Subgroups — #17243270

Order 4352.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537096	C₂	1	1	yes	maximal, characteristic, complemented
2	#14537093	C₂	1	1	yes	maximal, characteristic, complemented
3	#14536759	C₂	1	1	yes	maximal, characteristic, complemented
4	#14536649	C₂	1	1	yes	maximal, characteristic, complemented
5	#14536620	C₂	1	1	yes	maximal, characteristic, complemented
6	#14536610	C₂	1	1	yes	maximal, characteristic, complemented
7	#14536598	C₂	1	1	yes	maximal, characteristic, complemented
8	#14536491	C₂	1	1	yes	maximal, characteristic, complemented
9	#14536472	C₂	1	1	yes	maximal, characteristic, complemented
10	#14536465	C₂	1	1	yes	maximal, characteristic, complemented
11	#14536440	C₂	1	1	yes	maximal, characteristic, complemented
12	#14536391	C₂	1	1	yes	maximal, characteristic, complemented
13	#14536357	C₂	1	1	yes	maximal, characteristic, complemented
14	#14536322	C₂	1	1	yes	maximal, characteristic, complemented
15	#14535675	C₂	1	1	yes	maximal, characteristic, complemented
16	#14535628	C₂	1	1	yes	maximal, characteristic, complemented
17	#14535311	C₂	1	1	yes	maximal, characteristic, complemented
18	#14534594	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534556	C₂	1	1	yes	maximal, characteristic
20	#14533290	C₂	1	1	yes	maximal, characteristic, complemented
21	#14533221	C₂	1	1	yes	maximal, characteristic, complemented
22	#14533059	C₂	1	1	yes	maximal, characteristic, complemented
23	#14533026	C₂	1	1	yes	maximal, characteristic, complemented
24	#14532603	C₂	1	1	yes	maximal, characteristic, complemented
25	#14532467	C₂	1	1	yes	maximal, characteristic, complemented
26	#14532241	C₂	1	1	yes	maximal, characteristic
27	#14532166	C₂	1	1	yes	maximal, characteristic
28	#14531454	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531406	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₇×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2727	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587576	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10587572	C₂²	1	1	yes	characteristic
34	C₂×#10587569	C₂²	1	1	yes	characteristic
35	C₂×#10587582	C₂²	1	1	yes	characteristic
36	C₂×#10587623	C₂²	1	1	yes	characteristic
37	C₂×#10587567	C₂²	1	1	yes	characteristic
38	C₂×#10587578	C₂²	1	1	yes	characteristic
39	C₂×#10587558	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₁₇	C₂²	1	1	yes	characteristic
45	#11762750	C₂²	1	1	yes	characteristic, complemented
46	#11762748	C₂²	1	1	yes	characteristic, complemented
47	#11762748	C₂²	1	1	yes	characteristic, complemented
48	#11762747	C₂²	1	1	yes	characteristic, complemented
49	#11762747	C₂²	1	1	yes	characteristic, complemented
50	#11762747	C₂²	1	1	yes	characteristic, complemented
51	#11762745	C₂²	1	1	yes	characteristic
52	#11762745	C₂²	1	1	yes	characteristic
53	#11762744	C₂²	1	1	yes	characteristic
54	#11762744	C₂²	1	1	yes	characteristic
55	#11762742	C₂²	1	1	yes	characteristic, complemented
56	#11762741	C₂²	1	1	yes	characteristic, complemented
57	#11762740	C₂²	1	1	yes	characteristic, complemented
58	#11762740	C₂²	1	1	yes	characteristic, complemented
59	#11762739	C₂²	1	1	yes	characteristic, complemented
60	#11762738	C₂²	1	1	yes	characteristic
61	#11762738	C₂²	1	1	yes	characteristic
62	#11762737	C₂²	1	1	yes	characteristic
63	#11762737	C₂²	1	1	yes	characteristic
64	#11762737	C₂²	1	1	yes	characteristic
65	#11762736	C₂²	1	1	yes	characteristic
66	#11762735	C₂²	1	1	yes	characteristic
67	#11762735	C₂²	1	1	yes	characteristic
68	#11762734	C₂²	1	1	yes	characteristic
69	#11762734	C₂²	1	1	yes	characteristic
70	#11762734	C₂²	1	1	yes	characteristic, complemented
71	#11762732	C₂²	1	1	yes	characteristic
72	#11762732	C₂²	1	1	yes	characteristic
73	#11762731	C₂²	1	1	yes	characteristic
74	#11762731	C₂²	1	1	yes	characteristic
75	#11762731	C₂²	1	1	yes	characteristic
76	#11762731	C₂²	1	1	yes	characteristic
77	#11762729	C₂²	1	1	yes	characteristic, complemented
78	#11762725	C₂²	1	1	yes	characteristic
79	#11762724	C₂²	1	1	yes	characteristic
80	#11762724	C₂²	1	1	yes	characteristic
81	#11762724	C₂²	1	1	yes	characteristic
82	#11762723	C₂²	1	1	yes	characteristic
83	#11762723	C₂²	1	1	yes	characteristic
84	#11762722	C₂²	1	1	yes	characteristic
85	#11762721	C₂²	1	1	yes	characteristic
86	#11762721	C₂²	1	1	yes	characteristic, complemented
87	#11762714	C₂²	1	1	yes	characteristic, complemented
88	#11762713	C₂²	1	1	yes	characteristic, complemented
89	#11762709	C₂²	1	1	yes	characteristic
90	#11762708	C₂²	1	1	yes	characteristic, complemented
91	#11762707	C₂²	1	1	yes	characteristic, complemented
92	#11762707	C₂²	1	1	yes	characteristic, complemented
93	#11762707	C₂²	1	1	yes	characteristic, complemented
94	#11762705	C₂²	1	1	yes	characteristic, complemented
95	#11762704	C₂²	1	1	yes	characteristic, complemented
96	#11762703	C₂²	1	1	yes	characteristic
97	#11762703	C₂²	1	1	yes	characteristic
98	#11762703	C₂²	1	1	yes	characteristic
99	#11762703	C₂²	1	1	yes	characteristic
100	#11762703	C₂²	1	1	yes	characteristic, complemented
101	#11762702	C₂²	1	1	yes	characteristic
102	#11762702	C₂²	1	1	yes	characteristic
103	#11762702	C₂²	1	1	yes	characteristic
104	#11762702	C₂²	1	1	yes	characteristic, complemented
105	#11762702	C₂²	1	1	yes	characteristic, complemented
106	#11762701	C₂²	1	1	yes	characteristic
107	#11762700	C₂²	1	1	yes	characteristic
108	#11762700	C₂²	1	1	yes	characteristic
109	#11762700	C₂²	1	1	yes	characteristic
110	#11762699	C₂²	1	1	yes	characteristic
111	#11762699	C₂²	1	1	yes	characteristic
112	#11762699	C₂²	1	1	yes	characteristic
113	#11762699	C₂²	1	1	yes	characteristic
114	#11762699	C₂²	1	1	yes	characteristic
115	#11762698	C₂²	1	1	yes	characteristic
116	#11762697	C₂²	1	1	yes	characteristic
117	#11762697	C₂²	1	1	yes	characteristic, complemented
118	#11762697	C₂²	1	1	yes	characteristic, complemented
119	#11762697	C₂²	1	1	yes	characteristic, complemented
120	#11762696	C₂²	1	1	yes	characteristic, complemented
121	#11762695	C₂²	1	1	yes	characteristic, complemented
122	#11762695	C₂²	1	1	yes	characteristic, complemented
123	#11762695	C₂²	1	1	yes	characteristic, complemented
124	#11762695	C₂²	1	1	yes	characteristic, complemented
125	#11762694	C₂²	1	1	yes	characteristic, complemented
126	#11762693	C₂²	1	1	yes	characteristic, complemented
127	#11762693	C₂²	1	1	yes	characteristic, complemented
128	#11762692	C₂²	1	1	yes	characteristic, complemented
129	#11762692	C₂²	1	1	yes	characteristic, complemented
130	#11762691	C₂²	1	1	yes	characteristic, complemented
131	#11762691	C₂²	1	1	yes	characteristic, complemented
132	#11762690	C₂²	1	1	yes	characteristic, complemented
133	#11762690	C₂²	1	1	yes	characteristic, complemented
134	#11762690	C₂²	1	1	yes	characteristic, complemented
135	#11762690	C₂²	1	1	yes	characteristic, complemented
136	#11762689	C₂²	1	1	yes	characteristic
137	#11762685	C₂²	1	1	yes	characteristic
138	#11762685	C₂²	1	1	yes	characteristic
139	#11762685	C₂²	1	1	yes	characteristic
140	#11762685	C₂²	1	1	yes	characteristic
141	#11762684	C₂²	1	1	yes	characteristic, complemented
142	#11762683	C₂²	1	1	yes	characteristic
143	#11762683	C₂²	1	1	yes	characteristic
144	#11762683	C₂²	1	1	yes	characteristic
145	#11762681	C₂²	1	1	yes	characteristic, complemented
146	#11762681	C₂²	1	1	yes	characteristic, complemented
147	#11762680	C₂²	1	1	yes	characteristic
148	#11762680	C₂²	1	1	yes	characteristic
149	#11762680	C₂²	1	1	yes	characteristic
150	#11762680	C₂²	1	1	yes	characteristic
151	#11762680	C₂²	1	1	yes	characteristic
152	#11762680	C₂²	1	1	yes	characteristic
153	#11762680	C₂²	1	1	yes	characteristic
154	#11762678	C₂²	1	1	yes	characteristic, complemented
155	#11762678	C₂²	1	1	yes	characteristic, complemented
156	#11762677	C₂²	1	1	yes	characteristic, complemented
157	#11762674	C₂²	1	1	yes	characteristic, complemented
158	#11762673	C₂²	1	1	yes	characteristic, complemented
159	#11762673	C₂²	1	1	yes	characteristic, complemented
160	#11762673	C₂²	1	1	yes	characteristic, complemented
161	#11762671	C₂²	1	1	yes	characteristic
162	#11762667	C₂²	1	1	yes	characteristic, complemented
163	#11762666	C₂²	1	1	yes	characteristic
164	#11762666	C₂²	1	1	yes	characteristic
165	#11762666	C₂²	1	1	yes	characteristic
166	#11762664	C₂²	1	1	yes	characteristic
167	#11762664	C₂²	1	1	yes	characteristic
168	#11762664	C₂²	1	1	yes	characteristic
169	C₄×#63227	C₂²	1	1	yes	characteristic
170	#95×D₁₇	C₂²	1	1	yes	characteristic
171	#95×D₁₇	C₂²	1	1	yes	characteristic
172	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
173	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic, complemented
174	C₁₇×#399	C₂²	1	1	yes	characteristic
175	C₁₇×#399	C₂²	1	1	yes	characteristic, complemented
176	C₁₇×#396	C₂²	1	1	yes	characteristic
177	C₁₇×#396	C₂²	1	1	yes	characteristic, complemented
178	C₁₇×#394	C₂²	1	1	yes	characteristic
179	C₁₇×#394	C₂²	1	1	yes	characteristic
180	C₁₇×#390	C₂²	1	1	yes	characteristic
181	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
182	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
183	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
184	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
185	C₁₇×#388	C₂²	1	1	yes	characteristic
186	C₁₇×#388	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₇	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
198	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
199	C₁₇×#126	—	4	2	no	—
200	C₁₇×#126	—	4	2	no	—
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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊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×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₇	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	#10587623	—	4	2	no	—
242	C₂×#63227	C₂³	1	1	yes	characteristic
243	C₂×#63227	C₂³	1	1	yes	characteristic
244	C₂×#63227	C₂³	1	1	yes	characteristic
245	C₂×#63227	C₂³	1	1	yes	characteristic
246	C₂×#63227	C₂³	1	1	yes	characteristic
247	C₂×#63227	C₂³	1	1	yes	characteristic
248	C₂×#63227	C₂³	1	1	yes	characteristic
249	C₂×#63227	C₂³	1	1	yes	characteristic
250	C₂×#63227	C₂³	1	1	yes	characteristic
251	C₂×#63227	C₂³	1	1	yes	characteristic
252	C₂×#63227	C₂³	1	1	yes	characteristic
253	C₂×#63227	C₂³	1	1	yes	characteristic
254	C₂×#63227	C₂³	1	1	yes	characteristic
255	C₂×#63227	C₂³	1	1	yes	characteristic
256	C₂×#63227	C₂³	1	1	yes	characteristic
257	C₂×#63227	C₂³	1	1	yes	characteristic
258	C₂×#63227	C₂³	1	1	yes	characteristic
259	C₂×#63227	C₂³	1	1	yes	characteristic
260	C₂×#63227	C₂³	1	1	yes	characteristic
261	C₂×#63227	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
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×#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×#63225	C₂³	1	1	yes	characteristic
286	C₂×#63225	C₂³	1	1	yes	characteristic
287	C₂×#63225	C₂³	1	1	yes	characteristic
288	C₂×#63225	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	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
297	#10587582	—	4	2	no	—
298	#10587578	—	2	4	no	—
299	C₄⋊C₄×D₁₇	—	4	2	no	—
300	#10587576	—	4	2	no	—
301	#10587572	—	4	2	no	—
302	#10587569	—	2	4	no	—
303	#10587567	—	4	2	no	—
304	C₂²⋊C₄×D₁₇	—	2	4	no	—
305	C₂²⋊C₄×D₁₇	—	4	2	no	—
306	C₂²⋊C₄×D₁₇	—	4	2	no	—
307	#10587558	—	4	2	no	—
308	C₄²×D₁₇	—	4	2	no	—
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	C₁₇×#95	C₂³	1	1	yes	characteristic
314	C₁₇×#95	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	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₇	—	2	2	no	—
360	C₂³×D₁₇	—	2	2	no	—
361	C₂³×D₁₇	—	2	2	no	—
362	C₂³×D₁₇	—	4	1	no	—
363	C₂³×D₁₇	—	4	1	no	—
364	C₂³×D₁₇	—	4	1	no	—
365	C₂³×D₁₇	—	4	1	no	—
366	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₁₇	—	4	1	no	—
369	C₂×D₄×C₁₇	—	4	1	no	—
370	C₂×D₄×C₁₇	—	4	1	no	—
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×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₇	—	2	2	no	—
385	C₂×C₂²⋊D₁₇	—	2	2	no	—
386	C₂×C₂²⋊D₁₇	—	2	2	no	—
387	C₂×C₂²⋊D₁₇	—	4	1	no	—
388	C₂×C₂²⋊D₁₇	—	4	1	no	—
389	C₂×C₂²⋊D₁₇	—	4	1	no	—
390	C₂²×Dic₁₇	—	4	1	no	—
391	C₂²×Dic₁₇	—	4	1	no	—
392	C₂²×Dic₁₇	—	4	1	no	—
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	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×D₁₇	—	2	2	no	—
408	C₂×C₄×D₁₇	—	2	2	no	—
409	C₂×C₄×D₁₇	—	2	2	no	—
410	C₂×C₄×D₁₇	—	2	2	no	—
411	C₂×C₄×D₁₇	—	2	2	no	—
412	C₂×C₄×D₁₇	—	2	2	no	—
413	C₂×C₄×D₁₇	—	2	2	no	—
414	C₂×C₄×D₁₇	—	2	2	no	—
415	C₂×C₄×D₁₇	—	4	1	no	—
416	C₂×C₄×D₁₇	—	4	1	no	—
417	C₂×C₄×D₁₇	—	4	1	no	—
418	C₂×C₄×D₁₇	—	4	1	no	—
419	C₂×C₄×D₁₇	—	4	1	no	—
420	C₂×C₄×D₁₇	—	4	1	no	—
421	C₂×C₄×D₁₇	—	4	1	no	—
422	C₂×C₄×D₁₇	—	4	1	no	—
423	C₂×C₄×D₁₇	—	4	1	no	—
424	C₂×C₄×D₁₇	#41	1	4	yes	—
425	C₂×Dic₃₄	—	4	1	no	—
426	C₂×Dic₃₄	—	4	1	no	—
427	C₂×Dic₃₄	—	4	1	no	—
428	C₄⋊C₄×C₁₇	—	2	2	no	—
429	C₄⋊C₄×C₁₇	—	2	2	no	—
430	C₄⋊C₄×C₁₇	—	2	2	no	—
431	C₄⋊C₄×C₁₇	—	4	1	no	—
432	C₄⋊C₄×C₁₇	—	4	1	no	—
433	C₄⋊C₄×C₁₇	—	4	1	no	—
434	C₄⋊C₄×C₁₇	—	4	1	no	—
435	C₄⋊C₄×C₁₇	—	4	1	no	—
436	C₄⋊C₄×C₁₇	—	4	1	no	—
437	C₄⋊C₄×C₁₇	—	4	1	no	—
438	C₄⋊C₄×C₁₇	—	4	1	no	—
439	C₄⋊C₄×C₁₇	—	4	1	no	—
440	C₄⋊C₄×C₁₇	—	4	1	no	—
441	C₂²⋊C₄×C₁₇	—	2	2	no	—
442	C₂²⋊C₄×C₁₇	—	2	2	no	—
443	C₂²⋊C₄×C₁₇	—	2	2	no	—
444	C₂²⋊C₄×C₁₇	—	2	2	no	—
445	C₂²⋊C₄×C₁₇	—	4	1	no	—
446	C₂²⋊C₄×C₁₇	—	4	1	no	—
447	C₂²⋊C₄×C₁₇	—	4	1	no	—
448	C₂²⋊C₄×C₁₇	—	4	1	no	—
449	C₂²⋊C₄×C₁₇	—	4	1	no	—
450	C₂²⋊C₄×C₁₇	—	4	1	no	—
451	C₂²⋊C₄×C₁₇	—	4	1	no	—
452	C₂²⋊C₄×C₁₇	—	4	1	no	—
453	C₄²×C₁₇	—	2	2	no	—
454	C₄²×C₁₇	—	4	1	no	—
455	C₄²×C₁₇	—	4	1	no	—
456	C₂²⋊Dic₁₇	—	2	2	no	—
457	C₂²⋊Dic₁₇	—	2	2	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	C₂²⋊Dic₁₇	—	4	1	no	—
464	C₂²⋊Dic₁₇	—	4	1	no	—
465	C₂²⋊Dic₁₇	—	4	1	no	—
466	C₂²⋊Dic₁₇	—	4	1	no	—
467	C₂²⋊Dic₁₇	—	4	1	no	—
468	#63227	—	2	2	no	—
469	#63227	—	2	2	no	—
470	#63227	—	2	2	no	—
471	#63227	—	2	2	no	—
472	#63227	—	2	2	no	—
473	#63227	—	2	2	no	—
474	#63227	—	2	2	no	—
475	#63227	—	2	2	no	—
476	#63227	—	2	2	no	—
477	#63227	—	2	2	no	—
478	#63227	—	4	1	no	—
479	#63227	—	4	1	no	—
480	#63227	—	4	1	no	—
481	#63227	—	4	1	no	—
482	#63227	—	4	1	no	—
483	#63227	—	4	1	no	—
484	#63227	—	4	1	no	—
485	#63227	—	4	1	no	—
486	#63227	—	4	1	no	—
487	#63227	—	4	1	no	—
488	C₄⋊Dic₁₇	—	2	2	no	—
489	C₄⋊Dic₁₇	—	2	2	no	—
490	C₄⋊Dic₁₇	—	2	2	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	#63225	—	2	2	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	#63225	—	4	1	no	—
504	#63225	—	4	1	no	—
505	#63225	—	4	1	no	—
506	#63225	—	4	1	no	—
507	#63225	—	4	1	no	—
508	#63225	—	4	1	no	—
509	#63225	—	4	1	no	—
510	#63225	—	4	1	no	—
511	#63225	—	4	1	no	—
512	#63225	—	4	1	no	—
513	#63225	—	4	1	no	—
514	#63225	—	4	1	no	—
515	C₄×Dic₁₇	—	2	2	no	—
516	C₄×Dic₁₇	—	2	2	no	—
517	C₄×Dic₁₇	—	2	2	no	—
518	C₄×Dic₁₇	—	4	1	no	—
519	C₄×Dic₁₇	—	4	1	no	—
520	C₄×Dic₁₇	—	4	1	no	—
521	C₄×Dic₁₇	—	4	1	no	—
522	C₄×Dic₁₇	—	4	1	no	—
523	#36796	—	17	1	no	maximal, Sylow
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	—	2	1	no	—
533	C₂³×C₁₇	—	2	1	no	—
534	C₂³×C₁₇	—	2	1	no	—
535	C₂³×C₁₇	—	2	1	no	—
536	C₂³×C₁₇	—	2	1	no	—
537	C₂³×C₁₇	—	2	1	no	—
538	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
539	C₂²×D₁₇	—	2	1	no	—
540	C₂²×D₁₇	—	2	1	no	—
541	C₂²×D₁₇	—	2	1	no	—
542	C₂²×D₁₇	—	2	1	no	—
543	C₂²×D₁₇	—	2	1	no	—
544	C₂²×D₁₇	—	2	1	no	—
545	C₂²×D₁₇	—	2	1	no	—
546	C₂²×D₁₇	—	2	1	no	—
547	C₂²×D₁₇	—	2	1	no	—
548	C₂²×D₁₇	—	2	1	no	—
549	C₂²×D₁₇	—	2	1	no	—
550	C₂²×D₁₇	—	4	4	no	—
551	C₂²×D₁₇	—	4	4	no	—
552	C₂²×D₁₇	—	4	4	no	—
553	C₂²×D₁₇	—	8	2	no	—
554	C₂²×D₁₇	—	8	2	no	—
555	C₂²×D₁₇	—	8	2	no	—
556	C₂²×D₁₇	—	8	2	no	—
557	C₂²×D₁₇	C₂×#41	1	2	yes	—
558	C₂²×D₁₇	H(5,𝔽₂)	1	2	yes	—
559	C₂²×D₁₇	2₋¹⁺⁴	1	2	yes	—
560	D₄×C₁₇	—	8	2	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	—	2	1	no	—
579	C₂×C₄×C₁₇	—	2	1	no	—
580	C₂×C₄×C₁₇	—	2	1	no	—
581	C₂×C₄×C₁₇	—	2	1	no	—
582	C₂×C₄×C₁₇	—	2	1	no	—
583	C₂×C₄×C₁₇	—	2	1	no	—
584	C₂×C₄×C₁₇	—	2	1	no	—
585	C₂×C₄×C₁₇	—	2	1	no	—
586	C₂×C₄×C₁₇	—	2	1	no	—
587	C₂×C₄×C₁₇	—	2	1	no	—
588	C₂×C₄×C₁₇	—	2	1	no	—
589	C₂×C₄×C₁₇	—	2	1	no	—
590	C₂×C₄×C₁₇	—	2	1	no	—
591	C₂×C₄×C₁₇	—	2	1	no	—
592	C₂×C₄×C₁₇	—	2	1	no	—
593	C₂×C₄×C₁₇	—	2	1	no	—
594	C₂×C₄×C₁₇	—	2	1	no	—
595	C₂×C₄×C₁₇	—	2	1	no	—
596	C₂×C₄×C₁₇	—	2	1	no	—
597	C₂×C₄×C₁₇	—	2	1	no	—
598	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
599	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
600	C₂²⋊D₁₇	—	4	4	no	—
601	C₂²⋊D₁₇	—	8	2	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	—	2	1	no	—
627	C₂×Dic₁₇	—	2	1	no	—
628	C₂×Dic₁₇	—	2	1	no	—
629	C₂×Dic₁₇	—	2	1	no	—
630	C₂×Dic₁₇	—	2	1	no	—
631	C₂×Dic₁₇	—	2	1	no	—
632	C₂×Dic₁₇	—	2	1	no	—
633	C₂×Dic₁₇	—	2	1	no	—
634	C₂×Dic₁₇	—	2	1	no	—
635	C₂×Dic₁₇	—	2	1	no	—
636	C₂×Dic₁₇	—	2	1	no	—
637	C₂×Dic₁₇	—	2	1	no	—
638	C₂×Dic₁₇	—	2	1	no	—
639	C₂×Dic₁₇	—	2	1	no	—
640	C₂×Dic₁₇	—	2	1	no	—
641	C₂×Dic₁₇	—	2	1	no	—
642	C₂×Dic₁₇	—	2	1	no	—
643	C₂×Dic₁₇	—	8	2	no	—
644	C₂×Dic₁₇	C₂×#41	1	2	yes	—
645	C₄×D₁₇	—	2	8	no	—
646	C₄×D₁₇	—	4	4	no	—
647	C₄×D₁₇	—	4	4	no	—
648	C₄×D₁₇	—	4	4	no	—
649	C₄×D₁₇	—	8	2	no	—
650	C₄×D₁₇	—	8	2	no	—
651	Dic₃₄	—	8	2	no	—
652	#2852	—	17	1	no	—
653	#2851	—	17	1	no	—
654	#2808	—	17	1	no	—
655	#2798	—	17	1	no	—
656	#2796	—	17	1	no	—
657	#2795	—	17	1	no	—
658	#2793	—	17	1	no	—
659	#2785	—	17	1	no	—
660	#2783	—	17	1	no	—
661	#2783	—	17	1	no	—
662	#2781	—	17	1	no	—
663	#2777	—	17	1	no	—
664	#2775	—	17	1	no	—
665	#2773	—	17	1	no	—
666	#2727	D₁₇	1	1	yes	characteristic, complemented
667	#2721	—	17	1	no	—
668	#2718	—	17	1	no	—
669	#2694	—	17	1	no	—
670	#2626	—	17	1	no	—
671	#2622	—	17	1	no	—
672	#2505	—	17	1	no	—
673	#2498	—	17	1	no	—
674	#2482	—	17	1	no	—
675	#2480	—	17	1	no	—
676	#2450	—	17	1	no	—
677	#2438	—	17	1	no	—
678	#2418	—	17	1	no	—
679	#2411	—	17	1	no	—
680	#2322	—	17	1	no	—
681	#2317	—	17	1	no	—
682	C₂×#388	—	17	1	no	—
683	C₂²×C₁₇	—	4	1	no	—
684	C₂²×C₁₇	—	4	1	no	—
685	C₂²×C₁₇	—	4	1	no	—
686	C₂²×C₁₇	—	4	1	no	—
687	C₂²×C₁₇	—	4	1	no	—
688	C₂²×C₁₇	—	4	1	no	—
689	C₂²×C₁₇	—	4	1	no	—
690	C₂²×C₁₇	—	4	1	no	—
691	C₂²×C₁₇	—	4	1	no	—
692	C₂²×C₁₇	—	4	1	no	—
693	C₂²×C₁₇	—	4	1	no	—
694	C₂²×C₁₇	—	4	1	no	—
695	C₂²×C₁₇	—	4	1	no	—
696	C₂²×C₁₇	—	4	1	no	—
697	C₂²×C₁₇	C₂²×#41	1	1	yes	characteristic
698	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
701	C₂²×C₁₇	#585	1	1	yes	characteristic
702	C₂²×C₁₇	#585	1	1	yes	characteristic
703	C₂²×C₁₇	#585	1	1	yes	characteristic
704	C₂×D₁₇	—	2	2	no	—
705	C₂×D₁₇	—	2	2	no	—
706	C₂×D₁₇	—	2	2	no	—
707	C₂×D₁₇	—	2	2	no	—
708	C₂×D₁₇	—	2	2	no	—
709	C₂×D₁₇	—	2	2	no	—
710	C₂×D₁₇	—	4	1	no	—
711	C₂×D₁₇	—	4	1	no	—
712	C₂×D₁₇	—	4	1	no	—
713	C₂×D₁₇	—	4	1	no	—
714	C₂×D₁₇	—	4	1	no	—
715	C₂×D₁₇	—	4	1	no	—
716	C₂×D₁₇	—	4	1	no	—
717	C₂×D₁₇	—	8	8	no	—
718	C₂×D₁₇	#539	1	4	yes	—
719	C₄×C₁₇	—	2	2	no	—
720	C₄×C₁₇	—	2	2	no	—
721	C₄×C₁₇	—	4	1	no	—
722	C₄×C₁₇	—	4	1	no	—
723	C₄×C₁₇	—	4	1	no	—
724	C₄×C₁₇	—	4	1	no	—
725	C₄×C₁₇	—	4	1	no	—
726	C₄×C₁₇	—	4	1	no	—
727	C₄×C₁₇	—	4	1	no	—
728	C₄×C₁₇	—	4	1	no	—
729	C₄×C₁₇	—	4	1	no	—
730	C₄×C₁₇	—	4	1	no	—
731	C₄×C₁₇	—	4	1	no	—
732	Dic₁₇	—	2	2	no	—
733	Dic₁₇	—	4	1	no	—
734	Dic₁₇	—	4	1	no	—
735	Dic₁₇	—	4	1	no	—
736	Dic₁₇	—	4	1	no	—
737	Dic₁₇	—	4	1	no	—
738	Dic₁₇	—	4	1	no	—
739	Dic₁₇	—	4	1	no	—
740	Dic₁₇	—	4	1	no	—
741	Dic₁₇	—	4	1	no	—
742	Dic₁₇	—	4	1	no	—
743	Dic₁₇	—	4	1	no	—
744	Dic₁₇	—	4	1	no	—
745	Dic₁₇	—	4	1	no	—
746	C₂×#126	C₂×D₁₇	1	1	yes	characteristic
747	C₂×#126	C₂×D₁₇	1	1	yes	characteristic, complemented
748	C₂×#125	—	17	1	no	—
749	C₂×#123	—	17	1	no	—
750	C₂×#123	—	17	1	no	—
751	C₂×C₂²⋊Q₈	—	17	1	no	—
752	C₂×#120	—	17	1	no	—
753	C₂×C₄×D₄	—	17	1	no	—
754	C₂×#117	—	17	1	no	—
755	C₂×#117	—	17	1	no	—
756	C₂²×C₄⋊C₄	—	17	1	no	—
757	C₂²×C₂²⋊C₄	—	17	1	no	—
758	C₂²×C₂²⋊C₄	—	17	1	no	—
759	C₂²×C₂²⋊C₄	—	17	1	no	—
760	C₂²×C₄²	—	17	1	no	—
761	#400	—	17	1	no	—
762	#400	—	17	1	no	—
763	#400	—	17	1	no	—
764	#400	—	17	1	no	—
765	#400	—	17	1	no	—
766	#400	—	17	1	no	—
767	#399	—	17	1	no	—
768	#399	—	17	1	no	—
769	#399	—	17	1	no	—
770	#399	—	17	1	no	—
771	#399	C₂×D₁₇	1	1	yes	characteristic
772	#399	C₂×D₁₇	1	1	yes	characteristic, complemented
773	#398	—	17	1	no	—
774	#398	—	17	1	no	—
775	#398	—	17	1	no	—
776	#398	—	17	1	no	—
777	#398	—	17	1	no	—
778	#397	—	17	1	no	—
779	#397	—	17	1	no	—
780	#397	—	17	1	no	—
781	#397	—	17	1	no	—
782	#397	—	17	1	no	—
783	#397	—	17	1	no	—
784	#397	—	17	1	no	—
785	#397	—	17	1	no	—
786	#397	—	17	1	no	—
787	#397	—	17	1	no	—
788	#397	—	17	1	no	—
789	#396	—	17	1	no	—
790	#396	—	17	1	no	—
791	#396	—	17	1	no	—
792	#396	—	17	1	no	—
793	#396	—	17	1	no	—
794	#396	—	17	1	no	—
795	#396	C₂×D₁₇	1	1	yes	characteristic
796	#396	C₂×D₁₇	1	1	yes	characteristic, complemented
797	#395	—	17	1	no	—
798	#394	—	17	1	no	—
799	#394	—	17	1	no	—
800	#394	—	17	1	no	—
801	#394	—	17	1	no	—
802	#394	—	17	1	no	—
803	#394	—	17	1	no	—
804	#394	C₂×D₁₇	1	1	yes	characteristic
805	#394	C₂×D₁₇	1	1	yes	characteristic
806	#393	—	17	1	no	—
807	#393	—	17	1	no	—
808	#393	—	17	1	no	—
809	#391	—	17	1	no	—
810	#391	—	17	1	no	—
811	#390	—	17	1	no	—
812	#390	C₂×D₁₇	1	1	yes	characteristic
813	#389	—	17	1	no	—
814	#389	—	17	1	no	—
815	#389	—	17	1	no	—
816	#389	—	17	1	no	—
817	#389	—	17	1	no	—
818	#389	—	17	1	no	—
819	#389	C₂×D₁₇	1	1	yes	characteristic, complemented
820	#389	C₂×D₁₇	1	1	yes	characteristic, complemented
821	#389	C₂×D₁₇	1	1	yes	characteristic, complemented
822	#389	C₂×D₁₇	1	1	yes	characteristic, complemented
823	#388	—	17	1	no	—
824	#388	—	17	1	no	—
825	#388	—	17	1	no	—
826	#388	—	17	1	no	—
827	#388	—	17	1	no	—
828	#388	—	17	1	no	—
829	#388	—	17	1	no	—
830	#388	—	17	1	no	—
831	#388	—	17	1	no	—
832	#388	—	17	1	no	—
833	#388	—	17	1	no	—
834	#388	—	17	1	no	—
835	#388	—	17	1	no	—
836	#388	—	17	1	no	—
837	#388	—	17	1	no	—
838	#388	—	17	1	no	—
839	#388	—	17	1	no	—
840	#388	—	17	1	no	—
841	#388	—	17	1	no	—
842	#388	—	17	1	no	—
843	#388	—	17	1	no	—
844	#388	—	17	1	no	—
845	#388	—	17	1	no	—
846	#388	—	17	1	no	—
847	#388	C₂×D₁₇	1	1	yes	characteristic
848	#388	C₂×D₁₇	1	1	yes	characteristic, complemented
849	#387	—	17	1	no	—
850	#387	—	17	1	no	—
851	#387	—	17	1	no	—
852	#387	—	17	1	no	—
853	#387	—	17	1	no	—
854	#387	—	17	1	no	—
855	#387	—	17	1	no	—
856	#387	—	17	1	no	—
857	#387	—	17	1	no	—
858	#387	—	17	1	no	—
859	#387	—	17	1	no	—
860	#387	—	17	1	no	—
861	#387	—	17	1	no	—
862	#387	—	17	1	no	—
863	#387	—	17	1	no	—
864	#387	—	17	1	no	—
865	#386	—	17	1	no	—
866	#386	—	17	1	no	—
867	#386	—	17	1	no	—
868	#386	—	17	1	no	—
869	#386	—	17	1	no	—
870	#385	—	17	1	no	—
871	#385	—	17	1	no	—
872	#385	—	17	1	no	—
873	#385	—	17	1	no	—
874	#385	—	17	1	no	—
875	#385	—	17	1	no	—
876	#385	—	17	1	no	—
877	#385	—	17	1	no	—
878	#385	—	17	1	no	—
879	#385	—	17	1	no	—
880	#385	—	17	1	no	—
881	#385	—	17	1	no	—
882	#385	—	17	1	no	—
883	#384	—	17	1	no	—
884	#384	—	17	1	no	—
885	#383	—	17	1	no	—
886	#382	—	17	1	no	—
887	#382	—	17	1	no	—
888	#382	—	17	1	no	—
889	#382	—	17	1	no	—
890	#381	—	17	1	no	—
891	#380	—	17	1	no	—
892	#380	—	17	1	no	—
893	#380	—	17	1	no	—
894	#380	—	17	1	no	—
895	#379	—	17	1	no	—
896	#379	—	17	1	no	—
897	#379	—	17	1	no	—
898	C₄×C₂²⋊C₄	—	17	1	no	—
899	C₂×#95	—	17	1	no	—
900	C₂×#95	—	17	1	no	—
901	C₂×C₁₇	—	8	1	no	—
902	C₂×C₁₇	—	8	1	no	—
903	C₂×C₁₇	C₂×#539	1	1	yes	characteristic
904	C₂×C₁₇	#3493	1	1	yes	characteristic
905	C₂×C₁₇	#3506	1	1	yes	characteristic
906	C₂×C₁₇	#3535	1	1	yes	characteristic
907	C₂×C₁₇	#3542	1	1	yes	characteristic
908	C₂×C₁₇	#3545	1	1	yes	characteristic
909	C₂×C₁₇	#3564	1	1	yes	characteristic
910	D₁₇	—	2	4	no	—
911	D₁₇	—	8	1	no	—
912	C₂⁵	—	17	1	no	—
913	C₂²×Q₈	—	17	1	no	—
914	C₂²×D₄	—	17	1	no	—
915	C₂²×D₄	—	17	1	no	—
916	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
917	C₂³×C₄	—	17	1	no	—
918	C₂³×C₄	—	17	1	no	—
919	C₂³×C₄	—	17	1	no	—
920	C₂³×C₄	—	17	1	no	—
921	C₂³×C₄	—	17	1	no	—
922	C₂³×C₄	—	17	1	no	—
923	C₂³×C₄	—	17	1	no	—
924	#126	—	4	2	no	—
925	#126	—	4	2	no	—
926	#125	—	68	2	no	—
927	#123	—	34	4	no	—
928	#123	—	68	2	no	—
929	C₂²⋊Q₈	—	68	2	no	—
930	#120	—	68	2	no	—
931	C₄×D₄	—	68	2	no	—
932	#117	—	34	4	no	—
933	#117	—	68	2	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	—	17	1	no	—
948	C₂×C₄⋊C₄	—	17	1	no	—
949	C₂×C₄⋊C₄	—	17	1	no	—
950	C₂×C₄⋊C₄	—	17	1	no	—
951	C₂×C₄⋊C₄	—	17	1	no	—
952	C₂×C₄⋊C₄	—	17	1	no	—
953	C₂×C₄⋊C₄	—	17	1	no	—
954	C₂×C₄⋊C₄	—	17	1	no	—
955	C₂×C₄⋊C₄	—	17	1	no	—
956	C₂×C₄⋊C₄	—	17	1	no	—
957	C₂×C₄⋊C₄	—	17	1	no	—
958	C₂×C₄⋊C₄	—	17	1	no	—
959	C₂×C₄⋊C₄	—	17	1	no	—
960	C₂×C₄⋊C₄	—	17	1	no	—
961	C₂×C₄⋊C₄	—	68	2	no	—
962	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	—	17	1	no	—
976	C₂×C₂²⋊C₄	—	17	1	no	—
977	C₂×C₂²⋊C₄	—	17	1	no	—
978	C₂×C₂²⋊C₄	—	17	1	no	—
979	C₂×C₂²⋊C₄	—	17	1	no	—
980	C₂×C₂²⋊C₄	—	17	1	no	—
981	C₂×C₂²⋊C₄	—	17	1	no	—
982	C₂×C₂²⋊C₄	—	17	1	no	—
983	C₂×C₂²⋊C₄	—	17	1	no	—
984	C₂×C₂²⋊C₄	—	17	1	no	—
985	C₂×C₂²⋊C₄	—	17	1	no	—
986	C₂×C₂²⋊C₄	—	17	1	no	—
987	C₂×C₂²⋊C₄	—	17	1	no	—
988	C₂×C₂²⋊C₄	—	17	1	no	—
989	C₂×C₂²⋊C₄	—	17	1	no	—
990	C₂×C₂²⋊C₄	—	17	1	no	—
991	C₂×C₂²⋊C₄	—	17	1	no	—
992	C₂×C₂²⋊C₄	—	17	1	no	—
993	C₂×C₂²⋊C₄	—	17	1	no	—
994	C₂×C₂²⋊C₄	—	17	1	no	—
995	C₂×C₂²⋊C₄	—	17	1	no	—
996	C₂×C₂²⋊C₄	—	17	1	no	—
997	C₂×C₂²⋊C₄	—	17	1	no	—
998	C₂×C₂²⋊C₄	—	17	1	no	—
999	C₂×C₂²⋊C₄	—	17	1	no	—
1000	C₂×C₂²⋊C₄	—	17	1	no	—
1001	C₂×C₂²⋊C₄	—	17	1	no	—
1002	C₂×C₂²⋊C₄	—	17	1	no	—
1003	C₂×C₂²⋊C₄	—	17	1	no	—
1004	C₂×C₂²⋊C₄	—	17	1	no	—
1005	C₂×C₂²⋊C₄	—	17	1	no	—
1006	C₂×C₂²⋊C₄	—	17	1	no	—
1007	C₂×C₂²⋊C₄	—	34	4	no	—
1008	C₂×C₂²⋊C₄	—	68	2	no	—
1009	C₂×C₂²⋊C₄	—	68	2	no	—
1010	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1022	C₂×C₄²	—	17	1	no	—
1023	C₂×C₄²	—	17	1	no	—
1024	C₂×C₄²	—	17	1	no	—
1025	C₂×C₄²	—	17	1	no	—
1026	C₂×C₄²	—	17	1	no	—
1027	C₂×C₄²	—	17	1	no	—
1028	C₂×C₄²	—	17	1	no	—
1029	C₂×C₄²	—	17	1	no	—
1030	C₂×C₄²	—	68	2	no	—
1031	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1032	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1033	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
1051	#95	—	17	1	no	—
1052	#95	—	17	1	no	—
1053	#95	—	17	1	no	—
1054	#95	—	17	1	no	—
1055	#95	—	17	1	no	—
1056	#95	—	17	1	no	—
1057	#95	—	17	1	no	—
1058	#95	—	17	1	no	—
1059	#95	—	17	1	no	—
1060	#95	—	17	1	no	—
1061	#95	—	17	1	no	—
1062	#95	—	17	1	no	—
1063	#95	—	17	1	no	—
1064	#95	—	17	1	no	—
1065	#95	—	17	1	no	—
1066	#95	—	17	1	no	—
1067	#95	—	17	1	no	—
1068	#95	—	17	1	no	—
1069	#95	—	17	1	no	—
1070	#95	—	17	1	no	—
1071	#95	—	17	1	no	—
1072	#95	—	17	1	no	—
1073	#95	—	17	1	no	—
1074	#95	—	17	1	no	—
1075	#95	—	17	1	no	—
1076	#95	C₂²×D₁₇	1	1	yes	characteristic
1077	#95	C₂²×D₁₇	1	1	yes	characteristic
1078	#95	C₂²×D₁₇	1	1	yes	characteristic
1079	#95	C₂²×D₁₇	1	1	yes	characteristic
1080	#95	C₂²×D₁₇	1	1	yes	characteristic
1081	#95	C₂²×D₁₇	1	1	yes	characteristic
1082	C₁₇	#36796	1	1	yes	characteristic, complemented, Sylow
1083	C₂⁴	—	17	1	no	—
1084	C₂⁴	—	17	1	no	—
1085	C₂⁴	—	34	2	no	—
1086	C₂⁴	—	34	2	no	—
1087	C₂⁴	—	34	2	no	—
1088	C₂⁴	—	68	1	no	—
1089	C₂⁴	—	68	1	no	—
1090	C₂⁴	—	68	1	no	—
1091	C₂⁴	—	68	1	no	—
1092	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1093	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1094	C₂×Q₈	—	68	1	no	—
1095	C₂×Q₈	—	68	1	no	—
1096	C₂×Q₈	—	68	1	no	—
1097	C₂×D₄	—	4	1	no	—
1098	C₂×D₄	—	4	1	no	—
1099	C₂×D₄	—	4	1	no	—
1100	C₂×D₄	—	34	2	no	—
1101	C₂×D₄	—	34	2	no	—
1102	C₂×D₄	—	34	2	no	—
1103	C₂×D₄	—	68	1	no	—
1104	C₂×D₄	—	68	1	no	—
1105	C₂×D₄	—	68	1	no	—
1106	C₂²×C₄	—	17	1	no	—
1107	C₂²×C₄	—	17	4	no	—
1108	C₂²×C₄	—	17	1	no	—
1109	C₂²×C₄	—	17	1	no	—
1110	C₂²×C₄	—	17	1	no	—
1111	C₂²×C₄	—	17	1	no	—
1112	C₂²×C₄	—	17	1	no	—
1113	C₂²×C₄	—	17	1	no	—
1114	C₂²×C₄	—	17	1	no	—
1115	C₂²×C₄	—	17	1	no	—
1116	C₂²×C₄	—	17	1	no	—
1117	C₂²×C₄	—	17	1	no	—
1118	C₂²×C₄	—	17	1	no	—
1119	C₂²×C₄	—	17	1	no	—
1120	C₂²×C₄	—	17	1	no	—
1121	C₂²×C₄	—	34	2	no	—
1122	C₂²×C₄	—	34	2	no	—
1123	C₂²×C₄	—	34	2	no	—
1124	C₂²×C₄	—	34	2	no	—
1125	C₂²×C₄	—	34	2	no	—
1126	C₂²×C₄	—	34	2	no	—
1127	C₂²×C₄	—	34	2	no	—
1128	C₂²×C₄	—	34	2	no	—
1129	C₂²×C₄	—	68	1	no	—
1130	C₂²×C₄	—	68	1	no	—
1131	C₂²×C₄	—	68	1	no	—
1132	C₂²×C₄	—	68	1	no	—
1133	C₂²×C₄	—	68	1	no	—
1134	C₂²×C₄	—	68	1	no	—
1135	C₂²×C₄	—	68	1	no	—
1136	C₂²×C₄	—	68	1	no	—
1137	C₂²×C₄	—	68	1	no	—
1138	C₂²×C₄	—	68	1	no	—
1139	C₂²×C₄	—	68	1	no	—
1140	C₂²×C₄	—	68	1	no	—
1141	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	34	2	no	—
1168	C₄⋊C₄	—	34	2	no	—
1169	C₄⋊C₄	—	34	2	no	—
1170	C₄⋊C₄	—	34	2	no	—
1171	C₄⋊C₄	—	68	1	no	—
1172	C₄⋊C₄	—	68	1	no	—
1173	C₄⋊C₄	—	68	1	no	—
1174	C₄⋊C₄	—	68	1	no	—
1175	C₄⋊C₄	—	68	1	no	—
1176	C₄⋊C₄	—	68	1	no	—
1177	C₄⋊C₄	—	68	1	no	—
1178	C₄⋊C₄	—	68	1	no	—
1179	C₄⋊C₄	—	68	1	no	—
1180	C₄⋊C₄	—	68	1	no	—
1181	C₄⋊C₄	—	68	1	no	—
1182	C₄⋊C₄	—	68	1	no	—
1183	C₄⋊C₄	—	68	1	no	—
1184	C₄⋊C₄	—	68	1	no	—
1185	C₄⋊C₄	—	68	1	no	—
1186	C₄⋊C₄	—	68	1	no	—
1187	C₄⋊C₄	—	68	1	no	—
1188	C₄⋊C₄	—	68	1	no	—
1189	C₄⋊C₄	—	68	1	no	—
1190	C₄⋊C₄	—	68	1	no	—
1191	C₄⋊C₄	—	68	1	no	—
1192	C₄⋊C₄	—	68	1	no	—
1193	C₄⋊C₄	—	68	1	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₂²⋊C₄	—	34	2	no	—
1207	C₂²⋊C₄	—	34	2	no	—
1208	C₂²⋊C₄	—	34	2	no	—
1209	C₂²⋊C₄	—	34	2	no	—
1210	C₂²⋊C₄	—	34	2	no	—
1211	C₂²⋊C₄	—	34	2	no	—
1212	C₂²⋊C₄	—	34	2	no	—
1213	C₂²⋊C₄	—	34	2	no	—
1214	C₂²⋊C₄	—	34	2	no	—
1215	C₂²⋊C₄	—	34	2	no	—
1216	C₂²⋊C₄	—	34	2	no	—
1217	C₂²⋊C₄	—	34	2	no	—
1218	C₂²⋊C₄	—	68	1	no	—
1219	C₂²⋊C₄	—	68	1	no	—
1220	C₂²⋊C₄	—	68	1	no	—
1221	C₂²⋊C₄	—	68	1	no	—
1222	C₂²⋊C₄	—	68	1	no	—
1223	C₂²⋊C₄	—	68	1	no	—
1224	C₂²⋊C₄	—	68	1	no	—
1225	C₂²⋊C₄	—	68	1	no	—
1226	C₂²⋊C₄	—	68	1	no	—
1227	C₂²⋊C₄	—	68	1	no	—
1228	C₂²⋊C₄	—	68	1	no	—
1229	C₂²⋊C₄	—	68	1	no	—
1230	C₂²⋊C₄	—	68	1	no	—
1231	C₂²⋊C₄	—	68	1	no	—
1232	C₂²⋊C₄	—	68	1	no	—
1233	C₂²⋊C₄	—	68	1	no	—
1234	C₂²⋊C₄	—	68	1	no	—
1235	C₂²⋊C₄	—	68	1	no	—
1236	C₂²⋊C₄	—	68	1	no	—
1237	C₂²⋊C₄	—	68	1	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	4	1	no	—
1240	C₄²	—	4	1	no	—
1241	C₄²	—	34	2	no	—
1242	C₄²	—	34	2	no	—
1243	C₄²	—	34	2	no	—
1244	C₄²	—	68	1	no	—
1245	C₄²	—	68	1	no	—
1246	C₄²	—	68	1	no	—
1247	C₄²	—	68	1	no	—
1248	C₄²	—	68	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	17	2	no	—
1264	C₂³	—	17	2	no	—
1265	C₂³	—	17	2	no	—
1266	C₂³	—	34	1	no	—
1267	C₂³	—	34	1	no	—
1268	C₂³	—	34	1	no	—
1269	C₂³	—	34	1	no	—
1270	C₂³	—	34	1	no	—
1271	C₂³	—	34	1	no	—
1272	C₂³	—	34	1	no	—
1273	C₂³	—	34	1	no	—
1274	C₂³	—	34	1	no	—
1275	C₂³	—	34	1	no	—
1276	C₂³	—	34	1	no	—
1277	C₂³	—	68	4	no	—
1278	C₂³	—	68	4	no	—
1279	C₂³	—	68	4	no	—
1280	C₂³	—	136	2	no	—
1281	C₂³	—	136	2	no	—
1282	C₂³	—	136	2	no	—
1283	C₂³	—	136	2	no	—
1284	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1285	Q₈	—	136	2	no	—
1286	D₄	—	8	2	no	—
1287	D₄	—	68	4	no	—
1288	D₄	—	136	2	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	17	2	no	—
1327	C₂×C₄	—	34	8	no	—
1328	C₂×C₄	—	34	1	no	—
1329	C₂×C₄	—	34	1	no	—
1330	C₂×C₄	—	34	1	no	—
1331	C₂×C₄	—	34	1	no	—
1332	C₂×C₄	—	34	1	no	—
1333	C₂×C₄	—	34	1	no	—
1334	C₂×C₄	—	34	1	no	—
1335	C₂×C₄	—	34	1	no	—
1336	C₂×C₄	—	34	1	no	—
1337	C₂×C₄	—	34	1	no	—
1338	C₂×C₄	—	34	1	no	—
1339	C₂×C₄	—	34	1	no	—
1340	C₂×C₄	—	34	1	no	—
1341	C₂×C₄	—	34	1	no	—
1342	C₂×C₄	—	34	1	no	—
1343	C₂×C₄	—	34	1	no	—
1344	C₂×C₄	—	34	1	no	—
1345	C₂×C₄	—	34	1	no	—
1346	C₂×C₄	—	34	1	no	—
1347	C₂×C₄	—	34	1	no	—
1348	C₂×C₄	—	34	1	no	—
1349	C₂×C₄	—	34	1	no	—
1350	C₂×C₄	—	34	1	no	—
1351	C₂×C₄	—	34	1	no	—
1352	C₂×C₄	—	34	1	no	—
1353	C₂×C₄	—	34	1	no	—
1354	C₂×C₄	—	34	1	no	—
1355	C₂×C₄	—	34	1	no	—
1356	C₂×C₄	—	34	1	no	—
1357	C₂×C₄	—	34	1	no	—
1358	C₂×C₄	—	34	1	no	—
1359	C₂×C₄	—	34	1	no	—
1360	C₂×C₄	—	34	1	no	—
1361	C₂×C₄	—	34	1	no	—
1362	C₂×C₄	—	34	1	no	—
1363	C₂×C₄	—	34	1	no	—
1364	C₂×C₄	—	34	1	no	—
1365	C₂×C₄	—	34	1	no	—
1366	C₂×C₄	—	34	1	no	—
1367	C₂×C₄	—	34	1	no	—
1368	C₂×C₄	—	34	1	no	—
1369	C₂×C₄	—	68	4	no	—
1370	C₂×C₄	—	68	4	no	—
1371	C₂×C₄	—	68	4	no	—
1372	C₂×C₄	—	136	2	no	—
1373	C₂×C₄	—	136	2	no	—
1374	C₂×C₄	—	136	2	no	—
1375	C₂×C₄	#10587691	1	2	yes	—
1376	C₂×C₄	#41×D₁₇	1	2	yes	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	17	4	no	—
1392	C₂²	—	34	2	no	—
1393	C₂²	—	34	2	no	—
1394	C₂²	—	34	2	no	—
1395	C₂²	—	34	2	no	—
1396	C₂²	—	34	2	no	—
1397	C₂²	—	34	2	no	—
1398	C₂²	—	68	1	no	—
1399	C₂²	—	68	1	no	—
1400	C₂²	—	68	1	no	—
1401	C₂²	—	68	1	no	—
1402	C₂²	—	68	1	no	—
1403	C₂²	—	68	1	no	—
1404	C₂²	—	68	1	no	—
1405	C₂²	—	136	8	no	—
1406	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1407	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1408	C₂²	C₂×#10587691	1	1	yes	characteristic
1409	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1410	C₂²	#11763644	1	1	yes	characteristic
1411	C₂²	#11763645	1	1	yes	characteristic
1412	C₂²	#11763646	1	1	yes	characteristic
1413	C₄	—	2	2	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	34	2	no	—
1427	C₄	—	68	1	no	—
1428	C₄	—	68	1	no	—
1429	C₄	—	68	1	no	—
1430	C₄	—	68	1	no	—
1431	C₄	—	68	1	no	—
1432	C₄	—	68	1	no	—
1433	C₄	—	68	1	no	—
1434	C₄	—	68	1	no	—
1435	C₄	—	68	1	no	—
1436	C₄	—	68	1	no	—
1437	C₄	—	68	1	no	—
1438	C₄	—	68	1	no	—
1439	C₄	—	68	1	no	—
1440	C₂	—	8	1	no	—
1441	C₂	—	8	1	no	—
1442	C₂	—	34	4	no	—
1443	C₂	—	136	1	no	—
1444	C₂	D₁₇×#539	1	1	yes	characteristic
1445	C₂	#14542498	1	1	yes	characteristic
1446	C₂	#14542628	1	1	yes	characteristic
1447	C₂	#14542985	1	1	yes	characteristic
1448	C₂	#14543088	1	1	yes	characteristic
1449	C₂	#14543135	1	1	yes	characteristic
1450	C₂	#14543406	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2727	C₂
prime radical	C₂×#10587623	C₂²
hypercenter	#2727	D₁₇
hypocenter	C₁₇	#36796
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2727

Complements

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

N	H ≅ G/N	type
1. #14537096	C₂	semidirect
2. #14537093	C₂	semidirect
3. #14536759	C₂	semidirect
4. #14536649	C₂	semidirect
5. #14536620	C₂	semidirect
6. #14536610	C₂	semidirect
7. #14536598	C₂	semidirect
8. #14536491	C₂	semidirect
9. #14536472	C₂	semidirect
10. #14536465	C₂	semidirect
11. #14536440	C₂	semidirect
12. #14536391	C₂	semidirect
13. #14536357	C₂	semidirect
14. #14536322	C₂	semidirect
15. #14535675	C₂	semidirect
16. #14535628	C₂	semidirect
17. #14535311	C₂	semidirect
18. #14534594	C₂	semidirect
20. #14533290	C₂	semidirect
21. #14533221	C₂	semidirect
22. #14533059	C₂	semidirect
23. #14533026	C₂	semidirect
24. #14532603	C₂	semidirect
25. #14532467	C₂	semidirect
28. #14531454	C₂	semidirect
29. #14531406	C₂	semidirect
30. D₁₇×#388	C₂	semidirect
31. C₁₇×#2727	C₂	semidirect
32. C₂×#10587576	C₂²	semidirect
45. #11762750	C₂²	semidirect
46. #11762748	C₂²	semidirect
47. #11762748	C₂²	semidirect
48. #11762747	C₂²	semidirect
49. #11762747	C₂²	semidirect
50. #11762747	C₂²	semidirect
55. #11762742	C₂²	semidirect
56. #11762741	C₂²	semidirect
57. #11762740	C₂²	semidirect
58. #11762740	C₂²	semidirect
59. #11762739	C₂²	semidirect
70. #11762734	C₂²	semidirect
77. #11762729	C₂²	semidirect
86. #11762721	C₂²	semidirect
87. #11762714	C₂²	semidirect
88. #11762713	C₂²	semidirect
90. #11762708	C₂²	semidirect
91. #11762707	C₂²	semidirect
92. #11762707	C₂²	semidirect
93. #11762707	C₂²	semidirect
94. #11762705	C₂²	semidirect
95. #11762704	C₂²	semidirect
100. #11762703	C₂²	semidirect
104. #11762702	C₂²	semidirect
105. #11762702	C₂²	semidirect
117. #11762697	C₂²	semidirect
118. #11762697	C₂²	semidirect
119. #11762697	C₂²	semidirect
120. #11762696	C₂²	semidirect
121. #11762695	C₂²	semidirect
122. #11762695	C₂²	semidirect
123. #11762695	C₂²	semidirect
124. #11762695	C₂²	semidirect
125. #11762694	C₂²	semidirect
126. #11762693	C₂²	semidirect
127. #11762693	C₂²	semidirect
128. #11762692	C₂²	semidirect
129. #11762692	C₂²	semidirect
130. #11762691	C₂²	semidirect
131. #11762691	C₂²	semidirect
132. #11762690	C₂²	semidirect
133. #11762690	C₂²	semidirect
134. #11762690	C₂²	semidirect
135. #11762690	C₂²	semidirect
141. #11762684	C₂²	semidirect
145. #11762681	C₂²	semidirect
146. #11762681	C₂²	semidirect
154. #11762678	C₂²	semidirect
155. #11762678	C₂²	semidirect
156. #11762677	C₂²	semidirect
157. #11762674	C₂²	semidirect
158. #11762673	C₂²	semidirect
159. #11762673	C₂²	semidirect
160. #11762673	C₂²	semidirect
162. #11762667	C₂²	semidirect
173. C₂×C₁₇×#126	C₂²	semidirect
175. C₁₇×#399	C₂²	semidirect
177. C₁₇×#396	C₂²	semidirect
181. C₁₇×#389	C₂²	semidirect
182. C₁₇×#389	C₂²	semidirect
183. C₁₇×#389	C₂²	semidirect
184. C₁₇×#389	C₂²	semidirect
186. C₁₇×#388	C₂²	semidirect
666. #2727	D₁₇	semidirect
747. C₂×#126	C₂×D₁₇	semidirect
772. #399	C₂×D₁₇	semidirect
796. #396	C₂×D₁₇	semidirect
819. #389	C₂×D₁₇	semidirect
820. #389	C₂×D₁₇	semidirect
821. #389	C₂×D₁₇	semidirect
822. #389	C₂×D₁₇	semidirect
848. #388	C₂×D₁₇	semidirect
1082. C₁₇	#36796	semidirect

Maximal subgroups

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

subgroup	index
#14537096	2
#14537093	2
#14536759	2
#14536649	2
#14536620	2
#14536610	2
#14536598	2
#14536491	2
#14536472	2
#14536465	2
#14536440	2
#14536391	2
#14536357	2
#14536322	2
#14535675	2
#14535628	2
#14535311	2
#14534594	2
#14534556	2
#14533290	2
#14533221	2
#14533059	2
#14533026	2
#14532603	2
#14532467	2
#14532241	2
#14532166	2
#14531454	2
#14531406	2
D₁₇×#388	2
C₁₇×#2727	2
#36796	17