Subgroups — #17199875

Order 4352.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14531976	C₂	1	1	yes	maximal, characteristic, complemented
2	#14531970	C₂	1	1	yes	maximal, characteristic, complemented
3	#14531950	C₂	1	1	yes	maximal, characteristic, complemented
4	#14531932	C₂	1	1	yes	maximal, characteristic
5	#14531920	C₂	1	1	yes	maximal, characteristic
6	#14531908	C₂	1	1	yes	maximal, characteristic, complemented
7	#14531890	C₂	1	1	yes	maximal, characteristic, complemented
8	#14531884	C₂	1	1	yes	maximal, characteristic, complemented
9	#14531869	C₂	1	1	yes	maximal, characteristic, complemented
10	#14531757	C₂	1	1	yes	maximal, characteristic
11	#14531741	C₂	1	1	yes	maximal, characteristic, complemented
12	#14531677	C₂	1	1	yes	maximal, characteristic, complemented
13	#14531669	C₂	1	1	yes	maximal, characteristic, complemented
14	#14531661	C₂	1	1	yes	maximal, characteristic, complemented
15	#14531644	C₂	1	1	yes	maximal, characteristic, complemented
16	#14531590	C₂	1	1	yes	maximal, characteristic, complemented
17	#14531590	C₂	1	1	yes	maximal, characteristic, complemented
18	#14531578	C₂	1	1	yes	maximal, characteristic
19	#14531578	C₂	1	1	yes	maximal, characteristic
20	#14531563	C₂	1	1	yes	maximal, characteristic, complemented
21	#14531563	C₂	1	1	yes	maximal, characteristic, complemented
22	#14531542	C₂	1	1	yes	maximal, characteristic, complemented
23	#14531542	C₂	1	1	yes	maximal, characteristic, complemented
24	#14531435	C₂	1	1	yes	maximal, characteristic, complemented
25	#14531417	C₂	1	1	yes	maximal, characteristic
26	#14531393	C₂	1	1	yes	maximal, characteristic, complemented
27	#14531387	C₂	1	1	yes	maximal, characteristic, complemented
28	#125×Dic₁₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#14531282	C₂	1	1	yes	maximal, characteristic, complemented
30	#14531282	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₇×#552	C₂	1	1	yes	maximal, characteristic
32	#11762716	C₂²	1	1	yes	characteristic
33	#11762716	C₂²	1	1	yes	characteristic
34	#11762716	C₂²	1	1	yes	characteristic
35	#11762716	C₂²	1	1	yes	characteristic
36	#11762712	C₂²	1	1	yes	characteristic
37	#11762712	C₂²	1	1	yes	characteristic
38	#11762708	C₂²	1	1	yes	characteristic
39	#11762708	C₂²	1	1	yes	characteristic
40	#11762708	C₂²	1	1	yes	characteristic
41	#11762708	C₂²	1	1	yes	characteristic
42	#11762708	C₂²	1	1	yes	characteristic
43	#11762708	C₂²	1	1	yes	characteristic
44	#11762708	C₂²	1	1	yes	characteristic
45	#11762708	C₂²	1	1	yes	characteristic
46	#11762708	C₂²	1	1	yes	characteristic
47	#11762708	C₂²	1	1	yes	characteristic
48	#11762708	C₂²	1	1	yes	characteristic
49	#11762708	C₂²	1	1	yes	characteristic
50	#11762702	C₂²	1	1	yes	characteristic
51	#11762702	C₂²	1	1	yes	characteristic
52	#11762702	C₂²	1	1	yes	characteristic
53	#11762702	C₂²	1	1	yes	characteristic
54	#11762702	C₂²	1	1	yes	characteristic
55	#11762702	C₂²	1	1	yes	characteristic
56	#11762702	C₂²	1	1	yes	characteristic
57	#11762702	C₂²	1	1	yes	characteristic
58	#11762702	C₂²	1	1	yes	characteristic
59	#11762702	C₂²	1	1	yes	characteristic
60	#11762702	C₂²	1	1	yes	characteristic
61	#11762702	C₂²	1	1	yes	characteristic
62	#11762702	C₂²	1	1	yes	characteristic
63	#11762702	C₂²	1	1	yes	characteristic
64	#11762702	C₂²	1	1	yes	characteristic
65	#11762702	C₂²	1	1	yes	characteristic
66	#11762702	C₂²	1	1	yes	characteristic
67	#11762702	C₂²	1	1	yes	characteristic
68	#11762702	C₂²	1	1	yes	characteristic
69	#11762702	C₂²	1	1	yes	characteristic
70	#11762702	C₂²	1	1	yes	characteristic
71	#11762702	C₂²	1	1	yes	characteristic
72	#11762695	C₂²	1	1	yes	characteristic
73	#11762695	C₂²	1	1	yes	characteristic
74	#11762695	C₂²	1	1	yes	characteristic
75	#11762695	C₂²	1	1	yes	characteristic
76	#11762695	C₂²	1	1	yes	characteristic
77	#11762695	C₂²	1	1	yes	characteristic
78	#11762695	C₂²	1	1	yes	characteristic
79	#11762695	C₂²	1	1	yes	characteristic
80	#11762695	C₂²	1	1	yes	characteristic
81	#11762695	C₂²	1	1	yes	characteristic
82	#11762695	C₂²	1	1	yes	characteristic
83	#11762695	C₂²	1	1	yes	characteristic
84	#11762695	C₂²	1	1	yes	characteristic
85	#11762695	C₂²	1	1	yes	characteristic
86	#11762695	C₂²	1	1	yes	characteristic
87	#11762695	C₂²	1	1	yes	characteristic
88	#11762695	C₂²	1	1	yes	characteristic
89	#11762695	C₂²	1	1	yes	characteristic
90	#11762695	C₂²	1	1	yes	characteristic
91	#11762695	C₂²	1	1	yes	characteristic
92	#11762695	C₂²	1	1	yes	characteristic
93	#11762695	C₂²	1	1	yes	characteristic
94	#11762695	C₂²	1	1	yes	characteristic
95	#11762695	C₂²	1	1	yes	characteristic
96	#11762695	C₂²	1	1	yes	characteristic
97	#11762695	C₂²	1	1	yes	characteristic
98	#11762695	C₂²	1	1	yes	characteristic
99	#11762695	C₂²	1	1	yes	characteristic
100	#11762695	C₂²	1	1	yes	characteristic
101	#11762695	C₂²	1	1	yes	characteristic
102	#11762695	C₂²	1	1	yes	characteristic
103	#11762695	C₂²	1	1	yes	characteristic
104	#11762695	C₂²	1	1	yes	characteristic
105	#11762695	C₂²	1	1	yes	characteristic
106	#11762695	C₂²	1	1	yes	characteristic
107	#11762695	C₂²	1	1	yes	characteristic
108	#11762695	C₂²	1	1	yes	characteristic
109	#11762695	C₂²	1	1	yes	characteristic
110	#11762689	C₂²	1	1	yes	characteristic
111	#11762689	C₂²	1	1	yes	characteristic
112	#11762684	C₂²	1	1	yes	characteristic
113	#11762684	C₂²	1	1	yes	characteristic
114	#11762684	C₂²	1	1	yes	characteristic
115	#11762684	C₂²	1	1	yes	characteristic
116	#11762684	C₂²	1	1	yes	characteristic
117	#11762684	C₂²	1	1	yes	characteristic
118	#11762679	C₂²	1	1	yes	characteristic
119	#11762677	C₂²	1	1	yes	characteristic
120	#11762677	C₂²	1	1	yes	characteristic
121	#11762677	C₂²	1	1	yes	characteristic
122	#11762675	C₂²	1	1	yes	characteristic
123	#11762675	C₂²	1	1	yes	characteristic
124	#11762675	C₂²	1	1	yes	characteristic
125	#11762675	C₂²	1	1	yes	characteristic
126	#11762675	C₂²	1	1	yes	characteristic
127	#11762672	C₂²	1	1	yes	characteristic
128	#11762672	C₂²	1	1	yes	characteristic
129	#11762672	C₂²	1	1	yes	characteristic
130	#11762669	C₂²	1	1	yes	characteristic
131	#11762669	C₂²	1	1	yes	characteristic
132	#11762669	C₂²	1	1	yes	characteristic
133	#11762669	C₂²	1	1	yes	characteristic
134	#11762669	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
154	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
155	C₄×C₄⋊Dic₁₇	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₁₇	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₁₇	C₂²	1	1	yes	characteristic
167	#11762655	C₂²	1	1	yes	characteristic
168	#11762655	C₂²	1	1	yes	characteristic
169	#11762655	C₂²	1	1	yes	characteristic
170	C₂×#10587502	C₂²	1	1	yes	characteristic
171	C₄²×Dic₁₇	C₂²	1	1	yes	characteristic
172	C₁₇×#552	C₄	1	16	yes	complemented
173	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
174	C₂×C₁₇×#126	C₂²	1	1	yes	characteristic
175	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
176	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
177	C₂×C₁₇×#125	C₂²	1	1	yes	characteristic
178	C₂×C₁₇×#123	C₂²	1	1	yes	characteristic
179	C₂×C₁₇×#123	C₂²	1	1	yes	characteristic
180	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
181	C₂×C₁₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
182	C₂×C₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
183	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
184	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
185	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
186	C₂×C₁₇×#117	C₂²	1	1	yes	characteristic
187	C₂²×C₄⋊C₄×C₁₇	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₇	C₂³	1	1	yes	characteristic
196	C₁₇×#126	C₂×C₄	1	8	yes	—
197	C₁₇×#126	C₂×C₄	1	8	yes	—
198	C₁₇×#125	C₂×C₄	1	8	yes	complemented
199	C₁₇×#125	C₂×C₄	1	8	yes	complemented
200	C₁₇×#125	C₂×C₄	1	8	yes	complemented
201	C₁₇×#123	C₂×C₄	1	8	yes	—
202	C₁₇×#123	C₂×C₄	1	8	yes	—
203	C₁₇×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
204	C₁₇×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
205	C₄×Q₈×C₁₇	C₂×C₄	1	8	yes	complemented
206	C₄×D₄×C₁₇	C₂×C₄	1	8	yes	—
207	C₁₇×#117	C₂×C₄	1	8	yes	—
208	C₁₇×#117	C₂×C₄	1	8	yes	complemented
209	C₁₇×#117	C₂×C₄	1	8	yes	complemented
210	C₂×C₄⋊C₄×C₁₇	C₂×C₄	1	8	yes	complemented
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×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
256	C₂×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×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×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
293	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	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₇	C₂³	1	1	yes	characteristic
302	#10587502	C₂³	1	1	yes	characteristic
303	#10587502	C₂³	1	1	yes	characteristic
304	#10587502	C₂³	1	1	yes	characteristic
305	#10587502	C₂³	1	1	yes	characteristic
306	#10587502	C₂³	1	1	yes	characteristic
307	#10587502	C₂³	1	1	yes	characteristic
308	#10587502	C₂³	1	1	yes	characteristic
309	#10587502	C₂³	1	1	yes	characteristic
310	#10587502	C₂³	1	1	yes	characteristic
311	#10587502	C₂³	1	1	yes	characteristic
312	#10587502	C₂³	1	1	yes	characteristic
313	#10587502	C₂³	1	1	yes	characteristic
314	#10587502	C₂³	1	1	yes	characteristic
315	#10587502	C₂³	1	1	yes	characteristic
316	#10587502	C₂³	1	1	yes	characteristic
317	#10587502	C₂³	1	1	yes	characteristic
318	#10587502	C₂³	1	1	yes	characteristic
319	#10587502	C₂³	1	1	yes	characteristic
320	#10587502	C₂³	1	1	yes	characteristic
321	#10587502	C₂³	1	1	yes	characteristic
322	#10587502	C₂³	1	1	yes	characteristic
323	#10587502	C₂³	1	1	yes	characteristic
324	#10587502	C₂³	1	1	yes	characteristic
325	#10587502	C₂³	1	1	yes	characteristic
326	#10587502	C₂³	1	1	yes	characteristic
327	#10587502	C₂³	1	1	yes	characteristic
328	#10587502	C₂³	1	1	yes	characteristic
329	#10587502	C₂³	1	1	yes	characteristic
330	#10587502	C₂³	1	1	yes	characteristic
331	#10587502	C₂³	1	1	yes	characteristic
332	#10587502	C₂³	1	1	yes	characteristic
333	#10587502	C₂³	1	1	yes	characteristic
334	#10587502	C₂³	1	1	yes	characteristic
335	#10587502	C₂³	1	1	yes	characteristic
336	#10587502	C₂³	1	1	yes	characteristic
337	#10587502	C₂³	1	1	yes	characteristic
338	#10587502	C₂³	1	1	yes	characteristic
339	#10587502	C₂³	1	1	yes	characteristic
340	#10587502	C₂³	1	1	yes	characteristic
341	#10587502	C₂³	1	1	yes	characteristic
342	#10587502	C₂³	1	1	yes	characteristic
343	#10587502	C₂³	1	1	yes	characteristic
344	#10587502	C₂³	1	1	yes	characteristic
345	#10587502	C₂³	1	1	yes	characteristic
346	#10587502	C₂³	1	1	yes	characteristic
347	#10587502	C₂³	1	1	yes	characteristic
348	#10587502	C₂³	1	1	yes	characteristic
349	#10587502	C₂³	1	1	yes	characteristic
350	#10587502	C₂³	1	1	yes	characteristic
351	#10587502	C₂³	1	1	yes	characteristic
352	#10587502	C₂³	1	1	yes	characteristic
353	#10587502	C₂³	1	1	yes	characteristic
354	#10587502	C₂³	1	1	yes	characteristic
355	#10587502	C₂³	1	1	yes	characteristic
356	#10587502	C₂³	1	1	yes	characteristic
357	#10587502	C₂³	1	1	yes	characteristic
358	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₁₇	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₇	—	4	1	no	—
361	C₂×Q₈×C₁₇	—	4	1	no	—
362	C₂×Q₈×C₁₇	C₂²×C₄	1	4	yes	—
363	C₂×D₄×C₁₇	—	4	1	no	—
364	C₂×D₄×C₁₇	—	4	1	no	—
365	C₂×D₄×C₁₇	C₂²×C₄	1	4	yes	—
366	C₂²×C₄×C₁₇	—	4	1	no	—
367	C₂²×C₄×C₁₇	—	4	1	no	—
368	C₂²×C₄×C₁₇	—	4	1	no	—
369	C₂²×C₄×C₁₇	—	4	1	no	—
370	C₂²×C₄×C₁₇	—	4	1	no	—
371	C₂²×C₄×C₁₇	—	4	1	no	—
372	C₂²×C₄×C₁₇	—	4	1	no	—
373	C₂²×C₄×C₁₇	—	4	1	no	—
374	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
375	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
376	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
377	C₂²×C₄×C₁₇	C₂²×C₄	1	4	yes	—
378	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
385	C₂²×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×Dic₁₇	—	4	1	no	—
392	C₂²×Dic₁₇	—	4	1	no	—
393	C₂²×Dic₁₇	—	4	1	no	—
394	C₂²×Dic₁₇	—	4	1	no	—
395	C₂²×Dic₁₇	—	4	1	no	—
396	C₂²×Dic₁₇	—	4	1	no	—
397	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₇	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
414	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
415	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
416	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
417	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
418	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
419	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
420	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
421	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
422	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
423	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
424	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
425	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
426	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
427	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
428	C₄⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
429	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
430	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
431	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
432	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
433	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
434	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
435	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
436	C₂²⋊C₄×C₁₇	C₂²×C₄	1	4	yes	—
437	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
438	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
439	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
440	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
441	C₄²×C₁₇	C₂²×C₄	1	4	yes	—
442	C₂²⋊Dic₁₇	—	2	2	no	—
443	C₂²⋊Dic₁₇	—	2	2	no	—
444	C₂²⋊Dic₁₇	—	4	1	no	—
445	C₂²⋊Dic₁₇	—	4	1	no	—
446	C₂²⋊Dic₁₇	—	4	1	no	—
447	C₂²⋊Dic₁₇	—	4	1	no	—
448	C₂²⋊Dic₁₇	—	4	1	no	—
449	C₂²⋊Dic₁₇	—	4	1	no	—
450	C₂²⋊Dic₁₇	—	4	1	no	—
451	C₂²⋊Dic₁₇	—	4	1	no	—
452	C₂²⋊Dic₁₇	—	4	1	no	—
453	C₂²⋊Dic₁₇	—	4	1	no	—
454	C₂²⋊Dic₁₇	—	4	1	no	—
455	C₂²⋊Dic₁₇	—	4	1	no	—
456	C₄⋊Dic₁₇	—	2	2	no	—
457	C₄⋊Dic₁₇	—	2	2	no	—
458	C₄⋊Dic₁₇	—	4	1	no	—
459	C₄⋊Dic₁₇	—	4	1	no	—
460	C₄⋊Dic₁₇	—	4	1	no	—
461	C₄⋊Dic₁₇	—	4	1	no	—
462	C₄⋊Dic₁₇	—	4	1	no	—
463	C₄⋊Dic₁₇	—	4	1	no	—
464	C₄⋊Dic₁₇	—	4	1	no	—
465	C₄⋊Dic₁₇	—	4	1	no	—
466	C₄⋊Dic₁₇	—	4	1	no	—
467	C₄⋊Dic₁₇	—	4	1	no	—
468	C₄⋊Dic₁₇	—	4	1	no	—
469	C₄⋊Dic₁₇	—	4	1	no	—
470	C₄⋊Dic₁₇	—	4	1	no	—
471	C₄⋊Dic₁₇	—	4	1	no	—
472	C₄⋊Dic₁₇	—	4	1	no	—
473	C₄⋊Dic₁₇	—	4	1	no	—
474	C₄⋊Dic₁₇	—	4	1	no	—
475	C₄⋊Dic₁₇	—	4	1	no	—
476	C₄⋊Dic₁₇	—	4	1	no	—
477	C₄⋊Dic₁₇	—	4	1	no	—
478	C₄⋊Dic₁₇	—	4	1	no	—
479	C₄⋊Dic₁₇	—	4	1	no	—
480	C₄×Dic₁₇	—	2	2	no	—
481	C₄×Dic₁₇	—	4	1	no	—
482	C₄×Dic₁₇	—	4	1	no	—
483	C₄×Dic₁₇	—	4	1	no	—
484	C₄×Dic₁₇	—	4	1	no	—
485	C₄×Dic₁₇	—	4	1	no	—
486	C₄×Dic₁₇	—	4	1	no	—
487	C₄×Dic₁₇	—	4	1	no	—
488	C₄×Dic₁₇	—	4	1	no	—
489	C₄×Dic₁₇	—	4	1	no	—
490	C₄×Dic₁₇	—	4	1	no	—
491	C₄×Dic₁₇	—	4	1	no	—
492	C₄×Dic₁₇	—	4	1	no	—
493	C₄×Dic₁₇	—	4	1	no	—
494	C₄×Dic₁₇	—	4	1	no	—
495	C₄×Dic₁₇	—	4	1	no	—
496	C₄×Dic₁₇	—	4	1	no	—
497	C₄×Dic₁₇	—	4	1	no	—
498	C₄×Dic₁₇	—	4	1	no	—
499	C₄×Dic₁₇	—	4	1	no	—
500	C₄×Dic₁₇	—	4	1	no	—
501	C₄×Dic₁₇	—	4	1	no	—
502	C₄×Dic₁₇	—	4	1	no	—
503	C₄×Dic₁₇	—	4	1	no	—
504	#34501	—	17	1	no	maximal, Sylow
505	C₂³×C₁₇	—	2	1	no	—
506	C₂³×C₁₇	—	2	1	no	—
507	C₂³×C₁₇	—	2	1	no	—
508	C₂³×C₁₇	—	2	1	no	—
509	C₂³×C₁₇	—	2	1	no	—
510	C₂³×C₁₇	—	2	1	no	—
511	C₂³×C₁₇	—	2	1	no	—
512	C₂³×C₁₇	—	2	1	no	—
513	C₂³×C₁₇	—	2	1	no	—
514	C₂³×C₁₇	—	2	1	no	—
515	C₂³×C₁₇	—	2	1	no	—
516	C₂³×C₁₇	—	2	1	no	—
517	C₂³×C₁₇	C₂³×C₄	1	2	yes	—
518	C₂³×C₁₇	C₂³×C₄	1	2	yes	—
519	C₂³×C₁₇	C₂⁵	1	1	yes	characteristic
520	Q₈×C₁₇	—	4	4	no	—
521	D₄×C₁₇	—	4	4	no	—
522	C₂×C₄×C₁₇	—	2	1	no	—
523	C₂×C₄×C₁₇	—	2	1	no	—
524	C₂×C₄×C₁₇	—	2	1	no	—
525	C₂×C₄×C₁₇	—	2	1	no	—
526	C₂×C₄×C₁₇	—	2	1	no	—
527	C₂×C₄×C₁₇	—	2	1	no	—
528	C₂×C₄×C₁₇	—	2	1	no	—
529	C₂×C₄×C₁₇	—	2	1	no	—
530	C₂×C₄×C₁₇	—	2	1	no	—
531	C₂×C₄×C₁₇	—	2	1	no	—
532	C₂×C₄×C₁₇	—	2	1	no	—
533	C₂×C₄×C₁₇	—	2	1	no	—
534	C₂×C₄×C₁₇	—	2	1	no	—
535	C₂×C₄×C₁₇	—	2	1	no	—
536	C₂×C₄×C₁₇	—	2	1	no	—
537	C₂×C₄×C₁₇	—	2	1	no	—
538	C₂×C₄×C₁₇	—	2	1	no	—
539	C₂×C₄×C₁₇	—	2	1	no	—
540	C₂×C₄×C₁₇	—	2	1	no	—
541	C₂×C₄×C₁₇	—	2	1	no	—
542	C₂×C₄×C₁₇	—	2	1	no	—
543	C₂×C₄×C₁₇	—	2	1	no	—
544	C₂×C₄×C₁₇	—	2	1	no	—
545	C₂×C₄×C₁₇	—	2	1	no	—
546	C₂×C₄×C₁₇	—	2	1	no	—
547	C₂×C₄×C₁₇	—	2	1	no	—
548	C₂×C₄×C₁₇	—	4	4	no	—
549	C₂×C₄×C₁₇	—	4	4	no	—
550	C₂×C₄×C₁₇	—	4	4	no	—
551	C₂×C₄×C₁₇	—	4	4	no	—
552	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
553	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
554	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
555	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
557	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
559	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
560	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
561	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
562	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
563	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
564	C₂×C₄×C₁₇	C₂³×C₄	1	2	yes	—
565	C₂×Dic₁₇	—	2	1	no	—
566	C₂×Dic₁₇	—	2	1	no	—
567	C₂×Dic₁₇	—	2	1	no	—
568	C₂×Dic₁₇	—	2	1	no	—
569	C₂×Dic₁₇	—	2	1	no	—
570	C₂×Dic₁₇	—	2	1	no	—
571	C₂×Dic₁₇	—	2	1	no	—
572	C₂×Dic₁₇	—	2	1	no	—
573	C₂×Dic₁₇	—	2	1	no	—
574	C₂×Dic₁₇	—	2	1	no	—
575	C₂×Dic₁₇	—	2	1	no	—
576	C₂×Dic₁₇	—	2	1	no	—
577	C₂×Dic₁₇	—	2	1	no	—
578	C₂×Dic₁₇	—	2	1	no	—
579	C₂×Dic₁₇	—	2	1	no	—
580	C₂×Dic₁₇	—	2	1	no	—
581	C₂×Dic₁₇	—	2	1	no	—
582	C₂×Dic₁₇	—	2	1	no	—
583	C₂×Dic₁₇	—	2	1	no	—
584	C₂×Dic₁₇	—	2	1	no	—
585	C₂×Dic₁₇	—	2	1	no	—
586	C₂×Dic₁₇	—	2	1	no	—
587	C₂×Dic₁₇	—	2	1	no	—
588	C₂×Dic₁₇	—	2	1	no	—
589	C₂×Dic₁₇	—	2	1	no	—
590	C₂×Dic₁₇	—	2	1	no	—
591	C₂×Dic₁₇	—	2	1	no	—
592	C₂×Dic₁₇	—	2	1	no	—
593	C₂×Dic₁₇	—	2	1	no	—
594	C₂×Dic₁₇	—	2	1	no	—
595	C₂×Dic₁₇	—	2	1	no	—
596	C₂×Dic₁₇	—	2	1	no	—
597	C₂×Dic₁₇	—	2	1	no	—
598	C₂×Dic₁₇	—	2	1	no	—
599	C₂×Dic₁₇	—	2	1	no	—
600	C₂×Dic₁₇	—	2	1	no	—
601	C₂×Dic₁₇	—	2	1	no	—
602	C₂×Dic₁₇	—	2	1	no	—
603	C₂×Dic₁₇	—	2	1	no	—
604	C₂×Dic₁₇	—	2	1	no	—
605	C₂×Dic₁₇	—	2	1	no	—
606	C₂×Dic₁₇	—	2	1	no	—
607	C₂×Dic₁₇	—	2	1	no	—
608	C₂×Dic₁₇	—	2	1	no	—
609	C₂×Dic₁₇	—	2	1	no	—
610	C₂×Dic₁₇	—	2	1	no	—
611	C₂×Dic₁₇	—	2	1	no	—
612	C₂×Dic₁₇	—	8	2	no	—
613	C₂×Dic₁₇	—	8	2	no	—
614	C₂×Dic₁₇	2₋¹⁺⁴	1	2	yes	—
615	C₂×#552	D₁₇	1	1	yes	characteristic
616	#2383	—	17	1	no	—
617	#2382	—	17	1	no	—
618	#2378	—	17	1	no	—
619	#2376	—	17	1	no	—
620	#2374	—	17	1	no	—
621	#2373	—	17	1	no	—
622	#2371	—	17	1	no	—
623	#2370	—	17	1	no	—
624	#2368	—	17	1	no	—
625	#2357	—	17	1	no	—
626	#2355	—	17	1	no	—
627	#2347	—	17	1	no	—
628	#2346	—	17	1	no	—
629	#2345	—	17	1	no	—
630	#2343	—	17	1	no	—
631	#2336	—	17	1	no	—
632	#2336	—	17	1	no	—
633	#2335	—	17	1	no	—
634	#2335	—	17	1	no	—
635	#2334	—	17	1	no	—
636	#2334	—	17	1	no	—
637	#2332	—	17	1	no	—
638	#2332	—	17	1	no	—
639	#2320	—	17	1	no	—
640	#2318	—	17	1	no	—
641	#2314	—	17	1	no	—
642	#2313	—	17	1	no	—
643	C₄×#125	—	17	1	no	—
644	#2298	—	17	1	no	—
645	#2298	—	17	1	no	—
646	C₂²×C₁₇	—	2	2	no	—
647	C₂²×C₁₇	—	2	2	no	—
648	C₂²×C₁₇	—	2	2	no	—
649	C₂²×C₁₇	—	2	2	no	—
650	C₂²×C₁₇	—	2	2	no	—
651	C₂²×C₁₇	—	2	2	no	—
652	C₂²×C₁₇	—	4	1	no	—
653	C₂²×C₁₇	—	4	1	no	—
654	C₂²×C₁₇	—	4	1	no	—
655	C₂²×C₁₇	—	4	1	no	—
656	C₂²×C₁₇	—	4	1	no	—
657	C₂²×C₁₇	—	4	1	no	—
658	C₂²×C₁₇	—	4	1	no	—
659	C₂²×C₁₇	—	4	1	no	—
660	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
661	C₂²×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
662	C₂²×C₁₇	#585	1	1	yes	characteristic
663	C₂²×C₁₇	#585	1	1	yes	characteristic
664	C₂²×C₁₇	#585	1	1	yes	characteristic
665	C₂²×C₁₇	#585	1	1	yes	characteristic
666	C₂²×C₁₇	#585	1	1	yes	characteristic
667	C₄×C₁₇	—	2	2	no	—
668	C₄×C₁₇	—	2	2	no	—
669	C₄×C₁₇	—	2	2	no	—
670	C₄×C₁₇	—	2	2	no	—
671	C₄×C₁₇	—	2	2	no	—
672	C₄×C₁₇	—	2	2	no	—
673	C₄×C₁₇	—	2	2	no	—
674	C₄×C₁₇	—	2	2	no	—
675	C₄×C₁₇	—	2	2	no	—
676	C₄×C₁₇	—	2	2	no	—
677	C₄×C₁₇	—	2	2	no	—
678	C₄×C₁₇	—	2	2	no	—
679	C₄×C₁₇	—	2	2	no	—
680	Dic₁₇	—	2	2	no	—
681	Dic₁₇	—	4	1	no	—
682	Dic₁₇	—	4	1	no	—
683	Dic₁₇	—	4	1	no	—
684	Dic₁₇	—	4	1	no	—
685	Dic₁₇	—	4	1	no	—
686	Dic₁₇	—	4	1	no	—
687	Dic₁₇	—	4	1	no	—
688	Dic₁₇	—	4	1	no	—
689	Dic₁₇	—	4	1	no	—
690	Dic₁₇	—	4	1	no	—
691	Dic₁₇	—	4	1	no	—
692	Dic₁₇	—	4	1	no	—
693	Dic₁₇	—	4	1	no	—
694	Dic₁₇	—	4	1	no	—
695	Dic₁₇	—	4	1	no	—
696	#552	Dic₁₇	1	16	yes	complemented
697	C₂×#126	C₂×D₁₇	1	1	yes	characteristic
698	C₂×#126	C₂×D₁₇	1	1	yes	characteristic
699	C₂×#125	C₂×D₁₇	1	1	yes	characteristic
700	C₂×#125	C₂×D₁₇	1	1	yes	characteristic
701	C₂×#125	C₂×D₁₇	1	1	yes	characteristic
702	C₂×#123	C₂×D₁₇	1	1	yes	characteristic
703	C₂×#123	C₂×D₁₇	1	1	yes	characteristic
704	C₂×C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
705	C₂×C₂²⋊Q₈	C₂×D₁₇	1	1	yes	characteristic
706	C₂×C₄×Q₈	C₂×D₁₇	1	1	yes	characteristic
707	C₂×C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
708	C₂×#117	C₂×D₁₇	1	1	yes	characteristic
709	C₂×#117	C₂×D₁₇	1	1	yes	characteristic
710	C₂×#117	C₂×D₁₇	1	1	yes	characteristic
711	C₂²×C₄⋊C₄	C₂×D₁₇	1	1	yes	characteristic
712	#391	—	17	1	no	—
713	#391	—	17	1	no	—
714	#391	—	17	1	no	—
715	#391	—	17	1	no	—
716	#390	—	17	1	no	—
717	#390	—	17	1	no	—
718	#389	—	17	1	no	—
719	#389	—	17	1	no	—
720	#389	—	17	1	no	—
721	#389	—	17	1	no	—
722	#389	—	17	1	no	—
723	#389	—	17	1	no	—
724	#389	—	17	1	no	—
725	#389	—	17	1	no	—
726	#389	—	17	1	no	—
727	#389	—	17	1	no	—
728	#389	—	17	1	no	—
729	#389	—	17	1	no	—
730	#388	—	17	1	no	—
731	#388	—	17	1	no	—
732	#388	—	17	1	no	—
733	#388	—	17	1	no	—
734	#388	—	17	1	no	—
735	#388	—	17	1	no	—
736	#388	—	17	1	no	—
737	#388	—	17	1	no	—
738	#388	—	17	1	no	—
739	#388	—	17	1	no	—
740	#388	—	17	1	no	—
741	#388	—	17	1	no	—
742	#388	—	17	1	no	—
743	#388	—	17	1	no	—
744	#388	—	17	1	no	—
745	#388	—	17	1	no	—
746	#388	—	17	1	no	—
747	#388	—	17	1	no	—
748	#388	—	17	1	no	—
749	#388	—	17	1	no	—
750	#388	—	17	1	no	—
751	#388	—	17	1	no	—
752	#387	—	17	1	no	—
753	#387	—	17	1	no	—
754	#387	—	17	1	no	—
755	#387	—	17	1	no	—
756	#387	—	17	1	no	—
757	#387	—	17	1	no	—
758	#387	—	17	1	no	—
759	#387	—	17	1	no	—
760	#387	—	17	1	no	—
761	#387	—	17	1	no	—
762	#387	—	17	1	no	—
763	#387	—	17	1	no	—
764	#387	—	17	1	no	—
765	#387	—	17	1	no	—
766	#387	—	17	1	no	—
767	#387	—	17	1	no	—
768	#387	—	17	1	no	—
769	#387	—	17	1	no	—
770	#387	—	17	1	no	—
771	#387	—	17	1	no	—
772	#387	—	17	1	no	—
773	#387	—	17	1	no	—
774	#387	—	17	1	no	—
775	#387	—	17	1	no	—
776	#387	—	17	1	no	—
777	#387	—	17	1	no	—
778	#387	—	17	1	no	—
779	#387	—	17	1	no	—
780	#387	—	17	1	no	—
781	#387	—	17	1	no	—
782	#387	—	17	1	no	—
783	#387	—	17	1	no	—
784	#387	—	17	1	no	—
785	#387	—	17	1	no	—
786	#387	—	17	1	no	—
787	#387	—	17	1	no	—
788	#387	—	17	1	no	—
789	#387	—	17	1	no	—
790	#386	—	17	1	no	—
791	#386	—	17	1	no	—
792	#385	—	17	1	no	—
793	#385	—	17	1	no	—
794	#385	—	17	1	no	—
795	#385	—	17	1	no	—
796	#385	—	17	1	no	—
797	#385	—	17	1	no	—
798	#384	—	17	1	no	—
799	#383	—	17	1	no	—
800	#383	—	17	1	no	—
801	#383	—	17	1	no	—
802	#382	—	17	1	no	—
803	#382	—	17	1	no	—
804	#382	—	17	1	no	—
805	#382	—	17	1	no	—
806	#382	—	17	1	no	—
807	#381	—	17	1	no	—
808	#381	—	17	1	no	—
809	#381	—	17	1	no	—
810	#380	—	17	1	no	—
811	#380	—	17	1	no	—
812	#380	—	17	1	no	—
813	#380	—	17	1	no	—
814	#380	—	17	1	no	—
815	C₄×C₄⋊C₄	—	17	1	no	—
816	C₄×C₄⋊C₄	—	17	1	no	—
817	C₄×C₄⋊C₄	—	17	1	no	—
818	C₄×C₄⋊C₄	—	17	1	no	—
819	C₄×C₄⋊C₄	—	17	1	no	—
820	C₄×C₄⋊C₄	—	17	1	no	—
821	C₄×C₄⋊C₄	—	17	1	no	—
822	C₄×C₄⋊C₄	—	17	1	no	—
823	C₄×C₄⋊C₄	—	17	1	no	—
824	C₄×C₄⋊C₄	—	17	1	no	—
825	C₄×C₄⋊C₄	—	17	1	no	—
826	C₄×C₄⋊C₄	—	17	1	no	—
827	C₄×C₄⋊C₄	—	17	1	no	—
828	C₄×C₄⋊C₄	—	17	1	no	—
829	C₄×C₄⋊C₄	—	17	1	no	—
830	C₄×C₄⋊C₄	—	17	1	no	—
831	C₄×C₄⋊C₄	—	17	1	no	—
832	C₄×C₄⋊C₄	—	17	1	no	—
833	C₄×C₄⋊C₄	—	17	1	no	—
834	C₄×C₄⋊C₄	—	17	1	no	—
835	C₄×C₄⋊C₄	—	17	1	no	—
836	C₄×C₂²⋊C₄	—	17	1	no	—
837	C₄×C₂²⋊C₄	—	17	1	no	—
838	C₄×C₂²⋊C₄	—	17	1	no	—
839	C₄×C₂²⋊C₄	—	17	1	no	—
840	C₄×C₂²⋊C₄	—	17	1	no	—
841	C₄×C₂²⋊C₄	—	17	1	no	—
842	C₄×C₂²⋊C₄	—	17	1	no	—
843	C₄×C₂²⋊C₄	—	17	1	no	—
844	C₄×C₂²⋊C₄	—	17	1	no	—
845	C₄×C₂²⋊C₄	—	17	1	no	—
846	C₄×C₂²⋊C₄	—	17	1	no	—
847	#376	—	17	1	no	—
848	#376	—	17	1	no	—
849	#376	—	17	1	no	—
850	C₂×#95	—	17	1	no	—
851	C₄³	—	17	1	no	—
852	C₂×C₁₇	—	4	2	no	—
853	C₂×C₁₇	—	4	2	no	—
854	C₂×C₁₇	#3428	1	1	yes	characteristic
855	C₂×C₁₇	#3428	1	1	yes	characteristic
856	C₂×C₁₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
857	C₂×C₁₇	#3553	1	1	yes	characteristic
858	C₂×C₁₇	#3557	1	1	yes	characteristic
859	C₂×C₁₇	#3566	1	1	yes	characteristic
860	C₂×C₁₇	#3566	1	1	yes	characteristic
861	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
862	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
863	C₂³×C₄	—	17	1	no	—
864	C₂³×C₄	—	17	1	no	—
865	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
866	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
867	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
869	#126	C₂×Dic₁₇	1	8	yes	—
870	#126	C₂×Dic₁₇	1	8	yes	—
871	#125	C₂×Dic₁₇	1	8	yes	complemented
872	#125	C₂×Dic₁₇	1	8	yes	complemented
873	#125	C₂×Dic₁₇	1	8	yes	complemented
874	#123	C₂×Dic₁₇	1	8	yes	—
875	#123	C₂×Dic₁₇	1	8	yes	—
876	C₂²⋊Q₈	C₂×Dic₁₇	1	8	yes	—
877	C₂²⋊Q₈	C₂×Dic₁₇	1	8	yes	complemented
878	C₄×Q₈	C₂×Dic₁₇	1	8	yes	complemented
879	C₄×D₄	C₂×Dic₁₇	1	8	yes	—
880	#117	C₂×Dic₁₇	1	8	yes	—
881	#117	C₂×Dic₁₇	1	8	yes	complemented
882	#117	C₂×Dic₁₇	1	8	yes	complemented
883	C₂×C₄⋊C₄	—	17	1	no	—
884	C₂×C₄⋊C₄	—	17	1	no	—
885	C₂×C₄⋊C₄	—	17	1	no	—
886	C₂×C₄⋊C₄	—	17	1	no	—
887	C₂×C₄⋊C₄	—	17	1	no	—
888	C₂×C₄⋊C₄	—	17	1	no	—
889	C₂×C₄⋊C₄	—	17	1	no	—
890	C₂×C₄⋊C₄	—	17	1	no	—
891	C₂×C₄⋊C₄	—	17	1	no	—
892	C₂×C₄⋊C₄	—	17	1	no	—
893	C₂×C₄⋊C₄	—	17	1	no	—
894	C₂×C₄⋊C₄	—	17	1	no	—
895	C₂×C₄⋊C₄	—	17	1	no	—
896	C₂×C₄⋊C₄	—	17	1	no	—
897	C₂×C₄⋊C₄	—	17	1	no	—
898	C₂×C₄⋊C₄	—	17	1	no	—
899	C₂×C₄⋊C₄	—	17	1	no	—
900	C₂×C₄⋊C₄	—	17	1	no	—
901	C₂×C₄⋊C₄	—	17	1	no	—
902	C₂×C₄⋊C₄	—	17	1	no	—
903	C₂×C₄⋊C₄	—	17	1	no	—
904	C₂×C₄⋊C₄	—	17	1	no	—
905	C₂×C₄⋊C₄	—	17	1	no	—
906	C₂×C₄⋊C₄	—	17	1	no	—
907	C₂×C₄⋊C₄	C₂×Dic₁₇	1	8	yes	complemented
908	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	—	17	1	no	—
925	C₂×C₂²⋊C₄	—	17	1	no	—
926	C₂×C₂²⋊C₄	—	17	1	no	—
927	C₂×C₂²⋊C₄	—	17	1	no	—
928	C₂×C₂²⋊C₄	—	17	1	no	—
929	C₂×C₂²⋊C₄	—	17	1	no	—
930	C₂×C₂²⋊C₄	—	17	1	no	—
931	C₂×C₂²⋊C₄	—	17	1	no	—
932	C₂×C₂²⋊C₄	—	17	1	no	—
933	C₂×C₂²⋊C₄	—	17	1	no	—
934	C₂×C₂²⋊C₄	—	17	1	no	—
935	C₂×C₂²⋊C₄	—	17	1	no	—
936	C₂×C₂²⋊C₄	—	17	1	no	—
937	C₂×C₂²⋊C₄	—	17	1	no	—
938	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
946	C₂×C₄²	—	17	1	no	—
947	C₂×C₄²	—	17	1	no	—
948	C₂×C₄²	—	17	1	no	—
949	C₂×C₄²	—	17	1	no	—
950	C₂×C₄²	—	17	1	no	—
951	C₂×C₄²	—	17	1	no	—
952	C₂×C₄²	—	17	1	no	—
953	C₂×C₄²	—	17	1	no	—
954	C₂×C₄²	—	17	1	no	—
955	C₂×C₄²	—	17	1	no	—
956	C₂×C₄²	—	17	1	no	—
957	C₂×C₄²	—	17	1	no	—
958	C₂×C₄²	—	17	1	no	—
959	C₂×C₄²	—	17	1	no	—
960	C₂×C₄²	—	17	1	no	—
961	C₂×C₄²	—	17	1	no	—
962	C₂×C₄²	—	17	1	no	—
963	C₂×C₄²	—	17	1	no	—
964	C₂×C₄²	—	17	1	no	—
965	C₂×C₄²	—	17	1	no	—
966	C₂×C₄²	—	17	1	no	—
967	C₂×C₄²	—	17	1	no	—
968	C₂×C₄²	—	17	1	no	—
969	C₂×C₄²	—	17	1	no	—
970	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
974	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
975	#95	—	17	1	no	—
976	#95	—	17	1	no	—
977	#95	—	17	1	no	—
978	#95	—	17	1	no	—
979	#95	—	17	1	no	—
980	#95	—	17	1	no	—
981	#95	—	17	1	no	—
982	#95	—	17	1	no	—
983	#95	—	17	1	no	—
984	#95	—	17	1	no	—
985	#95	—	17	1	no	—
986	#95	—	17	1	no	—
987	#95	—	17	1	no	—
988	#95	—	17	1	no	—
989	#95	—	17	1	no	—
990	#95	—	17	1	no	—
991	#95	—	17	1	no	—
992	#95	—	17	1	no	—
993	#95	—	17	1	no	—
994	#95	—	17	1	no	—
995	#95	—	17	1	no	—
996	#95	—	17	1	no	—
997	#95	—	17	1	no	—
998	#95	—	17	1	no	—
999	#95	—	17	1	no	—
1000	#95	—	17	1	no	—
1001	#95	—	17	1	no	—
1002	#95	—	17	1	no	—
1003	#95	—	17	1	no	—
1004	#95	—	17	1	no	—
1005	#95	—	17	1	no	—
1006	#95	—	17	1	no	—
1007	#95	—	17	1	no	—
1008	#95	—	17	1	no	—
1009	#95	—	17	1	no	—
1010	#95	—	17	1	no	—
1011	#95	—	17	1	no	—
1012	#95	—	17	1	no	—
1013	#95	—	17	1	no	—
1014	#95	—	17	1	no	—
1015	#95	—	17	1	no	—
1016	#95	—	17	1	no	—
1017	#95	—	17	1	no	—
1018	#95	—	17	1	no	—
1019	#95	—	17	1	no	—
1020	#95	—	17	1	no	—
1021	#95	—	17	1	no	—
1022	#95	—	17	1	no	—
1023	#95	—	17	1	no	—
1024	#95	—	17	1	no	—
1025	#95	—	17	1	no	—
1026	#95	—	17	1	no	—
1027	#95	—	17	1	no	—
1028	#95	—	17	1	no	—
1029	#95	—	17	1	no	—
1030	#95	—	17	1	no	—
1031	C₁₇	#34501	1	1	yes	characteristic, complemented, Sylow
1032	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₁₇	1	1	yes	characteristic
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	—	4	1	no	—
1036	C₂×Q₈	C₂²×Dic₁₇	1	4	yes	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	C₂²×Dic₁₇	1	4	yes	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	17	1	no	—
1049	C₂²×C₄	—	17	1	no	—
1050	C₂²×C₄	—	17	1	no	—
1051	C₂²×C₄	—	17	1	no	—
1052	C₂²×C₄	—	17	1	no	—
1053	C₂²×C₄	—	17	1	no	—
1054	C₂²×C₄	—	17	1	no	—
1055	C₂²×C₄	—	17	1	no	—
1056	C₂²×C₄	—	17	1	no	—
1057	C₂²×C₄	—	17	1	no	—
1058	C₂²×C₄	—	17	1	no	—
1059	C₂²×C₄	—	17	1	no	—
1060	C₂²×C₄	—	17	1	no	—
1061	C₂²×C₄	—	17	1	no	—
1062	C₂²×C₄	—	17	1	no	—
1063	C₂²×C₄	—	17	1	no	—
1064	C₂²×C₄	—	68	1	no	—
1065	C₂²×C₄	—	68	1	no	—
1066	C₂²×C₄	—	68	1	no	—
1067	C₂²×C₄	—	68	1	no	—
1068	C₂²×C₄	—	68	1	no	—
1069	C₂²×C₄	—	68	1	no	—
1070	C₂²×C₄	C₂²×Dic₁₇	1	4	yes	—
1071	C₂²×C₄	C₂²×Dic₁₇	1	4	yes	—
1072	C₂²×C₄	C₂²×Dic₁₇	1	4	yes	—
1073	C₂²×C₄	C₂²×Dic₁₇	1	4	yes	—
1074	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1087	C₄⋊C₄	—	34	2	no	—
1088	C₄⋊C₄	—	34	2	no	—
1089	C₄⋊C₄	—	68	1	no	—
1090	C₄⋊C₄	—	68	1	no	—
1091	C₄⋊C₄	—	68	1	no	—
1092	C₄⋊C₄	—	68	1	no	—
1093	C₄⋊C₄	—	68	1	no	—
1094	C₄⋊C₄	—	68	1	no	—
1095	C₄⋊C₄	—	68	1	no	—
1096	C₄⋊C₄	—	68	1	no	—
1097	C₄⋊C₄	—	68	1	no	—
1098	C₄⋊C₄	—	68	1	no	—
1099	C₄⋊C₄	—	68	1	no	—
1100	C₄⋊C₄	—	68	1	no	—
1101	C₄⋊C₄	—	68	1	no	—
1102	C₄⋊C₄	—	68	1	no	—
1103	C₄⋊C₄	—	68	1	no	—
1104	C₄⋊C₄	—	68	1	no	—
1105	C₄⋊C₄	—	68	1	no	—
1106	C₄⋊C₄	—	68	1	no	—
1107	C₄⋊C₄	—	68	1	no	—
1108	C₄⋊C₄	—	68	1	no	—
1109	C₄⋊C₄	—	68	1	no	—
1110	C₄⋊C₄	—	68	1	no	—
1111	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1112	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1113	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1114	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1115	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1116	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1117	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1118	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1119	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1120	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1121	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1122	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1123	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1124	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1125	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1126	C₄⋊C₄	C₂²×Dic₁₇	1	4	yes	—
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	C₂²×Dic₁₇	1	4	yes	—
1142	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1143	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1144	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1145	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1146	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1147	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1148	C₂²⋊C₄	C₂²×Dic₁₇	1	4	yes	—
1149	C₄²	—	34	2	no	—
1150	C₄²	—	68	1	no	—
1151	C₄²	—	68	1	no	—
1152	C₄²	—	68	1	no	—
1153	C₄²	—	68	1	no	—
1154	C₄²	—	68	1	no	—
1155	C₄²	—	68	1	no	—
1156	C₄²	—	68	1	no	—
1157	C₄²	—	68	1	no	—
1158	C₄²	—	68	1	no	—
1159	C₄²	—	68	1	no	—
1160	C₄²	—	68	1	no	—
1161	C₄²	—	68	1	no	—
1162	C₄²	—	68	1	no	—
1163	C₄²	—	68	1	no	—
1164	C₄²	—	68	1	no	—
1165	C₄²	—	68	1	no	—
1166	C₄²	—	68	1	no	—
1167	C₄²	—	68	1	no	—
1168	C₄²	—	68	1	no	—
1169	C₄²	—	68	1	no	—
1170	C₄²	—	68	1	no	—
1171	C₄²	—	68	1	no	—
1172	C₄²	—	68	1	no	—
1173	C₄²	C₂²×Dic₁₇	1	4	yes	—
1174	C₄²	C₂²×Dic₁₇	1	4	yes	—
1175	C₄²	C₂²×Dic₁₇	1	4	yes	—
1176	C₄²	C₂²×Dic₁₇	1	4	yes	—
1177	C₄²	C₂²×Dic₁₇	1	4	yes	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	C₂³×Dic₁₇	1	2	yes	—
1191	C₂³	C₂³×Dic₁₇	1	2	yes	—
1192	C₂³	C₂⁴×D₁₇	1	1	yes	characteristic
1193	Q₈	—	4	4	no	—
1194	D₄	—	4	4	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	4	4	no	—
1222	C₂×C₄	—	4	4	no	—
1223	C₂×C₄	—	4	4	no	—
1224	C₂×C₄	—	4	4	no	—
1225	C₂×C₄	—	17	2	no	—
1226	C₂×C₄	—	34	1	no	—
1227	C₂×C₄	—	34	1	no	—
1228	C₂×C₄	—	34	1	no	—
1229	C₂×C₄	—	34	1	no	—
1230	C₂×C₄	—	34	1	no	—
1231	C₂×C₄	—	34	1	no	—
1232	C₂×C₄	—	34	1	no	—
1233	C₂×C₄	—	34	1	no	—
1234	C₂×C₄	—	34	1	no	—
1235	C₂×C₄	—	34	1	no	—
1236	C₂×C₄	—	34	1	no	—
1237	C₂×C₄	—	34	1	no	—
1238	C₂×C₄	—	34	1	no	—
1239	C₂×C₄	—	34	1	no	—
1240	C₂×C₄	—	34	1	no	—
1241	C₂×C₄	—	34	1	no	—
1242	C₂×C₄	—	34	1	no	—
1243	C₂×C₄	—	34	1	no	—
1244	C₂×C₄	—	34	1	no	—
1245	C₂×C₄	—	34	1	no	—
1246	C₂×C₄	—	34	1	no	—
1247	C₂×C₄	—	34	1	no	—
1248	C₂×C₄	—	34	1	no	—
1249	C₂×C₄	—	34	1	no	—
1250	C₂×C₄	—	34	1	no	—
1251	C₂×C₄	—	34	1	no	—
1252	C₂×C₄	—	34	1	no	—
1253	C₂×C₄	—	34	1	no	—
1254	C₂×C₄	—	34	1	no	—
1255	C₂×C₄	—	34	1	no	—
1256	C₂×C₄	—	34	1	no	—
1257	C₂×C₄	—	34	1	no	—
1258	C₂×C₄	—	34	1	no	—
1259	C₂×C₄	—	34	1	no	—
1260	C₂×C₄	—	34	1	no	—
1261	C₂×C₄	—	34	1	no	—
1262	C₂×C₄	—	34	1	no	—
1263	C₂×C₄	—	34	1	no	—
1264	C₂×C₄	—	34	1	no	—
1265	C₂×C₄	—	34	1	no	—
1266	C₂×C₄	—	34	1	no	—
1267	C₂×C₄	—	34	1	no	—
1268	C₂×C₄	—	34	1	no	—
1269	C₂×C₄	—	34	1	no	—
1270	C₂×C₄	—	34	1	no	—
1271	C₂×C₄	—	34	1	no	—
1272	C₂×C₄	—	34	1	no	—
1273	C₂×C₄	—	136	2	no	—
1274	C₂×C₄	—	136	2	no	—
1275	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1276	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1277	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1278	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1279	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1280	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1281	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1282	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1283	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1284	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1285	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1286	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1287	C₂×C₄	C₂³×Dic₁₇	1	2	yes	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	C₂⁴×Dic₁₇	1	1	yes	characteristic
1303	C₂²	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1304	C₂²	#11763645	1	1	yes	characteristic
1305	C₂²	#11763645	1	1	yes	characteristic
1306	C₂²	#11763645	1	1	yes	characteristic
1307	C₂²	#11763645	1	1	yes	characteristic
1308	C₂²	#11763646	1	1	yes	characteristic
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	34	2	no	—
1323	C₄	—	68	1	no	—
1324	C₄	—	68	1	no	—
1325	C₄	—	68	1	no	—
1326	C₄	—	68	1	no	—
1327	C₄	—	68	1	no	—
1328	C₄	—	68	1	no	—
1329	C₄	—	68	1	no	—
1330	C₄	—	68	1	no	—
1331	C₄	—	68	1	no	—
1332	C₄	—	68	1	no	—
1333	C₄	—	68	1	no	—
1334	C₄	—	68	1	no	—
1335	C₄	—	68	1	no	—
1336	C₄	—	68	1	no	—
1337	C₄	—	68	1	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	#14541987	1	1	yes	characteristic
1341	C₂	#14541987	1	1	yes	characteristic
1342	C₂	2₋¹⁺⁴×Dic₁₇	1	1	yes	characteristic
1343	C₂	#14543231	1	1	yes	characteristic
1344	C₂	#14543280	1	1	yes	characteristic
1345	C₂	#14543454	1	1	yes	characteristic
1346	C₂	#14543462	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₇
commutator	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₂×C₁₇×#552	C₂
socle, cosocle	C₂³×C₁₇	C₂⁵
prime radical	C₂²×D₄×C₁₇	C₂³
hypercenter	C₂×#552	D₁₇
hypocenter	C₁₇	#34501
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. #14531976	C₂	semidirect
2. #14531970	C₂	semidirect
3. #14531950	C₂	semidirect
6. #14531908	C₂	semidirect
7. #14531890	C₂	semidirect
8. #14531884	C₂	semidirect
9. #14531869	C₂	semidirect
11. #14531741	C₂	semidirect
12. #14531677	C₂	semidirect
13. #14531669	C₂	semidirect
14. #14531661	C₂	semidirect
15. #14531644	C₂	semidirect
16. #14531590	C₂	semidirect
17. #14531590	C₂	semidirect
20. #14531563	C₂	semidirect
21. #14531563	C₂	semidirect
22. #14531542	C₂	semidirect
23. #14531542	C₂	semidirect
24. #14531435	C₂	semidirect
26. #14531393	C₂	semidirect
27. #14531387	C₂	semidirect
28. #125×Dic₁₇	C₂	semidirect
29. #14531282	C₂	semidirect
30. #14531282	C₂	semidirect
172. C₁₇×#552	C₄	semidirect
198. C₁₇×#125	C₂×C₄	semidirect
199. C₁₇×#125	C₂×C₄	semidirect
200. C₁₇×#125	C₂×C₄	semidirect
204. C₁₇×C₂²⋊Q₈	C₂×C₄	semidirect
205. C₄×Q₈×C₁₇	C₂×C₄	semidirect
208. C₁₇×#117	C₂×C₄	semidirect
209. C₁₇×#117	C₂×C₄	semidirect
210. C₂×C₄⋊C₄×C₁₇	C₂×C₄	semidirect
696. #552	Dic₁₇	semidirect
871. #125	C₂×Dic₁₇	semidirect
872. #125	C₂×Dic₁₇	semidirect
873. #125	C₂×Dic₁₇	semidirect
877. C₂²⋊Q₈	C₂×Dic₁₇	semidirect
878. C₄×Q₈	C₂×Dic₁₇	semidirect
881. #117	C₂×Dic₁₇	semidirect
882. #117	C₂×Dic₁₇	semidirect
907. C₂×C₄⋊C₄	C₂×Dic₁₇	semidirect
1031. C₁₇	#34501	semidirect

Maximal subgroups

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

subgroup	index
#14531976	2
#14531970	2
#14531950	2
#14531932	2
#14531920	2
#14531908	2
#14531890	2
#14531884	2
#14531869	2
#14531757	2
#14531741	2
#14531677	2
#14531669	2
#14531661	2
#14531644	2
#14531590	2
#14531578	2
#14531563	2
#14531542	2
#14531435	2
#14531417	2
#14531393	2
#14531387	2
#125×Dic₁₇	2
#14531282	2
C₂×C₁₇×#552	2
#34501	17