³	1	1	yes	characteristic
407	C₂²⋊#3624	C₂³	1	1	yes	characteristic
408	C₂²⋊#3624	C₂³	1	1	yes	characteristic
409	C₂²⋊#3624	C₂³	1	1	yes	characteristic
410	C₂²⋊#3624	C₂³	1	1	yes	characteristic
411	C₂²⋊#3624	C₂³	1	1	yes	characteristic
412	#10587544	C₂³	1	1	yes	characteristic
413	#10587544	C₂³	1	1	yes	characteristic
414	#10587544	C₂³	1	1	yes	characteristic
415	#10587544	C₂³	1	1	yes	characteristic
416	#10587544	C₂³	1	1	yes	characteristic
417	#10587544	C₂³	1	1	yes	characteristic
418	#10587544	C₂³	1	1	yes	characteristic
419	#10587544	C₂³	1	1	yes	characteristic
420	#10587544	C₂³	1	1	yes	characteristic
421	#10587544	C₂³	1	1	yes	characteristic
422	#10587544	C₂³	1	1	yes	characteristic
423	#10587544	C₂³	1	1	yes	characteristic
424	#10587543	C₂³	1	1	yes	characteristic
425	#10587543	C₂³	1	1	yes	characteristic
426	#10587543	C₂³	1	1	yes	characteristic
427	#10587543	C₂³	1	1	yes	characteristic
428	#10587543	C₂³	1	1	yes	characteristic
429	#10587543	C₂³	1	1	yes	characteristic
430	#10587543	C₂³	1	1	yes	characteristic
431	#10587543	C₂³	1	1	yes	characteristic
432	#10587542	C₂³	1	1	yes	characteristic
433	#10587542	C₂³	1	1	yes	characteristic
434	#10587542	C₂³	1	1	yes	characteristic
435	#10587542	C₂³	1	1	yes	characteristic
436	#10587542	C₂³	1	1	yes	characteristic
437	#10587542	C₂³	1	1	yes	characteristic
438	#10587542	C₂³	1	1	yes	characteristic
439	#10587542	C₂³	1	1	yes	characteristic
440	#10587542	C₂³	1	1	yes	characteristic
441	#10587542	C₂³	1	1	yes	characteristic
442	#10587542	C₂³	1	1	yes	characteristic
443	#10587542	C₂³	1	1	yes	characteristic
444	#10587542	C₂³	1	1	yes	characteristic
445	#10587542	C₂³	1	1	yes	characteristic
446	#10587542	C₂³	1	1	yes	characteristic
447	#10587542	C₂³	1	1	yes	characteristic
448	#10587542	C₂³	1	1	yes	characteristic
449	#10587542	C₂³	1	1	yes	characteristic
450	#10587542	C₂³	1	1	yes	characteristic
451	#10587542	C₂³	1	1	yes	characteristic
452	C₄⋊#3624	C₂³	1	1	yes	characteristic
453	C₄⋊#3624	C₂³	1	1	yes	characteristic
454	C₄⋊#3624	C₂³	1	1	yes	characteristic
455	C₄⋊#3624	C₂³	1	1	yes	characteristic
456	C₄⋊#3624	C₂³	1	1	yes	characteristic
457	C₄⋊#3624	C₂³	1	1	yes	characteristic
458	C₄⋊#3624	C₂³	1	1	yes	characteristic
459	C₄⋊#3624	C₂³	1	1	yes	characteristic
460	C₄⋊#3624	C₂³	1	1	yes	characteristic
461	C₄⋊#3624	C₂³	1	1	yes	characteristic
462	C₄⋊#3624	C₂³	1	1	yes	characteristic
463	C₄⋊#3624	C₂³	1	1	yes	characteristic
464	C₄×#3624	C₂³	1	1	yes	characteristic
465	C₄×#3624	C₂³	1	1	yes	characteristic
466	C₄×#3624	C₂³	1	1	yes	characteristic
467	C₄×#3624	C₂³	1	1	yes	characteristic
468	C₄×#3624	C₂³	1	1	yes	characteristic
469	C₄×#3624	C₂³	1	1	yes	characteristic
470	C₄×#3624	C₂³	1	1	yes	characteristic
471	C₄×#3624	C₂³	1	1	yes	characteristic
472	C₄×#3624	C₂³	1	1	yes	characteristic
473	C₄×#3624	C₂³	1	1	yes	characteristic
474	C₄×#3624	C₂³	1	1	yes	characteristic
475	C₄×#3624	C₂³	1	1	yes	characteristic
476	C₄×#3624	C₂³	1	1	yes	characteristic
477	C₄×#3624	C₂³	1	1	yes	characteristic
478	C₄×#3624	C₂³	1	1	yes	characteristic
479	C₄×#3624	C₂³	1	1	yes	characteristic
480	C₄×#3624	C₂³	1	1	yes	characteristic
481	C₄×#3624	C₂³	1	1	yes	characteristic
482	C₄×#3624	C₂³	1	1	yes	characteristic
483	C₄×#3624	C₂³	1	1	yes	characteristic
484	C₂⁴×C₁₇	C₂²×C₄	1	1	yes	characteristic
485	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
486	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
487	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
493	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
495	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
496	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
507	C₂²×Dic₁₇	—	2	2	no	—
508	C₂²×Dic₁₇	—	2	2	no	—
509	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
515	C₂²×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
516	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
518	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
519	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
520	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
521	#63254	—	2	2	no	—
522	#63254	—	2	2	no	—
523	#63254	—	2	2	no	—
524	#63254	—	2	2	no	—
525	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
532	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
533	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
534	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
535	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
536	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
537	#63247	—	2	2	no	—
538	#63247	—	2	2	no	—
539	#63247	—	2	2	no	—
540	#63247	—	2	2	no	—
541	#63247	—	2	2	no	—
542	#63247	—	2	2	no	—
543	#63247	—	2	2	no	—
544	#63247	—	2	2	no	—
545	#63247	—	2	2	no	—
546	#63247	—	2	2	no	—
547	#63247	#41	1	4	yes	—
548	#63247	#41	1	4	yes	—
549	C₂×#3624	—	2	2	no	—
550	C₂×#3624	—	2	2	no	—
551	C₂×#3624	—	2	2	no	—
552	C₂×#3624	—	2	2	no	—
553	C₂×#3624	—	2	2	no	—
554	C₂×#3624	—	2	2	no	—
555	C₂×#3624	—	2	2	no	—
556	C₂×#3624	—	2	2	no	—
557	C₂×#3624	—	2	2	no	—
558	C₂×#3624	—	2	2	no	—
559	C₂×#3624	—	2	2	no	—
560	C₂×#3624	—	2	2	no	—
561	C₂×#3624	C₂⁴	1	1	yes	characteristic
562	C₂×#3624	C₂⁴	1	1	yes	characteristic
563	C₂×#3624	C₂⁴	1	1	yes	characteristic
564	C₂×#3624	C₂⁴	1	1	yes	characteristic
565	C₂×#3624	C₂⁴	1	1	yes	characteristic
566	C₂×#3624	C₂⁴	1	1	yes	characteristic
567	C₂×#3624	C₂⁴	1	1	yes	characteristic
568	C₂×#3624	C₂⁴	1	1	yes	characteristic
569	C₂×#3624	C₂⁴	1	1	yes	characteristic
570	C₂×#3624	C₂⁴	1	1	yes	characteristic
571	C₂×#3624	C₂⁴	1	1	yes	characteristic
572	C₂×#3624	C₂⁴	1	1	yes	characteristic
573	C₂×#3624	C₂⁴	1	1	yes	characteristic
574	C₂×#3624	C₂⁴	1	1	yes	characteristic
575	C₂×#3624	C₂⁴	1	1	yes	characteristic
576	C₂×#3624	C₂⁴	1	1	yes	characteristic
577	#63243	—	2	2	no	—
578	#63243	—	2	2	no	—
579	#63243	—	2	2	no	—
580	#63243	—	2	2	no	—
581	#63242	—	2	2	no	—
582	#63242	—	2	2	no	—
583	#63242	—	2	2	no	—
584	#63242	—	2	2	no	—
585	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
591	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
592	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
593	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
594	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
595	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
596	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
597	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
604	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
605	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
606	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
614	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
625	#63227	C₂²×C₄	1	1	yes	characteristic
626	#63227	C₂²×C₄	1	1	yes	characteristic
627	#63227	C₂²×C₄	1	1	yes	characteristic
628	#63227	C₂²×C₄	1	1	yes	characteristic
629	#63227	C₂²×C₄	1	1	yes	characteristic
630	#63227	C₂²×C₄	1	1	yes	characteristic
631	#63227	C₂²×C₄	1	1	yes	characteristic
632	#63227	C₂²×C₄	1	1	yes	characteristic
633	#63227	C₂²×C₄	1	1	yes	characteristic
634	#63227	C₂²×C₄	1	1	yes	characteristic
635	#63227	C₂²×C₄	1	1	yes	characteristic
636	#63227	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
638	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
639	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
640	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
641	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
642	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
647	#63225	C₂²×C₄	1	1	yes	characteristic
648	#63225	C₂²×C₄	1	1	yes	characteristic
649	#63225	C₂²×C₄	1	1	yes	characteristic
650	#63225	C₂²×C₄	1	1	yes	characteristic
651	#63225	C₂²×C₄	1	1	yes	characteristic
652	#63225	C₂²×C₄	1	1	yes	characteristic
653	#63225	C₂²×C₄	1	1	yes	characteristic
654	#63225	C₂²×C₄	1	1	yes	characteristic
655	#63225	C₂²×C₄	1	1	yes	characteristic
656	#63225	C₂²×C₄	1	1	yes	characteristic
657	#63225	C₂²×C₄	1	1	yes	characteristic
658	#63225	C₂²×C₄	1	1	yes	characteristic
659	#63225	C₂²×C₄	1	1	yes	characteristic
660	#63225	C₂²×C₄	1	1	yes	characteristic
661	#63225	C₂²×C₄	1	1	yes	characteristic
662	#63225	C₂²×C₄	1	1	yes	characteristic
663	#63225	C₂²×C₄	1	1	yes	characteristic
664	#63225	C₂²×C₄	1	1	yes	characteristic
665	#63225	C₂²×C₄	1	1	yes	characteristic
666	#63225	C₂²×C₄	1	1	yes	characteristic
667	#63225	C₂²×C₄	1	1	yes	characteristic
668	#63225	C₂²×C₄	1	1	yes	characteristic
669	#63225	C₂²×C₄	1	1	yes	characteristic
670	#63225	C₂²×C₄	1	1	yes	characteristic
671	#63225	C₂²×C₄	1	1	yes	characteristic
672	#63225	C₂²×C₄	1	1	yes	characteristic
673	#63225	C₂²×C₄	1	1	yes	characteristic
674	#63225	C₂²×C₄	1	1	yes	characteristic
675	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
676	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
677	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
678	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
679	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
680	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
681	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
693	#60212	—	17	1	no	maximal, Sylow
694	C₂³×C₁₇	—	2	2	no	—
695	C₂³×C₁₇	—	4	1	no	—
696	C₂³×C₁₇	—	4	1	no	—
697	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
698	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
699	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
700	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
701	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
702	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
703	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
704	Q₈×C₁₇	—	4	1	no	—
705	D₄×C₁₇	—	2	2	no	—
706	D₄×C₁₇	—	2	2	no	—
707	D₄×C₁₇	—	4	1	no	—
708	D₄×C₁₇	—	4	1	no	—
709	D₄×C₁₇	—	4	1	no	—
710	D₄×C₁₇	—	4	1	no	—
711	D₄×C₁₇	—	4	1	no	—
712	C₂×C₄×C₁₇	—	4	1	no	—
713	C₂×C₄×C₁₇	—	4	1	no	—
714	C₂×C₄×C₁₇	—	4	1	no	—
715	C₂×C₄×C₁₇	—	4	1	no	—
716	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
726	C₂²⋊D₁₇	—	2	2	no	—
727	C₂²⋊D₁₇	—	2	2	no	—
728	C₂²⋊D₁₇	—	2	2	no	—
729	C₂²⋊D₁₇	—	2	2	no	—
730	C₂²⋊D₁₇	—	4	1	no	—
731	C₂²⋊D₁₇	—	4	1	no	—
732	C₂²⋊D₁₇	—	4	1	no	—
733	C₂²⋊D₁₇	—	4	1	no	—
734	C₂²⋊D₁₇	—	4	1	no	—
735	C₂²⋊D₁₇	—	4	1	no	—
736	C₂×Dic₁₇	—	2	2	no	—
737	C₂×Dic₁₇	—	2	2	no	—
738	C₂×Dic₁₇	—	2	2	no	—
739	C₂×Dic₁₇	—	2	1	no	—
740	C₂×Dic₁₇	—	2	1	no	—
741	C₂×Dic₁₇	—	2	1	no	—
742	C₂×Dic₁₇	—	2	1	no	—
743	C₂×Dic₁₇	—	2	1	no	—
744	C₂×Dic₁₇	—	2	1	no	—
745	C₂×Dic₁₇	—	2	1	no	—
746	C₂×Dic₁₇	—	2	1	no	—
747	C₂×Dic₁₇	—	4	1	no	—
748	C₂×Dic₁₇	—	4	1	no	—
749	C₂×Dic₁₇	—	4	1	no	—
750	C₂×Dic₁₇	—	4	1	no	—
751	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
754	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
756	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
757	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
758	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
759	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
760	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
761	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
762	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
763	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
764	C₂×Dic₁₇	C₂×#41	1	2	yes	—
765	C₂×Dic₁₇	C₂×#41	1	2	yes	—
766	C₂×Dic₁₇	C₂⁵	1	1	yes	characteristic
767	D₆₈	—	4	1	no	—
768	C₄×D₁₇	—	2	1	no	—
769	C₄×D₁₇	—	2	1	no	—
770	C₄×D₁₇	—	2	1	no	—
771	C₄×D₁₇	—	2	1	no	—
772	C₄×D₁₇	—	4	1	no	—
773	C₄×D₁₇	—	4	1	no	—
774	C₄×D₁₇	—	4	1	no	—
775	C₄×D₁₇	—	4	1	no	—
776	Dic₃₄	—	2	2	no	—
777	Dic₃₄	—	2	2	no	—
778	Dic₃₄	—	4	1	no	—
779	Dic₃₄	—	4	1	no	—
780	Dic₃₄	—	4	1	no	—
781	#3624	—	2	1	no	—
782	#3624	—	2	1	no	—
783	#3624	—	2	1	no	—
784	#3624	—	2	1	no	—
785	#3624	—	2	1	no	—
786	#3624	—	2	1	no	—
787	#3624	—	2	1	no	—
788	#3624	—	2	1	no	—
789	#3624	—	2	1	no	—
790	#3624	—	2	1	no	—
791	#3624	—	2	1	no	—
792	#3624	—	2	1	no	—
793	#3624	C₂×#41	1	2	yes	—
794	#3624	C₂×#41	1	2	yes	—
795	#3624	C₂×#41	1	2	yes	—
796	#3624	C₂×#41	1	2	yes	—
797	#3455	—	17	1	no	—
798	#2969	—	17	1	no	—
799	#2969	—	17	1	no	—
800	#2969	—	17	1	no	—
801	#2969	—	17	1	no	—
802	#2968	—	17	1	no	—
803	#2968	—	17	1	no	—
804	#2968	—	17	1	no	—
805	#2968	—	17	1	no	—
806	#2967	—	17	1	no	—
807	#2967	—	17	1	no	—
808	#2967	—	17	1	no	—
809	#2967	—	17	1	no	—
810	#2966	—	17	1	no	—
811	#2966	—	17	1	no	—
812	#2966	—	17	1	no	—
813	#2966	—	17	1	no	—
814	#2962	—	17	1	no	—
815	#2962	—	17	1	no	—
816	#2935	—	17	1	no	—
817	#2935	—	17	1	no	—
818	#2933	—	17	1	no	—
819	#2933	—	17	1	no	—
820	#2933	—	17	1	no	—
821	#2933	—	17	1	no	—
822	#2923	—	17	1	no	—
823	#2922	—	17	1	no	—
824	C₂×#433	—	17	1	no	—
825	#2875	—	17	1	no	—
826	C₄×#131	—	17	1	no	—
827	#2873	—	17	1	no	—
828	C₂²×C₁₇	—	2	1	no	—
829	C₂²×C₁₇	—	2	1	no	—
830	C₂²×C₁₇	—	2	1	no	—
831	C₂²×C₁₇	—	2	1	no	—
832	C₂²×C₁₇	—	2	1	no	—
833	C₂²×C₁₇	—	2	1	no	—
834	C₂²×C₁₇	—	2	1	no	—
835	C₂²×C₁₇	—	2	1	no	—
836	C₂²×C₁₇	—	2	1	no	—
837	C₂²×C₁₇	—	2	1	no	—
838	C₂²×C₁₇	—	2	1	no	—
839	C₂²×C₁₇	—	2	1	no	—
840	C₂²×C₁₇	—	2	1	no	—
841	C₂²×C₁₇	—	2	1	no	—
842	C₂²×C₁₇	—	8	2	no	—
843	C₂²×C₁₇	C₄×#41	1	2	yes	—
844	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
845	C₂×D₁₇	—	2	1	no	—
846	C₂×D₁₇	—	2	1	no	—
847	C₂×D₁₇	—	2	1	no	—
848	C₂×D₁₇	—	2	1	no	—
849	C₂×D₁₇	—	2	1	no	—
850	C₂×D₁₇	—	2	1	no	—
851	C₄×C₁₇	—	2	1	no	—
852	C₄×C₁₇	—	2	1	no	—
853	C₄×C₁₇	—	2	1	no	—
854	C₄×C₁₇	—	2	1	no	—
855	C₄×C₁₇	—	2	1	no	—
856	C₄×C₁₇	—	2	1	no	—
857	C₄×C₁₇	—	2	1	no	—
858	C₄×C₁₇	—	2	1	no	—
859	C₄×C₁₇	—	2	1	no	—
860	C₄×C₁₇	—	2	1	no	—
861	Dic₁₇	—	2	1	no	—
862	Dic₁₇	—	2	1	no	—
863	Dic₁₇	—	2	1	no	—
864	Dic₁₇	—	2	1	no	—
865	Dic₁₇	—	2	1	no	—
866	Dic₁₇	—	2	1	no	—
867	Dic₁₇	—	2	1	no	—
868	Dic₁₇	—	2	1	no	—
869	Dic₁₇	—	2	1	no	—
870	Dic₁₇	—	2	1	no	—
871	Dic₁₇	—	2	1	no	—
872	Dic₁₇	—	2	1	no	—
873	Dic₁₇	C₄×#41	1	2	yes	—
874	Dic₁₇	C₂²×#41	1	1	yes	characteristic
875	Dic₁₇	C₂²×#41	1	1	yes	characteristic
876	C₂×#131	—	17	1	no	—
877	C₂×#131	—	17	1	no	—
878	C₂×#131	—	17	1	no	—
879	C₂×#131	—	17	1	no	—
880	C₂²×M₁₆	—	17	1	no	—
881	C₂²×M₁₆	—	17	1	no	—
882	#542	—	17	1	no	—
883	#542	—	17	1	no	—
884	#542	—	17	1	no	—
885	#542	—	17	1	no	—
886	#541	—	17	1	no	—
887	#541	—	17	1	no	—
888	#540	—	17	1	no	—
889	#540	—	17	1	no	—
890	#539	—	17	1	no	—
891	#539	—	17	1	no	—
892	#539	—	17	1	no	—
893	#539	—	17	1	no	—
894	#538	—	17	1	no	—
895	#538	—	17	1	no	—
896	#538	—	17	1	no	—
897	#538	#595	1	1	yes	characteristic
898	#533	—	17	1	no	—
899	#532	—	17	1	no	—
900	#529	—	17	1	no	—
901	#529	—	17	1	no	—
902	#529	—	17	1	no	—
903	#529	—	17	1	no	—
904	#529	—	17	1	no	—
905	#529	—	17	1	no	—
906	#529	—	17	1	no	—
907	#529	—	17	1	no	—
908	#525	—	17	1	no	—
909	#525	—	17	1	no	—
910	C₄×#41	—	17	1	no	—
911	C₄×#41	—	17	1	no	—
912	C₂×#117	—	17	1	no	—
913	#446	—	17	1	no	—
914	#446	—	17	1	no	—
915	#446	—	17	1	no	—
916	#446	—	17	1	no	—
917	#446	—	17	1	no	—
918	#446	—	17	1	no	—
919	#446	—	17	1	no	—
920	#446	—	17	1	no	—
921	#446	—	17	1	no	—
922	#446	—	17	1	no	—
923	#446	—	17	1	no	—
924	#446	—	17	1	no	—
925	C₈×Q₈	—	17	1	no	—
926	C₈×Q₈	—	17	1	no	—
927	C₈×Q₈	—	17	1	no	—
928	C₈×Q₈	—	17	1	no	—
929	#436	—	17	1	no	—
930	#436	—	17	1	no	—
931	#436	—	17	1	no	—
932	#436	—	17	1	no	—
933	#436	—	17	1	no	—
934	#436	—	17	1	no	—
935	#436	—	17	1	no	—
936	#436	—	17	1	no	—
937	#436	—	17	1	no	—
938	#436	—	17	1	no	—
939	#436	—	17	1	no	—
940	#436	—	17	1	no	—
941	#435	—	17	1	no	—
942	#435	—	17	1	no	—
943	#435	—	17	1	no	—
944	#435	—	17	1	no	—
945	#435	—	17	1	no	—
946	#435	—	17	1	no	—
947	#435	—	17	1	no	—
948	#435	—	17	1	no	—
949	#435	—	17	1	no	—
950	#435	—	17	1	no	—
951	#435	—	17	1	no	—
952	#435	—	17	1	no	—
953	#435	—	17	1	no	—
954	#435	—	17	1	no	—
955	#435	—	17	1	no	—
956	#435	—	17	1	no	—
957	#435	—	17	1	no	—
958	#435	—	17	1	no	—
959	#435	—	17	1	no	—
960	#435	—	17	1	no	—
961	#435	—	17	1	no	—
962	#435	—	17	1	no	—
963	#435	—	17	1	no	—
964	#435	—	17	1	no	—
965	C₈×D₄	—	17	1	no	—
966	C₈×D₄	—	17	1	no	—
967	C₈×D₄	—	17	1	no	—
968	C₈×D₄	—	17	1	no	—
969	C₈×D₄	—	17	1	no	—
970	C₈×D₄	—	17	1	no	—
971	C₈×D₄	—	17	1	no	—
972	C₈×D₄	—	17	1	no	—
973	C₈×D₄	—	17	1	no	—
974	C₈×D₄	—	17	1	no	—
975	C₈×D₄	—	17	1	no	—
976	C₈×D₄	—	17	1	no	—
977	#433	—	17	1	no	—
978	#433	—	17	1	no	—
979	#433	—	17	1	no	—
980	#433	—	17	1	no	—
981	#433	—	17	1	no	—
982	#433	—	17	1	no	—
983	#433	—	17	1	no	—
984	#433	—	17	1	no	—
985	#433	—	17	1	no	—
986	#433	—	17	1	no	—
987	#433	—	17	1	no	—
988	#433	—	17	1	no	—
989	#433	—	17	1	no	—
990	#433	—	17	1	no	—
991	#433	—	17	1	no	—
992	#433	—	17	1	no	—
993	#432	—	17	1	no	—
994	#432	—	17	1	no	—
995	#432	—	17	1	no	—
996	#432	—	17	1	no	—
997	#431	—	17	1	no	—
998	#431	—	17	1	no	—
999	#431	—	17	1	no	—
1000	#431	—	17	1	no	—
1001	#424	—	17	1	no	—
1002	#424	—	17	1	no	—
1003	#424	—	17	1	no	—
1004	#424	—	17	1	no	—
1005	C₂×C₄⋊C₈	—	17	1	no	—
1006	C₂×C₄⋊C₈	—	17	1	no	—
1007	#408	—	17	1	no	—
1008	#408	—	17	1	no	—
1009	#408	—	17	1	no	—
1010	#408	—	17	1	no	—
1011	C₂×C₂²⋊C₈	—	17	1	no	—
1012	C₂×C₂²⋊C₈	—	17	1	no	—
1013	#405	—	17	1	no	—
1014	#405	—	17	1	no	—
1015	#405	—	17	1	no	—
1016	#405	—	17	1	no	—
1017	#405	—	17	1	no	—
1018	#405	—	17	1	no	—
1019	#405	—	17	1	no	—
1020	#405	—	17	1	no	—
1021	#405	—	17	1	no	—
1022	#405	—	17	1	no	—
1023	#405	—	17	1	no	—
1024	#405	—	17	1	no	—
1025	#405	—	17	1	no	—
1026	#405	—	17	1	no	—
1027	#405	—	17	1	no	—
1028	#405	—	17	1	no	—
1029	#405	—	17	1	no	—
1030	#405	—	17	1	no	—
1031	#405	—	17	1	no	—
1032	#405	—	17	1	no	—
1033	C₄×M₁₆	—	17	1	no	—
1034	C₄×M₁₆	—	17	1	no	—
1035	C₄×M₁₆	—	17	1	no	—
1036	C₄×M₁₆	—	17	1	no	—
1037	C₄×M₁₆	—	17	1	no	—
1038	C₄×M₁₆	—	17	1	no	—
1039	C₄×M₁₆	—	17	1	no	—
1040	C₄×M₁₆	—	17	1	no	—
1041	C₂×#97	—	17	1	no	—
1042	C₂×#97	—	17	1	no	—
1043	C₂×#97	—	17	1	no	—
1044	C₂×C₄×C₈	—	17	1	no	—
1045	C₂×C₄×C₈	—	17	1	no	—
1046	C₂×C₄×C₈	—	17	1	no	—
1047	C₂×C₁₇	—	2	2	no	—
1048	C₂×C₁₇	—	4	1	no	—
1049	C₂×C₁₇	—	4	1	no	—
1050	C₂×C₁₇	—	4	1	no	—
1051	C₂×C₁₇	—	4	1	no	—
1052	C₂×C₁₇	C₂×C₄×#41	1	1	yes	characteristic
1053	C₂×C₁₇	#3573	1	1	yes	characteristic
1054	C₂×C₁₇	#3573	1	1	yes	characteristic
1055	D₁₇	—	4	1	no	—
1056	D₁₇	—	4	1	no	—
1057	C₂×#41	—	17	1	no	—
1058	C₂×#41	—	17	1	no	—
1059	C₂³×C₄	—	17	1	no	—
1060	#131	—	34	4	no	—
1061	#131	—	34	4	no	—
1062	#131	—	34	4	no	—
1063	#131	—	34	4	no	—
1064	C₂×M₁₆	—	17	1	no	—
1065	C₂×M₁₆	—	17	1	no	—
1066	C₂×M₁₆	—	17	1	no	—
1067	C₂×M₁₆	—	17	1	no	—
1068	C₂×M₁₆	—	17	1	no	—
1069	C₂×M₁₆	—	17	1	no	—
1070	C₂×M₁₆	—	17	1	no	—
1071	C₂×M₁₆	—	17	1	no	—
1072	C₂×M₁₆	—	17	1	no	—
1073	C₂×M₁₆	—	17	1	no	—
1074	C₂×M₁₆	—	17	1	no	—
1075	C₂×M₁₆	—	17	1	no	—
1076	C₂×M₁₆	—	17	1	no	—
1077	C₂×M₁₆	—	17	1	no	—
1078	C₂×M₁₆	—	17	1	no	—
1079	C₂×M₁₆	—	17	1	no	—
1080	C₂×M₁₆	—	34	4	no	—
1081	C₂×M₁₆	—	34	4	no	—
1082	C₂²×C₈	—	17	1	no	—
1083	C₂²×C₈	—	17	1	no	—
1084	C₂²×C₈	—	17	1	no	—
1085	C₂²×C₈	—	17	1	no	—
1086	C₂²×C₈	—	17	1	no	—
1087	C₂²×C₈	—	17	1	no	—
1088	C₂²×C₈	—	17	1	no	—
1089	C₂²×C₈	—	17	1	no	—
1090	C₂²×C₈	—	17	1	no	—
1091	C₂²×C₈	—	17	1	no	—
1092	C₂²×C₈	—	17	1	no	—
1093	C₂²×C₈	—	17	1	no	—
1094	C₂²×C₈	—	17	1	no	—
1095	C₂²×C₈	—	17	1	no	—
1096	C₂²×C₈	—	17	1	no	—
1097	C₂²×C₈	—	17	1	no	—
1098	C₄⋊Q₈	—	17	1	no	—
1099	C₄⋊Q₈	—	17	1	no	—
1100	C₄⋊Q₈	—	17	1	no	—
1101	#127	—	17	1	no	—
1102	#126	—	17	1	no	—
1103	#126	—	17	1	no	—
1104	#126	—	17	1	no	—
1105	#126	—	17	1	no	—
1106	#126	—	17	1	no	—
1107	#126	—	17	1	no	—
1108	#126	—	17	1	no	—
1109	#126	—	17	1	no	—
1110	#126	—	17	1	no	—
1111	#126	—	17	1	no	—
1112	#126	—	17	1	no	—
1113	#126	—	17	1	no	—
1114	#126	—	17	1	no	—
1115	#126	—	17	1	no	—
1116	#126	C₂×#595	1	1	yes	characteristic
1117	#126	C₂×#595	1	1	yes	characteristic
1118	#125	—	17	1	no	—
1119	#125	—	17	1	no	—
1120	#125	—	17	1	no	—
1121	#125	—	17	1	no	—
1122	#125	—	17	1	no	—
1123	#125	—	17	1	no	—
1124	#125	—	17	1	no	—
1125	#125	—	17	1	no	—
1126	#125	—	17	1	no	—
1127	#125	—	17	1	no	—
1128	#124	—	17	1	no	—
1129	#124	—	17	1	no	—
1130	#124	—	17	1	no	—
1131	#124	—	17	1	no	—
1132	#124	—	17	1	no	—
1133	#124	—	17	1	no	—
1134	#124	—	17	1	no	—
1135	#124	—	17	1	no	—
1136	#124	C₂×#595	1	1	yes	characteristic
1137	#124	C₂×#595	1	1	yes	characteristic
1138	#123	—	17	1	no	—
1139	#123	—	17	1	no	—
1140	#123	—	17	1	no	—
1141	#123	—	17	1	no	—
1142	#123	—	17	1	no	—
1143	#123	—	17	1	no	—
1144	#123	—	17	1	no	—
1145	#123	—	17	1	no	—
1146	#123	—	17	1	no	—
1147	#123	—	17	1	no	—
1148	#123	—	17	1	no	—
1149	#123	—	17	1	no	—
1150	#123	—	17	1	no	—
1151	#123	—	17	1	no	—
1152	#123	—	17	1	no	—
1153	#123	—	17	1	no	—
1154	#123	—	17	1	no	—
1155	#123	—	17	1	no	—
1156	#123	C₂×#595	1	1	yes	characteristic
1157	#123	C₂×#595	1	1	yes	characteristic
1158	C₂²⋊Q₈	—	17	1	no	—
1159	C₂²⋊Q₈	—	17	1	no	—
1160	C₂²⋊Q₈	—	17	1	no	—
1161	C₂²⋊Q₈	—	17	1	no	—
1162	C₂²⋊Q₈	—	17	1	no	—
1163	C₂²⋊Q₈	—	17	1	no	—
1164	C₂²⋊Q₈	—	17	1	no	—
1165	C₂²⋊Q₈	—	17	1	no	—
1166	C₂²⋊Q₈	—	17	1	no	—
1167	C₂²⋊Q₈	—	17	1	no	—
1168	C₂²⋊Q₈	—	17	1	no	—
1169	C₂²⋊Q₈	—	17	1	no	—
1170	C₂²⋊Q₈	—	17	1	no	—
1171	C₂²⋊Q₈	—	17	1	no	—
1172	C₂²⋊Q₈	—	17	1	no	—
1173	C₂²⋊Q₈	C₂×#595	1	1	yes	characteristic
1174	#121	—	17	1	no	—
1175	#121	—	17	1	no	—
1176	#121	—	17	1	no	—
1177	#121	—	17	1	no	—
1178	#121	—	17	1	no	—
1179	#121	—	17	1	no	—
1180	#121	—	17	1	no	—
1181	#121	—	17	1	no	—
1182	#121	—	17	1	no	—
1183	#121	—	17	1	no	—
1184	#121	—	17	1	no	—
1185	#121	—	17	1	no	—
1186	#121	—	17	1	no	—
1187	#121	C₂×#595	1	1	yes	characteristic
1188	#121	C₂×#595	1	1	yes	characteristic
1189	#121	C₂×#595	1	1	yes	characteristic
1190	#120	—	17	1	no	—
1191	#120	—	17	1	no	—
1192	#120	C₂×#595	1	1	yes	characteristic
1193	#120	C₂×#595	1	1	yes	characteristic
1194	C₄×Q₈	—	17	1	no	—
1195	C₄×Q₈	—	17	1	no	—
1196	C₄×Q₈	—	17	1	no	—
1197	C₄×Q₈	—	17	1	no	—
1198	C₄×Q₈	—	17	1	no	—
1199	C₄×Q₈	—	17	1	no	—
1200	C₄×Q₈	—	17	1	no	—
1201	C₄×Q₈	—	17	1	no	—
1202	C₄×D₄	—	17	1	no	—
1203	C₄×D₄	—	17	1	no	—
1204	C₄×D₄	—	17	1	no	—
1205	C₄×D₄	—	17	1	no	—
1206	C₄×D₄	—	17	1	no	—
1207	C₄×D₄	—	17	1	no	—
1208	C₄×D₄	—	17	1	no	—
1209	C₄×D₄	—	17	1	no	—
1210	C₄×D₄	—	17	1	no	—
1211	C₄×D₄	—	17	1	no	—
1212	C₄×D₄	—	17	1	no	—
1213	C₄×D₄	—	17	1	no	—
1214	C₄×D₄	—	17	1	no	—
1215	C₄×D₄	—	17	1	no	—
1216	C₄×D₄	—	17	1	no	—
1217	C₄×D₄	—	17	1	no	—
1218	C₄×D₄	—	17	1	no	—
1219	C₄×D₄	—	17	1	no	—
1220	C₄×D₄	—	17	1	no	—
1221	C₄×D₄	—	17	1	no	—
1222	C₄×D₄	—	17	1	no	—
1223	C₄×D₄	—	17	1	no	—
1224	C₄×D₄	C₂×#595	1	1	yes	characteristic
1225	C₄×D₄	C₂×#595	1	1	yes	characteristic
1226	#117	—	17	1	no	—
1227	#117	—	17	1	no	—
1228	#117	—	17	1	no	—
1229	#117	—	17	1	no	—
1230	#117	—	17	1	no	—
1231	#117	—	17	1	no	—
1232	#117	—	17	1	no	—
1233	#117	—	17	1	no	—
1234	#117	—	17	1	no	—
1235	#117	—	17	1	no	—
1236	#117	—	17	1	no	—
1237	#117	—	17	1	no	—
1238	#117	—	17	1	no	—
1239	#117	—	17	1	no	—
1240	C₂×C₄⋊C₄	—	17	1	no	—
1241	C₂×C₄⋊C₄	—	17	1	no	—
1242	C₂×C₂²⋊C₄	—	17	1	no	—
1243	C₂×C₂²⋊C₄	C₂×#595	1	1	yes	characteristic
1244	C₂×C₄²	—	17	1	no	—
1245	C₂×C₄²	—	17	1	no	—
1246	C₂×C₄²	—	17	1	no	—
1247	C₂×C₄²	—	17	1	no	—
1248	C₂×C₄²	—	17	1	no	—
1249	C₂×C₄²	—	17	1	no	—
1250	C₄⋊C₈	—	17	1	no	—
1251	C₄⋊C₈	—	17	1	no	—
1252	C₄⋊C₈	—	17	1	no	—
1253	C₄⋊C₈	—	17	1	no	—
1254	C₄⋊C₈	—	17	1	no	—
1255	C₄⋊C₈	—	17	1	no	—
1256	C₄⋊C₈	—	17	1	no	—
1257	C₄⋊C₈	—	17	1	no	—
1258	C₄⋊C₈	—	17	1	no	—
1259	C₄⋊C₈	—	17	1	no	—
1260	C₄⋊C₈	—	17	1	no	—
1261	C₄⋊C₈	—	17	1	no	—
1262	C₄⋊C₈	—	17	1	no	—
1263	C₄⋊C₈	—	17	1	no	—
1264	C₄⋊C₈	—	17	1	no	—
1265	C₄⋊C₈	—	17	1	no	—
1266	C₄⋊C₈	—	17	1	no	—
1267	C₄⋊C₈	—	17	1	no	—
1268	C₄⋊C₈	—	17	1	no	—
1269	C₄⋊C₈	—	17	1	no	—
1270	C₄⋊C₈	—	17	1	no	—
1271	C₄⋊C₈	—	17	1	no	—
1272	C₄⋊C₈	—	17	1	no	—
1273	C₄⋊C₈	—	17	1	no	—
1274	C₂²⋊C₈	—	17	1	no	—
1275	C₂²⋊C₈	—	17	1	no	—
1276	C₂²⋊C₈	—	17	1	no	—
1277	C₂²⋊C₈	—	17	1	no	—
1278	C₂²⋊C₈	—	17	1	no	—
1279	C₂²⋊C₈	—	17	1	no	—
1280	C₂²⋊C₈	—	17	1	no	—
1281	C₂²⋊C₈	—	17	1	no	—
1282	C₂²⋊C₈	—	17	1	no	—
1283	C₂²⋊C₈	—	17	1	no	—
1284	C₂²⋊C₈	—	17	1	no	—
1285	C₂²⋊C₈	—	17	1	no	—
1286	C₂²⋊C₈	—	17	1	no	—
1287	C₂²⋊C₈	—	17	1	no	—
1288	C₂²⋊C₈	—	17	1	no	—
1289	C₂²⋊C₈	—	17	1	no	—
1290	C₂²⋊C₈	—	17	1	no	—
1291	C₂²⋊C₈	—	17	1	no	—
1292	C₂²⋊C₈	—	17	1	no	—
1293	C₂²⋊C₈	—	17	1	no	—
1294	C₂²⋊C₈	—	17	1	no	—
1295	C₂²⋊C₈	—	17	1	no	—
1296	C₂²⋊C₈	—	17	1	no	—
1297	C₂²⋊C₈	—	17	1	no	—
1298	#97	—	17	1	no	—
1299	#97	—	17	1	no	—
1300	#97	—	17	1	no	—
1301	#97	—	17	1	no	—
1302	#97	—	17	1	no	—
1303	#97	—	17	1	no	—
1304	#97	—	17	1	no	—
1305	#97	—	17	1	no	—
1306	#97	—	17	1	no	—
1307	#97	—	17	1	no	—
1308	#97	—	17	1	no	—
1309	#97	—	17	1	no	—
1310	#97	—	17	1	no	—
1311	#97	—	17	1	no	—
1312	#97	—	17	1	no	—
1313	#97	—	17	1	no	—
1314	#97	—	17	1	no	—
1315	#97	—	17	1	no	—
1316	#97	—	17	1	no	—
1317	#97	—	17	1	no	—
1318	C₄×C₈	—	17	1	no	—
1319	C₄×C₈	—	17	1	no	—
1320	C₄×C₈	—	17	1	no	—
1321	C₄×C₈	—	17	1	no	—
1322	C₄×C₈	—	17	1	no	—
1323	C₄×C₈	—	17	1	no	—
1324	C₄×C₈	—	17	1	no	—
1325	C₄×C₈	—	17	1	no	—
1326	C₄×C₈	—	17	1	no	—
1327	C₄×C₈	—	17	1	no	—
1328	C₄×C₈	—	17	1	no	—
1329	C₄×C₈	—	17	1	no	—
1330	C₄×C₈	—	17	1	no	—
1331	C₄×C₈	—	17	1	no	—
1332	C₄×C₈	—	17	1	no	—
1333	C₄×C₈	—	17	1	no	—
1334	C₄×C₈	—	17	1	no	—
1335	C₄×C₈	—	17	1	no	—
1336	C₄×C₈	—	17	1	no	—
1337	C₄×C₈	—	17	1	no	—
1338	C₁₇	#60212	1	1	yes	characteristic, complemented, Sylow
1339	C₂⁴	C₂²×#595	1	1	yes	characteristic
1340	#41	—	34	2	no	—
1341	#41	—	34	2	no	—
1342	#41	—	34	2	no	—
1343	#41	—	34	2	no	—
1344	C₂×Q₈	—	17	1	no	—
1345	C₂×Q₈	—	17	1	no	—
1346	C₂×Q₈	—	17	1	no	—
1347	C₂×Q₈	—	17	1	no	—
1348	C₂×Q₈	—	17	1	no	—
1349	C₂×Q₈	C₂²×#595	1	1	yes	characteristic
1350	C₂×D₄	—	17	1	no	—
1351	C₂×D₄	—	17	1	no	—
1352	C₂×D₄	—	17	1	no	—
1353	C₂×D₄	—	17	1	no	—
1354	C₂×D₄	—	17	1	no	—
1355	C₂×D₄	—	17	1	no	—
1356	C₂×D₄	—	17	1	no	—
1357	C₂×D₄	—	17	1	no	—
1358	C₂×D₄	—	17	1	no	—
1359	C₂×D₄	—	17	1	no	—
1360	C₂×D₄	—	17	1	no	—
1361	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1362	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1363	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1364	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1365	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1366	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1367	C₂×D₄	C₂²×#595	1	1	yes	characteristic
1368	C₂²×C₄	—	17	1	no	—
1369	C₂²×C₄	—	17	1	no	—
1370	C₂²×C₄	—	17	1	no	—
1371	C₂²×C₄	—	17	1	no	—
1372	C₂²×C₄	—	17	1	no	—
1373	C₂²×C₄	—	17	1	no	—
1374	C₂²×C₄	—	17	1	no	—
1375	C₂²×C₄	—	17	1	no	—
1376	C₂²×C₄	—	17	1	no	—
1377	C₂²×C₄	—	17	1	no	—
1378	C₂²×C₄	—	17	1	no	—
1379	C₂²×C₄	—	17	1	no	—
1380	C₂²×C₄	—	17	1	no	—
1381	C₂²×C₄	—	17	1	no	—
1382	C₂²×C₄	—	17	1	no	—
1383	C₂²×C₄	—	17	1	no	—
1384	C₂²×C₄	—	17	1	no	—
1385	C₂²×C₄	—	17	1	no	—
1386	C₂²×C₄	—	34	2	no	—
1387	C₂²×C₄	—	34	2	no	—
1388	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
1389	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
1390	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
1391	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
1392	M₁₆	—	17	4	no	—
1393	M₁₆	—	17	4	no	—
1394	M₁₆	—	34	2	no	—
1395	M₁₆	—	34	2	no	—
1396	M₁₆	—	34	2	no	—
1397	M₁₆	—	34	2	no	—
1398	M₁₆	—	34	2	no	—
1399	M₁₆	—	34	2	no	—
1400	M₁₆	—	34	2	no	—
1401	M₁₆	—	34	2	no	—
1402	M₁₆	—	34	2	no	—
1403	M₁₆	—	34	2	no	—
1404	M₁₆	—	34	2	no	—
1405	M₁₆	—	34	2	no	—
1406	M₁₆	—	34	2	no	—
1407	M₁₆	—	34	2	no	—
1408	C₂×C₈	—	17	1	no	—
1409	C₂×C₈	—	17	1	no	—
1410	C₂×C₈	—	17	1	no	—
1411	C₂×C₈	—	17	1	no	—
1412	C₂×C₈	—	17	1	no	—
1413	C₂×C₈	—	17	1	no	—
1414	C₂×C₈	—	17	1	no	—
1415	C₂×C₈	—	17	1	no	—
1416	C₂×C₈	—	17	1	no	—
1417	C₂×C₈	—	17	1	no	—
1418	C₂×C₈	—	17	1	no	—
1419	C₂×C₈	—	17	1	no	—
1420	C₂×C₈	—	17	1	no	—
1421	C₂×C₈	—	17	1	no	—
1422	C₂×C₈	—	17	1	no	—
1423	C₂×C₈	—	17	1	no	—
1424	C₂×C₈	—	34	2	no	—
1425	C₂×C₈	—	34	2	no	—
1426	C₂×C₈	—	34	2	no	—
1427	C₂×C₈	—	34	2	no	—
1428	C₂×C₈	—	34	2	no	—
1429	C₂×C₈	—	34	2	no	—
1430	C₂×C₈	—	34	2	no	—
1431	C₂×C₈	—	34	2	no	—
1432	C₂×C₈	—	34	2	no	—
1433	C₂×C₈	—	34	2	no	—
1434	C₂×C₈	—	34	2	no	—
1435	C₂×C₈	—	34	2	no	—
1436	C₂×C₈	—	34	2	no	—
1437	C₂×C₈	—	34	2	no	—
1438	C₂×C₈	—	34	2	no	—
1439	C₂×C₈	—	34	2	no	—
1440	C₄⋊C₄	—	17	1	no	—
1441	C₄⋊C₄	—	17	1	no	—
1442	C₄⋊C₄	—	17	1	no	—
1443	C₄⋊C₄	—	17	1	no	—
1444	C₄⋊C₄	—	17	1	no	—
1445	C₄⋊C₄	—	17	1	no	—
1446	C₄⋊C₄	—	17	1	no	—
1447	C₄⋊C₄	—	17	1	no	—
1448	C₄⋊C₄	—	17	1	no	—
1449	C₄⋊C₄	—	17	1	no	—
1450	C₄⋊C₄	—	17	1	no	—
1451	C₄⋊C₄	—	17	1	no	—
1452	C₄⋊C₄	—	17	1	no	—
1453	C₄⋊C₄	—	17	1	no	—
1454	C₄⋊C₄	—	17	1	no	—
1455	C₄⋊C₄	—	17	1	no	—
1456	C₄⋊C₄	—	17	1	no	—
1457	C₄⋊C₄	—	17	1	no	—
1458	C₄⋊C₄	—	17	1	no	—
1459	C₄⋊C₄	—	17	1	no	—
1460	C₄⋊C₄	—	17	1	no	—
1461	C₄⋊C₄	—	17	1	no	—
1462	C₄⋊C₄	—	17	1	no	—
1463	C₄⋊C₄	—	17	1	no	—
1464	C₄⋊C₄	—	17	1	no	—
1465	C₄⋊C₄	—	17	1	no	—
1466	C₄⋊C₄	—	17	1	no	—
1467	C₄⋊C₄	—	17	1	no	—
1468	C₄⋊C₄	—	17	1	no	—
1469	C₄⋊C₄	—	17	1	no	—
1470	C₄⋊C₄	—	17	1	no	—
1471	C₄⋊C₄	—	17	1	no	—
1472	C₄⋊C₄	—	17	1	no	—
1473	C₄⋊C₄	—	17	1	no	—
1474	C₄⋊C₄	—	17	1	no	—
1475	C₄⋊C₄	—	17	1	no	—
1476	C₄⋊C₄	—	17	1	no	—
1477	C₄⋊C₄	—	17	1	no	—
1478	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1479	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1480	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1481	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1482	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1483	C₄⋊C₄	C₂²×#595	1	1	yes	characteristic
1484	C₂²⋊C₄	—	17	1	no	—
1485	C₂²⋊C₄	—	17	1	no	—
1486	C₂²⋊C₄	—	17	1	no	—
1487	C₂²⋊C₄	—	17	1	no	—
1488	C₂²⋊C₄	—	17	1	no	—
1489	C₂²⋊C₄	—	17	1	no	—
1490	C₂²⋊C₄	—	17	1	no	—
1491	C₂²⋊C₄	—	17	1	no	—
1492	C₂²⋊C₄	—	17	1	no	—
1493	C₂²⋊C₄	—	17	1	no	—
1494	C₂²⋊C₄	—	17	1	no	—
1495	C₂²⋊C₄	—	17	1	no	—
1496	C₂²⋊C₄	—	17	1	no	—
1497	C₂²⋊C₄	—	17	1	no	—
1498	C₂²⋊C₄	—	17	1	no	—
1499	C₂²⋊C₄	—	17	1	no	—
1500	C₂²⋊C₄	—	17	1	no	—
1501	C₂²⋊C₄	—	17	1	no	—
1502	C₂²⋊C₄	—	17	1	no	—
1503	C₂²⋊C₄	—	17	1	no	—
1504	C₂²⋊C₄	—	17	1	no	—
1505	C₂²⋊C₄	—	17	1	no	—
1506	C₂²⋊C₄	—	17	1	no	—
1507	C₂²⋊C₄	—	17	1	no	—
1508	C₂²⋊C₄	—	17	1	no	—
1509	C₂²⋊C₄	—	17	1	no	—
1510	C₂²⋊C₄	—	17	1	no	—
1511	C₂²⋊C₄	—	17	1	no	—
1512	C₂²⋊C₄	—	17	1	no	—
1513	C₂²⋊C₄	—	17	1	no	—
1514	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂²×#595	1	1	yes	characteristic
1528	C₄²	—	17	1	no	—
1529	C₄²	—	17	1	no	—
1530	C₄²	—	17	1	no	—
1531	C₄²	—	17	1	no	—
1532	C₄²	—	17	1	no	—
1533	C₄²	—	17	1	no	—
1534	C₄²	—	17	1	no	—
1535	C₄²	—	17	1	no	—
1536	C₄²	—	17	1	no	—
1537	C₄²	—	17	1	no	—
1538	C₄²	—	17	1	no	—
1539	C₄²	—	17	1	no	—
1540	C₄²	—	17	1	no	—
1541	C₄²	—	17	1	no	—
1542	C₄²	—	17	1	no	—
1543	C₄²	—	17	1	no	—
1544	C₄²	—	17	1	no	—
1545	C₄²	—	17	1	no	—
1546	C₄²	C₂²×#595	1	1	yes	characteristic
1547	C₄²	C₂²×#595	1	1	yes	characteristic
1548	C₂³	—	2	2	no	—
1549	C₂³	—	4	1	no	—
1550	C₂³	—	4	1	no	—
1551	C₂³	—	17	1	no	—
1552	C₂³	—	17	1	no	—
1553	C₂³	C₂³×#595	1	1	yes	characteristic
1554	C₂³	C₂³×#595	1	1	yes	characteristic
1555	C₂³	C₂³×#595	1	1	yes	characteristic
1556	C₂³	C₂³×#595	1	1	yes	characteristic
1557	C₂³	C₂³×#595	1	1	yes	characteristic
1558	Q₈	—	4	1	no	—
1559	Q₈	—	34	2	no	—
1560	Q₈	—	34	2	no	—
1561	Q₈	—	68	1	no	—
1562	Q₈	—	68	1	no	—
1563	Q₈	—	68	1	no	—
1564	D₄	—	2	2	no	—
1565	D₄	—	2	2	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	4	1	no	—
1568	D₄	—	4	1	no	—
1569	D₄	—	4	1	no	—
1570	D₄	—	4	1	no	—
1571	D₄	—	34	2	no	—
1572	D₄	—	34	2	no	—
1573	D₄	—	34	2	no	—
1574	D₄	—	34	2	no	—
1575	D₄	—	68	1	no	—
1576	D₄	—	68	1	no	—
1577	D₄	—	68	1	no	—
1578	D₄	—	68	1	no	—
1579	D₄	—	68	1	no	—
1580	D₄	—	68	1	no	—
1581	D₄	—	68	1	no	—
1582	C₂×C₄	—	4	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	17	2	no	—
1587	C₂×C₄	—	17	2	no	—
1588	C₂×C₄	—	17	1	no	—
1589	C₂×C₄	—	17	1	no	—
1590	C₂×C₄	—	17	1	no	—
1591	C₂×C₄	—	17	1	no	—
1592	C₂×C₄	—	17	1	no	—
1593	C₂×C₄	—	17	1	no	—
1594	C₂×C₄	—	17	1	no	—
1595	C₂×C₄	—	17	1	no	—
1596	C₂×C₄	—	17	1	no	—
1597	C₂×C₄	—	17	1	no	—
1598	C₂×C₄	—	17	1	no	—
1599	C₂×C₄	—	17	1	no	—
1600	C₂×C₄	—	17	1	no	—
1601	C₂×C₄	—	17	1	no	—
1602	C₂×C₄	—	34	1	no	—
1603	C₂×C₄	—	34	1	no	—
1604	C₂×C₄	—	34	1	no	—
1605	C₂×C₄	—	34	1	no	—
1606	C₂×C₄	—	34	1	no	—
1607	C₂×C₄	—	34	1	no	—
1608	C₂×C₄	—	34	1	no	—
1609	C₂×C₄	—	34	1	no	—
1610	C₂×C₄	—	34	1	no	—
1611	C₂×C₄	—	34	1	no	—
1612	C₂×C₄	—	34	1	no	—
1613	C₂×C₄	—	34	1	no	—
1614	C₂×C₄	—	34	2	no	—
1615	C₂×C₄	—	34	2	no	—
1616	C₂×C₄	—	34	2	no	—
1617	C₂×C₄	—	68	1	no	—
1618	C₂×C₄	—	68	1	no	—
1619	C₂×C₄	—	68	1	no	—
1620	C₂×C₄	—	68	1	no	—
1621	C₂×C₄	—	68	1	no	—
1622	C₂×C₄	—	68	1	no	—
1623	C₂×C₄	—	68	1	no	—
1624	C₂×C₄	—	68	1	no	—
1625	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1626	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1627	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1628	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1629	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1630	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1631	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1632	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1633	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1634	C₂×C₄	C₂³×#595	1	1	yes	characteristic
1635	C₈	—	17	2	no	—
1636	C₈	—	17	2	no	—
1637	C₈	—	17	2	no	—
1638	C₈	—	17	2	no	—
1639	C₈	—	34	1	no	—
1640	C₈	—	34	1	no	—
1641	C₈	—	34	1	no	—
1642	C₈	—	34	1	no	—
1643	C₈	—	34	1	no	—
1644	C₈	—	34	1	no	—
1645	C₈	—	34	1	no	—
1646	C₈	—	34	1	no	—
1647	C₈	—	34	1	no	—
1648	C₈	—	34	1	no	—
1649	C₈	—	34	1	no	—
1650	C₈	—	34	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	8	2	no	—
1666	C₂²	—	34	1	no	—
1667	C₂²	—	34	1	no	—
1668	C₂²	—	34	1	no	—
1669	C₂²	—	34	1	no	—
1670	C₂²	—	34	1	no	—
1671	C₂²	—	34	1	no	—
1672	C₂²	#41×#595	1	2	yes	—
1673	C₂²	C₂⁴×#595	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	17	1	no	—
1685	C₄	—	17	1	no	—
1686	C₄	—	17	2	no	—
1687	C₄	—	34	1	no	—
1688	C₄	—	34	1	no	—
1689	C₄	—	34	1	no	—
1690	C₄	—	34	1	no	—
1691	C₄	—	34	1	no	—
1692	C₄	—	34	1	no	—
1693	C₄	—	34	1	no	—
1694	C₄	—	34	1	no	—
1695	C₄	—	34	1	no	—
1696	C₄	—	34	1	no	—
1697	C₄	—	34	1	no	—
1698	C₄	—	34	1	no	—
1699	C₂	—	2	2	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	68	1	no	—
1705	C₂	—	68	1	no	—
1706	C₂	C₂×#41×#595	1	1	yes	characteristic
1707	C₂	#14545779	1	1	yes	characteristic
1708	C₂	#14545779	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#595
commutator, socle	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₁₇×#538	C₄
prime radical	#14542166	C₂
cosocle	C₂×Dic₁₇	C₂⁵
hypercenter	#538	#595
hypocenter	C₁₇	#60212
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. #14545619	C₂	semidirect
2. #14545618	C₂	semidirect
3. #14545616	C₂	semidirect
4. #14545615	C₂	semidirect
5. #14545614	C₂	semidirect
6. #14545611	C₂	semidirect
7. #14545610	C₂	semidirect
8. #14545609	C₂	semidirect
9. #14545607	C₂	semidirect
10. #14545606	C₂	semidirect
11. #14545604	C₂	semidirect
12. #14545603	C₂	semidirect
13. #14545602	C₂	semidirect
14. #14545599	C₂	semidirect
15. #14545598	C₂	semidirect
16. #14545597	C₂	semidirect
17. #14545581	C₂	semidirect
18. #14545579	C₂	semidirect
19. #14545528	C₂	semidirect
20. #14545526	C₂	semidirect
21. #14545516	C₂	semidirect
22. #14545516	C₂	semidirect
23. #14545516	C₂	semidirect
24. #14545516	C₂	semidirect
25. #14545470	C₂	semidirect
26. #14545467	C₂	semidirect
27. C₂×#11763833	C₂	semidirect
28. #14545355	C₂	semidirect
29. C₄×#10587678	C₂	semidirect
30. #14545348	C₂	semidirect
38. #11763861	C₂²	semidirect
39. #11763861	C₂²	semidirect
40. #11763861	C₂²	semidirect
41. #11763861	C₂²	semidirect
42. #11763861	C₂²	semidirect
43. #11763861	C₂²	semidirect
44. #11763860	C₂²	semidirect
45. #11763860	C₂²	semidirect
46. #11763860	C₂²	semidirect
47. #11763859	C₂²	semidirect
48. #11763859	C₂²	semidirect
49. #11763859	C₂²	semidirect
50. #11763858	C₂²	semidirect
51. #11763858	C₂²	semidirect
52. #11763858	C₂²	semidirect
53. Q₈×#3624	C₂²	semidirect
58. #11763844	C₂²	semidirect
59. #11763843	C₂²	semidirect
64. #11763842	C₂²	semidirect
65. #11763842	C₂²	semidirect
70. #11763841	C₂²	semidirect
71. #11763841	C₂²	semidirect
80. #11763840	C₂²	semidirect
81. #11763840	C₂²	semidirect
82. #11763839	C₂²	semidirect
83. #11763839	C₂²	semidirect
88. #11763838	C₂²	semidirect
89. #11763838	C₂²	semidirect
90. #11763837	C₂²	semidirect
95. #11763836	C₂²	semidirect
96. #11763836	C₂²	semidirect
101. D₄×#3624	C₂²	semidirect
102. #11763834	C₂²	semidirect
103. #11763834	C₂²	semidirect
104. #11763834	C₂²	semidirect
105. #11763834	C₂²	semidirect
114. #11763833	C₂²	semidirect
115. #11763833	C₂²	semidirect
116. #11763833	C₂²	semidirect
117. #11763833	C₂²	semidirect
118. #11763832	C₂²	semidirect
119. #11763831	C₂²	semidirect
120. #11763830	C₂²	semidirect
121. #11763829	C₂²	semidirect
122. #11763828	C₂²	semidirect
123. #11763827	C₂²	semidirect
124. #11763826	C₂²	semidirect
125. #11763825	C₂²	semidirect
138. #11763774	C₂²	semidirect
139. #11763774	C₂²	semidirect
140. #11763774	C₂²	semidirect
141. #11763774	C₂²	semidirect
154. #11763773	C₂²	semidirect
155. #11763773	C₂²	semidirect
156. #11763773	C₂²	semidirect
157. #11763773	C₂²	semidirect
158. C₄×#63243	C₂²	semidirect
159. C₄×#63243	C₂²	semidirect
164. C₄×#63247	C₂²	semidirect
165. C₄×#63247	C₂²	semidirect
166. #11763768	C₂²	semidirect
168. C₂×#10587542	C₂²	semidirect
169. C₄×#63242	C₂²	semidirect
171. C₂×C₄×#3624	C₂²	semidirect
1338. C₁₇	#60212	semidirect

Maximal subgroups

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

subgroup	index
#14545619	2
#14545618	2
#14545616	2
#14545615	2
#14545614	2
#14545611	2
#14545610	2
#14545609	2
#14545607	2
#14545606	2
#14545604	2
#14545603	2
#14545602	2
#14545599	2
#14545598	2
#14545597	2
#14545581	2
#14545579	2
#14545528	2
#14545526	2
#14545516	2
#14545470	2
#14545467	2
C₂×#11763833	2
#14545355	2
C₄×#10587678	2
#14545348	2
#14542166	2
#60212	17