Subgroups — #17903060

Order 4352.

2274 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542511	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#14539023	C₂	1	1	yes	maximal, characteristic, complemented
4	#14539022	C₂	1	1	yes	maximal, characteristic, complemented
5	#14539021	C₂	1	1	yes	maximal, characteristic, complemented
6	#14538970	C₂	1	1	yes	maximal, characteristic, complemented
7	#14538968	C₂	1	1	yes	maximal, characteristic, complemented
8	#14538963	C₂	1	1	yes	maximal, characteristic, complemented
9	#14538961	C₂	1	1	yes	maximal, characteristic, complemented
10	#14538927	C₂	1	1	yes	maximal, characteristic, complemented
11	#14538920	C₂	1	1	yes	maximal, characteristic, complemented
12	#14538874	C₂	1	1	yes	maximal, characteristic, complemented
13	#14538873	C₂	1	1	yes	maximal, characteristic, complemented
14	#14538836	C₂	1	1	yes	maximal, characteristic, complemented
15	#14538829	C₂	1	1	yes	maximal, characteristic, complemented
16	#14538783	C₂	1	1	yes	maximal, characteristic, complemented
17	#14538782	C₂	1	1	yes	maximal, characteristic, complemented
18	#14538723	C₂	1	1	yes	maximal, characteristic, complemented
19	#14538696	C₂	1	1	yes	maximal, characteristic, complemented
20	#14538614	C₂	1	1	yes	maximal, characteristic, complemented
21	#14538612	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538282	C₂	1	1	yes	maximal, characteristic, complemented
23	#14538282	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538008	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₇×#447	C₂	1	1	yes	maximal, characteristic, complemented
26	#14537633	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537631	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537613	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537609	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537440	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3122	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
33	C₂×#10587597	C₂²	1	1	yes	characteristic
34	C₂×#10587597	C₂²	1	1	yes	characteristic
35	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic
36	C₂×D₈×D₁₇	C₂²	1	1	yes	characteristic
37	#11763523	—	2	1	no	—
38	#11763504	—	2	1	no	—
39	#11763502	—	2	1	no	—
40	#11763487	—	2	1	no	—
41	#11763482	—	2	1	no	—
42	#11763457	—	2	1	no	—
43	#11763456	—	2	1	no	—
44	#11763448	—	2	1	no	—
45	#11763439	C₂²	1	1	yes	characteristic, complemented
46	#11763430	C₂²	1	1	yes	characteristic, complemented
47	#11763426	C₂²	1	1	yes	characteristic, complemented
48	#11763412	C₂²	1	1	yes	characteristic, complemented
49	#11763372	C₂²	1	1	yes	characteristic, complemented
50	#11763357	C₂²	1	1	yes	characteristic, complemented
51	#11763356	C₂²	1	1	yes	characteristic, complemented
52	#11763344	C₂²	1	1	yes	characteristic, complemented
53	#11763341	C₂²	1	1	yes	characteristic, complemented
54	#11763319	C₂²	1	1	yes	characteristic
55	#121×D₁₇	C₂²	1	1	yes	characteristic
56	#11763288	C₂²	1	1	yes	characteristic, complemented
57	#11763284	C₂²	1	1	yes	characteristic, complemented
58	#11763283	C₂²	1	1	yes	characteristic, complemented
59	#11763283	C₂²	1	1	yes	characteristic, complemented
60	#11763282	—	2	1	no	—
61	#11763282	—	2	1	no	—
62	#11763281	—	2	1	no	—
63	#11763281	—	2	1	no	—
64	#11763281	C₂²	1	1	yes	characteristic
65	#11763281	C₂²	1	1	yes	characteristic
66	#11763281	C₂²	1	1	yes	characteristic
67	#11763281	C₂²	1	1	yes	characteristic
68	#11763281	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₁₇	—	2	1	no	—
70	C₄×D₄×D₁₇	—	2	1	no	—
71	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
72	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
74	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic, complemented
75	#117×D₁₇	C₂²	1	1	yes	characteristic
76	#117×D₁₇	C₂²	1	1	yes	characteristic
77	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
78	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
79	#11763151	C₂²	1	1	yes	characteristic, complemented
80	#11763150	C₂²	1	1	yes	characteristic, complemented
81	#11763146	C₂²	1	1	yes	characteristic, complemented
82	#11763141	C₂²	1	1	yes	characteristic, complemented
83	#11763134	C₂²	1	1	yes	characteristic, complemented
84	#11763133	C₂²	1	1	yes	characteristic, complemented
85	#11763130	C₂²	1	1	yes	characteristic, complemented
86	#11763130	C₂²	1	1	yes	characteristic, complemented
87	#11763129	C₂²	1	1	yes	characteristic, complemented
88	#11763126	C₂²	1	1	yes	characteristic, complemented
89	#11763126	C₂²	1	1	yes	characteristic, complemented
90	#11763124	C₂²	1	1	yes	characteristic, complemented
91	#11763121	C₂²	1	1	yes	characteristic, complemented
92	#11763121	C₂²	1	1	yes	characteristic, complemented
93	#11763112	C₂²	1	1	yes	characteristic, complemented
94	#11763111	C₂²	1	1	yes	characteristic, complemented
95	#11763108	C₂²	1	1	yes	characteristic, complemented
96	#11763107	C₂²	1	1	yes	characteristic, complemented
97	#11763106	C₂²	1	1	yes	characteristic, complemented
98	#11763106	C₂²	1	1	yes	characteristic, complemented
99	#11763100	C₂²	1	1	yes	characteristic, complemented
100	#11763099	C₂²	1	1	yes	characteristic, complemented
101	#11763098	C₂²	1	1	yes	characteristic, complemented
102	#11763097	C₂²	1	1	yes	characteristic, complemented
103	#11763090	C₂²	1	1	yes	characteristic, complemented
104	#11763089	C₂²	1	1	yes	characteristic, complemented
105	#11763088	C₂²	1	1	yes	characteristic, complemented
106	#11763087	C₂²	1	1	yes	characteristic, complemented
107	#11763025	C₂²	1	1	yes	characteristic, complemented
108	#11763025	C₂²	1	1	yes	characteristic, complemented
109	#11763024	C₂²	1	1	yes	characteristic, complemented
110	#11763024	C₂²	1	1	yes	characteristic, complemented
111	#11763023	C₂²	1	1	yes	characteristic, complemented
112	#11763023	C₂²	1	1	yes	characteristic, complemented
113	#11763022	C₂²	1	1	yes	characteristic, complemented
114	#11763022	C₂²	1	1	yes	characteristic, complemented
115	#11763003	C₂²	1	1	yes	characteristic, complemented
116	#11763003	C₂²	1	1	yes	characteristic, complemented
117	#11763002	C₂²	1	1	yes	characteristic, complemented
118	#11763002	C₂²	1	1	yes	characteristic, complemented
119	#11763001	C₂²	1	1	yes	characteristic, complemented
120	#11763001	C₂²	1	1	yes	characteristic, complemented
121	#11762962	C₂²	1	1	yes	characteristic, complemented
122	#11762961	C₂²	1	1	yes	characteristic, complemented
123	#11762961	C₂²	1	1	yes	characteristic, complemented
124	#11762960	C₂²	1	1	yes	characteristic, complemented
125	#11762945	C₂²	1	1	yes	characteristic
126	#11762944	C₂²	1	1	yes	characteristic
127	#11762944	C₂²	1	1	yes	characteristic
128	#11762943	C₂²	1	1	yes	characteristic
129	#11762942	C₂²	1	1	yes	characteristic
130	#11762942	C₂²	1	1	yes	characteristic, complemented
131	#11762941	C₂²	1	1	yes	characteristic
132	#11762941	C₂²	1	1	yes	characteristic
133	#11762941	C₂²	1	1	yes	characteristic, complemented
134	#11762941	C₂²	1	1	yes	characteristic, complemented
135	#11762922	C₂²	1	1	yes	characteristic, complemented
136	#11762921	C₂²	1	1	yes	characteristic, complemented
137	#11762921	C₂²	1	1	yes	characteristic, complemented
138	#11762920	C₂²	1	1	yes	characteristic, complemented
139	#11762919	C₂²	1	1	yes	characteristic, complemented
140	#11762919	C₂²	1	1	yes	characteristic, complemented
141	#11762919	C₂²	1	1	yes	characteristic, complemented
142	#11762918	C₂²	1	1	yes	characteristic, complemented
143	#11762918	C₂²	1	1	yes	characteristic, complemented
144	#11762918	C₂²	1	1	yes	characteristic, complemented
145	#11762911	C₂²	1	1	yes	characteristic, complemented
146	#11762909	C₂²	1	1	yes	characteristic, complemented
147	#11762908	C₂²	1	1	yes	characteristic, complemented
148	#11762906	C₂²	1	1	yes	characteristic, complemented
149	#11762900	C₂²	1	1	yes	characteristic, complemented
150	C₄×#63219	C₂²	1	1	yes	characteristic, complemented
151	#11762896	C₂²	1	1	yes	characteristic, complemented
152	C₄×#63229	C₂²	1	1	yes	characteristic, complemented
153	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
154	D₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
155	D₈×Dic₁₇	C₂²	1	1	yes	characteristic, complemented
156	#11762891	C₂²	1	1	yes	characteristic, complemented
157	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
158	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
159	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
160	#11762889	C₂²	1	1	yes	characteristic, complemented
161	#11762889	C₂²	1	1	yes	characteristic, complemented
162	#11762889	C₂²	1	1	yes	characteristic, complemented
163	#11762870	C₂²	1	1	yes	characteristic, complemented
164	#11762867	C₂²	1	1	yes	characteristic, complemented
165	#11762867	C₂²	1	1	yes	characteristic, complemented
166	#11762865	C₂²	1	1	yes	characteristic, complemented
167	#11762864	C₂²	1	1	yes	characteristic, complemented
168	#11762861	C₂²	1	1	yes	characteristic, complemented
169	#11762860	C₂²	1	1	yes	characteristic, complemented
170	#11762850	C₂²	1	1	yes	characteristic, complemented
171	#11762848	C₂²	1	1	yes	characteristic, complemented
172	#11762846	C₂²	1	1	yes	characteristic, complemented
173	#11762844	C₂²	1	1	yes	characteristic, complemented
174	#11762834	C₂²	1	1	yes	characteristic, complemented
175	#11762834	C₂²	1	1	yes	characteristic, complemented
176	#11762812	C₂²	1	1	yes	characteristic
177	#11762812	C₂²	1	1	yes	characteristic
178	#11762812	C₂²	1	1	yes	characteristic, complemented
179	#11762812	C₂²	1	1	yes	characteristic, complemented
180	#11762802	C₂²	1	1	yes	characteristic, complemented
181	#11762802	C₂²	1	1	yes	characteristic, complemented
182	#102×D₁₇	C₂²	1	1	yes	characteristic
183	#102×D₁₇	C₂²	1	1	yes	characteristic
184	#11762771	C₂²	1	1	yes	characteristic
185	C₂²⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
186	#11762766	C₂²	1	1	yes	characteristic, complemented
187	#11762763	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#540	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#518	C₂²	1	1	yes	characteristic, complemented
190	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#459	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#447	C₂²	1	1	yes	characteristic
197	C₁₇×#447	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#442	C₂²	1	1	yes	characteristic, complemented
199	C₁₇×#442	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
201	C₄×D₈×C₁₇	C₂²	1	1	yes	characteristic, complemented
202	C₁₇×#433	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₇	—	2	1	no	—
206	C₂×#63254	—	2	1	no	—
207	C₂×#63254	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₇	—	2	4	no	—
209	C₂×D₄×D₁₇	—	2	4	no	—
210	C₂×D₄×D₁₇	—	2	1	no	—
211	C₂×D₄×D₁₇	—	2	1	no	—
212	C₂×D₄×D₁₇	—	2	1	no	—
213	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
218	C₂×#63252	—	2	1	no	—
219	C₂²×D₆₈	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₇	—	2	1	no	—
221	C₂²×C₄×D₁₇	—	2	1	no	—
222	C₂²×C₄×D₁₇	—	2	1	no	—
223	C₂²×C₄×D₁₇	—	2	1	no	—
224	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
227	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
228	C₂×D₈×C₁₇	C₂³	1	1	yes	characteristic
229	C₁₇×#127	C₂³	1	1	yes	characteristic, complemented
230	C₁₇×#125	C₂³	1	1	yes	characteristic, complemented
231	C₁₇×#123	—	2	1	no	—
232	C₁₇×#123	—	2	1	no	—
233	C₁₇×#121	—	2	1	no	—
234	C₁₇×#121	—	2	1	no	—
235	C₁₇×#121	C₂³	1	1	yes	characteristic
236	C₁₇×#121	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₇	—	2	1	no	—
238	C₄×D₄×C₁₇	—	2	1	no	—
239	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
244	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic, complemented
245	C₁₇×#117	C₂³	1	1	yes	characteristic
246	C₁₇×#117	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
248	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
249	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
250	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
251	#10587626	C₂³	1	1	yes	characteristic, complemented
252	#10587625	—	2	1	no	—
253	#10587625	—	2	1	no	—
254	#10587625	—	2	1	no	—
255	#10587625	—	2	1	no	—
256	#10587624	—	2	1	no	—
257	#10587624	—	2	1	no	—
258	#10587624	C₂³	1	1	yes	characteristic
259	#10587624	C₂³	1	1	yes	characteristic
260	#10587623	—	2	1	no	—
261	#10587623	—	2	1	no	—
262	#10587623	—	2	1	no	—
263	#10587622	—	2	1	no	—
264	#10587622	—	2	1	no	—
265	#10587622	C₂³	1	1	yes	characteristic, complemented
266	#10587621	—	2	1	no	—
267	D₄×Dic₁₇	—	2	1	no	—
268	D₄×Dic₁₇	—	2	1	no	—
269	D₄×Dic₁₇	—	2	1	no	—
270	D₄×Dic₁₇	—	2	1	no	—
271	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
272	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
273	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
274	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
275	D₄×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
276	D₄×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
277	C₂×#63229	C₂³	1	1	yes	characteristic
278	C₂×#63229	C₂³	1	1	yes	characteristic
279	C₂×#63228	C₂³	1	1	yes	characteristic
280	C₂×#63228	C₂³	1	1	yes	characteristic
281	C₂×#63228	C₂³	1	1	yes	characteristic
282	C₂×#63228	C₂³	1	1	yes	characteristic
283	C₂×#63228	C₂³	1	1	yes	characteristic
284	C₂×#63228	C₂³	1	1	yes	characteristic
285	#10587616	C₂³	1	1	yes	characteristic
286	C₄×C₂²⋊D₁₇	—	2	1	no	—
287	C₄×C₂²⋊D₁₇	—	2	1	no	—
288	C₄×C₂²⋊D₁₇	—	2	1	no	—
289	C₄×C₂²⋊D₁₇	—	2	1	no	—
290	C₄×C₂²⋊D₁₇	—	2	1	no	—
291	C₄×C₂²⋊D₁₇	—	2	1	no	—
292	C₄×C₂²⋊D₁₇	—	2	1	no	—
293	C₄×C₂²⋊D₁₇	—	2	1	no	—
294	C₄×C₂²⋊D₁₇	—	2	1	no	—
295	C₄×C₂²⋊D₁₇	—	2	1	no	—
296	C₄×C₂²⋊D₁₇	—	2	1	no	—
297	C₄×C₂²⋊D₁₇	—	2	1	no	—
298	C₂×#63227	—	2	1	no	—
299	C₂×#63227	—	2	1	no	—
300	C₂×#63227	—	2	1	no	—
301	C₂×#63227	—	2	1	no	—
302	C₂×#63227	—	2	1	no	—
303	#10587612	—	2	1	no	—
304	#10587612	C₂³	1	1	yes	characteristic
305	#10587612	C₂³	1	1	yes	characteristic
306	#10587610	C₂³	1	1	yes	characteristic
307	C₂×#63225	—	2	1	no	—
308	#10587597	—	2	4	no	—
309	#10587597	—	2	4	no	—
310	D₈×D₁₇	—	2	4	no	—
311	D₈×D₁₇	—	2	4	no	—
312	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
313	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
314	C₂×#63219	C₂³	1	1	yes	characteristic
315	C₂×#63219	C₂³	1	1	yes	characteristic
316	C₂×#63218	C₂³	1	1	yes	characteristic
317	C₂×#63218	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
320	#10587584	—	2	1	no	—
321	#10587584	—	2	1	no	—
322	#10587583	—	2	1	no	—
323	#10587583	C₂³	1	1	yes	characteristic
324	#10587582	—	2	1	no	—
325	#10587582	—	2	1	no	—
326	#10587581	C₂³	1	1	yes	characteristic
327	#10587580	—	2	1	no	—
328	#10587579	—	2	1	no	—
329	#10587579	—	2	1	no	—
330	#10587579	—	2	1	no	—
331	#10587579	C₂³	1	1	yes	characteristic
332	#10587579	C₂³	1	1	yes	characteristic
333	#10587579	C₂³	1	1	yes	characteristic
334	#10587579	C₂³	1	1	yes	characteristic
335	#10587579	C₂³	1	1	yes	characteristic, complemented
336	#10587578	—	2	1	no	—
337	#10587578	D₄	1	1	yes	characteristic
338	#10587578	D₄	1	1	yes	characteristic
339	#10587578	C₂³	1	1	yes	characteristic
340	#10587578	C₂³	1	1	yes	characteristic
341	#10587578	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
343	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
344	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
347	#10587576	C₂³	1	1	yes	characteristic, complemented
348	#10587575	—	2	1	no	—
349	#10587574	—	2	1	no	—
350	#10587574	C₂³	1	1	yes	characteristic, complemented
351	#10587573	C₂³	1	1	yes	characteristic, complemented
352	#10587572	—	2	1	no	—
353	#10587571	—	2	1	no	—
354	#10587571	—	2	1	no	—
355	#10587570	—	2	1	no	—
356	#10587570	—	2	1	no	—
357	#10587569	—	2	1	no	—
358	#10587569	—	2	1	no	—
359	#10587569	—	2	1	no	—
360	#10587569	—	2	1	no	—
361	#10587567	—	2	1	no	—
362	#10587567	—	2	1	no	—
363	#10587567	—	2	1	no	—
364	#10587567	—	2	1	no	—
365	#10587567	—	2	1	no	—
366	#10587567	—	2	1	no	—
367	#10587567	—	2	1	no	—
368	#10587567	—	2	1	no	—
369	#10587567	—	2	1	no	—
370	#10587567	—	2	1	no	—
371	#10587567	—	2	1	no	—
372	C₂²⋊C₄×D₁₇	—	2	1	no	—
373	C₂²⋊C₄×D₁₇	—	2	1	no	—
374	C₂²⋊C₄×D₁₇	—	2	1	no	—
375	C₂²⋊C₄×D₁₇	—	2	1	no	—
376	C₂²⋊C₄×D₁₇	—	2	1	no	—
377	C₂²⋊C₄×D₁₇	—	2	1	no	—
378	C₂²⋊C₄×D₁₇	—	2	1	no	—
379	C₂²⋊C₄×D₁₇	—	2	1	no	—
380	C₂²⋊C₄×D₁₇	—	2	1	no	—
381	C₂²⋊C₄×D₁₇	—	2	1	no	—
382	C₂²⋊C₄×D₁₇	—	2	1	no	—
383	C₂²⋊C₄×D₁₇	—	2	1	no	—
384	C₂²⋊C₄×D₁₇	—	2	1	no	—
385	C₂²⋊C₄×D₁₇	—	2	1	no	—
386	C₂²⋊C₄×D₁₇	—	2	1	no	—
387	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
388	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
389	#10587565	—	2	1	no	—
390	#10587565	—	2	1	no	—
391	#10587564	—	2	1	no	—
392	#10587563	—	2	1	no	—
393	#10587563	—	2	1	no	—
394	#10587563	D₄	1	1	yes	characteristic
395	#10587563	D₄	1	1	yes	characteristic
396	#10587561	C₂³	1	1	yes	characteristic, complemented
397	C₄×D₆₈	—	2	1	no	—
398	C₄×D₆₈	—	2	1	no	—
399	C₄×D₆₈	C₂³	1	1	yes	characteristic
400	C₄×D₆₈	C₂³	1	1	yes	characteristic
401	C₄×D₆₈	C₂³	1	1	yes	characteristic
402	C₄×D₆₈	C₂³	1	1	yes	characteristic
403	C₄×D₆₈	C₂³	1	1	yes	characteristic, complemented
404	#10587558	—	2	1	no	—
405	#10587558	C₂³	1	1	yes	characteristic
406	#10587558	C₂³	1	1	yes	characteristic
407	C₄²×D₁₇	—	2	1	no	—
408	C₄²×D₁₇	C₂³	1	1	yes	characteristic
409	C₄²×D₁₇	C₂³	1	1	yes	characteristic
410	#10587555	C₂³	1	1	yes	characteristic, complemented
411	C₄×Dic₃₄	C₂³	1	1	yes	characteristic, complemented
412	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
413	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
414	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
415	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
416	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
417	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
418	C₁₇×#102	C₂³	1	1	yes	characteristic
419	C₁₇×#102	C₂³	1	1	yes	characteristic
420	C₁₇×#102	C₂³	1	1	yes	characteristic
421	C₁₇×#102	C₂³	1	1	yes	characteristic
422	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
423	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
424	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
425	C₁₇×#102	C₂³	1	1	yes	characteristic, complemented
426	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₇×#97	C₂³	1	1	yes	characteristic, complemented
429	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
430	#10587503	C₂³	1	1	yes	characteristic
431	#10587503	C₂³	1	1	yes	characteristic
432	#10587503	C₂³	1	1	yes	characteristic
433	#10587503	C₂³	1	1	yes	characteristic
434	#10587503	C₂³	1	1	yes	characteristic, complemented
435	#10587503	C₂³	1	1	yes	characteristic, complemented
436	#10587503	C₂³	1	1	yes	characteristic, complemented
437	#10587503	C₂³	1	1	yes	characteristic, complemented
438	C₂²⋊#3622	C₂³	1	1	yes	characteristic
439	C₂²⋊#3622	C₂³	1	1	yes	characteristic
440	#10587492	C₂³	1	1	yes	characteristic
441	#10587492	C₂³	1	1	yes	characteristic
442	#10587492	C₂³	1	1	yes	characteristic
443	#10587492	C₂³	1	1	yes	characteristic
444	#10587492	C₂³	1	1	yes	characteristic, complemented
445	#10587492	C₂³	1	1	yes	characteristic, complemented
446	#10587491	C₂³	1	1	yes	characteristic
447	#10587491	C₂³	1	1	yes	characteristic
448	#10587491	C₂³	1	1	yes	characteristic
449	#10587491	C₂³	1	1	yes	characteristic
450	#10587489	C₂³	1	1	yes	characteristic, complemented
451	#10587489	C₂³	1	1	yes	characteristic, complemented
452	#10587488	C₂³	1	1	yes	characteristic, complemented
453	#10587488	C₂³	1	1	yes	characteristic, complemented
454	#10587487	C₂³	1	1	yes	characteristic, complemented
455	#10587487	C₂³	1	1	yes	characteristic, complemented
456	#10587486	C₂³	1	1	yes	characteristic, complemented
457	#10587486	C₂³	1	1	yes	characteristic, complemented
458	#10587485	C₂³	1	1	yes	characteristic, complemented
459	#10587485	C₂³	1	1	yes	characteristic, complemented
460	#10587485	C₂³	1	1	yes	characteristic, complemented
461	#10587485	C₂³	1	1	yes	characteristic, complemented
462	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
463	C₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
464	#10587481	C₂³	1	1	yes	characteristic, complemented
465	#10587481	C₂³	1	1	yes	characteristic, complemented
466	#10587480	C₂³	1	1	yes	characteristic
467	#10587480	C₂³	1	1	yes	characteristic
468	#10587480	C₂³	1	1	yes	characteristic
469	#10587480	C₂³	1	1	yes	characteristic
470	#10587480	C₂³	1	1	yes	characteristic, complemented
471	#10587480	C₂³	1	1	yes	characteristic, complemented
472	#10587479	C₂³	1	1	yes	characteristic, complemented
473	#10587479	C₂³	1	1	yes	characteristic, complemented
474	#10587479	C₂³	1	1	yes	characteristic, complemented
475	#10587479	C₂³	1	1	yes	characteristic, complemented
476	#10587478	C₂³	1	1	yes	characteristic, complemented
477	#10587478	C₂³	1	1	yes	characteristic, complemented
478	#10587478	C₂³	1	1	yes	characteristic, complemented
479	#10587478	C₂³	1	1	yes	characteristic, complemented
480	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
481	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
482	#10587474	C₂³	1	1	yes	characteristic, complemented
483	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
484	C₂⁴×C₁₇	—	2	1	no	—
485	C₂³×D₁₇	—	2	8	no	—
486	C₂³×D₁₇	—	2	1	no	—
487	C₂³×D₁₇	—	2	1	no	—
488	C₂³×D₁₇	—	2	1	no	—
489	C₂³×D₁₇	—	2	1	no	—
490	C₂³×D₁₇	—	2	1	no	—
491	C₂³×D₁₇	—	2	1	no	—
492	C₂³×D₁₇	—	8	2	no	—
493	C₂³×D₁₇	—	8	2	no	—
494	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
495	C₂×D₄×C₁₇	—	2	2	no	—
496	C₂×D₄×C₁₇	—	2	2	no	—
497	C₂×D₄×C₁₇	—	2	1	no	—
498	C₂×D₄×C₁₇	—	2	1	no	—
499	C₂×D₄×C₁₇	—	2	1	no	—
500	C₂×D₄×C₁₇	—	2	1	no	—
501	C₂×D₄×C₁₇	—	2	1	no	—
502	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₇	—	2	1	no	—
507	C₂²×C₄×C₁₇	—	2	1	no	—
508	C₂²×C₄×C₁₇	—	2	1	no	—
509	C₂²×C₄×C₁₇	—	2	1	no	—
510	C₂²×C₄×C₁₇	—	2	1	no	—
511	C₂²×C₄×C₁₇	—	2	1	no	—
512	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₇	—	2	8	no	—
514	C₂×C₂²⋊D₁₇	—	2	1	no	—
515	C₂×C₂²⋊D₁₇	—	2	1	no	—
516	C₂×C₂²⋊D₁₇	—	2	1	no	—
517	C₂×C₂²⋊D₁₇	—	2	1	no	—
518	C₂×C₂²⋊D₁₇	—	2	1	no	—
519	C₂×C₂²⋊D₁₇	—	2	1	no	—
520	C₂×C₂²⋊D₁₇	—	2	1	no	—
521	C₂×C₂²⋊D₁₇	—	2	1	no	—
522	C₂×C₂²⋊D₁₇	—	2	1	no	—
523	C₂×C₂²⋊D₁₇	—	2	1	no	—
524	C₂×C₂²⋊D₁₇	—	2	1	no	—
525	C₂²×Dic₁₇	—	2	1	no	—
526	C₂²×Dic₁₇	—	2	1	no	—
527	C₂²×Dic₁₇	—	2	1	no	—
528	C₂²×Dic₁₇	—	2	1	no	—
529	C₂²×Dic₁₇	—	2	1	no	—
530	C₂²×Dic₁₇	—	2	1	no	—
531	C₂²×Dic₁₇	—	2	1	no	—
532	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
533	#63254	—	2	2	no	—
534	#63254	—	2	2	no	—
535	#63254	—	8	2	no	—
536	D₄×D₁₇	—	2	8	no	—
537	D₄×D₁₇	—	2	8	no	—
538	D₄×D₁₇	—	2	2	no	—
539	D₄×D₁₇	—	2	2	no	—
540	D₄×D₁₇	—	2	2	no	—
541	D₄×D₁₇	—	2	2	no	—
542	D₄×D₁₇	—	2	2	no	—
543	D₄×D₁₇	—	2	2	no	—
544	D₄×D₁₇	—	2	2	no	—
545	D₄×D₁₇	—	2	2	no	—
546	D₄×D₁₇	—	8	2	no	—
547	D₄×D₁₇	#41	1	4	yes	complemented
548	D₄×D₁₇	#41	1	4	yes	complemented
549	#63252	—	8	2	no	—
550	C₂×D₆₈	—	2	1	no	—
551	C₂×D₆₈	—	2	2	no	—
552	C₂×D₆₈	—	2	2	no	—
553	C₂×D₆₈	—	2	1	no	—
554	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
555	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
556	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₁₇	—	2	2	no	—
558	C₂×C₄×D₁₇	—	2	2	no	—
559	C₂×C₄×D₁₇	—	2	1	no	—
560	C₂×C₄×D₁₇	—	2	1	no	—
561	C₂×C₄×D₁₇	—	2	1	no	—
562	C₂×C₄×D₁₇	—	2	1	no	—
563	C₂×C₄×D₁₇	—	2	1	no	—
564	C₂×C₄×D₁₇	—	2	1	no	—
565	C₂×C₄×D₁₇	—	2	1	no	—
566	C₂×C₄×D₁₇	—	2	1	no	—
567	C₂×C₄×D₁₇	—	2	1	no	—
568	C₂×C₄×D₁₇	—	2	1	no	—
569	C₂×C₄×D₁₇	—	2	1	no	—
570	C₂×C₄×D₁₇	—	2	1	no	—
571	C₂×C₄×D₁₇	—	2	1	no	—
572	C₂×C₄×D₁₇	—	8	2	no	—
573	C₂×C₄×D₁₇	—	8	2	no	—
574	C₂×C₄×D₁₇	—	8	2	no	—
575	C₂×C₄×D₁₇	—	8	2	no	—
576	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₃₄	—	2	1	no	—
585	C₂×Dic₃₄	—	2	1	no	—
586	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
587	D₈×C₁₇	—	2	2	no	—
588	D₈×C₁₇	—	2	2	no	—
589	D₈×C₁₇	—	2	2	no	—
590	D₈×C₁₇	—	2	2	no	—
591	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
594	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
595	C₄⋊C₄×C₁₇	—	2	1	no	—
596	C₄⋊C₄×C₁₇	—	2	1	no	—
597	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
600	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
601	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
603	C₂²⋊C₄×C₁₇	—	2	1	no	—
604	C₂²⋊C₄×C₁₇	—	2	1	no	—
605	C₂²⋊C₄×C₁₇	—	2	1	no	—
606	C₂²⋊C₄×C₁₇	—	2	1	no	—
607	C₂²⋊C₄×C₁₇	—	2	1	no	—
608	C₂²⋊C₄×C₁₇	—	2	1	no	—
609	C₂²⋊C₄×C₁₇	—	2	1	no	—
610	C₂²⋊C₄×C₁₇	—	2	1	no	—
611	C₂²⋊C₄×C₁₇	—	2	1	no	—
612	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
614	C₄²×C₁₇	—	2	1	no	—
615	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
616	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
617	C₂²⋊Dic₁₇	—	2	1	no	—
618	C₂²⋊Dic₁₇	—	2	1	no	—
619	C₂²⋊Dic₁₇	—	2	1	no	—
620	C₂²⋊Dic₁₇	—	2	1	no	—
621	C₂²⋊Dic₁₇	—	2	1	no	—
622	C₂²⋊Dic₁₇	—	2	1	no	—
623	C₂²⋊Dic₁₇	—	2	1	no	—
624	C₂²⋊Dic₁₇	—	2	1	no	—
625	C₂²⋊Dic₁₇	—	2	1	no	—
626	C₂²⋊Dic₁₇	—	2	1	no	—
627	C₂²⋊Dic₁₇	—	2	1	no	—
628	C₂²⋊Dic₁₇	—	2	1	no	—
629	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
631	#63229	—	2	2	no	—
632	#63229	—	2	2	no	—
633	#63228	—	2	2	no	—
634	#63228	—	2	2	no	—
635	#63228	—	2	2	no	—
636	#63228	—	2	2	no	—
637	#63228	—	2	2	no	—
638	#63228	—	2	2	no	—
639	#63227	—	2	1	no	—
640	#63227	—	2	1	no	—
641	#63227	—	2	1	no	—
642	#63227	—	2	1	no	—
643	#63227	—	2	1	no	—
644	#63227	—	2	1	no	—
645	#63227	—	2	1	no	—
646	#63227	—	2	1	no	—
647	#63227	—	2	1	no	—
648	#63227	—	2	1	no	—
649	#63227	—	2	1	no	—
650	#63227	—	2	1	no	—
651	#63227	—	2	1	no	—
652	#63227	—	2	1	no	—
653	#63227	—	2	1	no	—
654	#63227	—	2	1	no	—
655	#63227	—	2	1	no	—
656	#63227	—	2	1	no	—
657	#63227	C₂×D₄	1	1	yes	characteristic
658	#63227	C₂×D₄	1	1	yes	characteristic
659	#63227	C₂×D₄	1	1	yes	characteristic
660	#63227	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₁₇	—	2	1	no	—
662	C₄⋊Dic₁₇	—	2	1	no	—
663	C₄⋊Dic₁₇	—	2	1	no	—
664	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
670	#63225	—	2	1	no	—
671	#63225	—	2	1	no	—
672	#63225	—	2	1	no	—
673	#63225	—	2	1	no	—
674	#63225	—	2	1	no	—
675	#63225	—	2	1	no	—
676	#63225	—	2	1	no	—
677	#63225	—	2	1	no	—
678	#63225	C₂×D₄	1	1	yes	characteristic
679	#63225	C₂×D₄	1	1	yes	characteristic
680	#63225	C₂×D₄	1	1	yes	characteristic
681	#63225	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₇	—	2	1	no	—
683	C₄×Dic₁₇	—	2	1	no	—
684	C₄×Dic₁₇	—	2	1	no	—
685	C₄×Dic₁₇	—	2	1	no	—
686	C₄×Dic₁₇	—	2	1	no	—
687	C₄×Dic₁₇	—	2	1	no	—
688	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
694	C₂×#3622	C₂⁴	1	1	yes	characteristic
695	C₂×#3622	C₂⁴	1	1	yes	characteristic
696	C₂×#3622	C₂⁴	1	1	yes	characteristic
697	C₂×#3622	C₂⁴	1	1	yes	characteristic
698	D₁₃₆	—	2	2	no	—
699	D₁₃₆	—	2	2	no	—
700	#63219	—	2	2	no	—
701	#63219	—	2	2	no	—
702	#63218	—	2	2	no	—
703	#63218	—	2	2	no	—
704	C₈×D₁₇	—	2	2	no	—
705	C₈×D₁₇	—	2	2	no	—
706	#60578	—	17	1	no	maximal, Sylow
707	C₂³×C₁₇	—	2	4	no	—
708	C₂³×C₁₇	—	2	1	no	—
709	C₂³×C₁₇	—	2	1	no	—
710	C₂³×C₁₇	—	2	1	no	—
711	C₂³×C₁₇	—	2	1	no	—
712	C₂³×C₁₇	—	8	1	no	—
713	C₂³×C₁₇	—	8	1	no	—
714	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
715	C₂²×D₁₇	—	2	4	no	—
716	C₂²×D₁₇	—	2	4	no	—
717	C₂²×D₁₇	—	2	1	no	—
718	C₂²×D₁₇	—	2	1	no	—
719	C₂²×D₁₇	—	2	4	no	—
720	C₂²×D₁₇	—	2	2	no	—
721	C₂²×D₁₇	—	2	2	no	—
722	C₂²×D₁₇	—	2	4	no	—
723	C₂²×D₁₇	—	2	4	no	—
724	C₂²×D₁₇	—	2	1	no	—
725	C₂²×D₁₇	—	4	1	no	—
726	C₂²×D₁₇	—	4	2	no	—
727	C₂²×D₁₇	—	4	2	no	—
728	C₂²×D₁₇	—	4	2	no	—
729	C₂²×D₁₇	—	4	2	no	—
730	C₂²×D₁₇	—	4	2	no	—
731	C₂²×D₁₇	—	8	1	no	—
732	C₂²×D₁₇	—	8	1	no	—
733	C₂²×D₁₇	—	8	1	no	—
734	C₂²×D₁₇	—	8	1	no	—
735	C₂²×D₁₇	—	8	1	no	—
736	C₂²×D₁₇	—	8	1	no	—
737	C₂²×D₁₇	—	8	16	no	—
738	C₂²×D₁₇	—	8	1	no	—
739	C₂²×D₁₇	—	8	1	no	—
740	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
741	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
742	D₄×C₁₇	—	2	4	no	—
743	D₄×C₁₇	—	2	1	no	—
744	D₄×C₁₇	—	2	1	no	—
745	D₄×C₁₇	—	2	1	no	—
746	D₄×C₁₇	—	2	1	no	—
747	D₄×C₁₇	—	2	1	no	—
748	D₄×C₁₇	—	2	1	no	—
749	D₄×C₁₇	—	8	1	no	—
750	D₄×C₁₇	—	8	1	no	—
751	D₄×C₁₇	—	8	1	no	—
752	D₄×C₁₇	—	8	1	no	—
753	D₄×C₁₇	C₂×#41	1	2	yes	—
754	D₄×C₁₇	C₂×#41	1	2	yes	—
755	C₂×C₄×C₁₇	—	2	1	no	—
756	C₂×C₄×C₁₇	—	2	1	no	—
757	C₂×C₄×C₁₇	—	2	1	no	—
758	C₂×C₄×C₁₇	—	2	1	no	—
759	C₂×C₄×C₁₇	—	2	1	no	—
760	C₂×C₄×C₁₇	—	2	1	no	—
761	C₂×C₄×C₁₇	—	8	1	no	—
762	C₂×C₄×C₁₇	—	8	1	no	—
763	C₂×C₄×C₁₇	—	8	1	no	—
764	C₂×C₄×C₁₇	—	8	1	no	—
765	C₂×C₄×C₁₇	—	8	1	no	—
766	C₂×C₄×C₁₇	—	8	1	no	—
767	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
773	C₂²⋊D₁₇	—	2	4	no	—
774	C₂²⋊D₁₇	—	2	4	no	—
775	C₂²⋊D₁₇	—	2	4	no	—
776	C₂²⋊D₁₇	—	2	4	no	—
777	C₂²⋊D₁₇	—	4	2	no	—
778	C₂²⋊D₁₇	—	4	2	no	—
779	C₂²⋊D₁₇	—	4	2	no	—
780	C₂²⋊D₁₇	—	4	2	no	—
781	C₂²⋊D₁₇	—	8	1	no	—
782	C₂²⋊D₁₇	—	8	1	no	—
783	C₂²⋊D₁₇	—	8	1	no	—
784	C₂×Dic₁₇	—	2	2	no	—
785	C₂×Dic₁₇	—	2	1	no	—
786	C₂×Dic₁₇	—	2	1	no	—
787	C₂×Dic₁₇	—	2	1	no	—
788	C₂×Dic₁₇	—	2	1	no	—
789	C₂×Dic₁₇	—	2	1	no	—
790	C₂×Dic₁₇	—	4	2	no	—
791	C₂×Dic₁₇	—	8	1	no	—
792	C₂×Dic₁₇	—	8	1	no	—
793	C₂×Dic₁₇	—	8	1	no	—
794	C₂×Dic₁₇	—	8	1	no	—
795	C₂×Dic₁₇	—	8	1	no	—
796	C₂×Dic₁₇	—	8	1	no	—
797	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
798	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
799	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
800	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
801	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
802	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
803	D₆₈	—	2	4	no	—
804	D₆₈	—	2	1	no	—
805	D₆₈	—	2	1	no	—
806	D₆₈	—	2	1	no	—
807	D₆₈	—	2	1	no	—
808	D₆₈	—	4	2	no	—
809	D₆₈	C₂×#41	1	2	yes	—
810	D₆₈	C₂×#41	1	2	yes	—
811	C₄×D₁₇	—	2	2	no	—
812	C₄×D₁₇	—	2	2	no	—
813	C₄×D₁₇	—	2	2	no	—
814	C₄×D₁₇	—	2	1	no	—
815	C₄×D₁₇	—	2	1	no	—
816	C₄×D₁₇	—	2	2	no	—
817	C₄×D₁₇	—	4	1	no	—
818	C₄×D₁₇	—	4	1	no	—
819	C₄×D₁₇	—	4	2	no	—
820	C₄×D₁₇	—	4	2	no	—
821	C₄×D₁₇	—	8	1	no	—
822	C₄×D₁₇	—	8	1	no	—
823	C₄×D₁₇	—	8	1	no	—
824	C₄×D₁₇	—	8	1	no	—
825	C₄×D₁₇	—	8	1	no	—
826	C₄×D₁₇	—	8	1	no	—
827	C₄×D₁₇	—	8	1	no	—
828	C₄×D₁₇	—	8	1	no	—
829	C₄×D₁₇	—	8	1	no	—
830	C₄×D₁₇	—	8	1	no	—
831	C₄×D₁₇	—	8	1	no	—
832	C₄×D₁₇	C₂×#41	1	2	yes	—
833	C₄×D₁₇	C₂×#41	1	2	yes	—
834	Dic₃₄	—	2	1	no	—
835	Dic₃₄	—	2	1	no	—
836	Dic₃₄	—	8	1	no	—
837	Dic₃₄	—	8	1	no	—
838	C₈×C₁₇	—	2	1	no	—
839	C₈×C₁₇	—	2	1	no	—
840	C₈×C₁₇	—	2	1	no	—
841	C₈×C₁₇	—	2	1	no	—
842	#3622	—	2	1	no	—
843	#3622	—	2	1	no	—
844	#3622	—	2	1	no	—
845	#3622	—	2	1	no	—
846	#3494	—	17	1	no	—
847	C₂×#518	—	17	1	no	—
848	#3122	—	17	1	no	—
849	#3122	—	17	1	no	—
850	#3122	—	17	1	no	—
851	#3122	D₁₇	1	1	yes	characteristic, complemented
852	#3118	—	17	1	no	—
853	#3118	—	17	1	no	—
854	#3118	—	17	1	no	—
855	#3118	—	17	1	no	—
856	#3114	—	17	1	no	—
857	#3114	—	17	1	no	—
858	#3109	—	17	1	no	—
859	#3109	—	17	1	no	—
860	#3105	—	17	1	no	—
861	#3105	—	17	1	no	—
862	#3100	—	17	1	no	—
863	#3100	—	17	1	no	—
864	#3094	—	17	1	no	—
865	#3091	—	17	1	no	—
866	#3081	—	17	1	no	—
867	#3081	—	17	1	no	—
868	#3041	—	17	1	no	—
869	#3041	—	17	1	no	—
870	#3003	—	17	1	no	—
871	C₂×#447	—	17	1	no	—
872	#2948	—	17	1	no	—
873	#2948	—	17	1	no	—
874	#2946	—	17	1	no	—
875	#2946	—	17	1	no	—
876	#2924	—	17	1	no	—
877	C₂²×C₁₇	—	2	1	no	—
878	C₂²×C₁₇	—	2	1	no	—
879	C₂²×C₁₇	—	2	2	no	—
880	C₂²×C₁₇	—	2	2	no	—
881	C₂²×C₁₇	—	2	1	no	—
882	C₂²×C₁₇	—	4	1	no	—
883	C₂²×C₁₇	—	4	1	no	—
884	C₂²×C₁₇	—	4	1	no	—
885	C₂²×C₁₇	—	4	1	no	—
886	C₂²×C₁₇	—	4	1	no	—
887	C₂²×C₁₇	—	4	1	no	—
888	C₂²×C₁₇	—	4	1	no	—
889	C₂²×C₁₇	—	4	1	no	—
890	C₂²×C₁₇	—	4	1	no	—
891	C₂²×C₁₇	—	4	1	no	—
892	C₂²×C₁₇	—	8	4	no	—
893	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
894	C₂×D₁₇	—	2	1	no	—
895	C₂×D₁₇	—	2	1	no	—
896	C₂×D₁₇	—	2	1	no	—
897	C₂×D₁₇	—	2	1	no	—
898	C₂×D₁₇	—	2	2	no	—
899	C₂×D₁₇	—	2	2	no	—
900	C₂×D₁₇	—	4	4	no	—
901	C₂×D₁₇	—	4	8	no	—
902	C₂×D₁₇	—	4	8	no	—
903	C₂×D₁₇	—	4	1	no	—
904	C₂×D₁₇	—	4	1	no	—
905	C₂×D₁₇	—	4	1	no	—
906	C₂×D₁₇	—	4	1	no	—
907	C₂×D₁₇	—	4	1	no	—
908	C₂×D₁₇	—	4	1	no	—
909	C₂×D₁₇	—	4	1	no	—
910	C₂×D₁₇	—	8	4	no	—
911	C₂×D₁₇	—	8	4	no	—
912	C₂×D₁₇	—	8	4	no	—
913	C₂×D₁₇	—	16	2	no	—
914	C₂×D₁₇	#525	1	2	yes	—
915	C₂×D₁₇	#576	1	2	yes	—
916	C₄×C₁₇	—	2	1	no	—
917	C₄×C₁₇	—	2	1	no	—
918	C₄×C₁₇	—	2	1	no	—
919	C₄×C₁₇	—	2	1	no	—
920	C₄×C₁₇	—	2	1	no	—
921	C₄×C₁₇	—	4	1	no	—
922	C₄×C₁₇	—	4	1	no	—
923	C₄×C₁₇	—	4	1	no	—
924	C₄×C₁₇	—	4	1	no	—
925	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
926	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
927	Dic₁₇	—	2	1	no	—
928	Dic₁₇	—	2	1	no	—
929	Dic₁₇	—	2	1	no	—
930	Dic₁₇	—	2	1	no	—
931	Dic₁₇	—	2	1	no	—
932	Dic₁₇	—	4	1	no	—
933	Dic₁₇	—	4	1	no	—
934	Dic₁₇	—	4	1	no	—
935	Dic₁₇	—	4	1	no	—
936	Dic₁₇	—	4	1	no	—
937	Dic₁₇	#525	1	2	yes	—
938	C₂³×D₄	—	17	1	no	—
939	C₂×AGL(1,ℤ/8)	—	17	1	no	—
940	C₂×AGL(1,ℤ/8)	—	17	1	no	—
941	C₂²×D₈	—	17	1	no	—
942	C₂²×D₈	—	17	1	no	—
943	#555	—	34	1	no	—
944	#553	—	34	1	no	—
945	#553	—	34	1	no	—
946	#551	—	34	1	no	—
947	#551	—	34	1	no	—
948	#547	—	34	1	no	—
949	#546	—	34	1	no	—
950	#546	—	34	1	no	—
951	#544	—	17	1	no	—
952	#542	—	17	1	no	—
953	#542	—	17	1	no	—
954	#540	—	17	1	no	—
955	#540	C₂×D₁₇	1	1	yes	characteristic, complemented
956	#535	—	17	1	no	—
957	#532	—	17	1	no	—
958	#532	—	17	1	no	—
959	#529	—	17	1	no	—
960	#529	—	17	1	no	—
961	#525	—	17	1	no	—
962	C₂×#121	—	17	1	no	—
963	#520	—	17	1	no	—
964	#518	—	17	1	no	—
965	#518	—	17	1	no	—
966	#518	—	17	1	no	—
967	#518	—	17	1	no	—
968	#518	—	17	1	no	—
969	#518	—	17	1	no	—
970	#518	—	17	1	no	—
971	#518	—	17	1	no	—
972	#518	—	34	1	no	—
973	#518	—	34	1	no	—
974	#518	—	34	1	no	—
975	#518	—	34	1	no	—
976	#518	C₂×D₁₇	1	1	yes	characteristic, complemented
977	C₂×C₄×D₄	—	17	1	no	—
978	C₂×C₄×D₄	—	17	1	no	—
979	C₂×C₄×D₄	—	17	1	no	—
980	C₂×C₄×D₄	—	17	1	no	—
981	C₂×C₄×D₄	—	34	1	no	—
982	C₂×C₄×D₄	—	34	1	no	—
983	C₂×#117	—	17	1	no	—
984	C₂×#117	—	17	1	no	—
985	C₂²×C₂²⋊C₄	—	34	1	no	—
986	C₂²×C₂²⋊C₄	—	34	1	no	—
987	#485	—	17	1	no	—
988	#485	—	17	1	no	—
989	#484	—	17	1	no	—
990	#483	—	17	1	no	—
991	#482	—	17	1	no	—
992	#482	—	17	1	no	—
993	#482	—	17	1	no	—
994	#482	—	17	1	no	—
995	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
996	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
997	#481	—	17	1	no	—
998	#481	—	17	1	no	—
999	#481	—	17	1	no	—
1000	#480	—	17	1	no	—
1001	#480	—	17	1	no	—
1002	#480	—	17	1	no	—
1003	#478	—	17	1	no	—
1004	#478	—	17	1	no	—
1005	#478	—	17	1	no	—
1006	#478	—	17	1	no	—
1007	#478	—	17	1	no	—
1008	#478	—	17	1	no	—
1009	#478	C₂×D₁₇	1	1	yes	characteristic, complemented
1010	#478	C₂×D₁₇	1	1	yes	characteristic, complemented
1011	#476	—	17	1	no	—
1012	#476	—	17	1	no	—
1013	#476	—	17	1	no	—
1014	#476	—	17	1	no	—
1015	#474	—	17	1	no	—
1016	#474	—	17	1	no	—
1017	#474	—	17	1	no	—
1018	#474	—	17	1	no	—
1019	#463	—	17	1	no	—
1020	#463	—	17	1	no	—
1021	#463	—	17	1	no	—
1022	#463	—	17	1	no	—
1023	#463	—	17	1	no	—
1024	#463	—	17	1	no	—
1025	#463	—	17	1	no	—
1026	#463	—	17	1	no	—
1027	#459	—	17	1	no	—
1028	#459	—	17	1	no	—
1029	#459	—	17	1	no	—
1030	#459	—	17	1	no	—
1031	#459	—	17	1	no	—
1032	#459	—	17	1	no	—
1033	#459	C₂×D₁₇	1	1	yes	characteristic, complemented
1034	#459	C₂×D₁₇	1	1	yes	characteristic, complemented
1035	#450	—	17	1	no	—
1036	#450	—	17	1	no	—
1037	#450	—	17	1	no	—
1038	#450	—	17	1	no	—
1039	#447	—	17	1	no	—
1040	#447	—	17	1	no	—
1041	#447	—	17	1	no	—
1042	#447	—	17	1	no	—
1043	#447	—	17	1	no	—
1044	#447	—	17	1	no	—
1045	#447	—	17	1	no	—
1046	#447	—	17	1	no	—
1047	#447	—	17	1	no	—
1048	#447	—	17	1	no	—
1049	#447	C₂×D₁₇	1	1	yes	characteristic
1050	#447	C₂×D₁₇	1	1	yes	characteristic, complemented
1051	#442	—	17	1	no	—
1052	#442	—	17	1	no	—
1053	#442	—	17	1	no	—
1054	#442	—	17	1	no	—
1055	#442	—	17	1	no	—
1056	#442	—	17	1	no	—
1057	#442	—	17	1	no	—
1058	#442	—	17	1	no	—
1059	#442	—	17	1	no	—
1060	#442	—	17	1	no	—
1061	#442	C₂×D₁₇	1	1	yes	characteristic, complemented
1062	#442	C₂×D₁₇	1	1	yes	characteristic, complemented
1063	#440	—	17	1	no	—
1064	#440	—	17	1	no	—
1065	#440	—	17	1	no	—
1066	#440	—	17	1	no	—
1067	C₄×SD₁₆	—	17	1	no	—
1068	C₄×SD₁₆	—	17	1	no	—
1069	C₄×SD₁₆	—	17	1	no	—
1070	C₄×SD₁₆	—	17	1	no	—
1071	C₄×D₈	—	17	1	no	—
1072	C₄×D₈	—	17	1	no	—
1073	C₄×D₈	—	17	1	no	—
1074	C₄×D₈	—	17	1	no	—
1075	C₄×D₈	—	17	1	no	—
1076	C₄×D₈	—	17	1	no	—
1077	C₄×D₈	—	17	1	no	—
1078	C₄×D₈	—	17	1	no	—
1079	C₄×D₈	—	17	1	no	—
1080	C₄×D₈	—	17	1	no	—
1081	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
1082	C₄×D₈	C₂×D₁₇	1	1	yes	characteristic, complemented
1083	#433	—	17	1	no	—
1084	#433	—	17	1	no	—
1085	#433	—	17	1	no	—
1086	#433	C₂×D₁₇	1	1	yes	characteristic, complemented
1087	#432	—	17	1	no	—
1088	#432	—	17	1	no	—
1089	#431	—	17	1	no	—
1090	#431	—	17	1	no	—
1091	#428	—	17	1	no	—
1092	#428	—	17	1	no	—
1093	#427	—	17	1	no	—
1094	#427	—	17	1	no	—
1095	#424	—	17	1	no	—
1096	#424	—	17	1	no	—
1097	#418	—	17	1	no	—
1098	#418	—	17	1	no	—
1099	#418	—	17	1	no	—
1100	#418	—	17	1	no	—
1101	#416	—	17	1	no	—
1102	#416	—	17	1	no	—
1103	C₂×#102	—	17	1	no	—
1104	C₂×#102	—	17	1	no	—
1105	#407	—	17	1	no	—
1106	C₂×C₂²⋊C₈	—	17	1	no	—
1107	#405	—	17	1	no	—
1108	#405	—	17	1	no	—
1109	C₂×C₁₇	—	4	1	no	—
1110	C₂×C₁₇	—	4	2	no	—
1111	C₂×C₁₇	—	4	2	no	—
1112	C₂×C₁₇	—	8	1	no	—
1113	C₂×C₁₇	—	8	1	no	—
1114	C₂×C₁₇	C₂×#525	1	1	yes	characteristic
1115	C₂×C₁₇	C₂×#576	1	1	yes	characteristic
1116	C₂×C₁₇	#3585	1	1	yes	characteristic
1117	D₁₇	—	2	2	no	—
1118	D₁₇	—	2	2	no	—
1119	D₁₇	—	4	2	no	—
1120	D₁₇	—	4	2	no	—
1121	D₁₇	—	8	1	no	—
1122	C₂⁵	—	34	1	no	—
1123	C₂×#41	—	17	1	no	—
1124	C₂×#41	—	34	1	no	—
1125	C₂×#41	—	34	1	no	—
1126	C₂²×D₄	—	17	1	no	—
1127	C₂²×D₄	—	17	1	no	—
1128	C₂²×D₄	—	17	1	no	—
1129	C₂²×D₄	—	17	1	no	—
1130	C₂²×D₄	—	17	1	no	—
1131	C₂²×D₄	—	17	1	no	—
1132	C₂²×D₄	—	34	1	no	—
1133	C₂²×D₄	—	34	1	no	—
1134	C₂²×D₄	—	34	1	no	—
1135	C₂²×D₄	—	34	4	no	—
1136	C₂²×D₄	—	34	4	no	—
1137	C₂²×D₄	—	34	1	no	—
1138	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1139	C₂³×C₄	—	17	1	no	—
1140	C₂³×C₄	—	34	1	no	—
1141	C₂³×C₄	—	34	1	no	—
1142	C₂³×C₄	—	34	1	no	—
1143	C₂³×C₄	—	34	1	no	—
1144	AGL(1,ℤ/8)	—	34	4	no	—
1145	AGL(1,ℤ/8)	—	34	4	no	—
1146	C₂×SD₁₆	—	17	1	no	—
1147	C₂×SD₁₆	—	17	1	no	—
1148	C₂×SD₁₆	—	17	1	no	—
1149	C₂×SD₁₆	—	17	1	no	—
1150	C₂×D₈	—	17	1	no	—
1151	C₂×D₈	—	17	1	no	—
1152	C₂×D₈	—	17	1	no	—
1153	C₂×D₈	—	17	1	no	—
1154	C₂×D₈	—	17	1	no	—
1155	C₂×D₈	—	17	1	no	—
1156	C₂×D₈	—	17	1	no	—
1157	C₂×D₈	—	17	1	no	—
1158	C₂×D₈	—	34	4	no	—
1159	C₂×D₈	—	34	4	no	—
1160	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1161	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1162	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1163	C₂×D₈	C₂²×D₁₇	1	1	yes	characteristic
1164	C₂×M₁₆	—	17	1	no	—
1165	C₂×M₁₆	—	17	1	no	—
1166	C₂²×C₈	—	17	1	no	—
1167	C₂²×C₈	—	17	1	no	—
1168	C₄⋊Q₈	—	17	1	no	—
1169	C₄⋊Q₈	—	17	1	no	—
1170	C₄⋊Q₈	—	34	1	no	—
1171	#127	—	17	1	no	—
1172	#127	C₂²×D₁₇	1	1	yes	characteristic, complemented
1173	#126	—	34	1	no	—
1174	#126	—	34	1	no	—
1175	#126	—	34	1	no	—
1176	#126	—	34	1	no	—
1177	#125	—	17	1	no	—
1178	#125	—	34	1	no	—
1179	#125	C₂²×D₁₇	1	1	yes	characteristic, complemented
1180	#124	—	17	1	no	—
1181	#124	—	17	1	no	—
1182	#124	—	34	1	no	—
1183	#124	—	34	1	no	—
1184	#124	—	34	1	no	—
1185	#124	—	34	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	34	1	no	—
1189	#123	—	34	1	no	—
1190	#123	—	34	1	no	—
1191	#123	—	34	1	no	—
1192	#123	—	34	1	no	—
1193	#123	—	34	1	no	—
1194	#123	—	34	1	no	—
1195	C₂²⋊Q₈	—	17	1	no	—
1196	C₂²⋊Q₈	—	17	1	no	—
1197	C₂²⋊Q₈	—	34	1	no	—
1198	C₂²⋊Q₈	—	34	1	no	—
1199	C₂²⋊Q₈	—	34	1	no	—
1200	C₂²⋊Q₈	—	34	1	no	—
1201	#121	—	2	1	no	—
1202	#121	—	2	1	no	—
1203	#121	—	17	1	no	—
1204	#121	—	17	1	no	—
1205	#121	—	17	1	no	—
1206	#121	—	17	1	no	—
1207	#121	—	34	1	no	—
1208	#121	—	34	1	no	—
1209	#121	—	34	1	no	—
1210	#121	—	34	1	no	—
1211	#121	—	34	1	no	—
1212	#121	—	34	1	no	—
1213	#121	—	34	1	no	—
1214	#121	—	34	1	no	—
1215	#121	C₂²×D₁₇	1	1	yes	characteristic
1216	#121	C₂²×D₁₇	1	1	yes	characteristic
1217	#120	—	34	1	no	—
1218	#120	—	34	1	no	—
1219	#120	—	34	1	no	—
1220	C₄×Q₈	—	17	1	no	—
1221	C₄×Q₈	—	17	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	17	1	no	—
1225	C₄×D₄	—	17	1	no	—
1226	C₄×D₄	—	17	1	no	—
1227	C₄×D₄	—	17	1	no	—
1228	C₄×D₄	—	17	1	no	—
1229	C₄×D₄	—	17	1	no	—
1230	C₄×D₄	—	17	1	no	—
1231	C₄×D₄	—	17	1	no	—
1232	C₄×D₄	—	17	1	no	—
1233	C₄×D₄	—	17	1	no	—
1234	C₄×D₄	—	17	1	no	—
1235	C₄×D₄	—	17	1	no	—
1236	C₄×D₄	—	17	1	no	—
1237	C₄×D₄	—	17	1	no	—
1238	C₄×D₄	—	17	1	no	—
1239	C₄×D₄	—	17	1	no	—
1240	C₄×D₄	—	34	1	no	—
1241	C₄×D₄	—	34	1	no	—
1242	C₄×D₄	—	34	1	no	—
1243	C₄×D₄	—	34	1	no	—
1244	C₄×D₄	—	34	1	no	—
1245	C₄×D₄	—	34	1	no	—
1246	C₄×D₄	—	34	1	no	—
1247	C₄×D₄	—	34	1	no	—
1248	C₄×D₄	—	34	1	no	—
1249	C₄×D₄	—	34	1	no	—
1250	C₄×D₄	—	34	1	no	—
1251	C₄×D₄	—	34	1	no	—
1252	C₄×D₄	—	34	1	no	—
1253	C₄×D₄	—	34	1	no	—
1254	C₄×D₄	—	34	1	no	—
1255	C₄×D₄	—	34	1	no	—
1256	C₄×D₄	—	34	1	no	—
1257	C₄×D₄	—	34	1	no	—
1258	C₄×D₄	—	34	1	no	—
1259	C₄×D₄	—	34	1	no	—
1260	C₄×D₄	—	34	1	no	—
1261	C₄×D₄	—	34	1	no	—
1262	C₄×D₄	—	34	1	no	—
1263	C₄×D₄	—	34	1	no	—
1264	C₄×D₄	—	34	1	no	—
1265	C₄×D₄	—	34	1	no	—
1266	C₄×D₄	—	34	1	no	—
1267	C₄×D₄	—	34	1	no	—
1268	C₄×D₄	—	34	1	no	—
1269	C₄×D₄	—	34	1	no	—
1270	C₄×D₄	—	34	1	no	—
1271	C₄×D₄	—	34	1	no	—
1272	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1273	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1274	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1277	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic, complemented
1278	#117	—	17	1	no	—
1279	#117	—	17	1	no	—
1280	#117	—	17	1	no	—
1281	#117	—	17	1	no	—
1282	#117	—	17	1	no	—
1283	#117	—	17	1	no	—
1284	#117	—	17	1	no	—
1285	#117	—	17	1	no	—
1286	#117	—	17	1	no	—
1287	#117	—	17	1	no	—
1288	#117	—	17	1	no	—
1289	#117	—	34	1	no	—
1290	#117	—	34	1	no	—
1291	#117	—	34	1	no	—
1292	#117	—	34	1	no	—
1293	#117	—	34	1	no	—
1294	#117	C₂²×D₁₇	1	1	yes	characteristic
1295	#117	C₂²×D₁₇	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	—	17	1	no	—
1297	C₂×C₄⋊C₄	—	17	1	no	—
1298	C₂×C₄⋊C₄	—	17	1	no	—
1299	C₂×C₄⋊C₄	—	17	1	no	—
1300	C₂×C₄⋊C₄	—	17	1	no	—
1301	C₂×C₄⋊C₄	—	34	1	no	—
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	17	1	no	—
1305	C₂×C₂²⋊C₄	—	17	1	no	—
1306	C₂×C₂²⋊C₄	—	34	1	no	—
1307	C₂×C₂²⋊C₄	—	34	1	no	—
1308	C₂×C₂²⋊C₄	—	34	1	no	—
1309	C₂×C₂²⋊C₄	—	34	1	no	—
1310	C₂×C₂²⋊C₄	—	34	1	no	—
1311	C₂×C₂²⋊C₄	—	34	1	no	—
1312	C₂×C₂²⋊C₄	—	34	1	no	—
1313	C₂×C₂²⋊C₄	—	34	1	no	—
1314	C₂×C₂²⋊C₄	—	34	1	no	—
1315	C₂×C₂²⋊C₄	—	34	1	no	—
1316	C₂×C₂²⋊C₄	—	34	1	no	—
1317	C₂×C₂²⋊C₄	—	34	1	no	—
1318	C₂×C₂²⋊C₄	—	34	1	no	—
1319	C₂×C₂²⋊C₄	—	34	1	no	—
1320	C₂×C₂²⋊C₄	—	34	1	no	—
1321	C₂×C₂²⋊C₄	—	34	1	no	—
1322	C₂×C₂²⋊C₄	—	34	1	no	—
1323	C₂×C₂²⋊C₄	—	34	1	no	—
1324	C₂×C₂²⋊C₄	—	34	1	no	—
1325	C₂×C₂²⋊C₄	—	34	1	no	—
1326	C₂×C₂²⋊C₄	—	34	1	no	—
1327	C₂×C₂²⋊C₄	—	34	1	no	—
1328	C₂×C₄²	—	17	1	no	—
1329	C₂×C₄²	—	17	1	no	—
1330	C₂×C₄²	—	34	1	no	—
1331	#107	—	17	1	no	—
1332	#107	—	17	1	no	—
1333	#107	—	17	1	no	—
1334	#107	—	17	1	no	—
1335	#107	—	17	1	no	—
1336	#107	—	17	1	no	—
1337	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1338	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1339	#106	—	17	1	no	—
1340	#106	—	17	1	no	—
1341	#106	—	17	1	no	—
1342	#106	—	17	1	no	—
1343	#106	—	17	1	no	—
1344	#106	—	17	1	no	—
1345	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1346	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1347	C₄⋊C₈	—	17	1	no	—
1348	C₄⋊C₈	—	17	1	no	—
1349	C₄⋊C₈	—	17	1	no	—
1350	C₄⋊C₈	—	17	1	no	—
1351	C₄⋊C₈	—	17	1	no	—
1352	C₄⋊C₈	—	17	1	no	—
1353	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1354	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1355	#103	—	17	1	no	—
1356	#103	—	17	1	no	—
1357	#103	—	17	1	no	—
1358	#103	—	17	1	no	—
1359	#102	—	17	1	no	—
1360	#102	—	17	1	no	—
1361	#102	—	17	1	no	—
1362	#102	—	17	1	no	—
1363	#102	—	17	1	no	—
1364	#102	—	17	1	no	—
1365	#102	—	17	1	no	—
1366	#102	—	17	1	no	—
1367	#102	—	17	1	no	—
1368	#102	—	17	1	no	—
1369	#102	—	17	1	no	—
1370	#102	—	17	1	no	—
1371	#102	—	17	1	no	—
1372	#102	—	17	1	no	—
1373	#102	—	17	1	no	—
1374	#102	—	17	1	no	—
1375	#102	—	17	1	no	—
1376	#102	—	17	1	no	—
1377	#102	—	17	1	no	—
1378	#102	—	17	1	no	—
1379	#102	C₂²×D₁₇	1	1	yes	characteristic
1380	#102	C₂²×D₁₇	1	1	yes	characteristic
1381	#102	C₂²×D₁₇	1	1	yes	characteristic
1382	#102	C₂²×D₁₇	1	1	yes	characteristic
1383	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1384	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1385	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1386	#102	C₂²×D₁₇	1	1	yes	characteristic, complemented
1387	C₂²⋊C₈	—	17	1	no	—
1388	C₂²⋊C₈	—	17	1	no	—
1389	C₂²⋊C₈	—	17	1	no	—
1390	C₂²⋊C₈	—	17	1	no	—
1391	C₂²⋊C₈	—	17	1	no	—
1392	C₂²⋊C₈	—	17	1	no	—
1393	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1395	#97	—	17	1	no	—
1396	#97	—	17	1	no	—
1397	#97	—	17	1	no	—
1398	#97	C₂²×D₁₇	1	1	yes	characteristic, complemented
1399	C₄×C₈	—	17	1	no	—
1400	C₄×C₈	—	17	1	no	—
1401	C₄×C₈	—	17	1	no	—
1402	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1403	C₁₇	#60578	1	1	yes	characteristic, complemented, Sylow
1404	C₂⁴	—	2	1	no	—
1405	C₂⁴	—	17	1	no	—
1406	C₂⁴	—	34	1	no	—
1407	C₂⁴	—	34	1	no	—
1408	C₂⁴	—	34	1	no	—
1409	C₂⁴	—	34	1	no	—
1410	C₂⁴	—	34	1	no	—
1411	C₂⁴	—	34	8	no	—
1412	C₂⁴	—	34	1	no	—
1413	C₂⁴	—	136	2	no	—
1414	C₂⁴	—	136	2	no	—
1415	#41	—	34	2	no	—
1416	#41	—	34	2	no	—
1417	#41	—	136	2	no	—
1418	#41	—	136	2	no	—
1419	C₂×Q₈	—	17	1	no	—
1420	C₂×Q₈	—	34	1	no	—
1421	C₂×Q₈	—	34	1	no	—
1422	C₂×D₄	—	2	2	no	—
1423	C₂×D₄	—	2	2	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	17	4	no	—
1430	C₂×D₄	—	17	4	no	—
1431	C₂×D₄	—	17	1	no	—
1432	C₂×D₄	—	17	1	no	—
1433	C₂×D₄	—	17	1	no	—
1434	C₂×D₄	—	34	2	no	—
1435	C₂×D₄	—	34	2	no	—
1436	C₂×D₄	—	34	1	no	—
1437	C₂×D₄	—	34	2	no	—
1438	C₂×D₄	—	34	2	no	—
1439	C₂×D₄	—	34	2	no	—
1440	C₂×D₄	—	34	2	no	—
1441	C₂×D₄	—	34	1	no	—
1442	C₂×D₄	—	34	1	no	—
1443	C₂×D₄	—	34	1	no	—
1444	C₂×D₄	—	34	1	no	—
1445	C₂×D₄	—	34	1	no	—
1446	C₂×D₄	—	34	1	no	—
1447	C₂×D₄	—	34	1	no	—
1448	C₂×D₄	—	34	2	no	—
1449	C₂×D₄	—	34	2	no	—
1450	C₂×D₄	—	34	8	no	—
1451	C₂×D₄	—	34	8	no	—
1452	C₂×D₄	—	34	8	no	—
1453	C₂×D₄	—	34	2	no	—
1454	C₂×D₄	—	34	2	no	—
1455	C₂×D₄	—	34	1	no	—
1456	C₂×D₄	—	34	1	no	—
1457	C₂×D₄	—	34	1	no	—
1458	C₂×D₄	—	34	1	no	—
1459	C₂×D₄	—	34	1	no	—
1460	C₂×D₄	—	136	2	no	—
1461	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1462	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1463	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1464	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	17	1	no	—
1472	C₂²×C₄	—	17	1	no	—
1473	C₂²×C₄	—	17	1	no	—
1474	C₂²×C₄	—	17	1	no	—
1475	C₂²×C₄	—	17	1	no	—
1476	C₂²×C₄	—	17	1	no	—
1477	C₂²×C₄	—	17	1	no	—
1478	C₂²×C₄	—	17	1	no	—
1479	C₂²×C₄	—	17	1	no	—
1480	C₂²×C₄	—	34	2	no	—
1481	C₂²×C₄	—	34	2	no	—
1482	C₂²×C₄	—	34	1	no	—
1483	C₂²×C₄	—	34	1	no	—
1484	C₂²×C₄	—	34	1	no	—
1485	C₂²×C₄	—	34	1	no	—
1486	C₂²×C₄	—	34	1	no	—
1487	C₂²×C₄	—	34	1	no	—
1488	C₂²×C₄	—	34	1	no	—
1489	C₂²×C₄	—	34	1	no	—
1490	C₂²×C₄	—	34	1	no	—
1491	C₂²×C₄	—	34	1	no	—
1492	C₂²×C₄	—	34	1	no	—
1493	C₂²×C₄	—	34	1	no	—
1494	C₂²×C₄	—	34	1	no	—
1495	C₂²×C₄	—	34	1	no	—
1496	C₂²×C₄	—	34	1	no	—
1497	C₂²×C₄	—	34	1	no	—
1498	C₂²×C₄	—	34	1	no	—
1499	C₂²×C₄	—	34	1	no	—
1500	C₂²×C₄	—	34	1	no	—
1501	C₂²×C₄	—	34	1	no	—
1502	C₂²×C₄	—	136	2	no	—
1503	C₂²×C₄	—	136	2	no	—
1504	C₂²×C₄	—	136	2	no	—
1505	C₂²×C₄	—	136	2	no	—
1506	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1507	SD₁₆	—	34	2	no	—
1508	SD₁₆	—	34	2	no	—
1509	SD₁₆	—	34	2	no	—
1510	SD₁₆	—	34	2	no	—
1511	D₈	—	2	2	no	—
1512	D₈	—	2	2	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	2	2	no	—
1515	D₈	—	34	2	no	—
1516	D₈	—	34	2	no	—
1517	D₈	—	34	2	no	—
1518	D₈	—	34	2	no	—
1519	D₈	—	34	2	no	—
1520	D₈	—	34	2	no	—
1521	D₈	—	34	2	no	—
1522	D₈	—	34	2	no	—
1523	M₁₆	—	34	2	no	—
1524	M₁₆	—	34	2	no	—
1525	C₂×C₈	—	17	1	no	—
1526	C₂×C₈	—	17	1	no	—
1527	C₂×C₈	—	17	1	no	—
1528	C₂×C₈	—	17	1	no	—
1529	C₂×C₈	—	34	2	no	—
1530	C₂×C₈	—	34	2	no	—
1531	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1532	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1533	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1534	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	17	1	no	—
1538	C₄⋊C₄	—	17	1	no	—
1539	C₄⋊C₄	—	17	1	no	—
1540	C₄⋊C₄	—	17	1	no	—
1541	C₄⋊C₄	—	17	1	no	—
1542	C₄⋊C₄	—	17	1	no	—
1543	C₄⋊C₄	—	17	1	no	—
1544	C₄⋊C₄	—	17	1	no	—
1545	C₄⋊C₄	—	17	1	no	—
1546	C₄⋊C₄	—	17	1	no	—
1547	C₄⋊C₄	—	34	1	no	—
1548	C₄⋊C₄	—	34	1	no	—
1549	C₄⋊C₄	—	34	1	no	—
1550	C₄⋊C₄	—	34	1	no	—
1551	C₄⋊C₄	—	34	1	no	—
1552	C₄⋊C₄	—	34	1	no	—
1553	C₄⋊C₄	—	34	1	no	—
1554	C₄⋊C₄	—	34	1	no	—
1555	C₄⋊C₄	—	34	1	no	—
1556	C₄⋊C₄	—	34	1	no	—
1557	C₄⋊C₄	—	34	1	no	—
1558	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1559	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1560	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1561	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1562	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1563	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	17	1	no	—
1574	C₂²⋊C₄	—	17	1	no	—
1575	C₂²⋊C₄	—	17	1	no	—
1576	C₂²⋊C₄	—	17	1	no	—
1577	C₂²⋊C₄	—	17	1	no	—
1578	C₂²⋊C₄	—	17	1	no	—
1579	C₂²⋊C₄	—	34	1	no	—
1580	C₂²⋊C₄	—	34	1	no	—
1581	C₂²⋊C₄	—	34	1	no	—
1582	C₂²⋊C₄	—	34	1	no	—
1583	C₂²⋊C₄	—	34	1	no	—
1584	C₂²⋊C₄	—	34	1	no	—
1585	C₂²⋊C₄	—	34	1	no	—
1586	C₂²⋊C₄	—	34	1	no	—
1587	C₂²⋊C₄	—	34	1	no	—
1588	C₂²⋊C₄	—	34	1	no	—
1589	C₂²⋊C₄	—	34	1	no	—
1590	C₂²⋊C₄	—	34	1	no	—
1591	C₂²⋊C₄	—	34	1	no	—
1592	C₂²⋊C₄	—	34	1	no	—
1593	C₂²⋊C₄	—	34	1	no	—
1594	C₂²⋊C₄	—	34	1	no	—
1595	C₂²⋊C₄	—	34	1	no	—
1596	C₂²⋊C₄	—	34	1	no	—
1597	C₂²⋊C₄	—	34	1	no	—
1598	C₂²⋊C₄	—	34	1	no	—
1599	C₂²⋊C₄	—	34	1	no	—
1600	C₂²⋊C₄	—	34	1	no	—
1601	C₂²⋊C₄	—	34	1	no	—
1602	C₂²⋊C₄	—	34	1	no	—
1603	C₂²⋊C₄	—	34	1	no	—
1604	C₂²⋊C₄	—	34	1	no	—
1605	C₂²⋊C₄	—	34	1	no	—
1606	C₂²⋊C₄	—	34	1	no	—
1607	C₂²⋊C₄	—	34	1	no	—
1608	C₂²⋊C₄	—	34	1	no	—
1609	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1610	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1611	C₄²	—	2	1	no	—
1612	C₄²	—	17	1	no	—
1613	C₄²	—	17	1	no	—
1614	C₄²	—	17	1	no	—
1615	C₄²	—	17	1	no	—
1616	C₄²	—	17	1	no	—
1617	C₄²	—	17	1	no	—
1618	C₄²	—	34	1	no	—
1619	C₄²	—	34	1	no	—
1620	C₄²	—	34	1	no	—
1621	C₄²	—	34	1	no	—
1622	C₄²	—	34	1	no	—
1623	C₄²	—	34	1	no	—
1624	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1625	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1626	C₂³	—	2	4	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	2	1	no	—
1631	C₂³	—	8	1	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	17	1	no	—
1634	C₂³	—	17	1	no	—
1635	C₂³	—	34	2	no	—
1636	C₂³	—	34	2	no	—
1637	C₂³	—	34	4	no	—
1638	C₂³	—	34	4	no	—
1639	C₂³	—	34	4	no	—
1640	C₂³	—	34	4	no	—
1641	C₂³	—	34	4	no	—
1642	C₂³	—	34	1	no	—
1643	C₂³	—	34	1	no	—
1644	C₂³	—	34	1	no	—
1645	C₂³	—	68	1	no	—
1646	C₂³	—	68	2	no	—
1647	C₂³	—	68	2	no	—
1648	C₂³	—	68	2	no	—
1649	C₂³	—	68	2	no	—
1650	C₂³	—	68	2	no	—
1651	C₂³	—	136	1	no	—
1652	C₂³	—	136	1	no	—
1653	C₂³	—	136	1	no	—
1654	C₂³	—	136	1	no	—
1655	C₂³	—	136	1	no	—
1656	C₂³	—	136	1	no	—
1657	C₂³	—	136	1	no	—
1658	C₂³	—	136	1	no	—
1659	C₂³	—	136	16	no	—
1660	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1661	Q₈	—	34	1	no	—
1662	Q₈	—	34	1	no	—
1663	Q₈	—	136	1	no	—
1664	Q₈	—	136	1	no	—
1665	D₄	—	2	4	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	2	1	no	—
1671	D₄	—	2	1	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	17	2	no	—
1677	D₄	—	17	2	no	—
1678	D₄	—	34	4	no	—
1679	D₄	—	34	4	no	—
1680	D₄	—	34	4	no	—
1681	D₄	—	34	4	no	—
1682	D₄	—	34	4	no	—
1683	D₄	—	34	1	no	—
1684	D₄	—	34	1	no	—
1685	D₄	—	34	1	no	—
1686	D₄	—	34	1	no	—
1687	D₄	—	68	2	no	—
1688	D₄	—	68	2	no	—
1689	D₄	—	68	2	no	—
1690	D₄	—	68	2	no	—
1691	D₄	—	68	2	no	—
1692	D₄	—	136	1	no	—
1693	D₄	—	136	1	no	—
1694	D₄	—	136	1	no	—
1695	D₄	#41×D₁₇	1	2	yes	—
1696	D₄	#41×D₁₇	1	2	yes	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	8	1	no	—
1708	C₂×C₄	—	8	1	no	—
1709	C₂×C₄	—	17	1	no	—
1710	C₂×C₄	—	17	2	no	—
1711	C₂×C₄	—	17	2	no	—
1712	C₂×C₄	—	17	1	no	—
1713	C₂×C₄	—	17	1	no	—
1714	C₂×C₄	—	17	1	no	—
1715	C₂×C₄	—	17	1	no	—
1716	C₂×C₄	—	17	1	no	—
1717	C₂×C₄	—	34	2	no	—
1718	C₂×C₄	—	34	2	no	—
1719	C₂×C₄	—	34	2	no	—
1720	C₂×C₄	—	34	2	no	—
1721	C₂×C₄	—	34	2	no	—
1722	C₂×C₄	—	34	1	no	—
1723	C₂×C₄	—	34	1	no	—
1724	C₂×C₄	—	34	1	no	—
1725	C₂×C₄	—	34	1	no	—
1726	C₂×C₄	—	34	1	no	—
1727	C₂×C₄	—	34	1	no	—
1728	C₂×C₄	—	34	1	no	—
1729	C₂×C₄	—	68	1	no	—
1730	C₂×C₄	—	68	1	no	—
1731	C₂×C₄	—	68	2	no	—
1732	C₂×C₄	—	68	2	no	—
1733	C₂×C₄	—	68	2	no	—
1734	C₂×C₄	—	136	1	no	—
1735	C₂×C₄	—	136	1	no	—
1736	C₂×C₄	—	136	1	no	—
1737	C₂×C₄	—	136	1	no	—
1738	C₂×C₄	—	136	1	no	—
1739	C₂×C₄	—	136	1	no	—
1740	C₂×C₄	—	136	1	no	—
1741	C₂×C₄	—	136	1	no	—
1742	C₂×C₄	—	136	1	no	—
1743	C₂×C₄	—	136	1	no	—
1744	C₂×C₄	—	136	1	no	—
1745	C₂×C₄	—	136	1	no	—
1746	C₂×C₄	—	136	1	no	—
1747	C₂×C₄	—	136	1	no	—
1748	C₂×C₄	—	136	1	no	—
1749	C₂×C₄	—	136	1	no	—
1750	C₂×C₄	—	136	1	no	—
1751	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1752	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1753	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1754	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1755	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1756	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1757	C₈	—	2	1	no	—
1758	C₈	—	2	1	no	—
1759	C₈	—	2	1	no	—
1760	C₈	—	2	1	no	—
1761	C₈	—	34	1	no	—
1762	C₈	—	34	1	no	—
1763	C₈	—	34	1	no	—
1764	C₈	—	34	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	2	1	no	—
1767	C₂²	—	2	2	no	—
1768	C₂²	—	2	2	no	—
1769	C₂²	—	2	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	8	4	no	—
1781	C₂²	—	272	2	no	—
1782	C₂²	—	17	2	no	—
1783	C₂²	—	17	2	no	—
1784	C₂²	—	34	1	no	—
1785	C₂²	—	34	1	no	—
1786	C₂²	—	34	1	no	—
1787	C₂²	—	34	1	no	—
1788	C₂²	—	34	2	no	—
1789	C₂²	—	34	2	no	—
1790	C₂²	—	68	4	no	—
1791	C₂²	—	68	8	no	—
1792	C₂²	—	68	8	no	—
1793	C₂²	—	68	1	no	—
1794	C₂²	—	68	1	no	—
1795	C₂²	—	68	1	no	—
1796	C₂²	—	68	1	no	—
1797	C₂²	—	68	1	no	—
1798	C₂²	—	68	1	no	—
1799	C₂²	—	68	1	no	—
1800	C₂²	—	136	4	no	—
1801	C₂²	—	136	4	no	—
1802	C₂²	—	136	4	no	—
1803	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	17	2	no	—
1814	C₄	—	34	1	no	—
1815	C₄	—	34	1	no	—
1816	C₄	—	34	1	no	—
1817	C₄	—	34	1	no	—
1818	C₄	—	34	1	no	—
1819	C₄	—	68	1	no	—
1820	C₄	—	68	1	no	—
1821	C₄	—	68	1	no	—
1822	C₄	—	68	1	no	—
1823	C₄	—	68	1	no	—
1824	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1825	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1826	C₂	—	4	1	no	—
1827	C₂	—	4	2	no	—
1828	C₂	—	4	2	no	—
1829	C₂	—	8	1	no	—
1830	C₂	—	8	1	no	—
1831	C₂	—	34	2	no	—
1832	C₂	—	34	2	no	—
1833	C₂	—	68	2	no	—
1834	C₂	—	68	2	no	—
1835	C₂	—	136	1	no	—
1836	C₂	D₁₇×#525	1	1	yes	characteristic
1837	C₂	D₁₇×#576	1	1	yes	characteristic
1838	C₂	#14543559	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₇
commutator, cosocle	C₂×C₄×C₁₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₇
Fitting	C₁₇×#3122	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3122	D₁₇
hypocenter	C₁₇	#60578
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3122

Complements

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

N	H ≅ G/N	type
1. #14542511	C₂	semidirect
2. D₁₇×#518	C₂	semidirect
3. #14539023	C₂	semidirect
4. #14539022	C₂	semidirect
5. #14539021	C₂	semidirect
6. #14538970	C₂	semidirect
7. #14538968	C₂	semidirect
8. #14538963	C₂	semidirect
9. #14538961	C₂	semidirect
10. #14538927	C₂	semidirect
11. #14538920	C₂	semidirect
12. #14538874	C₂	semidirect
13. #14538873	C₂	semidirect
14. #14538836	C₂	semidirect
15. #14538829	C₂	semidirect
16. #14538783	C₂	semidirect
17. #14538782	C₂	semidirect
18. #14538723	C₂	semidirect
19. #14538696	C₂	semidirect
20. #14538614	C₂	semidirect
21. #14538612	C₂	semidirect
22. #14538282	C₂	semidirect
23. #14538282	C₂	semidirect
24. #14538008	C₂	semidirect
25. D₁₇×#447	C₂	semidirect
26. #14537633	C₂	semidirect
27. #14537631	C₂	semidirect
28. #14537613	C₂	semidirect
29. #14537609	C₂	semidirect
30. #14537440	C₂	semidirect
31. C₁₇×#3122	C₂	semidirect
45. #11763439	C₂²	semidirect
46. #11763430	C₂²	semidirect
47. #11763426	C₂²	semidirect
48. #11763412	C₂²	semidirect
49. #11763372	C₂²	semidirect
50. #11763357	C₂²	semidirect
51. #11763356	C₂²	semidirect
52. #11763344	C₂²	semidirect
53. #11763341	C₂²	semidirect
56. #11763288	C₂²	semidirect
57. #11763284	C₂²	semidirect
58. #11763283	C₂²	semidirect
59. #11763283	C₂²	semidirect
68. #11763281	C₂²	semidirect
71. C₄×D₄×D₁₇	C₂²	semidirect
72. C₄×D₄×D₁₇	C₂²	semidirect
73. C₄×D₄×D₁₇	C₂²	semidirect
74. C₄×D₄×D₁₇	C₂²	semidirect
79. #11763151	C₂²	semidirect
80. #11763150	C₂²	semidirect
81. #11763146	C₂²	semidirect
82. #11763141	C₂²	semidirect
83. #11763134	C₂²	semidirect
84. #11763133	C₂²	semidirect
85. #11763130	C₂²	semidirect
86. #11763130	C₂²	semidirect
87. #11763129	C₂²	semidirect
88. #11763126	C₂²	semidirect
89. #11763126	C₂²	semidirect
90. #11763124	C₂²	semidirect
91. #11763121	C₂²	semidirect
92. #11763121	C₂²	semidirect
93. #11763112	C₂²	semidirect
94. #11763111	C₂²	semidirect
95. #11763108	C₂²	semidirect
96. #11763107	C₂²	semidirect
97. #11763106	C₂²	semidirect
98. #11763106	C₂²	semidirect
99. #11763100	C₂²	semidirect
100. #11763099	C₂²	semidirect
101. #11763098	C₂²	semidirect
102. #11763097	C₂²	semidirect
103. #11763090	C₂²	semidirect
104. #11763089	C₂²	semidirect
105. #11763088	C₂²	semidirect
106. #11763087	C₂²	semidirect
107. #11763025	C₂²	semidirect
108. #11763025	C₂²	semidirect
109. #11763024	C₂²	semidirect
110. #11763024	C₂²	semidirect
111. #11763023	C₂²	semidirect
112. #11763023	C₂²	semidirect
113. #11763022	C₂²	semidirect
114. #11763022	C₂²	semidirect
115. #11763003	C₂²	semidirect
116. #11763003	C₂²	semidirect
117. #11763002	C₂²	semidirect
118. #11763002	C₂²	semidirect
119. #11763001	C₂²	semidirect
120. #11763001	C₂²	semidirect
121. #11762962	C₂²	semidirect
122. #11762961	C₂²	semidirect
123. #11762961	C₂²	semidirect
124. #11762960	C₂²	semidirect
130. #11762942	C₂²	semidirect
133. #11762941	C₂²	semidirect
134. #11762941	C₂²	semidirect
135. #11762922	C₂²	semidirect
136. #11762921	C₂²	semidirect
137. #11762921	C₂²	semidirect
138. #11762920	C₂²	semidirect
139. #11762919	C₂²	semidirect
140. #11762919	C₂²	semidirect
141. #11762919	C₂²	semidirect
142. #11762918	C₂²	semidirect
143. #11762918	C₂²	semidirect
144. #11762918	C₂²	semidirect
145. #11762911	C₂²	semidirect
146. #11762909	C₂²	semidirect
147. #11762908	C₂²	semidirect
148. #11762906	C₂²	semidirect
149. #11762900	C₂²	semidirect
150. C₄×#63219	C₂²	semidirect
151. #11762896	C₂²	semidirect
152. C₄×#63229	C₂²	semidirect
153. C₄×D₁₃₆	C₂²	semidirect
154. D₈×Dic₁₇	C₂²	semidirect
155. D₈×Dic₁₇	C₂²	semidirect
156. #11762891	C₂²	semidirect
157. C₄×#63228	C₂²	semidirect
158. C₄×#63228	C₂²	semidirect
159. C₄×#63228	C₂²	semidirect
160. #11762889	C₂²	semidirect
161. #11762889	C₂²	semidirect
162. #11762889	C₂²	semidirect
163. #11762870	C₂²	semidirect
164. #11762867	C₂²	semidirect
165. #11762867	C₂²	semidirect
166. #11762865	C₂²	semidirect
167. #11762864	C₂²	semidirect
168. #11762861	C₂²	semidirect
169. #11762860	C₂²	semidirect
170. #11762850	C₂²	semidirect
171. #11762848	C₂²	semidirect
172. #11762846	C₂²	semidirect
173. #11762844	C₂²	semidirect
174. #11762834	C₂²	semidirect
175. #11762834	C₂²	semidirect
178. #11762812	C₂²	semidirect
179. #11762812	C₂²	semidirect
180. #11762802	C₂²	semidirect
181. #11762802	C₂²	semidirect
186. #11762766	C₂²	semidirect
187. #11762763	C₂²	semidirect
188. C₁₇×#540	C₂²	semidirect
189. C₁₇×#518	C₂²	semidirect
190. C₁₇×#482	C₂²	semidirect
191. C₁₇×#482	C₂²	semidirect
192. C₁₇×#478	C₂²	semidirect
193. C₁₇×#478	C₂²	semidirect
194. C₁₇×#459	C₂²	semidirect
195. C₁₇×#459	C₂²	semidirect
197. C₁₇×#447	C₂²	semidirect
198. C₁₇×#442	C₂²	semidirect
199. C₁₇×#442	C₂²	semidirect
200. C₄×D₈×C₁₇	C₂²	semidirect
201. C₄×D₈×C₁₇	C₂²	semidirect
202. C₁₇×#433	C₂²	semidirect
229. C₁₇×#127	C₂³	semidirect
230. C₁₇×#125	C₂³	semidirect
243. C₄×D₄×C₁₇	C₂³	semidirect
244. C₄×D₄×C₁₇	C₂³	semidirect
251. #10587626	C₂³	semidirect
265. #10587622	C₂³	semidirect
275. D₄×Dic₁₇	C₂³	semidirect
276. D₄×Dic₁₇	C₂³	semidirect
335. #10587579	C₂³	semidirect
347. #10587576	C₂³	semidirect
350. #10587574	C₂³	semidirect
351. #10587573	C₂³	semidirect
396. #10587561	C₂³	semidirect
403. C₄×D₆₈	C₂³	semidirect
410. #10587555	C₂³	semidirect
411. C₄×Dic₃₄	C₂³	semidirect
412. C₁₇×#107	C₂³	semidirect
413. C₁₇×#107	C₂³	semidirect
414. C₁₇×#106	C₂³	semidirect
415. C₁₇×#106	C₂³	semidirect
416. C₁₇×C₄⋊C₈	C₂³	semidirect
417. C₁₇×C₄⋊C₈	C₂³	semidirect
422. C₁₇×#102	C₂³	semidirect
423. C₁₇×#102	C₂³	semidirect
424. C₁₇×#102	C₂³	semidirect
425. C₁₇×#102	C₂³	semidirect
428. C₁₇×#97	C₂³	semidirect
429. C₄×C₈×C₁₇	C₂³	semidirect
434. #10587503	C₂³	semidirect
435. #10587503	C₂³	semidirect
436. #10587503	C₂³	semidirect
437. #10587503	C₂³	semidirect
444. #10587492	C₂³	semidirect
445. #10587492	C₂³	semidirect
450. #10587489	C₂³	semidirect
451. #10587489	C₂³	semidirect
452. #10587488	C₂³	semidirect
453. #10587488	C₂³	semidirect
454. #10587487	C₂³	semidirect
455. #10587487	C₂³	semidirect
456. #10587486	C₂³	semidirect
457. #10587486	C₂³	semidirect
458. #10587485	C₂³	semidirect
459. #10587485	C₂³	semidirect
460. #10587485	C₂³	semidirect
461. #10587485	C₂³	semidirect
462. C₈×Dic₁₇	C₂³	semidirect
463. C₈×Dic₁₇	C₂³	semidirect
464. #10587481	C₂³	semidirect
465. #10587481	C₂³	semidirect
470. #10587480	C₂³	semidirect
471. #10587480	C₂³	semidirect
472. #10587479	C₂³	semidirect
473. #10587479	C₂³	semidirect
474. #10587479	C₂³	semidirect
475. #10587479	C₂³	semidirect
476. #10587478	C₂³	semidirect
477. #10587478	C₂³	semidirect
478. #10587478	C₂³	semidirect
479. #10587478	C₂³	semidirect
480. C₄⋊#3622	C₂³	semidirect
481. C₄⋊#3622	C₂³	semidirect
482. #10587474	C₂³	semidirect
483. C₄×#3622	C₂³	semidirect
547. D₄×D₁₇	#41	semidirect
548. D₄×D₁₇	#41	semidirect
851. #3122	D₁₇	semidirect
955. #540	C₂×D₁₇	semidirect
976. #518	C₂×D₁₇	semidirect
995. #482	C₂×D₁₇	semidirect
996. #482	C₂×D₁₇	semidirect
1009. #478	C₂×D₁₇	semidirect
1010. #478	C₂×D₁₇	semidirect
1033. #459	C₂×D₁₇	semidirect
1034. #459	C₂×D₁₇	semidirect
1050. #447	C₂×D₁₇	semidirect
1061. #442	C₂×D₁₇	semidirect
1062. #442	C₂×D₁₇	semidirect
1081. C₄×D₈	C₂×D₁₇	semidirect
1082. C₄×D₈	C₂×D₁₇	semidirect
1086. #433	C₂×D₁₇	semidirect
1172. #127	C₂²×D₁₇	semidirect
1179. #125	C₂²×D₁₇	semidirect
1276. C₄×D₄	C₂²×D₁₇	semidirect
1277. C₄×D₄	C₂²×D₁₇	semidirect
1337. #107	C₂²×D₁₇	semidirect
1338. #107	C₂²×D₁₇	semidirect
1345. #106	C₂²×D₁₇	semidirect
1346. #106	C₂²×D₁₇	semidirect
1353. C₄⋊C₈	C₂²×D₁₇	semidirect
1354. C₄⋊C₈	C₂²×D₁₇	semidirect
1383. #102	C₂²×D₁₇	semidirect
1384. #102	C₂²×D₁₇	semidirect
1385. #102	C₂²×D₁₇	semidirect
1386. #102	C₂²×D₁₇	semidirect
1398. #97	C₂²×D₁₇	semidirect
1402. C₄×C₈	C₂²×D₁₇	semidirect
1403. C₁₇	#60578	semidirect

Maximal subgroups

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

subgroup	index
#14542511	2
D₁₇×#518	2
#14539023	2
#14539022	2
#14539021	2
#14538970	2
#14538968	2
#14538963	2
#14538961	2
#14538927	2
#14538920	2
#14538874	2
#14538873	2
#14538836	2
#14538829	2
#14538783	2
#14538782	2
#14538723	2
#14538696	2
#14538614	2
#14538612	2
#14538282	2
#14538008	2
D₁₇×#447	2
#14537633	2
#14537631	2
#14537613	2
#14537609	2
#14537440	2
C₁₇×#3122	2
#60578	17