Subgroups — #17241484

Order 4352.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14537070	C₂	1	1	yes	maximal, characteristic
2	#14537068	C₂	1	1	yes	maximal, characteristic
3	#14535987	C₂	1	1	yes	maximal, characteristic, complemented
4	#14535984	C₂	1	1	yes	maximal, characteristic, complemented
5	#14535980	C₂	1	1	yes	maximal, characteristic, complemented
6	#14535979	C₂	1	1	yes	maximal, characteristic, complemented
7	#14535695	C₂	1	1	yes	maximal, characteristic, complemented
8	#14535693	C₂	1	1	yes	maximal, characteristic, complemented
9	#14535692	C₂	1	1	yes	maximal, characteristic, complemented
10	#14535692	C₂	1	1	yes	maximal, characteristic, complemented
11	#14535447	C₂	1	1	yes	maximal, characteristic, complemented
12	#14535438	C₂	1	1	yes	maximal, characteristic, complemented
13	#14535435	C₂	1	1	yes	maximal, characteristic, complemented
14	#14535256	C₂	1	1	yes	maximal, characteristic, complemented
15	#14535249	C₂	1	1	yes	maximal, characteristic, complemented
16	#14535245	C₂	1	1	yes	maximal, characteristic, complemented
17	#14535244	C₂	1	1	yes	maximal, characteristic, complemented
18	#14534897	C₂	1	1	yes	maximal, characteristic, complemented
19	#14534753	C₂	1	1	yes	maximal, characteristic, complemented
20	#14533036	C₂	1	1	yes	maximal, characteristic
21	#14533034	C₂	1	1	yes	maximal, characteristic
22	#14533033	C₂	1	1	yes	maximal, characteristic
23	#14533033	C₂	1	1	yes	maximal, characteristic
24	#14532931	C₂	1	1	yes	maximal, characteristic, complemented
25	#14532926	C₂	1	1	yes	maximal, characteristic, complemented
26	#14532921	C₂	1	1	yes	maximal, characteristic, complemented
27	#14532918	C₂	1	1	yes	maximal, characteristic, complemented
28	#14531518	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531516	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₇×#380	C₂	1	1	yes	maximal, characteristic
31	C₁₇×#2704	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₇	C₂²	1	1	yes	characteristic
33	C₂×#10587584	C₂²	1	1	yes	characteristic
34	C₂×#10587584	C₂²	1	1	yes	characteristic
35	C₂×#10587584	C₂²	1	1	yes	characteristic
36	C₂×#10587562	C₂²	1	1	yes	characteristic
37	C₂×#10587575	C₂²	1	1	yes	characteristic, complemented
38	C₂×#10587575	C₂²	1	1	yes	characteristic, complemented
39	C₂×#10587575	C₂²	1	1	yes	characteristic, complemented
40	C₂×#10587582	C₂²	1	1	yes	characteristic
41	C₂×#10587582	C₂²	1	1	yes	characteristic
42	C₂×#10587564	C₂²	1	1	yes	characteristic
43	C₂×#10587632	C₂²	1	1	yes	characteristic
44	C₂×#10587632	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₁₇	C₂²	1	1	yes	characteristic
49	#11762751	C₂²	1	1	yes	characteristic, complemented
50	#11762751	C₂²	1	1	yes	characteristic, complemented
51	#11762750	C₂²	1	1	yes	characteristic, complemented
52	#11762750	C₂²	1	1	yes	characteristic, complemented
53	#11762750	C₂²	1	1	yes	characteristic, complemented
54	#11762748	C₂²	1	1	yes	characteristic, complemented
55	#11762747	C₂²	1	1	yes	characteristic, complemented
56	#11762747	C₂²	1	1	yes	characteristic, complemented
57	#11762743	C₂²	1	1	yes	characteristic, complemented
58	#11762743	C₂²	1	1	yes	characteristic, complemented
59	#11762743	C₂²	1	1	yes	characteristic, complemented
60	#11762743	C₂²	1	1	yes	characteristic, complemented
61	#11762743	C₂²	1	1	yes	characteristic, complemented
62	#11762742	C₂²	1	1	yes	characteristic, complemented
63	#11762742	C₂²	1	1	yes	characteristic, complemented
64	#11762742	C₂²	1	1	yes	characteristic, complemented
65	#11762742	C₂²	1	1	yes	characteristic, complemented
66	#11762742	C₂²	1	1	yes	characteristic, complemented
67	#11762741	C₂²	1	1	yes	characteristic, complemented
68	#11762740	C₂²	1	1	yes	characteristic, complemented
69	#11762740	C₂²	1	1	yes	characteristic, complemented
70	#11762740	C₂²	1	1	yes	characteristic, complemented
71	#11762739	C₂²	1	1	yes	characteristic, complemented
72	#11762739	C₂²	1	1	yes	characteristic, complemented
73	#11762739	C₂²	1	1	yes	characteristic, complemented
74	#11762738	C₂²	1	1	yes	characteristic
75	#11762738	C₂²	1	1	yes	characteristic
76	#11762738	C₂²	1	1	yes	characteristic
77	#11762738	C₂²	1	1	yes	characteristic
78	#11762737	C₂²	1	1	yes	characteristic
79	#11762737	C₂²	1	1	yes	characteristic
80	#11762736	C₂²	1	1	yes	characteristic
81	#11762735	C₂²	1	1	yes	characteristic
82	#11762735	C₂²	1	1	yes	characteristic
83	#11762735	C₂²	1	1	yes	characteristic
84	#11762734	C₂²	1	1	yes	characteristic
85	#11762734	C₂²	1	1	yes	characteristic
86	#11762732	C₂²	1	1	yes	characteristic
87	#11762732	C₂²	1	1	yes	characteristic
88	#11762729	C₂²	1	1	yes	characteristic, complemented
89	#11762729	C₂²	1	1	yes	characteristic, complemented
90	#11762728	C₂²	1	1	yes	characteristic, complemented
91	#11762716	C₂²	1	1	yes	characteristic, complemented
92	#11762714	C₂²	1	1	yes	characteristic, complemented
93	#11762713	C₂²	1	1	yes	characteristic, complemented
94	#11762708	C₂²	1	1	yes	characteristic, complemented
95	#11762706	C₂²	1	1	yes	characteristic, complemented
96	#11762705	C₂²	1	1	yes	characteristic, complemented
97	#11762704	C₂²	1	1	yes	characteristic, complemented
98	#11762704	C₂²	1	1	yes	characteristic, complemented
99	#11762704	C₂²	1	1	yes	characteristic, complemented
100	#11762703	C₂²	1	1	yes	characteristic
101	#11762703	C₂²	1	1	yes	characteristic
102	#11762703	C₂²	1	1	yes	characteristic
103	#11762700	C₂²	1	1	yes	characteristic
104	#11762699	C₂²	1	1	yes	characteristic
105	#11762699	C₂²	1	1	yes	characteristic
106	#11762698	C₂²	1	1	yes	characteristic
107	#11762697	C₂²	1	1	yes	characteristic
108	#11762697	C₂²	1	1	yes	characteristic
109	#11762697	C₂²	1	1	yes	characteristic
110	#11762696	C₂²	1	1	yes	characteristic, complemented
111	#11762696	C₂²	1	1	yes	characteristic, complemented
112	#11762695	C₂²	1	1	yes	characteristic, complemented
113	#11762695	C₂²	1	1	yes	characteristic, complemented
114	#11762695	C₂²	1	1	yes	characteristic, complemented
115	#11762694	C₂²	1	1	yes	characteristic, complemented
116	#11762693	C₂²	1	1	yes	characteristic, complemented
117	#11762693	C₂²	1	1	yes	characteristic, complemented
118	#11762693	C₂²	1	1	yes	characteristic, complemented
119	#11762693	C₂²	1	1	yes	characteristic, complemented
120	#11762692	C₂²	1	1	yes	characteristic, complemented
121	#11762692	C₂²	1	1	yes	characteristic, complemented
122	#11762691	C₂²	1	1	yes	characteristic, complemented
123	#11762691	C₂²	1	1	yes	characteristic, complemented
124	#11762690	C₂²	1	1	yes	characteristic, complemented
125	#11762690	C₂²	1	1	yes	characteristic, complemented
126	#11762683	C₂²	1	1	yes	characteristic
127	#11762683	C₂²	1	1	yes	characteristic
128	#11762683	C₂²	1	1	yes	characteristic
129	#11762683	C₂²	1	1	yes	characteristic
130	#11762682	C₂²	1	1	yes	characteristic
131	#11762681	C₂²	1	1	yes	characteristic
132	#11762681	C₂²	1	1	yes	characteristic
133	#11762680	C₂²	1	1	yes	characteristic
134	#11762680	C₂²	1	1	yes	characteristic
135	#11762680	C₂²	1	1	yes	characteristic
136	#11762680	C₂²	1	1	yes	characteristic
137	#11762680	C₂²	1	1	yes	characteristic
138	#11762680	C₂²	1	1	yes	characteristic
139	#11762680	C₂²	1	1	yes	characteristic
140	#11762680	C₂²	1	1	yes	characteristic
141	#11762680	C₂²	1	1	yes	characteristic
142	#11762680	C₂²	1	1	yes	characteristic
143	#11762680	C₂²	1	1	yes	characteristic
144	#11762680	C₂²	1	1	yes	characteristic
145	#11762669	C₂²	1	1	yes	characteristic
146	#11762669	C₂²	1	1	yes	characteristic
147	#11762668	C₂²	1	1	yes	characteristic
148	#11762668	C₂²	1	1	yes	characteristic
149	#11762668	C₂²	1	1	yes	characteristic
150	#11762668	C₂²	1	1	yes	characteristic
151	#11762668	C₂²	1	1	yes	characteristic
152	#11762668	C₂²	1	1	yes	characteristic
153	#11762667	C₂²	1	1	yes	characteristic
154	#11762667	C₂²	1	1	yes	characteristic
155	#11762667	C₂²	1	1	yes	characteristic
156	#11762666	C₂²	1	1	yes	characteristic
157	#11762666	C₂²	1	1	yes	characteristic
158	#11762666	C₂²	1	1	yes	characteristic
159	#11762666	C₂²	1	1	yes	characteristic
160	#11762666	C₂²	1	1	yes	characteristic
161	#11762666	C₂²	1	1	yes	characteristic
162	#11762664	C₂²	1	1	yes	characteristic
163	#11762664	C₂²	1	1	yes	characteristic
164	#11762664	C₂²	1	1	yes	characteristic
165	#11762664	C₂²	1	1	yes	characteristic
166	C₄×#63227	C₂²	1	1	yes	characteristic
167	C₄×#63227	C₂²	1	1	yes	characteristic
168	#11762656	C₂²	1	1	yes	characteristic
169	#11762656	C₂²	1	1	yes	characteristic
170	#95×D₁₇	C₂²	1	1	yes	characteristic
171	#95×D₁₇	C₂²	1	1	yes	characteristic
172	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
174	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
175	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
176	C₁₇×#398	C₂²	1	1	yes	characteristic, complemented
177	C₁₇×#396	C₂²	1	1	yes	characteristic
178	C₁₇×#396	C₂²	1	1	yes	characteristic
179	C₁₇×#395	C₂²	1	1	yes	characteristic, complemented
180	C₁₇×#391	C₂²	1	1	yes	characteristic, complemented
181	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
182	C₁₇×#389	C₂²	1	1	yes	characteristic, complemented
183	C₁₇×#388	C₂²	1	1	yes	characteristic
184	C₁₇×#388	C₂²	1	1	yes	characteristic
185	C₁₇×#385	C₂²	1	1	yes	characteristic
186	C₁₇×#380	C₂²	1	1	yes	characteristic
187	C₂⁴×D₁₇	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₇	—	2	4	no	—
192	C₂²×C₄×D₁₇	—	4	2	no	—
193	C₂²×C₄×D₁₇	—	4	2	no	—
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×C₄×D₁₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
202	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
203	C₁₇×#125	—	4	2	no	—
204	C₁₇×C₂²⋊Q₈	—	4	2	no	—
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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊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×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	#10587632	—	2	4	no	—
235	#10587632	—	4	2	no	—
236	C₂×#63227	C₂³	1	1	yes	characteristic
237	C₂×#63227	C₂³	1	1	yes	characteristic
238	C₂×#63227	C₂³	1	1	yes	characteristic
239	C₂×#63227	C₂³	1	1	yes	characteristic
240	C₂×#63227	C₂³	1	1	yes	characteristic
241	C₂×#63227	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₇	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×#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×#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×#63225	C₂³	1	1	yes	characteristic
290	C₂×#63225	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	#10587584	—	4	2	no	—
298	#10587584	—	4	2	no	—
299	#10587584	—	4	2	no	—
300	#10587582	—	2	4	no	—
301	#10587582	—	4	2	no	—
302	C₄⋊C₄×D₁₇	—	4	2	no	—
303	C₄⋊C₄×D₁₇	—	4	2	no	—
304	#10587575	—	4	2	no	—
305	#10587575	—	4	2	no	—
306	#10587575	—	4	2	no	—
307	C₂²⋊C₄×D₁₇	—	4	2	no	—
308	C₂²⋊C₄×D₁₇	—	4	2	no	—
309	#10587564	—	4	2	no	—
310	#10587562	—	4	2	no	—
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	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	#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	#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	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
364	C₂³×D₁₇	—	2	2	no	—
365	C₂³×D₁₇	—	2	2	no	—
366	C₂³×D₁₇	—	2	2	no	—
367	C₂³×D₁₇	—	2	2	no	—
368	C₂³×D₁₇	—	2	2	no	—
369	C₂³×D₁₇	—	4	1	no	—
370	C₂³×D₁₇	—	4	1	no	—
371	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
372	C₂³×D₁₇	C₂⁴	1	1	yes	characteristic
373	C₂×Q₈×C₁₇	—	2	2	no	—
374	C₂×Q₈×C₁₇	—	4	1	no	—
375	C₂×Q₈×C₁₇	—	4	1	no	—
376	C₂²×C₄×C₁₇	—	2	2	no	—
377	C₂²×C₄×C₁₇	—	2	2	no	—
378	C₂²×C₄×C₁₇	—	4	1	no	—
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×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₇	—	2	2	no	—
394	C₂²×Dic₁₇	—	2	2	no	—
395	C₂²×Dic₁₇	—	4	1	no	—
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	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
416	C₂×C₄×D₁₇	—	2	2	no	—
417	C₂×C₄×D₁₇	—	2	2	no	—
418	C₂×C₄×D₁₇	—	2	2	no	—
419	C₂×C₄×D₁₇	—	2	2	no	—
420	C₂×C₄×D₁₇	—	2	2	no	—
421	C₂×C₄×D₁₇	—	4	16	no	—
422	C₂×C₄×D₁₇	—	4	1	no	—
423	C₂×C₄×D₁₇	—	4	1	no	—
424	C₂×C₄×D₁₇	—	4	1	no	—
425	C₂×C₄×D₁₇	—	4	1	no	—
426	C₂×C₄×D₁₇	—	4	1	no	—
427	C₂×C₄×D₁₇	—	4	1	no	—
428	C₂×C₄×D₁₇	—	4	1	no	—
429	C₂×C₄×D₁₇	—	4	1	no	—
430	C₂×C₄×D₁₇	—	4	1	no	—
431	C₂×C₄×D₁₇	—	4	1	no	—
432	C₂×C₄×D₁₇	—	4	1	no	—
433	C₂×C₄×D₁₇	—	4	1	no	—
434	C₂×C₄×D₁₇	#41	1	4	yes	—
435	C₂×Dic₃₄	—	2	2	no	—
436	C₂×Dic₃₄	—	4	1	no	—
437	C₂×Dic₃₄	—	4	1	no	—
438	C₄⋊C₄×C₁₇	—	2	2	no	—
439	C₄⋊C₄×C₁₇	—	2	2	no	—
440	C₄⋊C₄×C₁₇	—	2	2	no	—
441	C₄⋊C₄×C₁₇	—	2	2	no	—
442	C₄⋊C₄×C₁₇	—	2	2	no	—
443	C₄⋊C₄×C₁₇	—	4	1	no	—
444	C₄⋊C₄×C₁₇	—	4	1	no	—
445	C₄⋊C₄×C₁₇	—	4	1	no	—
446	C₄⋊C₄×C₁₇	—	4	1	no	—
447	C₄⋊C₄×C₁₇	—	4	1	no	—
448	C₄⋊C₄×C₁₇	—	4	1	no	—
449	C₄⋊C₄×C₁₇	—	4	1	no	—
450	C₄⋊C₄×C₁₇	—	4	1	no	—
451	C₄⋊C₄×C₁₇	—	4	1	no	—
452	C₄⋊C₄×C₁₇	—	4	1	no	—
453	C₂²⋊C₄×C₁₇	—	2	2	no	—
454	C₂²⋊C₄×C₁₇	—	4	1	no	—
455	C₂²⋊C₄×C₁₇	—	4	1	no	—
456	C₂²⋊C₄×C₁₇	—	4	1	no	—
457	C₂²⋊C₄×C₁₇	—	4	1	no	—
458	C₂²⋊C₄×C₁₇	—	4	1	no	—
459	C₄²×C₁₇	—	4	1	no	—
460	C₄²×C₁₇	—	4	1	no	—
461	C₂²⋊Dic₁₇	—	2	2	no	—
462	C₂²⋊Dic₁₇	—	2	2	no	—
463	C₂²⋊Dic₁₇	—	2	2	no	—
464	C₂²⋊Dic₁₇	—	4	1	no	—
465	C₂²⋊Dic₁₇	—	4	1	no	—
466	C₂²⋊Dic₁₇	—	4	1	no	—
467	#63227	—	2	2	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	—	2	2	no	—
479	#63227	—	2	2	no	—
480	#63227	—	2	2	no	—
481	#63227	—	2	2	no	—
482	#63227	—	2	2	no	—
483	#63227	—	4	1	no	—
484	#63227	—	4	1	no	—
485	#63227	—	4	1	no	—
486	#63227	—	4	1	no	—
487	C₄⋊Dic₁₇	—	2	2	no	—
488	C₄⋊Dic₁₇	—	2	2	no	—
489	C₄⋊Dic₁₇	—	2	2	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	#63225	—	2	2	no	—
497	#63225	—	2	2	no	—
498	#63225	—	2	2	no	—
499	#63225	—	2	2	no	—
500	#63225	—	2	2	no	—
501	#63225	—	2	2	no	—
502	#63225	—	2	2	no	—
503	#63225	—	2	2	no	—
504	#63225	—	2	2	no	—
505	#63225	—	2	2	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	#63225	—	4	1	no	—
516	#63225	—	4	1	no	—
517	#63225	—	4	1	no	—
518	#63225	—	4	1	no	—
519	#63225	—	4	1	no	—
520	#63225	—	4	1	no	—
521	#63225	—	4	1	no	—
522	C₄×Dic₁₇	—	4	1	no	—
523	C₄×Dic₁₇	—	4	1	no	—
524	C₄×Dic₁₇	—	4	1	no	—
525	C₄×Dic₁₇	—	4	1	no	—
526	C₄×Dic₁₇	—	4	1	no	—
527	C₄×Dic₁₇	—	4	1	no	—
528	#36728	—	17	1	no	maximal, Sylow
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⁺⁴	1	2	yes	—
536	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
537	C₂²×D₁₇	—	2	1	no	—
538	C₂²×D₁₇	—	2	1	no	—
539	C₂²×D₁₇	—	2	1	no	—
540	C₂²×D₁₇	—	2	1	no	—
541	C₂²×D₁₇	—	2	8	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	—	4	4	no	—
549	C₂²×D₁₇	—	4	4	no	—
550	C₂²×D₁₇	—	4	4	no	—
551	C₂²×D₁₇	—	4	4	no	—
552	C₂²×D₁₇	—	4	4	no	—
553	C₂²×D₁₇	—	4	4	no	—
554	C₂²×D₁₇	C₂×#41	1	2	yes	—
555	C₂²×D₁₇	H(5,𝔽₂)	1	2	yes	—
556	C₂²×D₁₇	2₋¹⁺⁴	1	2	yes	—
557	C₂²×D₁₇	2₋¹⁺⁴	1	2	yes	—
558	Q₈×C₁₇	—	8	2	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	—	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	—	2	1	no	—
599	C₂×C₄×C₁₇	—	4	4	no	—
600	C₂×C₄×C₁₇	C₂×#41	1	2	yes	—
601	C₂×C₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
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	—	4	4	no	—
643	C₂×Dic₁₇	C₂×#41	1	2	yes	—
644	C₂×Dic₁₇	H(5,𝔽₂)	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	C₄×D₁₇	—	8	2	no	—
652	C₄×D₁₇	—	8	2	no	—
653	Dic₃₄	—	8	2	no	—
654	#2848	—	17	1	no	—
655	#2848	—	17	1	no	—
656	#2747	—	17	1	no	—
657	#2747	—	17	1	no	—
658	#2747	—	17	1	no	—
659	#2747	—	17	1	no	—
660	#2722	—	17	1	no	—
661	#2722	—	17	1	no	—
662	#2722	—	17	1	no	—
663	#2722	—	17	1	no	—
664	#2704	—	17	1	no	—
665	#2704	—	17	1	no	—
666	#2704	—	17	1	no	—
667	#2704	D₁₇	1	1	yes	characteristic, complemented
668	#2690	—	17	1	no	—
669	#2690	—	17	1	no	—
670	#2690	—	17	1	no	—
671	#2690	—	17	1	no	—
672	#2659	—	17	1	no	—
673	#2646	—	17	1	no	—
674	#2480	—	17	1	no	—
675	#2480	—	17	1	no	—
676	#2480	—	17	1	no	—
677	#2480	—	17	1	no	—
678	#2473	—	17	1	no	—
679	#2473	—	17	1	no	—
680	#2473	—	17	1	no	—
681	#2473	—	17	1	no	—
682	#2329	—	17	1	no	—
683	#2329	—	17	1	no	—
684	C₂×#380	—	17	1	no	—
685	C₂²×C₁₇	—	2	2	no	—
686	C₂²×C₁₇	—	2	2	no	—
687	C₂²×C₁₇	—	2	2	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	C₂²×#41	1	1	yes	characteristic
693	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
694	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
695	C₂²×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
697	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
698	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
699	C₂×D₁₇	—	2	2	no	—
700	C₂×D₁₇	—	2	2	no	—
701	C₂×D₁₇	—	2	2	no	—
702	C₂×D₁₇	—	2	2	no	—
703	C₂×D₁₇	—	2	2	no	—
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	—	4	16	no	—
709	C₂×D₁₇	—	4	1	no	—
710	C₂×D₁₇	—	4	1	no	—
711	C₂×D₁₇	—	4	1	no	—
712	C₂×D₁₇	—	4	1	no	—
713	C₂×D₁₇	#541	1	4	yes	—
714	C₄×C₁₇	—	2	2	no	—
715	C₄×C₁₇	—	2	2	no	—
716	C₄×C₁₇	—	4	1	no	—
717	C₄×C₁₇	—	4	1	no	—
718	C₄×C₁₇	—	4	1	no	—
719	C₄×C₁₇	—	4	1	no	—
720	C₄×C₁₇	—	4	1	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	Dic₁₇	—	2	2	no	—
729	Dic₁₇	—	2	2	no	—
730	Dic₁₇	—	4	1	no	—
731	Dic₁₇	—	4	1	no	—
732	Dic₁₇	—	4	1	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	C₂⁴×C₄	—	17	1	no	—
743	C₂×#126	—	17	1	no	—
744	C₂×#126	—	17	1	no	—
745	C₂×#126	—	17	1	no	—
746	C₂×#126	—	17	1	no	—
747	C₂×#125	—	17	1	no	—
748	C₂×#125	—	17	1	no	—
749	C₂×#125	—	17	1	no	—
750	C₂×#125	C₂×D₁₇	1	1	yes	characteristic, complemented
751	C₂×C₂²⋊Q₈	—	17	1	no	—
752	C₂×C₂²⋊Q₈	—	17	1	no	—
753	C₂×C₂²⋊Q₈	—	17	1	no	—
754	C₂×C₂²⋊Q₈	—	17	1	no	—
755	C₂×C₂²⋊Q₈	—	17	1	no	—
756	C₂×C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
757	C₂²×C₄⋊C₄	—	17	1	no	—
758	C₂²×C₄⋊C₄	—	17	1	no	—
759	C₂²×C₂²⋊C₄	—	17	1	no	—
760	C₂²×C₂²⋊C₄	—	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	#400	—	17	1	no	—
768	#400	—	17	1	no	—
769	#398	—	17	1	no	—
770	#398	—	17	1	no	—
771	#398	—	17	1	no	—
772	#398	—	17	1	no	—
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	#398	—	17	1	no	—
779	#398	—	17	1	no	—
780	#398	—	17	1	no	—
781	#398	—	17	1	no	—
782	#398	—	17	1	no	—
783	#398	—	17	1	no	—
784	#398	—	17	1	no	—
785	#398	—	17	1	no	—
786	#398	C₂×D₁₇	1	1	yes	characteristic, complemented
787	#398	C₂×D₁₇	1	1	yes	characteristic, complemented
788	#398	C₂×D₁₇	1	1	yes	characteristic, complemented
789	#397	—	17	1	no	—
790	#397	—	17	1	no	—
791	#397	—	17	1	no	—
792	#397	—	17	1	no	—
793	#397	—	17	1	no	—
794	#397	—	17	1	no	—
795	#397	—	17	1	no	—
796	#397	—	17	1	no	—
797	#397	—	17	1	no	—
798	#397	—	17	1	no	—
799	#397	—	17	1	no	—
800	#397	—	17	1	no	—
801	#396	—	17	1	no	—
802	#396	—	17	1	no	—
803	#396	C₂×D₁₇	1	1	yes	characteristic
804	#396	C₂×D₁₇	1	1	yes	characteristic
805	#395	—	17	1	no	—
806	#395	—	17	1	no	—
807	#395	—	17	1	no	—
808	#395	C₂×D₁₇	1	1	yes	characteristic, complemented
809	#391	—	17	1	no	—
810	#391	—	17	1	no	—
811	#391	—	17	1	no	—
812	#391	C₂×D₁₇	1	1	yes	characteristic, complemented
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	#388	—	17	1	no	—
822	#388	—	17	1	no	—
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	C₂×D₁₇	1	1	yes	characteristic
832	#388	C₂×D₁₇	1	1	yes	characteristic
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	#387	—	17	1	no	—
847	#387	—	17	1	no	—
848	#387	—	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	—	17	1	no	—
857	#385	—	17	1	no	—
858	#385	—	17	1	no	—
859	#385	—	17	1	no	—
860	#385	—	17	1	no	—
861	#385	—	17	1	no	—
862	#385	—	17	1	no	—
863	#385	—	17	1	no	—
864	#385	—	17	1	no	—
865	#385	—	17	1	no	—
866	#385	—	17	1	no	—
867	#385	—	17	1	no	—
868	#385	C₂×D₁₇	1	1	yes	characteristic
869	#380	—	17	1	no	—
870	#380	—	17	1	no	—
871	#380	—	17	1	no	—
872	#380	—	17	1	no	—
873	#380	—	17	1	no	—
874	#380	—	17	1	no	—
875	#380	—	17	1	no	—
876	#380	—	17	1	no	—
877	#380	—	17	1	no	—
878	#380	—	17	1	no	—
879	#380	—	17	1	no	—
880	#380	—	17	1	no	—
881	#380	—	17	1	no	—
882	#380	—	17	1	no	—
883	#380	—	17	1	no	—
884	#380	—	17	1	no	—
885	#380	—	17	1	no	—
886	#380	C₂×D₁₇	1	1	yes	characteristic
887	#379	—	17	1	no	—
888	#379	—	17	1	no	—
889	#379	—	17	1	no	—
890	#379	—	17	1	no	—
891	C₄×C₂²⋊C₄	—	17	1	no	—
892	C₄×C₂²⋊C₄	—	17	1	no	—
893	C₄×C₂²⋊C₄	—	17	1	no	—
894	C₄×C₂²⋊C₄	—	17	1	no	—
895	C₂×#95	—	17	1	no	—
896	C₂×#95	—	17	1	no	—
897	C₂×C₁₇	—	4	2	no	—
898	C₂×C₁₇	C₂×#541	1	1	yes	characteristic
899	C₂×C₁₇	#3490	1	1	yes	characteristic
900	C₂×C₁₇	#3492	1	1	yes	characteristic
901	C₂×C₁₇	#3536	1	1	yes	characteristic
902	C₂×C₁₇	#3536	1	1	yes	characteristic
903	C₂×C₁₇	#3538	1	1	yes	characteristic
904	C₂×C₁₇	#3538	1	1	yes	characteristic
905	D₁₇	—	2	4	no	—
906	D₁₇	—	4	2	no	—
907	C₂⁵	—	17	1	no	—
908	C₂²×Q₈	—	17	1	no	—
909	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
910	C₂³×C₄	—	17	1	no	—
911	C₂³×C₄	—	17	1	no	—
912	C₂³×C₄	—	17	1	no	—
913	C₂³×C₄	—	17	1	no	—
914	C₂³×C₄	—	17	1	no	—
915	C₂³×C₄	—	17	1	no	—
916	C₂³×C₄	—	17	1	no	—
917	C₂³×C₄	—	17	1	no	—
918	C₂³×C₄	—	17	1	no	—
919	C₂³×C₄	—	34	4	no	—
920	C₂³×C₄	—	68	2	no	—
921	C₂³×C₄	—	68	2	no	—
922	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
923	#126	—	68	2	no	—
924	#126	—	68	2	no	—
925	#126	—	68	2	no	—
926	#126	—	68	2	no	—
927	#125	—	4	2	no	—
928	#125	—	68	2	no	—
929	#125	—	68	2	no	—
930	#125	—	68	2	no	—
931	C₂²⋊Q₈	—	4	2	no	—
932	C₂²⋊Q₈	—	34	4	no	—
933	C₂²⋊Q₈	—	34	4	no	—
934	C₂²⋊Q₈	—	68	2	no	—
935	C₂²⋊Q₈	—	68	2	no	—
936	C₂²⋊Q₈	—	68	2	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	—	17	1	no	—
962	C₂×C₄⋊C₄	—	17	1	no	—
963	C₂×C₄⋊C₄	—	17	1	no	—
964	C₂×C₄⋊C₄	—	17	1	no	—
965	C₂×C₄⋊C₄	—	17	1	no	—
966	C₂×C₄⋊C₄	—	17	1	no	—
967	C₂×C₄⋊C₄	—	17	1	no	—
968	C₂×C₄⋊C₄	—	17	1	no	—
969	C₂×C₄⋊C₄	—	17	1	no	—
970	C₂×C₄⋊C₄	—	17	1	no	—
971	C₂×C₄⋊C₄	—	17	1	no	—
972	C₂×C₄⋊C₄	—	68	2	no	—
973	C₂×C₄⋊C₄	—	68	2	no	—
974	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	—	17	1	no	—
1008	C₂×C₂²⋊C₄	—	17	1	no	—
1009	C₂×C₂²⋊C₄	—	17	1	no	—
1010	C₂×C₂²⋊C₄	—	17	1	no	—
1011	C₂×C₂²⋊C₄	—	17	1	no	—
1012	C₂×C₂²⋊C₄	—	17	1	no	—
1013	C₂×C₂²⋊C₄	—	17	1	no	—
1014	C₂×C₂²⋊C₄	—	17	1	no	—
1015	C₂×C₂²⋊C₄	—	68	2	no	—
1016	C₂×C₂²⋊C₄	—	68	2	no	—
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×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
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	C₂²×D₁₇	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
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	—	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	C₂²×D₁₇	1	1	yes	characteristic
1074	#95	C₂²×D₁₇	1	1	yes	characteristic
1075	#95	C₂²×D₁₇	1	1	yes	characteristic
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	#95	C₂²×D₁₇	1	1	yes	characteristic
1083	C₁₇	#36728	1	1	yes	characteristic, complemented, Sylow
1084	C₂⁴	—	17	1	no	—
1085	C₂⁴	—	17	1	no	—
1086	C₂⁴	—	34	2	no	—
1087	C₂⁴	—	34	2	no	—
1088	C₂⁴	—	34	2	no	—
1089	C₂⁴	—	34	2	no	—
1090	C₂⁴	—	34	2	no	—
1091	C₂⁴	—	68	1	no	—
1092	C₂⁴	—	68	1	no	—
1093	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1094	C₂×Q₈	—	2	2	no	—
1095	C₂×Q₈	—	4	1	no	—
1096	C₂×Q₈	—	4	1	no	—
1097	C₂×Q₈	—	34	2	no	—
1098	C₂×Q₈	—	68	1	no	—
1099	C₂×Q₈	—	68	1	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	17	1	no	—
1104	C₂²×C₄	—	17	1	no	—
1105	C₂²×C₄	—	17	4	no	—
1106	C₂²×C₄	—	17	1	no	—
1107	C₂²×C₄	—	17	1	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	—	34	2	no	—
1119	C₂²×C₄	—	34	2	no	—
1120	C₂²×C₄	—	34	2	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	—	34	2	no	—
1130	C₂²×C₄	—	34	2	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	—	68	1	no	—
1142	C₂²×C₄	—	68	1	no	—
1143	C₂²×C₄	—	68	16	no	—
1144	C₂²×C₄	—	68	1	no	—
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	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	34	2	no	—
1175	C₄⋊C₄	—	34	2	no	—
1176	C₄⋊C₄	—	34	2	no	—
1177	C₄⋊C₄	—	34	2	no	—
1178	C₄⋊C₄	—	34	2	no	—
1179	C₄⋊C₄	—	34	2	no	—
1180	C₄⋊C₄	—	34	2	no	—
1181	C₄⋊C₄	—	34	2	no	—
1182	C₄⋊C₄	—	34	2	no	—
1183	C₄⋊C₄	—	34	2	no	—
1184	C₄⋊C₄	—	34	2	no	—
1185	C₄⋊C₄	—	34	2	no	—
1186	C₄⋊C₄	—	34	2	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	C₄⋊C₄	—	68	1	no	—
1195	C₄⋊C₄	—	68	1	no	—
1196	C₄⋊C₄	—	68	1	no	—
1197	C₄⋊C₄	—	68	1	no	—
1198	C₄⋊C₄	—	68	1	no	—
1199	C₄⋊C₄	—	68	1	no	—
1200	C₄⋊C₄	—	68	1	no	—
1201	C₄⋊C₄	—	68	1	no	—
1202	C₄⋊C₄	—	68	1	no	—
1203	C₄⋊C₄	—	68	1	no	—
1204	C₄⋊C₄	—	68	1	no	—
1205	C₄⋊C₄	—	68	1	no	—
1206	C₄⋊C₄	—	68	1	no	—
1207	C₄⋊C₄	—	68	1	no	—
1208	C₄⋊C₄	—	68	1	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	4	1	no	—
1211	C₂²⋊C₄	—	4	1	no	—
1212	C₂²⋊C₄	—	4	1	no	—
1213	C₂²⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	34	2	no	—
1216	C₂²⋊C₄	—	34	2	no	—
1217	C₂²⋊C₄	—	34	2	no	—
1218	C₂²⋊C₄	—	34	2	no	—
1219	C₂²⋊C₄	—	34	2	no	—
1220	C₂²⋊C₄	—	34	2	no	—
1221	C₂²⋊C₄	—	34	2	no	—
1222	C₂²⋊C₄	—	34	2	no	—
1223	C₂²⋊C₄	—	34	2	no	—
1224	C₂²⋊C₄	—	34	2	no	—
1225	C₂²⋊C₄	—	34	2	no	—
1226	C₂²⋊C₄	—	34	2	no	—
1227	C₂²⋊C₄	—	34	2	no	—
1228	C₂²⋊C₄	—	34	2	no	—
1229	C₂²⋊C₄	—	34	2	no	—
1230	C₂²⋊C₄	—	34	2	no	—
1231	C₂²⋊C₄	—	34	2	no	—
1232	C₂²⋊C₄	—	34	2	no	—
1233	C₂²⋊C₄	—	34	2	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	C₂²⋊C₄	—	68	1	no	—
1239	C₂²⋊C₄	—	68	1	no	—
1240	C₂²⋊C₄	—	68	1	no	—
1241	C₄²	—	4	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	68	1	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	—	17	2	no	—
1256	C₂³	—	17	2	no	—
1257	C₂³	—	17	2	no	—
1258	C₂³	—	17	2	no	—
1259	C₂³	—	34	8	no	—
1260	C₂³	—	34	1	no	—
1261	C₂³	—	34	1	no	—
1262	C₂³	—	34	1	no	—
1263	C₂³	—	34	1	no	—
1264	C₂³	—	34	1	no	—
1265	C₂³	—	34	1	no	—
1266	C₂³	—	34	1	no	—
1267	C₂³	—	34	1	no	—
1268	C₂³	—	34	1	no	—
1269	C₂³	—	34	1	no	—
1270	C₂³	—	68	4	no	—
1271	C₂³	—	68	4	no	—
1272	C₂³	—	68	4	no	—
1273	C₂³	—	68	4	no	—
1274	C₂³	—	68	4	no	—
1275	C₂³	—	68	4	no	—
1276	C₂³	#10587694	1	2	yes	—
1277	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1278	Q₈	—	8	2	no	—
1279	Q₈	—	136	2	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	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	—	4	4	no	—
1321	C₂×C₄	—	17	2	no	—
1322	C₂×C₄	—	17	2	no	—
1323	C₂×C₄	—	34	8	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	—	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	—	68	4	no	—
1365	C₂×C₄	—	68	4	no	—
1366	C₂×C₄	—	68	4	no	—
1367	C₂×C₄	—	68	4	no	—
1368	C₂×C₄	—	136	2	no	—
1369	C₂×C₄	—	136	2	no	—
1370	C₂×C₄	—	136	2	no	—
1371	C₂×C₄	—	136	2	no	—
1372	C₂×C₄	#10587691	1	2	yes	—
1373	C₂×C₄	#41×D₁₇	1	2	yes	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	17	4	no	—
1382	C₂²	—	34	2	no	—
1383	C₂²	—	34	2	no	—
1384	C₂²	—	34	2	no	—
1385	C₂²	—	34	2	no	—
1386	C₂²	—	34	2	no	—
1387	C₂²	—	34	2	no	—
1388	C₂²	—	34	2	no	—
1389	C₂²	—	34	2	no	—
1390	C₂²	—	34	2	no	—
1391	C₂²	—	68	16	no	—
1392	C₂²	—	68	1	no	—
1393	C₂²	—	68	1	no	—
1394	C₂²	—	68	1	no	—
1395	C₂²	—	68	1	no	—
1396	C₂²	C₂×#41×D₁₇	1	1	yes	characteristic
1397	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1398	C₂²	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1399	C₂²	C₂×#10587691	1	1	yes	characteristic
1400	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1401	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1402	C₂²	C₂×#10587694	1	1	yes	characteristic
1403	C₄	—	2	2	no	—
1404	C₄	—	2	2	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	1	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	34	2	no	—
1418	C₄	—	34	2	no	—
1419	C₄	—	68	1	no	—
1420	C₄	—	68	1	no	—
1421	C₄	—	68	1	no	—
1422	C₄	—	68	1	no	—
1423	C₄	—	68	1	no	—
1424	C₄	—	68	1	no	—
1425	C₄	—	68	1	no	—
1426	C₄	—	68	1	no	—
1427	C₄	—	68	1	no	—
1428	C₄	—	68	1	no	—
1429	C₄	—	68	1	no	—
1430	C₄	—	68	1	no	—
1431	C₂	—	4	2	no	—
1432	C₂	—	34	4	no	—
1433	C₂	—	68	2	no	—
1434	C₂	D₁₇×#541	1	1	yes	characteristic
1435	C₂	#14542466	1	1	yes	characteristic
1436	C₂	#14542492	1	1	yes	characteristic
1437	C₂	#14543002	1	1	yes	characteristic
1438	C₂	#14543003	1	1	yes	characteristic
1439	C₂	#14543025	1	1	yes	characteristic
1440	C₂	#14543026	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator, socle, cosocle	C₂³×C₁₇	C₂⁵
Fitting	C₁₇×#2704	C₂
prime radical	C₂⁴×D₁₇	C₂³
hypercenter	#2704	D₁₇
hypocenter	C₁₇	#36728
LCS	G ▷ C₂³×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ #2704

Complements

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

N	H ≅ G/N	type
3. #14535987	C₂	semidirect
4. #14535984	C₂	semidirect
5. #14535980	C₂	semidirect
6. #14535979	C₂	semidirect
7. #14535695	C₂	semidirect
8. #14535693	C₂	semidirect
9. #14535692	C₂	semidirect
10. #14535692	C₂	semidirect
11. #14535447	C₂	semidirect
12. #14535438	C₂	semidirect
13. #14535435	C₂	semidirect
14. #14535256	C₂	semidirect
15. #14535249	C₂	semidirect
16. #14535245	C₂	semidirect
17. #14535244	C₂	semidirect
18. #14534897	C₂	semidirect
19. #14534753	C₂	semidirect
24. #14532931	C₂	semidirect
25. #14532926	C₂	semidirect
26. #14532921	C₂	semidirect
27. #14532918	C₂	semidirect
28. #14531518	C₂	semidirect
29. #14531516	C₂	semidirect
31. C₁₇×#2704	C₂	semidirect
37. C₂×#10587575	C₂²	semidirect
38. C₂×#10587575	C₂²	semidirect
39. C₂×#10587575	C₂²	semidirect
49. #11762751	C₂²	semidirect
50. #11762751	C₂²	semidirect
51. #11762750	C₂²	semidirect
52. #11762750	C₂²	semidirect
53. #11762750	C₂²	semidirect
54. #11762748	C₂²	semidirect
55. #11762747	C₂²	semidirect
56. #11762747	C₂²	semidirect
57. #11762743	C₂²	semidirect
58. #11762743	C₂²	semidirect
59. #11762743	C₂²	semidirect
60. #11762743	C₂²	semidirect
61. #11762743	C₂²	semidirect
62. #11762742	C₂²	semidirect
63. #11762742	C₂²	semidirect
64. #11762742	C₂²	semidirect
65. #11762742	C₂²	semidirect
66. #11762742	C₂²	semidirect
67. #11762741	C₂²	semidirect
68. #11762740	C₂²	semidirect
69. #11762740	C₂²	semidirect
70. #11762740	C₂²	semidirect
71. #11762739	C₂²	semidirect
72. #11762739	C₂²	semidirect
73. #11762739	C₂²	semidirect
88. #11762729	C₂²	semidirect
89. #11762729	C₂²	semidirect
90. #11762728	C₂²	semidirect
91. #11762716	C₂²	semidirect
92. #11762714	C₂²	semidirect
93. #11762713	C₂²	semidirect
94. #11762708	C₂²	semidirect
95. #11762706	C₂²	semidirect
96. #11762705	C₂²	semidirect
97. #11762704	C₂²	semidirect
98. #11762704	C₂²	semidirect
99. #11762704	C₂²	semidirect
110. #11762696	C₂²	semidirect
111. #11762696	C₂²	semidirect
112. #11762695	C₂²	semidirect
113. #11762695	C₂²	semidirect
114. #11762695	C₂²	semidirect
115. #11762694	C₂²	semidirect
116. #11762693	C₂²	semidirect
117. #11762693	C₂²	semidirect
118. #11762693	C₂²	semidirect
119. #11762693	C₂²	semidirect
120. #11762692	C₂²	semidirect
121. #11762692	C₂²	semidirect
122. #11762691	C₂²	semidirect
123. #11762691	C₂²	semidirect
124. #11762690	C₂²	semidirect
125. #11762690	C₂²	semidirect
172. C₂×C₁₇×#125	C₂²	semidirect
174. C₁₇×#398	C₂²	semidirect
175. C₁₇×#398	C₂²	semidirect
176. C₁₇×#398	C₂²	semidirect
179. C₁₇×#395	C₂²	semidirect
180. C₁₇×#391	C₂²	semidirect
181. C₁₇×#389	C₂²	semidirect
182. C₁₇×#389	C₂²	semidirect
667. #2704	D₁₇	semidirect
750. C₂×#125	C₂×D₁₇	semidirect
786. #398	C₂×D₁₇	semidirect
787. #398	C₂×D₁₇	semidirect
788. #398	C₂×D₁₇	semidirect
808. #395	C₂×D₁₇	semidirect
812. #391	C₂×D₁₇	semidirect
819. #389	C₂×D₁₇	semidirect
820. #389	C₂×D₁₇	semidirect
1083. C₁₇	#36728	semidirect

Maximal subgroups

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

subgroup	index
#14537070	2
#14537068	2
#14535987	2
#14535984	2
#14535980	2
#14535979	2
#14535695	2
#14535693	2
#14535692	2
#14535447	2
#14535438	2
#14535435	2
#14535256	2
#14535249	2
#14535245	2
#14535244	2
#14534897	2
#14534753	2
#14533036	2
#14533034	2
#14533033	2
#14532931	2
#14532926	2
#14532921	2
#14532918	2
#14531518	2
#14531516	2
D₁₇×#380	2
C₁₇×#2704	2
#36728	17