Subgroups — #17900602

Order 4352.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542931	C₂	1	1	yes	maximal, characteristic
2	#14537953	C₂	1	1	yes	maximal, characteristic, complemented
3	#14537949	C₂	1	1	yes	maximal, characteristic, complemented
4	#14537946	C₂	1	1	yes	maximal, characteristic, complemented
5	#14537938	C₂	1	1	yes	maximal, characteristic, complemented
6	#14537936	C₂	1	1	yes	maximal, characteristic, complemented
7	#14537932	C₂	1	1	yes	maximal, characteristic, complemented
8	#14537927	C₂	1	1	yes	maximal, characteristic, complemented
9	#14537927	C₂	1	1	yes	maximal, characteristic, complemented
10	#14537925	C₂	1	1	yes	maximal, characteristic, complemented
11	#14537922	C₂	1	1	yes	maximal, characteristic, complemented
12	#14537887	C₂	1	1	yes	maximal, characteristic, complemented
13	#14537884	C₂	1	1	yes	maximal, characteristic, complemented
14	#14537882	C₂	1	1	yes	maximal, characteristic, complemented
15	#14537877	C₂	1	1	yes	maximal, characteristic, complemented
16	#14537787	C₂	1	1	yes	maximal, characteristic, complemented
17	#14537782	C₂	1	1	yes	maximal, characteristic, complemented
18	#14537777	C₂	1	1	yes	maximal, characteristic, complemented
19	#14537777	C₂	1	1	yes	maximal, characteristic, complemented
20	#14537776	C₂	1	1	yes	maximal, characteristic, complemented
21	#14537776	C₂	1	1	yes	maximal, characteristic, complemented
22	#14537767	C₂	1	1	yes	maximal, characteristic, complemented
23	#14537764	C₂	1	1	yes	maximal, characteristic, complemented
24	#14537758	C₂	1	1	yes	maximal, characteristic, complemented
25	#14537757	C₂	1	1	yes	maximal, characteristic, complemented
26	#14537733	C₂	1	1	yes	maximal, characteristic, complemented
27	#14537732	C₂	1	1	yes	maximal, characteristic, complemented
28	#14537720	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537720	C₂	1	1	yes	maximal, characteristic, complemented
30	#14537713	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₇⋊#564	C₄	1	1	yes	characteristic
33	#11763563	C₄	1	1	yes	characteristic
34	#11763563	C₄	1	1	yes	characteristic
35	#11763560	C₄	1	1	yes	characteristic
36	#11763560	C₄	1	1	yes	characteristic
37	#11763560	C₄	1	1	yes	characteristic
38	#11763560	C₄	1	1	yes	characteristic
39	#11763558	C₄	1	1	yes	characteristic
40	#11763558	C₄	1	1	yes	characteristic
41	#11763558	C₄	1	1	yes	characteristic
42	#11763558	C₄	1	1	yes	characteristic
43	#11763557	C₄	1	1	yes	characteristic
44	#11763555	C₄	1	1	yes	characteristic
45	#11763555	C₄	1	1	yes	characteristic
46	#11763555	C₄	1	1	yes	characteristic
47	#11763555	C₄	1	1	yes	characteristic
48	#11763363	C₂²	1	1	yes	characteristic
49	#11763363	C₂²	1	1	yes	characteristic
50	#11763363	C₂²	1	1	yes	characteristic
51	#11763363	C₂²	1	1	yes	characteristic
52	#11763346	C₂²	1	1	yes	characteristic
53	#11763346	C₂²	1	1	yes	characteristic
54	#11763346	C₂²	1	1	yes	characteristic
55	#11763346	C₂²	1	1	yes	characteristic
56	#11763343	C₂²	1	1	yes	characteristic
57	#11763343	C₂²	1	1	yes	characteristic
58	#11763337	C₂²	1	1	yes	characteristic
59	#11763337	C₂²	1	1	yes	characteristic
60	#11763337	C₂²	1	1	yes	characteristic
61	#11763337	C₂²	1	1	yes	characteristic
62	#11762940	C₂²	1	1	yes	characteristic
63	#11762940	C₂²	1	1	yes	characteristic
64	#11762940	C₂²	1	1	yes	characteristic
65	#11762940	C₂²	1	1	yes	characteristic
66	#11762940	C₂²	1	1	yes	characteristic
67	#11762940	C₂²	1	1	yes	characteristic
68	#11762939	C₂²	1	1	yes	characteristic
69	#11762939	C₂²	1	1	yes	characteristic
70	#11762938	C₂²	1	1	yes	characteristic
71	#11762938	C₂²	1	1	yes	characteristic
72	#11762938	C₂²	1	1	yes	characteristic
73	#11762938	C₂²	1	1	yes	characteristic
74	#11762938	C₂²	1	1	yes	characteristic
75	#11762938	C₂²	1	1	yes	characteristic
76	#11762937	C₂²	1	1	yes	characteristic
77	#11762937	C₂²	1	1	yes	characteristic
78	#11762937	C₂²	1	1	yes	characteristic
79	#11762937	C₂²	1	1	yes	characteristic
80	#11762937	C₂²	1	1	yes	characteristic
81	#11762937	C₂²	1	1	yes	characteristic
82	#11762936	C₂²	1	1	yes	characteristic
83	#11762936	C₂²	1	1	yes	characteristic
84	#11762936	C₂²	1	1	yes	characteristic
85	#11762936	C₂²	1	1	yes	characteristic
86	Q₈×#3622	C₂²	1	1	yes	characteristic
87	Q₈×#3622	C₂²	1	1	yes	characteristic
88	C₈×Dic₃₄	C₂²	1	1	yes	characteristic
89	C₈×Dic₃₄	C₂²	1	1	yes	characteristic
90	C₈×Dic₃₄	C₂²	1	1	yes	characteristic
91	C₈×Dic₃₄	C₂²	1	1	yes	characteristic
92	#11762933	C₂²	1	1	yes	characteristic
93	#11762933	C₂²	1	1	yes	characteristic
94	#11762888	C₂²	1	1	yes	characteristic
95	#11762888	C₂²	1	1	yes	characteristic
96	#11762888	C₂²	1	1	yes	characteristic
97	#11762888	C₂²	1	1	yes	characteristic
98	#11762886	C₂²	1	1	yes	characteristic
99	#11762886	C₂²	1	1	yes	characteristic
100	#11762884	C₂²	1	1	yes	characteristic
101	#11762884	C₂²	1	1	yes	characteristic
102	#11762884	C₂²	1	1	yes	characteristic
103	#11762884	C₂²	1	1	yes	characteristic
104	#11762883	C₂²	1	1	yes	characteristic
105	#11762883	C₂²	1	1	yes	characteristic
106	#11762883	C₂²	1	1	yes	characteristic
107	#11762883	C₂²	1	1	yes	characteristic
108	#11762882	C₂²	1	1	yes	characteristic
109	#11762882	C₂²	1	1	yes	characteristic
110	#11762882	C₂²	1	1	yes	characteristic
111	#11762882	C₂²	1	1	yes	characteristic
112	#11762882	C₂²	1	1	yes	characteristic
113	#11762882	C₂²	1	1	yes	characteristic
114	#11762879	C₂²	1	1	yes	characteristic
115	#11762879	C₂²	1	1	yes	characteristic
116	#11762879	C₂²	1	1	yes	characteristic
117	#11762879	C₂²	1	1	yes	characteristic
118	#11762879	C₂²	1	1	yes	characteristic
119	#11762879	C₂²	1	1	yes	characteristic
120	#11762877	C₂²	1	1	yes	characteristic
121	#11762877	C₂²	1	1	yes	characteristic
122	#11762877	C₂²	1	1	yes	characteristic
123	#11762877	C₂²	1	1	yes	characteristic
124	C₈×D₆₈	C₂²	1	1	yes	characteristic
125	C₈×D₆₈	C₂²	1	1	yes	characteristic
126	#11762874	C₂²	1	1	yes	characteristic
127	#11762874	C₂²	1	1	yes	characteristic
128	#11762874	C₂²	1	1	yes	characteristic
129	#11762874	C₂²	1	1	yes	characteristic
130	#11762872	C₂²	1	1	yes	characteristic
131	#11762872	C₂²	1	1	yes	characteristic
132	#11762872	C₂²	1	1	yes	characteristic
133	#11762872	C₂²	1	1	yes	characteristic
134	#11762871	C₂²	1	1	yes	characteristic
135	#11762871	C₂²	1	1	yes	characteristic
136	#11762871	C₂²	1	1	yes	characteristic
137	#11762871	C₂²	1	1	yes	characteristic
138	#11762869	C₂²	1	1	yes	characteristic
139	#11762869	C₂²	1	1	yes	characteristic
140	#11762869	C₂²	1	1	yes	characteristic
141	#11762869	C₂²	1	1	yes	characteristic
142	#11762869	C₂²	1	1	yes	characteristic
143	#11762869	C₂²	1	1	yes	characteristic
144	#11762869	C₂²	1	1	yes	characteristic
145	#11762869	C₂²	1	1	yes	characteristic
146	#11762868	C₂²	1	1	yes	characteristic
147	#11762868	C₂²	1	1	yes	characteristic
148	#11762868	C₂²	1	1	yes	characteristic
149	#11762868	C₂²	1	1	yes	characteristic
150	#11762865	C₂²	1	1	yes	characteristic
151	#11762864	C₂²	1	1	yes	characteristic
152	#11762864	C₂²	1	1	yes	characteristic
153	#11762861	C₂²	1	1	yes	characteristic
154	#11762861	C₂²	1	1	yes	characteristic
155	#11762861	C₂²	1	1	yes	characteristic
156	#11762860	C₂²	1	1	yes	characteristic
157	#11762860	C₂²	1	1	yes	characteristic
158	#11762836	C₂²	1	1	yes	characteristic
159	#11762836	C₂²	1	1	yes	characteristic
160	#11762834	C₂²	1	1	yes	characteristic
161	#11762834	C₂²	1	1	yes	characteristic
162	#11762834	C₂²	1	1	yes	characteristic
163	#11762834	C₂²	1	1	yes	characteristic
164	#11762834	C₂²	1	1	yes	characteristic
165	#11762834	C₂²	1	1	yes	characteristic
166	#11762834	C₂²	1	1	yes	characteristic
167	#11762834	C₂²	1	1	yes	characteristic
168	#11762831	C₂²	1	1	yes	characteristic
169	#11762831	C₂²	1	1	yes	characteristic
170	#11762831	C₂²	1	1	yes	characteristic
171	C₂×C₄⋊#3622	C₂²	1	1	yes	characteristic
172	C₄⋊C₈×D₁₇	C₂²	1	1	yes	characteristic
173	#11762766	C₂²	1	1	yes	characteristic
174	#11762766	C₂²	1	1	yes	characteristic
175	#11762766	C₂²	1	1	yes	characteristic
176	#11762766	C₂²	1	1	yes	characteristic
177	#11762765	C₂²	1	1	yes	characteristic
178	#11762765	C₂²	1	1	yes	characteristic
179	#11762763	C₂²	1	1	yes	characteristic
180	#11762763	C₂²	1	1	yes	characteristic
181	#11762763	C₂²	1	1	yes	characteristic
182	#11762763	C₂²	1	1	yes	characteristic
183	C₄×#63223	C₂²	1	1	yes	characteristic
184	C₄×#63218	C₂²	1	1	yes	characteristic
185	#97×D₁₇	C₂²	1	1	yes	characteristic
186	#97×D₁₇	C₂²	1	1	yes	characteristic
187	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
188	C₁₇×#533	C₂²	1	1	yes	characteristic
189	C₁₇×#446	C₂²	1	1	yes	characteristic
190	C₁₇×#446	C₂²	1	1	yes	characteristic
191	C₁₇×#446	C₂²	1	1	yes	characteristic
192	C₁₇×#446	C₂²	1	1	yes	characteristic
193	C₁₇×#446	C₂²	1	1	yes	characteristic
194	C₁₇×#446	C₂²	1	1	yes	characteristic
195	C₈×Q₈×C₁₇	C₂²	1	1	yes	characteristic
196	C₈×Q₈×C₁₇	C₂²	1	1	yes	characteristic
197	C₁₇×#433	C₂²	1	1	yes	characteristic
198	C₁₇×#433	C₂²	1	1	yes	characteristic
199	C₁₇×#433	C₂²	1	1	yes	characteristic
200	C₁₇×#433	C₂²	1	1	yes	characteristic
201	C₁₇×#432	C₂²	1	1	yes	characteristic
202	C₁₇×#431	C₂²	1	1	yes	characteristic
203	C₁₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
204	C₁₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
205	C₁₇×#125	C₂×C₄	1	1	yes	characteristic
206	C₁₇×#125	C₂×C₄	1	1	yes	characteristic
207	C₁₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
208	C₁₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
209	C₁₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
210	C₁₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
211	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
212	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
213	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
214	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic
215	C₁₇×#117	C₂³	1	1	yes	characteristic
216	C₁₇×#117	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₇	C₂³	1	1	yes	characteristic
218	#10587633	C₂×C₄	1	1	yes	characteristic
219	#10587633	C₂×C₄	1	1	yes	characteristic
220	#10587633	C₂×C₄	1	1	yes	characteristic
221	#10587633	C₂×C₄	1	1	yes	characteristic
222	#10587632	C₂×C₄	1	1	yes	characteristic
223	#10587632	C₂×C₄	1	1	yes	characteristic
224	#10587632	C₂×C₄	1	1	yes	characteristic
225	#10587632	C₂×C₄	1	1	yes	characteristic
226	#10587632	C₂×C₄	1	1	yes	characteristic
227	#10587632	C₂×C₄	1	1	yes	characteristic
228	#10587632	C₂×C₄	1	1	yes	characteristic
229	#10587632	C₂×C₄	1	1	yes	characteristic
230	#10587630	C₂×C₄	1	1	yes	characteristic
231	#10587630	C₂×C₄	1	1	yes	characteristic
232	#10587630	C₂×C₄	1	1	yes	characteristic
233	#10587630	C₂×C₄	1	1	yes	characteristic
234	#10587616	C₂×C₄	1	1	yes	characteristic
235	#10587616	C₂×C₄	1	1	yes	characteristic
236	#10587615	C₂×C₄	1	1	yes	characteristic
237	#10587615	C₂×C₄	1	1	yes	characteristic
238	#10587615	C₂×C₄	1	1	yes	characteristic
239	#10587615	C₂×C₄	1	1	yes	characteristic
240	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
241	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
242	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
243	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
244	#10587610	C₂×C₄	1	1	yes	characteristic
245	#10587610	C₂×C₄	1	1	yes	characteristic
246	C₂×#63223	C₂³	1	1	yes	characteristic
247	C₂×#63223	C₂³	1	1	yes	characteristic
248	C₂²×#3622	C₂³	1	1	yes	characteristic
249	C₂²×#3622	C₂³	1	1	yes	characteristic
250	C₂×#63218	C₂³	1	1	yes	characteristic
251	C₂×#63218	C₂³	1	1	yes	characteristic
252	C₂×#63218	C₂³	1	1	yes	characteristic
253	C₂×#63218	C₂³	1	1	yes	characteristic
254	C₂×#63218	C₂³	1	1	yes	characteristic
255	C₂×#63218	C₂³	1	1	yes	characteristic
256	C₂×#63218	C₂³	1	1	yes	characteristic
257	C₂×#63218	C₂³	1	1	yes	characteristic
258	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
259	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
260	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
261	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
262	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
263	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
264	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
265	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
266	#10587584	C₂×C₄	1	1	yes	characteristic
267	#10587584	C₂×C₄	1	1	yes	characteristic
268	#10587584	C₂×C₄	1	1	yes	characteristic
269	#10587584	C₂×C₄	1	1	yes	characteristic
270	#10587584	C₂×C₄	1	1	yes	characteristic
271	#10587584	C₂×C₄	1	1	yes	characteristic
272	#10587584	C₂×C₄	1	1	yes	characteristic
273	#10587584	C₂×C₄	1	1	yes	characteristic
274	#10587584	C₂×C₄	1	1	yes	characteristic
275	#10587584	C₂×C₄	1	1	yes	characteristic
276	#10587584	C₂×C₄	1	1	yes	characteristic
277	#10587584	C₂×C₄	1	1	yes	characteristic
278	#10587583	C₂×C₄	1	1	yes	characteristic
279	#10587583	C₂×C₄	1	1	yes	characteristic
280	#10587583	C₂×C₄	1	1	yes	characteristic
281	#10587583	C₂×C₄	1	1	yes	characteristic
282	#10587582	C₂×C₄	1	1	yes	characteristic
283	#10587582	C₂×C₄	1	1	yes	characteristic
284	#10587582	C₂×C₄	1	1	yes	characteristic
285	#10587582	C₂×C₄	1	1	yes	characteristic
286	#10587582	C₂×C₄	1	1	yes	characteristic
287	#10587582	C₂×C₄	1	1	yes	characteristic
288	#10587582	C₂×C₄	1	1	yes	characteristic
289	#10587582	C₂×C₄	1	1	yes	characteristic
290	#10587582	C₂×C₄	1	1	yes	characteristic
291	#10587582	C₂×C₄	1	1	yes	characteristic
292	#10587582	C₂×C₄	1	1	yes	characteristic
293	#10587582	C₂×C₄	1	1	yes	characteristic
294	#10587581	C₂×C₄	1	1	yes	characteristic
295	#10587581	C₂×C₄	1	1	yes	characteristic
296	#10587581	C₂×C₄	1	1	yes	characteristic
297	#10587581	C₂×C₄	1	1	yes	characteristic
298	#10587580	C₂×C₄	1	1	yes	characteristic
299	#10587580	C₂×C₄	1	1	yes	characteristic
300	#10587580	C₂×C₄	1	1	yes	characteristic
301	#10587580	C₂×C₄	1	1	yes	characteristic
302	#10587580	C₂×C₄	1	1	yes	characteristic
303	#10587580	C₂×C₄	1	1	yes	characteristic
304	#10587580	C₂×C₄	1	1	yes	characteristic
305	#10587580	C₂×C₄	1	1	yes	characteristic
306	#10587580	C₂×C₄	1	1	yes	characteristic
307	#10587580	C₂×C₄	1	1	yes	characteristic
308	#10587580	C₂×C₄	1	1	yes	characteristic
309	#10587580	C₂×C₄	1	1	yes	characteristic
310	#10587576	C₂×C₄	1	1	yes	characteristic
311	#10587576	C₂×C₄	1	1	yes	characteristic
312	#10587576	C₂×C₄	1	1	yes	characteristic
313	#10587576	C₂×C₄	1	1	yes	characteristic
314	#10587575	C₂×C₄	1	1	yes	characteristic
315	#10587575	C₂×C₄	1	1	yes	characteristic
316	#10587575	C₂×C₄	1	1	yes	characteristic
317	#10587575	C₂×C₄	1	1	yes	characteristic
318	#10587575	C₂×C₄	1	1	yes	characteristic
319	#10587575	C₂×C₄	1	1	yes	characteristic
320	#10587575	C₂×C₄	1	1	yes	characteristic
321	#10587575	C₂×C₄	1	1	yes	characteristic
322	#10587575	C₂×C₄	1	1	yes	characteristic
323	#10587575	C₂×C₄	1	1	yes	characteristic
324	#10587575	C₂×C₄	1	1	yes	characteristic
325	#10587575	C₂×C₄	1	1	yes	characteristic
326	#10587574	C₂×C₄	1	1	yes	characteristic
327	#10587574	C₂×C₄	1	1	yes	characteristic
328	#10587574	C₂×C₄	1	1	yes	characteristic
329	#10587574	C₂×C₄	1	1	yes	characteristic
330	#10587571	C₂×C₄	1	1	yes	characteristic
331	#10587571	C₂×C₄	1	1	yes	characteristic
332	#10587571	C₂×C₄	1	1	yes	characteristic
333	#10587571	C₂×C₄	1	1	yes	characteristic
334	#10587570	C₂×C₄	1	1	yes	characteristic
335	#10587570	C₂×C₄	1	1	yes	characteristic
336	#10587570	C₂×C₄	1	1	yes	characteristic
337	#10587570	C₂×C₄	1	1	yes	characteristic
338	#10587569	C₂×C₄	1	1	yes	characteristic
339	#10587569	C₂×C₄	1	1	yes	characteristic
340	#10587569	C₂×C₄	1	1	yes	characteristic
341	#10587569	C₂×C₄	1	1	yes	characteristic
342	#10587565	C₂×C₄	1	1	yes	characteristic
343	#10587565	C₂×C₄	1	1	yes	characteristic
344	#10587565	C₂×C₄	1	1	yes	characteristic
345	#10587565	C₂×C₄	1	1	yes	characteristic
346	#10587562	C₂×C₄	1	1	yes	characteristic
347	#10587562	C₂×C₄	1	1	yes	characteristic
348	#10587562	C₂×C₄	1	1	yes	characteristic
349	#10587562	C₂×C₄	1	1	yes	characteristic
350	#10587561	C₂×C₄	1	1	yes	characteristic
351	#10587561	C₂×C₄	1	1	yes	characteristic
352	C₄×D₆₈	C₂³	1	1	yes	characteristic
353	C₄×D₆₈	C₂³	1	1	yes	characteristic
354	C₄×D₆₈	C₂³	1	1	yes	characteristic
355	C₄×D₆₈	C₂³	1	1	yes	characteristic
356	C₄×D₆₈	C₂³	1	1	yes	characteristic
357	C₄×D₆₈	C₂³	1	1	yes	characteristic
358	#10587558	C₂³	1	1	yes	characteristic
359	#10587558	C₂³	1	1	yes	characteristic
360	#10587558	C₂³	1	1	yes	characteristic
361	#10587558	C₂³	1	1	yes	characteristic
362	#10587558	C₂³	1	1	yes	characteristic
363	#10587558	C₂³	1	1	yes	characteristic
364	#10587558	C₂³	1	1	yes	characteristic
365	#10587558	C₂³	1	1	yes	characteristic
366	C₄²×D₁₇	C₂³	1	1	yes	characteristic
367	C₄²×D₁₇	C₂³	1	1	yes	characteristic
368	C₄²×D₁₇	C₂³	1	1	yes	characteristic
369	C₄²×D₁₇	C₂³	1	1	yes	characteristic
370	#10587556	C₂×C₄	1	1	yes	characteristic
371	#10587556	C₂×C₄	1	1	yes	characteristic
372	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
373	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
374	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
375	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
376	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
377	C₄×Dic₃₄	C₂³	1	1	yes	characteristic
378	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
379	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
380	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
381	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
382	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
385	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
389	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
390	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
391	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
392	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
393	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
394	C₁₇×#97	C₂³	1	1	yes	characteristic
395	C₁₇×#97	C₂³	1	1	yes	characteristic
396	C₁₇×#97	C₂³	1	1	yes	characteristic
397	C₁₇×#97	C₂³	1	1	yes	characteristic
398	C₁₇×#97	C₂³	1	1	yes	characteristic
399	C₁₇×#97	C₂³	1	1	yes	characteristic
400	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
401	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
402	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
403	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
404	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
405	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic
406	#10587491	C₂³	1	1	yes	characteristic
407	#10587491	C₂³	1	1	yes	characteristic
408	#10587491	C₂³	1	1	yes	characteristic
409	#10587491	C₂³	1	1	yes	characteristic
410	#10587491	C₂³	1	1	yes	characteristic
411	#10587491	C₂³	1	1	yes	characteristic
412	#10587491	C₂³	1	1	yes	characteristic
413	#10587491	C₂³	1	1	yes	characteristic
414	#10587491	C₂³	1	1	yes	characteristic
415	#10587491	C₂³	1	1	yes	characteristic
416	#10587491	C₂³	1	1	yes	characteristic
417	#10587491	C₂³	1	1	yes	characteristic
418	#10587491	C₂³	1	1	yes	characteristic
419	#10587491	C₂³	1	1	yes	characteristic
420	#10587491	C₂³	1	1	yes	characteristic
421	#10587491	C₂³	1	1	yes	characteristic
422	#10587486	C₂³	1	1	yes	characteristic
423	#10587486	C₂³	1	1	yes	characteristic
424	#10587486	C₂³	1	1	yes	characteristic
425	#10587486	C₂³	1	1	yes	characteristic
426	#10587486	C₂³	1	1	yes	characteristic
427	#10587486	C₂³	1	1	yes	characteristic
428	#10587486	C₂³	1	1	yes	characteristic
429	#10587486	C₂³	1	1	yes	characteristic
430	#10587485	C₂³	1	1	yes	characteristic
431	#10587485	C₂³	1	1	yes	characteristic
432	#10587485	C₂³	1	1	yes	characteristic
433	#10587485	C₂³	1	1	yes	characteristic
434	#10587485	C₂³	1	1	yes	characteristic
435	#10587485	C₂³	1	1	yes	characteristic
436	#10587485	C₂³	1	1	yes	characteristic
437	#10587485	C₂³	1	1	yes	characteristic
438	#10587485	C₂³	1	1	yes	characteristic
439	#10587485	C₂³	1	1	yes	characteristic
440	#10587485	C₂³	1	1	yes	characteristic
441	#10587485	C₂³	1	1	yes	characteristic
442	#10587485	C₂³	1	1	yes	characteristic
443	#10587485	C₂³	1	1	yes	characteristic
444	#10587485	C₂³	1	1	yes	characteristic
445	#10587485	C₂³	1	1	yes	characteristic
446	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
447	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
448	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
449	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
451	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
452	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
453	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
454	C₄⋊#3622	C₂³	1	1	yes	characteristic
455	C₄⋊#3622	C₂³	1	1	yes	characteristic
456	C₄⋊#3622	C₂³	1	1	yes	characteristic
457	C₄⋊#3622	C₂³	1	1	yes	characteristic
458	C₄⋊#3622	C₂³	1	1	yes	characteristic
459	C₄⋊#3622	C₂³	1	1	yes	characteristic
460	C₄⋊#3622	C₂³	1	1	yes	characteristic
461	C₄⋊#3622	C₂³	1	1	yes	characteristic
462	C₄⋊#3622	C₂³	1	1	yes	characteristic
463	C₄⋊#3622	C₂³	1	1	yes	characteristic
464	C₄⋊#3622	C₂³	1	1	yes	characteristic
465	C₄⋊#3622	C₂³	1	1	yes	characteristic
466	#10587474	C₂³	1	1	yes	characteristic
467	#10587474	C₂³	1	1	yes	characteristic
468	#10587474	C₂³	1	1	yes	characteristic
469	#10587474	C₂³	1	1	yes	characteristic
470	#10587474	C₂³	1	1	yes	characteristic
471	#10587474	C₂³	1	1	yes	characteristic
472	C₄×#3622	C₂³	1	1	yes	characteristic
473	C₄×#3622	C₂³	1	1	yes	characteristic
474	C₄×#3622	C₂³	1	1	yes	characteristic
475	C₄×#3622	C₂³	1	1	yes	characteristic
476	C₄×#3622	C₂³	1	1	yes	characteristic
477	C₄×#3622	C₂³	1	1	yes	characteristic
478	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
479	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
480	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
481	C₂×Q₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
482	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
484	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
485	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₂²⋊D₁₇	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
494	C₂×D₆₈	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
504	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
505	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
506	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
507	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
508	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
509	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
510	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
511	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
512	C₂×Dic₃₄	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
515	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
516	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
518	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
519	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
521	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
522	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
523	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
524	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
525	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
526	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
527	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
528	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
529	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
530	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
531	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
532	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
533	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
534	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
535	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
536	C₄⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
537	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
538	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
539	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
540	C₂²⋊C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
541	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
542	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
543	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
544	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
545	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
546	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
547	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
548	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
549	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
550	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
551	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
552	C₂²⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
553	#63227	C₂²×C₄	1	1	yes	characteristic
554	#63227	C₂²×C₄	1	1	yes	characteristic
555	#63227	C₂²×C₄	1	1	yes	characteristic
556	#63227	C₂²×C₄	1	1	yes	characteristic
557	#63227	C₂²×C₄	1	1	yes	characteristic
558	#63227	C₂²×C₄	1	1	yes	characteristic
559	#63227	C₂²×C₄	1	1	yes	characteristic
560	#63227	C₂²×C₄	1	1	yes	characteristic
561	#63227	C₂²×C₄	1	1	yes	characteristic
562	#63227	C₂²×C₄	1	1	yes	characteristic
563	#63227	C₂²×C₄	1	1	yes	characteristic
564	#63227	C₂²×C₄	1	1	yes	characteristic
565	#63227	C₂²×C₄	1	1	yes	characteristic
566	#63227	C₂²×C₄	1	1	yes	characteristic
567	#63227	C₂²×C₄	1	1	yes	characteristic
568	#63227	C₂²×C₄	1	1	yes	characteristic
569	#63227	C₂²×C₄	1	1	yes	characteristic
570	#63227	C₂²×C₄	1	1	yes	characteristic
571	#63227	C₂²×C₄	1	1	yes	characteristic
572	#63227	C₂²×C₄	1	1	yes	characteristic
573	#63227	C₂²×C₄	1	1	yes	characteristic
574	#63227	C₂²×C₄	1	1	yes	characteristic
575	#63227	C₂²×C₄	1	1	yes	characteristic
576	#63227	C₂²×C₄	1	1	yes	characteristic
577	#63227	C₂²×C₄	1	1	yes	characteristic
578	#63227	C₂²×C₄	1	1	yes	characteristic
579	#63227	C₂²×C₄	1	1	yes	characteristic
580	#63227	C₂²×C₄	1	1	yes	characteristic
581	#63227	C₂²×C₄	1	1	yes	characteristic
582	#63227	C₂²×C₄	1	1	yes	characteristic
583	#63227	C₂²×C₄	1	1	yes	characteristic
584	#63227	C₂²×C₄	1	1	yes	characteristic
585	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊Dic₁₇	C₂²×C₄	1	1	yes	characteristic
597	#63225	C₂²×C₄	1	1	yes	characteristic
598	#63225	C₂²×C₄	1	1	yes	characteristic
599	#63225	C₂²×C₄	1	1	yes	characteristic
600	#63225	C₂²×C₄	1	1	yes	characteristic
601	#63225	C₂²×C₄	1	1	yes	characteristic
602	#63225	C₂²×C₄	1	1	yes	characteristic
603	#63225	C₂²×C₄	1	1	yes	characteristic
604	#63225	C₂²×C₄	1	1	yes	characteristic
605	#63225	C₂²×C₄	1	1	yes	characteristic
606	#63225	C₂²×C₄	1	1	yes	characteristic
607	#63225	C₂²×C₄	1	1	yes	characteristic
608	#63225	C₂²×C₄	1	1	yes	characteristic
609	#63225	C₂²×C₄	1	1	yes	characteristic
610	#63225	C₂²×C₄	1	1	yes	characteristic
611	#63225	C₂²×C₄	1	1	yes	characteristic
612	#63225	C₂²×C₄	1	1	yes	characteristic
613	#63225	C₂²×C₄	1	1	yes	characteristic
614	#63225	C₂²×C₄	1	1	yes	characteristic
615	#63225	C₂²×C₄	1	1	yes	characteristic
616	#63225	C₂²×C₄	1	1	yes	characteristic
617	#63225	C₂²×C₄	1	1	yes	characteristic
618	#63225	C₂²×C₄	1	1	yes	characteristic
619	#63225	C₂²×C₄	1	1	yes	characteristic
620	#63225	C₂²×C₄	1	1	yes	characteristic
621	#63225	C₂²×C₄	1	1	yes	characteristic
622	#63225	C₂²×C₄	1	1	yes	characteristic
623	#63225	C₂²×C₄	1	1	yes	characteristic
624	#63225	C₂²×C₄	1	1	yes	characteristic
625	#63225	C₂²×C₄	1	1	yes	characteristic
626	#63225	C₂²×C₄	1	1	yes	characteristic
627	#63225	C₂²×C₄	1	1	yes	characteristic
628	#63225	C₂²×C₄	1	1	yes	characteristic
629	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
630	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
631	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
632	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
633	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
634	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
635	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
636	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
637	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
638	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
639	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
640	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
641	#63223	—	2	2	no	—
642	#63223	—	4	1	no	—
643	C₂×#3622	—	4	1	no	—
644	C₂×#3622	—	4	1	no	—
645	C₂×#3622	C₂⁴	1	1	yes	characteristic
646	C₂×#3622	C₂⁴	1	1	yes	characteristic
647	C₂×#3622	C₂⁴	1	1	yes	characteristic
648	C₂×#3622	C₂⁴	1	1	yes	characteristic
649	C₂×#3622	C₂⁴	1	1	yes	characteristic
650	C₂×#3622	C₂⁴	1	1	yes	characteristic
651	C₂×#3622	C₂⁴	1	1	yes	characteristic
652	C₂×#3622	C₂⁴	1	1	yes	characteristic
653	#63218	—	2	2	no	—
654	#63218	—	4	1	no	—
655	#63218	—	4	1	no	—
656	#63218	—	4	1	no	—
657	#63218	—	4	1	no	—
658	#63218	—	4	1	no	—
659	#63218	—	4	1	no	—
660	#63218	—	4	1	no	—
661	C₈×D₁₇	—	2	2	no	—
662	C₈×D₁₇	—	2	2	no	—
663	C₈×D₁₇	—	2	2	no	—
664	C₈×D₁₇	—	4	1	no	—
665	C₈×D₁₇	—	4	1	no	—
666	C₈×D₁₇	—	4	1	no	—
667	C₈×D₁₇	—	4	1	no	—
668	C₈×D₁₇	—	4	1	no	—
669	#60346	—	17	1	no	maximal, Sylow
670	C₂³×C₁₇	C₂³×C₄	1	1	yes	characteristic
671	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
672	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
673	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
674	C₂²×D₁₇	C₂³×C₄	1	1	yes	characteristic
675	Q₈×C₁₇	—	4	1	no	—
676	Q₈×C₁₇	—	4	1	no	—
677	Q₈×C₁₇	—	4	1	no	—
678	Q₈×C₁₇	—	4	1	no	—
679	C₂×C₄×C₁₇	—	2	1	no	—
680	C₂×C₄×C₁₇	—	2	1	no	—
681	C₂×C₄×C₁₇	—	4	1	no	—
682	C₂×C₄×C₁₇	—	4	1	no	—
683	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
684	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
685	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
686	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
687	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
688	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
696	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
697	C₂²⋊D₁₇	—	4	1	no	—
698	C₂²⋊D₁₇	—	4	1	no	—
699	C₂²⋊D₁₇	—	4	1	no	—
700	C₂²⋊D₁₇	—	4	1	no	—
701	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
704	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
707	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
708	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
709	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
710	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
711	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
712	C₂×Dic₁₇	C₂³×C₄	1	1	yes	characteristic
713	D₆₈	—	4	1	no	—
714	D₆₈	—	4	1	no	—
715	D₆₈	—	4	1	no	—
716	D₆₈	—	4	1	no	—
717	D₆₈	—	4	1	no	—
718	D₆₈	—	4	1	no	—
719	C₄×D₁₇	—	2	1	no	—
720	C₄×D₁₇	—	2	1	no	—
721	C₄×D₁₇	—	2	1	no	—
722	C₄×D₁₇	—	2	1	no	—
723	C₄×D₁₇	—	2	1	no	—
724	C₄×D₁₇	—	2	1	no	—
725	C₄×D₁₇	—	2	1	no	—
726	C₄×D₁₇	—	2	1	no	—
727	C₄×D₁₇	—	4	1	no	—
728	C₄×D₁₇	—	4	1	no	—
729	C₄×D₁₇	—	4	1	no	—
730	C₄×D₁₇	—	4	1	no	—
731	C₄×D₁₇	—	4	1	no	—
732	C₄×D₁₇	—	4	1	no	—
733	C₄×D₁₇	—	4	1	no	—
734	C₄×D₁₇	—	4	1	no	—
735	Dic₃₄	—	4	1	no	—
736	Dic₃₄	—	4	1	no	—
737	Dic₃₄	—	4	1	no	—
738	Dic₃₄	—	4	1	no	—
739	Dic₃₄	—	4	1	no	—
740	Dic₃₄	—	4	1	no	—
741	C₈×C₁₇	—	2	1	no	—
742	C₈×C₁₇	—	2	1	no	—
743	C₈×C₁₇	—	2	1	no	—
744	C₈×C₁₇	—	2	1	no	—
745	C₈×C₁₇	—	2	1	no	—
746	C₈×C₁₇	—	2	1	no	—
747	C₈×C₁₇	—	2	1	no	—
748	C₈×C₁₇	—	2	1	no	—
749	#3622	—	2	1	no	—
750	#3622	—	2	1	no	—
751	#3622	—	2	1	no	—
752	#3622	—	2	1	no	—
753	#3622	—	2	1	no	—
754	#3622	—	2	1	no	—
755	#3622	—	2	1	no	—
756	#3622	2₋¹⁺⁴	1	2	yes	—
757	#3531	—	17	1	no	—
758	#2995	—	17	1	no	—
759	#2995	—	17	1	no	—
760	#2994	—	17	1	no	—
761	#2994	—	17	1	no	—
762	#2993	—	17	1	no	—
763	#2993	—	17	1	no	—
764	#2993	—	17	1	no	—
765	#2993	—	17	1	no	—
766	#2992	—	17	1	no	—
767	#2992	—	17	1	no	—
768	#2987	—	17	1	no	—
769	#2986	—	17	1	no	—
770	#2986	—	17	1	no	—
771	#2985	—	17	1	no	—
772	#2985	D₁₇	1	1	yes	characteristic, complemented
773	#2969	—	17	1	no	—
774	#2969	—	17	1	no	—
775	#2968	—	17	1	no	—
776	#2968	—	17	1	no	—
777	#2968	—	17	1	no	—
778	#2968	—	17	1	no	—
779	#2967	—	17	1	no	—
780	#2967	—	17	1	no	—
781	#2966	—	17	1	no	—
782	#2966	—	17	1	no	—
783	#2962	—	17	1	no	—
784	#2962	—	17	1	no	—
785	#2961	—	17	1	no	—
786	#2961	—	17	1	no	—
787	#2960	—	17	1	no	—
788	C₂²×C₁₇	—	2	1	no	—
789	C₂²×C₁₇	—	2	1	no	—
790	C₂²×C₁₇	—	2	1	no	—
791	C₂²×C₁₇	C₂⁴×C₄	1	1	yes	characteristic
792	C₂×D₁₇	—	2	1	no	—
793	C₂×D₁₇	—	2	1	no	—
794	C₂×D₁₇	—	2	1	no	—
795	C₂×D₁₇	—	2	1	no	—
796	C₂×D₁₇	—	2	1	no	—
797	C₂×D₁₇	—	2	1	no	—
798	C₂×D₁₇	—	2	1	no	—
799	C₂×D₁₇	—	2	1	no	—
800	C₂×D₁₇	—	2	1	no	—
801	C₂×D₁₇	—	2	1	no	—
802	C₂×D₁₇	—	2	1	no	—
803	C₂×D₁₇	—	2	1	no	—
804	C₄×C₁₇	—	2	1	no	—
805	C₄×C₁₇	—	2	1	no	—
806	C₄×C₁₇	—	2	1	no	—
807	C₄×C₁₇	—	2	1	no	—
808	C₄×C₁₇	—	2	1	no	—
809	C₄×C₁₇	—	2	1	no	—
810	C₄×C₁₇	—	2	1	no	—
811	C₄×C₁₇	—	2	1	no	—
812	C₄×C₁₇	—	2	1	no	—
813	C₄×C₁₇	—	2	1	no	—
814	C₄×C₁₇	—	2	1	no	—
815	C₄×C₁₇	—	2	1	no	—
816	C₄×C₁₇	—	2	1	no	—
817	C₄×C₁₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
818	C₄×C₁₇	#585	1	1	yes	characteristic
819	Dic₁₇	—	2	1	no	—
820	Dic₁₇	—	2	1	no	—
821	Dic₁₇	—	2	1	no	—
822	Dic₁₇	—	2	1	no	—
823	Dic₁₇	—	2	1	no	—
824	Dic₁₇	—	2	1	no	—
825	Dic₁₇	—	2	1	no	—
826	Dic₁₇	—	2	1	no	—
827	Dic₁₇	—	2	1	no	—
828	Dic₁₇	—	2	1	no	—
829	Dic₁₇	—	2	1	no	—
830	Dic₁₇	—	2	1	no	—
831	#564	—	17	1	no	—
832	#563	—	17	1	no	—
833	#563	—	17	1	no	—
834	#563	—	17	1	no	—
835	#563	—	17	1	no	—
836	#563	—	17	1	no	—
837	#563	—	17	1	no	—
838	#563	—	17	1	no	—
839	#563	—	17	1	no	—
840	#563	—	17	1	no	—
841	#563	—	17	1	no	—
842	#562	—	17	1	no	—
843	#562	—	17	1	no	—
844	#562	—	17	1	no	—
845	#562	—	17	1	no	—
846	#562	—	17	1	no	—
847	#533	—	17	1	no	—
848	#533	—	17	1	no	—
849	#533	—	17	1	no	—
850	#533	—	17	1	no	—
851	#533	C₂×D₁₇	1	1	yes	characteristic
852	#529	—	17	1	no	—
853	#529	—	17	1	no	—
854	#529	—	17	1	no	—
855	#529	—	17	1	no	—
856	#529	—	17	1	no	—
857	#529	—	17	1	no	—
858	#529	—	17	1	no	—
859	#529	—	17	1	no	—
860	#529	—	17	1	no	—
861	#529	—	17	1	no	—
862	#446	—	17	1	no	—
863	#446	—	17	1	no	—
864	#446	—	17	1	no	—
865	#446	—	17	1	no	—
866	#446	—	17	1	no	—
867	#446	—	17	1	no	—
868	#446	—	17	1	no	—
869	#446	—	17	1	no	—
870	#446	—	17	1	no	—
871	#446	—	17	1	no	—
872	#446	—	17	1	no	—
873	#446	—	17	1	no	—
874	#446	—	17	1	no	—
875	#446	—	17	1	no	—
876	#446	—	17	1	no	—
877	#446	—	17	1	no	—
878	#446	—	17	1	no	—
879	#446	—	17	1	no	—
880	#446	—	17	1	no	—
881	#446	—	17	1	no	—
882	#446	—	17	1	no	—
883	#446	—	17	1	no	—
884	#446	—	17	1	no	—
885	#446	—	17	1	no	—
886	#446	C₂×D₁₇	1	1	yes	characteristic
887	#446	C₂×D₁₇	1	1	yes	characteristic
888	#446	C₂×D₁₇	1	1	yes	characteristic
889	#446	C₂×D₁₇	1	1	yes	characteristic
890	#446	C₂×D₁₇	1	1	yes	characteristic
891	#446	C₂×D₁₇	1	1	yes	characteristic
892	C₈×Q₈	—	17	1	no	—
893	C₈×Q₈	—	17	1	no	—
894	C₈×Q₈	—	17	1	no	—
895	C₈×Q₈	—	17	1	no	—
896	C₈×Q₈	—	17	1	no	—
897	C₈×Q₈	—	17	1	no	—
898	C₈×Q₈	—	17	1	no	—
899	C₈×Q₈	—	17	1	no	—
900	C₈×Q₈	C₂×D₁₇	1	1	yes	characteristic
901	C₈×Q₈	C₂×D₁₇	1	1	yes	characteristic
902	#436	—	17	1	no	—
903	#436	—	17	1	no	—
904	#436	—	17	1	no	—
905	#436	—	17	1	no	—
906	#436	—	17	1	no	—
907	#436	—	17	1	no	—
908	#436	—	17	1	no	—
909	#436	—	17	1	no	—
910	#436	—	17	1	no	—
911	#436	—	17	1	no	—
912	#435	—	17	1	no	—
913	#435	—	17	1	no	—
914	#435	—	17	1	no	—
915	#435	—	17	1	no	—
916	#435	—	17	1	no	—
917	#435	—	17	1	no	—
918	#435	—	17	1	no	—
919	#435	—	17	1	no	—
920	#435	—	17	1	no	—
921	#435	—	17	1	no	—
922	#435	—	17	1	no	—
923	#435	—	17	1	no	—
924	#435	—	17	1	no	—
925	#435	—	17	1	no	—
926	#435	—	17	1	no	—
927	#435	—	17	1	no	—
928	#435	—	17	1	no	—
929	#435	—	17	1	no	—
930	#435	—	17	1	no	—
931	#435	—	17	1	no	—
932	C₈×D₄	—	17	1	no	—
933	C₈×D₄	—	17	1	no	—
934	C₈×D₄	—	17	1	no	—
935	C₈×D₄	—	17	1	no	—
936	C₈×D₄	—	17	1	no	—
937	C₈×D₄	—	17	1	no	—
938	C₈×D₄	—	17	1	no	—
939	C₈×D₄	—	17	1	no	—
940	C₈×D₄	—	17	1	no	—
941	C₈×D₄	—	17	1	no	—
942	#433	—	17	1	no	—
943	#433	—	17	1	no	—
944	#433	—	17	1	no	—
945	#433	—	17	1	no	—
946	#433	—	17	1	no	—
947	#433	—	17	1	no	—
948	#433	—	17	1	no	—
949	#433	—	17	1	no	—
950	#433	—	17	1	no	—
951	#433	—	17	1	no	—
952	#433	—	17	1	no	—
953	#433	—	17	1	no	—
954	#433	—	17	1	no	—
955	#433	—	17	1	no	—
956	#433	—	17	1	no	—
957	#433	—	17	1	no	—
958	#433	C₂×D₁₇	1	1	yes	characteristic
959	#433	C₂×D₁₇	1	1	yes	characteristic
960	#433	C₂×D₁₇	1	1	yes	characteristic
961	#433	C₂×D₁₇	1	1	yes	characteristic
962	#432	—	17	1	no	—
963	#432	—	17	1	no	—
964	#432	—	17	1	no	—
965	#432	C₂×D₁₇	1	1	yes	characteristic
966	#431	—	17	1	no	—
967	#431	—	17	1	no	—
968	#431	—	17	1	no	—
969	#431	—	17	1	no	—
970	#431	—	17	1	no	—
971	#431	C₂×D₁₇	1	1	yes	characteristic
972	#424	—	17	1	no	—
973	#424	—	17	1	no	—
974	#424	—	17	1	no	—
975	#424	—	17	1	no	—
976	#424	—	17	1	no	—
977	#424	—	17	1	no	—
978	#424	—	17	1	no	—
979	#424	—	17	1	no	—
980	#424	—	17	1	no	—
981	#424	—	17	1	no	—
982	#423	—	17	1	no	—
983	#423	—	17	1	no	—
984	#423	—	17	1	no	—
985	C₂×C₄⋊C₈	—	17	1	no	—
986	C₂×C₄⋊C₈	—	17	1	no	—
987	#405	—	17	1	no	—
988	#405	—	17	1	no	—
989	#405	—	17	1	no	—
990	#405	—	17	1	no	—
991	#405	—	17	1	no	—
992	#405	—	17	1	no	—
993	#405	—	17	1	no	—
994	#405	—	17	1	no	—
995	#405	—	17	1	no	—
996	#405	—	17	1	no	—
997	C₄×M₁₆	—	17	1	no	—
998	C₄×M₁₆	—	17	1	no	—
999	C₂×#97	—	17	1	no	—
1000	C₂×#97	—	17	1	no	—
1001	C₂×C₄×C₈	—	17	1	no	—
1002	C₂×C₁₇	—	4	1	no	—
1003	C₂×C₁₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1004	C₂×C₁₇	#3573	1	1	yes	characteristic
1005	C₂×C₁₇	#3573	1	1	yes	characteristic
1006	D₁₇	—	4	1	no	—
1007	D₁₇	—	4	1	no	—
1008	D₁₇	—	4	1	no	—
1009	D₁₇	—	4	1	no	—
1010	C₂×M₁₆	—	17	1	no	—
1011	C₂×M₁₆	—	17	1	no	—
1012	C₂×M₁₆	—	17	1	no	—
1013	C₂×M₁₆	—	17	1	no	—
1014	C₂×M₁₆	—	17	1	no	—
1015	C₂×M₁₆	—	17	1	no	—
1016	C₂×M₁₆	—	17	1	no	—
1017	C₂×M₁₆	—	17	1	no	—
1018	C₂×M₁₆	—	17	1	no	—
1019	C₂×M₁₆	—	17	1	no	—
1020	C₂²×C₈	—	17	1	no	—
1021	C₂²×C₈	—	17	1	no	—
1022	C₂²×C₈	—	17	1	no	—
1023	C₂²×C₈	—	17	1	no	—
1024	C₂²×C₈	—	17	1	no	—
1025	C₂²×C₈	—	17	1	no	—
1026	C₂²×C₈	—	17	1	no	—
1027	C₂²×C₈	—	17	1	no	—
1028	C₂²×C₈	—	17	1	no	—
1029	C₂²×C₈	—	17	1	no	—
1030	C₄⋊Q₈	—	17	1	no	—
1031	C₄⋊Q₈	—	17	1	no	—
1032	C₄⋊Q₈	—	17	1	no	—
1033	C₄⋊Q₈	—	17	1	no	—
1034	C₄⋊Q₈	—	17	1	no	—
1035	C₄⋊Q₈	—	17	1	no	—
1036	C₄⋊Q₈	—	17	1	no	—
1037	C₄⋊Q₈	—	17	1	no	—
1038	C₄⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1039	C₄⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1040	#126	—	17	1	no	—
1041	#126	—	17	1	no	—
1042	#126	—	17	1	no	—
1043	#126	—	17	1	no	—
1044	#126	—	17	1	no	—
1045	#126	—	17	1	no	—
1046	#126	—	17	1	no	—
1047	#126	—	17	1	no	—
1048	#126	—	17	1	no	—
1049	#126	—	17	1	no	—
1050	#126	—	17	1	no	—
1051	#126	—	17	1	no	—
1052	#126	—	17	1	no	—
1053	#126	—	17	1	no	—
1054	#126	—	17	1	no	—
1055	#126	—	17	1	no	—
1056	#126	—	17	1	no	—
1057	#126	—	17	1	no	—
1058	#126	—	17	1	no	—
1059	#126	—	17	1	no	—
1060	#125	—	17	1	no	—
1061	#125	—	17	1	no	—
1062	#125	—	17	1	no	—
1063	#125	—	17	1	no	—
1064	#125	—	17	1	no	—
1065	#125	—	17	1	no	—
1066	#125	—	17	1	no	—
1067	#125	—	17	1	no	—
1068	#125	—	17	1	no	—
1069	#125	—	17	1	no	—
1070	#125	—	17	1	no	—
1071	#125	—	17	1	no	—
1072	#125	—	17	1	no	—
1073	#125	—	17	1	no	—
1074	#125	—	17	1	no	—
1075	#125	—	17	1	no	—
1076	#125	—	17	1	no	—
1077	#125	—	17	1	no	—
1078	#125	C₄×D₁₇	1	1	yes	characteristic
1079	#125	C₄×D₁₇	1	1	yes	characteristic
1080	#124	—	17	1	no	—
1081	#124	—	17	1	no	—
1082	#124	—	17	1	no	—
1083	#124	—	17	1	no	—
1084	#124	—	17	1	no	—
1085	#124	—	17	1	no	—
1086	#124	—	17	1	no	—
1087	#124	—	17	1	no	—
1088	#124	—	17	1	no	—
1089	#124	—	17	1	no	—
1090	#123	—	17	1	no	—
1091	#123	—	17	1	no	—
1092	#123	—	17	1	no	—
1093	#123	—	17	1	no	—
1094	#123	—	17	1	no	—
1095	#123	—	17	1	no	—
1096	#123	—	17	1	no	—
1097	#123	—	17	1	no	—
1098	#123	—	17	1	no	—
1099	#123	—	17	1	no	—
1100	#123	—	17	1	no	—
1101	#123	—	17	1	no	—
1102	#123	—	17	1	no	—
1103	#123	—	17	1	no	—
1104	#123	—	17	1	no	—
1105	#123	—	17	1	no	—
1106	#123	—	17	1	no	—
1107	#123	—	17	1	no	—
1108	#123	—	17	1	no	—
1109	#123	—	17	1	no	—
1110	C₂²⋊Q₈	—	17	1	no	—
1111	C₂²⋊Q₈	—	17	1	no	—
1112	C₂²⋊Q₈	—	17	1	no	—
1113	C₂²⋊Q₈	—	17	1	no	—
1114	C₂²⋊Q₈	—	17	1	no	—
1115	C₂²⋊Q₈	—	17	1	no	—
1116	C₂²⋊Q₈	—	17	1	no	—
1117	C₂²⋊Q₈	—	17	1	no	—
1118	C₂²⋊Q₈	—	17	1	no	—
1119	C₂²⋊Q₈	—	17	1	no	—
1120	C₂²⋊Q₈	—	17	1	no	—
1121	C₂²⋊Q₈	—	17	1	no	—
1122	C₂²⋊Q₈	—	17	1	no	—
1123	C₂²⋊Q₈	—	17	1	no	—
1124	C₂²⋊Q₈	—	17	1	no	—
1125	C₂²⋊Q₈	—	17	1	no	—
1126	C₂²⋊Q₈	—	17	1	no	—
1127	C₂²⋊Q₈	—	17	1	no	—
1128	C₂²⋊Q₈	—	17	1	no	—
1129	C₂²⋊Q₈	—	17	1	no	—
1130	C₂²⋊Q₈	—	17	1	no	—
1131	C₂²⋊Q₈	—	17	1	no	—
1132	C₂²⋊Q₈	—	17	1	no	—
1133	C₂²⋊Q₈	—	17	1	no	—
1134	C₂²⋊Q₈	—	17	1	no	—
1135	C₂²⋊Q₈	—	17	1	no	—
1136	C₂²⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1137	C₂²⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₄×D₁₇	1	1	yes	characteristic
1140	#121	—	17	1	no	—
1141	#121	—	17	1	no	—
1142	#121	—	17	1	no	—
1143	#121	—	17	1	no	—
1144	#121	—	17	1	no	—
1145	#121	—	17	1	no	—
1146	#121	—	17	1	no	—
1147	#121	—	17	1	no	—
1148	#121	—	17	1	no	—
1149	#121	—	17	1	no	—
1150	C₄×Q₈	—	17	1	no	—
1151	C₄×Q₈	—	17	1	no	—
1152	C₄×Q₈	—	17	1	no	—
1153	C₄×Q₈	—	17	1	no	—
1154	C₄×Q₈	—	17	1	no	—
1155	C₄×Q₈	—	17	1	no	—
1156	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1157	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1158	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1159	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic
1160	C₄×D₄	—	17	1	no	—
1161	C₄×D₄	—	17	1	no	—
1162	C₄×D₄	—	17	1	no	—
1163	C₄×D₄	—	17	1	no	—
1164	C₄×D₄	—	17	1	no	—
1165	C₄×D₄	—	17	1	no	—
1166	C₄×D₄	—	17	1	no	—
1167	C₄×D₄	—	17	1	no	—
1168	C₄×D₄	—	17	1	no	—
1169	C₄×D₄	—	17	1	no	—
1170	#117	—	17	1	no	—
1171	#117	—	17	1	no	—
1172	#117	—	17	1	no	—
1173	#117	—	17	1	no	—
1174	#117	—	17	1	no	—
1175	#117	—	17	1	no	—
1176	#117	—	17	1	no	—
1177	#117	—	17	1	no	—
1178	#117	C₂²×D₁₇	1	1	yes	characteristic
1179	#117	C₂²×D₁₇	1	1	yes	characteristic
1180	C₂×C₄²	—	17	1	no	—
1181	C₂×C₄²	—	17	1	no	—
1182	C₂×C₄²	—	17	1	no	—
1183	C₂×C₄²	—	17	1	no	—
1184	C₂×C₄²	C₂²×D₁₇	1	1	yes	characteristic
1185	C₄⋊C₈	—	17	1	no	—
1186	C₄⋊C₈	—	17	1	no	—
1187	C₄⋊C₈	—	17	1	no	—
1188	C₄⋊C₈	—	17	1	no	—
1189	C₄⋊C₈	—	17	1	no	—
1190	C₄⋊C₈	—	17	1	no	—
1191	C₄⋊C₈	—	17	1	no	—
1192	C₄⋊C₈	—	17	1	no	—
1193	C₄⋊C₈	—	17	1	no	—
1194	C₄⋊C₈	—	17	1	no	—
1195	C₄⋊C₈	—	17	1	no	—
1196	C₄⋊C₈	—	17	1	no	—
1197	C₄⋊C₈	—	17	1	no	—
1198	C₄⋊C₈	—	17	1	no	—
1199	C₄⋊C₈	—	17	1	no	—
1200	C₄⋊C₈	—	17	1	no	—
1201	C₄⋊C₈	—	17	1	no	—
1202	C₄⋊C₈	—	17	1	no	—
1203	C₄⋊C₈	—	17	1	no	—
1204	C₄⋊C₈	—	17	1	no	—
1205	C₄⋊C₈	—	17	1	no	—
1206	C₄⋊C₈	—	17	1	no	—
1207	C₄⋊C₈	—	17	1	no	—
1208	C₄⋊C₈	—	17	1	no	—
1209	C₄⋊C₈	—	17	1	no	—
1210	C₄⋊C₈	—	17	1	no	—
1211	C₄⋊C₈	—	17	1	no	—
1212	C₄⋊C₈	—	17	1	no	—
1213	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1215	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1216	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1217	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1219	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1220	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1221	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1222	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1223	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1224	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1225	C₂²⋊C₈	—	17	1	no	—
1226	C₂²⋊C₈	—	17	1	no	—
1227	C₂²⋊C₈	—	17	1	no	—
1228	C₂²⋊C₈	—	17	1	no	—
1229	C₂²⋊C₈	—	17	1	no	—
1230	C₂²⋊C₈	—	17	1	no	—
1231	C₂²⋊C₈	—	17	1	no	—
1232	C₂²⋊C₈	—	17	1	no	—
1233	C₂²⋊C₈	—	17	1	no	—
1234	C₂²⋊C₈	—	17	1	no	—
1235	C₂²⋊C₈	—	17	1	no	—
1236	C₂²⋊C₈	—	17	1	no	—
1237	C₂²⋊C₈	—	17	1	no	—
1238	C₂²⋊C₈	—	17	1	no	—
1239	C₂²⋊C₈	—	17	1	no	—
1240	C₂²⋊C₈	—	17	1	no	—
1241	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1242	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1244	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1245	#97	—	17	1	no	—
1246	#97	—	17	1	no	—
1247	#97	—	17	1	no	—
1248	#97	—	17	1	no	—
1249	#97	—	17	1	no	—
1250	#97	—	17	1	no	—
1251	#97	—	17	1	no	—
1252	#97	—	17	1	no	—
1253	#97	—	17	1	no	—
1254	#97	—	17	1	no	—
1255	#97	—	17	1	no	—
1256	#97	—	17	1	no	—
1257	#97	—	17	1	no	—
1258	#97	—	17	1	no	—
1259	#97	C₂²×D₁₇	1	1	yes	characteristic
1260	#97	C₂²×D₁₇	1	1	yes	characteristic
1261	#97	C₂²×D₁₇	1	1	yes	characteristic
1262	#97	C₂²×D₁₇	1	1	yes	characteristic
1263	#97	C₂²×D₁₇	1	1	yes	characteristic
1264	#97	C₂²×D₁₇	1	1	yes	characteristic
1265	C₄×C₈	—	17	1	no	—
1266	C₄×C₈	—	17	1	no	—
1267	C₄×C₈	—	17	1	no	—
1268	C₄×C₈	—	17	1	no	—
1269	C₄×C₈	—	17	1	no	—
1270	C₄×C₈	—	17	1	no	—
1271	C₄×C₈	—	17	1	no	—
1272	C₄×C₈	—	17	1	no	—
1273	C₄×C₈	—	17	1	no	—
1274	C₄×C₈	—	17	1	no	—
1275	C₄×C₈	—	17	1	no	—
1276	C₄×C₈	—	17	1	no	—
1277	C₄×C₈	—	17	1	no	—
1278	C₄×C₈	—	17	1	no	—
1279	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1280	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1281	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1282	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1283	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1284	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic
1285	C₁₇	#60346	1	1	yes	characteristic, complemented, Sylow
1286	C₂×Q₈	—	17	1	no	—
1287	C₂×Q₈	—	17	1	no	—
1288	C₂×Q₈	—	17	1	no	—
1289	C₂×Q₈	—	17	1	no	—
1290	C₂×Q₈	—	17	1	no	—
1291	C₂×Q₈	—	17	1	no	—
1292	C₂×Q₈	C₂×C₄×D₁₇	1	1	yes	characteristic
1293	C₂×Q₈	C₂×C₄×D₁₇	1	1	yes	characteristic
1294	C₂×Q₈	C₂×C₄×D₁₇	1	1	yes	characteristic
1295	C₂×Q₈	C₂×C₄×D₁₇	1	1	yes	characteristic
1296	C₂×D₄	—	17	1	no	—
1297	C₂×D₄	—	17	1	no	—
1298	C₂×D₄	—	17	1	no	—
1299	C₂×D₄	—	17	1	no	—
1300	C₂×D₄	—	17	1	no	—
1301	C₂×D₄	—	17	1	no	—
1302	C₂×D₄	—	17	1	no	—
1303	C₂×D₄	—	17	1	no	—
1304	C₂×D₄	—	17	1	no	—
1305	C₂×D₄	—	17	1	no	—
1306	C₂²×C₄	—	17	1	no	—
1307	C₂²×C₄	—	17	1	no	—
1308	C₂²×C₄	—	17	1	no	—
1309	C₂²×C₄	—	17	1	no	—
1310	C₂²×C₄	—	17	1	no	—
1311	C₂²×C₄	—	17	1	no	—
1312	C₂²×C₄	—	17	1	no	—
1313	C₂²×C₄	—	17	1	no	—
1314	C₂²×C₄	—	17	1	no	—
1315	C₂²×C₄	—	17	1	no	—
1316	C₂²×C₄	—	17	1	no	—
1317	C₂²×C₄	—	17	1	no	—
1318	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1319	C₂²×C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1321	M₁₆	—	34	2	no	—
1322	M₁₆	—	34	2	no	—
1323	M₁₆	—	68	1	no	—
1324	M₁₆	—	68	1	no	—
1325	M₁₆	—	68	1	no	—
1326	M₁₆	—	68	1	no	—
1327	M₁₆	—	68	1	no	—
1328	M₁₆	—	68	1	no	—
1329	M₁₆	—	68	1	no	—
1330	M₁₆	—	68	1	no	—
1331	C₂×C₈	—	17	1	no	—
1332	C₂×C₈	—	17	1	no	—
1333	C₂×C₈	—	17	1	no	—
1334	C₂×C₈	—	17	1	no	—
1335	C₂×C₈	—	17	1	no	—
1336	C₂×C₈	—	17	1	no	—
1337	C₂×C₈	—	17	1	no	—
1338	C₂×C₈	—	17	1	no	—
1339	C₂×C₈	—	34	2	no	—
1340	C₂×C₈	—	34	2	no	—
1341	C₂×C₈	—	34	2	no	—
1342	C₂×C₈	—	68	1	no	—
1343	C₂×C₈	—	68	1	no	—
1344	C₂×C₈	—	68	1	no	—
1345	C₂×C₈	—	68	1	no	—
1346	C₂×C₈	—	68	1	no	—
1347	C₂×C₈	—	68	1	no	—
1348	C₂×C₈	—	68	1	no	—
1349	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1350	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1351	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1352	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1353	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1354	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1355	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1357	C₄⋊C₄	—	17	1	no	—
1358	C₄⋊C₄	—	17	1	no	—
1359	C₄⋊C₄	—	17	1	no	—
1360	C₄⋊C₄	—	17	1	no	—
1361	C₄⋊C₄	—	17	1	no	—
1362	C₄⋊C₄	—	17	1	no	—
1363	C₄⋊C₄	—	17	1	no	—
1364	C₄⋊C₄	—	17	1	no	—
1365	C₄⋊C₄	—	17	1	no	—
1366	C₄⋊C₄	—	17	1	no	—
1367	C₄⋊C₄	—	17	1	no	—
1368	C₄⋊C₄	—	17	1	no	—
1369	C₄⋊C₄	—	17	1	no	—
1370	C₄⋊C₄	—	17	1	no	—
1371	C₄⋊C₄	—	17	1	no	—
1372	C₄⋊C₄	—	17	1	no	—
1373	C₄⋊C₄	—	17	1	no	—
1374	C₄⋊C₄	—	17	1	no	—
1375	C₄⋊C₄	—	17	1	no	—
1376	C₄⋊C₄	—	17	1	no	—
1377	C₄⋊C₄	—	17	1	no	—
1378	C₄⋊C₄	—	17	1	no	—
1379	C₄⋊C₄	—	17	1	no	—
1380	C₄⋊C₄	—	17	1	no	—
1381	C₄⋊C₄	—	17	1	no	—
1382	C₄⋊C₄	—	17	1	no	—
1383	C₄⋊C₄	—	17	1	no	—
1384	C₄⋊C₄	—	17	1	no	—
1385	C₄⋊C₄	—	17	1	no	—
1386	C₄⋊C₄	—	17	1	no	—
1387	C₄⋊C₄	—	17	1	no	—
1388	C₄⋊C₄	—	17	1	no	—
1389	C₄⋊C₄	—	17	1	no	—
1390	C₄⋊C₄	—	17	1	no	—
1391	C₄⋊C₄	—	17	1	no	—
1392	C₄⋊C₄	—	17	1	no	—
1393	C₄⋊C₄	—	17	1	no	—
1394	C₄⋊C₄	—	17	1	no	—
1395	C₄⋊C₄	—	17	1	no	—
1396	C₄⋊C₄	—	17	1	no	—
1397	C₄⋊C₄	—	17	1	no	—
1398	C₄⋊C₄	—	17	1	no	—
1399	C₄⋊C₄	—	17	1	no	—
1400	C₄⋊C₄	—	17	1	no	—
1401	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1415	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1416	C₄⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1417	C₂²⋊C₄	—	17	1	no	—
1418	C₂²⋊C₄	—	17	1	no	—
1419	C₂²⋊C₄	—	17	1	no	—
1420	C₂²⋊C₄	—	17	1	no	—
1421	C₂²⋊C₄	—	17	1	no	—
1422	C₂²⋊C₄	—	17	1	no	—
1423	C₂²⋊C₄	—	17	1	no	—
1424	C₂²⋊C₄	—	17	1	no	—
1425	C₂²⋊C₄	—	17	1	no	—
1426	C₂²⋊C₄	—	17	1	no	—
1427	C₂²⋊C₄	—	17	1	no	—
1428	C₂²⋊C₄	—	17	1	no	—
1429	C₂²⋊C₄	—	17	1	no	—
1430	C₂²⋊C₄	—	17	1	no	—
1431	C₂²⋊C₄	—	17	1	no	—
1432	C₂²⋊C₄	—	17	1	no	—
1433	C₂²⋊C₄	—	17	1	no	—
1434	C₂²⋊C₄	—	17	1	no	—
1435	C₂²⋊C₄	—	17	1	no	—
1436	C₂²⋊C₄	—	17	1	no	—
1437	C₂²⋊C₄	—	17	1	no	—
1438	C₂²⋊C₄	—	17	1	no	—
1439	C₂²⋊C₄	—	17	1	no	—
1440	C₂²⋊C₄	—	17	1	no	—
1441	C₂²⋊C₄	—	17	1	no	—
1442	C₂²⋊C₄	—	17	1	no	—
1443	C₂²⋊C₄	—	17	1	no	—
1444	C₂²⋊C₄	—	17	1	no	—
1445	C₂²⋊C₄	—	17	1	no	—
1446	C₂²⋊C₄	—	17	1	no	—
1447	C₂²⋊C₄	—	17	1	no	—
1448	C₂²⋊C₄	—	17	1	no	—
1449	C₂²⋊C₄	—	17	1	no	—
1450	C₂²⋊C₄	—	17	1	no	—
1451	C₂²⋊C₄	—	17	1	no	—
1452	C₂²⋊C₄	—	17	1	no	—
1453	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1456	C₂²⋊C₄	C₂×C₄×D₁₇	1	1	yes	characteristic
1457	C₄²	—	17	1	no	—
1458	C₄²	—	17	1	no	—
1459	C₄²	—	17	1	no	—
1460	C₄²	—	17	1	no	—
1461	C₄²	—	17	1	no	—
1462	C₄²	—	17	1	no	—
1463	C₄²	—	17	1	no	—
1464	C₄²	—	17	1	no	—
1465	C₄²	—	17	1	no	—
1466	C₄²	—	17	1	no	—
1467	C₄²	—	17	1	no	—
1468	C₄²	—	17	1	no	—
1469	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1470	C₄²	C₂×C₄×D₁₇	1	1	yes	characteristic
1471	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1472	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1473	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1474	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1475	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1476	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1477	C₂³	—	17	1	no	—
1478	C₂³	—	17	1	no	—
1479	C₂³	—	17	1	no	—
1480	C₂³	—	17	1	no	—
1481	C₂³	C₂²×C₄×D₁₇	1	1	yes	characteristic
1482	Q₈	—	4	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	1	no	—
1485	Q₈	—	4	1	no	—
1486	Q₈	—	68	1	no	—
1487	Q₈	—	68	1	no	—
1488	Q₈	—	68	1	no	—
1489	Q₈	—	68	1	no	—
1490	Q₈	—	68	1	no	—
1491	Q₈	—	68	1	no	—
1492	D₄	—	68	1	no	—
1493	D₄	—	68	1	no	—
1494	D₄	—	68	1	no	—
1495	D₄	—	68	1	no	—
1496	D₄	—	68	1	no	—
1497	D₄	—	68	1	no	—
1498	D₄	—	68	1	no	—
1499	D₄	—	68	1	no	—
1500	D₄	—	68	1	no	—
1501	D₄	—	68	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	4	1	no	—
1506	C₂×C₄	—	17	1	no	—
1507	C₂×C₄	—	17	1	no	—
1508	C₂×C₄	—	17	1	no	—
1509	C₂×C₄	—	17	1	no	—
1510	C₂×C₄	—	17	1	no	—
1511	C₂×C₄	—	17	1	no	—
1512	C₂×C₄	—	17	1	no	—
1513	C₂×C₄	—	17	1	no	—
1514	C₂×C₄	—	17	1	no	—
1515	C₂×C₄	—	17	1	no	—
1516	C₂×C₄	—	17	1	no	—
1517	C₂×C₄	—	17	1	no	—
1518	C₂×C₄	—	34	1	no	—
1519	C₂×C₄	—	34	1	no	—
1520	C₂×C₄	—	34	1	no	—
1521	C₂×C₄	—	34	1	no	—
1522	C₂×C₄	—	34	1	no	—
1523	C₂×C₄	—	34	1	no	—
1524	C₂×C₄	—	34	1	no	—
1525	C₂×C₄	—	34	1	no	—
1526	C₂×C₄	—	68	1	no	—
1527	C₂×C₄	—	68	1	no	—
1528	C₂×C₄	—	68	1	no	—
1529	C₂×C₄	—	68	1	no	—
1530	C₂×C₄	—	68	1	no	—
1531	C₂×C₄	—	68	1	no	—
1532	C₂×C₄	—	68	1	no	—
1533	C₂×C₄	—	68	1	no	—
1534	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1535	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1536	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1537	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1538	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1539	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1540	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1541	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1542	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1543	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1544	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1545	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1546	C₂×C₄	C₂²×C₄×D₁₇	1	1	yes	characteristic
1547	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₈	—	2	1	no	—
1554	C₈	—	2	1	no	—
1555	C₈	—	2	1	no	—
1556	C₈	—	17	2	no	—
1557	C₈	—	34	1	no	—
1558	C₈	—	34	1	no	—
1559	C₈	—	34	1	no	—
1560	C₈	—	34	1	no	—
1561	C₈	—	34	1	no	—
1562	C₈	—	34	1	no	—
1563	C₈	—	34	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	34	1	no	—
1568	C₂²	—	34	1	no	—
1569	C₂²	—	34	1	no	—
1570	C₂²	—	34	1	no	—
1571	C₂²	—	34	1	no	—
1572	C₂²	—	34	1	no	—
1573	C₂²	—	34	1	no	—
1574	C₂²	—	34	1	no	—
1575	C₂²	—	34	1	no	—
1576	C₂²	—	34	1	no	—
1577	C₂²	—	34	1	no	—
1578	C₂²	—	34	1	no	—
1579	C₂²	C₂³×C₄×D₁₇	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	34	1	no	—
1594	C₄	—	34	1	no	—
1595	C₄	—	34	1	no	—
1596	C₄	—	34	1	no	—
1597	C₄	—	34	1	no	—
1598	C₄	—	34	1	no	—
1599	C₄	—	34	1	no	—
1600	C₄	—	34	1	no	—
1601	C₄	—	34	1	no	—
1602	C₄	—	34	1	no	—
1603	C₄	—	34	1	no	—
1604	C₄	—	34	1	no	—
1605	C₄	2₋¹⁺⁴×D₁₇	1	1	yes	characteristic
1606	C₄	#11763646	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	68	1	no	—
1609	C₂	—	68	1	no	—
1610	C₂	—	68	1	no	—
1611	C₂	—	68	1	no	—
1612	C₂	#14541993	1	1	yes	characteristic
1613	C₂	#14543495	1	1	yes	characteristic
1614	C₂	#14543497	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₇
commutator, socle	C₂²×C₁₇	C₂⁴×C₄
Fitting	C₁₇×#2985	C₂
prime radical	#14542931	C₂
cosocle	C₂×C₄×C₁₇	C₂⁵
hypercenter	#2985	D₁₇
hypocenter	C₁₇	#60346
LCS	G ▷ C₂²×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂×C₄ ◁ #2985

Complements

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

N	H ≅ G/N	type
2. #14537953	C₂	semidirect
3. #14537949	C₂	semidirect
4. #14537946	C₂	semidirect
5. #14537938	C₂	semidirect
6. #14537936	C₂	semidirect
7. #14537932	C₂	semidirect
8. #14537927	C₂	semidirect
9. #14537927	C₂	semidirect
10. #14537925	C₂	semidirect
11. #14537922	C₂	semidirect
12. #14537887	C₂	semidirect
13. #14537884	C₂	semidirect
14. #14537882	C₂	semidirect
15. #14537877	C₂	semidirect
16. #14537787	C₂	semidirect
17. #14537782	C₂	semidirect
18. #14537777	C₂	semidirect
19. #14537777	C₂	semidirect
20. #14537776	C₂	semidirect
21. #14537776	C₂	semidirect
22. #14537767	C₂	semidirect
23. #14537764	C₂	semidirect
24. #14537758	C₂	semidirect
25. #14537757	C₂	semidirect
26. #14537733	C₂	semidirect
27. #14537732	C₂	semidirect
28. #14537720	C₂	semidirect
29. #14537720	C₂	semidirect
30. #14537713	C₂	semidirect
31. C₁₇×#2985	C₂	semidirect
772. #2985	D₁₇	semidirect
1285. C₁₇	#60346	semidirect

Maximal subgroups

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

subgroup	index
#14542931	2
#14537953	2
#14537949	2
#14537946	2
#14537938	2
#14537936	2
#14537932	2
#14537927	2
#14537925	2
#14537922	2
#14537887	2
#14537884	2
#14537882	2
#14537877	2
#14537787	2
#14537782	2
#14537777	2
#14537776	2
#14537767	2
#14537764	2
#14537758	2
#14537757	2
#14537733	2
#14537732	2
#14537720	2
#14537713	2
C₁₇×#2985	2
#60346	17