Subgroups — #17911313

Order 4352.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14542337	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#14541007	C₂	1	1	yes	maximal, characteristic, complemented
4	#14541005	C₂	1	1	yes	maximal, characteristic, complemented
5	#14540984	C₂	1	1	yes	maximal, characteristic, complemented
6	#14540982	C₂	1	1	yes	maximal, characteristic, complemented
7	#14540938	C₂	1	1	yes	maximal, characteristic, complemented
8	#14540936	C₂	1	1	yes	maximal, characteristic, complemented
9	#14540871	C₂	1	1	yes	maximal, characteristic, complemented
10	#14540869	C₂	1	1	yes	maximal, characteristic, complemented
11	#14540826	C₂	1	1	yes	maximal, characteristic, complemented
12	#14540824	C₂	1	1	yes	maximal, characteristic, complemented
13	#14540743	C₂	1	1	yes	maximal, characteristic, complemented
14	#14540741	C₂	1	1	yes	maximal, characteristic, complemented
15	#14540636	C₂	1	1	yes	maximal, characteristic, complemented
16	#14540634	C₂	1	1	yes	maximal, characteristic, complemented
17	#14540613	C₂	1	1	yes	maximal, characteristic, complemented
18	#14539167	C₂	1	1	yes	maximal, characteristic, complemented
19	#14538727	C₂	1	1	yes	maximal, characteristic, complemented
20	#14538723	C₂	1	1	yes	maximal, characteristic, complemented
21	#14538579	C₂	1	1	yes	maximal, characteristic, complemented
22	#14538411	C₂	1	1	yes	maximal, characteristic, complemented
23	#14538396	C₂	1	1	yes	maximal, characteristic, complemented
24	#14538275	C₂	1	1	yes	maximal, characteristic, complemented
25	#14538027	C₂	1	1	yes	maximal, characteristic, complemented
26	#14538012	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#10587600	C₂	1	1	yes	maximal, characteristic, complemented
28	D₄×#63218	C₂	1	1	yes	maximal, characteristic, complemented
29	#14537299	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11762812	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₇×#3296	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₇	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₇	C₂²	1	1	yes	characteristic
34	C₂×#10587604	C₂²	1	1	yes	characteristic, complemented
35	C₂×#10587600	C₂²	1	1	yes	characteristic
36	C₂×#10587600	C₂²	1	1	yes	characteristic
37	C₂²×#63218	C₂²	1	1	yes	characteristic
38	C₂²×#63218	C₂²	1	1	yes	characteristic, complemented
39	#11763530	C₂²	1	1	yes	characteristic, complemented
40	#11763522	C₂²	1	1	yes	characteristic, complemented
41	#11763517	C₂²	1	1	yes	characteristic, complemented
42	#11763512	C₂²	1	1	yes	characteristic, complemented
43	#11763505	C₂²	1	1	yes	characteristic, complemented
44	#11763500	C₂²	1	1	yes	characteristic, complemented
45	#11763491	—	2	1	no	—
46	#11763484	—	2	1	no	—
47	#11763483	—	2	1	no	—
48	#11763460	C₂²	1	1	yes	characteristic, complemented
49	#11763456	C₂²	1	1	yes	characteristic
50	#11763455	C₂²	1	1	yes	characteristic
51	#11763454	C₂²	1	1	yes	characteristic
52	#11763453	C₂²	1	1	yes	characteristic
53	#11763452	C₂²	1	1	yes	characteristic
54	#11763451	—	2	1	no	—
55	#11763451	—	2	1	no	—
56	#11763450	C₂²	1	1	yes	characteristic
57	#11763449	—	2	1	no	—
58	#11763448	—	2	1	no	—
59	#11763447	C₂²	1	1	yes	characteristic
60	#11763446	—	2	1	no	—
61	#11763365	C₂²	1	1	yes	characteristic, complemented
62	#11763344	—	2	1	no	—
63	#11763342	—	2	1	no	—
64	#11763336	—	2	1	no	—
65	#124×D₁₇	C₂²	1	1	yes	characteristic
66	#11763322	C₂²	1	1	yes	characteristic
67	#11763322	C₂²	1	1	yes	characteristic, complemented
68	#123×D₁₇	—	2	1	no	—
69	C₂²⋊Q₈×D₁₇	C₂²	1	1	yes	characteristic
70	#121×D₁₇	—	2	1	no	—
71	#121×D₁₇	C₂²	1	1	yes	characteristic
72	#120×D₁₇	—	2	1	no	—
73	C₄×#63256	C₂²	1	1	yes	characteristic, complemented
74	#11763277	—	2	1	no	—
75	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₁₇	C₂²	1	1	yes	characteristic
77	C₂×#10587578	C₂²	1	1	yes	characteristic
78	#117×D₁₇	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₂²⋊C₄×D₁₇	—	2	1	no	—
80	#11763170	C₂²	1	1	yes	characteristic, complemented
81	#11763170	C₂²	1	1	yes	characteristic, complemented
82	#11763167	C₂²	1	1	yes	characteristic, complemented
83	#11763167	C₂²	1	1	yes	characteristic, complemented
84	#11763166	C₂²	1	1	yes	characteristic, complemented
85	#11763164	C₂²	1	1	yes	characteristic, complemented
86	#11763163	C₂²	1	1	yes	characteristic, complemented
87	#11763153	C₂²	1	1	yes	characteristic, complemented
88	#11763153	C₂²	1	1	yes	characteristic, complemented
89	#11763149	C₂²	1	1	yes	characteristic, complemented
90	#11763149	C₂²	1	1	yes	characteristic, complemented
91	#11763145	C₂²	1	1	yes	characteristic, complemented
92	#11763142	C₂²	1	1	yes	characteristic, complemented
93	#11763139	C₂²	1	1	yes	characteristic, complemented
94	#11763134	C₂²	1	1	yes	characteristic, complemented
95	#11763133	C₂²	1	1	yes	characteristic, complemented
96	#11763130	C₂²	1	1	yes	characteristic, complemented
97	#11763129	C₂²	1	1	yes	characteristic, complemented
98	#11763126	C₂²	1	1	yes	characteristic, complemented
99	#11763124	C₂²	1	1	yes	characteristic, complemented
100	#11763121	C₂²	1	1	yes	characteristic, complemented
101	#11763110	C₂²	1	1	yes	characteristic, complemented
102	#11763109	C₂²	1	1	yes	characteristic, complemented
103	#11763106	C₂²	1	1	yes	characteristic, complemented
104	#11763098	C₂²	1	1	yes	characteristic, complemented
105	#11763097	C₂²	1	1	yes	characteristic, complemented
106	#11763088	C₂²	1	1	yes	characteristic, complemented
107	#11763087	C₂²	1	1	yes	characteristic, complemented
108	#11763066	C₂²	1	1	yes	characteristic, complemented
109	#11763064	C₂²	1	1	yes	characteristic, complemented
110	#11763063	C₂²	1	1	yes	characteristic, complemented
111	#11763061	C₂²	1	1	yes	characteristic, complemented
112	#11763058	C₂²	1	1	yes	characteristic, complemented
113	#11763058	C₂²	1	1	yes	characteristic, complemented
114	#11763056	C₂²	1	1	yes	characteristic, complemented
115	#11763052	C₂²	1	1	yes	characteristic, complemented
116	#11763048	C₂²	1	1	yes	characteristic, complemented
117	#11763045	C₂²	1	1	yes	characteristic, complemented
118	#11763043	C₂²	1	1	yes	characteristic, complemented
119	#11763040	C₂²	1	1	yes	characteristic, complemented
120	#11763040	C₂²	1	1	yes	characteristic, complemented
121	#11763038	C₂²	1	1	yes	characteristic, complemented
122	#11763033	C₂²	1	1	yes	characteristic, complemented
123	#11763031	C₂²	1	1	yes	characteristic, complemented
124	#11763029	C₂²	1	1	yes	characteristic, complemented
125	#11763027	C₂²	1	1	yes	characteristic, complemented
126	#11763025	C₂²	1	1	yes	characteristic, complemented
127	#11763023	C₂²	1	1	yes	characteristic, complemented
128	#11763021	C₂²	1	1	yes	characteristic, complemented
129	#11762970	C₂²	1	1	yes	characteristic, complemented
130	#11762969	C₂²	1	1	yes	characteristic, complemented
131	#11762968	C₂²	1	1	yes	characteristic, complemented
132	#11762959	C₂²	1	1	yes	characteristic, complemented
133	#11762958	C₂²	1	1	yes	characteristic, complemented
134	#11762958	C₂²	1	1	yes	characteristic, complemented
135	#11762957	C₂²	1	1	yes	characteristic, complemented
136	#11762956	C₂²	1	1	yes	characteristic, complemented
137	#11762955	C₂²	1	1	yes	characteristic, complemented
138	#11762954	C₂²	1	1	yes	characteristic, complemented
139	#11762945	C₂²	1	1	yes	characteristic, complemented
140	#11762944	C₂²	1	1	yes	characteristic, complemented
141	#11762944	C₂²	1	1	yes	characteristic, complemented
142	#11762943	C₂²	1	1	yes	characteristic, complemented
143	#11762920	C₂²	1	1	yes	characteristic, complemented
144	#11762918	C₂²	1	1	yes	characteristic, complemented
145	#11762912	C₂²	1	1	yes	characteristic, complemented
146	#11762910	C₂²	1	1	yes	characteristic, complemented
147	C₄×#63230	C₂²	1	1	yes	characteristic, complemented
148	C₄×D₁₃₆	C₂²	1	1	yes	characteristic, complemented
149	C₄×#63228	C₂²	1	1	yes	characteristic, complemented
150	#11762888	C₂²	1	1	yes	characteristic, complemented
151	#11762886	C₂²	1	1	yes	characteristic, complemented
152	#11762880	C₂²	1	1	yes	characteristic, complemented
153	#11762880	C₂²	1	1	yes	characteristic, complemented
154	#11762877	C₂²	1	1	yes	characteristic, complemented
155	#11762877	C₂²	1	1	yes	characteristic, complemented
156	D₄×#3622	C₂²	1	1	yes	characteristic, complemented
157	#11762850	C₂²	1	1	yes	characteristic, complemented
158	#11762848	C₂²	1	1	yes	characteristic, complemented
159	#11762848	C₂²	1	1	yes	characteristic, complemented
160	#11762831	C₂²	1	1	yes	characteristic, complemented
161	#11762816	C₂²	1	1	yes	characteristic, complemented
162	#11762816	C₂²	1	1	yes	characteristic, complemented
163	#11762816	C₂²	1	1	yes	characteristic, complemented
164	#11762812	C₂²	1	1	yes	characteristic
165	#11762812	C₂²	1	1	yes	characteristic
166	#11762812	C₂²	1	1	yes	characteristic
167	#11762812	C₂²	1	1	yes	characteristic
168	#11762812	C₂²	1	1	yes	characteristic
169	#11762812	C₂²	1	1	yes	characteristic
170	#11762812	C₂²	1	1	yes	characteristic, complemented
171	#11762812	C₂²	1	1	yes	characteristic, complemented
172	#11762812	C₂²	1	1	yes	characteristic, complemented
173	#11762812	C₂²	1	1	yes	characteristic, complemented
174	#11762809	C₂²	1	1	yes	characteristic, complemented
175	#11762809	C₂²	1	1	yes	characteristic, complemented
176	#11762809	C₂²	1	1	yes	characteristic, complemented
177	#11762807	C₂²	1	1	yes	characteristic, complemented
178	#11762807	C₂²	1	1	yes	characteristic, complemented
179	#11762806	C₂²	1	1	yes	characteristic, complemented
180	#11762805	C₂²	1	1	yes	characteristic, complemented
181	#11762803	C₂²	1	1	yes	characteristic, complemented
182	C₂×#10587492	C₂²	1	1	yes	characteristic, complemented
183	C₂×#10587503	C₂²	1	1	yes	characteristic, complemented
184	C₂×#10587480	C₂²	1	1	yes	characteristic, complemented
185	#11762771	C₂²	1	1	yes	characteristic
186	#11762771	C₂²	1	1	yes	characteristic, complemented
187	C₄×#63218	C₂²	1	1	yes	characteristic, complemented
188	C₁₇×#552	C₂²	1	1	yes	characteristic, complemented
189	C₁₇×#546	C₂²	1	1	yes	characteristic
190	C₁₇×#488	C₂²	1	1	yes	characteristic, complemented
191	C₁₇×#483	C₂²	1	1	yes	characteristic, complemented
192	C₁₇×#482	C₂²	1	1	yes	characteristic, complemented
193	C₁₇×#478	C₂²	1	1	yes	characteristic, complemented
194	C₁₇×#467	C₂²	1	1	yes	characteristic, complemented
195	C₁₇×#465	C₂²	1	1	yes	characteristic, complemented
196	C₁₇×#464	C₂²	1	1	yes	characteristic, complemented
197	C₁₇×#452	C₂²	1	1	yes	characteristic, complemented
198	C₁₇×#450	C₂²	1	1	yes	characteristic, complemented
199	C₄×SD₁₆×C₁₇	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₄×C₁₇	C₂²	1	1	yes	characteristic, complemented
201	C₁₇×#416	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₇×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₇	—	2	1	no	—
204	C₂×#41×C₁₇	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₇	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₇	—	2	1	no	—
207	#41×D₁₇	—	2	4	no	—
208	#41×D₁₇	—	4	2	no	—
209	C₂×#63256	C₂³	1	1	yes	characteristic
210	C₂×#63256	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₇	C₂³	1	1	yes	characteristic
212	C₂×#63254	—	2	1	no	—
213	C₂×#63254	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₇	—	2	4	no	—
215	C₂×D₄×D₁₇	—	2	1	no	—
216	C₂×D₄×D₁₇	—	2	1	no	—
217	C₂×D₄×D₁₇	—	2	1	no	—
218	C₂×D₄×D₁₇	—	2	1	no	—
219	C₂×D₄×D₁₇	—	4	2	no	—
220	C₂×D₄×D₁₇	D₄	1	1	yes	characteristic
221	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₇	C₂³	1	1	yes	characteristic
225	C₂×#63252	—	2	1	no	—
226	C₂×#63252	—	2	1	no	—
227	C₂×#63252	C₂³	1	1	yes	characteristic
228	C₂²×D₆₈	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₇	—	2	1	no	—
230	C₂²×C₄×D₁₇	—	2	1	no	—
231	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₇	C₂³	1	1	yes	characteristic
233	C₂×Q₁₆×C₁₇	C₂³	1	1	yes	characteristic, complemented
234	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₁₇	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
238	C₁₇×#126	—	2	1	no	—
239	C₁₇×#125	—	2	1	no	—
240	C₁₇×#125	C₂³	1	1	yes	characteristic, complemented
241	C₁₇×#124	C₂³	1	1	yes	characteristic
242	C₁₇×#123	—	2	1	no	—
243	C₁₇×#123	—	2	1	no	—
244	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
247	C₁₇×#121	—	2	1	no	—
248	C₁₇×#121	C₂³	1	1	yes	characteristic
249	C₁₇×#120	—	2	1	no	—
250	C₄×Q₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
251	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₇	C₂³	1	1	yes	characteristic
253	C₁₇×#117	—	2	1	no	—
254	C₁₇×#117	C₂³	1	1	yes	characteristic, complemented
255	C₂×C₄⋊C₄×C₁₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₁₇	—	2	1	no	—
257	#10587639	—	2	1	no	—
258	C₂×C₂²⋊Dic₁₇	—	2	1	no	—
259	#10587633	C₂³	1	1	yes	characteristic
260	#10587632	C₂³	1	1	yes	characteristic
261	#10587632	C₂³	1	1	yes	characteristic
262	#10587632	C₂³	1	1	yes	characteristic, complemented
263	Q₈×Dic₁₇	C₂³	1	1	yes	characteristic, complemented
264	C₂×#63231	C₂³	1	1	yes	characteristic, complemented
265	C₂×#63230	C₂³	1	1	yes	characteristic
266	C₂×#63230	C₂³	1	1	yes	characteristic
267	C₂×#63230	C₂³	1	1	yes	characteristic, complemented
268	#10587625	—	2	1	no	—
269	#10587625	—	2	1	no	—
270	#10587625	—	2	1	no	—
271	#10587625	—	2	1	no	—
272	#10587624	—	2	1	no	—
273	#10587624	C₂³	1	1	yes	characteristic
274	#10587623	—	2	1	no	—
275	#10587623	—	2	1	no	—
276	#10587623	—	2	1	no	—
277	#10587622	C₂³	1	1	yes	characteristic
278	#10587621	—	2	1	no	—
279	D₄×Dic₁₇	D₄	1	1	yes	characteristic
280	D₄×Dic₁₇	C₂³	1	1	yes	characteristic
281	C₂×#63228	C₂³	1	1	yes	characteristic
282	C₂×#63228	C₂³	1	1	yes	characteristic
283	#10587616	—	2	1	no	—
284	#10587616	C₂³	1	1	yes	characteristic
285	#10587616	C₂³	1	1	yes	characteristic
286	#10587616	C₂³	1	1	yes	characteristic, complemented
287	#10587615	—	2	1	no	—
288	#10587615	—	2	1	no	—
289	C₄×C₂²⋊D₁₇	—	2	1	no	—
290	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₁₇	C₂³	1	1	yes	characteristic
292	C₂×#63227	—	2	1	no	—
293	C₂×#63227	—	2	1	no	—
294	C₂×#63227	—	2	1	no	—
295	#10587612	C₂³	1	1	yes	characteristic, complemented
296	C₂×C₄⋊Dic₁₇	C₂³	1	1	yes	characteristic
297	#10587610	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₇	—	2	1	no	—
299	C₂²×#3622	C₂³	1	1	yes	characteristic
300	C₂²×#3622	C₂³	1	1	yes	characteristic, complemented
301	#10587604	—	4	2	no	—
302	#10587600	—	2	4	no	—
303	#10587600	—	4	2	no	—
304	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
305	C₂×D₁₃₆	C₂³	1	1	yes	characteristic
306	C₂×#63219	C₂³	1	1	yes	characteristic, complemented
307	C₂×#63218	—	4	2	no	—
308	C₂×#63218	—	4	2	no	—
309	C₂×#63218	C₂³	1	1	yes	characteristic
310	C₂×#63218	C₂³	1	1	yes	characteristic
311	C₂×#63218	C₂³	1	1	yes	characteristic
312	C₂×#63218	C₂³	1	1	yes	characteristic
313	C₂×#63218	C₂³	1	1	yes	characteristic
314	C₂×#63218	C₂³	1	1	yes	characteristic
315	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
316	C₂×#63218	C₂³	1	1	yes	characteristic, complemented
317	#10587584	—	2	1	no	—
318	#10587584	—	2	1	no	—
319	#10587584	—	2	1	no	—
320	#10587583	—	2	1	no	—
321	#10587583	C₂³	1	1	yes	characteristic
322	#10587582	—	2	1	no	—
323	#10587582	—	2	1	no	—
324	#10587582	—	2	1	no	—
325	#10587582	—	2	1	no	—
326	#10587581	—	2	1	no	—
327	#10587581	—	2	1	no	—
328	#10587581	C₂³	1	1	yes	characteristic
329	#10587581	C₂³	1	1	yes	characteristic
330	#10587581	C₂³	1	1	yes	characteristic, complemented
331	#10587580	—	2	1	no	—
332	#10587580	—	2	1	no	—
333	#10587580	—	2	1	no	—
334	#10587580	—	2	1	no	—
335	#10587580	—	2	1	no	—
336	#10587580	—	2	1	no	—
337	#10587580	—	2	1	no	—
338	#10587579	—	2	1	no	—
339	#10587579	—	2	1	no	—
340	#10587579	—	2	1	no	—
341	#10587579	—	2	1	no	—
342	#10587579	D₄	1	1	yes	characteristic
343	#10587579	C₂³	1	1	yes	characteristic
344	#10587579	C₂³	1	1	yes	characteristic, complemented
345	#10587578	—	2	1	no	—
346	#10587578	—	2	1	no	—
347	#10587578	—	2	1	no	—
348	#10587578	C₂³	1	1	yes	characteristic
349	#10587578	C₂³	1	1	yes	characteristic
350	#10587578	C₂³	1	1	yes	characteristic
351	#10587578	C₂³	1	1	yes	characteristic
352	#10587578	C₂³	1	1	yes	characteristic
353	C₄⋊C₄×D₁₇	—	2	1	no	—
354	C₄⋊C₄×D₁₇	D₄	1	1	yes	characteristic
355	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
357	C₄⋊C₄×D₁₇	C₂³	1	1	yes	characteristic, complemented
358	#10587575	—	2	1	no	—
359	#10587575	—	2	1	no	—
360	#10587574	C₂³	1	1	yes	characteristic, complemented
361	#10587574	C₂³	1	1	yes	characteristic, complemented
362	#10587573	—	2	1	no	—
363	#10587573	—	2	1	no	—
364	#10587573	—	2	1	no	—
365	#10587572	—	2	1	no	—
366	#10587571	—	2	1	no	—
367	#10587571	—	2	1	no	—
368	#10587571	—	2	1	no	—
369	#10587571	—	2	1	no	—
370	#10587570	—	2	1	no	—
371	#10587570	—	2	1	no	—
372	#10587570	—	2	1	no	—
373	#10587570	—	2	1	no	—
374	#10587569	—	2	1	no	—
375	#10587569	—	2	1	no	—
376	#10587569	—	2	1	no	—
377	#10587568	—	2	1	no	—
378	#10587568	—	2	1	no	—
379	#10587568	—	2	1	no	—
380	#10587568	—	2	1	no	—
381	#10587568	—	2	1	no	—
382	#10587567	—	2	1	no	—
383	#10587567	—	2	1	no	—
384	#10587567	—	2	1	no	—
385	#10587567	—	2	1	no	—
386	#10587567	—	2	1	no	—
387	#10587567	D₄	1	1	yes	characteristic
388	#10587567	D₄	1	1	yes	characteristic
389	C₂²⋊C₄×D₁₇	—	2	1	no	—
390	C₂²⋊C₄×D₁₇	—	2	1	no	—
391	C₂²⋊C₄×D₁₇	—	2	1	no	—
392	C₂²⋊C₄×D₁₇	—	2	1	no	—
393	C₂²⋊C₄×D₁₇	—	2	1	no	—
394	C₂²⋊C₄×D₁₇	—	2	1	no	—
395	C₂²⋊C₄×D₁₇	—	2	1	no	—
396	C₂²⋊C₄×D₁₇	—	2	1	no	—
397	C₂²⋊C₄×D₁₇	—	2	1	no	—
398	C₂²⋊C₄×D₁₇	—	2	1	no	—
399	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
400	C₂²⋊C₄×D₁₇	D₄	1	1	yes	characteristic
401	#10587565	—	2	1	no	—
402	#10587564	—	2	1	no	—
403	#10587564	—	2	1	no	—
404	#10587563	—	2	1	no	—
405	#10587562	—	2	1	no	—
406	#10587561	—	2	1	no	—
407	#10587561	C₂³	1	1	yes	characteristic
408	C₄×D₆₈	—	2	1	no	—
409	C₄×D₆₈	C₂³	1	1	yes	characteristic
410	C₄×D₆₈	C₂³	1	1	yes	characteristic
411	C₄×D₆₈	C₂³	1	1	yes	characteristic, complemented
412	#10587558	—	2	1	no	—
413	#10587558	—	2	1	no	—
414	#10587558	—	2	1	no	—
415	C₄²×D₁₇	—	2	1	no	—
416	C₄²×D₁₇	—	2	1	no	—
417	C₄²×D₁₇	C₂³	1	1	yes	characteristic
418	#10587556	C₂³	1	1	yes	characteristic, complemented
419	C₁₇×#107	C₂³	1	1	yes	characteristic, complemented
420	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
421	C₁₇×#106	C₂³	1	1	yes	characteristic, complemented
422	C₁₇×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
423	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
424	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
425	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
426	C₁₇×#103	C₂³	1	1	yes	characteristic, complemented
427	C₁₇×#102	C₂³	1	1	yes	characteristic
428	C₁₇×#102	C₂³	1	1	yes	characteristic
429	C₁₇×#102	C₂³	1	1	yes	characteristic
430	C₁₇×#102	C₂³	1	1	yes	characteristic
431	C₁₇×#102	C₂³	1	1	yes	characteristic
432	C₁₇×#102	C₂³	1	1	yes	characteristic
433	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₄×C₈×C₁₇	C₂³	1	1	yes	characteristic, complemented
436	#10587506	C₂³	1	1	yes	characteristic, complemented
437	#10587506	C₂³	1	1	yes	characteristic, complemented
438	#10587506	C₂³	1	1	yes	characteristic, complemented
439	#10587506	C₂³	1	1	yes	characteristic, complemented
440	#10587503	C₂³	1	1	yes	characteristic
441	#10587503	C₂³	1	1	yes	characteristic
442	#10587503	C₂³	1	1	yes	characteristic
443	#10587503	C₂³	1	1	yes	characteristic
444	#10587503	C₂³	1	1	yes	characteristic
445	#10587503	C₂³	1	1	yes	characteristic
446	C₂²⋊#3622	C₂³	1	1	yes	characteristic
447	C₂²⋊#3622	C₂³	1	1	yes	characteristic, complemented
448	#10587492	C₂³	1	1	yes	characteristic
449	#10587492	C₂³	1	1	yes	characteristic
450	#10587492	C₂³	1	1	yes	characteristic
451	#10587492	C₂³	1	1	yes	characteristic
452	#10587492	C₂³	1	1	yes	characteristic
453	#10587492	C₂³	1	1	yes	characteristic
454	#10587492	C₂³	1	1	yes	characteristic, complemented
455	#10587491	C₂³	1	1	yes	characteristic
456	#10587491	C₂³	1	1	yes	characteristic
457	#10587491	C₂³	1	1	yes	characteristic, complemented
458	#10587491	C₂³	1	1	yes	characteristic, complemented
459	#10587489	C₂³	1	1	yes	characteristic, complemented
460	#10587489	C₂³	1	1	yes	characteristic, complemented
461	#10587488	C₂³	1	1	yes	characteristic, complemented
462	#10587487	C₂³	1	1	yes	characteristic, complemented
463	#10587487	C₂³	1	1	yes	characteristic, complemented
464	#10587487	C₂³	1	1	yes	characteristic, complemented
465	#10587486	C₂³	1	1	yes	characteristic, complemented
466	#10587486	C₂³	1	1	yes	characteristic, complemented
467	#10587485	C₂³	1	1	yes	characteristic, complemented
468	#10587485	C₂³	1	1	yes	characteristic, complemented
469	#10587481	C₂³	1	1	yes	characteristic, complemented
470	#10587481	C₂³	1	1	yes	characteristic, complemented
471	#10587481	C₂³	1	1	yes	characteristic, complemented
472	#10587480	C₂³	1	1	yes	characteristic
473	#10587480	C₂³	1	1	yes	characteristic
474	#10587480	C₂³	1	1	yes	characteristic
475	#10587480	C₂³	1	1	yes	characteristic
476	#10587480	C₂³	1	1	yes	characteristic
477	#10587480	C₂³	1	1	yes	characteristic
478	#10587480	C₂³	1	1	yes	characteristic, complemented
479	#10587479	C₂³	1	1	yes	characteristic, complemented
480	#10587479	C₂³	1	1	yes	characteristic, complemented
481	#10587479	C₂³	1	1	yes	characteristic, complemented
482	#10587478	C₂³	1	1	yes	characteristic, complemented
483	#10587478	C₂³	1	1	yes	characteristic, complemented
484	#10587478	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#3622	C₂³	1	1	yes	characteristic, complemented
486	C₄×#3622	C₂³	1	1	yes	characteristic, complemented
487	C₂⁴×C₁₇	—	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	—	2	1	no	—
493	C₂³×D₁₇	—	4	4	no	—
494	C₂³×D₁₇	—	4	4	no	—
495	C₂³×D₁₇	—	8	2	no	—
496	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
497	C₂³×D₁₇	C₂×D₄	1	1	yes	characteristic
498	#41×C₁₇	—	2	2	no	—
499	#41×C₁₇	—	4	1	no	—
500	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₇	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₇	—	2	2	no	—
503	C₂×D₄×C₁₇	—	2	1	no	—
504	C₂×D₄×C₁₇	—	2	1	no	—
505	C₂×D₄×C₁₇	—	2	1	no	—
506	C₂×D₄×C₁₇	—	4	1	no	—
507	C₂×D₄×C₁₇	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₇	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₁₇	—	2	1	no	—
511	C₂²×C₄×C₁₇	—	2	1	no	—
512	C₂²×C₄×C₁₇	—	2	1	no	—
513	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₇	—	4	4	no	—
526	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₁₇	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₇	—	2	1	no	—
529	C₂²×Dic₁₇	—	2	1	no	—
530	C₂²×Dic₁₇	—	2	1	no	—
531	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₇	C₂×D₄	1	1	yes	characteristic
533	#63256	—	2	2	no	—
534	#63256	—	2	2	no	—
535	#63256	—	2	2	no	—
536	#63256	—	4	1	no	—
537	Q₈×D₁₇	—	2	2	no	—
538	Q₈×D₁₇	—	2	2	no	—
539	#63254	—	2	2	no	—
540	#63254	—	4	1	no	—
541	#63254	—	4	4	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	—	2	2	no	—
547	D₄×D₁₇	—	4	1	no	—
548	D₄×D₁₇	—	4	1	no	—
549	D₄×D₁₇	—	4	4	no	—
550	D₄×D₁₇	—	4	4	no	—
551	D₄×D₁₇	—	4	2	no	—
552	D₄×D₁₇	—	4	4	no	—
553	D₄×D₁₇	—	8	2	no	—
554	D₄×D₁₇	#41	1	4	yes	complemented
555	#63252	—	2	2	no	—
556	#63252	—	4	1	no	—
557	#63252	—	4	4	no	—
558	#63252	—	4	4	no	—
559	C₂×D₆₈	—	2	2	no	—
560	C₂×D₆₈	—	2	1	no	—
561	C₂×D₆₈	—	2	1	no	—
562	C₂×D₆₈	—	2	1	no	—
563	C₂×D₆₈	—	2	1	no	—
564	C₂×D₆₈	—	2	1	no	—
565	C₂×D₆₈	—	2	1	no	—
566	C₂×D₆₈	—	4	1	no	—
567	C₂×D₆₈	C₂×D₄	1	1	yes	characteristic
568	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
569	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
570	C₂×D₆₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₁₇	—	2	2	no	—
572	C₂×C₄×D₁₇	—	2	2	no	—
573	C₂×C₄×D₁₇	—	2	2	no	—
574	C₂×C₄×D₁₇	—	2	2	no	—
575	C₂×C₄×D₁₇	—	2	1	no	—
576	C₂×C₄×D₁₇	—	2	1	no	—
577	C₂×C₄×D₁₇	—	2	1	no	—
578	C₂×C₄×D₁₇	—	2	1	no	—
579	C₂×C₄×D₁₇	—	2	1	no	—
580	C₂×C₄×D₁₇	—	2	1	no	—
581	C₂×C₄×D₁₇	—	2	1	no	—
582	C₂×C₄×D₁₇	—	2	1	no	—
583	C₂×C₄×D₁₇	—	2	1	no	—
584	C₂×C₄×D₁₇	—	2	1	no	—
585	C₂×C₄×D₁₇	—	2	1	no	—
586	C₂×C₄×D₁₇	—	4	4	no	—
587	C₂×C₄×D₁₇	—	8	2	no	—
588	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₇	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₇	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₃₄	—	2	1	no	—
598	C₂×Dic₃₄	—	2	1	no	—
599	C₂×Dic₃₄	—	2	1	no	—
600	C₂×Dic₃₄	C₂⁴	1	1	yes	characteristic
601	Q₁₆×C₁₇	—	4	1	no	—
602	SD₁₆×C₁₇	—	2	2	no	—
603	SD₁₆×C₁₇	—	4	1	no	—
604	C₂×C₈×C₁₇	—	4	1	no	—
605	C₂×C₈×C₁₇	—	4	1	no	—
606	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₇	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₁₇	—	2	1	no	—
611	C₄⋊C₄×C₁₇	—	2	1	no	—
612	C₄⋊C₄×C₁₇	—	2	1	no	—
613	C₄⋊C₄×C₁₇	—	2	1	no	—
614	C₄⋊C₄×C₁₇	—	2	1	no	—
615	C₄⋊C₄×C₁₇	—	2	1	no	—
616	C₄⋊C₄×C₁₇	—	2	1	no	—
617	C₄⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₁₇	C₂⁴	1	1	yes	characteristic
622	C₂²⋊C₄×C₁₇	—	2	1	no	—
623	C₂²⋊C₄×C₁₇	—	2	1	no	—
624	C₂²⋊C₄×C₁₇	—	2	1	no	—
625	C₂²⋊C₄×C₁₇	—	2	1	no	—
626	C₂²⋊C₄×C₁₇	—	2	1	no	—
627	C₂²⋊C₄×C₁₇	—	2	1	no	—
628	C₂²⋊C₄×C₁₇	—	2	1	no	—
629	C₂²⋊C₄×C₁₇	—	2	1	no	—
630	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₁₇	C₂×D₄	1	1	yes	characteristic
632	C₄²×C₁₇	—	2	1	no	—
633	C₄²×C₁₇	—	2	1	no	—
634	C₄²×C₁₇	C₂⁴	1	1	yes	characteristic
635	C₂²⋊Dic₁₇	—	2	1	no	—
636	C₂²⋊Dic₁₇	—	2	1	no	—
637	C₂²⋊Dic₁₇	—	2	1	no	—
638	C₂²⋊Dic₁₇	—	2	1	no	—
639	C₂²⋊Dic₁₇	—	2	1	no	—
640	C₂²⋊Dic₁₇	—	2	1	no	—
641	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
643	#63231	—	4	1	no	—
644	#63230	—	2	2	no	—
645	#63230	—	4	1	no	—
646	#63230	—	4	1	no	—
647	#63228	—	2	2	no	—
648	#63228	—	4	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	—	2	1	no	—
658	#63227	—	2	1	no	—
659	#63227	—	2	1	no	—
660	#63227	—	2	1	no	—
661	#63227	—	2	1	no	—
662	#63227	—	2	1	no	—
663	#63227	—	2	1	no	—
664	#63227	—	2	1	no	—
665	#63227	—	2	1	no	—
666	#63227	—	2	1	no	—
667	#63227	—	2	1	no	—
668	#63227	—	2	1	no	—
669	#63227	—	2	1	no	—
670	#63227	—	2	1	no	—
671	#63227	—	2	1	no	—
672	#63227	C₂×D₄	1	1	yes	characteristic
673	#63227	C₂×D₄	1	1	yes	characteristic
674	#63227	C₂×D₄	1	1	yes	characteristic
675	#63227	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₁₇	—	2	1	no	—
677	C₄⋊Dic₁₇	—	2	1	no	—
678	C₄⋊Dic₁₇	—	2	1	no	—
679	C₄⋊Dic₁₇	C₂×D₄	1	1	yes	characteristic
680	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₁₇	C₂⁴	1	1	yes	characteristic
684	#63225	—	2	1	no	—
685	#63225	—	2	1	no	—
686	#63225	—	2	1	no	—
687	#63225	—	2	1	no	—
688	#63225	—	2	1	no	—
689	#63225	—	2	1	no	—
690	#63225	—	2	1	no	—
691	#63225	—	2	1	no	—
692	#63225	—	2	1	no	—
693	#63225	—	2	1	no	—
694	#63225	—	2	1	no	—
695	#63225	C₂×D₄	1	1	yes	characteristic
696	#63225	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₁₇	—	2	1	no	—
698	C₄×Dic₁₇	—	2	1	no	—
699	C₄×Dic₁₇	—	2	1	no	—
700	C₄×Dic₁₇	—	2	1	no	—
701	C₄×Dic₁₇	—	2	1	no	—
702	C₄×Dic₁₇	—	2	1	no	—
703	C₄×Dic₁₇	—	2	1	no	—
704	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₁₇	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₇	C₂⁴	1	1	yes	characteristic
707	C₂×#3622	—	4	1	no	—
708	C₂×#3622	—	4	1	no	—
709	C₂×#3622	C₂⁴	1	1	yes	characteristic
710	C₂×#3622	C₂⁴	1	1	yes	characteristic
711	C₂×#3622	C₂⁴	1	1	yes	characteristic
712	C₂×#3622	C₂⁴	1	1	yes	characteristic
713	D₁₃₆	—	2	2	no	—
714	D₁₃₆	—	4	1	no	—
715	#63219	—	4	1	no	—
716	#63218	—	2	2	no	—
717	#63218	—	2	2	no	—
718	#63218	—	2	2	no	—
719	#63218	—	2	2	no	—
720	#63218	—	4	1	no	—
721	#63218	—	4	1	no	—
722	#63218	—	4	1	no	—
723	#63218	—	4	1	no	—
724	#61156	—	17	1	no	maximal, Sylow
725	C₂³×C₁₇	—	2	1	no	—
726	C₂³×C₁₇	—	2	1	no	—
727	C₂³×C₁₇	—	4	2	no	—
728	C₂³×C₁₇	—	4	2	no	—
729	C₂³×C₁₇	—	8	1	no	—
730	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
731	C₂³×C₁₇	C₂²×D₄	1	1	yes	characteristic
732	C₂²×D₁₇	—	2	2	no	—
733	C₂²×D₁₇	—	2	1	no	—
734	C₂²×D₁₇	—	2	2	no	—
735	C₂²×D₁₇	—	2	4	no	—
736	C₂²×D₁₇	—	2	2	no	—
737	C₂²×D₁₇	—	2	1	no	—
738	C₂²×D₁₇	—	2	1	no	—
739	C₂²×D₁₇	—	4	1	no	—
740	C₂²×D₁₇	—	4	1	no	—
741	C₂²×D₁₇	—	4	1	no	—
742	C₂²×D₁₇	—	4	2	no	—
743	C₂²×D₁₇	—	4	2	no	—
744	C₂²×D₁₇	—	4	2	no	—
745	C₂²×D₁₇	—	4	2	no	—
746	C₂²×D₁₇	—	4	2	no	—
747	C₂²×D₁₇	—	4	2	no	—
748	C₂²×D₁₇	—	4	2	no	—
749	C₂²×D₁₇	—	4	2	no	—
750	C₂²×D₁₇	—	4	2	no	—
751	C₂²×D₁₇	—	4	2	no	—
752	C₂²×D₁₇	—	4	2	no	—
753	C₂²×D₁₇	—	8	1	no	—
754	C₂²×D₁₇	—	8	1	no	—
755	C₂²×D₁₇	—	8	1	no	—
756	C₂²×D₁₇	—	8	16	no	—
757	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
758	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
759	C₂²×D₁₇	C₂²×D₄	1	1	yes	characteristic
760	Q₈×C₁₇	—	2	1	no	—
761	Q₈×C₁₇	—	2	1	no	—
762	Q₈×C₁₇	—	2	1	no	—
763	Q₈×C₁₇	—	2	1	no	—
764	D₄×C₁₇	—	2	2	no	—
765	D₄×C₁₇	—	2	1	no	—
766	D₄×C₁₇	—	2	1	no	—
767	D₄×C₁₇	—	2	1	no	—
768	D₄×C₁₇	—	4	2	no	—
769	D₄×C₁₇	—	4	2	no	—
770	D₄×C₁₇	—	8	1	no	—
771	D₄×C₁₇	C₂×#41	1	2	yes	—
772	C₂×C₄×C₁₇	—	2	1	no	—
773	C₂×C₄×C₁₇	—	2	1	no	—
774	C₂×C₄×C₁₇	—	2	1	no	—
775	C₂×C₄×C₁₇	—	2	1	no	—
776	C₂×C₄×C₁₇	—	2	1	no	—
777	C₂×C₄×C₁₇	—	2	1	no	—
778	C₂×C₄×C₁₇	—	2	1	no	—
779	C₂×C₄×C₁₇	—	2	1	no	—
780	C₂×C₄×C₁₇	—	2	1	no	—
781	C₂×C₄×C₁₇	—	2	1	no	—
782	C₂×C₄×C₁₇	—	4	2	no	—
783	C₂×C₄×C₁₇	—	4	2	no	—
784	C₂×C₄×C₁₇	—	8	1	no	—
785	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₇	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₇	C₂⁵	1	1	yes	characteristic
790	C₂²⋊D₁₇	—	2	2	no	—
791	C₂²⋊D₁₇	—	2	4	no	—
792	C₂²⋊D₁₇	—	4	1	no	—
793	C₂²⋊D₁₇	—	4	2	no	—
794	C₂²⋊D₁₇	—	4	2	no	—
795	C₂²⋊D₁₇	—	4	2	no	—
796	C₂²⋊D₁₇	—	4	2	no	—
797	C₂²⋊D₁₇	—	4	2	no	—
798	C₂²⋊D₁₇	—	4	2	no	—
799	C₂²⋊D₁₇	—	8	1	no	—
800	C₂²⋊D₁₇	—	8	1	no	—
801	C₂²⋊D₁₇	—	8	1	no	—
802	C₂×Dic₁₇	—	2	2	no	—
803	C₂×Dic₁₇	—	2	2	no	—
804	C₂×Dic₁₇	—	2	1	no	—
805	C₂×Dic₁₇	—	2	1	no	—
806	C₂×Dic₁₇	—	2	1	no	—
807	C₂×Dic₁₇	—	2	1	no	—
808	C₂×Dic₁₇	—	2	1	no	—
809	C₂×Dic₁₇	—	4	2	no	—
810	C₂×Dic₁₇	—	8	1	no	—
811	C₂×Dic₁₇	—	8	1	no	—
812	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
816	C₂×Dic₁₇	C₂²×D₄	1	1	yes	characteristic
817	D₆₈	—	2	1	no	—
818	D₆₈	—	2	1	no	—
819	D₆₈	—	2	1	no	—
820	D₆₈	—	2	1	no	—
821	D₆₈	—	2	1	no	—
822	D₆₈	—	4	1	no	—
823	D₆₈	—	4	2	no	—
824	D₆₈	—	4	2	no	—
825	D₆₈	—	4	2	no	—
826	D₆₈	—	4	2	no	—
827	D₆₈	—	8	1	no	—
828	D₆₈	—	8	1	no	—
829	D₆₈	C₂×#41	1	2	yes	—
830	C₄×D₁₇	—	2	2	no	—
831	C₄×D₁₇	—	2	2	no	—
832	C₄×D₁₇	—	2	1	no	—
833	C₄×D₁₇	—	2	1	no	—
834	C₄×D₁₇	—	2	1	no	—
835	C₄×D₁₇	—	2	1	no	—
836	C₄×D₁₇	—	2	2	no	—
837	C₄×D₁₇	—	2	2	no	—
838	C₄×D₁₇	—	4	1	no	—
839	C₄×D₁₇	—	4	1	no	—
840	C₄×D₁₇	—	4	2	no	—
841	C₄×D₁₇	—	4	2	no	—
842	C₄×D₁₇	—	4	2	no	—
843	C₄×D₁₇	—	4	2	no	—
844	C₄×D₁₇	—	4	2	no	—
845	C₄×D₁₇	—	4	2	no	—
846	C₄×D₁₇	—	4	2	no	—
847	C₄×D₁₇	—	8	1	no	—
848	C₄×D₁₇	—	8	1	no	—
849	C₄×D₁₇	—	8	1	no	—
850	C₄×D₁₇	—	8	1	no	—
851	C₄×D₁₇	C₂×#41	1	2	yes	—
852	C₄×D₁₇	H(5,𝔽₂)	1	2	yes	—
853	Dic₃₄	—	2	1	no	—
854	Dic₃₄	—	2	1	no	—
855	Dic₃₄	—	4	2	no	—
856	Dic₃₄	—	4	2	no	—
857	Dic₃₄	—	8	1	no	—
858	C₈×C₁₇	—	2	1	no	—
859	C₈×C₁₇	—	2	1	no	—
860	C₈×C₁₇	—	2	1	no	—
861	C₈×C₁₇	—	2	1	no	—
862	#3622	—	2	1	no	—
863	#3622	—	2	1	no	—
864	#3622	—	2	1	no	—
865	#3622	—	2	1	no	—
866	#3475	—	17	1	no	—
867	C₂×#546	—	17	1	no	—
868	#3323	—	17	1	no	—
869	#3323	—	17	1	no	—
870	#3322	—	17	1	no	—
871	#3322	—	17	1	no	—
872	#3319	—	17	1	no	—
873	#3319	—	17	1	no	—
874	#3314	—	17	1	no	—
875	#3314	—	17	1	no	—
876	#3311	—	17	1	no	—
877	#3311	—	17	1	no	—
878	#3306	—	17	1	no	—
879	#3306	—	17	1	no	—
880	#3297	—	17	1	no	—
881	#3297	—	17	1	no	—
882	#3296	—	17	1	no	—
883	#3296	D₁₇	1	1	yes	characteristic, complemented
884	#3140	—	17	1	no	—
885	#3095	—	17	1	no	—
886	#3094	—	17	1	no	—
887	#3077	—	17	1	no	—
888	#3056	—	17	1	no	—
889	#3055	—	17	1	no	—
890	#3040	—	17	1	no	—
891	#3005	—	17	1	no	—
892	#3003	—	17	1	no	—
893	C₄×AGL(1,ℤ/8)	—	17	1	no	—
894	D₄×M₁₆	—	17	1	no	—
895	#2896	—	17	1	no	—
896	C₂×#418	—	17	1	no	—
897	C₂²×C₁₇	—	2	1	no	—
898	C₂²×C₁₇	—	2	1	no	—
899	C₂²×C₁₇	—	2	1	no	—
900	C₂²×C₁₇	—	2	1	no	—
901	C₂²×C₁₇	—	2	2	no	—
902	C₂²×C₁₇	—	2	1	no	—
903	C₂²×C₁₇	—	4	1	no	—
904	C₂²×C₁₇	—	4	1	no	—
905	C₂²×C₁₇	—	4	1	no	—
906	C₂²×C₁₇	—	4	1	no	—
907	C₂²×C₁₇	—	4	1	no	—
908	C₂²×C₁₇	—	8	4	no	—
909	C₂²×C₁₇	#575	1	2	yes	—
910	C₂²×C₁₇	C₂³×D₄	1	1	yes	characteristic
911	C₂×D₁₇	—	2	1	no	—
912	C₂×D₁₇	—	2	1	no	—
913	C₂×D₁₇	—	2	1	no	—
914	C₂×D₁₇	—	2	1	no	—
915	C₂×D₁₇	—	2	1	no	—
916	C₂×D₁₇	—	2	1	no	—
917	C₂×D₁₇	—	2	2	no	—
918	C₂×D₁₇	—	2	1	no	—
919	C₂×D₁₇	—	2	1	no	—
920	C₂×D₁₇	—	4	4	no	—
921	C₂×D₁₇	—	4	8	no	—
922	C₂×D₁₇	—	4	1	no	—
923	C₂×D₁₇	—	4	1	no	—
924	C₂×D₁₇	—	4	1	no	—
925	C₂×D₁₇	—	4	1	no	—
926	C₂×D₁₇	—	4	1	no	—
927	C₂×D₁₇	—	4	1	no	—
928	C₂×D₁₇	—	4	1	no	—
929	C₂×D₁₇	—	4	1	no	—
930	C₂×D₁₇	—	8	2	no	—
931	C₂×D₁₇	—	8	4	no	—
932	C₂×D₁₇	—	8	4	no	—
933	C₂×D₁₇	—	8	4	no	—
934	C₂×D₁₇	—	8	4	no	—
935	C₂×D₁₇	#546	1	2	yes	—
936	C₄×C₁₇	—	2	1	no	—
937	C₄×C₁₇	—	2	1	no	—
938	C₄×C₁₇	—	2	1	no	—
939	C₄×C₁₇	—	2	1	no	—
940	C₄×C₁₇	—	4	1	no	—
941	C₄×C₁₇	—	4	1	no	—
942	C₄×C₁₇	—	4	1	no	—
943	C₄×C₁₇	—	4	1	no	—
944	C₄×C₁₇	—	4	1	no	—
945	C₄×C₁₇	—	4	1	no	—
946	C₄×C₁₇	C₂²×#41	1	1	yes	characteristic
947	C₄×C₁₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
948	Dic₁₇	—	2	1	no	—
949	Dic₁₇	—	2	1	no	—
950	Dic₁₇	—	2	1	no	—
951	Dic₁₇	—	2	1	no	—
952	Dic₁₇	—	4	1	no	—
953	Dic₁₇	—	4	1	no	—
954	Dic₁₇	—	4	1	no	—
955	Dic₁₇	—	4	1	no	—
956	Dic₁₇	—	4	1	no	—
957	Dic₁₇	#546	1	2	yes	—
958	C₂²×#41	—	17	1	no	—
959	C₂³×D₄	—	17	1	no	—
960	C₂×#137	—	17	1	no	—
961	C₂×AGL(1,ℤ/8)	—	17	1	no	—
962	C₂×AGL(1,ℤ/8)	—	17	1	no	—
963	C₂²×M₁₆	—	17	1	no	—
964	C₂²×M₁₆	—	17	1	no	—
965	#556	—	17	1	no	—
966	#555	—	17	1	no	—
967	#554	—	17	1	no	—
968	#553	—	17	1	no	—
969	#553	—	17	1	no	—
970	#552	—	17	1	no	—
971	#552	—	34	1	no	—
972	#552	C₂×D₁₇	1	1	yes	characteristic, complemented
973	#551	—	34	1	no	—
974	#551	—	34	1	no	—
975	#547	—	17	1	no	—
976	#546	—	17	1	no	—
977	#546	—	17	1	no	—
978	#546	—	17	1	no	—
979	#546	—	17	1	no	—
980	#546	—	17	1	no	—
981	#546	—	17	1	no	—
982	#546	—	17	1	no	—
983	#546	—	34	1	no	—
984	#546	—	34	1	no	—
985	#546	—	34	1	no	—
986	#546	—	34	1	no	—
987	#546	—	34	1	no	—
988	#546	C₂×D₁₇	1	1	yes	characteristic
989	#533	—	17	1	no	—
990	#529	—	34	1	no	—
991	#529	—	34	1	no	—
992	#529	—	34	1	no	—
993	C₂×#124	—	17	1	no	—
994	#525	—	17	1	no	—
995	#525	—	17	1	no	—
996	C₂×#123	—	34	1	no	—
997	C₂×C₂²⋊Q₈	—	17	1	no	—
998	C₂×#121	—	17	1	no	—
999	C₂×#121	—	34	1	no	—
1000	C₂×#120	—	34	1	no	—
1001	C₄×#41	—	17	1	no	—
1002	C₄×#41	—	34	1	no	—
1003	C₂×C₄×D₄	—	17	1	no	—
1004	C₂×C₄×D₄	—	17	1	no	—
1005	C₂×#117	—	17	1	no	—
1006	C₂×#117	—	17	1	no	—
1007	C₂²×C₂²⋊C₄	—	34	1	no	—
1008	#489	—	17	1	no	—
1009	#489	—	17	1	no	—
1010	#489	—	17	1	no	—
1011	#489	—	17	1	no	—
1012	#488	—	17	1	no	—
1013	#488	—	17	1	no	—
1014	#488	—	17	1	no	—
1015	#488	C₂×D₁₇	1	1	yes	characteristic, complemented
1016	#485	—	17	1	no	—
1017	#485	—	17	1	no	—
1018	#485	—	17	1	no	—
1019	#485	—	17	1	no	—
1020	#484	—	17	1	no	—
1021	#484	—	17	1	no	—
1022	#483	—	17	1	no	—
1023	#483	C₂×D₁₇	1	1	yes	characteristic, complemented
1024	#482	—	17	1	no	—
1025	#482	—	17	1	no	—
1026	#482	—	17	1	no	—
1027	#482	C₂×D₁₇	1	1	yes	characteristic, complemented
1028	#481	—	17	1	no	—
1029	#481	—	17	1	no	—
1030	#480	—	17	1	no	—
1031	#480	—	17	1	no	—
1032	#478	—	17	1	no	—
1033	#478	—	17	1	no	—
1034	#478	—	17	1	no	—
1035	#478	C₂×D₁₇	1	1	yes	characteristic, complemented
1036	#476	—	17	1	no	—
1037	#476	—	17	1	no	—
1038	#474	—	17	1	no	—
1039	#474	—	17	1	no	—
1040	#470	—	17	1	no	—
1041	#470	—	17	1	no	—
1042	#469	—	17	1	no	—
1043	#469	—	17	1	no	—
1044	#468	—	17	1	no	—
1045	#468	—	17	1	no	—
1046	#468	—	17	1	no	—
1047	#468	—	17	1	no	—
1048	#467	—	17	1	no	—
1049	#467	C₂×D₁₇	1	1	yes	characteristic, complemented
1050	#466	—	17	1	no	—
1051	#466	—	17	1	no	—
1052	#465	—	17	1	no	—
1053	#465	—	17	1	no	—
1054	#465	—	17	1	no	—
1055	#465	C₂×D₁₇	1	1	yes	characteristic, complemented
1056	#464	—	17	1	no	—
1057	#464	—	17	1	no	—
1058	#464	—	17	1	no	—
1059	#464	C₂×D₁₇	1	1	yes	characteristic, complemented
1060	#463	—	17	1	no	—
1061	#463	—	17	1	no	—
1062	#463	—	17	1	no	—
1063	#463	—	17	1	no	—
1064	#452	—	17	1	no	—
1065	#452	—	17	1	no	—
1066	#452	—	17	1	no	—
1067	#452	C₂×D₁₇	1	1	yes	characteristic, complemented
1068	#450	—	17	1	no	—
1069	#450	—	17	1	no	—
1070	#450	—	17	1	no	—
1071	#450	C₂×D₁₇	1	1	yes	characteristic, complemented
1072	#449	—	17	1	no	—
1073	#449	—	17	1	no	—
1074	#449	—	17	1	no	—
1075	#449	—	17	1	no	—
1076	#447	—	17	1	no	—
1077	#447	—	17	1	no	—
1078	#447	—	17	1	no	—
1079	#447	—	17	1	no	—
1080	#442	—	17	1	no	—
1081	#442	—	17	1	no	—
1082	#440	—	17	1	no	—
1083	#440	—	17	1	no	—
1084	C₄×SD₁₆	—	17	1	no	—
1085	C₄×SD₁₆	C₂×D₁₇	1	1	yes	characteristic, complemented
1086	C₄×D₈	—	17	1	no	—
1087	C₄×D₈	—	17	1	no	—
1088	#436	—	17	1	no	—
1089	#436	—	17	1	no	—
1090	#435	—	17	1	no	—
1091	#435	—	17	1	no	—
1092	#435	—	17	1	no	—
1093	#435	—	17	1	no	—
1094	C₈×D₄	—	17	1	no	—
1095	C₈×D₄	C₂×D₁₇	1	1	yes	characteristic, complemented
1096	#428	—	17	1	no	—
1097	#428	—	17	1	no	—
1098	#428	—	17	1	no	—
1099	#423	—	17	1	no	—
1100	#419	—	17	1	no	—
1101	#419	—	17	1	no	—
1102	#419	—	17	1	no	—
1103	#418	—	17	1	no	—
1104	#418	—	17	1	no	—
1105	#418	—	17	1	no	—
1106	#418	—	17	1	no	—
1107	#418	—	17	1	no	—
1108	#418	—	17	1	no	—
1109	#418	—	17	1	no	—
1110	#418	—	17	1	no	—
1111	#418	—	17	1	no	—
1112	#418	—	17	1	no	—
1113	#417	—	17	1	no	—
1114	#417	—	17	1	no	—
1115	#417	—	17	1	no	—
1116	#417	—	17	1	no	—
1117	#417	—	17	1	no	—
1118	#416	—	17	1	no	—
1119	#416	—	17	1	no	—
1120	#416	—	17	1	no	—
1121	#416	C₂×D₁₇	1	1	yes	characteristic, complemented
1122	C₂×#102	—	17	1	no	—
1123	C₂×#102	—	17	1	no	—
1124	C₂×#102	—	17	1	no	—
1125	C₂×#102	C₂×D₁₇	1	1	yes	characteristic, complemented
1126	#407	—	17	1	no	—
1127	#407	—	17	1	no	—
1128	C₄×M₁₆	—	17	1	no	—
1129	C₂×C₁₇	—	2	2	no	—
1130	C₂×C₁₇	—	4	2	no	—
1131	C₂×C₁₇	—	4	1	no	—
1132	C₂×C₁₇	—	8	1	no	—
1133	C₂×C₁₇	C₂×#546	1	1	yes	characteristic
1134	C₂×C₁₇	C₂×#575	1	1	yes	characteristic
1135	C₂×C₁₇	#3585	1	1	yes	characteristic
1136	D₁₇	—	2	2	no	—
1137	D₁₇	—	4	1	no	—
1138	D₁₇	—	4	1	no	—
1139	D₁₇	—	4	2	no	—
1140	D₁₇	—	8	1	no	—
1141	D₁₇	—	8	1	no	—
1142	C₂⁵	—	34	1	no	—
1143	C₂×#41	—	17	1	no	—
1144	C₂×#41	—	17	1	no	—
1145	C₂×#41	—	17	1	no	—
1146	C₂×#41	—	17	1	no	—
1147	C₂×#41	—	34	1	no	—
1148	C₂×#41	—	34	1	no	—
1149	C₂×#41	—	34	1	no	—
1150	C₂×#41	—	34	4	no	—
1151	C₂×#41	—	68	2	no	—
1152	C₂×#41	C₂²×D₁₇	1	1	yes	characteristic
1153	C₂²×Q₈	—	17	1	no	—
1154	C₂²×D₄	—	17	1	no	—
1155	C₂²×D₄	—	17	1	no	—
1156	C₂²×D₄	—	17	1	no	—
1157	C₂²×D₄	—	17	1	no	—
1158	C₂²×D₄	—	17	1	no	—
1159	C₂²×D₄	—	17	1	no	—
1160	C₂²×D₄	—	34	1	no	—
1161	C₂²×D₄	—	34	1	no	—
1162	C₂²×D₄	—	34	1	no	—
1163	C₂²×D₄	—	34	4	no	—
1164	C₂²×D₄	—	34	1	no	—
1165	C₂²×D₄	—	34	1	no	—
1166	C₂²×D₄	—	68	2	no	—
1167	C₂²×D₄	C₂²×D₁₇	1	1	yes	characteristic
1168	C₂³×C₄	—	17	1	no	—
1169	C₂³×C₄	—	17	1	no	—
1170	C₂³×C₄	—	34	1	no	—
1171	C₂³×C₄	—	34	1	no	—
1172	#137	—	68	2	no	—
1173	AGL(1,ℤ/8)	—	34	4	no	—
1174	AGL(1,ℤ/8)	—	68	2	no	—
1175	C₂×Q₁₆	—	17	1	no	—
1176	C₂×Q₁₆	C₂²×D₁₇	1	1	yes	characteristic, complemented
1177	C₂×SD₁₆	—	17	1	no	—
1178	C₂×SD₁₆	—	17	1	no	—
1179	C₂×SD₁₆	—	17	1	no	—
1180	C₂×SD₁₆	—	17	1	no	—
1181	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂²×D₁₇	1	1	yes	characteristic
1183	C₂×D₈	—	17	1	no	—
1184	C₂×D₈	—	17	1	no	—
1185	C₂×D₈	—	17	1	no	—
1186	C₂×D₈	—	17	1	no	—
1187	C₂×M₁₆	—	17	1	no	—
1188	C₂×M₁₆	—	17	1	no	—
1189	C₂×M₁₆	—	17	1	no	—
1190	C₂×M₁₆	—	17	1	no	—
1191	C₂×M₁₆	—	17	1	no	—
1192	C₂×M₁₆	—	17	1	no	—
1193	C₂×M₁₆	—	17	1	no	—
1194	C₂×M₁₆	—	17	1	no	—
1195	C₂×M₁₆	—	68	2	no	—
1196	C₂×M₁₆	—	68	2	no	—
1197	C₂²×C₈	—	17	1	no	—
1198	C₂²×C₈	—	17	1	no	—
1199	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic
1200	C₂²×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1201	C₄⋊Q₈	—	17	1	no	—
1202	C₄⋊Q₈	—	17	1	no	—
1203	#126	—	2	1	no	—
1204	#126	—	34	1	no	—
1205	#126	—	34	1	no	—
1206	#126	—	34	1	no	—
1207	#126	—	34	1	no	—
1208	#126	—	34	1	no	—
1209	#125	—	2	1	no	—
1210	#125	—	17	1	no	—
1211	#125	—	34	1	no	—
1212	#125	—	34	1	no	—
1213	#125	C₂²×D₁₇	1	1	yes	characteristic, complemented
1214	#124	—	17	1	no	—
1215	#124	—	17	1	no	—
1216	#124	—	17	1	no	—
1217	#124	—	34	1	no	—
1218	#124	—	34	1	no	—
1219	#124	—	34	1	no	—
1220	#124	—	34	1	no	—
1221	#124	—	34	1	no	—
1222	#124	C₂²×D₁₇	1	1	yes	characteristic
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	34	1	no	—
1226	#123	—	34	1	no	—
1227	#123	—	34	1	no	—
1228	#123	—	34	1	no	—
1229	#123	—	34	1	no	—
1230	#123	—	34	1	no	—
1231	#123	—	34	1	no	—
1232	#123	—	34	1	no	—
1233	#123	—	34	1	no	—
1234	#123	—	34	1	no	—
1235	#123	—	34	1	no	—
1236	#123	—	34	1	no	—
1237	#123	—	34	1	no	—
1238	#123	—	34	1	no	—
1239	C₂²⋊Q₈	—	17	1	no	—
1240	C₂²⋊Q₈	—	17	1	no	—
1241	C₂²⋊Q₈	—	17	1	no	—
1242	C₂²⋊Q₈	—	17	1	no	—
1243	C₂²⋊Q₈	—	17	1	no	—
1244	C₂²⋊Q₈	—	34	1	no	—
1245	C₂²⋊Q₈	—	34	1	no	—
1246	C₂²⋊Q₈	—	34	1	no	—
1247	C₂²⋊Q₈	—	34	1	no	—
1248	C₂²⋊Q₈	—	34	1	no	—
1249	C₂²⋊Q₈	—	34	1	no	—
1250	C₂²⋊Q₈	—	34	1	no	—
1251	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1252	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic
1253	C₂²⋊Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1254	#121	—	2	1	no	—
1255	#121	—	17	1	no	—
1256	#121	—	17	1	no	—
1257	#121	—	17	1	no	—
1258	#121	—	17	1	no	—
1259	#121	—	17	1	no	—
1260	#121	—	17	1	no	—
1261	#121	—	17	1	no	—
1262	#121	—	34	1	no	—
1263	#121	—	34	1	no	—
1264	#121	—	34	1	no	—
1265	#121	—	34	1	no	—
1266	#121	—	34	1	no	—
1267	#121	—	34	1	no	—
1268	#121	—	34	1	no	—
1269	#121	—	34	1	no	—
1270	#121	—	34	1	no	—
1271	#121	—	34	1	no	—
1272	#121	—	34	1	no	—
1273	#121	—	34	1	no	—
1274	#121	C₂²×D₁₇	1	1	yes	characteristic
1275	#120	—	2	1	no	—
1276	#120	—	34	1	no	—
1277	#120	—	34	1	no	—
1278	#120	—	34	1	no	—
1279	#120	—	34	1	no	—
1280	#120	—	34	1	no	—
1281	#120	—	34	1	no	—
1282	#120	—	34	1	no	—
1283	#120	—	34	1	no	—
1284	#120	—	34	1	no	—
1285	C₄×Q₈	—	17	1	no	—
1286	C₄×Q₈	—	34	1	no	—
1287	C₄×Q₈	—	34	1	no	—
1288	C₄×Q₈	—	34	1	no	—
1289	C₄×Q₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1290	C₄×D₄	—	17	1	no	—
1291	C₄×D₄	—	17	1	no	—
1292	C₄×D₄	—	17	1	no	—
1293	C₄×D₄	—	17	1	no	—
1294	C₄×D₄	—	17	1	no	—
1295	C₄×D₄	—	17	1	no	—
1296	C₄×D₄	—	17	1	no	—
1297	C₄×D₄	—	17	1	no	—
1298	C₄×D₄	—	17	1	no	—
1299	C₄×D₄	—	17	1	no	—
1300	C₄×D₄	—	17	1	no	—
1301	C₄×D₄	—	17	1	no	—
1302	C₄×D₄	—	34	1	no	—
1303	C₄×D₄	—	34	1	no	—
1304	C₄×D₄	—	34	1	no	—
1305	C₄×D₄	—	34	1	no	—
1306	C₄×D₄	—	34	1	no	—
1307	C₄×D₄	—	34	1	no	—
1308	C₄×D₄	—	34	1	no	—
1309	C₄×D₄	—	34	1	no	—
1310	C₄×D₄	—	34	1	no	—
1311	C₄×D₄	—	34	1	no	—
1312	C₄×D₄	—	34	1	no	—
1313	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1314	C₄×D₄	C₂²×D₁₇	1	1	yes	characteristic
1315	#117	—	2	1	no	—
1316	#117	—	17	1	no	—
1317	#117	—	17	1	no	—
1318	#117	—	17	1	no	—
1319	#117	—	17	1	no	—
1320	#117	—	17	1	no	—
1321	#117	—	17	1	no	—
1322	#117	—	34	1	no	—
1323	#117	—	34	1	no	—
1324	#117	—	34	1	no	—
1325	#117	—	34	1	no	—
1326	#117	—	34	1	no	—
1327	#117	—	34	1	no	—
1328	#117	—	34	1	no	—
1329	#117	C₂²×D₁₇	1	1	yes	characteristic, complemented
1330	C₂×C₄⋊C₄	—	17	1	no	—
1331	C₂×C₄⋊C₄	—	17	1	no	—
1332	C₂×C₄⋊C₄	—	17	1	no	—
1333	C₂×C₄⋊C₄	—	17	1	no	—
1334	C₂×C₄⋊C₄	—	17	1	no	—
1335	C₂×C₄⋊C₄	—	34	1	no	—
1336	C₂×C₄⋊C₄	C₂²×D₁₇	1	1	yes	characteristic
1337	C₂×C₂²⋊C₄	—	2	1	no	—
1338	C₂×C₂²⋊C₄	—	17	1	no	—
1339	C₂×C₂²⋊C₄	—	17	1	no	—
1340	C₂×C₂²⋊C₄	—	34	1	no	—
1341	C₂×C₂²⋊C₄	—	34	1	no	—
1342	C₂×C₂²⋊C₄	—	34	1	no	—
1343	C₂×C₂²⋊C₄	—	34	1	no	—
1344	C₂×C₂²⋊C₄	—	34	1	no	—
1345	C₂×C₂²⋊C₄	—	34	1	no	—
1346	C₂×C₂²⋊C₄	—	34	1	no	—
1347	C₂×C₂²⋊C₄	—	34	1	no	—
1348	C₂×C₂²⋊C₄	—	34	1	no	—
1349	C₂×C₂²⋊C₄	—	34	1	no	—
1350	C₂×C₂²⋊C₄	—	34	1	no	—
1351	C₂×C₂²⋊C₄	—	34	1	no	—
1352	C₂×C₂²⋊C₄	—	34	1	no	—
1353	C₂×C₂²⋊C₄	—	34	1	no	—
1354	C₂×C₄²	—	17	1	no	—
1355	C₂×C₄²	—	34	1	no	—
1356	C₂×C₄²	—	34	1	no	—
1357	C₂×C₄²	—	34	1	no	—
1358	#107	—	17	1	no	—
1359	#107	—	17	1	no	—
1360	#107	—	17	1	no	—
1361	#107	—	17	1	no	—
1362	#107	—	17	1	no	—
1363	#107	C₂²×D₁₇	1	1	yes	characteristic, complemented
1364	#106	—	17	1	no	—
1365	#106	—	17	1	no	—
1366	#106	—	17	1	no	—
1367	#106	—	17	1	no	—
1368	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1369	#106	C₂²×D₁₇	1	1	yes	characteristic, complemented
1370	C₄⋊C₈	—	17	1	no	—
1371	C₄⋊C₈	—	17	1	no	—
1372	C₄⋊C₈	—	17	1	no	—
1373	C₄⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1374	#103	—	17	1	no	—
1375	#103	—	17	1	no	—
1376	#103	—	17	1	no	—
1377	#103	—	17	1	no	—
1378	#103	—	17	1	no	—
1379	#103	—	17	1	no	—
1380	#103	—	17	1	no	—
1381	#103	—	17	1	no	—
1382	#103	—	17	1	no	—
1383	#103	—	17	1	no	—
1384	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1385	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1386	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1387	#103	C₂²×D₁₇	1	1	yes	characteristic, complemented
1388	#102	—	17	1	no	—
1389	#102	—	17	1	no	—
1390	#102	—	17	1	no	—
1391	#102	—	17	1	no	—
1392	#102	—	17	1	no	—
1393	#102	—	17	1	no	—
1394	#102	—	17	1	no	—
1395	#102	—	17	1	no	—
1396	#102	—	17	1	no	—
1397	#102	—	17	1	no	—
1398	#102	—	17	1	no	—
1399	#102	—	17	1	no	—
1400	#102	—	17	1	no	—
1401	#102	—	17	1	no	—
1402	#102	—	17	1	no	—
1403	#102	—	17	1	no	—
1404	#102	—	17	1	no	—
1405	#102	—	17	1	no	—
1406	#102	—	17	1	no	—
1407	#102	—	17	1	no	—
1408	#102	C₂²×D₁₇	1	1	yes	characteristic
1409	#102	C₂²×D₁₇	1	1	yes	characteristic
1410	#102	C₂²×D₁₇	1	1	yes	characteristic
1411	#102	C₂²×D₁₇	1	1	yes	characteristic
1412	#102	C₂²×D₁₇	1	1	yes	characteristic
1413	#102	C₂²×D₁₇	1	1	yes	characteristic
1414	C₂²⋊C₈	—	17	1	no	—
1415	C₂²⋊C₈	—	17	1	no	—
1416	C₂²⋊C₈	—	17	1	no	—
1417	C₂²⋊C₈	—	17	1	no	—
1418	C₂²⋊C₈	—	17	1	no	—
1419	C₂²⋊C₈	—	17	1	no	—
1420	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1422	#97	—	17	1	no	—
1423	#97	—	17	1	no	—
1424	C₄×C₈	—	17	1	no	—
1425	C₄×C₈	C₂²×D₁₇	1	1	yes	characteristic, complemented
1426	C₁₇	#61156	1	1	yes	characteristic, complemented, Sylow
1427	C₂⁴	—	2	1	no	—
1428	C₂⁴	—	17	1	no	—
1429	C₂⁴	—	17	1	no	—
1430	C₂⁴	—	34	1	no	—
1431	C₂⁴	—	34	1	no	—
1432	C₂⁴	—	34	1	no	—
1433	C₂⁴	—	34	1	no	—
1434	C₂⁴	—	34	1	no	—
1435	C₂⁴	—	68	4	no	—
1436	C₂⁴	—	68	4	no	—
1437	C₂⁴	—	136	2	no	—
1438	#41	—	2	2	no	—
1439	#41	—	4	1	no	—
1440	#41	—	34	2	no	—
1441	#41	—	34	2	no	—
1442	#41	—	34	2	no	—
1443	#41	—	34	2	no	—
1444	#41	—	34	2	no	—
1445	#41	—	68	1	no	—
1446	#41	—	68	4	no	—
1447	#41	—	68	4	no	—
1448	#41	—	68	1	no	—
1449	#41	—	68	4	no	—
1450	#41	—	68	1	no	—
1451	C₂×Q₈	—	17	1	no	—
1452	C₂×Q₈	—	34	1	no	—
1453	C₂×Q₈	—	34	1	no	—
1454	C₂×Q₈	—	34	1	no	—
1455	C₂×Q₈	—	34	2	no	—
1456	C₂×Q₈	—	34	2	no	—
1457	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1458	C₂×Q₈	C₂³×D₁₇	1	1	yes	characteristic
1459	C₂×D₄	—	2	2	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	4	1	no	—
1464	C₂×D₄	—	17	4	no	—
1465	C₂×D₄	—	17	1	no	—
1466	C₂×D₄	—	17	1	no	—
1467	C₂×D₄	—	17	1	no	—
1468	C₂×D₄	—	17	1	no	—
1469	C₂×D₄	—	17	1	no	—
1470	C₂×D₄	—	17	1	no	—
1471	C₂×D₄	—	34	2	no	—
1472	C₂×D₄	—	34	1	no	—
1473	C₂×D₄	—	34	1	no	—
1474	C₂×D₄	—	34	1	no	—
1475	C₂×D₄	—	34	1	no	—
1476	C₂×D₄	—	34	1	no	—
1477	C₂×D₄	—	34	2	no	—
1478	C₂×D₄	—	34	2	no	—
1479	C₂×D₄	—	34	2	no	—
1480	C₂×D₄	—	34	1	no	—
1481	C₂×D₄	—	34	1	no	—
1482	C₂×D₄	—	34	1	no	—
1483	C₂×D₄	—	34	1	no	—
1484	C₂×D₄	—	34	2	no	—
1485	C₂×D₄	—	34	2	no	—
1486	C₂×D₄	—	34	1	no	—
1487	C₂×D₄	—	34	1	no	—
1488	C₂×D₄	—	34	1	no	—
1489	C₂×D₄	—	34	1	no	—
1490	C₂×D₄	—	34	1	no	—
1491	C₂×D₄	—	34	1	no	—
1492	C₂×D₄	—	34	1	no	—
1493	C₂×D₄	—	68	1	no	—
1494	C₂×D₄	—	68	1	no	—
1495	C₂×D₄	—	68	1	no	—
1496	C₂×D₄	—	68	4	no	—
1497	C₂×D₄	—	68	4	no	—
1498	C₂×D₄	—	68	4	no	—
1499	C₂×D₄	—	68	2	no	—
1500	C₂×D₄	—	68	4	no	—
1501	C₂×D₄	—	136	2	no	—
1502	C₂×D₄	D₄×D₁₇	1	1	yes	characteristic
1503	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1504	C₂×D₄	C₂³×D₁₇	1	1	yes	characteristic
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	17	1	no	—
1509	C₂²×C₄	—	17	1	no	—
1510	C₂²×C₄	—	17	1	no	—
1511	C₂²×C₄	—	17	1	no	—
1512	C₂²×C₄	—	17	1	no	—
1513	C₂²×C₄	—	17	1	no	—
1514	C₂²×C₄	—	17	1	no	—
1515	C₂²×C₄	—	17	1	no	—
1516	C₂²×C₄	—	17	1	no	—
1517	C₂²×C₄	—	17	1	no	—
1518	C₂²×C₄	—	17	1	no	—
1519	C₂²×C₄	—	34	2	no	—
1520	C₂²×C₄	—	34	2	no	—
1521	C₂²×C₄	—	34	2	no	—
1522	C₂²×C₄	—	34	2	no	—
1523	C₂²×C₄	—	34	1	no	—
1524	C₂²×C₄	—	34	1	no	—
1525	C₂²×C₄	—	34	1	no	—
1526	C₂²×C₄	—	34	1	no	—
1527	C₂²×C₄	—	34	1	no	—
1528	C₂²×C₄	—	34	1	no	—
1529	C₂²×C₄	—	34	1	no	—
1530	C₂²×C₄	—	34	1	no	—
1531	C₂²×C₄	—	34	1	no	—
1532	C₂²×C₄	—	34	1	no	—
1533	C₂²×C₄	—	34	1	no	—
1534	C₂²×C₄	—	34	1	no	—
1535	C₂²×C₄	—	34	1	no	—
1536	C₂²×C₄	—	34	1	no	—
1537	C₂²×C₄	—	68	4	no	—
1538	C₂²×C₄	—	136	2	no	—
1539	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1540	C₂²×C₄	C₂³×D₁₇	1	1	yes	characteristic
1541	Q₁₆	—	4	1	no	—
1542	Q₁₆	—	68	1	no	—
1543	SD₁₆	—	2	2	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	34	2	no	—
1546	SD₁₆	—	68	1	no	—
1547	SD₁₆	—	68	1	no	—
1548	SD₁₆	—	68	1	no	—
1549	D₈	—	34	2	no	—
1550	D₈	—	34	2	no	—
1551	D₈	—	68	1	no	—
1552	D₈	—	68	1	no	—
1553	M₁₆	—	34	2	no	—
1554	M₁₆	—	34	2	no	—
1555	M₁₆	—	34	2	no	—
1556	M₁₆	—	34	2	no	—
1557	M₁₆	—	68	1	no	—
1558	M₁₆	—	68	1	no	—
1559	M₁₆	—	68	1	no	—
1560	M₁₆	—	68	1	no	—
1561	C₂×C₈	—	4	1	no	—
1562	C₂×C₈	—	4	1	no	—
1563	C₂×C₈	—	17	1	no	—
1564	C₂×C₈	—	17	1	no	—
1565	C₂×C₈	—	17	1	no	—
1566	C₂×C₈	—	17	1	no	—
1567	C₂×C₈	—	68	1	no	—
1568	C₂×C₈	—	68	1	no	—
1569	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1570	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1571	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1572	C₂×C₈	C₂³×D₁₇	1	1	yes	characteristic
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	17	1	no	—
1581	C₄⋊C₄	—	17	1	no	—
1582	C₄⋊C₄	—	17	1	no	—
1583	C₄⋊C₄	—	17	1	no	—
1584	C₄⋊C₄	—	17	1	no	—
1585	C₄⋊C₄	—	17	1	no	—
1586	C₄⋊C₄	—	17	1	no	—
1587	C₄⋊C₄	—	34	1	no	—
1588	C₄⋊C₄	—	34	1	no	—
1589	C₄⋊C₄	—	34	1	no	—
1590	C₄⋊C₄	—	34	1	no	—
1591	C₄⋊C₄	—	34	1	no	—
1592	C₄⋊C₄	—	34	1	no	—
1593	C₄⋊C₄	—	34	1	no	—
1594	C₄⋊C₄	—	34	1	no	—
1595	C₄⋊C₄	—	34	1	no	—
1596	C₄⋊C₄	—	34	1	no	—
1597	C₄⋊C₄	—	34	1	no	—
1598	C₄⋊C₄	—	34	1	no	—
1599	C₄⋊C₄	—	34	1	no	—
1600	C₄⋊C₄	—	34	1	no	—
1601	C₄⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1602	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1603	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1604	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₁₇	1	1	yes	characteristic
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	17	1	no	—
1615	C₂²⋊C₄	—	17	1	no	—
1616	C₂²⋊C₄	—	17	1	no	—
1617	C₂²⋊C₄	—	17	1	no	—
1618	C₂²⋊C₄	—	17	1	no	—
1619	C₂²⋊C₄	—	17	1	no	—
1620	C₂²⋊C₄	—	34	1	no	—
1621	C₂²⋊C₄	—	34	1	no	—
1622	C₂²⋊C₄	—	34	1	no	—
1623	C₂²⋊C₄	—	34	1	no	—
1624	C₂²⋊C₄	—	34	1	no	—
1625	C₂²⋊C₄	—	34	1	no	—
1626	C₂²⋊C₄	—	34	1	no	—
1627	C₂²⋊C₄	—	34	1	no	—
1628	C₂²⋊C₄	—	34	1	no	—
1629	C₂²⋊C₄	—	34	1	no	—
1630	C₂²⋊C₄	—	34	1	no	—
1631	C₂²⋊C₄	—	34	1	no	—
1632	C₂²⋊C₄	—	34	1	no	—
1633	C₂²⋊C₄	—	34	1	no	—
1634	C₂²⋊C₄	—	34	1	no	—
1635	C₂²⋊C₄	—	34	1	no	—
1636	C₂²⋊C₄	—	34	1	no	—
1637	C₂²⋊C₄	—	34	1	no	—
1638	C₂²⋊C₄	—	34	1	no	—
1639	C₂²⋊C₄	—	34	1	no	—
1640	C₂²⋊C₄	—	34	1	no	—
1641	C₂²⋊C₄	—	34	1	no	—
1642	C₂²⋊C₄	—	34	1	no	—
1643	C₂²⋊C₄	—	34	1	no	—
1644	C₂²⋊C₄	—	34	1	no	—
1645	C₂²⋊C₄	—	34	1	no	—
1646	C₂²⋊C₄	—	34	1	no	—
1647	C₂²⋊C₄	—	34	1	no	—
1648	C₂²⋊C₄	—	34	1	no	—
1649	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1650	C₂²⋊C₄	D₄×D₁₇	1	1	yes	characteristic
1651	C₄²	—	2	1	no	—
1652	C₄²	—	2	1	no	—
1653	C₄²	—	17	1	no	—
1654	C₄²	—	17	1	no	—
1655	C₄²	—	17	1	no	—
1656	C₄²	—	34	1	no	—
1657	C₄²	—	34	1	no	—
1658	C₄²	—	34	1	no	—
1659	C₄²	—	34	1	no	—
1660	C₄²	—	34	1	no	—
1661	C₄²	—	34	1	no	—
1662	C₄²	—	34	1	no	—
1663	C₄²	C₂³×D₁₇	1	1	yes	characteristic
1664	C₂³	—	2	1	no	—
1665	C₂³	—	2	1	no	—
1666	C₂³	—	4	2	no	—
1667	C₂³	—	4	2	no	—
1668	C₂³	—	8	1	no	—
1669	C₂³	—	17	1	no	—
1670	C₂³	—	17	1	no	—
1671	C₂³	—	17	1	no	—
1672	C₂³	—	34	2	no	—
1673	C₂³	—	34	4	no	—
1674	C₂³	—	34	2	no	—
1675	C₂³	—	34	2	no	—
1676	C₂³	—	34	1	no	—
1677	C₂³	—	34	1	no	—
1678	C₂³	—	34	1	no	—
1679	C₂³	—	68	1	no	—
1680	C₂³	—	68	1	no	—
1681	C₂³	—	68	1	no	—
1682	C₂³	—	68	2	no	—
1683	C₂³	—	68	2	no	—
1684	C₂³	—	68	2	no	—
1685	C₂³	—	68	2	no	—
1686	C₂³	—	68	2	no	—
1687	C₂³	—	68	2	no	—
1688	C₂³	—	68	2	no	—
1689	C₂³	—	68	2	no	—
1690	C₂³	—	68	2	no	—
1691	C₂³	—	68	2	no	—
1692	C₂³	—	68	2	no	—
1693	C₂³	—	136	1	no	—
1694	C₂³	—	136	1	no	—
1695	C₂³	—	136	1	no	—
1696	C₂³	—	136	16	no	—
1697	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1698	C₂³	C₂×D₄×D₁₇	1	1	yes	characteristic
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	34	1	no	—
1704	Q₈	—	34	1	no	—
1705	Q₈	—	68	2	no	—
1706	Q₈	—	68	2	no	—
1707	Q₈	—	136	1	no	—
1708	D₄	—	2	2	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	2	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	17	2	no	—
1716	D₄	—	34	4	no	—
1717	D₄	—	34	2	no	—
1718	D₄	—	34	1	no	—
1719	D₄	—	34	1	no	—
1720	D₄	—	34	1	no	—
1721	D₄	—	34	1	no	—
1722	D₄	—	34	1	no	—
1723	D₄	—	68	1	no	—
1724	D₄	—	68	2	no	—
1725	D₄	—	68	2	no	—
1726	D₄	—	68	2	no	—
1727	D₄	—	68	2	no	—
1728	D₄	—	68	2	no	—
1729	D₄	—	68	1	no	—
1730	D₄	—	68	2	no	—
1731	D₄	—	68	2	no	—
1732	D₄	—	68	2	no	—
1733	D₄	—	68	2	no	—
1734	D₄	—	68	2	no	—
1735	D₄	—	136	1	no	—
1736	D₄	—	136	1	no	—
1737	D₄	—	136	1	no	—
1738	D₄	—	136	1	no	—
1739	D₄	—	136	1	no	—
1740	D₄	#41×D₁₇	1	2	yes	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	4	2	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	17	1	no	—
1755	C₂×C₄	—	17	2	no	—
1756	C₂×C₄	—	17	2	no	—
1757	C₂×C₄	—	17	1	no	—
1758	C₂×C₄	—	17	1	no	—
1759	C₂×C₄	—	17	1	no	—
1760	C₂×C₄	—	17	1	no	—
1761	C₂×C₄	—	34	2	no	—
1762	C₂×C₄	—	34	2	no	—
1763	C₂×C₄	—	34	2	no	—
1764	C₂×C₄	—	34	2	no	—
1765	C₂×C₄	—	34	2	no	—
1766	C₂×C₄	—	34	2	no	—
1767	C₂×C₄	—	34	1	no	—
1768	C₂×C₄	—	34	1	no	—
1769	C₂×C₄	—	34	1	no	—
1770	C₂×C₄	—	34	1	no	—
1771	C₂×C₄	—	34	1	no	—
1772	C₂×C₄	—	34	1	no	—
1773	C₂×C₄	—	34	1	no	—
1774	C₂×C₄	—	34	1	no	—
1775	C₂×C₄	—	34	1	no	—
1776	C₂×C₄	—	68	1	no	—
1777	C₂×C₄	—	68	1	no	—
1778	C₂×C₄	—	68	2	no	—
1779	C₂×C₄	—	68	2	no	—
1780	C₂×C₄	—	68	2	no	—
1781	C₂×C₄	—	68	2	no	—
1782	C₂×C₄	—	68	2	no	—
1783	C₂×C₄	—	68	2	no	—
1784	C₂×C₄	—	68	2	no	—
1785	C₂×C₄	—	68	2	no	—
1786	C₂×C₄	—	136	1	no	—
1787	C₂×C₄	—	136	1	no	—
1788	C₂×C₄	—	136	1	no	—
1789	C₂×C₄	—	136	1	no	—
1790	C₂×C₄	—	136	1	no	—
1791	C₂×C₄	—	136	1	no	—
1792	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1793	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1794	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1795	C₂×C₄	C₂×D₄×D₁₇	1	1	yes	characteristic
1796	C₂×C₄	C₂⁴×D₁₇	1	1	yes	characteristic
1797	C₈	—	2	1	no	—
1798	C₈	—	2	1	no	—
1799	C₈	—	2	1	no	—
1800	C₈	—	2	1	no	—
1801	C₈	—	34	1	no	—
1802	C₈	—	34	1	no	—
1803	C₈	—	34	1	no	—
1804	C₈	—	34	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	2	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	8	4	no	—
1817	C₂²	—	17	2	no	—
1818	C₂²	—	34	1	no	—
1819	C₂²	—	34	1	no	—
1820	C₂²	—	34	1	no	—
1821	C₂²	—	34	1	no	—
1822	C₂²	—	34	2	no	—
1823	C₂²	—	34	1	no	—
1824	C₂²	—	34	1	no	—
1825	C₂²	—	34	1	no	—
1826	C₂²	—	34	1	no	—
1827	C₂²	—	68	4	no	—
1828	C₂²	—	68	8	no	—
1829	C₂²	—	68	1	no	—
1830	C₂²	—	68	1	no	—
1831	C₂²	—	68	1	no	—
1832	C₂²	—	68	1	no	—
1833	C₂²	—	68	1	no	—
1834	C₂²	—	68	1	no	—
1835	C₂²	—	68	1	no	—
1836	C₂²	—	68	1	no	—
1837	C₂²	—	136	4	no	—
1838	C₂²	—	136	2	no	—
1839	C₂²	—	136	4	no	—
1840	C₂²	—	136	4	no	—
1841	C₂²	—	136	4	no	—
1842	C₂²	#11763606	1	2	yes	—
1843	C₂²	C₂²×D₄×D₁₇	1	1	yes	characteristic
1844	C₄	—	2	1	no	—
1845	C₄	—	2	1	no	—
1846	C₄	—	2	1	no	—
1847	C₄	—	2	1	no	—
1848	C₄	—	4	1	no	—
1849	C₄	—	4	1	no	—
1850	C₄	—	4	1	no	—
1851	C₄	—	4	1	no	—
1852	C₄	—	4	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	17	2	no	—
1855	C₄	—	34	1	no	—
1856	C₄	—	34	1	no	—
1857	C₄	—	34	1	no	—
1858	C₄	—	34	1	no	—
1859	C₄	—	68	1	no	—
1860	C₄	—	68	1	no	—
1861	C₄	—	68	1	no	—
1862	C₄	—	68	1	no	—
1863	C₄	—	68	1	no	—
1864	C₄	C₂×#41×D₁₇	1	1	yes	characteristic
1865	C₄	H(5,𝔽₂)×D₁₇	1	1	yes	characteristic
1866	C₂	—	2	2	no	—
1867	C₂	—	4	1	no	—
1868	C₂	—	4	2	no	—
1869	C₂	—	8	1	no	—
1870	C₂	—	34	2	no	—
1871	C₂	—	68	1	no	—
1872	C₂	—	68	1	no	—
1873	C₂	—	68	2	no	—
1874	C₂	—	136	1	no	—
1875	C₂	—	136	1	no	—
1876	C₂	D₁₇×#546	1	1	yes	characteristic
1877	C₂	C₂×#11763606	1	1	yes	characteristic
1878	C₂	#14543562	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×#3296	C₂
socle	C₂²×C₁₇	C₂³×D₄
hypercenter	#3296	D₁₇
hypocenter	C₁₇	#61156
LCS	G ▷ C₂×C₄×C₁₇ ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3296

Complements

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

N	H ≅ G/N	type
1. #14542337	C₂	semidirect
2. D₁₇×#546	C₂	semidirect
3. #14541007	C₂	semidirect
4. #14541005	C₂	semidirect
5. #14540984	C₂	semidirect
6. #14540982	C₂	semidirect
7. #14540938	C₂	semidirect
8. #14540936	C₂	semidirect
9. #14540871	C₂	semidirect
10. #14540869	C₂	semidirect
11. #14540826	C₂	semidirect
12. #14540824	C₂	semidirect
13. #14540743	C₂	semidirect
14. #14540741	C₂	semidirect
15. #14540636	C₂	semidirect
16. #14540634	C₂	semidirect
17. #14540613	C₂	semidirect
18. #14539167	C₂	semidirect
19. #14538727	C₂	semidirect
20. #14538723	C₂	semidirect
21. #14538579	C₂	semidirect
22. #14538411	C₂	semidirect
23. #14538396	C₂	semidirect
24. #14538275	C₂	semidirect
25. #14538027	C₂	semidirect
26. #14538012	C₂	semidirect
27. C₄×#10587600	C₂	semidirect
28. D₄×#63218	C₂	semidirect
29. #14537299	C₂	semidirect
30. C₂×#11762812	C₂	semidirect
31. C₁₇×#3296	C₂	semidirect
34. C₂×#10587604	C₂²	semidirect
38. C₂²×#63218	C₂²	semidirect
39. #11763530	C₂²	semidirect
40. #11763522	C₂²	semidirect
41. #11763517	C₂²	semidirect
42. #11763512	C₂²	semidirect
43. #11763505	C₂²	semidirect
44. #11763500	C₂²	semidirect
48. #11763460	C₂²	semidirect
61. #11763365	C₂²	semidirect
67. #11763322	C₂²	semidirect
73. C₄×#63256	C₂²	semidirect
78. #117×D₁₇	C₂²	semidirect
80. #11763170	C₂²	semidirect
81. #11763170	C₂²	semidirect
82. #11763167	C₂²	semidirect
83. #11763167	C₂²	semidirect
84. #11763166	C₂²	semidirect
85. #11763164	C₂²	semidirect
86. #11763163	C₂²	semidirect
87. #11763153	C₂²	semidirect
88. #11763153	C₂²	semidirect
89. #11763149	C₂²	semidirect
90. #11763149	C₂²	semidirect
91. #11763145	C₂²	semidirect
92. #11763142	C₂²	semidirect
93. #11763139	C₂²	semidirect
94. #11763134	C₂²	semidirect
95. #11763133	C₂²	semidirect
96. #11763130	C₂²	semidirect
97. #11763129	C₂²	semidirect
98. #11763126	C₂²	semidirect
99. #11763124	C₂²	semidirect
100. #11763121	C₂²	semidirect
101. #11763110	C₂²	semidirect
102. #11763109	C₂²	semidirect
103. #11763106	C₂²	semidirect
104. #11763098	C₂²	semidirect
105. #11763097	C₂²	semidirect
106. #11763088	C₂²	semidirect
107. #11763087	C₂²	semidirect
108. #11763066	C₂²	semidirect
109. #11763064	C₂²	semidirect
110. #11763063	C₂²	semidirect
111. #11763061	C₂²	semidirect
112. #11763058	C₂²	semidirect
113. #11763058	C₂²	semidirect
114. #11763056	C₂²	semidirect
115. #11763052	C₂²	semidirect
116. #11763048	C₂²	semidirect
117. #11763045	C₂²	semidirect
118. #11763043	C₂²	semidirect
119. #11763040	C₂²	semidirect
120. #11763040	C₂²	semidirect
121. #11763038	C₂²	semidirect
122. #11763033	C₂²	semidirect
123. #11763031	C₂²	semidirect
124. #11763029	C₂²	semidirect
125. #11763027	C₂²	semidirect
126. #11763025	C₂²	semidirect
127. #11763023	C₂²	semidirect
128. #11763021	C₂²	semidirect
129. #11762970	C₂²	semidirect
130. #11762969	C₂²	semidirect
131. #11762968	C₂²	semidirect
132. #11762959	C₂²	semidirect
133. #11762958	C₂²	semidirect
134. #11762958	C₂²	semidirect
135. #11762957	C₂²	semidirect
136. #11762956	C₂²	semidirect
137. #11762955	C₂²	semidirect
138. #11762954	C₂²	semidirect
139. #11762945	C₂²	semidirect
140. #11762944	C₂²	semidirect
141. #11762944	C₂²	semidirect
142. #11762943	C₂²	semidirect
143. #11762920	C₂²	semidirect
144. #11762918	C₂²	semidirect
145. #11762912	C₂²	semidirect
146. #11762910	C₂²	semidirect
147. C₄×#63230	C₂²	semidirect
148. C₄×D₁₃₆	C₂²	semidirect
149. C₄×#63228	C₂²	semidirect
150. #11762888	C₂²	semidirect
151. #11762886	C₂²	semidirect
152. #11762880	C₂²	semidirect
153. #11762880	C₂²	semidirect
154. #11762877	C₂²	semidirect
155. #11762877	C₂²	semidirect
156. D₄×#3622	C₂²	semidirect
157. #11762850	C₂²	semidirect
158. #11762848	C₂²	semidirect
159. #11762848	C₂²	semidirect
160. #11762831	C₂²	semidirect
161. #11762816	C₂²	semidirect
162. #11762816	C₂²	semidirect
163. #11762816	C₂²	semidirect
170. #11762812	C₂²	semidirect
171. #11762812	C₂²	semidirect
172. #11762812	C₂²	semidirect
173. #11762812	C₂²	semidirect
174. #11762809	C₂²	semidirect
175. #11762809	C₂²	semidirect
176. #11762809	C₂²	semidirect
177. #11762807	C₂²	semidirect
178. #11762807	C₂²	semidirect
179. #11762806	C₂²	semidirect
180. #11762805	C₂²	semidirect
181. #11762803	C₂²	semidirect
182. C₂×#10587492	C₂²	semidirect
183. C₂×#10587503	C₂²	semidirect
184. C₂×#10587480	C₂²	semidirect
186. #11762771	C₂²	semidirect
187. C₄×#63218	C₂²	semidirect
188. C₁₇×#552	C₂²	semidirect
190. C₁₇×#488	C₂²	semidirect
191. C₁₇×#483	C₂²	semidirect
192. C₁₇×#482	C₂²	semidirect
193. C₁₇×#478	C₂²	semidirect
194. C₁₇×#467	C₂²	semidirect
195. C₁₇×#465	C₂²	semidirect
196. C₁₇×#464	C₂²	semidirect
197. C₁₇×#452	C₂²	semidirect
198. C₁₇×#450	C₂²	semidirect
199. C₄×SD₁₆×C₁₇	C₂²	semidirect
200. C₈×D₄×C₁₇	C₂²	semidirect
201. C₁₇×#416	C₂²	semidirect
202. C₂×C₁₇×#102	C₂²	semidirect
233. C₂×Q₁₆×C₁₇	C₂³	semidirect
237. C₂²×C₈×C₁₇	C₂³	semidirect
240. C₁₇×#125	C₂³	semidirect
246. C₁₇×C₂²⋊Q₈	C₂³	semidirect
250. C₄×Q₈×C₁₇	C₂³	semidirect
254. C₁₇×#117	C₂³	semidirect
262. #10587632	C₂³	semidirect
263. Q₈×Dic₁₇	C₂³	semidirect
264. C₂×#63231	C₂³	semidirect
267. C₂×#63230	C₂³	semidirect
286. #10587616	C₂³	semidirect
295. #10587612	C₂³	semidirect
300. C₂²×#3622	C₂³	semidirect
306. C₂×#63219	C₂³	semidirect
315. C₂×#63218	C₂³	semidirect
316. C₂×#63218	C₂³	semidirect
330. #10587581	C₂³	semidirect
344. #10587579	C₂³	semidirect
356. C₄⋊C₄×D₁₇	C₂³	semidirect
357. C₄⋊C₄×D₁₇	C₂³	semidirect
360. #10587574	C₂³	semidirect
361. #10587574	C₂³	semidirect
411. C₄×D₆₈	C₂³	semidirect
418. #10587556	C₂³	semidirect
419. C₁₇×#107	C₂³	semidirect
420. C₁₇×#106	C₂³	semidirect
421. C₁₇×#106	C₂³	semidirect
422. C₁₇×C₄⋊C₈	C₂³	semidirect
423. C₁₇×#103	C₂³	semidirect
424. C₁₇×#103	C₂³	semidirect
425. C₁₇×#103	C₂³	semidirect
426. C₁₇×#103	C₂³	semidirect
434. C₁₇×C₂²⋊C₈	C₂³	semidirect
435. C₄×C₈×C₁₇	C₂³	semidirect
436. #10587506	C₂³	semidirect
437. #10587506	C₂³	semidirect
438. #10587506	C₂³	semidirect
439. #10587506	C₂³	semidirect
447. C₂²⋊#3622	C₂³	semidirect
454. #10587492	C₂³	semidirect
457. #10587491	C₂³	semidirect
458. #10587491	C₂³	semidirect
459. #10587489	C₂³	semidirect
460. #10587489	C₂³	semidirect
461. #10587488	C₂³	semidirect
462. #10587487	C₂³	semidirect
463. #10587487	C₂³	semidirect
464. #10587487	C₂³	semidirect
465. #10587486	C₂³	semidirect
466. #10587486	C₂³	semidirect
467. #10587485	C₂³	semidirect
468. #10587485	C₂³	semidirect
469. #10587481	C₂³	semidirect
470. #10587481	C₂³	semidirect
471. #10587481	C₂³	semidirect
478. #10587480	C₂³	semidirect
479. #10587479	C₂³	semidirect
480. #10587479	C₂³	semidirect
481. #10587479	C₂³	semidirect
482. #10587478	C₂³	semidirect
483. #10587478	C₂³	semidirect
484. #10587478	C₂³	semidirect
485. C₄⋊#3622	C₂³	semidirect
486. C₄×#3622	C₂³	semidirect
554. D₄×D₁₇	#41	semidirect
883. #3296	D₁₇	semidirect
972. #552	C₂×D₁₇	semidirect
1015. #488	C₂×D₁₇	semidirect
1023. #483	C₂×D₁₇	semidirect
1027. #482	C₂×D₁₇	semidirect
1035. #478	C₂×D₁₇	semidirect
1049. #467	C₂×D₁₇	semidirect
1055. #465	C₂×D₁₇	semidirect
1059. #464	C₂×D₁₇	semidirect
1067. #452	C₂×D₁₇	semidirect
1071. #450	C₂×D₁₇	semidirect
1085. C₄×SD₁₆	C₂×D₁₇	semidirect
1095. C₈×D₄	C₂×D₁₇	semidirect
1121. #416	C₂×D₁₇	semidirect
1125. C₂×#102	C₂×D₁₇	semidirect
1176. C₂×Q₁₆	C₂²×D₁₇	semidirect
1200. C₂²×C₈	C₂²×D₁₇	semidirect
1213. #125	C₂²×D₁₇	semidirect
1253. C₂²⋊Q₈	C₂²×D₁₇	semidirect
1289. C₄×Q₈	C₂²×D₁₇	semidirect
1329. #117	C₂²×D₁₇	semidirect
1363. #107	C₂²×D₁₇	semidirect
1368. #106	C₂²×D₁₇	semidirect
1369. #106	C₂²×D₁₇	semidirect
1373. C₄⋊C₈	C₂²×D₁₇	semidirect
1384. #103	C₂²×D₁₇	semidirect
1385. #103	C₂²×D₁₇	semidirect
1386. #103	C₂²×D₁₇	semidirect
1387. #103	C₂²×D₁₇	semidirect
1421. C₂²⋊C₈	C₂²×D₁₇	semidirect
1425. C₄×C₈	C₂²×D₁₇	semidirect
1426. C₁₇	#61156	semidirect

Maximal subgroups

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

subgroup	index
#14542337	2
D₁₇×#546	2
#14541007	2
#14541005	2
#14540984	2
#14540982	2
#14540938	2
#14540936	2
#14540871	2
#14540869	2
#14540826	2
#14540824	2
#14540743	2
#14540741	2
#14540636	2
#14540634	2
#14540613	2
#14539167	2
#14538727	2
#14538723	2
#14538579	2
#14538411	2
#14538396	2
#14538275	2
#14538027	2
#14538012	2
C₄×#10587600	2
D₄×#63218	2
#14537299	2
C₂×#11762812	2
C₁₇×#3296	2
#61156	17