Subgroups — #17197964

Order 4352.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11763416	C₂	1	1	yes	maximal, characteristic
2	#14531969	C₂	1	1	yes	maximal, characteristic, complemented
3	#14531968	C₂	1	1	yes	maximal, characteristic, complemented
4	#14531967	C₂	1	1	yes	maximal, characteristic, complemented
5	#14531966	C₂	1	1	yes	maximal, characteristic, complemented
6	#14531883	C₂	1	1	yes	maximal, characteristic, complemented
7	#14531881	C₂	1	1	yes	maximal, characteristic, complemented
8	#14531880	C₂	1	1	yes	maximal, characteristic, complemented
9	#14531879	C₂	1	1	yes	maximal, characteristic, complemented
10	#14531877	C₂	1	1	yes	maximal, characteristic, complemented
11	#14531875	C₂	1	1	yes	maximal, characteristic, complemented
12	#14531843	C₂	1	1	yes	maximal, characteristic, complemented
13	#14531839	C₂	1	1	yes	maximal, characteristic, complemented
14	#14531738	C₂	1	1	yes	maximal, characteristic, complemented
15	#14531736	C₂	1	1	yes	maximal, characteristic, complemented
16	#14531704	C₂	1	1	yes	maximal, characteristic, complemented
17	#14531703	C₂	1	1	yes	maximal, characteristic, complemented
18	#14531563	C₂	1	1	yes	maximal, characteristic
19	#14531561	C₂	1	1	yes	maximal, characteristic
20	#14531557	C₂	1	1	yes	maximal, characteristic
21	#14531556	C₂	1	1	yes	maximal, characteristic
22	#14531556	C₂	1	1	yes	maximal, characteristic
23	#14531554	C₂	1	1	yes	maximal, characteristic
24	#14531554	C₂	1	1	yes	maximal, characteristic
25	#14531463	C₂	1	1	yes	maximal, characteristic
26	#14531463	C₂	1	1	yes	maximal, characteristic
27	#14531388	C₂	1	1	yes	maximal, characteristic
28	#14531316	C₂	1	1	yes	maximal, characteristic
29	C₄×#10587564	C₂	1	1	yes	maximal, characteristic
30	#14531263	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2334	C₂	1	1	yes	maximal, characteristic
32	#11763416	C₄	1	16	yes	complemented
33	C₂×#10587574	C₂²	1	1	yes	characteristic
34	C₂×#10587565	C₂²	1	1	yes	characteristic
35	C₂×#10587565	C₂²	1	1	yes	characteristic
36	C₂×#10587565	C₂²	1	1	yes	characteristic
37	C₂×#10587556	C₂²	1	1	yes	characteristic
38	C₂×#10587576	C₂²	1	1	yes	characteristic
39	C₂×#10587575	C₂²	1	1	yes	characteristic
40	C₂×#10587575	C₂²	1	1	yes	characteristic
41	C₂×#10587575	C₂²	1	1	yes	characteristic
42	C₂×#10587564	C₂²	1	1	yes	characteristic
43	C₂×#10587564	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₃₄	C₂²	1	1	yes	characteristic
48	C₂×#10587573	C₂²	1	1	yes	characteristic
49	C₂×#10587573	C₂²	1	1	yes	characteristic
50	C₂×#10587563	C₂²	1	1	yes	characteristic
51	C₂×#10587563	C₂²	1	1	yes	characteristic
52	C₂²×C₄×Dic₁₇	C₂²	1	1	yes	characteristic
53	#11762713	C₂²	1	1	yes	characteristic
54	#11762713	C₂²	1	1	yes	characteristic
55	#11762713	C₂²	1	1	yes	characteristic
56	#11762713	C₂²	1	1	yes	characteristic
57	#11762708	C₂²	1	1	yes	characteristic
58	#11762708	C₂²	1	1	yes	characteristic
59	#11762707	C₂²	1	1	yes	characteristic
60	#11762707	C₂²	1	1	yes	characteristic
61	#11762707	C₂²	1	1	yes	characteristic
62	#11762706	C₂²	1	1	yes	characteristic
63	#11762706	C₂²	1	1	yes	characteristic
64	#11762706	C₂²	1	1	yes	characteristic
65	#11762706	C₂²	1	1	yes	characteristic
66	#11762706	C₂²	1	1	yes	characteristic
67	#11762706	C₂²	1	1	yes	characteristic
68	#11762706	C₂²	1	1	yes	characteristic
69	#11762706	C₂²	1	1	yes	characteristic
70	#11762705	C₂²	1	1	yes	characteristic
71	#11762705	C₂²	1	1	yes	characteristic
72	#11762705	C₂²	1	1	yes	characteristic
73	#11762704	C₂²	1	1	yes	characteristic
74	#11762704	C₂²	1	1	yes	characteristic
75	#11762704	C₂²	1	1	yes	characteristic
76	#11762704	C₂²	1	1	yes	characteristic
77	#11762704	C₂²	1	1	yes	characteristic
78	#11762704	C₂²	1	1	yes	characteristic
79	#11762704	C₂²	1	1	yes	characteristic
80	#11762704	C₂²	1	1	yes	characteristic
81	#11762704	C₂²	1	1	yes	characteristic
82	#11762704	C₂²	1	1	yes	characteristic
83	#11762703	C₂²	1	1	yes	characteristic
84	#11762702	C₂²	1	1	yes	characteristic
85	#11762702	C₂²	1	1	yes	characteristic
86	#11762702	C₂²	1	1	yes	characteristic
87	#11762697	C₂²	1	1	yes	characteristic
88	#11762697	C₂²	1	1	yes	characteristic
89	#11762697	C₂²	1	1	yes	characteristic
90	#11762697	C₂²	1	1	yes	characteristic
91	#11762697	C₂²	1	1	yes	characteristic
92	#11762696	C₂²	1	1	yes	characteristic
93	#11762696	C₂²	1	1	yes	characteristic
94	#11762696	C₂²	1	1	yes	characteristic
95	#11762696	C₂²	1	1	yes	characteristic
96	#11762696	C₂²	1	1	yes	characteristic
97	#11762696	C₂²	1	1	yes	characteristic
98	#11762695	C₂²	1	1	yes	characteristic
99	#11762695	C₂²	1	1	yes	characteristic
100	#11762695	C₂²	1	1	yes	characteristic
101	#11762694	C₂²	1	1	yes	characteristic
102	#11762694	C₂²	1	1	yes	characteristic
103	#11762694	C₂²	1	1	yes	characteristic
104	#11762694	C₂²	1	1	yes	characteristic
105	#11762694	C₂²	1	1	yes	characteristic
106	#11762694	C₂²	1	1	yes	characteristic
107	#11762693	C₂²	1	1	yes	characteristic
108	#11762693	C₂²	1	1	yes	characteristic
109	#11762693	C₂²	1	1	yes	characteristic
110	#11762693	C₂²	1	1	yes	characteristic
111	#11762693	C₂²	1	1	yes	characteristic
112	#11762692	C₂²	1	1	yes	characteristic
113	#11762692	C₂²	1	1	yes	characteristic
114	#11762692	C₂²	1	1	yes	characteristic
115	#11762692	C₂²	1	1	yes	characteristic
116	#11762691	C₂²	1	1	yes	characteristic
117	#11762691	C₂²	1	1	yes	characteristic
118	#11762691	C₂²	1	1	yes	characteristic
119	#11762691	C₂²	1	1	yes	characteristic
120	#11762691	C₂²	1	1	yes	characteristic
121	#11762690	C₂²	1	1	yes	characteristic
122	#11762690	C₂²	1	1	yes	characteristic
123	#11762690	C₂²	1	1	yes	characteristic
124	#11762690	C₂²	1	1	yes	characteristic
125	#11762684	C₂²	1	1	yes	characteristic
126	#11762684	C₂²	1	1	yes	characteristic
127	#11762682	C₂²	1	1	yes	characteristic
128	#11762682	C₂²	1	1	yes	characteristic
129	#11762681	C₂²	1	1	yes	characteristic
130	#11762681	C₂²	1	1	yes	characteristic
131	#11762678	C₂²	1	1	yes	characteristic
132	#11762675	C₂²	1	1	yes	characteristic
133	#11762674	C₂²	1	1	yes	characteristic
134	#11762674	C₂²	1	1	yes	characteristic
135	#11762673	C₂²	1	1	yes	characteristic
136	#11762673	C₂²	1	1	yes	characteristic
137	#11762673	C₂²	1	1	yes	characteristic
138	#11762673	C₂²	1	1	yes	characteristic
139	#11762673	C₂²	1	1	yes	characteristic
140	#11762667	C₂²	1	1	yes	characteristic
141	#11762667	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
150	C₄×#63225	C₂²	1	1	yes	characteristic
151	C₄×#63225	C₂²	1	1	yes	characteristic
152	C₄×#63225	C₂²	1	1	yes	characteristic
153	C₄×#63225	C₂²	1	1	yes	characteristic
154	C₄×#63225	C₂²	1	1	yes	characteristic
155	C₄×#63225	C₂²	1	1	yes	characteristic
156	C₄×#63225	C₂²	1	1	yes	characteristic
157	C₄×#63225	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
160	#11762660	C₂²	1	1	yes	characteristic
161	#11762660	C₂²	1	1	yes	characteristic
162	#11762660	C₂²	1	1	yes	characteristic
163	#11762660	C₂²	1	1	yes	characteristic
164	#11762660	C₂²	1	1	yes	characteristic
165	#11762660	C₂²	1	1	yes	characteristic
166	#11762660	C₂²	1	1	yes	characteristic
167	#11762660	C₂²	1	1	yes	characteristic
168	#11762660	C₂²	1	1	yes	characteristic
169	#11762660	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
173	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
174	C₁₇×#389	C₂²	1	1	yes	characteristic
175	C₁₇×#389	C₂²	1	1	yes	characteristic
176	C₁₇×#388	C₂²	1	1	yes	characteristic
177	C₁₇×#388	C₂²	1	1	yes	characteristic
178	C₁₇×#388	C₂²	1	1	yes	characteristic
179	C₁₇×#387	C₂²	1	1	yes	characteristic
180	C₁₇×#387	C₂²	1	1	yes	characteristic
181	C₁₇×#387	C₂²	1	1	yes	characteristic
182	C₁₇×#385	C₂²	1	1	yes	characteristic
183	C₁₇×#385	C₂²	1	1	yes	characteristic
184	C₁₇×#382	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
188	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
191	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
192	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
193	C₁₇×#126	C₂×C₄	1	8	yes	—
194	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
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×C₄²×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
234	C₂×#63225	C₂³	1	1	yes	characteristic
235	C₂×#63225	C₂³	1	1	yes	characteristic
236	C₂×#63225	C₂³	1	1	yes	characteristic
237	C₂×#63225	C₂³	1	1	yes	characteristic
238	C₂×#63225	C₂³	1	1	yes	characteristic
239	C₂×#63225	C₂³	1	1	yes	characteristic
240	C₂×#63225	C₂³	1	1	yes	characteristic
241	C₂×#63225	C₂³	1	1	yes	characteristic
242	C₂×#63225	C₂³	1	1	yes	characteristic
243	C₂×#63225	C₂³	1	1	yes	characteristic
244	C₂×#63225	C₂³	1	1	yes	characteristic
245	C₂×#63225	C₂³	1	1	yes	characteristic
246	C₂×#63225	C₂³	1	1	yes	characteristic
247	C₂×#63225	C₂³	1	1	yes	characteristic
248	C₂×#63225	C₂³	1	1	yes	characteristic
249	C₂×#63225	C₂³	1	1	yes	characteristic
250	C₂×#63225	C₂³	1	1	yes	characteristic
251	C₂×#63225	C₂³	1	1	yes	characteristic
252	C₂×#63225	C₂³	1	1	yes	characteristic
253	C₂×#63225	C₂³	1	1	yes	characteristic
254	C₂×#63225	C₂³	1	1	yes	characteristic
255	C₂×#63225	C₂³	1	1	yes	characteristic
256	C₂×#63225	C₂³	1	1	yes	characteristic
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×C₄×Dic₁₇	—	4	2	no	—
267	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
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	#10587576	C₂×C₄	1	8	yes	complemented
294	#10587575	C₂×C₄	1	8	yes	complemented
295	#10587575	C₂×C₄	1	8	yes	complemented
296	#10587575	C₂×C₄	1	8	yes	complemented
297	#10587574	C₂×C₄	1	8	yes	complemented
298	#10587573	—	4	2	no	—
299	#10587573	C₂×C₄	1	8	yes	complemented
300	#10587565	C₂×C₄	1	8	yes	—
301	#10587565	C₂×C₄	1	8	yes	—
302	#10587565	C₂×C₄	1	8	yes	—
303	#10587564	C₂×C₄	1	8	yes	—
304	#10587564	C₂×C₄	1	8	yes	—
305	#10587563	—	4	2	no	—
306	#10587563	C₂×C₄	1	8	yes	—
307	#10587556	C₂×C₄	1	8	yes	complemented
308	C₄×Dic₃₄	—	4	2	no	—
309	C₄×Dic₃₄	—	4	2	no	—
310	C₄×Dic₃₄	—	4	2	no	—
311	C₄×Dic₃₄	C₂×C₄	1	8	yes	complemented
312	C₁₇×#95	C₂³	1	1	yes	characteristic
313	C₁₇×#95	C₂³	1	1	yes	characteristic
314	C₁₇×#95	C₂³	1	1	yes	characteristic
315	C₁₇×#95	C₂³	1	1	yes	characteristic
316	C₁₇×#95	C₂³	1	1	yes	characteristic
317	C₁₇×#95	C₂³	1	1	yes	characteristic
318	C₁₇×#95	C₂³	1	1	yes	characteristic
319	C₁₇×#95	C₂³	1	1	yes	characteristic
320	C₁₇×#95	C₂³	1	1	yes	characteristic
321	C₁₇×#95	C₂³	1	1	yes	characteristic
322	C₁₇×#95	C₂³	1	1	yes	characteristic
323	C₁₇×#95	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	#10587502	C₂³	1	1	yes	characteristic
358	#10587502	C₂³	1	1	yes	characteristic
359	#10587502	C₂³	1	1	yes	characteristic
360	#10587502	C₂³	1	1	yes	characteristic
361	#10587502	C₂³	1	1	yes	characteristic
362	#10587502	C₂³	1	1	yes	characteristic
363	#10587502	C₂³	1	1	yes	characteristic
364	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₇	—	2	2	no	—
366	C₂²×C₄×C₁₇	—	4	1	no	—
367	C₂²×C₄×C₁₇	—	4	1	no	—
368	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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×Dic₁₇	—	2	2	no	—
383	C₂²×Dic₁₇	—	2	2	no	—
384	C₂²×Dic₁₇	—	2	2	no	—
385	C₂²×Dic₁₇	—	4	1	no	—
386	C₂²×Dic₁₇	—	4	1	no	—
387	C₂²×Dic₁₇	C₂²×C₄	1	4	yes	—
388	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₃₄	—	2	2	no	—
405	C₂×Dic₃₄	—	2	2	no	—
406	C₂×Dic₃₄	—	2	2	no	—
407	C₂×Dic₃₄	—	2	2	no	—
408	C₂×Dic₃₄	C₂²×C₄	1	4	yes	—
409	C₂×Dic₃₄	C₂²×C₄	1	4	yes	—
410	C₄⋊C₄×C₁₇	—	2	2	no	—
411	C₄⋊C₄×C₁₇	—	2	2	no	—
412	C₄⋊C₄×C₁₇	—	4	1	no	—
413	C₄⋊C₄×C₁₇	—	4	1	no	—
414	C₄⋊C₄×C₁₇	—	4	1	no	—
415	C₄⋊C₄×C₁₇	—	4	1	no	—
416	C₄⋊C₄×C₁₇	—	4	1	no	—
417	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
418	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
419	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
420	C₂²⋊C₄×C₁₇	—	4	1	no	—
421	C₂²⋊C₄×C₁₇	—	4	1	no	—
422	C₂²⋊C₄×C₁₇	—	4	1	no	—
423	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
424	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
425	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
426	C₄²×C₁₇	—	4	1	no	—
427	C₄²×C₁₇	—	4	1	no	—
428	C₄²×C₁₇	—	4	1	no	—
429	C₄²×C₁₇	—	4	1	no	—
430	C₄²×C₁₇	—	4	1	no	—
431	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
432	C₂²⋊Dic₁₇	—	4	1	no	—
433	C₂²⋊Dic₁₇	—	4	1	no	—
434	C₂²⋊Dic₁₇	—	4	1	no	—
435	C₂²⋊Dic₁₇	C₂²×C₄	1	4	yes	—
436	C₂²⋊Dic₁₇	C₂²×C₄	1	4	yes	—
437	C₂²⋊Dic₁₇	C₂²×C₄	1	4	yes	—
438	C₄⋊Dic₁₇	—	2	2	no	—
439	C₄⋊Dic₁₇	—	2	2	no	—
440	C₄⋊Dic₁₇	—	4	1	no	—
441	C₄⋊Dic₁₇	—	4	1	no	—
442	C₄⋊Dic₁₇	—	4	1	no	—
443	C₄⋊Dic₁₇	—	4	1	no	—
444	C₄⋊Dic₁₇	—	4	1	no	—
445	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
446	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
447	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
448	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
449	C₄⋊Dic₁₇	C₂²×C₄	1	4	yes	—
450	#63225	—	2	2	no	—
451	#63225	—	2	2	no	—
452	#63225	—	2	2	no	—
453	#63225	—	2	2	no	—
454	#63225	—	2	2	no	—
455	#63225	—	2	2	no	—
456	#63225	—	2	2	no	—
457	#63225	—	2	2	no	—
458	#63225	—	4	1	no	—
459	#63225	—	4	1	no	—
460	#63225	—	4	1	no	—
461	#63225	—	4	1	no	—
462	#63225	—	4	1	no	—
463	#63225	—	4	1	no	—
464	#63225	—	4	1	no	—
465	#63225	—	4	1	no	—
466	#63225	—	4	1	no	—
467	#63225	—	4	1	no	—
468	#63225	—	4	1	no	—
469	#63225	—	4	1	no	—
470	#63225	C₂²×C₄	1	4	yes	—
471	#63225	C₂²×C₄	1	4	yes	—
472	#63225	C₂²×C₄	1	4	yes	—
473	#63225	C₂²×C₄	1	4	yes	—
474	#63225	C₂²×C₄	1	4	yes	—
475	#63225	C₂²×C₄	1	4	yes	—
476	#63225	C₂²×C₄	1	4	yes	—
477	#63225	C₂²×C₄	1	4	yes	—
478	#63225	C₂²×C₄	1	4	yes	—
479	#63225	C₂²×C₄	1	4	yes	—
480	#63225	C₂²×C₄	1	4	yes	—
481	#63225	C₂²×C₄	1	4	yes	—
482	C₄×Dic₁₇	—	2	2	no	—
483	C₄×Dic₁₇	—	2	2	no	—
484	C₄×Dic₁₇	—	2	2	no	—
485	C₄×Dic₁₇	—	2	2	no	—
486	C₄×Dic₁₇	—	4	1	no	—
487	C₄×Dic₁₇	—	4	1	no	—
488	C₄×Dic₁₇	—	4	1	no	—
489	C₄×Dic₁₇	—	4	1	no	—
490	C₄×Dic₁₇	—	4	1	no	—
491	C₄×Dic₁₇	—	4	1	no	—
492	C₄×Dic₁₇	—	4	1	no	—
493	C₄×Dic₁₇	—	4	1	no	—
494	C₄×Dic₁₇	—	4	1	no	—
495	C₄×Dic₁₇	—	4	1	no	—
496	C₄×Dic₁₇	—	4	1	no	—
497	C₄×Dic₁₇	—	4	1	no	—
498	C₄×Dic₁₇	—	4	1	no	—
499	C₄×Dic₁₇	—	4	1	no	—
500	C₄×Dic₁₇	—	4	1	no	—
501	C₄×Dic₁₇	—	4	1	no	—
502	C₄×Dic₁₇	—	4	1	no	—
503	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
504	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
505	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
506	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
507	C₄×Dic₁₇	C₂²×C₄	1	4	yes	—
508	#34421	—	17	1	no	maximal, Sylow
509	C₂³×C₁₇	—	2	1	no	—
510	C₂³×C₁₇	—	2	1	no	—
511	C₂³×C₁₇	—	2	1	no	—
512	C₂³×C₁₇	—	2	1	no	—
513	C₂³×C₁₇	—	2	1	no	—
514	C₂³×C₁₇	—	2	1	no	—
515	C₂³×C₁₇	C₂³×C₄	1	2	yes	—
516	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
517	C₂×C₄×C₁₇	—	2	1	no	—
518	C₂×C₄×C₁₇	—	2	1	no	—
519	C₂×C₄×C₁₇	—	2	1	no	—
520	C₂×C₄×C₁₇	—	2	1	no	—
521	C₂×C₄×C₁₇	—	2	1	no	—
522	C₂×C₄×C₁₇	—	2	1	no	—
523	C₂×C₄×C₁₇	—	2	1	no	—
524	C₂×C₄×C₁₇	—	2	1	no	—
525	C₂×C₄×C₁₇	—	2	1	no	—
526	C₂×C₄×C₁₇	—	2	1	no	—
527	C₂×C₄×C₁₇	—	2	1	no	—
528	C₂×C₄×C₁₇	—	2	1	no	—
529	C₂×C₄×C₁₇	—	2	1	no	—
530	C₂×C₄×C₁₇	—	2	1	no	—
531	C₂×C₄×C₁₇	—	2	1	no	—
532	C₂×C₄×C₁₇	—	2	1	no	—
533	C₂×C₄×C₁₇	—	2	1	no	—
534	C₂×C₄×C₁₇	—	2	1	no	—
535	C₂×C₄×C₁₇	—	2	1	no	—
536	C₂×C₄×C₁₇	—	2	1	no	—
537	C₂×C₄×C₁₇	—	2	1	no	—
538	C₂×C₄×C₁₇	—	2	1	no	—
539	C₂×C₄×C₁₇	—	2	1	no	—
540	C₂×C₄×C₁₇	—	2	1	no	—
541	C₂×C₄×C₁₇	—	2	1	no	—
542	C₂×C₄×C₁₇	—	2	1	no	—
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	—	4	4	no	—
553	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
554	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
555	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
557	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
559	C₂×C₄×C₁₇	2₋¹⁺⁴	1	2	yes	—
560	C₂×Dic₁₇	—	2	1	no	—
561	C₂×Dic₁₇	—	2	1	no	—
562	C₂×Dic₁₇	—	2	1	no	—
563	C₂×Dic₁₇	—	2	1	no	—
564	C₂×Dic₁₇	—	2	1	no	—
565	C₂×Dic₁₇	—	2	1	no	—
566	C₂×Dic₁₇	—	2	1	no	—
567	C₂×Dic₁₇	—	2	1	no	—
568	C₂×Dic₁₇	—	2	1	no	—
569	C₂×Dic₁₇	—	2	1	no	—
570	C₂×Dic₁₇	—	2	1	no	—
571	C₂×Dic₁₇	—	2	1	no	—
572	C₂×Dic₁₇	—	2	1	no	—
573	C₂×Dic₁₇	—	2	1	no	—
574	C₂×Dic₁₇	—	2	1	no	—
575	C₂×Dic₁₇	—	2	1	no	—
576	C₂×Dic₁₇	—	2	8	no	—
577	C₂×Dic₁₇	—	2	1	no	—
578	C₂×Dic₁₇	—	2	1	no	—
579	C₂×Dic₁₇	—	2	1	no	—
580	C₂×Dic₁₇	—	2	1	no	—
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	—	4	4	no	—
599	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
600	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
601	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
602	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
603	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
604	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
605	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
606	C₂×Dic₁₇	C₂³×C₄	1	2	yes	—
607	C₂×Dic₁₇	H(5,𝔽₂)	1	2	yes	—
608	C₂×Dic₁₇	2₋¹⁺⁴	1	2	yes	—
609	C₂×Dic₁₇	2₋¹⁺⁴	1	2	yes	—
610	Dic₃₄	—	2	8	no	—
611	Dic₃₄	—	2	8	no	—
612	C₂×#541	—	17	1	no	—
613	#2382	—	17	1	no	—
614	#2382	—	17	1	no	—
615	#2382	—	17	1	no	—
616	#2382	—	17	1	no	—
617	#2370	—	17	1	no	—
618	#2370	—	17	1	no	—
619	#2370	—	17	1	no	—
620	#2370	—	17	1	no	—
621	#2370	—	17	1	no	—
622	#2370	—	17	1	no	—
623	#2365	—	17	1	no	—
624	#2365	—	17	1	no	—
625	#2355	—	17	1	no	—
626	#2355	—	17	1	no	—
627	#2351	—	17	1	no	—
628	#2351	—	17	1	no	—
629	#2334	—	17	1	no	—
630	#2334	—	17	1	no	—
631	#2334	—	17	1	no	—
632	#2334	—	17	1	no	—
633	#2334	—	17	1	no	—
634	#2334	—	17	1	no	—
635	#2334	—	17	1	no	—
636	#2334	D₁₇	1	1	yes	characteristic
637	#2323	—	17	1	no	—
638	#2323	—	17	1	no	—
639	#2314	—	17	1	no	—
640	C₄×C₂²⋊Q₈	—	17	1	no	—
641	C₄×C₂²⋊Q₈	—	17	1	no	—
642	#2296	—	17	1	no	—
643	C₂²×C₁₇	—	2	2	no	—
644	C₂²×C₁₇	—	2	2	no	—
645	C₂²×C₁₇	—	2	2	no	—
646	C₂²×C₁₇	—	4	1	no	—
647	C₂²×C₁₇	—	4	1	no	—
648	C₂²×C₁₇	—	4	1	no	—
649	C₂²×C₁₇	—	4	1	no	—
650	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
651	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
653	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
654	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
655	C₂²×C₁₇	#585	1	1	yes	characteristic
656	C₂²×C₁₇	#585	1	1	yes	characteristic
657	C₄×C₁₇	—	2	2	no	—
658	C₄×C₁₇	—	2	2	no	—
659	C₄×C₁₇	—	2	2	no	—
660	C₄×C₁₇	—	2	2	no	—
661	C₄×C₁₇	—	2	2	no	—
662	C₄×C₁₇	—	2	2	no	—
663	C₄×C₁₇	—	2	2	no	—
664	C₄×C₁₇	—	4	1	no	—
665	C₄×C₁₇	—	4	1	no	—
666	C₄×C₁₇	—	4	1	no	—
667	C₄×C₁₇	—	4	1	no	—
668	C₄×C₁₇	—	4	1	no	—
669	C₄×C₁₇	—	4	1	no	—
670	C₄×C₁₇	—	4	1	no	—
671	Dic₁₇	—	2	2	no	—
672	Dic₁₇	—	2	2	no	—
673	Dic₁₇	—	2	2	no	—
674	Dic₁₇	—	2	2	no	—
675	Dic₁₇	—	2	2	no	—
676	Dic₁₇	—	2	2	no	—
677	Dic₁₇	—	2	2	no	—
678	Dic₁₇	—	2	2	no	—
679	Dic₁₇	—	4	1	no	—
680	Dic₁₇	—	4	1	no	—
681	Dic₁₇	—	4	1	no	—
682	Dic₁₇	—	4	1	no	—
683	Dic₁₇	—	4	1	no	—
684	Dic₁₇	—	4	1	no	—
685	Dic₁₇	—	4	1	no	—
686	Dic₁₇	#520	1	4	yes	—
687	#541	—	17	16	no	—
688	C₂×C₄⋊Q₈	—	17	1	no	—
689	C₂×#126	—	17	1	no	—
690	C₂×#126	—	17	1	no	—
691	C₂×#126	—	17	1	no	—
692	C₂×#126	C₂×D₁₇	1	1	yes	characteristic
693	C₂×#125	—	17	1	no	—
694	C₂×#125	—	17	1	no	—
695	C₂×#125	—	17	1	no	—
696	C₂×#125	—	17	1	no	—
697	C₂×#125	—	17	1	no	—
698	C₂×C₂²⋊Q₈	—	17	1	no	—
699	C₂×C₂²⋊Q₈	—	17	1	no	—
700	C₂×C₄×Q₈	—	17	1	no	—
701	C₂×C₄×Q₈	—	17	1	no	—
702	C₂×C₄×Q₈	—	17	1	no	—
703	C₂×C₄×Q₈	—	17	1	no	—
704	C₂×C₄×Q₈	—	17	1	no	—
705	C₂×C₄×Q₈	—	17	1	no	—
706	C₂×#117	—	17	1	no	—
707	C₂×#117	—	17	1	no	—
708	C₂²×C₄²	—	17	1	no	—
709	#391	—	17	1	no	—
710	#391	—	17	1	no	—
711	#391	—	17	1	no	—
712	#391	—	17	1	no	—
713	#389	—	17	1	no	—
714	#389	—	17	1	no	—
715	#389	—	17	1	no	—
716	#389	—	17	1	no	—
717	#389	—	17	1	no	—
718	#389	—	17	1	no	—
719	#389	—	17	1	no	—
720	#389	—	17	1	no	—
721	#389	—	17	1	no	—
722	#389	—	17	1	no	—
723	#389	—	17	1	no	—
724	#389	—	17	1	no	—
725	#389	—	17	1	no	—
726	#389	—	17	1	no	—
727	#389	—	17	1	no	—
728	#389	—	17	1	no	—
729	#389	—	17	1	no	—
730	#389	—	17	1	no	—
731	#389	—	17	1	no	—
732	#389	—	17	1	no	—
733	#389	—	17	1	no	—
734	#389	—	17	1	no	—
735	#389	—	17	1	no	—
736	#389	—	17	1	no	—
737	#389	—	17	1	no	—
738	#389	—	17	1	no	—
739	#389	C₂×D₁₇	1	1	yes	characteristic
740	#389	C₂×D₁₇	1	1	yes	characteristic
741	#388	—	17	1	no	—
742	#388	—	17	1	no	—
743	#388	—	17	1	no	—
744	#388	—	17	1	no	—
745	#388	—	17	1	no	—
746	#388	—	17	1	no	—
747	#388	—	17	1	no	—
748	#388	—	17	1	no	—
749	#388	—	17	1	no	—
750	#388	C₂×D₁₇	1	1	yes	characteristic
751	#388	C₂×D₁₇	1	1	yes	characteristic
752	#388	C₂×D₁₇	1	1	yes	characteristic
753	#387	—	17	1	no	—
754	#387	—	17	1	no	—
755	#387	—	17	1	no	—
756	#387	—	17	1	no	—
757	#387	—	17	1	no	—
758	#387	—	17	1	no	—
759	#387	—	17	1	no	—
760	#387	—	17	1	no	—
761	#387	—	17	1	no	—
762	#387	—	17	1	no	—
763	#387	—	17	1	no	—
764	#387	—	17	1	no	—
765	#387	—	17	1	no	—
766	#387	—	17	1	no	—
767	#387	—	17	1	no	—
768	#387	—	17	1	no	—
769	#387	—	17	1	no	—
770	#387	—	17	1	no	—
771	#387	—	17	1	no	—
772	#387	—	17	1	no	—
773	#387	—	17	1	no	—
774	#387	—	17	1	no	—
775	#387	—	17	1	no	—
776	#387	—	17	1	no	—
777	#387	—	17	1	no	—
778	#387	—	17	1	no	—
779	#387	—	17	1	no	—
780	#387	—	17	1	no	—
781	#387	—	17	1	no	—
782	#387	—	17	1	no	—
783	#387	—	17	1	no	—
784	#387	—	17	1	no	—
785	#387	—	17	1	no	—
786	#387	C₂×D₁₇	1	1	yes	characteristic
787	#387	C₂×D₁₇	1	1	yes	characteristic
788	#387	C₂×D₁₇	1	1	yes	characteristic
789	#385	—	17	1	no	—
790	#385	—	17	1	no	—
791	#385	—	17	1	no	—
792	#385	—	17	1	no	—
793	#385	—	17	1	no	—
794	#385	—	17	1	no	—
795	#385	C₂×D₁₇	1	1	yes	characteristic
796	#385	C₂×D₁₇	1	1	yes	characteristic
797	#384	—	17	1	no	—
798	#382	—	17	1	no	—
799	#382	—	17	1	no	—
800	#382	—	17	1	no	—
801	#382	—	17	1	no	—
802	#382	—	17	1	no	—
803	#382	—	17	1	no	—
804	#382	—	17	1	no	—
805	#382	—	17	1	no	—
806	#382	C₂×D₁₇	1	1	yes	characteristic
807	#380	—	17	1	no	—
808	#380	—	17	1	no	—
809	C₄×C₄⋊C₄	—	17	1	no	—
810	C₄×C₄⋊C₄	—	17	1	no	—
811	C₄×C₄⋊C₄	—	17	1	no	—
812	C₄×C₄⋊C₄	—	17	1	no	—
813	C₄×C₄⋊C₄	—	17	1	no	—
814	C₄×C₄⋊C₄	—	17	1	no	—
815	C₄×C₄⋊C₄	—	17	1	no	—
816	C₄×C₄⋊C₄	—	17	1	no	—
817	C₄×C₄⋊C₄	—	17	1	no	—
818	C₄×C₄⋊C₄	—	17	1	no	—
819	C₄×C₄⋊C₄	—	17	1	no	—
820	C₄×C₄⋊C₄	—	17	1	no	—
821	C₄×C₄⋊C₄	—	17	1	no	—
822	C₄×C₄⋊C₄	—	17	1	no	—
823	C₄×C₄⋊C₄	—	17	1	no	—
824	C₄×C₄⋊C₄	—	17	1	no	—
825	C₄×C₄⋊C₄	—	17	1	no	—
826	C₄×C₄⋊C₄	—	17	1	no	—
827	C₄×C₄⋊C₄	—	17	1	no	—
828	C₄×C₄⋊C₄	—	17	1	no	—
829	C₄×C₄⋊C₄	—	17	1	no	—
830	C₄×C₄⋊C₄	—	17	1	no	—
831	C₄×C₄⋊C₄	—	17	1	no	—
832	C₄×C₄⋊C₄	—	17	1	no	—
833	C₄×C₄⋊C₄	—	17	1	no	—
834	C₄×C₄⋊C₄	—	17	1	no	—
835	C₄×C₄⋊C₄	—	17	1	no	—
836	C₄×C₄⋊C₄	—	17	1	no	—
837	C₄×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
838	C₄×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
839	C₄×C₂²⋊C₄	—	17	1	no	—
840	C₄×C₂²⋊C₄	—	17	1	no	—
841	C₄×C₂²⋊C₄	—	17	1	no	—
842	C₄×C₂²⋊C₄	C₂×D₁₇	1	1	yes	characteristic
843	C₂×C₁₇	—	4	2	no	—
844	C₂×C₁₇	C₂×#520	1	1	yes	characteristic
845	C₂×C₁₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
846	C₂×C₁₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
847	C₂×C₁₇	#3541	1	1	yes	characteristic
848	C₂×C₁₇	#3541	1	1	yes	characteristic
849	C₂×C₁₇	#3556	1	1	yes	characteristic
850	C₂×C₁₇	#3557	1	1	yes	characteristic
851	C₂²×Q₈	—	17	1	no	—
852	C₂²×Q₈	—	17	1	no	—
853	C₂³×C₄	—	17	1	no	—
854	C₂³×C₄	—	17	1	no	—
855	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
856	C₄⋊Q₈	—	17	8	no	—
857	#126	—	17	8	no	—
858	#126	—	17	8	no	—
859	#126	—	17	8	no	—
860	#126	C₄×D₁₇	1	8	yes	—
861	#125	—	17	8	no	—
862	#125	—	17	8	no	—
863	#125	—	17	8	no	—
864	#125	—	17	8	no	—
865	#125	—	17	8	no	—
866	C₂²⋊Q₈	—	17	8	no	—
867	C₂²⋊Q₈	—	17	8	no	—
868	C₄×Q₈	—	17	8	no	—
869	C₄×Q₈	—	17	8	no	—
870	C₄×Q₈	—	68	2	no	—
871	C₄×Q₈	—	68	2	no	—
872	C₄×Q₈	—	68	2	no	—
873	C₄×Q₈	—	68	2	no	—
874	#117	—	17	8	no	—
875	#117	—	68	2	no	—
876	C₂×C₄⋊C₄	—	17	1	no	—
877	C₂×C₄⋊C₄	—	17	1	no	—
878	C₂×C₄⋊C₄	—	17	1	no	—
879	C₂×C₄⋊C₄	—	17	1	no	—
880	C₂×C₄⋊C₄	—	17	1	no	—
881	C₂×C₄⋊C₄	—	17	1	no	—
882	C₂×C₄⋊C₄	—	17	1	no	—
883	C₂×C₄⋊C₄	—	17	1	no	—
884	C₂×C₄⋊C₄	—	17	1	no	—
885	C₂×C₄⋊C₄	—	17	1	no	—
886	C₂×C₄⋊C₄	—	17	1	no	—
887	C₂×C₄⋊C₄	—	17	1	no	—
888	C₂×C₄⋊C₄	—	17	1	no	—
889	C₂×C₄⋊C₄	—	17	1	no	—
890	C₂×C₄⋊C₄	—	17	1	no	—
891	C₂×C₄⋊C₄	—	17	1	no	—
892	C₂×C₄⋊C₄	—	17	1	no	—
893	C₂×C₄⋊C₄	—	17	1	no	—
894	C₂×C₄⋊C₄	—	17	1	no	—
895	C₂×C₄⋊C₄	—	17	1	no	—
896	C₂×C₄⋊C₄	—	17	1	no	—
897	C₂×C₄⋊C₄	—	17	1	no	—
898	C₂×C₄⋊C₄	—	17	1	no	—
899	C₂×C₄⋊C₄	—	17	1	no	—
900	C₂×C₄⋊C₄	—	17	1	no	—
901	C₂×C₄⋊C₄	—	17	1	no	—
902	C₂×C₄⋊C₄	—	17	1	no	—
903	C₂×C₄⋊C₄	—	17	1	no	—
904	C₂×C₄⋊C₄	—	17	1	no	—
905	C₂×C₄⋊C₄	—	17	1	no	—
906	C₂×C₄⋊C₄	—	17	1	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	C₂²×D₁₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	—	17	1	no	—
931	C₂×C₂²⋊C₄	—	17	1	no	—
932	C₂×C₂²⋊C₄	—	17	1	no	—
933	C₂×C₂²⋊C₄	—	17	1	no	—
934	C₂×C₂²⋊C₄	—	17	1	no	—
935	C₂×C₂²⋊C₄	—	17	1	no	—
936	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
942	C₂×C₄²	—	17	1	no	—
943	C₂×C₄²	—	17	1	no	—
944	C₂×C₄²	—	17	1	no	—
945	C₂×C₄²	—	17	1	no	—
946	C₂×C₄²	—	17	1	no	—
947	C₂×C₄²	—	17	1	no	—
948	C₂×C₄²	—	17	1	no	—
949	C₂×C₄²	—	17	1	no	—
950	C₂×C₄²	—	17	1	no	—
951	C₂×C₄²	—	17	1	no	—
952	C₂×C₄²	—	17	1	no	—
953	C₂×C₄²	—	17	1	no	—
954	C₂×C₄²	—	17	1	no	—
955	C₂×C₄²	—	17	1	no	—
956	C₂×C₄²	—	17	1	no	—
957	C₂×C₄²	—	17	1	no	—
958	C₂×C₄²	—	17	1	no	—
959	C₂×C₄²	—	17	1	no	—
960	C₂×C₄²	—	17	1	no	—
961	C₂×C₄²	—	17	1	no	—
962	C₂×C₄²	—	17	1	no	—
963	C₂×C₄²	—	17	1	no	—
964	C₂×C₄²	—	17	1	no	—
965	C₂×C₄²	—	17	1	no	—
966	C₂×C₄²	—	17	1	no	—
967	C₂×C₄²	—	17	1	no	—
968	C₂×C₄²	—	68	2	no	—
969	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
974	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
975	#95	—	17	1	no	—
976	#95	—	17	1	no	—
977	#95	—	17	1	no	—
978	#95	—	17	1	no	—
979	#95	—	17	1	no	—
980	#95	—	17	1	no	—
981	#95	—	17	1	no	—
982	#95	—	17	1	no	—
983	#95	—	17	1	no	—
984	#95	—	17	1	no	—
985	#95	—	17	1	no	—
986	#95	—	17	1	no	—
987	#95	—	17	1	no	—
988	#95	—	17	1	no	—
989	#95	—	17	1	no	—
990	#95	—	17	1	no	—
991	#95	—	17	1	no	—
992	#95	—	17	1	no	—
993	#95	—	17	1	no	—
994	#95	—	17	1	no	—
995	#95	—	17	1	no	—
996	#95	—	17	1	no	—
997	#95	—	17	1	no	—
998	#95	—	17	1	no	—
999	#95	—	17	1	no	—
1000	#95	—	17	1	no	—
1001	#95	—	17	1	no	—
1002	#95	—	17	1	no	—
1003	#95	—	17	1	no	—
1004	#95	—	17	1	no	—
1005	#95	—	17	1	no	—
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	C₂²×D₁₇	1	1	yes	characteristic
1016	#95	C₂²×D₁₇	1	1	yes	characteristic
1017	#95	C₂²×D₁₇	1	1	yes	characteristic
1018	#95	C₂²×D₁₇	1	1	yes	characteristic
1019	#95	C₂²×D₁₇	1	1	yes	characteristic
1020	#95	C₂²×D₁₇	1	1	yes	characteristic
1021	#95	C₂²×D₁₇	1	1	yes	characteristic
1022	#95	C₂²×D₁₇	1	1	yes	characteristic
1023	#95	C₂²×D₁₇	1	1	yes	characteristic
1024	#95	C₂²×D₁₇	1	1	yes	characteristic
1025	#95	C₂²×D₁₇	1	1	yes	characteristic
1026	#95	C₂²×D₁₇	1	1	yes	characteristic
1027	C₁₇	#34421	1	1	yes	characteristic, complemented, Sylow
1028	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1029	C₂×Q₈	—	17	4	no	—
1030	C₂×Q₈	—	17	4	no	—
1031	C₂×Q₈	—	34	2	no	—
1032	C₂×Q₈	—	34	2	no	—
1033	C₂×Q₈	—	34	2	no	—
1034	C₂×Q₈	—	34	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	4	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	17	1	no	—
1039	C₂²×C₄	—	17	4	no	—
1040	C₂²×C₄	—	17	1	no	—
1041	C₂²×C₄	—	17	1	no	—
1042	C₂²×C₄	—	17	1	no	—
1043	C₂²×C₄	—	17	1	no	—
1044	C₂²×C₄	—	17	1	no	—
1045	C₂²×C₄	—	17	1	no	—
1046	C₂²×C₄	—	17	1	no	—
1047	C₂²×C₄	—	17	1	no	—
1048	C₂²×C₄	—	17	1	no	—
1049	C₂²×C₄	—	17	1	no	—
1050	C₂²×C₄	—	17	1	no	—
1051	C₂²×C₄	—	17	1	no	—
1052	C₂²×C₄	—	17	1	no	—
1053	C₂²×C₄	—	17	1	no	—
1054	C₂²×C₄	—	17	1	no	—
1055	C₂²×C₄	—	34	2	no	—
1056	C₂²×C₄	—	34	2	no	—
1057	C₂²×C₄	—	34	2	no	—
1058	C₂²×C₄	—	68	1	no	—
1059	C₂²×C₄	—	68	1	no	—
1060	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	17	4	no	—
1082	C₄⋊C₄	—	17	4	no	—
1083	C₄⋊C₄	—	17	4	no	—
1084	C₄⋊C₄	—	17	4	no	—
1085	C₄⋊C₄	—	17	4	no	—
1086	C₄⋊C₄	—	17	4	no	—
1087	C₄⋊C₄	—	17	4	no	—
1088	C₄⋊C₄	—	17	4	no	—
1089	C₄⋊C₄	—	17	4	no	—
1090	C₄⋊C₄	—	17	4	no	—
1091	C₄⋊C₄	—	17	4	no	—
1092	C₄⋊C₄	—	17	4	no	—
1093	C₄⋊C₄	—	17	4	no	—
1094	C₄⋊C₄	—	17	4	no	—
1095	C₄⋊C₄	—	17	4	no	—
1096	C₄⋊C₄	—	17	4	no	—
1097	C₄⋊C₄	—	17	4	no	—
1098	C₄⋊C₄	—	34	2	no	—
1099	C₄⋊C₄	—	34	2	no	—
1100	C₄⋊C₄	—	34	2	no	—
1101	C₄⋊C₄	—	34	2	no	—
1102	C₄⋊C₄	—	34	2	no	—
1103	C₄⋊C₄	—	34	2	no	—
1104	C₄⋊C₄	—	34	2	no	—
1105	C₄⋊C₄	—	34	2	no	—
1106	C₄⋊C₄	—	34	2	no	—
1107	C₄⋊C₄	—	34	2	no	—
1108	C₄⋊C₄	—	68	1	no	—
1109	C₄⋊C₄	—	68	1	no	—
1110	C₄⋊C₄	—	68	1	no	—
1111	C₄⋊C₄	—	68	1	no	—
1112	C₄⋊C₄	—	68	1	no	—
1113	C₄⋊C₄	—	68	1	no	—
1114	C₄⋊C₄	—	68	1	no	—
1115	C₄⋊C₄	—	68	1	no	—
1116	C₄⋊C₄	—	68	1	no	—
1117	C₄⋊C₄	—	68	1	no	—
1118	C₄⋊C₄	—	68	1	no	—
1119	C₄⋊C₄	—	68	1	no	—
1120	C₄⋊C₄	—	68	1	no	—
1121	C₄⋊C₄	—	68	1	no	—
1122	C₄⋊C₄	—	68	1	no	—
1123	C₄⋊C₄	—	68	1	no	—
1124	C₄⋊C₄	—	68	1	no	—
1125	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1126	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1127	C₄⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	17	4	no	—
1132	C₂²⋊C₄	—	17	4	no	—
1133	C₂²⋊C₄	—	17	4	no	—
1134	C₂²⋊C₄	—	68	1	no	—
1135	C₂²⋊C₄	—	68	1	no	—
1136	C₂²⋊C₄	—	68	1	no	—
1137	C₂²⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1138	C₂²⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1139	C₂²⋊C₄	C₂×C₄×D₁₇	1	4	yes	—
1140	C₄²	—	4	1	no	—
1141	C₄²	—	4	1	no	—
1142	C₄²	—	4	1	no	—
1143	C₄²	—	4	1	no	—
1144	C₄²	—	4	1	no	—
1145	C₄²	—	17	4	no	—
1146	C₄²	—	17	4	no	—
1147	C₄²	—	17	4	no	—
1148	C₄²	—	17	4	no	—
1149	C₄²	—	17	4	no	—
1150	C₄²	—	34	2	no	—
1151	C₄²	—	34	2	no	—
1152	C₄²	—	34	2	no	—
1153	C₄²	—	34	2	no	—
1154	C₄²	—	68	1	no	—
1155	C₄²	—	68	1	no	—
1156	C₄²	—	68	1	no	—
1157	C₄²	—	68	1	no	—
1158	C₄²	—	68	1	no	—
1159	C₄²	—	68	1	no	—
1160	C₄²	—	68	1	no	—
1161	C₄²	—	68	1	no	—
1162	C₄²	—	68	1	no	—
1163	C₄²	—	68	1	no	—
1164	C₄²	—	68	1	no	—
1165	C₄²	—	68	1	no	—
1166	C₄²	—	68	1	no	—
1167	C₄²	—	68	1	no	—
1168	C₄²	—	68	1	no	—
1169	C₄²	—	68	1	no	—
1170	C₄²	—	68	1	no	—
1171	C₄²	C₂×C₄×D₁₇	1	4	yes	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	C₂²×C₄×D₁₇	1	2	yes	—
1179	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1180	Q₈	—	34	8	no	—
1181	Q₈	—	34	8	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	4	4	no	—
1218	C₂×C₄	—	17	2	no	—
1219	C₂×C₄	—	17	2	no	—
1220	C₂×C₄	—	17	2	no	—
1221	C₂×C₄	—	17	2	no	—
1222	C₂×C₄	—	17	2	no	—
1223	C₂×C₄	—	17	2	no	—
1224	C₂×C₄	—	17	2	no	—
1225	C₂×C₄	—	17	2	no	—
1226	C₂×C₄	—	17	2	no	—
1227	C₂×C₄	—	17	2	no	—
1228	C₂×C₄	—	17	2	no	—
1229	C₂×C₄	—	34	8	no	—
1230	C₂×C₄	—	34	1	no	—
1231	C₂×C₄	—	34	1	no	—
1232	C₂×C₄	—	34	1	no	—
1233	C₂×C₄	—	34	1	no	—
1234	C₂×C₄	—	34	1	no	—
1235	C₂×C₄	—	34	1	no	—
1236	C₂×C₄	—	34	1	no	—
1237	C₂×C₄	—	34	1	no	—
1238	C₂×C₄	—	34	1	no	—
1239	C₂×C₄	—	34	1	no	—
1240	C₂×C₄	—	34	1	no	—
1241	C₂×C₄	—	34	1	no	—
1242	C₂×C₄	—	34	1	no	—
1243	C₂×C₄	—	34	1	no	—
1244	C₂×C₄	—	34	1	no	—
1245	C₂×C₄	—	34	1	no	—
1246	C₂×C₄	—	34	1	no	—
1247	C₂×C₄	—	34	1	no	—
1248	C₂×C₄	—	34	1	no	—
1249	C₂×C₄	—	34	1	no	—
1250	C₂×C₄	—	34	1	no	—
1251	C₂×C₄	—	34	1	no	—
1252	C₂×C₄	—	34	1	no	—
1253	C₂×C₄	—	34	1	no	—
1254	C₂×C₄	—	34	1	no	—
1255	C₂×C₄	—	34	1	no	—
1256	C₂×C₄	—	34	1	no	—
1257	C₂×C₄	—	34	1	no	—
1258	C₂×C₄	—	34	1	no	—
1259	C₂×C₄	—	34	1	no	—
1260	C₂×C₄	—	34	1	no	—
1261	C₂×C₄	—	34	1	no	—
1262	C₂×C₄	—	34	1	no	—
1263	C₂×C₄	—	34	1	no	—
1264	C₂×C₄	—	34	1	no	—
1265	C₂×C₄	—	34	1	no	—
1266	C₂×C₄	—	34	1	no	—
1267	C₂×C₄	—	68	4	no	—
1268	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1269	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1270	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1271	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1272	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1273	C₂×C₄	C₂²×C₄×D₁₇	1	2	yes	—
1274	C₂×C₄	#10587697	1	2	yes	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	C₂³×C₄×D₁₇	1	1	yes	characteristic
1283	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1284	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1285	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1286	C₂²	C₂×#10587697	1	1	yes	characteristic
1287	C₂²	#11763644	1	1	yes	characteristic
1288	C₂²	#11763645	1	1	yes	characteristic
1289	C₄	—	2	2	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	17	4	no	—
1304	C₄	—	34	2	no	—
1305	C₄	—	34	2	no	—
1306	C₄	—	34	2	no	—
1307	C₄	—	34	2	no	—
1308	C₄	—	34	2	no	—
1309	C₄	—	34	2	no	—
1310	C₄	—	34	2	no	—
1311	C₄	—	34	2	no	—
1312	C₄	—	68	1	no	—
1313	C₄	—	68	1	no	—
1314	C₄	—	68	1	no	—
1315	C₄	—	68	1	no	—
1316	C₄	—	68	1	no	—
1317	C₄	—	68	1	no	—
1318	C₄	—	68	1	no	—
1319	C₂	—	4	2	no	—
1320	C₂	D₁₇×#520	1	1	yes	characteristic
1321	C₂	C₄×#10587697	1	1	yes	characteristic
1322	C₂	#14541995	1	1	yes	characteristic
1323	C₂	#14543072	1	1	yes	characteristic
1324	C₂	#14543076	1	1	yes	characteristic
1325	C₂	#14543277	1	1	yes	characteristic
1326	C₂	#14543282	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₁₇×#2334	C₂
socle, cosocle	C₂³×C₁₇	C₂⁵
prime radical	C₂⁴×C₁₇	C₂⁴
hypercenter	#2334	D₁₇
hypocenter	C₁₇	#34421
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. #14531969	C₂	semidirect
3. #14531968	C₂	semidirect
4. #14531967	C₂	semidirect
5. #14531966	C₂	semidirect
6. #14531883	C₂	semidirect
7. #14531881	C₂	semidirect
8. #14531880	C₂	semidirect
9. #14531879	C₂	semidirect
10. #14531877	C₂	semidirect
11. #14531875	C₂	semidirect
12. #14531843	C₂	semidirect
13. #14531839	C₂	semidirect
14. #14531738	C₂	semidirect
15. #14531736	C₂	semidirect
16. #14531704	C₂	semidirect
17. #14531703	C₂	semidirect
32. #11763416	C₄	semidirect
293. #10587576	C₂×C₄	semidirect
294. #10587575	C₂×C₄	semidirect
295. #10587575	C₂×C₄	semidirect
296. #10587575	C₂×C₄	semidirect
297. #10587574	C₂×C₄	semidirect
299. #10587573	C₂×C₄	semidirect
307. #10587556	C₂×C₄	semidirect
311. C₄×Dic₃₄	C₂×C₄	semidirect
1027. C₁₇	#34421	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11763416	2
#14531969	2
#14531968	2
#14531967	2
#14531966	2
#14531883	2
#14531881	2
#14531880	2
#14531879	2
#14531877	2
#14531875	2
#14531843	2
#14531839	2
#14531738	2
#14531736	2
#14531704	2
#14531703	2
#14531563	2
#14531561	2
#14531557	2
#14531556	2
#14531554	2
#14531463	2
#14531388	2
#14531316	2
C₄×#10587564	2
#14531263	2
C₁₇×#2334	2
#34421	17