Subgroups — #17242240

Order 4352.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537134	C₂	1	1	yes	maximal, characteristic, complemented
2	#14537090	C₂	1	1	yes	maximal, characteristic, complemented
3	#14536662	C₂	1	1	yes	maximal, characteristic, complemented
4	#14536653	C₂	1	1	yes	maximal, characteristic, complemented
5	#14536475	C₂	1	1	yes	maximal, characteristic, complemented
6	#14536470	C₂	1	1	yes	maximal, characteristic, complemented
7	#14536315	C₂	1	1	yes	maximal, characteristic, complemented
8	#14536311	C₂	1	1	yes	maximal, characteristic, complemented
9	#14536080	C₂	1	1	yes	maximal, characteristic, complemented
10	#14536075	C₂	1	1	yes	maximal, characteristic, complemented
11	#14535731	C₂	1	1	yes	maximal, characteristic, complemented
12	#14535719	C₂	1	1	yes	maximal, characteristic, complemented
13	#14535718	C₂	1	1	yes	maximal, characteristic, complemented
14	#14535717	C₂	1	1	yes	maximal, characteristic, complemented
15	#14535675	C₂	1	1	yes	maximal, characteristic, complemented
16	#14535672	C₂	1	1	yes	maximal, characteristic, complemented
17	#14535616	C₂	1	1	yes	maximal, characteristic, complemented
18	#14535607	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534593	C₂	1	1	yes	maximal, characteristic
20	#14534593	C₂	1	1	yes	maximal, characteristic
21	#14533287	C₂	1	1	yes	maximal, characteristic, complemented
22	#14533279	C₂	1	1	yes	maximal, characteristic, complemented
23	#14533029	C₂	1	1	yes	maximal, characteristic
24	#14533027	C₂	1	1	yes	maximal, characteristic
25	#14533024	C₂	1	1	yes	maximal, characteristic
26	#14532932	C₂	1	1	yes	maximal, characteristic, complemented
27	#14532930	C₂	1	1	yes	maximal, characteristic, complemented
28	#14531515	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531512	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11762703	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2480	C₂	1	1	yes	maximal, characteristic
32	C₂×#10587574	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10587565	C₂²	1	1	yes	characteristic
34	C₂×#10587565	C₂²	1	1	yes	characteristic
35	C₂×#10587565	C₂²	1	1	yes	characteristic
36	C₂×#10587576	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587575	C₂²	1	1	yes	characteristic, complemented
38	C₂×#10587575	C₂²	1	1	yes	characteristic, complemented
39	C₂×#10587564	C₂²	1	1	yes	characteristic
40	C₂×#10587564	C₂²	1	1	yes	characteristic
41	C₂²×#63225	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
44	C₂²×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
45	#11762751	C₂²	1	1	yes	characteristic, complemented
46	#11762751	C₂²	1	1	yes	characteristic, complemented
47	#11762751	C₂²	1	1	yes	characteristic, complemented
48	#11762751	C₂²	1	1	yes	characteristic, complemented
49	#11762750	C₂²	1	1	yes	characteristic, complemented
50	#11762750	C₂²	1	1	yes	characteristic, complemented
51	#11762749	C₂²	1	1	yes	characteristic, complemented
52	#11762747	C₂²	1	1	yes	characteristic, complemented
53	#11762745	C₂²	1	1	yes	characteristic
54	#11762745	C₂²	1	1	yes	characteristic
55	#11762745	C₂²	1	1	yes	characteristic
56	#11762745	C₂²	1	1	yes	characteristic
57	#11762743	C₂²	1	1	yes	characteristic, complemented
58	#11762743	C₂²	1	1	yes	characteristic, complemented
59	#11762742	C₂²	1	1	yes	characteristic, complemented
60	#11762742	C₂²	1	1	yes	characteristic, complemented
61	#11762741	C₂²	1	1	yes	characteristic, complemented
62	#11762740	C₂²	1	1	yes	characteristic, complemented
63	#11762739	C₂²	1	1	yes	characteristic, complemented
64	#11762739	C₂²	1	1	yes	characteristic, complemented
65	#11762737	C₂²	1	1	yes	characteristic
66	#11762737	C₂²	1	1	yes	characteristic
67	#11762737	C₂²	1	1	yes	characteristic
68	#11762737	C₂²	1	1	yes	characteristic
69	#11762737	C₂²	1	1	yes	characteristic
70	#11762737	C₂²	1	1	yes	characteristic
71	#11762734	C₂²	1	1	yes	characteristic
72	#11762734	C₂²	1	1	yes	characteristic
73	#11762734	C₂²	1	1	yes	characteristic
74	#11762732	C₂²	1	1	yes	characteristic
75	#11762732	C₂²	1	1	yes	characteristic
76	#11762732	C₂²	1	1	yes	characteristic
77	#11762732	C₂²	1	1	yes	characteristic
78	#11762732	C₂²	1	1	yes	characteristic
79	#11762732	C₂²	1	1	yes	characteristic
80	#11762732	C₂²	1	1	yes	characteristic
81	#11762732	C₂²	1	1	yes	characteristic
82	#11762732	C₂²	1	1	yes	characteristic
83	#11762732	C₂²	1	1	yes	characteristic
84	#11762732	C₂²	1	1	yes	characteristic
85	#11762721	C₂²	1	1	yes	characteristic
86	#11762721	C₂²	1	1	yes	characteristic
87	#11762721	C₂²	1	1	yes	characteristic
88	#11762721	C₂²	1	1	yes	characteristic
89	#11762715	C₂²	1	1	yes	characteristic, complemented
90	#11762714	C₂²	1	1	yes	characteristic, complemented
91	#11762713	C₂²	1	1	yes	characteristic, complemented
92	#11762713	C₂²	1	1	yes	characteristic, complemented
93	#11762713	C₂²	1	1	yes	characteristic, complemented
94	#11762713	C₂²	1	1	yes	characteristic, complemented
95	#11762708	C₂²	1	1	yes	characteristic, complemented
96	#11762707	C₂²	1	1	yes	characteristic, complemented
97	#11762707	C₂²	1	1	yes	characteristic, complemented
98	#11762706	C₂²	1	1	yes	characteristic, complemented
99	#11762706	C₂²	1	1	yes	characteristic, complemented
100	#11762706	C₂²	1	1	yes	characteristic, complemented
101	#11762706	C₂²	1	1	yes	characteristic, complemented
102	#11762706	C₂²	1	1	yes	characteristic, complemented
103	#11762706	C₂²	1	1	yes	characteristic, complemented
104	#11762705	C₂²	1	1	yes	characteristic, complemented
105	#11762705	C₂²	1	1	yes	characteristic, complemented
106	#11762705	C₂²	1	1	yes	characteristic, complemented
107	#11762704	C₂²	1	1	yes	characteristic, complemented
108	#11762704	C₂²	1	1	yes	characteristic, complemented
109	#11762703	C₂²	1	1	yes	characteristic
110	#11762703	C₂²	1	1	yes	characteristic
111	#11762703	C₂²	1	1	yes	characteristic
112	#11762703	C₂²	1	1	yes	characteristic
113	#11762703	C₂²	1	1	yes	characteristic
114	#11762703	C₂²	1	1	yes	characteristic
115	#11762703	C₂²	1	1	yes	characteristic
116	#11762703	C₂²	1	1	yes	characteristic
117	#11762703	C₂²	1	1	yes	characteristic
118	#11762703	C₂²	1	1	yes	characteristic
119	#11762703	C₂²	1	1	yes	characteristic
120	#11762702	C₂²	1	1	yes	characteristic
121	#11762702	C₂²	1	1	yes	characteristic
122	#11762702	C₂²	1	1	yes	characteristic
123	#11762697	C₂²	1	1	yes	characteristic
124	#11762697	C₂²	1	1	yes	characteristic
125	#11762697	C₂²	1	1	yes	characteristic
126	#11762696	C₂²	1	1	yes	characteristic, complemented
127	#11762696	C₂²	1	1	yes	characteristic, complemented
128	#11762695	C₂²	1	1	yes	characteristic, complemented
129	#11762695	C₂²	1	1	yes	characteristic, complemented
130	#11762694	C₂²	1	1	yes	characteristic, complemented
131	#11762694	C₂²	1	1	yes	characteristic, complemented
132	#11762693	C₂²	1	1	yes	characteristic, complemented
133	#11762693	C₂²	1	1	yes	characteristic, complemented
134	#11762693	C₂²	1	1	yes	characteristic, complemented
135	#11762693	C₂²	1	1	yes	characteristic, complemented
136	#11762692	C₂²	1	1	yes	characteristic, complemented
137	#11762692	C₂²	1	1	yes	characteristic, complemented
138	#11762691	C₂²	1	1	yes	characteristic, complemented
139	#11762691	C₂²	1	1	yes	characteristic, complemented
140	#11762691	C₂²	1	1	yes	characteristic, complemented
141	#11762691	C₂²	1	1	yes	characteristic, complemented
142	#11762690	C₂²	1	1	yes	characteristic, complemented
143	#11762690	C₂²	1	1	yes	characteristic, complemented
144	#11762690	C₂²	1	1	yes	characteristic, complemented
145	#11762690	C₂²	1	1	yes	characteristic, complemented
146	#11762684	C₂²	1	1	yes	characteristic
147	#11762684	C₂²	1	1	yes	characteristic
148	#11762684	C₂²	1	1	yes	characteristic
149	#11762684	C₂²	1	1	yes	characteristic
150	#11762682	C₂²	1	1	yes	characteristic
151	#11762682	C₂²	1	1	yes	characteristic
152	#11762681	C₂²	1	1	yes	characteristic
153	#11762681	C₂²	1	1	yes	characteristic
154	#11762681	C₂²	1	1	yes	characteristic
155	#11762681	C₂²	1	1	yes	characteristic
156	#11762678	C₂²	1	1	yes	characteristic, complemented
157	#11762675	C₂²	1	1	yes	characteristic, complemented
158	#11762673	C₂²	1	1	yes	characteristic, complemented
159	#11762673	C₂²	1	1	yes	characteristic, complemented
160	#11762669	C₂²	1	1	yes	characteristic
161	#11762667	C₂²	1	1	yes	characteristic
162	#11762667	C₂²	1	1	yes	characteristic
163	#11762667	C₂²	1	1	yes	characteristic
164	#11762667	C₂²	1	1	yes	characteristic
165	#11762665	C₂²	1	1	yes	characteristic
166	#11762665	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
170	C₂×#10587502	C₂²	1	1	yes	characteristic
171	C₂×#10587502	C₂²	1	1	yes	characteristic
172	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
173	C₂²×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
174	C₁₇×#397	C₂²	1	1	yes	characteristic
175	C₁₇×#397	C₂²	1	1	yes	characteristic
176	C₁₇×#397	C₂²	1	1	yes	characteristic
177	C₁₇×#396	C₂²	1	1	yes	characteristic
178	C₁₇×#388	C₂²	1	1	yes	characteristic
179	C₁₇×#388	C₂²	1	1	yes	characteristic
180	C₁₇×#388	C₂²	1	1	yes	characteristic
181	C₁₇×#385	C₂²	1	1	yes	characteristic
182	C₁₇×#385	C₂²	1	1	yes	characteristic
183	C₁₇×#380	C₂²	1	1	yes	characteristic
184	C₁₇×#379	C₂²	1	1	yes	characteristic
185	C₁₇×#379	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
187	C₂⁵×C₁₇	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
194	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
195	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
196	C₁₇×#126	—	4	2	no	—
197	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₇	—	4	2	no	—
204	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₇	—	2	4	no	—
223	C₂×C₂²⋊Dic₁₇	—	4	2	no	—
224	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
256	C₂×#63225	—	4	2	no	—
257	C₂×#63225	C₂³	1	1	yes	characteristic
258	C₂×#63225	C₂³	1	1	yes	characteristic
259	C₂×#63225	C₂³	1	1	yes	characteristic
260	C₂×#63225	C₂³	1	1	yes	characteristic
261	C₂×#63225	C₂³	1	1	yes	characteristic
262	C₂×#63225	C₂³	1	1	yes	characteristic
263	C₂×#63225	C₂³	1	1	yes	characteristic
264	C₂×#63225	C₂³	1	1	yes	characteristic
265	C₂×#63225	C₂³	1	1	yes	characteristic
266	C₂×#63225	C₂³	1	1	yes	characteristic
267	C₂×#63225	C₂³	1	1	yes	characteristic
268	C₂×#63225	C₂³	1	1	yes	characteristic
269	C₂×#63225	C₂³	1	1	yes	characteristic
270	C₂×#63225	C₂³	1	1	yes	characteristic
271	C₂×#63225	C₂³	1	1	yes	characteristic
272	C₂×#63225	C₂³	1	1	yes	characteristic
273	C₂×#63225	C₂³	1	1	yes	characteristic
274	C₂×#63225	C₂³	1	1	yes	characteristic
275	C₂×#63225	C₂³	1	1	yes	characteristic
276	C₂×#63225	C₂³	1	1	yes	characteristic
277	C₂×#63225	C₂³	1	1	yes	characteristic
278	C₂×#63225	C₂³	1	1	yes	characteristic
279	C₂×#63225	C₂³	1	1	yes	characteristic
280	C₂×#63225	C₂³	1	1	yes	characteristic
281	C₂×#63225	C₂³	1	1	yes	characteristic
282	C₂×#63225	C₂³	1	1	yes	characteristic
283	C₂×#63225	C₂³	1	1	yes	characteristic
284	C₂×#63225	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₇	—	4	2	no	—
286	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
296	#10587576	—	4	2	no	—
297	#10587575	—	4	2	no	—
298	#10587575	—	4	2	no	—
299	#10587574	—	4	2	no	—
300	#10587565	—	4	2	no	—
301	#10587565	—	4	2	no	—
302	#10587565	—	4	2	no	—
303	#10587564	—	2	4	no	—
304	#10587564	—	2	4	no	—
305	C₁₇×#95	C₂³	1	1	yes	characteristic
306	C₁₇×#95	C₂³	1	1	yes	characteristic
307	C₁₇×#95	C₂³	1	1	yes	characteristic
308	C₁₇×#95	C₂³	1	1	yes	characteristic
309	C₁₇×#95	C₂³	1	1	yes	characteristic
310	C₁₇×#95	C₂³	1	1	yes	characteristic
311	C₁₇×#95	C₂³	1	1	yes	characteristic
312	C₁₇×#95	C₂³	1	1	yes	characteristic
313	#10587502	C₂³	1	1	yes	characteristic
314	#10587502	C₂³	1	1	yes	characteristic
315	#10587502	C₂³	1	1	yes	characteristic
316	#10587502	C₂³	1	1	yes	characteristic
317	#10587502	C₂³	1	1	yes	characteristic
318	#10587502	C₂³	1	1	yes	characteristic
319	#10587502	C₂³	1	1	yes	characteristic
320	#10587502	C₂³	1	1	yes	characteristic
321	#10587502	C₂³	1	1	yes	characteristic
322	#10587502	C₂³	1	1	yes	characteristic
323	#10587502	C₂³	1	1	yes	characteristic
324	#10587502	C₂³	1	1	yes	characteristic
325	#10587502	C₂³	1	1	yes	characteristic
326	#10587502	C₂³	1	1	yes	characteristic
327	#10587502	C₂³	1	1	yes	characteristic
328	#10587502	C₂³	1	1	yes	characteristic
329	#10587502	C₂³	1	1	yes	characteristic
330	#10587502	C₂³	1	1	yes	characteristic
331	#10587502	C₂³	1	1	yes	characteristic
332	#10587502	C₂³	1	1	yes	characteristic
333	#10587502	C₂³	1	1	yes	characteristic
334	#10587502	C₂³	1	1	yes	characteristic
335	#10587502	C₂³	1	1	yes	characteristic
336	#10587502	C₂³	1	1	yes	characteristic
337	#10587502	C₂³	1	1	yes	characteristic
338	#10587502	C₂³	1	1	yes	characteristic
339	#10587502	C₂³	1	1	yes	characteristic
340	#10587502	C₂³	1	1	yes	characteristic
341	#10587502	C₂³	1	1	yes	characteristic
342	#10587502	C₂³	1	1	yes	characteristic
343	#10587502	C₂³	1	1	yes	characteristic
344	#10587502	C₂³	1	1	yes	characteristic
345	#10587502	C₂³	1	1	yes	characteristic
346	#10587502	C₂³	1	1	yes	characteristic
347	#10587502	C₂³	1	1	yes	characteristic
348	#10587502	C₂³	1	1	yes	characteristic
349	#10587502	C₂³	1	1	yes	characteristic
350	#10587502	C₂³	1	1	yes	characteristic
351	#10587502	C₂³	1	1	yes	characteristic
352	#10587502	C₂³	1	1	yes	characteristic
353	#10587502	C₂³	1	1	yes	characteristic
354	#10587502	C₂³	1	1	yes	characteristic
355	#10587502	C₂³	1	1	yes	characteristic
356	#10587502	C₂³	1	1	yes	characteristic
357	C₂⁴×C₁₇	—	2	2	no	—
358	C₂⁴×C₁₇	—	2	2	no	—
359	C₂⁴×C₁₇	—	2	2	no	—
360	C₂⁴×C₁₇	—	4	1	no	—
361	C₂⁴×C₁₇	—	4	1	no	—
362	C₂⁴×C₁₇	—	4	1	no	—
363	C₂⁴×C₁₇	—	4	1	no	—
364	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₇	—	2	2	no	—
368	C₂²×C₄×C₁₇	—	2	2	no	—
369	C₂²×C₄×C₁₇	—	2	2	no	—
370	C₂²×C₄×C₁₇	—	4	1	no	—
371	C₂²×C₄×C₁₇	—	4	1	no	—
372	C₂²×C₄×C₁₇	—	4	1	no	—
373	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₇	—	2	2	no	—
386	C₂²×Dic₁₇	—	2	2	no	—
387	C₂²×Dic₁₇	—	2	2	no	—
388	C₂²×Dic₁₇	—	2	2	no	—
389	C₂²×Dic₁₇	—	4	1	no	—
390	C₂²×Dic₁₇	—	4	1	no	—
391	C₂²×Dic₁₇	—	4	1	no	—
392	C₂²×Dic₁₇	—	4	1	no	—
393	C₂²×Dic₁₇	—	4	1	no	—
394	C₂²×Dic₁₇	—	4	1	no	—
395	C₂²×Dic₁₇	—	4	1	no	—
396	C₂²×Dic₁₇	#41	1	4	yes	—
397	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
413	C₂×Dic₃₄	—	2	2	no	—
414	C₂×Dic₃₄	—	2	2	no	—
415	C₂×Dic₃₄	—	4	1	no	—
416	C₂×Dic₃₄	—	4	1	no	—
417	C₂×Dic₃₄	—	4	1	no	—
418	C₂×Dic₃₄	—	4	1	no	—
419	C₄⋊C₄×C₁₇	—	2	2	no	—
420	C₄⋊C₄×C₁₇	—	2	2	no	—
421	C₄⋊C₄×C₁₇	—	4	1	no	—
422	C₄⋊C₄×C₁₇	—	4	1	no	—
423	C₄⋊C₄×C₁₇	—	4	1	no	—
424	C₄⋊C₄×C₁₇	—	4	1	no	—
425	C₂²⋊C₄×C₁₇	—	2	2	no	—
426	C₂²⋊C₄×C₁₇	—	2	2	no	—
427	C₂²⋊C₄×C₁₇	—	2	2	no	—
428	C₂²⋊C₄×C₁₇	—	2	2	no	—
429	C₂²⋊C₄×C₁₇	—	2	2	no	—
430	C₂²⋊C₄×C₁₇	—	2	2	no	—
431	C₂²⋊C₄×C₁₇	—	4	1	no	—
432	C₂²⋊C₄×C₁₇	—	4	1	no	—
433	C₂²⋊C₄×C₁₇	—	4	1	no	—
434	C₂²⋊C₄×C₁₇	—	4	1	no	—
435	C₂²⋊C₄×C₁₇	—	4	1	no	—
436	C₂²⋊C₄×C₁₇	—	4	1	no	—
437	C₂²⋊C₄×C₁₇	—	4	1	no	—
438	C₂²⋊C₄×C₁₇	—	4	1	no	—
439	C₂²⋊C₄×C₁₇	—	4	1	no	—
440	C₂²⋊C₄×C₁₇	—	4	1	no	—
441	C₄²×C₁₇	—	4	1	no	—
442	C₄²×C₁₇	—	4	1	no	—
443	C₂²⋊Dic₁₇	—	2	2	no	—
444	C₂²⋊Dic₁₇	—	2	2	no	—
445	C₂²⋊Dic₁₇	—	2	2	no	—
446	C₂²⋊Dic₁₇	—	2	2	no	—
447	C₂²⋊Dic₁₇	—	2	2	no	—
448	C₂²⋊Dic₁₇	—	2	2	no	—
449	C₂²⋊Dic₁₇	—	2	2	no	—
450	C₂²⋊Dic₁₇	—	2	2	no	—
451	C₂²⋊Dic₁₇	—	2	2	no	—
452	C₂²⋊Dic₁₇	—	2	2	no	—
453	C₂²⋊Dic₁₇	—	4	1	no	—
454	C₂²⋊Dic₁₇	—	4	1	no	—
455	C₂²⋊Dic₁₇	—	4	1	no	—
456	C₂²⋊Dic₁₇	—	4	1	no	—
457	C₂²⋊Dic₁₇	—	4	1	no	—
458	C₂²⋊Dic₁₇	—	4	1	no	—
459	C₂²⋊Dic₁₇	—	4	1	no	—
460	C₂²⋊Dic₁₇	—	4	1	no	—
461	C₂²⋊Dic₁₇	—	4	1	no	—
462	C₂²⋊Dic₁₇	—	4	1	no	—
463	C₄⋊Dic₁₇	—	2	2	no	—
464	C₄⋊Dic₁₇	—	2	2	no	—
465	C₄⋊Dic₁₇	—	2	2	no	—
466	C₄⋊Dic₁₇	—	2	2	no	—
467	C₄⋊Dic₁₇	—	4	1	no	—
468	C₄⋊Dic₁₇	—	4	1	no	—
469	C₄⋊Dic₁₇	—	4	1	no	—
470	C₄⋊Dic₁₇	—	4	1	no	—
471	C₄⋊Dic₁₇	—	4	1	no	—
472	C₄⋊Dic₁₇	—	4	1	no	—
473	C₄⋊Dic₁₇	—	4	1	no	—
474	C₄⋊Dic₁₇	—	4	1	no	—
475	#63225	—	2	2	no	—
476	#63225	—	2	2	no	—
477	#63225	—	2	2	no	—
478	#63225	—	2	2	no	—
479	#63225	—	2	2	no	—
480	#63225	—	2	2	no	—
481	#63225	—	2	2	no	—
482	#63225	—	2	2	no	—
483	#63225	—	2	2	no	—
484	#63225	—	2	2	no	—
485	#63225	—	4	1	no	—
486	#63225	—	4	1	no	—
487	#63225	—	4	1	no	—
488	#63225	—	4	1	no	—
489	#63225	—	4	1	no	—
490	#63225	—	4	1	no	—
491	#63225	—	4	1	no	—
492	#63225	—	4	1	no	—
493	#63225	—	4	1	no	—
494	#63225	—	4	1	no	—
495	#63225	—	4	1	no	—
496	#63225	—	4	1	no	—
497	#63225	—	4	1	no	—
498	#63225	—	4	1	no	—
499	#63225	—	4	1	no	—
500	#63225	—	4	1	no	—
501	#63225	—	4	1	no	—
502	#63225	—	4	1	no	—
503	C₄×Dic₁₇	—	2	2	no	—
504	C₄×Dic₁₇	—	2	2	no	—
505	C₄×Dic₁₇	—	4	1	no	—
506	C₄×Dic₁₇	—	4	1	no	—
507	C₄×Dic₁₇	—	4	1	no	—
508	C₄×Dic₁₇	—	4	1	no	—
509	C₄×Dic₁₇	—	4	1	no	—
510	C₄×Dic₁₇	—	4	1	no	—
511	C₄×Dic₁₇	—	4	1	no	—
512	C₄×Dic₁₇	—	4	1	no	—
513	#36760	—	17	1	no	maximal, Sylow
514	C₂³×C₁₇	—	2	1	no	—
515	C₂³×C₁₇	—	2	1	no	—
516	C₂³×C₁₇	—	2	1	no	—
517	C₂³×C₁₇	—	2	1	no	—
518	C₂³×C₁₇	—	2	1	no	—
519	C₂³×C₁₇	—	2	1	no	—
520	C₂³×C₁₇	—	2	1	no	—
521	C₂³×C₁₇	—	2	1	no	—
522	C₂³×C₁₇	—	2	1	no	—
523	C₂³×C₁₇	—	2	1	no	—
524	C₂³×C₁₇	—	2	1	no	—
525	C₂³×C₁₇	—	2	1	no	—
526	C₂³×C₁₇	—	2	1	no	—
527	C₂³×C₁₇	—	2	1	no	—
528	C₂³×C₁₇	—	2	1	no	—
529	C₂³×C₁₇	—	2	1	no	—
530	C₂³×C₁₇	—	2	1	no	—
531	C₂³×C₁₇	—	2	1	no	—
532	C₂³×C₁₇	—	4	4	no	—
533	C₂³×C₁₇	—	4	4	no	—
534	C₂³×C₁₇	—	4	4	no	—
535	C₂³×C₁₇	—	8	2	no	—
536	C₂³×C₁₇	—	8	2	no	—
537	C₂³×C₁₇	—	8	2	no	—
538	C₂³×C₁₇	—	8	2	no	—
539	C₂³×C₁₇	C₂×#41	1	2	yes	—
540	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
541	C₂³×C₁₇	2₋¹⁺⁴	1	2	yes	—
542	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
543	C₂×C₄×C₁₇	—	2	1	no	—
544	C₂×C₄×C₁₇	—	2	1	no	—
545	C₂×C₄×C₁₇	—	2	1	no	—
546	C₂×C₄×C₁₇	—	2	1	no	—
547	C₂×C₄×C₁₇	—	2	1	no	—
548	C₂×C₄×C₁₇	—	2	1	no	—
549	C₂×C₄×C₁₇	—	2	1	no	—
550	C₂×C₄×C₁₇	—	2	1	no	—
551	C₂×C₄×C₁₇	—	2	1	no	—
552	C₂×C₄×C₁₇	—	2	1	no	—
553	C₂×C₄×C₁₇	—	2	1	no	—
554	C₂×C₄×C₁₇	—	2	1	no	—
555	C₂×C₄×C₁₇	—	2	1	no	—
556	C₂×C₄×C₁₇	—	2	1	no	—
557	C₂×C₄×C₁₇	—	2	1	no	—
558	C₂×C₄×C₁₇	—	2	1	no	—
559	C₂×C₄×C₁₇	—	2	1	no	—
560	C₂×C₄×C₁₇	—	2	1	no	—
561	C₂×C₄×C₁₇	—	2	1	no	—
562	C₂×C₄×C₁₇	—	2	1	no	—
563	C₂×C₄×C₁₇	—	2	1	no	—
564	C₂×C₄×C₁₇	—	2	1	no	—
565	C₂×C₄×C₁₇	—	2	1	no	—
566	C₂×C₄×C₁₇	—	2	1	no	—
567	C₂×C₄×C₁₇	—	2	1	no	—
568	C₂×C₄×C₁₇	—	2	1	no	—
569	C₂×C₄×C₁₇	—	2	1	no	—
570	C₂×C₄×C₁₇	—	2	1	no	—
571	C₂×C₄×C₁₇	—	2	1	no	—
572	C₂×C₄×C₁₇	—	2	1	no	—
573	C₂×C₄×C₁₇	—	2	1	no	—
574	C₂×C₄×C₁₇	—	2	1	no	—
575	C₂×C₄×C₁₇	—	2	1	no	—
576	C₂×C₄×C₁₇	—	2	1	no	—
577	C₂×C₄×C₁₇	—	2	1	no	—
578	C₂×C₄×C₁₇	—	4	4	no	—
579	C₂×C₄×C₁₇	—	8	2	no	—
580	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
581	C₂×Dic₁₇	—	2	1	no	—
582	C₂×Dic₁₇	—	2	1	no	—
583	C₂×Dic₁₇	—	2	1	no	—
584	C₂×Dic₁₇	—	2	1	no	—
585	C₂×Dic₁₇	—	2	1	no	—
586	C₂×Dic₁₇	—	2	1	no	—
587	C₂×Dic₁₇	—	2	1	no	—
588	C₂×Dic₁₇	—	2	1	no	—
589	C₂×Dic₁₇	—	2	1	no	—
590	C₂×Dic₁₇	—	2	1	no	—
591	C₂×Dic₁₇	—	2	1	no	—
592	C₂×Dic₁₇	—	2	1	no	—
593	C₂×Dic₁₇	—	2	1	no	—
594	C₂×Dic₁₇	—	2	1	no	—
595	C₂×Dic₁₇	—	2	1	no	—
596	C₂×Dic₁₇	—	2	1	no	—
597	C₂×Dic₁₇	—	2	1	no	—
598	C₂×Dic₁₇	—	2	1	no	—
599	C₂×Dic₁₇	—	2	1	no	—
600	C₂×Dic₁₇	—	2	1	no	—
601	C₂×Dic₁₇	—	2	1	no	—
602	C₂×Dic₁₇	—	2	1	no	—
603	C₂×Dic₁₇	—	2	1	no	—
604	C₂×Dic₁₇	—	2	1	no	—
605	C₂×Dic₁₇	—	2	1	no	—
606	C₂×Dic₁₇	—	2	1	no	—
607	C₂×Dic₁₇	—	2	1	no	—
608	C₂×Dic₁₇	—	2	1	no	—
609	C₂×Dic₁₇	—	2	1	no	—
610	C₂×Dic₁₇	—	2	1	no	—
611	C₂×Dic₁₇	—	2	1	no	—
612	C₂×Dic₁₇	—	2	1	no	—
613	C₂×Dic₁₇	—	2	1	no	—
614	C₂×Dic₁₇	—	2	1	no	—
615	C₂×Dic₁₇	—	2	1	no	—
616	C₂×Dic₁₇	—	2	1	no	—
617	C₂×Dic₁₇	—	2	1	no	—
618	C₂×Dic₁₇	—	2	1	no	—
619	C₂×Dic₁₇	—	2	1	no	—
620	C₂×Dic₁₇	—	2	1	no	—
621	C₂×Dic₁₇	—	2	1	no	—
622	C₂×Dic₁₇	—	2	1	no	—
623	C₂×Dic₁₇	—	2	1	no	—
624	C₂×Dic₁₇	—	2	1	no	—
625	C₂×Dic₁₇	—	2	1	no	—
626	C₂×Dic₁₇	—	4	4	no	—
627	C₂×Dic₁₇	—	4	4	no	—
628	C₂×Dic₁₇	—	4	4	no	—
629	C₂×Dic₁₇	—	8	2	no	—
630	C₂×Dic₁₇	C₂×#41	1	2	yes	—
631	C₂×Dic₁₇	C₂×#41	1	2	yes	—
632	C₂×Dic₁₇	H(5,𝔽₂)	1	2	yes	—
633	Dic₃₄	—	8	2	no	—
634	Dic₃₄	—	8	2	no	—
635	#2857	—	17	1	no	—
636	#2851	—	17	1	no	—
637	#2798	—	17	1	no	—
638	#2798	—	17	1	no	—
639	#2783	—	17	1	no	—
640	#2783	—	17	1	no	—
641	#2772	—	17	1	no	—
642	#2772	—	17	1	no	—
643	#2754	—	17	1	no	—
644	#2754	—	17	1	no	—
645	#2725	—	17	1	no	—
646	#2725	—	17	1	no	—
647	#2725	—	17	1	no	—
648	#2725	—	17	1	no	—
649	#2721	—	17	1	no	—
650	#2721	—	17	1	no	—
651	#2716	—	17	1	no	—
652	#2716	—	17	1	no	—
653	#2626	—	17	1	no	—
654	#2626	—	17	1	no	—
655	#2505	—	17	1	no	—
656	#2505	—	17	1	no	—
657	#2480	—	17	1	no	—
658	#2480	—	17	1	no	—
659	#2480	—	17	1	no	—
660	#2480	D₁₇	1	1	yes	characteristic
661	#2473	—	17	1	no	—
662	#2473	—	17	1	no	—
663	#2329	—	17	1	no	—
664	#2329	—	17	1	no	—
665	C₂×#388	—	17	1	no	—
666	C₂²×C₁₇	—	2	2	no	—
667	C₂²×C₁₇	—	2	2	no	—
668	C₂²×C₁₇	—	2	2	no	—
669	C₂²×C₁₇	—	2	2	no	—
670	C₂²×C₁₇	—	2	2	no	—
671	C₂²×C₁₇	—	2	2	no	—
672	C₂²×C₁₇	—	4	1	no	—
673	C₂²×C₁₇	—	4	1	no	—
674	C₂²×C₁₇	—	4	1	no	—
675	C₂²×C₁₇	—	4	1	no	—
676	C₂²×C₁₇	—	4	1	no	—
677	C₂²×C₁₇	—	4	1	no	—
678	C₂²×C₁₇	—	4	1	no	—
679	C₂²×C₁₇	—	4	1	no	—
680	C₂²×C₁₇	—	4	1	no	—
681	C₂²×C₁₇	—	4	1	no	—
682	C₂²×C₁₇	—	4	1	no	—
683	C₂²×C₁₇	—	4	1	no	—
684	C₂²×C₁₇	—	4	1	no	—
685	C₂²×C₁₇	—	4	1	no	—
686	C₂²×C₁₇	—	8	8	no	—
687	C₂²×C₁₇	#541	1	4	yes	—
688	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
689	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
693	C₂²×C₁₇	#585	1	1	yes	characteristic
694	C₂²×C₁₇	#585	1	1	yes	characteristic
695	C₄×C₁₇	—	2	2	no	—
696	C₄×C₁₇	—	4	1	no	—
697	C₄×C₁₇	—	4	1	no	—
698	C₄×C₁₇	—	4	1	no	—
699	C₄×C₁₇	—	4	1	no	—
700	C₄×C₁₇	—	4	1	no	—
701	C₄×C₁₇	—	4	1	no	—
702	C₄×C₁₇	—	4	1	no	—
703	C₄×C₁₇	—	4	1	no	—
704	C₄×C₁₇	—	4	1	no	—
705	C₄×C₁₇	—	4	1	no	—
706	C₄×C₁₇	—	4	1	no	—
707	Dic₁₇	—	2	2	no	—
708	Dic₁₇	—	2	2	no	—
709	Dic₁₇	—	2	2	no	—
710	Dic₁₇	—	4	1	no	—
711	Dic₁₇	—	4	1	no	—
712	Dic₁₇	—	4	1	no	—
713	Dic₁₇	—	4	1	no	—
714	Dic₁₇	—	4	1	no	—
715	Dic₁₇	—	4	1	no	—
716	Dic₁₇	—	4	1	no	—
717	Dic₁₇	—	4	1	no	—
718	Dic₁₇	—	4	1	no	—
719	Dic₁₇	—	4	1	no	—
720	Dic₁₇	—	4	1	no	—
721	Dic₁₇	—	4	1	no	—
722	Dic₁₇	—	4	1	no	—
723	C₂×C₄⋊Q₈	—	17	1	no	—
724	C₂×#126	—	17	1	no	—
725	C₂×#126	—	17	1	no	—
726	C₂×#126	—	17	1	no	—
727	C₂×#126	C₂×D₁₇	1	1	yes	characteristic
728	C₂×#125	—	17	1	no	—
729	C₂×#125	—	17	1	no	—
730	C₂×#125	—	17	1	no	—
731	C₂×C₂²⋊Q₈	—	17	1	no	—
732	C₂×C₂²⋊Q₈	—	17	1	no	—
733	C₂²×C₄⋊C₄	—	17	1	no	—
734	C₂²×C₂²⋊C₄	—	17	1	no	—
735	C₂²×C₂²⋊C₄	—	17	1	no	—
736	C₂²×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
737	C₂²×C₄²	—	17	1	no	—
738	#400	—	17	1	no	—
739	#400	—	17	1	no	—
740	#400	—	17	1	no	—
741	#400	—	17	1	no	—
742	#400	—	17	1	no	—
743	#400	—	17	1	no	—
744	#400	—	17	1	no	—
745	#400	—	17	1	no	—
746	#399	—	17	1	no	—
747	#399	—	17	1	no	—
748	#399	—	17	1	no	—
749	#399	—	17	1	no	—
750	#398	—	17	1	no	—
751	#398	—	17	1	no	—
752	#398	—	17	1	no	—
753	#398	—	17	1	no	—
754	#398	—	17	1	no	—
755	#398	—	17	1	no	—
756	#398	—	17	1	no	—
757	#398	—	17	1	no	—
758	#397	—	17	1	no	—
759	#397	—	17	1	no	—
760	#397	—	17	1	no	—
761	#397	—	17	1	no	—
762	#397	—	17	1	no	—
763	#397	—	17	1	no	—
764	#397	—	17	1	no	—
765	#397	—	17	1	no	—
766	#397	—	17	1	no	—
767	#397	C₂×D₁₇	1	1	yes	characteristic
768	#397	C₂×D₁₇	1	1	yes	characteristic
769	#397	C₂×D₁₇	1	1	yes	characteristic
770	#396	—	17	1	no	—
771	#396	—	17	1	no	—
772	#396	—	17	1	no	—
773	#396	—	17	1	no	—
774	#396	—	17	1	no	—
775	#396	—	17	1	no	—
776	#396	—	17	1	no	—
777	#396	—	17	1	no	—
778	#396	—	17	1	no	—
779	#396	—	17	1	no	—
780	#396	—	17	1	no	—
781	#396	C₂×D₁₇	1	1	yes	characteristic
782	#393	—	17	1	no	—
783	#393	—	17	1	no	—
784	#393	—	17	1	no	—
785	#393	—	17	1	no	—
786	#391	—	17	1	no	—
787	#391	—	17	1	no	—
788	#391	—	17	1	no	—
789	#391	—	17	1	no	—
790	#391	—	17	1	no	—
791	#391	—	17	1	no	—
792	#389	—	17	1	no	—
793	#389	—	17	1	no	—
794	#389	—	17	1	no	—
795	#389	—	17	1	no	—
796	#389	—	17	1	no	—
797	#389	—	17	1	no	—
798	#389	—	17	1	no	—
799	#389	—	17	1	no	—
800	#389	—	17	1	no	—
801	#389	—	17	1	no	—
802	#389	—	17	1	no	—
803	#389	—	17	1	no	—
804	#389	—	17	1	no	—
805	#389	—	17	1	no	—
806	#388	—	17	1	no	—
807	#388	—	17	1	no	—
808	#388	—	17	1	no	—
809	#388	—	17	1	no	—
810	#388	—	17	1	no	—
811	#388	—	17	1	no	—
812	#388	—	17	1	no	—
813	#388	—	17	1	no	—
814	#388	—	17	1	no	—
815	#388	—	17	1	no	—
816	#388	—	17	1	no	—
817	#388	—	17	1	no	—
818	#388	—	17	1	no	—
819	#388	—	17	1	no	—
820	#388	—	17	1	no	—
821	#388	—	17	1	no	—
822	#388	—	17	1	no	—
823	#388	C₂×D₁₇	1	1	yes	characteristic
824	#388	C₂×D₁₇	1	1	yes	characteristic
825	#388	C₂×D₁₇	1	1	yes	characteristic
826	#387	—	17	1	no	—
827	#387	—	17	1	no	—
828	#387	—	17	1	no	—
829	#387	—	17	1	no	—
830	#387	—	17	1	no	—
831	#387	—	17	1	no	—
832	#387	—	17	1	no	—
833	#387	—	17	1	no	—
834	#387	—	17	1	no	—
835	#387	—	17	1	no	—
836	#387	—	17	1	no	—
837	#387	—	17	1	no	—
838	#387	—	17	1	no	—
839	#387	—	17	1	no	—
840	#387	—	17	1	no	—
841	#387	—	17	1	no	—
842	#387	—	17	1	no	—
843	#387	—	17	1	no	—
844	#387	—	17	1	no	—
845	#387	—	17	1	no	—
846	#385	—	17	1	no	—
847	#385	—	17	1	no	—
848	#385	—	17	1	no	—
849	#385	—	17	1	no	—
850	#385	—	17	1	no	—
851	#385	—	17	1	no	—
852	#385	—	17	1	no	—
853	#385	—	17	1	no	—
854	#385	—	17	1	no	—
855	#385	—	17	1	no	—
856	#385	C₂×D₁₇	1	1	yes	characteristic
857	#385	C₂×D₁₇	1	1	yes	characteristic
858	#384	—	17	1	no	—
859	#382	—	17	1	no	—
860	#382	—	17	1	no	—
861	#382	—	17	1	no	—
862	#380	—	17	1	no	—
863	#380	—	17	1	no	—
864	#380	—	17	1	no	—
865	#380	—	17	1	no	—
866	#380	—	17	1	no	—
867	#380	C₂×D₁₇	1	1	yes	characteristic
868	#379	—	17	1	no	—
869	#379	—	17	1	no	—
870	#379	C₂×D₁₇	1	1	yes	characteristic
871	#379	C₂×D₁₇	1	1	yes	characteristic
872	C₄×C₂²⋊C₄	—	17	1	no	—
873	C₄×C₂²⋊C₄	—	17	1	no	—
874	C₄×C₂²⋊C₄	—	17	1	no	—
875	C₄×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
876	C₂×#95	—	17	1	no	—
877	C₂×#95	—	17	1	no	—
878	C₂×C₁₇	—	2	4	no	—
879	C₂×C₁₇	—	8	1	no	—
880	C₂×C₁₇	—	8	1	no	—
881	C₂×C₁₇	C₂×#541	1	1	yes	characteristic
882	C₂×C₁₇	#3505	1	1	yes	characteristic
883	C₂×C₁₇	#3506	1	1	yes	characteristic
884	C₂×C₁₇	#3535	1	1	yes	characteristic
885	C₂×C₁₇	#3536	1	1	yes	characteristic
886	C₂×C₁₇	#3561	1	1	yes	characteristic
887	C₂×C₁₇	#3564	1	1	yes	characteristic
888	C₂⁵	C₂²×D₁₇	1	1	yes	characteristic
889	C₂²×Q₈	—	17	1	no	—
890	C₂²×Q₈	—	17	1	no	—
891	C₂³×C₄	—	17	1	no	—
892	C₂³×C₄	—	17	1	no	—
893	C₂³×C₄	—	17	1	no	—
894	C₂³×C₄	—	17	1	no	—
895	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
896	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
897	C₄⋊Q₈	—	68	2	no	—
898	#126	—	4	2	no	—
899	#126	—	68	2	no	—
900	#126	—	68	2	no	—
901	#126	—	68	2	no	—
902	#125	—	68	2	no	—
903	#125	—	68	2	no	—
904	#125	—	68	2	no	—
905	C₂²⋊Q₈	—	34	4	no	—
906	C₂²⋊Q₈	—	34	4	no	—
907	C₂×C₄⋊C₄	—	17	1	no	—
908	C₂×C₄⋊C₄	—	17	1	no	—
909	C₂×C₄⋊C₄	—	17	1	no	—
910	C₂×C₄⋊C₄	—	17	1	no	—
911	C₂×C₄⋊C₄	—	17	1	no	—
912	C₂×C₄⋊C₄	—	17	1	no	—
913	C₂×C₄⋊C₄	—	17	1	no	—
914	C₂×C₄⋊C₄	—	17	1	no	—
915	C₂×C₄⋊C₄	—	17	1	no	—
916	C₂×C₄⋊C₄	—	17	1	no	—
917	C₂×C₄⋊C₄	—	17	1	no	—
918	C₂×C₄⋊C₄	—	17	1	no	—
919	C₂×C₄⋊C₄	—	17	1	no	—
920	C₂×C₄⋊C₄	—	17	1	no	—
921	C₂×C₄⋊C₄	—	17	1	no	—
922	C₂×C₄⋊C₄	—	17	1	no	—
923	C₂×C₄⋊C₄	—	17	1	no	—
924	C₂×C₄⋊C₄	—	17	1	no	—
925	C₂×C₄⋊C₄	—	17	1	no	—
926	C₂×C₄⋊C₄	—	17	1	no	—
927	C₂×C₄⋊C₄	—	17	1	no	—
928	C₂×C₄⋊C₄	—	17	1	no	—
929	C₂×C₄⋊C₄	—	17	1	no	—
930	C₂×C₄⋊C₄	—	17	1	no	—
931	C₂×C₄⋊C₄	—	17	1	no	—
932	C₂×C₄⋊C₄	—	17	1	no	—
933	C₂×C₄⋊C₄	—	17	1	no	—
934	C₂×C₄⋊C₄	—	17	1	no	—
935	C₂×C₄⋊C₄	—	17	1	no	—
936	C₂×C₄⋊C₄	—	17	1	no	—
937	C₂×C₄⋊C₄	—	17	1	no	—
938	C₂×C₄⋊C₄	—	17	1	no	—
939	C₂×C₄⋊C₄	—	17	1	no	—
940	C₂×C₄⋊C₄	—	17	1	no	—
941	C₂×C₄⋊C₄	—	17	1	no	—
942	C₂×C₄⋊C₄	—	17	1	no	—
943	C₂×C₄⋊C₄	—	17	1	no	—
944	C₂×C₄⋊C₄	—	17	1	no	—
945	C₂×C₄⋊C₄	—	17	1	no	—
946	C₂×C₄⋊C₄	—	17	1	no	—
947	C₂×C₄⋊C₄	—	68	2	no	—
948	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	—	4	2	no	—
955	C₂×C₂²⋊C₄	—	17	1	no	—
956	C₂×C₂²⋊C₄	—	17	1	no	—
957	C₂×C₂²⋊C₄	—	17	1	no	—
958	C₂×C₂²⋊C₄	—	17	1	no	—
959	C₂×C₂²⋊C₄	—	17	1	no	—
960	C₂×C₂²⋊C₄	—	17	1	no	—
961	C₂×C₂²⋊C₄	—	17	1	no	—
962	C₂×C₂²⋊C₄	—	17	1	no	—
963	C₂×C₂²⋊C₄	—	17	1	no	—
964	C₂×C₂²⋊C₄	—	17	1	no	—
965	C₂×C₂²⋊C₄	—	17	1	no	—
966	C₂×C₂²⋊C₄	—	17	1	no	—
967	C₂×C₂²⋊C₄	—	17	1	no	—
968	C₂×C₂²⋊C₄	—	17	1	no	—
969	C₂×C₂²⋊C₄	—	17	1	no	—
970	C₂×C₂²⋊C₄	—	17	1	no	—
971	C₂×C₂²⋊C₄	—	17	1	no	—
972	C₂×C₂²⋊C₄	—	17	1	no	—
973	C₂×C₂²⋊C₄	—	17	1	no	—
974	C₂×C₂²⋊C₄	—	17	1	no	—
975	C₂×C₂²⋊C₄	—	34	4	no	—
976	C₂×C₂²⋊C₄	—	68	2	no	—
977	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
993	C₂×C₄²	—	17	1	no	—
994	C₂×C₄²	—	17	1	no	—
995	C₂×C₄²	—	17	1	no	—
996	C₂×C₄²	—	17	1	no	—
997	C₂×C₄²	—	17	1	no	—
998	C₂×C₄²	—	17	1	no	—
999	C₂×C₄²	—	17	1	no	—
1000	C₂×C₄²	—	17	1	no	—
1001	C₂×C₄²	—	17	1	no	—
1002	C₂×C₄²	—	17	1	no	—
1003	C₂×C₄²	—	68	2	no	—
1004	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1006	#95	—	17	1	no	—
1007	#95	—	17	1	no	—
1008	#95	—	17	1	no	—
1009	#95	—	17	1	no	—
1010	#95	—	17	1	no	—
1011	#95	—	17	1	no	—
1012	#95	—	17	1	no	—
1013	#95	—	17	1	no	—
1014	#95	—	17	1	no	—
1015	#95	—	17	1	no	—
1016	#95	—	17	1	no	—
1017	#95	—	17	1	no	—
1018	#95	—	17	1	no	—
1019	#95	—	17	1	no	—
1020	#95	—	17	1	no	—
1021	#95	—	17	1	no	—
1022	#95	—	17	1	no	—
1023	#95	—	17	1	no	—
1024	#95	—	17	1	no	—
1025	#95	—	17	1	no	—
1026	#95	—	17	1	no	—
1027	#95	—	17	1	no	—
1028	#95	—	17	1	no	—
1029	#95	—	17	1	no	—
1030	#95	—	17	1	no	—
1031	#95	—	17	1	no	—
1032	#95	—	17	1	no	—
1033	#95	—	17	1	no	—
1034	#95	—	17	1	no	—
1035	#95	—	17	1	no	—
1036	#95	—	17	1	no	—
1037	#95	—	17	1	no	—
1038	#95	—	17	1	no	—
1039	#95	—	17	1	no	—
1040	#95	—	17	1	no	—
1041	#95	—	17	1	no	—
1042	#95	—	17	1	no	—
1043	#95	—	17	1	no	—
1044	#95	—	17	1	no	—
1045	#95	—	17	1	no	—
1046	#95	—	17	1	no	—
1047	#95	—	17	1	no	—
1048	#95	—	17	1	no	—
1049	#95	—	17	1	no	—
1050	#95	C₂²×D₁₇	1	1	yes	characteristic
1051	#95	C₂²×D₁₇	1	1	yes	characteristic
1052	#95	C₂²×D₁₇	1	1	yes	characteristic
1053	#95	C₂²×D₁₇	1	1	yes	characteristic
1054	#95	C₂²×D₁₇	1	1	yes	characteristic
1055	#95	C₂²×D₁₇	1	1	yes	characteristic
1056	#95	C₂²×D₁₇	1	1	yes	characteristic
1057	#95	C₂²×D₁₇	1	1	yes	characteristic
1058	C₁₇	#36760	1	1	yes	characteristic, complemented, Sylow
1059	C₂⁴	—	2	2	no	—
1060	C₂⁴	—	2	2	no	—
1061	C₂⁴	—	2	2	no	—
1062	C₂⁴	—	4	1	no	—
1063	C₂⁴	—	4	1	no	—
1064	C₂⁴	—	4	1	no	—
1065	C₂⁴	—	4	1	no	—
1066	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1067	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1068	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1069	C₂×Q₈	—	34	2	no	—
1070	C₂×Q₈	—	34	2	no	—
1071	C₂×Q₈	—	68	1	no	—
1072	C₂×Q₈	—	68	1	no	—
1073	C₂×Q₈	—	68	1	no	—
1074	C₂×Q₈	—	68	1	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	17	1	no	—
1082	C₂²×C₄	—	17	1	no	—
1083	C₂²×C₄	—	17	1	no	—
1084	C₂²×C₄	—	17	4	no	—
1085	C₂²×C₄	—	17	1	no	—
1086	C₂²×C₄	—	17	1	no	—
1087	C₂²×C₄	—	17	1	no	—
1088	C₂²×C₄	—	17	1	no	—
1089	C₂²×C₄	—	17	1	no	—
1090	C₂²×C₄	—	17	1	no	—
1091	C₂²×C₄	—	17	1	no	—
1092	C₂²×C₄	—	17	1	no	—
1093	C₂²×C₄	—	17	1	no	—
1094	C₂²×C₄	—	17	1	no	—
1095	C₂²×C₄	—	17	1	no	—
1096	C₂²×C₄	—	17	1	no	—
1097	C₂²×C₄	—	17	1	no	—
1098	C₂²×C₄	—	34	2	no	—
1099	C₂²×C₄	—	34	2	no	—
1100	C₂²×C₄	—	34	2	no	—
1101	C₂²×C₄	—	34	2	no	—
1102	C₂²×C₄	—	68	1	no	—
1103	C₂²×C₄	—	68	1	no	—
1104	C₂²×C₄	—	68	1	no	—
1105	C₂²×C₄	—	68	1	no	—
1106	C₂²×C₄	—	68	1	no	—
1107	C₂²×C₄	—	68	1	no	—
1108	C₂²×C₄	—	68	1	no	—
1109	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	34	2	no	—
1128	C₄⋊C₄	—	34	2	no	—
1129	C₄⋊C₄	—	34	2	no	—
1130	C₄⋊C₄	—	34	2	no	—
1131	C₄⋊C₄	—	34	2	no	—
1132	C₄⋊C₄	—	34	2	no	—
1133	C₄⋊C₄	—	34	2	no	—
1134	C₄⋊C₄	—	34	2	no	—
1135	C₄⋊C₄	—	34	2	no	—
1136	C₄⋊C₄	—	34	2	no	—
1137	C₄⋊C₄	—	34	2	no	—
1138	C₄⋊C₄	—	34	2	no	—
1139	C₄⋊C₄	—	34	2	no	—
1140	C₄⋊C₄	—	34	2	no	—
1141	C₄⋊C₄	—	68	1	no	—
1142	C₄⋊C₄	—	68	1	no	—
1143	C₄⋊C₄	—	68	1	no	—
1144	C₄⋊C₄	—	68	1	no	—
1145	C₄⋊C₄	—	68	1	no	—
1146	C₄⋊C₄	—	68	1	no	—
1147	C₄⋊C₄	—	68	1	no	—
1148	C₄⋊C₄	—	68	1	no	—
1149	C₄⋊C₄	—	68	1	no	—
1150	C₄⋊C₄	—	68	1	no	—
1151	C₄⋊C₄	—	68	1	no	—
1152	C₄⋊C₄	—	68	1	no	—
1153	C₄⋊C₄	—	68	1	no	—
1154	C₄⋊C₄	—	68	1	no	—
1155	C₄⋊C₄	—	68	1	no	—
1156	C₄⋊C₄	—	68	1	no	—
1157	C₄⋊C₄	—	68	1	no	—
1158	C₄⋊C₄	—	68	1	no	—
1159	C₄⋊C₄	—	68	1	no	—
1160	C₄⋊C₄	—	68	1	no	—
1161	C₄⋊C₄	—	68	1	no	—
1162	C₄⋊C₄	—	68	1	no	—
1163	C₄⋊C₄	—	68	1	no	—
1164	C₄⋊C₄	—	68	1	no	—
1165	C₄⋊C₄	—	68	1	no	—
1166	C₄⋊C₄	—	68	1	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	34	2	no	—
1184	C₂²⋊C₄	—	34	2	no	—
1185	C₂²⋊C₄	—	34	2	no	—
1186	C₂²⋊C₄	—	34	2	no	—
1187	C₂²⋊C₄	—	34	2	no	—
1188	C₂²⋊C₄	—	34	2	no	—
1189	C₂²⋊C₄	—	34	2	no	—
1190	C₂²⋊C₄	—	34	2	no	—
1191	C₂²⋊C₄	—	34	2	no	—
1192	C₂²⋊C₄	—	34	2	no	—
1193	C₂²⋊C₄	—	68	1	no	—
1194	C₂²⋊C₄	—	68	1	no	—
1195	C₂²⋊C₄	—	68	1	no	—
1196	C₂²⋊C₄	—	68	1	no	—
1197	C₂²⋊C₄	—	68	1	no	—
1198	C₂²⋊C₄	—	68	1	no	—
1199	C₂²⋊C₄	—	68	1	no	—
1200	C₂²⋊C₄	—	68	1	no	—
1201	C₂²⋊C₄	—	68	1	no	—
1202	C₂²⋊C₄	—	68	1	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	—	34	2	no	—
1206	C₄²	—	34	2	no	—
1207	C₄²	—	68	1	no	—
1208	C₄²	—	68	1	no	—
1209	C₄²	—	68	1	no	—
1210	C₄²	—	68	1	no	—
1211	C₄²	—	68	1	no	—
1212	C₄²	—	68	1	no	—
1213	C₄²	—	68	1	no	—
1214	C₄²	—	68	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	4	4	no	—
1234	C₂³	—	4	4	no	—
1235	C₂³	—	4	4	no	—
1236	C₂³	—	8	2	no	—
1237	C₂³	—	8	2	no	—
1238	C₂³	—	8	2	no	—
1239	C₂³	—	8	2	no	—
1240	C₂³	#41×D₁₇	1	2	yes	—
1241	C₂³	#10587697	1	2	yes	—
1242	C₂³	#10587697	1	2	yes	—
1243	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1244	Q₈	—	136	2	no	—
1245	Q₈	—	136	2	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	4	4	no	—
1282	C₂×C₄	—	8	2	no	—
1283	C₂×C₄	—	17	2	no	—
1284	C₂×C₄	—	17	2	no	—
1285	C₂×C₄	—	17	2	no	—
1286	C₂×C₄	—	34	1	no	—
1287	C₂×C₄	—	34	1	no	—
1288	C₂×C₄	—	34	1	no	—
1289	C₂×C₄	—	34	1	no	—
1290	C₂×C₄	—	34	1	no	—
1291	C₂×C₄	—	34	1	no	—
1292	C₂×C₄	—	34	1	no	—
1293	C₂×C₄	—	34	1	no	—
1294	C₂×C₄	—	34	1	no	—
1295	C₂×C₄	—	34	1	no	—
1296	C₂×C₄	—	34	1	no	—
1297	C₂×C₄	—	34	1	no	—
1298	C₂×C₄	—	34	1	no	—
1299	C₂×C₄	—	34	1	no	—
1300	C₂×C₄	—	34	1	no	—
1301	C₂×C₄	—	34	1	no	—
1302	C₂×C₄	—	34	1	no	—
1303	C₂×C₄	—	34	1	no	—
1304	C₂×C₄	—	34	1	no	—
1305	C₂×C₄	—	34	1	no	—
1306	C₂×C₄	—	34	1	no	—
1307	C₂×C₄	—	34	1	no	—
1308	C₂×C₄	—	34	1	no	—
1309	C₂×C₄	—	34	1	no	—
1310	C₂×C₄	—	34	1	no	—
1311	C₂×C₄	—	34	1	no	—
1312	C₂×C₄	—	34	1	no	—
1313	C₂×C₄	—	34	1	no	—
1314	C₂×C₄	—	34	1	no	—
1315	C₂×C₄	—	34	1	no	—
1316	C₂×C₄	—	34	1	no	—
1317	C₂×C₄	—	34	1	no	—
1318	C₂×C₄	—	34	1	no	—
1319	C₂×C₄	—	34	1	no	—
1320	C₂×C₄	—	34	1	no	—
1321	C₂×C₄	—	34	1	no	—
1322	C₂×C₄	—	34	1	no	—
1323	C₂×C₄	—	34	1	no	—
1324	C₂×C₄	—	34	1	no	—
1325	C₂×C₄	—	34	1	no	—
1326	C₂×C₄	—	34	1	no	—
1327	C₂×C₄	—	34	1	no	—
1328	C₂×C₄	—	34	1	no	—
1329	C₂×C₄	—	34	1	no	—
1330	C₂×C₄	—	34	1	no	—
1331	C₂×C₄	—	68	4	no	—
1332	C₂×C₄	—	68	4	no	—
1333	C₂×C₄	—	68	4	no	—
1334	C₂×C₄	—	136	2	no	—
1335	C₂×C₄	#10587691	1	2	yes	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	8	8	no	—
1357	C₂²	#11763416	1	4	yes	—
1358	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1359	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1360	C₂²	C₂×#10587691	1	1	yes	characteristic
1361	C₂²	C₂×#10587697	1	1	yes	characteristic
1362	C₂²	C₂×#10587697	1	1	yes	characteristic
1363	C₂²	#11763644	1	1	yes	characteristic
1364	C₂²	#11763645	1	1	yes	characteristic
1365	C₄	—	2	2	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	34	2	no	—
1378	C₄	—	34	2	no	—
1379	C₄	—	34	2	no	—
1380	C₄	—	68	1	no	—
1381	C₄	—	68	1	no	—
1382	C₄	—	68	1	no	—
1383	C₄	—	68	1	no	—
1384	C₄	—	68	1	no	—
1385	C₄	—	68	1	no	—
1386	C₄	—	68	1	no	—
1387	C₄	—	68	1	no	—
1388	C₄	—	68	1	no	—
1389	C₄	—	68	1	no	—
1390	C₄	—	68	1	no	—
1391	C₄	—	68	1	no	—
1392	C₄	—	68	1	no	—
1393	C₂	—	2	4	no	—
1394	C₂	—	8	1	no	—
1395	C₂	—	8	1	no	—
1396	C₂	C₂×#11763416	1	1	yes	characteristic
1397	C₂	#14542622	1	1	yes	characteristic
1398	C₂	#14542627	1	1	yes	characteristic
1399	C₂	#14542980	1	1	yes	characteristic
1400	C₂	#14542999	1	1	yes	characteristic
1401	C₂	#14543343	1	1	yes	characteristic
1402	C₂	#14543396	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2480	C₂
prime radical	C₂⁵×C₁₇	C₂³
hypercenter	#2480	D₁₇
hypocenter	C₁₇	#36760
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2480

Complements

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

N	H ≅ G/N	type
1. #14537134	C₂	semidirect
2. #14537090	C₂	semidirect
3. #14536662	C₂	semidirect
4. #14536653	C₂	semidirect
5. #14536475	C₂	semidirect
6. #14536470	C₂	semidirect
7. #14536315	C₂	semidirect
8. #14536311	C₂	semidirect
9. #14536080	C₂	semidirect
10. #14536075	C₂	semidirect
11. #14535731	C₂	semidirect
12. #14535719	C₂	semidirect
13. #14535718	C₂	semidirect
14. #14535717	C₂	semidirect
15. #14535675	C₂	semidirect
16. #14535672	C₂	semidirect
17. #14535616	C₂	semidirect
18. #14535607	C₂	semidirect
21. #14533287	C₂	semidirect
22. #14533279	C₂	semidirect
26. #14532932	C₂	semidirect
27. #14532930	C₂	semidirect
28. #14531515	C₂	semidirect
29. #14531512	C₂	semidirect
32. C₂×#10587574	C₂²	semidirect
36. C₂×#10587576	C₂²	semidirect
37. C₂×#10587575	C₂²	semidirect
38. C₂×#10587575	C₂²	semidirect
45. #11762751	C₂²	semidirect
46. #11762751	C₂²	semidirect
47. #11762751	C₂²	semidirect
48. #11762751	C₂²	semidirect
49. #11762750	C₂²	semidirect
50. #11762750	C₂²	semidirect
51. #11762749	C₂²	semidirect
52. #11762747	C₂²	semidirect
57. #11762743	C₂²	semidirect
58. #11762743	C₂²	semidirect
59. #11762742	C₂²	semidirect
60. #11762742	C₂²	semidirect
61. #11762741	C₂²	semidirect
62. #11762740	C₂²	semidirect
63. #11762739	C₂²	semidirect
64. #11762739	C₂²	semidirect
89. #11762715	C₂²	semidirect
90. #11762714	C₂²	semidirect
91. #11762713	C₂²	semidirect
92. #11762713	C₂²	semidirect
93. #11762713	C₂²	semidirect
94. #11762713	C₂²	semidirect
95. #11762708	C₂²	semidirect
96. #11762707	C₂²	semidirect
97. #11762707	C₂²	semidirect
98. #11762706	C₂²	semidirect
99. #11762706	C₂²	semidirect
100. #11762706	C₂²	semidirect
101. #11762706	C₂²	semidirect
102. #11762706	C₂²	semidirect
103. #11762706	C₂²	semidirect
104. #11762705	C₂²	semidirect
105. #11762705	C₂²	semidirect
106. #11762705	C₂²	semidirect
107. #11762704	C₂²	semidirect
108. #11762704	C₂²	semidirect
126. #11762696	C₂²	semidirect
127. #11762696	C₂²	semidirect
128. #11762695	C₂²	semidirect
129. #11762695	C₂²	semidirect
130. #11762694	C₂²	semidirect
131. #11762694	C₂²	semidirect
132. #11762693	C₂²	semidirect
133. #11762693	C₂²	semidirect
134. #11762693	C₂²	semidirect
135. #11762693	C₂²	semidirect
136. #11762692	C₂²	semidirect
137. #11762692	C₂²	semidirect
138. #11762691	C₂²	semidirect
139. #11762691	C₂²	semidirect
140. #11762691	C₂²	semidirect
141. #11762691	C₂²	semidirect
142. #11762690	C₂²	semidirect
143. #11762690	C₂²	semidirect
144. #11762690	C₂²	semidirect
145. #11762690	C₂²	semidirect
156. #11762678	C₂²	semidirect
157. #11762675	C₂²	semidirect
158. #11762673	C₂²	semidirect
159. #11762673	C₂²	semidirect
1058. C₁₇	#36760	semidirect

Maximal subgroups

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

subgroup	index
#14537134	2
#14537090	2
#14536662	2
#14536653	2
#14536475	2
#14536470	2
#14536315	2
#14536311	2
#14536080	2
#14536075	2
#14535731	2
#14535719	2
#14535718	2
#14535717	2
#14535675	2
#14535672	2
#14535616	2
#14535607	2
#14534593	2
#14533287	2
#14533279	2
#14533029	2
#14533027	2
#14533024	2
#14532932	2
#14532930	2
#14531515	2
#14531512	2
C₂×#11762703	2
C₁₇×#2480	2
#36760	17