Subgroups — #17919322

Order 4352.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542833	C₂	1	1	yes	maximal, characteristic, complemented
2	#14540910	C₂	1	1	yes	maximal, characteristic, complemented
3	#14540880	C₂	1	1	yes	maximal, characteristic, complemented
4	#14540850	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540835	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540820	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540805	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540775	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540745	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540365	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540355	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540350	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540340	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540335	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540305	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540290	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540275	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539821	C₂	1	1	yes	maximal, characteristic, complemented
19	#14539795	C₂	1	1	yes	maximal, characteristic, complemented
20	#14539621	C₂	1	1	yes	maximal, characteristic, complemented
21	#14539610	C₂	1	1	yes	maximal, characteristic, complemented
22	#14539572	C₂	1	1	yes	maximal, characteristic, complemented
23	#14539561	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538946	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538893	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538044	C₂	1	1	yes	maximal, characteristic, complemented
27	#14538026	C₂	1	1	yes	maximal, characteristic, complemented
28	#14538002	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11762971	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537813	C₂	1	1	yes	maximal, characteristic, complemented
31	D₄×#41×C₁₇	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#10587628	C₂²	1	1	yes	characteristic, complemented
33	C₂×#10587637	C₂²	1	1	yes	characteristic, complemented
34	C₂×#10587637	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587618	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
37	C₂×#10587636	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#63231	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#63229	C₂²	1	1	yes	characteristic, complemented
40	#11763529	C₂²	1	1	yes	characteristic, complemented
41	#11763514	—	2	1	no	—
42	#11763499	C₂²	1	1	yes	characteristic
43	#11763499	C₂²	1	1	yes	characteristic, complemented
44	#11763485	—	2	1	no	—
45	#11763485	—	2	1	no	—
46	D₄×Dic₃₄	C₂²	1	1	yes	characteristic, complemented
47	#11763468	C₂²	1	1	yes	characteristic
48	#11763468	C₂²	1	1	yes	characteristic, complemented
49	#11763464	C₂²	1	1	yes	characteristic, complemented
50	#11763463	C₂²	1	1	yes	characteristic, complemented
51	#11763453	—	2	1	no	—
52	#11763424	—	2	1	no	—
53	#11763401	—	2	1	no	—
54	#11763401	—	2	1	no	—
55	#11763366	C₂²	1	1	yes	characteristic, complemented
56	#11763343	C₂²	1	1	yes	characteristic, complemented
57	#11763320	C₂²	1	1	yes	characteristic, complemented
58	#11763320	C₂²	1	1	yes	characteristic, complemented
59	C₂×#10587610	C₂²	1	1	yes	characteristic, complemented
60	C₂×#10587610	C₂²	1	1	yes	characteristic, complemented
61	#11763288	—	2	1	no	—
62	#11763204	C₂²	1	1	yes	characteristic, complemented
63	#11763204	C₂²	1	1	yes	characteristic, complemented
64	#11763201	C₂²	1	1	yes	characteristic, complemented
65	#11763196	C₂²	1	1	yes	characteristic, complemented
66	#11763177	C₂²	1	1	yes	characteristic, complemented
67	#11763173	C₂²	1	1	yes	characteristic, complemented
68	#11763168	C₂²	1	1	yes	characteristic, complemented
69	#11763168	C₂²	1	1	yes	characteristic, complemented
70	#11763150	C₂²	1	1	yes	characteristic, complemented
71	#11763150	C₂²	1	1	yes	characteristic, complemented
72	#11763150	C₂²	1	1	yes	characteristic, complemented
73	#11763147	C₂²	1	1	yes	characteristic, complemented
74	#11763147	C₂²	1	1	yes	characteristic, complemented
75	#11763142	C₂²	1	1	yes	characteristic, complemented
76	#11763137	C₂²	1	1	yes	characteristic, complemented
77	#11763133	C₂²	1	1	yes	characteristic, complemented
78	#11763130	C₂²	1	1	yes	characteristic, complemented
79	#11763130	C₂²	1	1	yes	characteristic, complemented
80	#11763125	C₂²	1	1	yes	characteristic, complemented
81	#11763120	C₂²	1	1	yes	characteristic, complemented
82	#11763116	C₂²	1	1	yes	characteristic, complemented
83	#11763109	C₂²	1	1	yes	characteristic, complemented
84	#11763104	C₂²	1	1	yes	characteristic, complemented
85	#11763099	C₂²	1	1	yes	characteristic, complemented
86	#11763065	C₂²	1	1	yes	characteristic, complemented
87	#11763065	C₂²	1	1	yes	characteristic, complemented
88	#11763065	C₂²	1	1	yes	characteristic, complemented
89	#11763060	C₂²	1	1	yes	characteristic, complemented
90	#11763057	C₂²	1	1	yes	characteristic, complemented
91	#11763053	C₂²	1	1	yes	characteristic, complemented
92	#11763053	C₂²	1	1	yes	characteristic, complemented
93	#11763053	C₂²	1	1	yes	characteristic, complemented
94	#11763048	C₂²	1	1	yes	characteristic, complemented
95	#11763048	C₂²	1	1	yes	characteristic, complemented
96	#11763048	C₂²	1	1	yes	characteristic, complemented
97	#11763043	C₂²	1	1	yes	characteristic, complemented
98	#11763040	C₂²	1	1	yes	characteristic, complemented
99	#11763036	C₂²	1	1	yes	characteristic, complemented
100	#11763036	C₂²	1	1	yes	characteristic, complemented
101	#11763036	C₂²	1	1	yes	characteristic, complemented
102	#11763031	C₂²	1	1	yes	characteristic, complemented
103	#11763028	C₂²	1	1	yes	characteristic, complemented
104	#11763028	C₂²	1	1	yes	characteristic, complemented
105	#11763024	C₂²	1	1	yes	characteristic, complemented
106	#11763021	C₂²	1	1	yes	characteristic, complemented
107	#11763021	C₂²	1	1	yes	characteristic, complemented
108	#11763019	C₂²	1	1	yes	characteristic, complemented
109	#11763016	C₂²	1	1	yes	characteristic, complemented
110	#11763016	C₂²	1	1	yes	characteristic, complemented
111	#11763014	C₂²	1	1	yes	characteristic, complemented
112	#11763006	C₂²	1	1	yes	characteristic, complemented
113	#11763006	C₂²	1	1	yes	characteristic, complemented
114	#11762971	C₂²	1	1	yes	characteristic
115	#11762971	C₂²	1	1	yes	characteristic
116	#11762971	C₂²	1	1	yes	characteristic
117	#11762971	C₂²	1	1	yes	characteristic, complemented
118	#11762971	C₂²	1	1	yes	characteristic, complemented
119	#11762971	C₂²	1	1	yes	characteristic, complemented
120	#11762971	C₂²	1	1	yes	characteristic, complemented
121	#11762971	C₂²	1	1	yes	characteristic, complemented
122	#11762971	C₂²	1	1	yes	characteristic, complemented
123	#11762971	C₂²	1	1	yes	characteristic, complemented
124	#11762971	C₂²	1	1	yes	characteristic, complemented
125	#11762971	C₂²	1	1	yes	characteristic, complemented
126	#11762971	C₂²	1	1	yes	characteristic, complemented
127	#11762971	C₂²	1	1	yes	characteristic, complemented
128	#11762971	C₂²	1	1	yes	characteristic, complemented
129	#11762969	C₂²	1	1	yes	characteristic, complemented
130	#11762969	C₂²	1	1	yes	characteristic, complemented
131	#11762965	C₂²	1	1	yes	characteristic, complemented
132	#11762965	C₂²	1	1	yes	characteristic, complemented
133	#11762965	C₂²	1	1	yes	characteristic, complemented
134	#11762964	C₂²	1	1	yes	characteristic, complemented
135	#11762964	C₂²	1	1	yes	characteristic, complemented
136	#11762960	C₂²	1	1	yes	characteristic, complemented
137	#11762960	C₂²	1	1	yes	characteristic, complemented
138	#11762960	C₂²	1	1	yes	characteristic, complemented
139	#11762954	C₂²	1	1	yes	characteristic
140	#11762954	C₂²	1	1	yes	characteristic, complemented
141	#11762954	C₂²	1	1	yes	characteristic, complemented
142	#11762954	C₂²	1	1	yes	characteristic, complemented
143	#11762954	C₂²	1	1	yes	characteristic, complemented
144	#11762952	C₂²	1	1	yes	characteristic, complemented
145	#11762952	C₂²	1	1	yes	characteristic, complemented
146	#11762948	C₂²	1	1	yes	characteristic, complemented
147	#11762947	C₂²	1	1	yes	characteristic, complemented
148	#11762947	C₂²	1	1	yes	characteristic, complemented
149	#11762943	C₂²	1	1	yes	characteristic, complemented
150	#11762919	C₂²	1	1	yes	characteristic, complemented
151	#11762914	C₂²	1	1	yes	characteristic, complemented
152	#11762914	C₂²	1	1	yes	characteristic, complemented
153	#11762914	C₂²	1	1	yes	characteristic, complemented
154	#11762909	C₂²	1	1	yes	characteristic, complemented
155	#11762909	C₂²	1	1	yes	characteristic, complemented
156	#11762909	C₂²	1	1	yes	characteristic, complemented
157	#11762907	C₂²	1	1	yes	characteristic, complemented
158	#11762881	C₂²	1	1	yes	characteristic
159	#11762881	C₂²	1	1	yes	characteristic
160	#11762881	C₂²	1	1	yes	characteristic, complemented
161	#11762881	C₂²	1	1	yes	characteristic, complemented
162	#11762881	C₂²	1	1	yes	characteristic, complemented
163	#11762881	C₂²	1	1	yes	characteristic, complemented
164	#11762881	C₂²	1	1	yes	characteristic, complemented
165	#11762881	C₂²	1	1	yes	characteristic, complemented
166	#11762866	C₂²	1	1	yes	characteristic, complemented
167	#11762866	C₂²	1	1	yes	characteristic, complemented
168	#11762818	C₂²	1	1	yes	characteristic, complemented
169	#11762814	C₂²	1	1	yes	characteristic, complemented
170	#11762810	C₂²	1	1	yes	characteristic, complemented
171	#11762810	C₂²	1	1	yes	characteristic, complemented
172	#11762805	C₂²	1	1	yes	characteristic, complemented
173	#11762805	C₂²	1	1	yes	characteristic, complemented
174	C₂×#10587506	C₂²	1	1	yes	characteristic, complemented
175	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
176	#11762773	C₂²	1	1	yes	characteristic, complemented
177	#11762773	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₂²⋊#3622	C₂²	1	1	yes	characteristic, complemented
180	C₂²×#41×C₁₇	C₂²	1	1	yes	characteristic
181	C₂²×#41×C₁₇	C₂²	1	1	yes	characteristic
182	C₁₇×#550	C₂²	1	1	yes	characteristic
183	D₄×Q₈×C₁₇	C₂²	1	1	yes	characteristic
184	C₁₇×#548	C₂²	1	1	yes	characteristic
185	C₁₇×#548	C₂²	1	1	yes	characteristic
186	C₁₇×#547	—	2	1	no	—
187	C₁₇×#547	C₂²	1	1	yes	characteristic
188	C₁₇×#546	—	2	1	no	—
189	C₁₇×#546	—	2	1	no	—
190	C₁₇×#546	C₂²	1	1	yes	characteristic
191	C₁₇×#546	C₂²	1	1	yes	characteristic
192	D₄²×C₁₇	—	2	1	no	—
193	D₄²×C₁₇	C₂²	1	1	yes	characteristic
194	C₁₇×#532	—	2	1	no	—
195	C₁₇×#532	C₂²	1	1	yes	characteristic
196	C₁₇×#525	—	2	1	no	—
197	C₁₇×#525	—	2	1	no	—
198	C₁₇×#525	C₂²	1	1	yes	characteristic
199	C₁₇×#525	C₂²	1	1	yes	characteristic
200	C₄×#41×C₁₇	C₂²	1	1	yes	characteristic
201	C₂×C₄×D₄×C₁₇	—	2	1	no	—
202	C₂×C₄×D₄×C₁₇	C₂²	1	1	yes	characteristic
203	C₂×#41×C₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	—	2	1	no	—
205	C₂×#41×C₁₇	—	2	1	no	—
206	C₂×#41×C₁₇	—	2	1	no	—
207	C₂×#41×C₁₇	—	4	2	no	—
208	C₂×#41×C₁₇	—	4	2	no	—
209	C₂×#41×C₁₇	—	4	2	no	—
210	C₂×#41×C₁₇	—	4	2	no	—
211	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
212	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
213	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
214	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
215	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
216	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
217	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
218	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
219	C₂²×Q₈×C₁₇	C₂³	1	1	yes	characteristic
220	C₂²×D₄×C₁₇	—	2	1	no	—
221	C₂²×D₄×C₁₇	—	2	1	no	—
222	C₂²×D₄×C₁₇	—	2	1	no	—
223	C₂²×D₄×C₁₇	D₄	1	1	yes	characteristic
224	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₇	—	2	1	no	—
227	C₂³×C₄×C₁₇	—	2	1	no	—
228	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₁₇	C₂³	1	1	yes	characteristic
230	C₂×#63254	—	2	1	no	—
231	C₂×#63252	C₂³	1	1	yes	characteristic
232	C₂×#63252	C₂³	1	1	yes	characteristic
233	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
234	C₂²×Dic₃₄	C₂³	1	1	yes	characteristic
235	C₁₇×C₄⋊Q₈	—	2	1	no	—
236	C₁₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₇×#127	—	2	1	no	—
238	C₁₇×#127	C₂³	1	1	yes	characteristic
239	C₁₇×#124	—	2	1	no	—
240	C₁₇×#124	—	2	1	no	—
241	C₁₇×#124	C₂³	1	1	yes	characteristic
242	C₁₇×#124	C₂³	1	1	yes	characteristic
243	C₁₇×#123	—	2	1	no	—
244	C₁₇×#123	—	2	1	no	—
245	C₁₇×#123	—	2	1	no	—
246	C₁₇×#123	—	2	1	no	—
247	C₁₇×#123	—	2	1	no	—
248	C₁₇×#123	—	2	1	no	—
249	C₁₇×C₂²⋊Q₈	—	2	1	no	—
250	C₁₇×C₂²⋊Q₈	—	2	1	no	—
251	C₁₇×C₂²⋊Q₈	—	2	1	no	—
252	C₁₇×C₂²⋊Q₈	—	2	1	no	—
253	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₇×#121	—	2	1	no	—
258	C₁₇×#121	—	2	1	no	—
259	C₁₇×#121	—	2	1	no	—
260	C₁₇×#121	—	2	1	no	—
261	C₁₇×#121	—	2	1	no	—
262	C₁₇×#121	—	2	1	no	—
263	C₁₇×#121	—	2	1	no	—
264	C₁₇×#121	—	2	1	no	—
265	C₁₇×#121	—	2	1	no	—
266	C₁₇×#121	—	2	1	no	—
267	C₁₇×#121	C₂³	1	1	yes	characteristic
268	C₁₇×#121	C₂³	1	1	yes	characteristic
269	C₁₇×#121	C₂³	1	1	yes	characteristic
270	C₁₇×#121	C₂³	1	1	yes	characteristic
271	C₁₇×#120	—	2	1	no	—
272	C₁₇×#120	—	2	1	no	—
273	C₁₇×#120	—	2	1	no	—
274	C₁₇×#120	—	2	1	no	—
275	C₁₇×#120	—	2	1	no	—
276	C₁₇×#120	—	2	1	no	—
277	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
278	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₇	—	2	1	no	—
280	C₄×D₄×C₁₇	—	2	1	no	—
281	C₄×D₄×C₁₇	—	2	1	no	—
282	C₄×D₄×C₁₇	—	2	1	no	—
283	C₄×D₄×C₁₇	—	2	1	no	—
284	C₄×D₄×C₁₇	—	2	1	no	—
285	C₄×D₄×C₁₇	—	2	1	no	—
286	C₄×D₄×C₁₇	—	2	1	no	—
287	C₄×D₄×C₁₇	—	2	1	no	—
288	C₄×D₄×C₁₇	—	2	1	no	—
289	C₄×D₄×C₁₇	—	2	1	no	—
290	C₄×D₄×C₁₇	—	2	1	no	—
291	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
292	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
293	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
294	C₄×D₄×C₁₇	D₄	1	1	yes	characteristic
295	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
301	C₁₇×#117	—	2	1	no	—
302	C₁₇×#117	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄×C₁₇	—	2	1	no	—
304	C₂×C₄⋊C₄×C₁₇	D₄	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
306	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
307	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₁₇	D₄	1	1	yes	characteristic
309	C₂×C₄²×C₁₇	—	2	1	no	—
310	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
311	#10587639	—	2	1	no	—
312	#10587639	—	2	1	no	—
313	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
314	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
315	#10587637	—	4	2	no	—
316	#10587637	—	4	2	no	—
317	#10587636	—	4	2	no	—
318	#10587636	—	4	2	no	—
319	C₂×#63231	—	4	2	no	—
320	C₂×#63231	C₂³	1	1	yes	characteristic
321	C₂×#63231	C₂³	1	1	yes	characteristic
322	C₂×#63231	C₂³	1	1	yes	characteristic
323	C₂×#63231	C₂³	1	1	yes	characteristic
324	C₂×#63231	C₂³	1	1	yes	characteristic
325	C₂×#63231	C₂³	1	1	yes	characteristic
326	C₂×#63231	C₂³	1	1	yes	characteristic
327	C₂×#63231	C₂³	1	1	yes	characteristic
328	C₂×#63231	C₂³	1	1	yes	characteristic
329	#10587628	—	4	2	no	—
330	C₂×#63230	C₂³	1	1	yes	characteristic
331	C₂×#63230	C₂³	1	1	yes	characteristic
332	C₂×#63230	C₂³	1	1	yes	characteristic
333	#10587625	—	2	1	no	—
334	#10587625	—	2	1	no	—
335	#10587624	—	2	1	no	—
336	#10587622	—	2	1	no	—
337	#10587621	—	2	1	no	—
338	#10587621	—	2	1	no	—
339	D₄×Dic₁₇	—	2	1	no	—
340	C₂×#63229	—	4	2	no	—
341	C₂×#63229	C₂³	1	1	yes	characteristic
342	C₂×#63229	C₂³	1	1	yes	characteristic
343	C₂×#63229	C₂³	1	1	yes	characteristic
344	C₂×#63229	C₂³	1	1	yes	characteristic
345	C₂×#63229	C₂³	1	1	yes	characteristic
346	C₂×#63229	C₂³	1	1	yes	characteristic
347	C₂×#63229	C₂³	1	1	yes	characteristic
348	C₂×#63229	C₂³	1	1	yes	characteristic
349	C₂×#63229	C₂³	1	1	yes	characteristic
350	#10587618	—	4	2	no	—
351	C₂×#63228	C₂³	1	1	yes	characteristic
352	C₂×#63228	C₂³	1	1	yes	characteristic
353	C₂×#63228	C₂³	1	1	yes	characteristic
354	#10587616	C₂³	1	1	yes	characteristic
355	#10587616	C₂³	1	1	yes	characteristic
356	#10587616	C₂³	1	1	yes	characteristic
357	#10587615	—	2	1	no	—
358	#10587615	—	2	1	no	—
359	#10587615	—	2	1	no	—
360	C₄×C₂²⋊D₁₇	—	2	1	no	—
361	C₄×C₂²⋊D₁₇	—	2	1	no	—
362	C₄×C₂²⋊D₁₇	—	2	1	no	—
363	C₄×C₂²⋊D₁₇	—	2	1	no	—
364	C₄×C₂²⋊D₁₇	—	2	1	no	—
365	#10587612	—	2	1	no	—
366	#10587612	C₂³	1	1	yes	characteristic
367	#10587612	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
369	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
370	#10587610	—	2	1	no	—
371	#10587610	—	2	1	no	—
372	#10587610	—	2	1	no	—
373	#10587610	—	2	1	no	—
374	#10587610	—	2	1	no	—
375	#10587610	C₂³	1	1	yes	characteristic
376	#10587610	C₂³	1	1	yes	characteristic
377	#10587610	C₂³	1	1	yes	characteristic
378	#10587610	C₂³	1	1	yes	characteristic
379	#10587610	C₂³	1	1	yes	characteristic
380	#10587610	C₂³	1	1	yes	characteristic
381	#10587610	C₂³	1	1	yes	characteristic
382	#10587610	C₂³	1	1	yes	characteristic
383	#10587610	C₂³	1	1	yes	characteristic
384	C₂×#63225	—	2	1	no	—
385	C₂×#63225	—	2	1	no	—
386	C₂×#63223	C₂³	1	1	yes	characteristic
387	C₂×#63223	C₂³	1	1	yes	characteristic
388	C₂×#63223	C₂³	1	1	yes	characteristic
389	C₂×#63223	C₂³	1	1	yes	characteristic
390	C₂²×#3622	C₂³	1	1	yes	characteristic
391	C₂²×#3622	C₂³	1	1	yes	characteristic
392	C₂²×#3622	C₂³	1	1	yes	characteristic
393	C₂²×#3622	C₂³	1	1	yes	characteristic
394	#10587583	—	2	1	no	—
395	#10587582	—	2	1	no	—
396	#10587582	—	2	1	no	—
397	C₄⋊C₄×D₁₇	—	2	1	no	—
398	#10587575	—	2	1	no	—
399	#10587575	—	2	1	no	—
400	#10587574	—	2	1	no	—
401	#10587573	—	2	1	no	—
402	#10587572	—	2	1	no	—
403	#10587572	—	2	1	no	—
404	#10587571	—	2	1	no	—
405	#10587571	—	2	1	no	—
406	#10587569	—	2	1	no	—
407	#10587569	—	2	1	no	—
408	#10587567	—	2	1	no	—
409	#10587567	—	2	1	no	—
410	#10587565	—	2	1	no	—
411	#10587565	—	2	1	no	—
412	#10587565	—	2	1	no	—
413	#10587565	—	2	1	no	—
414	#10587564	—	2	1	no	—
415	#10587564	—	2	1	no	—
416	#10587563	—	2	1	no	—
417	#10587563	—	2	1	no	—
418	#10587562	—	2	1	no	—
419	#10587561	C₂³	1	1	yes	characteristic
420	C₄×D₆₈	C₂³	1	1	yes	characteristic
421	#10587558	—	2	1	no	—
422	#10587556	—	2	1	no	—
423	#10587556	C₂³	1	1	yes	characteristic
424	#10587555	C₂³	1	1	yes	characteristic
425	#10587555	C₂³	1	1	yes	characteristic
426	C₄×Dic₃₄	—	2	1	no	—
427	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
428	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
429	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
430	#10587506	C₂³	1	1	yes	characteristic
431	#10587506	C₂³	1	1	yes	characteristic
432	#10587506	C₂³	1	1	yes	characteristic
433	#10587506	C₂³	1	1	yes	characteristic
434	#10587506	C₂³	1	1	yes	characteristic
435	#10587506	C₂³	1	1	yes	characteristic
436	#10587506	C₂³	1	1	yes	characteristic
437	#10587506	C₂³	1	1	yes	characteristic
438	#10587506	C₂³	1	1	yes	characteristic
439	#10587506	C₂³	1	1	yes	characteristic
440	#10587506	C₂³	1	1	yes	characteristic
441	#10587506	C₂³	1	1	yes	characteristic
442	#10587503	C₂³	1	1	yes	characteristic
443	#10587503	C₂³	1	1	yes	characteristic
444	#10587503	C₂³	1	1	yes	characteristic
445	#10587503	C₂³	1	1	yes	characteristic
446	#10587503	C₂³	1	1	yes	characteristic
447	#10587503	C₂³	1	1	yes	characteristic
448	#10587503	C₂³	1	1	yes	characteristic
449	#10587503	C₂³	1	1	yes	characteristic
450	#10587503	C₂³	1	1	yes	characteristic
451	#10587503	C₂³	1	1	yes	characteristic
452	#10587503	C₂³	1	1	yes	characteristic
453	#10587503	C₂³	1	1	yes	characteristic
454	C₂²⋊#3622	C₂³	1	1	yes	characteristic
455	C₂²⋊#3622	C₂³	1	1	yes	characteristic
456	C₂²⋊#3622	C₂³	1	1	yes	characteristic
457	C₂²⋊#3622	C₂³	1	1	yes	characteristic
458	C₂²⋊#3622	C₂³	1	1	yes	characteristic
459	C₂²⋊#3622	C₂³	1	1	yes	characteristic
460	C₂²⋊#3622	C₂³	1	1	yes	characteristic
461	C₂²⋊#3622	C₂³	1	1	yes	characteristic
462	C₂²⋊#3622	C₂³	1	1	yes	characteristic
463	C₂²⋊#3622	C₂³	1	1	yes	characteristic
464	C₂²⋊#3622	C₂³	1	1	yes	characteristic
465	C₂²⋊#3622	C₂³	1	1	yes	characteristic
466	#10587481	C₂³	1	1	yes	characteristic
467	#10587481	C₂³	1	1	yes	characteristic
468	#10587481	C₂³	1	1	yes	characteristic
469	#10587481	C₂³	1	1	yes	characteristic
470	#10587481	C₂³	1	1	yes	characteristic
471	#10587481	C₂³	1	1	yes	characteristic
472	#10587480	C₂³	1	1	yes	characteristic
473	#10587480	C₂³	1	1	yes	characteristic
474	#10587479	C₂³	1	1	yes	characteristic
475	#10587479	C₂³	1	1	yes	characteristic
476	#10587479	C₂³	1	1	yes	characteristic
477	#10587479	C₂³	1	1	yes	characteristic
478	#10587478	C₂³	1	1	yes	characteristic
479	#10587478	C₂³	1	1	yes	characteristic
480	#10587478	C₂³	1	1	yes	characteristic
481	#10587478	C₂³	1	1	yes	characteristic
482	C₄⋊#3622	C₂³	1	1	yes	characteristic
483	C₄⋊#3622	C₂³	1	1	yes	characteristic
484	C₄⋊#3622	C₂³	1	1	yes	characteristic
485	C₄⋊#3622	C₂³	1	1	yes	characteristic
486	#10587474	C₂³	1	1	yes	characteristic
487	#10587474	C₂³	1	1	yes	characteristic
488	#10587474	C₂³	1	1	yes	characteristic
489	#10587474	C₂³	1	1	yes	characteristic
490	C₂⁴×C₁₇	—	2	1	no	—
491	C₂⁴×C₁₇	—	2	1	no	—
492	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
493	C₂⁴×C₁₇	C₂×D₄	1	1	yes	characteristic
494	#41×C₁₇	—	2	2	no	—
495	#41×C₁₇	—	2	2	no	—
496	#41×C₁₇	—	2	2	no	—
497	#41×C₁₇	—	2	2	no	—
498	#41×C₁₇	—	2	2	no	—
499	#41×C₁₇	—	2	2	no	—
500	#41×C₁₇	—	4	1	no	—
501	#41×C₁₇	—	4	1	no	—
502	#41×C₁₇	—	4	1	no	—
503	#41×C₁₇	—	4	1	no	—
504	#41×C₁₇	—	4	1	no	—
505	#41×C₁₇	—	4	1	no	—
506	#41×C₁₇	—	4	1	no	—
507	#41×C₁₇	—	4	1	no	—
508	#41×C₁₇	—	4	4	no	—
509	#41×C₁₇	—	4	4	no	—
510	#41×C₁₇	—	4	4	no	—
511	#41×C₁₇	—	4	4	no	—
512	C₂×Q₈×C₁₇	—	2	1	no	—
513	C₂×Q₈×C₁₇	—	2	1	no	—
514	C₂×Q₈×C₁₇	—	2	2	no	—
515	C₂×Q₈×C₁₇	—	2	2	no	—
516	C₂×Q₈×C₁₇	—	4	1	no	—
517	C₂×Q₈×C₁₇	—	4	1	no	—
518	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
519	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₇	—	2	1	no	—
522	C₂×D₄×C₁₇	—	2	2	no	—
523	C₂×D₄×C₁₇	—	2	2	no	—
524	C₂×D₄×C₁₇	—	2	1	no	—
525	C₂×D₄×C₁₇	—	2	1	no	—
526	C₂×D₄×C₁₇	—	2	1	no	—
527	C₂×D₄×C₁₇	—	2	1	no	—
528	C₂×D₄×C₁₇	—	2	1	no	—
529	C₂×D₄×C₁₇	—	2	1	no	—
530	C₂×D₄×C₁₇	—	2	1	no	—
531	C₂×D₄×C₁₇	—	2	1	no	—
532	C₂×D₄×C₁₇	—	2	1	no	—
533	C₂×D₄×C₁₇	—	2	1	no	—
534	C₂×D₄×C₁₇	—	2	1	no	—
535	C₂×D₄×C₁₇	—	2	1	no	—
536	C₂×D₄×C₁₇	—	2	1	no	—
537	C₂×D₄×C₁₇	—	2	1	no	—
538	C₂×D₄×C₁₇	—	4	1	no	—
539	C₂×D₄×C₁₇	—	4	1	no	—
540	C₂×D₄×C₁₇	—	4	2	no	—
541	C₂×D₄×C₁₇	—	4	4	no	—
542	C₂×D₄×C₁₇	—	4	4	no	—
543	C₂×D₄×C₁₇	—	4	4	no	—
544	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
547	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
548	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₇	—	2	1	no	—
552	C₂²×C₄×C₁₇	—	2	1	no	—
553	C₂²×C₄×C₁₇	—	2	1	no	—
554	C₂²×C₄×C₁₇	—	2	1	no	—
555	C₂²×C₄×C₁₇	—	2	1	no	—
556	C₂²×C₄×C₁₇	—	2	1	no	—
557	C₂²×C₄×C₁₇	—	2	1	no	—
558	C₂²×C₄×C₁₇	—	2	1	no	—
559	C₂²×C₄×C₁₇	—	2	1	no	—
560	C₂²×C₄×C₁₇	—	2	1	no	—
561	C₂²×C₄×C₁₇	—	2	1	no	—
562	C₂²×C₄×C₁₇	—	4	1	no	—
563	C₂²×C₄×C₁₇	—	4	1	no	—
564	C₂²×C₄×C₁₇	—	4	1	no	—
565	C₂²×C₄×C₁₇	—	4	1	no	—
566	C₂²×C₄×C₁₇	—	4	4	no	—
567	C₂²×C₄×C₁₇	—	4	4	no	—
568	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
574	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
575	C₂²×C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
576	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
581	C₂×C₂²⋊D₁₇	—	2	1	no	—
582	C₂×C₂²⋊D₁₇	—	2	1	no	—
583	C₂×C₂²⋊D₁₇	—	2	1	no	—
584	C₂×C₂²⋊D₁₇	—	2	1	no	—
585	C₂×C₂²⋊D₁₇	—	2	1	no	—
586	C₂²×Dic₁₇	—	2	1	no	—
587	C₂²×Dic₁₇	—	2	1	no	—
588	C₂²×Dic₁₇	—	2	1	no	—
589	C₂²×Dic₁₇	—	2	1	no	—
590	#63254	—	4	4	no	—
591	#63252	—	4	1	no	—
592	#63252	—	4	1	no	—
593	#63252	—	4	1	no	—
594	#63252	—	4	1	no	—
595	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₇	—	2	1	no	—
597	C₂×C₄×D₁₇	—	2	1	no	—
598	C₂×C₄×D₁₇	—	2	1	no	—
599	C₂×Dic₃₄	—	2	1	no	—
600	C₂×Dic₃₄	—	2	1	no	—
601	C₂×Dic₃₄	—	2	1	no	—
602	C₂×Dic₃₄	—	4	1	no	—
603	C₂×Dic₃₄	—	4	1	no	—
604	C₂×Dic₃₄	—	4	1	no	—
605	C₂×Dic₃₄	—	4	1	no	—
606	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₁₇	—	2	1	no	—
610	C₄⋊C₄×C₁₇	—	2	1	no	—
611	C₄⋊C₄×C₁₇	—	2	1	no	—
612	C₄⋊C₄×C₁₇	—	2	1	no	—
613	C₄⋊C₄×C₁₇	—	2	1	no	—
614	C₄⋊C₄×C₁₇	—	2	1	no	—
615	C₄⋊C₄×C₁₇	—	2	1	no	—
616	C₄⋊C₄×C₁₇	—	2	1	no	—
617	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
623	C₂²⋊C₄×C₁₇	—	2	1	no	—
624	C₂²⋊C₄×C₁₇	—	2	1	no	—
625	C₂²⋊C₄×C₁₇	—	2	1	no	—
626	C₂²⋊C₄×C₁₇	—	2	1	no	—
627	C₂²⋊C₄×C₁₇	—	2	1	no	—
628	C₂²⋊C₄×C₁₇	—	2	1	no	—
629	C₂²⋊C₄×C₁₇	—	2	1	no	—
630	C₂²⋊C₄×C₁₇	—	2	1	no	—
631	C₂²⋊C₄×C₁₇	—	2	1	no	—
632	C₂²⋊C₄×C₁₇	—	2	1	no	—
633	C₂²⋊C₄×C₁₇	—	2	1	no	—
634	C₂²⋊C₄×C₁₇	—	2	1	no	—
635	C₂²⋊C₄×C₁₇	—	2	1	no	—
636	C₂²⋊C₄×C₁₇	—	2	1	no	—
637	C₂²⋊C₄×C₁₇	—	2	1	no	—
638	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₁₇	—	2	1	no	—
647	C₄²×C₁₇	—	2	1	no	—
648	C₄²×C₁₇	—	2	1	no	—
649	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
650	C₄²×C₁₇	C₂×D₄	1	1	yes	characteristic
651	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
652	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
653	C₂²⋊Dic₁₇	—	2	1	no	—
654	C₂²⋊Dic₁₇	—	2	1	no	—
655	C₂²⋊Dic₁₇	—	2	1	no	—
656	C₂²⋊Dic₁₇	—	2	1	no	—
657	C₂²⋊Dic₁₇	—	2	1	no	—
658	C₂²⋊Dic₁₇	—	2	1	no	—
659	C₂²⋊Dic₁₇	—	2	1	no	—
660	C₂²⋊Dic₁₇	—	2	1	no	—
661	C₂²⋊Dic₁₇	—	2	1	no	—
662	C₂²⋊Dic₁₇	—	2	1	no	—
663	C₂²⋊Dic₁₇	—	2	1	no	—
664	#63231	—	2	2	no	—
665	#63231	—	2	2	no	—
666	#63231	—	2	2	no	—
667	#63231	—	4	1	no	—
668	#63231	—	4	1	no	—
669	#63231	—	4	1	no	—
670	#63231	—	4	1	no	—
671	#63231	—	4	1	no	—
672	#63231	—	4	1	no	—
673	#63230	—	2	2	no	—
674	#63230	—	4	1	no	—
675	#63230	—	4	1	no	—
676	#63229	—	2	2	no	—
677	#63229	—	2	2	no	—
678	#63229	—	2	2	no	—
679	#63229	—	4	1	no	—
680	#63229	—	4	1	no	—
681	#63229	—	4	1	no	—
682	#63229	—	4	1	no	—
683	#63229	—	4	1	no	—
684	#63229	—	4	1	no	—
685	#63228	—	2	2	no	—
686	#63228	—	4	1	no	—
687	#63228	—	4	1	no	—
688	#63227	—	2	1	no	—
689	#63227	—	2	1	no	—
690	#63227	—	2	1	no	—
691	#63227	—	2	1	no	—
692	#63227	—	2	1	no	—
693	#63227	—	2	1	no	—
694	C₄⋊Dic₁₇	—	2	1	no	—
695	C₄⋊Dic₁₇	—	2	1	no	—
696	C₄⋊Dic₁₇	—	2	1	no	—
697	C₄⋊Dic₁₇	—	2	1	no	—
698	C₄⋊Dic₁₇	—	2	1	no	—
699	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
703	#63225	—	2	1	no	—
704	#63225	—	2	1	no	—
705	#63225	—	2	1	no	—
706	#63225	—	2	1	no	—
707	#63225	—	2	1	no	—
708	#63225	—	2	1	no	—
709	#63225	—	2	1	no	—
710	#63225	—	2	1	no	—
711	#63225	—	2	1	no	—
712	#63225	—	2	1	no	—
713	#63225	—	2	1	no	—
714	#63225	—	2	1	no	—
715	#63225	—	2	1	no	—
716	#63225	—	2	1	no	—
717	C₄×Dic₁₇	—	2	1	no	—
718	C₄×Dic₁₇	—	2	1	no	—
719	C₄×Dic₁₇	—	2	1	no	—
720	C₄×Dic₁₇	—	2	1	no	—
721	C₄×Dic₁₇	—	2	1	no	—
722	#63223	—	4	1	no	—
723	#63223	—	4	1	no	—
724	#63223	—	4	1	no	—
725	#63223	—	4	1	no	—
726	C₂×#3622	—	4	1	no	—
727	C₂×#3622	—	4	1	no	—
728	C₂×#3622	—	4	1	no	—
729	C₂×#3622	—	4	1	no	—
730	C₂×#3622	C₂⁴	1	1	yes	characteristic
731	C₂×#3622	C₂⁴	1	1	yes	characteristic
732	C₂×#3622	C₂⁴	1	1	yes	characteristic
733	C₂×#3622	C₂⁴	1	1	yes	characteristic
734	C₂×#3622	C₂⁴	1	1	yes	characteristic
735	C₂×#3622	C₂⁴	1	1	yes	characteristic
736	C₂×#3622	C₂⁴	1	1	yes	characteristic
737	C₂×#3622	C₂⁴	1	1	yes	characteristic
738	#61580	—	17	1	no	maximal, Sylow
739	C₂³×C₁₇	—	2	1	no	—
740	C₂³×C₁₇	—	2	2	no	—
741	C₂³×C₁₇	—	2	1	no	—
742	C₂³×C₁₇	—	2	1	no	—
743	C₂³×C₁₇	—	4	1	no	—
744	C₂³×C₁₇	—	4	1	no	—
745	C₂³×C₁₇	—	4	1	no	—
746	C₂³×C₁₇	—	4	1	no	—
747	C₂³×C₁₇	—	4	1	no	—
748	C₂³×C₁₇	—	4	2	no	—
749	C₂³×C₁₇	—	4	2	no	—
750	C₂³×C₁₇	—	4	2	no	—
751	C₂³×C₁₇	—	4	2	no	—
752	C₂³×C₁₇	—	8	1	no	—
753	C₂³×C₁₇	—	8	1	no	—
754	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
756	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
757	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂²×D₁₇	—	2	1	no	—
760	Q₈×C₁₇	—	2	1	no	—
761	Q₈×C₁₇	—	2	1	no	—
762	Q₈×C₁₇	—	2	1	no	—
763	Q₈×C₁₇	—	2	1	no	—
764	Q₈×C₁₇	—	2	1	no	—
765	Q₈×C₁₇	—	4	2	no	—
766	Q₈×C₁₇	—	4	2	no	—
767	Q₈×C₁₇	H(5,𝔽₂)	1	2	yes	—
768	D₄×C₁₇	—	2	4	no	—
769	D₄×C₁₇	—	2	2	no	—
770	D₄×C₁₇	—	2	2	no	—
771	D₄×C₁₇	—	2	1	no	—
772	D₄×C₁₇	—	2	1	no	—
773	D₄×C₁₇	—	2	1	no	—
774	D₄×C₁₇	—	2	1	no	—
775	D₄×C₁₇	—	2	1	no	—
776	D₄×C₁₇	—	4	1	no	—
777	D₄×C₁₇	—	4	1	no	—
778	D₄×C₁₇	—	4	2	no	—
779	D₄×C₁₇	—	4	2	no	—
780	D₄×C₁₇	—	4	2	no	—
781	D₄×C₁₇	—	4	2	no	—
782	D₄×C₁₇	—	4	2	no	—
783	D₄×C₁₇	—	4	2	no	—
784	D₄×C₁₇	—	4	2	no	—
785	D₄×C₁₇	—	4	2	no	—
786	D₄×C₁₇	—	4	2	no	—
787	D₄×C₁₇	—	4	2	no	—
788	D₄×C₁₇	—	4	2	no	—
789	D₄×C₁₇	—	8	1	no	—
790	D₄×C₁₇	—	8	1	no	—
791	D₄×C₁₇	—	8	1	no	—
792	D₄×C₁₇	H(5,𝔽₂)	1	2	yes	—
793	C₂×C₄×C₁₇	—	2	4	no	—
794	C₂×C₄×C₁₇	—	2	1	no	—
795	C₂×C₄×C₁₇	—	2	1	no	—
796	C₂×C₄×C₁₇	—	2	1	no	—
797	C₂×C₄×C₁₇	—	2	1	no	—
798	C₂×C₄×C₁₇	—	2	1	no	—
799	C₂×C₄×C₁₇	—	2	1	no	—
800	C₂×C₄×C₁₇	—	2	1	no	—
801	C₂×C₄×C₁₇	—	2	1	no	—
802	C₂×C₄×C₁₇	—	2	1	no	—
803	C₂×C₄×C₁₇	—	2	1	no	—
804	C₂×C₄×C₁₇	—	2	1	no	—
805	C₂×C₄×C₁₇	—	2	1	no	—
806	C₂×C₄×C₁₇	—	2	1	no	—
807	C₂×C₄×C₁₇	—	2	1	no	—
808	C₂×C₄×C₁₇	—	2	1	no	—
809	C₂×C₄×C₁₇	—	4	1	no	—
810	C₂×C₄×C₁₇	—	4	1	no	—
811	C₂×C₄×C₁₇	—	4	1	no	—
812	C₂×C₄×C₁₇	—	4	1	no	—
813	C₂×C₄×C₁₇	—	4	1	no	—
814	C₂×C₄×C₁₇	—	4	1	no	—
815	C₂×C₄×C₁₇	—	4	1	no	—
816	C₂×C₄×C₁₇	—	4	1	no	—
817	C₂×C₄×C₁₇	—	4	2	no	—
818	C₂×C₄×C₁₇	—	4	2	no	—
819	C₂×C₄×C₁₇	—	4	2	no	—
820	C₂×C₄×C₁₇	—	4	2	no	—
821	C₂×C₄×C₁₇	—	4	2	no	—
822	C₂×C₄×C₁₇	—	4	2	no	—
823	C₂×C₄×C₁₇	—	4	2	no	—
824	C₂×C₄×C₁₇	—	4	2	no	—
825	C₂×C₄×C₁₇	—	4	2	no	—
826	C₂×C₄×C₁₇	—	8	1	no	—
827	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
837	C₂²⋊D₁₇	—	4	2	no	—
838	C₂²⋊D₁₇	—	4	2	no	—
839	C₂²⋊D₁₇	—	4	2	no	—
840	C₂²⋊D₁₇	—	8	1	no	—
841	C₂²⋊D₁₇	—	8	1	no	—
842	C₂×Dic₁₇	—	2	1	no	—
843	C₂×Dic₁₇	—	2	1	no	—
844	C₂×Dic₁₇	—	2	1	no	—
845	C₂×Dic₁₇	—	2	1	no	—
846	C₂×Dic₁₇	—	2	1	no	—
847	C₂×Dic₁₇	—	2	1	no	—
848	C₂×Dic₁₇	—	2	1	no	—
849	C₂×Dic₁₇	—	4	2	no	—
850	C₂×Dic₁₇	—	4	2	no	—
851	C₂×Dic₁₇	—	8	1	no	—
852	C₂×Dic₁₇	—	8	1	no	—
853	D₆₈	—	2	1	no	—
854	D₆₈	—	2	1	no	—
855	C₄×D₁₇	—	4	2	no	—
856	C₄×D₁₇	—	8	1	no	—
857	C₄×D₁₇	—	8	1	no	—
858	Dic₃₄	—	2	1	no	—
859	Dic₃₄	—	2	1	no	—
860	Dic₃₄	—	2	1	no	—
861	Dic₃₄	—	2	1	no	—
862	Dic₃₄	—	2	1	no	—
863	Dic₃₄	—	2	1	no	—
864	Dic₃₄	—	4	2	no	—
865	Dic₃₄	—	8	1	no	—
866	Dic₃₄	—	8	1	no	—
867	#3622	—	2	1	no	—
868	#3622	—	2	1	no	—
869	#3622	—	2	1	no	—
870	#3622	—	2	1	no	—
871	#3622	—	2	1	no	—
872	#3622	—	2	1	no	—
873	#3622	—	2	1	no	—
874	#3622	—	2	1	no	—
875	#3520	—	17	1	no	—
876	D₄×#41	D₁₇	1	1	yes	characteristic, complemented
877	#3317	—	17	1	no	—
878	#3315	—	17	1	no	—
879	#3313	—	17	1	no	—
880	#3312	—	17	1	no	—
881	#3311	—	17	1	no	—
882	#3310	—	17	1	no	—
883	#3308	—	17	1	no	—
884	#3306	—	17	1	no	—
885	#3271	—	17	1	no	—
886	#3270	—	17	1	no	—
887	#3270	—	17	1	no	—
888	#3269	—	17	1	no	—
889	#3269	—	17	1	no	—
890	#3267	—	17	1	no	—
891	#3266	—	17	1	no	—
892	#3265	—	17	1	no	—
893	#3219	—	17	1	no	—
894	#3216	—	17	1	no	—
895	#3197	—	17	1	no	—
896	#3196	—	17	1	no	—
897	#3191	—	17	1	no	—
898	#3190	—	17	1	no	—
899	#3116	—	17	1	no	—
900	#3111	—	17	1	no	—
901	#3007	—	17	1	no	—
902	#3005	—	17	1	no	—
903	#3002	—	17	1	no	—
904	C₂×#452	—	17	1	no	—
905	#2973	—	17	1	no	—
906	C₂²×C₁₇	—	2	1	no	—
907	C₂²×C₁₇	—	2	1	no	—
908	C₂²×C₁₇	—	2	1	no	—
909	C₂²×C₁₇	—	2	1	no	—
910	C₂²×C₁₇	—	2	1	no	—
911	C₂²×C₁₇	—	2	1	no	—
912	C₂²×C₁₇	—	2	1	no	—
913	C₂²×C₁₇	—	2	1	no	—
914	C₂²×C₁₇	—	2	1	no	—
915	C₂²×C₁₇	—	2	1	no	—
916	C₂²×C₁₇	—	2	2	no	—
917	C₂²×C₁₇	—	2	1	no	—
918	C₂²×C₁₇	—	2	1	no	—
919	C₂²×C₁₇	—	2	1	no	—
920	C₂²×C₁₇	—	2	1	no	—
921	C₂²×C₁₇	—	4	1	no	—
922	C₂²×C₁₇	—	4	1	no	—
923	C₂²×C₁₇	—	4	1	no	—
924	C₂²×C₁₇	—	4	1	no	—
925	C₂²×C₁₇	—	4	1	no	—
926	C₂²×C₁₇	—	4	1	no	—
927	C₂²×C₁₇	—	4	1	no	—
928	C₂²×C₁₇	—	4	1	no	—
929	C₂²×C₁₇	—	8	2	no	—
930	C₂²×C₁₇	—	8	4	no	—
931	C₂²×C₁₇	—	8	2	no	—
932	C₂²×C₁₇	—	8	4	no	—
933	C₂²×C₁₇	#575	1	2	yes	—
934	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
935	C₂×D₁₇	—	4	1	no	—
936	C₂×D₁₇	—	4	1	no	—
937	C₂×D₁₇	—	4	1	no	—
938	C₄×C₁₇	—	2	1	no	—
939	C₄×C₁₇	—	2	1	no	—
940	C₄×C₁₇	—	2	1	no	—
941	C₄×C₁₇	—	2	1	no	—
942	C₄×C₁₇	—	2	1	no	—
943	C₄×C₁₇	—	2	1	no	—
944	C₄×C₁₇	—	2	1	no	—
945	C₄×C₁₇	—	2	2	no	—
946	C₄×C₁₇	—	2	1	no	—
947	C₄×C₁₇	—	2	1	no	—
948	C₄×C₁₇	—	4	1	no	—
949	C₄×C₁₇	—	4	1	no	—
950	C₄×C₁₇	—	4	1	no	—
951	C₄×C₁₇	—	4	1	no	—
952	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
953	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
954	Dic₁₇	—	4	1	no	—
955	Dic₁₇	—	4	1	no	—
956	Dic₁₇	—	4	1	no	—
957	Dic₁₇	—	4	1	no	—
958	Dic₁₇	—	4	1	no	—
959	Dic₁₇	—	4	1	no	—
960	Dic₁₇	—	4	1	no	—
961	C₂²×#41	C₂×D₁₇	1	1	yes	characteristic
962	C₂²×#41	C₂×D₁₇	1	1	yes	characteristic
963	C₂×#137	—	17	1	no	—
964	C₂×#137	—	17	1	no	—
965	C₂×#137	—	17	1	no	—
966	C₂×AGL(1,ℤ/8)	—	17	1	no	—
967	C₂×#135	—	17	1	no	—
968	C₂×#135	—	17	1	no	—
969	C₂²×Q₁₆	—	17	1	no	—
970	C₂²×SD₁₆	—	17	1	no	—
971	#556	—	17	1	no	—
972	#554	—	34	1	no	—
973	#552	—	17	1	no	—
974	#552	—	17	1	no	—
975	#551	—	34	1	no	—
976	#551	—	34	1	no	—
977	#550	C₂×D₁₇	1	1	yes	characteristic
978	D₄×Q₈	—	17	1	no	—
979	D₄×Q₈	C₂×D₁₇	1	1	yes	characteristic
980	#548	—	17	1	no	—
981	#548	—	17	1	no	—
982	#548	C₂×D₁₇	1	1	yes	characteristic
983	#548	C₂×D₁₇	1	1	yes	characteristic
984	#547	—	2	1	no	—
985	#547	—	17	1	no	—
986	#547	—	17	1	no	—
987	#547	C₂×D₁₇	1	1	yes	characteristic
988	#546	—	2	1	no	—
989	#546	—	2	1	no	—
990	#546	—	34	1	no	—
991	#546	C₂×D₁₇	1	1	yes	characteristic
992	#546	C₂×D₁₇	1	1	yes	characteristic
993	D₄²	—	2	1	no	—
994	D₄²	C₂×D₁₇	1	1	yes	characteristic
995	#542	—	34	1	no	—
996	#539	—	34	1	no	—
997	#539	—	34	1	no	—
998	#533	—	17	1	no	—
999	#532	—	2	1	no	—
1000	#532	C₂×D₁₇	1	1	yes	characteristic
1001	#529	—	17	1	no	—
1002	#525	—	2	1	no	—
1003	#525	—	2	1	no	—
1004	#525	—	17	1	no	—
1005	#525	—	17	1	no	—
1006	#525	C₂×D₁₇	1	1	yes	characteristic
1007	#525	C₂×D₁₇	1	1	yes	characteristic
1008	C₂×C₂²⋊Q₈	—	17	1	no	—
1009	C₂×C₂²⋊Q₈	—	17	1	no	—
1010	#520	—	34	1	no	—
1011	C₄×#41	C₂×D₁₇	1	1	yes	characteristic
1012	C₂×C₄×D₄	—	2	1	no	—
1013	C₂×C₄×D₄	C₂×D₁₇	1	1	yes	characteristic
1014	#497	—	17	1	no	—
1015	#497	—	17	1	no	—
1016	#497	—	17	1	no	—
1017	#496	—	17	1	no	—
1018	#491	—	17	1	no	—
1019	#490	—	17	1	no	—
1020	#489	—	17	1	no	—
1021	#489	—	17	1	no	—
1022	#485	—	17	1	no	—
1023	#485	—	17	1	no	—
1024	#485	—	17	1	no	—
1025	#485	—	17	1	no	—
1026	#485	—	17	1	no	—
1027	#484	—	17	1	no	—
1028	#483	—	17	1	no	—
1029	#482	—	17	1	no	—
1030	#482	—	17	1	no	—
1031	#482	—	17	1	no	—
1032	#481	—	17	1	no	—
1033	#480	—	17	1	no	—
1034	#479	—	17	1	no	—
1035	#478	—	17	1	no	—
1036	#477	—	17	1	no	—
1037	#476	—	17	1	no	—
1038	#470	—	17	1	no	—
1039	#470	—	17	1	no	—
1040	#470	—	17	1	no	—
1041	#469	—	17	1	no	—
1042	#468	—	17	1	no	—
1043	#468	—	17	1	no	—
1044	#468	—	17	1	no	—
1045	#468	—	17	1	no	—
1046	#467	—	17	1	no	—
1047	#467	—	17	1	no	—
1048	#467	—	17	1	no	—
1049	#466	—	17	1	no	—
1050	#465	—	17	1	no	—
1051	#465	—	17	1	no	—
1052	#465	—	17	1	no	—
1053	#465	—	17	1	no	—
1054	#464	—	17	1	no	—
1055	#464	—	17	1	no	—
1056	#464	—	17	1	no	—
1057	#463	—	17	1	no	—
1058	#463	—	17	1	no	—
1059	#463	—	17	1	no	—
1060	#462	—	17	1	no	—
1061	#462	—	17	1	no	—
1062	#462	—	17	1	no	—
1063	#461	—	17	1	no	—
1064	#460	—	17	1	no	—
1065	#460	—	17	1	no	—
1066	#452	—	17	1	no	—
1067	#452	—	17	1	no	—
1068	#452	—	17	1	no	—
1069	#452	—	17	1	no	—
1070	#452	—	17	1	no	—
1071	#452	—	17	1	no	—
1072	#452	—	17	1	no	—
1073	#452	—	17	1	no	—
1074	#452	—	17	1	no	—
1075	#452	—	17	1	no	—
1076	#452	—	17	1	no	—
1077	#452	—	17	1	no	—
1078	#452	—	17	1	no	—
1079	#452	—	17	1	no	—
1080	#452	—	17	1	no	—
1081	#452	—	17	1	no	—
1082	#452	—	17	1	no	—
1083	#451	—	17	1	no	—
1084	#451	—	17	1	no	—
1085	#451	—	17	1	no	—
1086	#451	—	17	1	no	—
1087	#451	—	17	1	no	—
1088	#450	—	17	1	no	—
1089	#450	—	17	1	no	—
1090	#450	—	17	1	no	—
1091	#449	—	17	1	no	—
1092	#449	—	17	1	no	—
1093	#449	—	17	1	no	—
1094	#449	—	17	1	no	—
1095	#449	—	17	1	no	—
1096	#449	—	17	1	no	—
1097	#449	—	17	1	no	—
1098	#448	—	17	1	no	—
1099	#448	—	17	1	no	—
1100	#448	—	17	1	no	—
1101	#447	—	17	1	no	—
1102	#442	—	17	1	no	—
1103	#441	—	17	1	no	—
1104	#441	—	17	1	no	—
1105	#441	—	17	1	no	—
1106	#440	—	17	1	no	—
1107	#440	—	17	1	no	—
1108	#440	—	17	1	no	—
1109	#440	—	17	1	no	—
1110	#435	—	17	1	no	—
1111	#435	—	17	1	no	—
1112	#435	—	17	1	no	—
1113	#435	—	17	1	no	—
1114	#435	—	17	1	no	—
1115	#435	—	17	1	no	—
1116	#435	—	17	1	no	—
1117	#435	—	17	1	no	—
1118	#432	—	17	1	no	—
1119	#432	—	17	1	no	—
1120	#419	—	17	1	no	—
1121	#418	—	17	1	no	—
1122	#417	—	17	1	no	—
1123	#417	—	17	1	no	—
1124	#416	—	17	1	no	—
1125	#416	—	17	1	no	—
1126	C₂×#103	—	17	1	no	—
1127	C₂×#102	—	17	1	no	—
1128	#407	—	17	1	no	—
1129	#407	—	17	1	no	—
1130	C₂×C₂²⋊C₈	—	17	1	no	—
1131	C₂×C₂²⋊C₈	—	17	1	no	—
1132	C₂×C₁₇	—	2	2	no	—
1133	C₂×C₁₇	—	4	1	no	—
1134	C₂×C₁₇	—	4	1	no	—
1135	C₂×C₁₇	—	4	1	no	—
1136	C₂×C₁₇	—	4	1	no	—
1137	C₂×C₁₇	—	4	2	no	—
1138	C₂×C₁₇	—	8	1	no	—
1139	C₂×C₁₇	—	8	1	no	—
1140	C₂×C₁₇	#3484	1	1	yes	characteristic
1141	C₂×C₁₇	C₂×#575	1	1	yes	characteristic
1142	C₂×C₁₇	#3586	1	1	yes	characteristic
1143	D₁₇	—	8	1	no	—
1144	C₂×#41	—	2	1	no	—
1145	C₂×#41	—	2	1	no	—
1146	C₂×#41	—	2	1	no	—
1147	C₂×#41	—	2	1	no	—
1148	C₂×#41	—	4	2	no	—
1149	C₂×#41	—	4	2	no	—
1150	C₂×#41	—	4	2	no	—
1151	C₂×#41	—	4	2	no	—
1152	C₂×#41	—	17	1	no	—
1153	C₂×#41	—	17	1	no	—
1154	C₂×#41	—	34	1	no	—
1155	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1156	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1157	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1158	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1159	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1160	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1161	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1162	C₂²×Q₈	—	17	1	no	—
1163	C₂²×Q₈	—	17	1	no	—
1164	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1165	C₂²×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1166	C₂²×D₄	—	2	1	no	—
1167	C₂²×D₄	—	2	1	no	—
1168	C₂²×D₄	—	2	1	no	—
1169	C₂²×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1170	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1171	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1172	C₂³×C₄	—	2	1	no	—
1173	C₂³×C₄	—	2	1	no	—
1174	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
1175	C₂³×C₄	C₂²×D₁₇	1	1	yes	characteristic
1176	#137	—	68	2	no	—
1177	#137	—	68	2	no	—
1178	#137	—	68	2	no	—
1179	AGL(1,ℤ/8)	—	68	2	no	—
1180	#135	—	68	2	no	—
1181	#135	—	68	2	no	—
1182	C₂×Q₁₆	—	17	1	no	—
1183	C₂×Q₁₆	—	17	1	no	—
1184	C₂×Q₁₆	—	17	1	no	—
1185	C₂×Q₁₆	—	17	1	no	—
1186	C₂×Q₁₆	—	17	1	no	—
1187	C₂×Q₁₆	—	17	1	no	—
1188	C₂×Q₁₆	—	17	1	no	—
1189	C₂×Q₁₆	—	17	1	no	—
1190	C₂×Q₁₆	—	17	1	no	—
1191	C₂×Q₁₆	—	68	2	no	—
1192	C₂×SD₁₆	—	17	1	no	—
1193	C₂×SD₁₆	—	17	1	no	—
1194	C₂×SD₁₆	—	17	1	no	—
1195	C₂×SD₁₆	—	17	1	no	—
1196	C₂×SD₁₆	—	17	1	no	—
1197	C₂×SD₁₆	—	17	1	no	—
1198	C₂×SD₁₆	—	17	1	no	—
1199	C₂×SD₁₆	—	17	1	no	—
1200	C₂×SD₁₆	—	17	1	no	—
1201	C₂×SD₁₆	—	17	1	no	—
1202	C₂×SD₁₆	—	17	1	no	—
1203	C₂×SD₁₆	—	17	1	no	—
1204	C₂×SD₁₆	—	68	2	no	—
1205	C₂×D₈	—	17	1	no	—
1206	C₂×D₈	—	17	1	no	—
1207	C₂×D₈	—	17	1	no	—
1208	C₂×M₁₆	—	17	1	no	—
1209	C₂×M₁₆	—	17	1	no	—
1210	C₂×M₁₆	—	17	1	no	—
1211	C₂×M₁₆	—	17	1	no	—
1212	C₂²×C₈	—	17	1	no	—
1213	C₂²×C₈	—	17	1	no	—
1214	C₂²×C₈	—	17	1	no	—
1215	C₂²×C₈	—	17	1	no	—
1216	C₄⋊Q₈	—	2	1	no	—
1217	C₄⋊Q₈	—	17	1	no	—
1218	C₄⋊Q₈	—	17	1	no	—
1219	C₄⋊Q₈	—	34	1	no	—
1220	C₄⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1221	#127	—	2	1	no	—
1222	#127	C₂²×D₁₇	1	1	yes	characteristic
1223	#126	—	34	1	no	—
1224	#126	—	34	1	no	—
1225	#126	—	34	1	no	—
1226	#126	—	34	1	no	—
1227	#126	—	34	1	no	—
1228	#125	—	17	1	no	—
1229	#125	—	34	1	no	—
1230	#125	—	34	1	no	—
1231	#125	—	34	1	no	—
1232	#124	—	2	1	no	—
1233	#124	—	2	1	no	—
1234	#124	—	17	1	no	—
1235	#124	—	34	1	no	—
1236	#124	—	34	1	no	—
1237	#124	—	34	1	no	—
1238	#124	C₂²×D₁₇	1	1	yes	characteristic
1239	#124	C₂²×D₁₇	1	1	yes	characteristic
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	34	1	no	—
1247	#123	—	34	1	no	—
1248	#123	—	34	1	no	—
1249	#123	—	34	1	no	—
1250	#123	—	34	1	no	—
1251	#123	—	34	1	no	—
1252	#123	—	34	1	no	—
1253	#123	—	34	1	no	—
1254	#123	—	34	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	17	1	no	—
1260	C₂²⋊Q₈	—	17	1	no	—
1261	C₂²⋊Q₈	—	17	1	no	—
1262	C₂²⋊Q₈	—	17	1	no	—
1263	C₂²⋊Q₈	—	17	1	no	—
1264	C₂²⋊Q₈	—	17	1	no	—
1265	C₂²⋊Q₈	—	17	1	no	—
1266	C₂²⋊Q₈	—	17	1	no	—
1267	C₂²⋊Q₈	—	17	1	no	—
1268	C₂²⋊Q₈	—	34	1	no	—
1269	C₂²⋊Q₈	—	34	1	no	—
1270	C₂²⋊Q₈	—	34	1	no	—
1271	C₂²⋊Q₈	—	34	1	no	—
1272	C₂²⋊Q₈	—	34	1	no	—
1273	C₂²⋊Q₈	—	34	1	no	—
1274	C₂²⋊Q₈	—	34	1	no	—
1275	C₂²⋊Q₈	—	34	1	no	—
1276	C₂²⋊Q₈	—	34	1	no	—
1277	C₂²⋊Q₈	—	34	1	no	—
1278	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1279	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1280	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1281	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	17	1	no	—
1293	#121	—	17	1	no	—
1294	#121	—	17	1	no	—
1295	#121	—	34	1	no	—
1296	#121	—	34	1	no	—
1297	#121	—	34	1	no	—
1298	#121	C₂²×D₁₇	1	1	yes	characteristic
1299	#121	C₂²×D₁₇	1	1	yes	characteristic
1300	#121	C₂²×D₁₇	1	1	yes	characteristic
1301	#121	C₂²×D₁₇	1	1	yes	characteristic
1302	#120	—	2	1	no	—
1303	#120	—	2	1	no	—
1304	#120	—	2	1	no	—
1305	#120	—	2	1	no	—
1306	#120	—	2	1	no	—
1307	#120	—	2	1	no	—
1308	#120	—	34	1	no	—
1309	#120	—	34	1	no	—
1310	C₄×Q₈	—	17	1	no	—
1311	C₄×Q₈	—	17	1	no	—
1312	C₄×Q₈	—	17	1	no	—
1313	C₄×Q₈	—	34	1	no	—
1314	C₄×Q₈	—	34	1	no	—
1315	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1316	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1317	C₄×D₄	—	2	1	no	—
1318	C₄×D₄	—	2	1	no	—
1319	C₄×D₄	—	2	1	no	—
1320	C₄×D₄	—	2	1	no	—
1321	C₄×D₄	—	2	1	no	—
1322	C₄×D₄	—	2	1	no	—
1323	C₄×D₄	—	2	1	no	—
1324	C₄×D₄	—	2	1	no	—
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	17	1	no	—
1330	C₄×D₄	—	34	1	no	—
1331	C₄×D₄	—	34	1	no	—
1332	C₄×D₄	—	34	1	no	—
1333	C₄×D₄	—	34	1	no	—
1334	C₄×D₄	—	34	1	no	—
1335	C₄×D₄	—	34	1	no	—
1336	C₄×D₄	—	34	1	no	—
1337	C₄×D₄	—	34	1	no	—
1338	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1339	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1340	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1341	C₄×D₄	C₂²⋊D₁₇	1	1	yes	characteristic
1342	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1343	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1344	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1345	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1346	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1347	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1348	#117	—	2	1	no	—
1349	#117	—	17	1	no	—
1350	#117	—	17	1	no	—
1351	#117	—	34	1	no	—
1352	#117	—	34	1	no	—
1353	#117	—	34	1	no	—
1354	#117	—	34	1	no	—
1355	#117	C₂²×D₁₇	1	1	yes	characteristic
1356	C₂×C₄⋊C₄	—	2	1	no	—
1357	C₂×C₄⋊C₄	—	17	1	no	—
1358	C₂×C₄⋊C₄	—	17	1	no	—
1359	C₂×C₄⋊C₄	—	34	1	no	—
1360	C₂×C₄⋊C₄	—	34	1	no	—
1361	C₂×C₄⋊C₄	—	34	1	no	—
1362	C₂×C₄⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1363	C₂×C₂²⋊C₄	—	2	1	no	—
1364	C₂×C₂²⋊C₄	—	2	1	no	—
1365	C₂×C₂²⋊C₄	—	34	1	no	—
1366	C₂×C₂²⋊C₄	—	34	1	no	—
1367	C₂×C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1368	C₂×C₂²⋊C₄	C₂²⋊D₁₇	1	1	yes	characteristic
1369	C₂×C₄²	—	2	1	no	—
1370	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1371	#107	—	17	1	no	—
1372	#107	—	17	1	no	—
1373	#107	—	17	1	no	—
1374	#107	—	17	1	no	—
1375	#106	—	17	1	no	—
1376	#106	—	17	1	no	—
1377	#106	—	17	1	no	—
1378	#106	—	17	1	no	—
1379	C₄⋊C₈	—	17	1	no	—
1380	C₄⋊C₈	—	17	1	no	—
1381	C₄⋊C₈	—	17	1	no	—
1382	C₄⋊C₈	—	17	1	no	—
1383	#103	—	17	1	no	—
1384	#103	—	17	1	no	—
1385	#103	—	17	1	no	—
1386	#103	—	17	1	no	—
1387	#103	—	17	1	no	—
1388	#103	—	17	1	no	—
1389	#103	—	17	1	no	—
1390	#103	—	17	1	no	—
1391	#103	—	17	1	no	—
1392	#103	—	17	1	no	—
1393	#103	—	17	1	no	—
1394	#103	—	17	1	no	—
1395	#103	—	17	1	no	—
1396	#103	—	17	1	no	—
1397	#103	—	17	1	no	—
1398	#103	—	17	1	no	—
1399	#103	—	17	1	no	—
1400	#103	—	17	1	no	—
1401	#102	—	17	1	no	—
1402	#102	—	17	1	no	—
1403	#102	—	17	1	no	—
1404	#102	—	17	1	no	—
1405	#102	—	17	1	no	—
1406	#102	—	17	1	no	—
1407	#102	—	17	1	no	—
1408	#102	—	17	1	no	—
1409	#102	—	17	1	no	—
1410	#102	—	17	1	no	—
1411	#102	—	17	1	no	—
1412	#102	—	17	1	no	—
1413	#102	—	17	1	no	—
1414	#102	—	17	1	no	—
1415	C₂²⋊C₈	—	17	1	no	—
1416	C₂²⋊C₈	—	17	1	no	—
1417	C₂²⋊C₈	—	17	1	no	—
1418	C₂²⋊C₈	—	17	1	no	—
1419	C₂²⋊C₈	—	17	1	no	—
1420	C₂²⋊C₈	—	17	1	no	—
1421	C₂²⋊C₈	—	17	1	no	—
1422	C₂²⋊C₈	—	17	1	no	—
1423	C₂²⋊C₈	—	17	1	no	—
1424	C₂²⋊C₈	—	17	1	no	—
1425	C₂²⋊C₈	—	17	1	no	—
1426	C₂²⋊C₈	—	17	1	no	—
1427	#97	—	17	1	no	—
1428	#97	—	17	1	no	—
1429	#97	—	17	1	no	—
1430	#97	—	17	1	no	—
1431	C₁₇	#61580	1	1	yes	characteristic, complemented, Sylow
1432	C₂⁴	—	2	1	no	—
1433	C₂⁴	—	2	1	no	—
1434	C₂⁴	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1435	C₂⁴	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1436	#41	—	2	2	no	—
1437	#41	—	2	2	no	—
1438	#41	—	2	2	no	—
1439	#41	—	2	2	no	—
1440	#41	—	2	2	no	—
1441	#41	—	2	2	no	—
1442	#41	—	4	1	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	1	no	—
1448	#41	—	4	1	no	—
1449	#41	—	4	1	no	—
1450	#41	—	4	4	no	—
1451	#41	—	4	4	no	—
1452	#41	—	4	4	no	—
1453	#41	—	4	4	no	—
1454	#41	—	68	1	no	—
1455	#41	—	68	1	no	—
1456	#41	—	68	1	no	—
1457	#41	—	68	1	no	—
1458	#41	—	68	4	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	2	2	no	—
1462	C₂×Q₈	—	2	2	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	4	1	no	—
1465	C₂×Q₈	—	17	1	no	—
1466	C₂×Q₈	—	17	1	no	—
1467	C₂×Q₈	—	17	1	no	—
1468	C₂×Q₈	—	34	1	no	—
1469	C₂×Q₈	—	34	1	no	—
1470	C₂×Q₈	—	34	1	no	—
1471	C₂×Q₈	—	68	1	no	—
1472	C₂×Q₈	—	68	1	no	—
1473	C₂×Q₈	—	68	1	no	—
1474	C₂×Q₈	—	68	1	no	—
1475	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1476	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1477	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	2	no	—
1480	C₂×D₄	—	2	2	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	4	1	no	—
1496	C₂×D₄	—	4	1	no	—
1497	C₂×D₄	—	4	2	no	—
1498	C₂×D₄	—	4	4	no	—
1499	C₂×D₄	—	4	4	no	—
1500	C₂×D₄	—	4	4	no	—
1501	C₂×D₄	—	17	1	no	—
1502	C₂×D₄	—	34	1	no	—
1503	C₂×D₄	—	34	1	no	—
1504	C₂×D₄	—	34	1	no	—
1505	C₂×D₄	—	34	1	no	—
1506	C₂×D₄	—	34	1	no	—
1507	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1508	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1509	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1510	C₂×D₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1511	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1513	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	2	1	no	—
1521	C₂²×C₄	—	2	1	no	—
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	4	1	no	—
1526	C₂²×C₄	—	4	1	no	—
1527	C₂²×C₄	—	4	1	no	—
1528	C₂²×C₄	—	4	1	no	—
1529	C₂²×C₄	—	4	4	no	—
1530	C₂²×C₄	—	4	4	no	—
1531	C₂²×C₄	—	34	1	no	—
1532	C₂²×C₄	—	34	1	no	—
1533	C₂²×C₄	—	34	1	no	—
1534	C₂²×C₄	—	34	1	no	—
1535	C₂²×C₄	—	34	1	no	—
1536	C₂²×C₄	—	34	1	no	—
1537	C₂²×C₄	—	34	1	no	—
1538	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1539	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1540	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1541	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1542	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1543	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1544	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1545	C₂²×C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1546	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1547	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1548	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1549	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1550	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1551	Q₁₆	—	34	2	no	—
1552	Q₁₆	—	34	2	no	—
1553	Q₁₆	—	34	2	no	—
1554	Q₁₆	—	68	1	no	—
1555	Q₁₆	—	68	1	no	—
1556	Q₁₆	—	68	1	no	—
1557	Q₁₆	—	68	1	no	—
1558	Q₁₆	—	68	1	no	—
1559	Q₁₆	—	68	1	no	—
1560	SD₁₆	—	34	2	no	—
1561	SD₁₆	—	34	2	no	—
1562	SD₁₆	—	34	2	no	—
1563	SD₁₆	—	34	2	no	—
1564	SD₁₆	—	68	1	no	—
1565	SD₁₆	—	68	1	no	—
1566	SD₁₆	—	68	1	no	—
1567	SD₁₆	—	68	1	no	—
1568	SD₁₆	—	68	1	no	—
1569	SD₁₆	—	68	1	no	—
1570	SD₁₆	—	68	1	no	—
1571	SD₁₆	—	68	1	no	—
1572	D₈	—	34	2	no	—
1573	D₈	—	68	1	no	—
1574	D₈	—	68	1	no	—
1575	M₁₆	—	68	1	no	—
1576	M₁₆	—	68	1	no	—
1577	M₁₆	—	68	1	no	—
1578	M₁₆	—	68	1	no	—
1579	C₂×C₈	—	17	1	no	—
1580	C₂×C₈	—	17	1	no	—
1581	C₂×C₈	—	17	1	no	—
1582	C₂×C₈	—	17	1	no	—
1583	C₂×C₈	—	17	1	no	—
1584	C₂×C₈	—	17	1	no	—
1585	C₂×C₈	—	17	1	no	—
1586	C₂×C₈	—	17	1	no	—
1587	C₂×C₈	—	68	1	no	—
1588	C₂×C₈	—	68	1	no	—
1589	C₂×C₈	—	68	1	no	—
1590	C₂×C₈	—	68	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	17	1	no	—
1600	C₄⋊C₄	—	17	1	no	—
1601	C₄⋊C₄	—	17	1	no	—
1602	C₄⋊C₄	—	17	1	no	—
1603	C₄⋊C₄	—	34	1	no	—
1604	C₄⋊C₄	—	34	1	no	—
1605	C₄⋊C₄	—	34	1	no	—
1606	C₄⋊C₄	—	34	1	no	—
1607	C₄⋊C₄	—	34	1	no	—
1608	C₄⋊C₄	—	34	1	no	—
1609	C₄⋊C₄	—	34	1	no	—
1610	C₄⋊C₄	—	34	1	no	—
1611	C₄⋊C₄	—	34	1	no	—
1612	C₄⋊C₄	—	34	1	no	—
1613	C₄⋊C₄	—	34	1	no	—
1614	C₄⋊C₄	—	34	1	no	—
1615	C₄⋊C₄	—	34	1	no	—
1616	C₄⋊C₄	—	34	1	no	—
1617	C₄⋊C₄	—	34	1	no	—
1618	C₄⋊C₄	—	34	1	no	—
1619	C₄⋊C₄	—	34	1	no	—
1620	C₄⋊C₄	—	34	1	no	—
1621	C₄⋊C₄	—	34	1	no	—
1622	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1623	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1624	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1625	C₄⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1626	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1627	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	34	1	no	—
1644	C₂²⋊C₄	—	34	1	no	—
1645	C₂²⋊C₄	—	34	1	no	—
1646	C₂²⋊C₄	—	34	1	no	—
1647	C₂²⋊C₄	—	34	1	no	—
1648	C₂²⋊C₄	—	34	1	no	—
1649	C₂²⋊C₄	—	34	1	no	—
1650	C₂²⋊C₄	—	34	1	no	—
1651	C₂²⋊C₄	—	34	1	no	—
1652	C₂²⋊C₄	—	34	1	no	—
1653	C₂²⋊C₄	—	34	1	no	—
1654	C₂²⋊C₄	—	34	1	no	—
1655	C₂²⋊C₄	—	34	1	no	—
1656	C₂²⋊C₄	—	34	1	no	—
1657	C₂²⋊C₄	—	34	1	no	—
1658	C₂²⋊C₄	—	34	1	no	—
1659	C₂²⋊C₄	—	34	1	no	—
1660	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1662	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1663	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1664	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1665	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1666	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1667	C₂²⋊C₄	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1668	C₄²	—	2	1	no	—
1669	C₄²	—	2	1	no	—
1670	C₄²	—	2	1	no	—
1671	C₄²	—	34	1	no	—
1672	C₄²	—	34	1	no	—
1673	C₄²	—	34	1	no	—
1674	C₄²	—	34	1	no	—
1675	C₄²	—	34	1	no	—
1676	C₄²	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1677	C₄²	C₂×C₂²⋊D₁₇	1	1	yes	characteristic
1678	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1679	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	1	no	—
1687	C₂³	—	4	1	no	—
1688	C₂³	—	4	1	no	—
1689	C₂³	—	4	2	no	—
1690	C₂³	—	4	2	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	8	1	no	—
1694	C₂³	—	8	1	no	—
1695	C₂³	—	34	1	no	—
1696	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1697	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1698	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1699	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1700	C₂³	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	4	2	no	—
1707	Q₈	—	4	2	no	—
1708	Q₈	—	34	1	no	—
1709	Q₈	—	34	1	no	—
1710	Q₈	—	34	1	no	—
1711	Q₈	—	34	1	no	—
1712	Q₈	—	34	1	no	—
1713	Q₈	—	34	1	no	—
1714	Q₈	—	68	2	no	—
1715	Q₈	—	136	1	no	—
1716	Q₈	—	136	1	no	—
1717	Q₈	#10587691	1	2	yes	—
1718	D₄	—	2	4	no	—
1719	D₄	—	2	2	no	—
1720	D₄	—	2	2	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	4	1	no	—
1727	D₄	—	4	1	no	—
1728	D₄	—	4	2	no	—
1729	D₄	—	4	2	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	2	no	—
1732	D₄	—	4	2	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	4	2	no	—
1739	D₄	—	8	1	no	—
1740	D₄	—	8	1	no	—
1741	D₄	—	8	1	no	—
1742	D₄	—	34	1	no	—
1743	D₄	—	34	1	no	—
1744	D₄	—	68	2	no	—
1745	D₄	—	68	2	no	—
1746	D₄	—	68	2	no	—
1747	D₄	—	136	1	no	—
1748	D₄	—	136	1	no	—
1749	D₄	#10587691	1	2	yes	—
1750	C₂×C₄	—	2	4	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	4	1	no	—
1767	C₂×C₄	—	4	1	no	—
1768	C₂×C₄	—	4	1	no	—
1769	C₂×C₄	—	4	1	no	—
1770	C₂×C₄	—	4	1	no	—
1771	C₂×C₄	—	4	1	no	—
1772	C₂×C₄	—	4	1	no	—
1773	C₂×C₄	—	4	1	no	—
1774	C₂×C₄	—	4	2	no	—
1775	C₂×C₄	—	4	2	no	—
1776	C₂×C₄	—	4	2	no	—
1777	C₂×C₄	—	4	2	no	—
1778	C₂×C₄	—	4	2	no	—
1779	C₂×C₄	—	4	2	no	—
1780	C₂×C₄	—	4	2	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	8	1	no	—
1784	C₂×C₄	—	34	1	no	—
1785	C₂×C₄	—	34	1	no	—
1786	C₂×C₄	—	34	1	no	—
1787	C₂×C₄	—	34	1	no	—
1788	C₂×C₄	—	34	1	no	—
1789	C₂×C₄	—	34	1	no	—
1790	C₂×C₄	—	34	1	no	—
1791	C₂×C₄	—	68	2	no	—
1792	C₂×C₄	—	68	2	no	—
1793	C₂×C₄	—	68	2	no	—
1794	C₂×C₄	—	136	1	no	—
1795	C₂×C₄	—	136	1	no	—
1796	C₂×C₄	—	136	1	no	—
1797	C₂×C₄	—	136	1	no	—
1798	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1799	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1800	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1801	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1802	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1803	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1804	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1805	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1806	C₂×C₄	C₂²×C₂²⋊D₁₇	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1808	C₈	—	34	1	no	—
1809	C₈	—	34	1	no	—
1810	C₈	—	34	1	no	—
1811	C₈	—	34	1	no	—
1812	C₈	—	34	1	no	—
1813	C₈	—	34	1	no	—
1814	C₈	—	34	1	no	—
1815	C₈	—	34	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	2	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	8	2	no	—
1840	C₂²	—	8	4	no	—
1841	C₂²	—	8	2	no	—
1842	C₂²	—	8	4	no	—
1843	C₂²	—	68	1	no	—
1844	C₂²	—	68	1	no	—
1845	C₂²	—	68	1	no	—
1846	C₂²	#11763607	1	2	yes	—
1847	C₂²	C₂³×C₂²⋊D₁₇	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	2	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	68	1	no	—
1863	C₄	—	68	1	no	—
1864	C₄	—	68	1	no	—
1865	C₄	—	68	1	no	—
1866	C₄	—	68	1	no	—
1867	C₄	—	68	1	no	—
1868	C₄	—	68	1	no	—
1869	C₄	C₂×#10587691	1	1	yes	characteristic
1870	C₄	C₂×#10587691	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	4	2	no	—
1877	C₂	—	8	1	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	136	1	no	—
1880	C₂	#14542419	1	1	yes	characteristic
1881	C₂	C₂×#11763607	1	1	yes	characteristic
1882	C₂	#14543570	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	D₄×#41×C₁₇	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	D₄×#41	D₁₇
hypocenter	C₁₇	#61580
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. #14542833	C₂	semidirect
2. #14540910	C₂	semidirect
3. #14540880	C₂	semidirect
4. #14540850	C₂	semidirect
5. #14540835	C₂	semidirect
6. #14540820	C₂	semidirect
7. #14540805	C₂	semidirect
8. #14540775	C₂	semidirect
9. #14540745	C₂	semidirect
10. #14540365	C₂	semidirect
11. #14540355	C₂	semidirect
12. #14540350	C₂	semidirect
13. #14540340	C₂	semidirect
14. #14540335	C₂	semidirect
15. #14540305	C₂	semidirect
16. #14540290	C₂	semidirect
17. #14540275	C₂	semidirect
18. #14539821	C₂	semidirect
19. #14539795	C₂	semidirect
20. #14539621	C₂	semidirect
21. #14539610	C₂	semidirect
22. #14539572	C₂	semidirect
23. #14539561	C₂	semidirect
24. #14538946	C₂	semidirect
25. #14538893	C₂	semidirect
26. #14538044	C₂	semidirect
27. #14538026	C₂	semidirect
28. #14538002	C₂	semidirect
29. C₂×#11762971	C₂	semidirect
30. #14537813	C₂	semidirect
31. D₄×#41×C₁₇	C₂	semidirect
32. C₂×#10587628	C₂²	semidirect
33. C₂×#10587637	C₂²	semidirect
34. C₂×#10587637	C₂²	semidirect
35. C₂×#10587618	C₂²	semidirect
36. C₂×#10587636	C₂²	semidirect
37. C₂×#10587636	C₂²	semidirect
38. C₂²×#63231	C₂²	semidirect
39. C₂²×#63229	C₂²	semidirect
40. #11763529	C₂²	semidirect
43. #11763499	C₂²	semidirect
46. D₄×Dic₃₄	C₂²	semidirect
48. #11763468	C₂²	semidirect
49. #11763464	C₂²	semidirect
50. #11763463	C₂²	semidirect
55. #11763366	C₂²	semidirect
56. #11763343	C₂²	semidirect
57. #11763320	C₂²	semidirect
58. #11763320	C₂²	semidirect
59. C₂×#10587610	C₂²	semidirect
60. C₂×#10587610	C₂²	semidirect
62. #11763204	C₂²	semidirect
63. #11763204	C₂²	semidirect
64. #11763201	C₂²	semidirect
65. #11763196	C₂²	semidirect
66. #11763177	C₂²	semidirect
67. #11763173	C₂²	semidirect
68. #11763168	C₂²	semidirect
69. #11763168	C₂²	semidirect
70. #11763150	C₂²	semidirect
71. #11763150	C₂²	semidirect
72. #11763150	C₂²	semidirect
73. #11763147	C₂²	semidirect
74. #11763147	C₂²	semidirect
75. #11763142	C₂²	semidirect
76. #11763137	C₂²	semidirect
77. #11763133	C₂²	semidirect
78. #11763130	C₂²	semidirect
79. #11763130	C₂²	semidirect
80. #11763125	C₂²	semidirect
81. #11763120	C₂²	semidirect
82. #11763116	C₂²	semidirect
83. #11763109	C₂²	semidirect
84. #11763104	C₂²	semidirect
85. #11763099	C₂²	semidirect
86. #11763065	C₂²	semidirect
87. #11763065	C₂²	semidirect
88. #11763065	C₂²	semidirect
89. #11763060	C₂²	semidirect
90. #11763057	C₂²	semidirect
91. #11763053	C₂²	semidirect
92. #11763053	C₂²	semidirect
93. #11763053	C₂²	semidirect
94. #11763048	C₂²	semidirect
95. #11763048	C₂²	semidirect
96. #11763048	C₂²	semidirect
97. #11763043	C₂²	semidirect
98. #11763040	C₂²	semidirect
99. #11763036	C₂²	semidirect
100. #11763036	C₂²	semidirect
101. #11763036	C₂²	semidirect
102. #11763031	C₂²	semidirect
103. #11763028	C₂²	semidirect
104. #11763028	C₂²	semidirect
105. #11763024	C₂²	semidirect
106. #11763021	C₂²	semidirect
107. #11763021	C₂²	semidirect
108. #11763019	C₂²	semidirect
109. #11763016	C₂²	semidirect
110. #11763016	C₂²	semidirect
111. #11763014	C₂²	semidirect
112. #11763006	C₂²	semidirect
113. #11763006	C₂²	semidirect
117. #11762971	C₂²	semidirect
118. #11762971	C₂²	semidirect
119. #11762971	C₂²	semidirect
120. #11762971	C₂²	semidirect
121. #11762971	C₂²	semidirect
122. #11762971	C₂²	semidirect
123. #11762971	C₂²	semidirect
124. #11762971	C₂²	semidirect
125. #11762971	C₂²	semidirect
126. #11762971	C₂²	semidirect
127. #11762971	C₂²	semidirect
128. #11762971	C₂²	semidirect
129. #11762969	C₂²	semidirect
130. #11762969	C₂²	semidirect
131. #11762965	C₂²	semidirect
132. #11762965	C₂²	semidirect
133. #11762965	C₂²	semidirect
134. #11762964	C₂²	semidirect
135. #11762964	C₂²	semidirect
136. #11762960	C₂²	semidirect
137. #11762960	C₂²	semidirect
138. #11762960	C₂²	semidirect
140. #11762954	C₂²	semidirect
141. #11762954	C₂²	semidirect
142. #11762954	C₂²	semidirect
143. #11762954	C₂²	semidirect
144. #11762952	C₂²	semidirect
145. #11762952	C₂²	semidirect
146. #11762948	C₂²	semidirect
147. #11762947	C₂²	semidirect
148. #11762947	C₂²	semidirect
149. #11762943	C₂²	semidirect
150. #11762919	C₂²	semidirect
151. #11762914	C₂²	semidirect
152. #11762914	C₂²	semidirect
153. #11762914	C₂²	semidirect
154. #11762909	C₂²	semidirect
155. #11762909	C₂²	semidirect
156. #11762909	C₂²	semidirect
157. #11762907	C₂²	semidirect
160. #11762881	C₂²	semidirect
161. #11762881	C₂²	semidirect
162. #11762881	C₂²	semidirect
163. #11762881	C₂²	semidirect
164. #11762881	C₂²	semidirect
165. #11762881	C₂²	semidirect
166. #11762866	C₂²	semidirect
167. #11762866	C₂²	semidirect
168. #11762818	C₂²	semidirect
169. #11762814	C₂²	semidirect
170. #11762810	C₂²	semidirect
171. #11762810	C₂²	semidirect
172. #11762805	C₂²	semidirect
173. #11762805	C₂²	semidirect
174. C₂×#10587506	C₂²	semidirect
175. C₂×#10587503	C₂²	semidirect
176. #11762773	C₂²	semidirect
177. #11762773	C₂²	semidirect
178. C₂×C₂²⋊#3622	C₂²	semidirect
179. C₂×C₂²⋊#3622	C₂²	semidirect
876. D₄×#41	D₁₇	semidirect
1431. C₁₇	#61580	semidirect

Maximal subgroups

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

subgroup	index
#14542833	2
#14540910	2
#14540880	2
#14540850	2
#14540835	2
#14540820	2
#14540805	2
#14540775	2
#14540745	2
#14540365	2
#14540355	2
#14540350	2
#14540340	2
#14540335	2
#14540305	2
#14540290	2
#14540275	2
#14539821	2
#14539795	2
#14539621	2
#14539610	2
#14539572	2
#14539561	2
#14538946	2
#14538893	2
#14538044	2
#14538026	2
#14538002	2
C₂×#11762971	2
#14537813	2
D₄×#41×C₁₇	2
#61580	17